{"meta":{"query_hash":"e2a625f72c32","filters":{"topic":"Differential Equations and Numerical Methods"},"cohort_total":254,"direct_labels_cover":0,"predictions_cover":254,"exported":254,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/e2a625f72c32","api":"https://metacan.xera.ac/api/v1/cohort?topic=Differential+Equations+and+Numerical+Methods"},"results":[{"id":"W1197028967","doi":"10.1007/978-3-319-18311-4","title":"Asymptotic methods in mechanics of solids","year":2015,"lang":"en","type":"book","venue":"International series of numerical mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mechanics; Classical mechanics; Mathematics; Calculus (dental); Physics; Medicine; Orthodontics","score_opus":0.09617231696559185,"score_gpt":0.4124853396365978,"score_spread":0.3163130226710059,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1197028967","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00006704345,0.00014464562,0.7756808,0.0002646044,0.00091917714,0.00047410975,0.00015243486,0.000061146406,0.22223608],"genre_scores_gemma":[0.00061195303,0.00006690364,0.9089837,0.000025217574,0.0001495293,0.00003738939,0.000051339382,0.000116995994,0.089956984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960497,0.00021089445,0.0020752295,0.0003413733,0.0010521043,0.00027072127],"domain_scores_gemma":[0.99482524,0.0021399911,0.0015824024,0.0005855479,0.0007380304,0.00012877664],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013146173,0.00044183823,0.0016173769,0.0004223243,0.000018345741,0.00002150356,0.000914694,0.00043035447,0.0006558655],"category_scores_gemma":[0.0036439626,0.00039882297,0.00038468902,0.00026829235,0.00016406184,0.0001518913,0.0003818855,0.00045576497,0.000015286503],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050135634,0.0008832892,0.0000034720185,0.0011506403,0.00036669182,0.0000059943372,0.0008196528,0.00003709982,0.00035468905,0.98421234,0.003303189,0.008812828],"study_design_scores_gemma":[0.00035258936,0.00025807985,0.0000031877591,0.0006456288,0.00014930239,0.000016038737,0.00014240101,0.006251997,0.0006764724,0.9777737,0.013420974,0.00030960384],"about_ca_topic_score_codex":0.00002410618,"about_ca_topic_score_gemma":0.0000060368316,"teacher_disagreement_score":0.13330293,"about_ca_system_score_codex":0.00029316248,"about_ca_system_score_gemma":0.0003222911,"threshold_uncertainty_score":0.99984634},"labels":[],"label_agreement":null},{"id":"W12009016","doi":"10.1007/978-3-540-34469-8_18","title":"Optimized Schwarz Methods with Robin Conditions for the Advection-Diffusion Equation","year":2007,"lang":"en","type":"book-chapter","venue":"Lecture notes in computational science and engineering","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Convergence (economics); Mathematics; Simple (philosophy); Schwarz alternating method; Applied mathematics; Diffusion; Advection; Mathematical optimization; Domain decomposition methods; Physics","score_opus":0.07216578471844769,"score_gpt":0.3744615033843911,"score_spread":0.3022957186659434,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W12009016","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00012181665,0.00012477151,0.9978341,0.00032551785,0.00021840558,0.00049024745,0.000009344768,0.000047206668,0.0008285771],"genre_scores_gemma":[0.019000981,0.000015923662,0.9804845,0.00007844866,0.000119543845,0.000052560004,0.000024303496,0.000030043579,0.00019369966],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99880975,0.000016233162,0.00027728584,0.00029834043,0.00039367107,0.00020471799],"domain_scores_gemma":[0.99305147,0.006372841,0.00011955811,0.00012645063,0.0002706845,0.000059010712],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013678476,0.00020330104,0.00023942321,0.00032949756,0.00031234237,0.00009023861,0.0001449997,0.00012271597,0.000033132877],"category_scores_gemma":[0.0013027841,0.00013812867,0.000052180254,0.00028014573,0.00017913329,0.0001093807,0.000042581185,0.00026950694,7.1769523e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002093561,0.000013305332,0.0000010545001,0.00004519852,0.00002357275,5.820254e-7,0.00011806153,0.6614425,0.0003647755,0.28038144,0.0000043309974,0.05758422],"study_design_scores_gemma":[0.00026106698,0.000050579238,0.00007978503,0.00011645116,0.000043957243,0.00000765973,0.0000032328155,0.6701706,0.00012475386,0.32844162,0.00053550425,0.00016480527],"about_ca_topic_score_codex":0.000009170623,"about_ca_topic_score_gemma":0.0000065483023,"teacher_disagreement_score":0.057419416,"about_ca_system_score_codex":0.00012442307,"about_ca_system_score_gemma":0.00011043329,"threshold_uncertainty_score":0.56327236},"labels":[],"label_agreement":null},{"id":"W1504461717","doi":"10.1090/crmp/039","title":"Group Theory and Numerical Analysis","year":2005,"lang":"en","type":"book","venue":"CRM proceedings & lecture notes","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Group (periodic table); Computer science; Mathematics; Physics; Quantum mechanics","score_opus":0.029179836731516574,"score_gpt":0.3209756900206196,"score_spread":0.291795853289103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1504461717","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0006057824,0.0012643425,0.73300856,0.0003551478,0.0001233393,0.00038039568,0.000023568058,0.00026824808,0.26397058],"genre_scores_gemma":[0.8405002,0.00042829957,0.11537241,0.0018406328,0.0056833914,0.00024916697,0.00026946224,0.000638378,0.035018105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99791443,0.0000543645,0.00050948665,0.0007029842,0.0004256003,0.00039312712],"domain_scores_gemma":[0.99699515,0.0019802894,0.00041498148,0.00021630763,0.00019657092,0.00019670067],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00076197315,0.00056989654,0.0011498267,0.0004555297,0.00018230904,0.000208462,0.00028308888,0.0006587337,0.00067169673],"category_scores_gemma":[0.0024298346,0.00044822003,0.0004454047,0.0005316626,0.00014603732,0.00010569596,0.00013960138,0.0007742565,0.000018457826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055615572,0.00007657495,0.00004460268,0.00020193611,0.00095517293,0.0000014677983,0.00047254234,0.0000010183019,0.00013607973,0.90479696,0.00038662678,0.09287141],"study_design_scores_gemma":[0.0001628919,0.00010673844,0.00009151039,0.00008652977,0.0036905208,0.0000072222374,0.000012975213,0.0002797007,0.00016236483,0.97416455,0.020722922,0.0005120561],"about_ca_topic_score_codex":0.0000032684845,"about_ca_topic_score_gemma":0.00000280946,"teacher_disagreement_score":0.83989435,"about_ca_system_score_codex":0.00011442375,"about_ca_system_score_gemma":0.000055579312,"threshold_uncertainty_score":0.9997969},"labels":[],"label_agreement":null},{"id":"W151373382","doi":"10.1007/978-1-4419-7916-2_2","title":"Adaptive Mesh Movement in 1D","year":2010,"lang":"en","type":"book-chapter","venue":"Applied mathematical sciences","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Simple (philosophy); Function (biology); Scaling; Mathematics; Argument (complex analysis); Selection (genetic algorithm); Applied mathematics; Computer science; Geometry; Artificial intelligence","score_opus":0.11550770710789895,"score_gpt":0.35460071026331136,"score_spread":0.2390930031554124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W151373382","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0002173128,0.000018445084,0.072521485,0.0001798345,0.000121846155,0.0006893851,0.000009022683,0.0000742525,0.92616844],"genre_scores_gemma":[0.015872702,0.000038269813,0.8494413,0.00038586368,0.00024710427,0.00025497444,0.0000054549755,0.00010228637,0.13365206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973595,0.000024726218,0.00073519174,0.00059250137,0.0008627212,0.00042536034],"domain_scores_gemma":[0.9975186,0.00157276,0.00030546615,0.00040429455,0.000039978182,0.00015888487],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0013417772,0.00039980272,0.0007747962,0.0002048692,0.00015724215,0.000090226546,0.0005881729,0.0003854117,0.004513703],"category_scores_gemma":[0.0002552787,0.00029064933,0.00015325543,0.00013852425,0.0007453221,0.00005899693,0.00023083274,0.0006323959,0.0003801997],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006444906,0.00011292138,2.3170422e-7,0.00006381275,0.000017010523,0.0000028072818,0.00012534659,5.0437376e-7,0.00023242905,0.98675424,0.00011863365,0.012565632],"study_design_scores_gemma":[0.0001582442,0.000082356295,0.0000035590074,0.00015337684,0.000049166785,0.0000012097834,0.00006410116,0.00032133333,0.00036307535,0.99655545,0.0018849178,0.00036321723],"about_ca_topic_score_codex":0.000004636388,"about_ca_topic_score_gemma":0.000024430525,"teacher_disagreement_score":0.79251635,"about_ca_system_score_codex":0.0000600413,"about_ca_system_score_gemma":0.00008283716,"threshold_uncertainty_score":0.9999546},"labels":[],"label_agreement":null},{"id":"W1586992193","doi":"10.1007/3-540-13917-6_107","title":"Compact explicit finite-difference approximations to the Navier-Stokes equations","year":2008,"lang":"en","type":"book-chapter","venue":"Lecture notes in physics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Truncation (statistics); Truncation error; Dimension (graph theory); Finite difference; Exponential function; Space (punctuation); Navier–Stokes equations; Mathematical analysis; Grid; Variable (mathematics); Approximations of π; Compressibility; Applied mathematics; Geometry; Pure mathematics; Computer science; Physics","score_opus":0.11651223390249633,"score_gpt":0.3463526377510914,"score_spread":0.22984040384859505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1586992193","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00008270751,0.00017110458,0.96282464,0.0011961116,0.00026897996,0.0008584982,0.00014662788,0.00009628658,0.034355067],"genre_scores_gemma":[0.6216749,0.0005561886,0.31653365,0.0038950376,0.004865342,0.0006586007,0.0008901885,0.0007640722,0.05016205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980205,0.00011681751,0.000574191,0.00044265442,0.00049927714,0.00034650898],"domain_scores_gemma":[0.99213547,0.006370513,0.00030187203,0.0009292934,0.00015429898,0.00010856227],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00017670247,0.0005131282,0.0006894792,0.00013944009,0.00030120264,0.000079326564,0.00054086815,0.00029024816,0.00019253742],"category_scores_gemma":[0.0016283975,0.0003711506,0.00028073313,0.00028653216,0.000105704865,0.00005846327,0.00011145446,0.0009148944,0.00014569156],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021188456,0.0002699517,0.000009802662,0.00012161945,0.00014162571,0.0000050144804,0.004156976,0.009185827,0.000109157096,0.6966168,0.0010320226,0.28833],"study_design_scores_gemma":[0.00016953521,0.0000785095,0.000033602395,0.0002872072,0.00011733093,0.0000022197898,0.000006543698,0.011618594,0.00029713858,0.9734809,0.013383015,0.00052543497],"about_ca_topic_score_codex":0.000035347006,"about_ca_topic_score_gemma":0.00009779457,"teacher_disagreement_score":0.64629096,"about_ca_system_score_codex":0.00012275766,"about_ca_system_score_gemma":0.00009614023,"threshold_uncertainty_score":0.99987406},"labels":[],"label_agreement":null},{"id":"W1645258943","doi":"10.1109/cca.1995.555659","title":"On the computation of optimal singular controls","year":2002,"lang":"en","type":"article","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Queen's University","funders":"","keywords":"Singular perturbation; Computation; Mathematical optimization; Optimal control; Singular value; Singular solution; Perturbation (astronomy); Computer science; Dynamic programming; Singular control; Applied mathematics; Mathematics; Singular point of a curve; Algorithm; Mathematical analysis; Physics","score_opus":0.11679729005697827,"score_gpt":0.35634950181203195,"score_spread":0.2395522117550537,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1645258943","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18983486,0.0000074820873,0.7892944,0.00057497347,0.000036395337,0.00010967614,6.924037e-7,0.000020611456,0.020120895],"genre_scores_gemma":[0.9051898,7.8964865e-7,0.094255745,0.00010116186,0.000011386112,0.0000039609154,2.684158e-7,0.0000045062616,0.00043239733],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995488,0.000088474655,0.00013823347,0.000052607043,0.000113911316,0.000057976205],"domain_scores_gemma":[0.99866015,0.0011376019,0.000056946134,0.000095190095,0.000035326146,0.000014794229],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00016790566,0.00004308707,0.00010058082,0.00001865471,0.000033838292,0.000010944709,0.000050644125,0.000018550145,0.000983849],"category_scores_gemma":[0.0005023196,0.000023652621,0.000044548604,0.00006951644,0.0000276281,0.000015394946,0.000008571945,0.000038276423,0.000023352059],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000064524265,0.00018532037,0.0000031725458,0.000006849032,0.000018796307,2.0992792e-7,0.00011392036,0.000103245664,0.0009899609,0.96538115,0.0012377623,0.031953186],"study_design_scores_gemma":[0.00040136516,0.00021615709,0.000092492875,0.000022966593,0.00003212045,6.6391834e-7,0.0000674127,0.37532693,0.0041251434,0.61939806,0.00023613717,0.000080550795],"about_ca_topic_score_codex":0.0000030730714,"about_ca_topic_score_gemma":1.8009742e-7,"teacher_disagreement_score":0.7153549,"about_ca_system_score_codex":0.0000046051787,"about_ca_system_score_gemma":0.0000013003116,"threshold_uncertainty_score":0.99992937},"labels":[],"label_agreement":null},{"id":"W1664023317","doi":"10.1007/s10884-015-9484-4","title":"Periodic Solutions of a Singularly Perturbed Delay Differential Equation with Two State-Dependent Delays","year":2015,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Singular perturbation; Bifurcation; Mathematical analysis; Ordinary differential equation; Classification of discontinuities; Singular solution; Cusp (singularity); Bifurcation diagram; Boundary value problem; Differential equation; Nonlinear system; Geometry; Physics","score_opus":0.07265939299427447,"score_gpt":0.32405663490449743,"score_spread":0.25139724191022295,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1664023317","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41014817,0.00007626116,0.589033,0.00014959474,0.0002632929,0.00016608821,0.000050378276,0.000015051977,0.000098137534],"genre_scores_gemma":[0.96923476,0.000027472766,0.030289091,0.000012570199,0.00014870933,0.000011605721,0.00003794492,0.00004131276,0.00019653136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9969747,0.00034152082,0.0011757426,0.00023840081,0.0009172487,0.00035237716],"domain_scores_gemma":[0.99639606,0.00070287415,0.0011332579,0.00028626344,0.0011053776,0.00037613502],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00062073994,0.00030406244,0.0006987289,0.00042833923,0.00024125398,0.00018621256,0.00024622784,0.00011087377,0.00009117529],"category_scores_gemma":[0.0009495679,0.00022652598,0.00021838903,0.000333107,0.00020909481,0.00035917148,0.00011061501,0.00036014855,0.0000016942482],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0023163399,0.0058458396,0.0031411145,0.0003219848,0.002008004,0.00005875685,0.00914482,0.004444183,0.01637495,0.88252413,0.0001863875,0.07363346],"study_design_scores_gemma":[0.007613571,0.002470198,0.0021056326,0.0002705084,0.0015243214,0.000153244,0.0014177234,0.7427561,0.00039831406,0.24061657,0.000020743206,0.0006530152],"about_ca_topic_score_codex":0.00011768006,"about_ca_topic_score_gemma":0.00034365486,"teacher_disagreement_score":0.73831195,"about_ca_system_score_codex":0.00018094065,"about_ca_system_score_gemma":0.00034361408,"threshold_uncertainty_score":0.92374617},"labels":[],"label_agreement":null},{"id":"W1808193740","doi":"10.1002/rnc.1769","title":"Corrections to ‘ filtering for singularly perturbed nonlinear systems’","year":2011,"lang":"en","type":"article","venue":"International Journal of Robust and Nonlinear Control","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Nonlinear system; Computation; Applied mathematics; Scale (ratio); Mathematics; Decomposition; Computer science; Algorithm; Physics","score_opus":0.11597686858227317,"score_gpt":0.3487004826577218,"score_spread":0.23272361407544861,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1808193740","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.078553684,0.00008128075,0.91815984,0.00040718523,0.0022557871,0.00022691401,0.00006635827,0.000016128899,0.00023280221],"genre_scores_gemma":[0.35066882,0.000017141207,0.64727426,0.00019270982,0.0014141473,0.000016773442,0.000003817419,0.000027253333,0.00038509784],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99894404,0.00006084649,0.0005065238,0.000112142705,0.00024285477,0.00013360487],"domain_scores_gemma":[0.99811447,0.00052634894,0.00028226656,0.0000845229,0.00086012,0.00013226893],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048268907,0.00011609034,0.00028950113,0.00020134434,0.000064570515,0.00009055237,0.00021490185,0.000054934368,0.000052507803],"category_scores_gemma":[0.001150313,0.00009229369,0.00014594635,0.00006567065,0.000023495068,0.00014540217,0.000028379138,0.00012247221,0.0000026159425],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.025073772,0.010109245,0.012617553,0.00081456866,0.013230224,0.0005460646,0.020146292,0.008147633,0.08503525,0.11239747,0.011947306,0.6999346],"study_design_scores_gemma":[0.021401804,0.005556602,0.004584472,0.0015897473,0.0015491201,0.0010643936,0.0025882223,0.8222601,0.005075758,0.028272621,0.10437264,0.0016845261],"about_ca_topic_score_codex":0.000024511497,"about_ca_topic_score_gemma":0.00000696204,"teacher_disagreement_score":0.8141125,"about_ca_system_score_codex":0.000036032605,"about_ca_system_score_gemma":0.000041627067,"threshold_uncertainty_score":0.37636274},"labels":[],"label_agreement":null},{"id":"W1964333834","doi":"10.1016/j.amc.2007.08.078","title":"A super-attainable order in collocation methods for differential equations with proportional delay","year":2007,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Japan Society for the Promotion of Science; Waseda University; Ministry of Education, Culture, Sports, Science and Technology","keywords":"Superconvergence; Collocation (remote sensing); Orthogonal collocation; Mathematics; Collocation method; Order (exchange); Differential equation; Mathematical analysis; Applied mathematics; Ordinary differential equation; Physics; Computer science; Finite element method","score_opus":0.05692569294379573,"score_gpt":0.4021102759996228,"score_spread":0.34518458305582705,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964333834","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06943273,0.000012663237,0.9284353,0.00006680883,0.000039588187,0.0011228088,0.0000027794515,0.000048135455,0.0008391523],"genre_scores_gemma":[0.3495973,0.0000014682073,0.6500453,0.000016222288,0.000025141502,0.0002080931,0.000034079287,0.000020721729,0.000051704286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987607,0.000029946776,0.000525201,0.000245939,0.00019273494,0.0002454814],"domain_scores_gemma":[0.99717313,0.0022080312,0.00020694711,0.000121284014,0.00022341259,0.000067211935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011365167,0.00016868135,0.000291204,0.00018126078,0.00015832554,0.00006555428,0.00006486484,0.0000839894,0.00002089096],"category_scores_gemma":[0.00032853807,0.00013745617,0.00003268556,0.00042232088,0.00005584267,0.00007515497,0.000027579908,0.00008967097,0.0000015085382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000077088516,0.0005664208,0.0000132053265,0.00026968506,0.000035785153,5.1671714e-7,0.0011532484,0.00037251506,0.00243081,0.88249457,0.00002773131,0.112558454],"study_design_scores_gemma":[0.0011708837,0.00014025155,0.00029118964,0.000041321382,0.00007571441,0.000005058769,0.00087470445,0.28117606,0.0009458847,0.71496636,0.00008808017,0.00022451553],"about_ca_topic_score_codex":0.000009368386,"about_ca_topic_score_gemma":0.000031917774,"teacher_disagreement_score":0.28080356,"about_ca_system_score_codex":0.000053815693,"about_ca_system_score_gemma":0.000056876717,"threshold_uncertainty_score":0.56052995},"labels":[],"label_agreement":null},{"id":"W1964766590","doi":"10.4153/cmb-2011-159-6","title":"Comparison Theorem for Conjugate Points of a Fourth-order Linear Differential Equation","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Conjugate; Conjugate points; Order (exchange); Differential equation; Third order; Pure mathematics; Term (time); Mathematical analysis; Law","score_opus":0.15030211950133132,"score_gpt":0.35504490922350596,"score_spread":0.20474278972217463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1964766590","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08342334,0.000009209717,0.9056428,0.0006282404,0.0001381703,0.0007580289,0.00006224661,0.00004627721,0.009291664],"genre_scores_gemma":[0.59433484,0.0000012760771,0.4047868,0.00008440256,0.00006601165,0.00009017675,0.000015951326,0.00004604514,0.00057450053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981329,0.00017646508,0.00076329935,0.00026211079,0.00022556813,0.00043966444],"domain_scores_gemma":[0.9974845,0.0012148455,0.00025027042,0.00038317312,0.00026245252,0.00040473192],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00064465764,0.00022769412,0.0006156066,0.00016053754,0.00010822735,0.000022960825,0.00026746685,0.00016392324,0.017911205],"category_scores_gemma":[0.0031671633,0.0001920051,0.00018842093,0.00016288814,0.00015954669,0.000028144837,0.000036079895,0.00013025684,0.00044290887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000090104244,0.0003695211,0.00008888016,0.00035791285,0.000099547964,0.0000022545428,0.0014376153,0.0000015055174,0.00029013833,0.99050343,0.002385368,0.0043737283],"study_design_scores_gemma":[0.0008680492,0.0002804236,0.00014176416,0.00014857863,0.00019462832,0.000003703147,0.00023311986,0.022496536,0.0048540295,0.9675506,0.002887975,0.000340643],"about_ca_topic_score_codex":0.00036612691,"about_ca_topic_score_gemma":0.00030779722,"teacher_disagreement_score":0.5109115,"about_ca_system_score_codex":0.00005711285,"about_ca_system_score_gemma":0.000106757645,"threshold_uncertainty_score":0.98298657},"labels":[],"label_agreement":null},{"id":"W1969477751","doi":"10.1016/j.camwa.2003.06.010","title":"Multiquadric collocation method with integralformulation for boundary layer problems","year":2004,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; Simon Fraser University","funders":"","keywords":"Collocation (remote sensing); Mathematics; Singular boundary method; Context (archaeology); Boundary (topology); Radial basis function; Orthogonal collocation; Transformation (genetics); Boundary value problem; Collocation method; Domain (mathematical analysis); Scheme (mathematics); Applied mathematics; Mathematical analysis; Computer science; Boundary element method; Finite element method; Differential equation; Ordinary differential equation; Artificial neural network","score_opus":0.062177284288117106,"score_gpt":0.365189618716003,"score_spread":0.3030123344278859,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1969477751","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0034603295,0.00002054499,0.9916776,0.0004910299,0.000037512575,0.003543691,0.000017269273,0.00025889126,0.0004931789],"genre_scores_gemma":[0.05244443,0.000004655867,0.9439481,0.00007606174,0.00007190385,0.0031761597,0.00007272936,0.00007132535,0.00013464452],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984424,0.000042564014,0.0005189972,0.00039617746,0.00030235638,0.00029751804],"domain_scores_gemma":[0.9975453,0.00093256054,0.00040136054,0.0005977232,0.00039587103,0.00012716907],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044021348,0.00029035355,0.00040413934,0.0001668856,0.00035621878,0.00013819375,0.0002806249,0.000095236486,0.000009404707],"category_scores_gemma":[0.000072785086,0.0002069177,0.00009045506,0.0006709092,0.00009552415,0.00018820637,0.0000394513,0.000149492,0.0000133134545],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000515394,0.0013042911,0.000022334778,0.0007385308,0.00018039787,4.1308175e-7,0.002180379,0.0072462936,0.00070536556,0.9322216,0.00015339031,0.055195466],"study_design_scores_gemma":[0.0021681648,0.0004436529,0.000091518676,0.00031052623,0.0002913116,0.000032132797,0.00028387544,0.089643136,0.0016609351,0.899487,0.005102053,0.00048567483],"about_ca_topic_score_codex":0.000013948159,"about_ca_topic_score_gemma":0.000033309967,"teacher_disagreement_score":0.08239684,"about_ca_system_score_codex":0.00014930908,"about_ca_system_score_gemma":0.00014204836,"threshold_uncertainty_score":0.8437859},"labels":[],"label_agreement":null},{"id":"W1971465623","doi":"10.2478/cmam-2008-0015","title":"Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels","year":2008,"lang":"en","type":"article","venue":"Computational Methods in Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Tsinghua University","keywords":"Mathematics; Piecewise; Superconvergence; Mathematical analysis; Integral equation; Galerkin method; Volterra integral equation; Collocation method; Differential equation; Polynomial; Fredholm integral equation; Discretization; Applied mathematics; Ordinary differential equation; Nonlinear system; Finite element method; Physics","score_opus":0.11024283873886585,"score_gpt":0.4300813082165444,"score_spread":0.3198384694776785,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971465623","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0023741443,0.000030897496,0.9920758,0.00013507443,0.00019655593,0.0015964583,0.00004074262,0.00019513072,0.003355207],"genre_scores_gemma":[0.01931795,0.0000042081656,0.97919923,0.000077979115,0.00014781405,0.0007447003,0.00007875236,0.00013192881,0.0002974257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99632823,0.00044508412,0.0013088594,0.0006780448,0.00068085245,0.00055894215],"domain_scores_gemma":[0.9838416,0.014534618,0.0005984914,0.00054808974,0.00029108516,0.0001861172],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00203259,0.00053232344,0.0010684731,0.00041385452,0.00035708834,0.00008950301,0.0004740343,0.0002259535,0.00018672958],"category_scores_gemma":[0.0021785053,0.00044211978,0.00025189403,0.0007611809,0.00024942512,0.00010921247,0.0001404845,0.0004284743,0.000013703665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011967539,0.0008893507,0.000009785059,0.00038958885,0.000189501,0.0000058230894,0.0020695843,0.0059189545,0.0049945368,0.94927126,0.00019723346,0.035944723],"study_design_scores_gemma":[0.0010408434,0.000109615255,0.000070134374,0.000095266805,0.00012700004,0.000026501244,0.00023868687,0.34878722,0.002187464,0.6467563,0.00018722171,0.00037375683],"about_ca_topic_score_codex":0.000009157074,"about_ca_topic_score_gemma":0.0000054008588,"teacher_disagreement_score":0.34286827,"about_ca_system_score_codex":0.00014799819,"about_ca_system_score_gemma":0.00021235363,"threshold_uncertainty_score":0.99980307},"labels":[],"label_agreement":null},{"id":"W1971729826","doi":"10.1016/j.cam.2005.01.039","title":"A metastable flame-front interface and Carrier's problem","year":2005,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia Hospital; York University","funders":"","keywords":"Mathematics; Mathematical analysis; Parabola; Boundary value problem; Metastability; Steady state (chemistry); Asymptotic analysis; Nonlinear system; Boundary (topology); Geometry; Physics","score_opus":0.03401191789628754,"score_gpt":0.32290823159065235,"score_spread":0.2888963136943648,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971729826","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16024953,0.00023541052,0.8363805,0.00052225846,0.00003441379,0.00014892736,0.0000059574436,0.000013941622,0.002409061],"genre_scores_gemma":[0.26630494,0.000016696773,0.7333799,0.000043465003,0.00007761829,0.0000036608785,5.582361e-7,0.000011905347,0.00016127244],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988974,0.00002406305,0.0005889453,0.00009369635,0.00027440378,0.000121503224],"domain_scores_gemma":[0.9986346,0.00063326914,0.00042224032,0.00006337741,0.00013312037,0.0001134306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005456196,0.00013143636,0.0003769956,0.000085091306,0.00007600978,0.00007289079,0.00008273127,0.000039862403,0.00006382644],"category_scores_gemma":[0.00008600334,0.00009620647,0.000053063904,0.000064782114,0.000059125006,0.00011307525,0.000054582186,0.00014737519,0.0000030758988],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056605422,0.0006271445,0.000010980726,0.00049928343,0.0003014204,0.0000024623203,0.00384471,0.005845924,0.0016372878,0.87279963,0.0015893884,0.11278513],"study_design_scores_gemma":[0.0006521552,0.0000989818,0.00004626673,0.00008002523,0.00012927093,0.00012402877,0.00042885786,0.018682979,0.0009116594,0.9760572,0.002660798,0.00012778993],"about_ca_topic_score_codex":4.889367e-7,"about_ca_topic_score_gemma":9.199432e-7,"teacher_disagreement_score":0.11265734,"about_ca_system_score_codex":0.000021262947,"about_ca_system_score_gemma":0.00003425562,"threshold_uncertainty_score":0.3923186},"labels":[],"label_agreement":null},{"id":"W1971973469","doi":"10.1016/j.cam.2013.10.045","title":"Numerical analysis of the second-order characteristic FEM for nonlinear aerosol dynamic equations","year":2013,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"National Natural Science Foundation of China","keywords":"Aerosol; Nonlinear system; Mathematics; Advection; Finite element method; Dynamic equation; Applied mathematics; Mathematical analysis; Meteorology; Physics; Thermodynamics","score_opus":0.034916955573372134,"score_gpt":0.3280166343793998,"score_spread":0.29309967880602766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971973469","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21865948,0.0000106616235,0.7805582,0.00028455313,0.000056076202,0.00026401025,0.000034949393,0.000005232163,0.00012679705],"genre_scores_gemma":[0.5020566,0.0000012127283,0.4977214,0.000052438812,0.000028806095,0.000017360477,0.0000074702575,0.000010435064,0.00010426107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986165,0.000030987056,0.0008370299,0.00008947719,0.00031223395,0.00011372923],"domain_scores_gemma":[0.99585134,0.0025829668,0.00090733834,0.00012061726,0.00047207577,0.000065638094],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032074677,0.00012385726,0.00051757146,0.00014107578,0.00010069463,0.000046166097,0.00016155533,0.00005056371,0.00020376233],"category_scores_gemma":[0.00040453317,0.000078126286,0.00022757892,0.00047790958,0.00006912263,0.000064276894,0.00003339283,0.00011901591,0.0000020535674],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010265139,0.0039032924,0.000108638465,0.00193877,0.0067289704,7.805497e-7,0.0040674815,0.03274756,0.013261211,0.8976685,0.0008911585,0.038580995],"study_design_scores_gemma":[0.0004055265,0.000059754268,0.0012042586,0.000033667737,0.00089173036,0.0000053175663,0.00013536346,0.5436421,0.0002702668,0.45320275,0.000052416483,0.00009685094],"about_ca_topic_score_codex":6.114428e-7,"about_ca_topic_score_gemma":9.187503e-7,"teacher_disagreement_score":0.51089454,"about_ca_system_score_codex":0.000018827304,"about_ca_system_score_gemma":0.000054540178,"threshold_uncertainty_score":0.31858975},"labels":[],"label_agreement":null},{"id":"W1974239094","doi":"10.1002/fld.2163","title":"A fourth‐order finite‐difference method for solving the system of two‐dimensional Burgers' equations","year":2009,"lang":"en","type":"article","venue":"International Journal for Numerical Methods in Fluids","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":57,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Burgers' equation; Mathematics; Heat equation; Finite difference method; Compact finite difference; Boundary value problem; Mathematical analysis; Order (exchange); Finite difference; Partial differential equation; Boundary (topology); Applied mathematics","score_opus":0.10627760747002829,"score_gpt":0.48223386573174093,"score_spread":0.37595625826171264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974239094","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.001003433,0.00010000012,0.9931168,0.0024845481,0.0023827194,0.0006200753,0.000051724175,0.000040721436,0.00020000622],"genre_scores_gemma":[0.033578224,0.0000073629003,0.96519655,0.00030170387,0.00049910066,0.00013904991,0.000010342602,0.00003452238,0.00023311799],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9961452,0.0009429855,0.0014379876,0.00034997263,0.00069563277,0.0004282423],"domain_scores_gemma":[0.9708817,0.026799077,0.0005904934,0.00029711725,0.0012847468,0.00014684432],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0057710777,0.0002866767,0.00068226276,0.00037439633,0.00028522193,0.0001272551,0.000853835,0.00013131481,0.00008012181],"category_scores_gemma":[0.018001465,0.00020004995,0.0005411752,0.00051374466,0.000077137665,0.00015421577,0.00008520406,0.00043742036,0.0000014795913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00046610285,0.00054756174,0.000047637717,0.00005336871,0.00031807905,0.000005188287,0.00058991916,0.007858659,0.030268244,0.42616773,0.00045705208,0.53322047],"study_design_scores_gemma":[0.0011971551,0.0003055113,0.00010925144,0.0001840974,0.000102074686,0.000041789288,0.0001223151,0.5662713,0.0029505154,0.42798564,0.0005416281,0.00018870934],"about_ca_topic_score_codex":0.000029259161,"about_ca_topic_score_gemma":0.0000018339624,"teacher_disagreement_score":0.5584127,"about_ca_system_score_codex":0.00021788989,"about_ca_system_score_gemma":0.00014207928,"threshold_uncertainty_score":0.9902703},"labels":[],"label_agreement":null},{"id":"W1975654827","doi":"10.1007/s11075-009-9317-9","title":"Quadratic spline collocation for one-dimensional linear parabolic partial differential equations","year":2009,"lang":"en","type":"article","venue":"Numerical Algorithms","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Discretization; Partial differential equation; Applied mathematics; Collocation (remote sensing); Spline (mechanical); Orthogonal collocation; Parabolic partial differential equation; Tridiagonal matrix; Collocation method; Dimension (graph theory); Quadratic equation; Mathematical optimization; Mathematical analysis; Ordinary differential equation; Differential equation; Computer science; Geometry","score_opus":0.10306374602243626,"score_gpt":0.3891902368052939,"score_spread":0.2861264907828577,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1975654827","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011522379,0.000037623835,0.98502606,0.0017526268,0.00046866556,0.00081678055,0.000051266623,0.00020144986,0.0001231733],"genre_scores_gemma":[0.542267,0.000003567674,0.45548555,0.00032660304,0.00094106403,0.00020502965,0.0001591079,0.000038836446,0.0005731841],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.997511,0.00019117916,0.000768041,0.00048341183,0.0005458448,0.00050048257],"domain_scores_gemma":[0.99749315,0.0013529059,0.00024142321,0.00038711447,0.00026193933,0.00026344863],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00031197758,0.00030599552,0.0005883388,0.00011903644,0.0003261489,0.00007026211,0.00023134785,0.00017436036,0.0004097618],"category_scores_gemma":[0.0014218575,0.00027062633,0.00027295304,0.0004925474,0.00007125235,0.00014490746,0.000037672,0.0002256729,0.000070316186],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00053564255,0.00804471,0.000034708413,0.00011084197,0.0002946915,0.0000046671344,0.00044756185,0.0010242854,0.010248989,0.4666141,0.0024940039,0.5101458],"study_design_scores_gemma":[0.0016145464,0.00082681305,0.0008513115,0.00003967866,0.00024907888,0.0000032508235,0.000019819468,0.8142634,0.0033900265,0.17653011,0.0017270171,0.00048495634],"about_ca_topic_score_codex":0.000021070964,"about_ca_topic_score_gemma":0.0000018786255,"teacher_disagreement_score":0.8132391,"about_ca_system_score_codex":0.00007099575,"about_ca_system_score_gemma":0.00009654148,"threshold_uncertainty_score":0.9999746},"labels":[],"label_agreement":null},{"id":"W1977974273","doi":"10.1016/j.camwa.2011.12.057","title":"On the existence of positive solutions for systems of differential equations with a distributed delay","year":2012,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Delay differential equation; Matrix (chemical analysis); Fundamental matrix (linear differential equation); Distributed parameter system; Mathematical analysis; Applied mathematics; Pure mathematics; Differential equation","score_opus":0.07676447822511696,"score_gpt":0.3226385633918281,"score_spread":0.24587408516671116,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1977974273","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012444756,0.000032167925,0.98457485,0.00012450344,0.00004438218,0.0021329417,0.000342335,0.00004214334,0.00026190057],"genre_scores_gemma":[0.72773814,0.0000017816934,0.27081352,0.000008615266,0.00003860923,0.0012912863,0.000055454882,0.000023986726,0.00002859803],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986394,0.00008440481,0.0005054817,0.00016665863,0.0002997734,0.00030428983],"domain_scores_gemma":[0.9928111,0.005539697,0.00057481055,0.00060119166,0.00038012047,0.000093091316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035066856,0.00019083498,0.0003907268,0.00008182233,0.00027182727,0.000028470424,0.00030063925,0.00005292888,0.000010078077],"category_scores_gemma":[0.00018427147,0.00011148023,0.00009954243,0.0004311672,0.00023833923,0.00006860473,0.000057550937,0.00009844588,0.0000026346604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002612317,0.001075922,0.000012367495,0.00022996782,0.00016106493,3.5482458e-8,0.00062259927,0.00031674313,0.00021608475,0.99683017,0.0001460808,0.00036283347],"study_design_scores_gemma":[0.0029452317,0.0019673323,0.00093744445,0.0024425467,0.0024255104,0.00004556855,0.003330905,0.39958304,0.0035992453,0.58108294,0.00045277918,0.0011874684],"about_ca_topic_score_codex":0.000007982811,"about_ca_topic_score_gemma":0.0000025566048,"teacher_disagreement_score":0.7152934,"about_ca_system_score_codex":0.000038557988,"about_ca_system_score_gemma":0.00004712237,"threshold_uncertainty_score":0.45460317},"labels":[],"label_agreement":null},{"id":"W1982522543","doi":"10.4153/cmb-2010-045-4","title":"Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Monotone polygon; Boundary value problem; Nonlinear system; Order (exchange); Mathematical analysis; Value (mathematics); Applied mathematics; Differential equation; Initial value problem; Geometry","score_opus":0.03913073635294588,"score_gpt":0.3123010330215811,"score_spread":0.2731702966686352,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982522543","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06625091,0.000014155733,0.91782856,0.004201792,0.00066494173,0.0019123635,0.00037997545,0.00014556316,0.008601716],"genre_scores_gemma":[0.20813456,0.0000010650485,0.77762014,0.00066569797,0.0006400573,0.0008067907,0.00011948764,0.00016190603,0.011850286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99784625,0.000105650055,0.0006709156,0.00041290754,0.0002720045,0.00069228816],"domain_scores_gemma":[0.99593747,0.0022922424,0.00014299978,0.00056958996,0.00026656708,0.0007911138],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00063044805,0.0003125001,0.0004907547,0.00019209557,0.00040312958,0.00020776335,0.00035690336,0.00026768527,0.049067933],"category_scores_gemma":[0.0061406004,0.00027160934,0.00022282232,0.00021224274,0.00020846771,0.00004706205,0.00005310514,0.0004809141,0.0015459494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019888048,0.00054535025,0.0000083409095,0.00061248575,0.000118836266,0.0000053738318,0.00047556497,0.000003523504,0.0049235104,0.9705659,0.01668106,0.006040135],"study_design_scores_gemma":[0.0009309815,0.00012183639,0.000025835967,0.00007341669,0.00012428826,0.000012545721,0.00005977662,0.02877921,0.00089616724,0.6908387,0.27761033,0.0005268882],"about_ca_topic_score_codex":0.0003152891,"about_ca_topic_score_gemma":0.0048812646,"teacher_disagreement_score":0.27972722,"about_ca_system_score_codex":0.00007937559,"about_ca_system_score_gemma":0.00034407055,"threshold_uncertainty_score":0.9999736},"labels":[],"label_agreement":null},{"id":"W1982585708","doi":"10.1007/s10543-012-0373-5","title":"Superconvergent interpolants for collocation methods applied to Volterra integro-differential equations with delay","year":2012,"lang":"en","type":"article","venue":"BIT Numerical Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Collocation method; Superconvergence; Collocation (remote sensing); Orthogonal collocation; Mathematics; Differential equation; Applied mathematics; Mathematical analysis; Computer science; Ordinary differential equation; Finite element method","score_opus":0.11641433173198117,"score_gpt":0.41802981246433,"score_spread":0.30161548073234884,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982585708","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014706067,0.00002253314,0.9818037,0.00021545538,0.00049294555,0.0016421798,0.000034123914,0.0001892064,0.00089380064],"genre_scores_gemma":[0.39463744,0.0000016299712,0.6039737,0.00012061106,0.00017955308,0.00069943786,0.000024676327,0.000073057854,0.00028989412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974075,0.00019781194,0.0008600573,0.00038477097,0.00043563548,0.00071425777],"domain_scores_gemma":[0.9955954,0.0028141686,0.00026340463,0.00060423877,0.00022283188,0.0004999622],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00089620065,0.00042582682,0.0007687081,0.00021990307,0.00021130666,0.000094596864,0.00036722014,0.00016191031,0.00052299304],"category_scores_gemma":[0.001852371,0.0003144365,0.00019959068,0.0006248247,0.00007086025,0.00017708866,0.00014146429,0.00020873323,0.00011932012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029569623,0.004105595,0.000098592,0.00067022094,0.0004945862,7.2838816e-7,0.0087512825,0.000032847394,0.02314774,0.8906321,0.003039773,0.068730846],"study_design_scores_gemma":[0.0071267374,0.0036507046,0.0011141023,0.0010175342,0.0036675038,0.00010469995,0.008734078,0.3585714,0.08517906,0.49303037,0.03245094,0.0053528408],"about_ca_topic_score_codex":0.000012775896,"about_ca_topic_score_gemma":0.0000038476314,"teacher_disagreement_score":0.39760172,"about_ca_system_score_codex":0.00015703028,"about_ca_system_score_gemma":0.000055042827,"threshold_uncertainty_score":0.9999308},"labels":[],"label_agreement":null},{"id":"W1983445941","doi":"10.4153/cmb-2011-061-1","title":"On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Nonlinear system; Ordinary differential equation; Asymptotic analysis; Differential equation; Mathematical analysis; Applied mathematics","score_opus":0.09065789670406071,"score_gpt":0.31133630679524377,"score_spread":0.22067841009118305,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983445941","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01598297,0.000005405668,0.9712039,0.00022406047,0.00010962273,0.0005654214,0.00008653646,0.000037124013,0.011784925],"genre_scores_gemma":[0.8588711,6.3134087e-7,0.13961738,0.00013711333,0.000052871615,0.00012984003,0.000023304097,0.000041662403,0.0011260821],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853444,0.0001798992,0.0005299624,0.00022798948,0.00019557284,0.0003321637],"domain_scores_gemma":[0.9960524,0.002983706,0.00013849385,0.00034864372,0.00014945932,0.00032731908],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00053333485,0.00019556799,0.00038389437,0.00019862627,0.00010474203,0.00002014201,0.00022208565,0.00014089327,0.016038494],"category_scores_gemma":[0.0045239613,0.00015755054,0.00019614621,0.00013962362,0.0001806658,0.000021913107,0.000019435365,0.00014644094,0.0005375711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056431563,0.00025671814,9.3240027e-7,0.00009223654,0.000039442253,0.0000010947288,0.00034971893,7.8127357e-7,0.0000616552,0.9859227,0.0008054013,0.012412914],"study_design_scores_gemma":[0.00038101507,0.00030109985,0.000037080543,0.00013607026,0.000117197575,0.0000015899066,0.00019734232,0.007192446,0.0016587024,0.98937535,0.0004153287,0.00018674984],"about_ca_topic_score_codex":0.00015822324,"about_ca_topic_score_gemma":0.00024458984,"teacher_disagreement_score":0.8428881,"about_ca_system_score_codex":0.00009762214,"about_ca_system_score_gemma":0.00011087419,"threshold_uncertainty_score":0.98486096},"labels":[],"label_agreement":null},{"id":"W1984084163","doi":"10.1007/978-1-4614-3455-9_4","title":"Oscillation of Equations with Distributed Delays","year":2012,"lang":"en","type":"book-chapter","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Oscillation (cell signaling); Delay differential equation; Mathematics; Differential equation; Scalar (mathematics); Mathematical analysis; Distributed parameter system; Population; Applied mathematics; Chemistry; Geometry","score_opus":0.10836762307808827,"score_gpt":0.33441316729414544,"score_spread":0.22604554421605716,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984084163","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000028453851,0.000037481044,0.6734745,0.000036406116,0.00004534379,0.00017699829,0.00009835858,0.00004018925,0.3260623],"genre_scores_gemma":[0.093544535,0.000059399263,0.44836783,0.000029101333,0.0002635935,0.000030646075,0.0007351746,0.00014856375,0.45682117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903953,0.000023549102,0.00038195754,0.00014382302,0.00028326333,0.00012784914],"domain_scores_gemma":[0.99835443,0.0007052874,0.000351653,0.00031591652,0.00020122842,0.00007147132],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00017691682,0.00019031334,0.00036751345,0.00009174041,0.000044952612,0.000011105865,0.00008596932,0.00017894864,0.00298009],"category_scores_gemma":[0.00016159218,0.00013537898,0.00010056162,0.00004727766,0.00006685011,0.000058801397,0.000033771717,0.00012890282,0.000039167393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010240519,0.000038138664,0.000006872791,0.00004717435,0.00007954537,1.8028557e-7,0.000026691649,0.0000042777997,0.000023294286,0.9873949,0.00025906478,0.01210959],"study_design_scores_gemma":[0.00026420402,0.00014429666,0.00004840643,0.00015031607,0.00052325317,0.0000019434474,0.000011956228,0.0008045809,0.00013816373,0.9746419,0.022924194,0.00034676617],"about_ca_topic_score_codex":0.000010212704,"about_ca_topic_score_gemma":0.00001650986,"teacher_disagreement_score":0.22510666,"about_ca_system_score_codex":0.000036340487,"about_ca_system_score_gemma":0.00003706959,"threshold_uncertainty_score":0.9979313},"labels":[],"label_agreement":null},{"id":"W1984232807","doi":"10.1111/j.1939-7445.2000.tb00036.x","title":"DIFFUSION AND BIFURCATION PROBLEMS IN SINGULARLY PERTURBED DOMAINS","year":2000,"lang":"en","type":"article","venue":"Natural Resource Modeling","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bifurcation; Domain (mathematical analysis); Diffusion; Nonlinear system; Boundary (topology); Mathematics; Mathematical analysis; Boundary value problem; Steady state (chemistry); Physics; Thermodynamics; Chemistry","score_opus":0.04289115903662577,"score_gpt":0.31871942239193835,"score_spread":0.2758282633553126,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984232807","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94171846,0.0004415993,0.056547575,0.0002528384,0.000027798427,0.00020296057,8.6766727e-7,0.000059989172,0.00074788276],"genre_scores_gemma":[0.95821893,0.000039590563,0.040943637,0.000082105056,0.000050485556,0.0000117431955,0.000007046229,0.000019540954,0.00062693504],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989227,0.00011958372,0.00028659482,0.00024020675,0.00022301267,0.00020789092],"domain_scores_gemma":[0.9994783,0.00022644088,0.000043055163,0.00016045806,0.000033186803,0.0000585586],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003431742,0.00012899133,0.00018796646,0.00010943044,0.00011073895,0.00006509043,0.000088453315,0.00009769858,0.000081858816],"category_scores_gemma":[0.00033040368,0.000102344384,0.00004450469,0.0002160943,0.000023447266,0.000099844554,0.000031019965,0.00026265084,0.000005037339],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011923984,0.00027721928,0.00026778877,0.000119562676,0.000018685725,0.0000035457101,0.0051693153,0.010640124,0.01788694,0.0058127656,0.0000324594,0.95965236],"study_design_scores_gemma":[0.0004727908,0.000029189923,0.00023630794,0.00011327482,0.000014185878,0.0000035502223,0.00010408596,0.93264335,0.000053116488,0.0654851,0.00069144426,0.00015362579],"about_ca_topic_score_codex":0.00007573406,"about_ca_topic_score_gemma":0.000022562155,"teacher_disagreement_score":0.9594987,"about_ca_system_score_codex":0.000047696103,"about_ca_system_score_gemma":0.000008456173,"threshold_uncertainty_score":0.41734827},"labels":[],"label_agreement":null},{"id":"W1986713399","doi":"10.1016/j.cam.2005.06.006","title":"On the existence of positive solution for second-order multi-points boundary value problems","year":2005,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Fixed-point theorem; Implicit function theorem; Schauder fixed point theorem; Banach space; Fixed point; Boundary value problem; Order (exchange); Mathematical analysis; Degree (music); Function (biology); Picard–Lindelöf theorem; Applied mathematics; Pure mathematics","score_opus":0.06775953332537656,"score_gpt":0.34012272940241683,"score_spread":0.2723631960770403,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1986713399","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06321977,0.00003174367,0.93480855,0.00084430276,0.000053456683,0.00033363356,0.00002004002,0.000005531206,0.0006829596],"genre_scores_gemma":[0.16305973,0.0000030236713,0.8366215,0.00013995706,0.00007988637,0.000012107046,0.000002278376,0.000011595732,0.00006991081],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988986,0.000035145655,0.00060418114,0.000078980214,0.00028019497,0.000102865684],"domain_scores_gemma":[0.99612564,0.0027819332,0.00066578056,0.00007149776,0.0003107191,0.000044424603],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075873884,0.00011172903,0.0002865729,0.00006401833,0.0001235526,0.00003293482,0.00010826918,0.00004218439,0.000036169135],"category_scores_gemma":[0.00030531184,0.000069586065,0.00009012339,0.00009434726,0.000095156574,0.000060987273,0.00002450155,0.00012377382,0.0000017013363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004498076,0.00064234785,5.787686e-7,0.00022383042,0.00009102348,1.4584708e-7,0.0012288906,0.0020300385,0.0013016745,0.9860569,0.00044494844,0.007934645],"study_design_scores_gemma":[0.0006623942,0.000162804,0.000061541985,0.0001433338,0.000059009475,0.00001722309,0.00013722257,0.09965136,0.0013800648,0.89748096,0.00016974691,0.00007431529],"about_ca_topic_score_codex":1.889336e-7,"about_ca_topic_score_gemma":5.7743426e-7,"teacher_disagreement_score":0.09983996,"about_ca_system_score_codex":0.00002395937,"about_ca_system_score_gemma":0.000053514454,"threshold_uncertainty_score":0.28376374},"labels":[],"label_agreement":null},{"id":"W1987242831","doi":"10.4153/cmb-2000-056-5","title":"The Dynamics of Localized Solutions of Nonlocal Reaction-Diffusion Equations","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Reaction–diffusion system; Mathematical analysis; Linearization; Metastability; Domain (mathematical analysis); Essential spectrum; Partial differential equation; Boundary value problem; Nonlinear system; Physics","score_opus":0.038720597353649654,"score_gpt":0.29765933836107594,"score_spread":0.2589387410074263,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987242831","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04759067,0.00007889342,0.87898564,0.010986224,0.00014922487,0.0007508874,0.00014285077,0.00006275624,0.061252877],"genre_scores_gemma":[0.9349127,0.00005190425,0.053298645,0.00011739464,0.00006503477,0.00008227882,0.000030496316,0.000055204993,0.011386359],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982602,0.00020756855,0.0007154794,0.00015909149,0.00029455248,0.00036313603],"domain_scores_gemma":[0.996116,0.0028132799,0.00015752482,0.0004775082,0.00015292942,0.00028275765],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007709819,0.00014489244,0.0003478477,0.00009961965,0.00031493488,0.000022686178,0.00027215492,0.00012268608,0.01218369],"category_scores_gemma":[0.002318024,0.00010583464,0.00017007902,0.00031282363,0.00035472558,0.000022123302,0.0000257891,0.00017154137,0.0005312159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016674587,0.00014441348,0.000003119728,0.000063480904,0.000034206078,9.735248e-7,0.00009832262,0.000007741627,0.00011777108,0.9498571,0.0016474993,0.048008684],"study_design_scores_gemma":[0.00047568043,0.00010699418,0.000057215628,0.00016643459,0.0001445846,0.00000875327,0.0003541016,0.104875416,0.00015270011,0.8682912,0.025128085,0.00023882488],"about_ca_topic_score_codex":0.0017347604,"about_ca_topic_score_gemma":0.0035462778,"teacher_disagreement_score":0.887322,"about_ca_system_score_codex":0.0001350881,"about_ca_system_score_gemma":0.00017817493,"threshold_uncertainty_score":0.9887193},"labels":[],"label_agreement":null},{"id":"W1987609956","doi":"10.4153/cmb-2010-001-2","title":"On the Oscillation of a Second Order Strictly Sublinear Differential Equation","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Sublinear function; Oscillation (cell signaling); Order (exchange); Differential (mechanical device); Differential equation; Mathematical analysis; Pure mathematics; Applied mathematics; Chemistry; Thermodynamics","score_opus":0.059056172542118125,"score_gpt":0.30068683466430746,"score_spread":0.24163066212218934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987609956","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6574073,0.000012046658,0.28255212,0.012707218,0.0001367311,0.0008120512,0.000048601803,0.00006249982,0.046261486],"genre_scores_gemma":[0.98486245,0.0000012460553,0.012948252,0.0007014256,0.00007345945,0.00001679244,0.000009612386,0.00001970038,0.0013670732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984394,0.00020946623,0.00049171067,0.00020227046,0.00034695934,0.00031020676],"domain_scores_gemma":[0.99722075,0.0018193908,0.00016370666,0.00039312695,0.00016292572,0.0002400941],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00051812636,0.00017943345,0.00031106517,0.00016955471,0.0001402498,0.00006225111,0.00022812633,0.00011956941,0.039421115],"category_scores_gemma":[0.00399574,0.000120332705,0.000110632616,0.0003600002,0.00007281122,0.000025069097,0.000013844195,0.00019640176,0.000698296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000149660555,0.00011429552,0.000003675893,0.000033799926,0.000018174105,0.0000013365176,0.00013104524,0.000005023335,0.00029230665,0.9891442,0.006610856,0.0036303194],"study_design_scores_gemma":[0.00030966452,0.00021522248,0.0005026785,0.00007165723,0.00004657857,0.000002292775,0.000056741603,0.0053335866,0.000561377,0.9889505,0.0037574035,0.00019231872],"about_ca_topic_score_codex":0.00009292581,"about_ca_topic_score_gemma":0.00015570741,"teacher_disagreement_score":0.3274552,"about_ca_system_score_codex":0.00007968452,"about_ca_system_score_gemma":0.00010271573,"threshold_uncertainty_score":0.96145695},"labels":[],"label_agreement":null},{"id":"W1988779581","doi":"10.1016/j.cam.2013.09.006","title":"An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation","year":2013,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Mathematics; Compact finite difference; Dispersion (optics); Stability (learning theory); Wave equation; Mathematical analysis; Scheme (mathematics); Finite difference; Finite difference method; Numerical analysis; Alternating direction implicit method; Courant–Friedrichs–Lewy condition; Applied mathematics; Quantum mechanics; Discretization; Physics; Computer science","score_opus":0.05495404115607757,"score_gpt":0.31779525719056895,"score_spread":0.2628412160344914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988779581","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32116085,0.0000078302955,0.6782295,0.00011972195,0.00005478115,0.00032814257,0.0000068618065,0.000010707778,0.00008161043],"genre_scores_gemma":[0.43981022,0.0000022940155,0.56000125,0.00004160739,0.0000738261,0.000025145844,0.0000055382493,0.000013879849,0.000026258562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99858844,0.000030735206,0.0006700435,0.00013863908,0.00039456945,0.00017757525],"domain_scores_gemma":[0.9957938,0.0027146623,0.0006116031,0.000110033405,0.0006218447,0.00014803863],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003858615,0.0001766341,0.00039088447,0.000119786295,0.00013148894,0.00011845488,0.000118335156,0.00006833658,0.00007711735],"category_scores_gemma":[0.0005431756,0.0001301608,0.000092253285,0.00014501714,0.000065096574,0.000091379996,0.000029332887,0.00013782193,0.0000060934212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013586608,0.0034741287,0.000018272256,0.0014076886,0.00034588232,0.0000031757959,0.0063255173,0.23697616,0.02229887,0.6822311,0.0003835929,0.046399686],"study_design_scores_gemma":[0.0005058967,0.00012787238,0.00017778206,0.0000557621,0.000057252913,0.000010351806,0.0003505889,0.5667634,0.00019420398,0.43165883,0.000003256693,0.00009483266],"about_ca_topic_score_codex":6.716173e-7,"about_ca_topic_score_gemma":2.4123904e-7,"teacher_disagreement_score":0.32978722,"about_ca_system_score_codex":0.000029150038,"about_ca_system_score_gemma":0.00005779829,"threshold_uncertainty_score":0.5307804},"labels":[],"label_agreement":null},{"id":"W1993299486","doi":"10.1155/2011/637142","title":"On Nonoscillation of Advanced Differential Equations with Several Terms","year":2011,"lang":"en","type":"article","venue":"Abstract and Applied Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Differential equation; Applied mathematics; Mathematical analysis; Differential (mechanical device); Thermodynamics","score_opus":0.050013822666600864,"score_gpt":0.3034669063588531,"score_spread":0.2534530836922522,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1993299486","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72520465,0.0000014317453,0.26638836,0.000006009292,0.000009513328,0.00008659341,0.0000070561346,0.000018082732,0.00827833],"genre_scores_gemma":[0.9747522,0.0000027251785,0.025096882,0.000008117523,0.000013290102,0.000014353727,0.000021317634,0.000008706876,0.00008242674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.99930185,0.000014122162,0.00024546846,0.00016912888,0.00016266826,0.00010677979],"domain_scores_gemma":[0.999298,0.00025867694,0.00018344999,0.00017824947,0.000030418918,0.000051232295],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000079344274,0.0001136542,0.0002912708,0.00016373782,0.00007181037,0.000013654848,0.00005643665,0.000043238986,0.00044843345],"category_scores_gemma":[0.000030867308,0.00007980223,0.000086990774,0.0003508941,0.000048245012,0.00004643152,0.000013572792,0.00006596801,0.0000029600023],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00083335675,0.00171647,0.0025370293,0.00011243146,0.003119791,0.0000019434576,0.0031737983,0.0017817154,0.016327178,0.84307325,0.000026528243,0.12729652],"study_design_scores_gemma":[0.0024578883,0.0006150751,0.50091726,0.00005283937,0.005946946,7.625943e-7,0.00069585117,0.013138436,0.024164764,0.4510963,0.000027642162,0.00088626985],"about_ca_topic_score_codex":0.000024291183,"about_ca_topic_score_gemma":0.000025154855,"teacher_disagreement_score":0.4983802,"about_ca_system_score_codex":0.000006912944,"about_ca_system_score_gemma":0.0000055774335,"threshold_uncertainty_score":0.49100316},"labels":[],"label_agreement":null},{"id":"W1994899902","doi":"10.1007/s11630-008-0061-6","title":"Particle paths of Lagrangian velocity distribution simulating the spiral arms of galaxy M51","year":2008,"lang":"en","type":"article","venue":"Journal of Thermal Science","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Physics; Grand design spiral galaxy; Spiral galaxy; Galaxy; Barred spiral galaxy; Astrophysics; Spiral (railway); Irregular galaxy; Lagrangian; Classical mechanics; Elliptical galaxy; Lenticular galaxy; Theoretical physics; Mathematical analysis; Mathematics","score_opus":0.08434314690442055,"score_gpt":0.3568641405546947,"score_spread":0.27252099365027416,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994899902","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95847094,0.000023740206,0.041057788,0.00016920055,0.00009524167,0.000049369864,0.0000034571674,0.0000029733312,0.0001272712],"genre_scores_gemma":[0.98842776,0.0000041034905,0.011502053,0.000009683465,0.000044532164,3.3805856e-7,9.008519e-8,0.0000028362347,0.000008618235],"study_design_codex":"bench_or_experimental","study_design_gemma":"observational","domain_scores_codex":[0.9987378,0.00010291713,0.00044803947,0.000059709128,0.00050445425,0.00014706873],"domain_scores_gemma":[0.9985879,0.000364462,0.0005895737,0.00013043683,0.0002663203,0.000061304505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001667337,0.00005513694,0.00018055608,0.00002390166,0.00014309396,0.000011183645,0.00031173465,0.000020163834,0.000046713572],"category_scores_gemma":[0.0013956449,0.000030534833,0.000110503286,0.00042927387,0.00044324997,0.00018913754,0.00004850884,0.000106087995,6.8224796e-7],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023520774,0.0010163948,0.036540344,0.00009337234,0.00007085617,0.000014279654,0.0083935475,0.004337162,0.7193587,0.018692745,0.00006405397,0.21118337],"study_design_scores_gemma":[0.0007901012,0.0006707315,0.6540929,0.00011747474,0.00008574018,0.000048128597,0.00065849436,0.043367077,0.27088985,0.029048529,0.000061644634,0.0001693416],"about_ca_topic_score_codex":0.000020051448,"about_ca_topic_score_gemma":9.462376e-7,"teacher_disagreement_score":0.6175525,"about_ca_system_score_codex":0.000027515085,"about_ca_system_score_gemma":0.00007413924,"threshold_uncertainty_score":0.16708182},"labels":[],"label_agreement":null},{"id":"W1995026729","doi":"10.1155/2015/359043","title":"Dynamics of Delay Differential Equations with Its Applications 2014","year":2015,"lang":"en","type":"article","venue":"Abstract and Applied Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"Wilfrid Laurier University","funders":"China Postdoctoral Science Foundation; National Natural Science Foundation of China","keywords":"Mathematics; Delay differential equation; Dynamics (music); Applied mathematics; Differential equation; Mathematical analysis; Physics","score_opus":0.048493920276348745,"score_gpt":0.3297265927623962,"score_spread":0.28123267248604744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995026729","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14582509,0.000028068285,0.84959257,0.00007929675,0.000007520664,0.00018797886,0.000036164118,0.00003208607,0.004211225],"genre_scores_gemma":[0.97778684,0.000011394493,0.021762582,0.0000071782974,0.00003203234,0.00007817197,0.00011889905,0.000012845138,0.00019003761],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990573,0.000019934523,0.0003405056,0.00020249587,0.00024240205,0.00013736305],"domain_scores_gemma":[0.99885416,0.0004028013,0.00022271083,0.00025661188,0.0001272455,0.0001364428],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019054355,0.00013363313,0.0003696174,0.00018404622,0.000081252816,0.000034354216,0.000109006935,0.000063994485,0.00015614086],"category_scores_gemma":[0.000049375856,0.00010071746,0.00009457709,0.0006033275,0.00006582264,0.00004940173,0.000032006912,0.00009062172,0.000010331806],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000077611054,0.00080974743,0.0009090114,0.00008554648,0.0021084263,7.220154e-7,0.00042109317,0.001143668,0.0012920594,0.95700645,0.00013979759,0.036005877],"study_design_scores_gemma":[0.0043956744,0.00042841307,0.024307275,0.000047918285,0.02570967,0.0000058369533,0.0039999024,0.22053151,0.0063977083,0.7110336,0.0010863232,0.0020561896],"about_ca_topic_score_codex":0.000031854033,"about_ca_topic_score_gemma":0.00012181347,"teacher_disagreement_score":0.83196175,"about_ca_system_score_codex":0.000019149715,"about_ca_system_score_gemma":0.000026651405,"threshold_uncertainty_score":0.41071385},"labels":[],"label_agreement":null},{"id":"W1995908585","doi":"10.1016/j.cam.2008.03.024","title":"Recent advances in the numerical analysis of Volterra functional differential equations with variable delays","year":2008,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Università degli Studi di Napoli Federico II","keywords":"Mathematics; Volterra integral equation; Superconvergence; Collocation method; Pantograph; Collocation (remote sensing); Differential equation; Nonlinear system; Orthogonal collocation; Delay differential equation; Applied mathematics; Numerical analysis; Type (biology); Mathematical analysis; Integral equation; Variable (mathematics); Finite element method; Ordinary differential equation; Computer science","score_opus":0.056647687136632346,"score_gpt":0.31317395424473515,"score_spread":0.2565262671081028,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995908585","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09483266,0.00015207233,0.90409833,0.000102371705,0.000033596727,0.00010743615,0.000007326977,0.000004331446,0.0006618488],"genre_scores_gemma":[0.6676517,0.00012208558,0.3321057,0.000036833942,0.000045437955,0.000008858525,0.000009579029,0.0000077497525,0.000012078911],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99838674,0.000061535284,0.00073549326,0.0000961412,0.00060905155,0.000111021625],"domain_scores_gemma":[0.99663454,0.0023614506,0.000611542,0.000094784285,0.00024914218,0.00004855033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041308772,0.00012400157,0.00047785506,0.0002650095,0.0001031724,0.000019219822,0.00012667973,0.000037897982,0.00012667837],"category_scores_gemma":[0.00015932562,0.00007180263,0.00009192331,0.00088014675,0.00009976863,0.00010111225,0.000021193144,0.00016645217,5.2274913e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016830933,0.0017721419,0.00018698233,0.00009930037,0.0007049446,0.000004614023,0.002396828,0.12812914,0.00013879527,0.8567399,0.00012518575,0.009533857],"study_design_scores_gemma":[0.0016307699,0.00033187264,0.00775862,0.000078019075,0.0015519474,0.00013803289,0.00094999705,0.27426687,0.00006387711,0.71233016,0.00066700333,0.00023285668],"about_ca_topic_score_codex":6.481764e-7,"about_ca_topic_score_gemma":0.0000013091058,"teacher_disagreement_score":0.57281905,"about_ca_system_score_codex":0.000018928335,"about_ca_system_score_gemma":0.00007225754,"threshold_uncertainty_score":0.2928026},"labels":[],"label_agreement":null},{"id":"W1998140017","doi":"10.11145/j.biomath.2014.11.04151","title":"A Parameter Uniform Almost First Order Convergent Numerical Method for a Semi-Linear System of Singularly Perturbed Delay Differential Equations","year":2014,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trinity College","funders":"","keywords":"Mathematics; Piecewise; Mathematical analysis; Uniform convergence; Singular perturbation; Initial value problem; Piecewise linear function; Numerical analysis; Differential equation; Perturbation (astronomy); First order; Norm (philosophy); Applied mathematics","score_opus":0.2790788864929177,"score_gpt":0.5542860529743487,"score_spread":0.27520716648143106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998140017","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05280045,0.00036416357,0.9443003,0.00013260914,0.0007131245,0.0011099243,0.00011957042,0.00005665694,0.0004032213],"genre_scores_gemma":[0.73361564,0.00010804578,0.26533723,0.00008228913,0.0002388198,0.00021709297,0.000039430473,0.00010269102,0.0002587622],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9954335,0.0008926217,0.0018025674,0.0005293839,0.0008349288,0.0005069687],"domain_scores_gemma":[0.9887956,0.007519342,0.0015879284,0.00072317885,0.0010243134,0.000349682],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0022110355,0.00046299156,0.0016162358,0.000542366,0.00036485548,0.00049110077,0.001644415,0.00022111043,0.0030826302],"category_scores_gemma":[0.0061282157,0.00037030684,0.00054887414,0.0010202436,0.00012308777,0.0007106421,0.0005342978,0.00034291396,0.0000068221293],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0076794736,0.017620625,0.03999703,0.014839157,0.0125356065,0.000052971925,0.006982528,0.0070468453,0.33000875,0.26932517,0.042817775,0.25109407],"study_design_scores_gemma":[0.0036589988,0.0002354651,0.00626672,0.0015299323,0.0018283081,0.00002966432,0.00033846582,0.8677753,0.025279282,0.08220794,0.009432271,0.0014176081],"about_ca_topic_score_codex":0.0004702479,"about_ca_topic_score_gemma":0.00002652728,"teacher_disagreement_score":0.8607285,"about_ca_system_score_codex":0.00013603395,"about_ca_system_score_gemma":0.0001314305,"threshold_uncertainty_score":0.9998749},"labels":[],"label_agreement":null},{"id":"W1998559076","doi":"10.5539/jmr.v1n1p51","title":"Study on the Oscillation of a Class of Nonlinear Delay Functional Differential Equations","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Nonlinear system; Oscillation (cell signaling); Class (philosophy); Functional differential equation; Differential equation; Mathematical analysis; Delay differential equation; Functional equation; Fixed-point theorem; Variable (mathematics); Applied mathematics; Physics","score_opus":0.3853714657626034,"score_gpt":0.49170127687626375,"score_spread":0.10632981111366036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1998559076","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76862746,0.000013023308,0.2295593,0.0005633407,0.00009675758,0.00037629684,0.0000056555086,0.0000067327787,0.00075145223],"genre_scores_gemma":[0.97418696,0.000007682985,0.025504125,0.00000688553,0.00013785592,0.0000049868545,7.586824e-7,0.000017377719,0.00013337375],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9958653,0.00070750125,0.0011564153,0.00010197076,0.0019744276,0.00019438587],"domain_scores_gemma":[0.990364,0.0070561403,0.0007742277,0.0003668025,0.0013642709,0.00007455942],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00456244,0.00011861435,0.0004484976,0.0004382741,0.00011458382,0.000036130314,0.0003495058,0.000069289716,0.00017318137],"category_scores_gemma":[0.0063182316,0.000068859,0.00021123908,0.0005689698,0.00011772723,0.00007782809,0.000054478027,0.0005095326,0.0000044337903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006076757,0.029099701,0.00036122516,0.00032434854,0.00079269725,0.000015894946,0.010369192,0.0005644228,0.05314625,0.8897889,0.0024576944,0.012472],"study_design_scores_gemma":[0.002451755,0.007927037,0.0075511853,0.0005695133,0.00032297923,0.000030963132,0.010472549,0.04220816,0.012303498,0.91576165,0.0001471807,0.00025354876],"about_ca_topic_score_codex":0.0000026674709,"about_ca_topic_score_gemma":0.0000022412064,"teacher_disagreement_score":0.2055595,"about_ca_system_score_codex":0.00005467553,"about_ca_system_score_gemma":0.00013116703,"threshold_uncertainty_score":0.75639695},"labels":[],"label_agreement":null},{"id":"W2003787642","doi":"10.1007/s10543-010-0285-1","title":"Stability of collocation methods for delay differential equations with vanishing delays","year":2010,"lang":"en","type":"article","venue":"BIT Numerical Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Orthogonal collocation; Collocation (remote sensing); Mathematics; Piecewise; Collocation method; Delay differential equation; Exponential stability; Ordinary differential equation; Mathematical analysis; Applied mathematics; Differential equation; Nonlinear system; Computer science; Physics","score_opus":0.09032094547931405,"score_gpt":0.4079312092951325,"score_spread":0.31761026381581847,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003787642","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07612015,0.000009056923,0.921888,0.00011500582,0.00024691713,0.0009725179,0.00003622822,0.00010986341,0.0005022928],"genre_scores_gemma":[0.4069055,0.0000010407565,0.592763,0.000011576794,0.000051947056,0.00017280488,0.000012849467,0.000041570864,0.00003970874],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997732,0.0002264441,0.000948563,0.0003601232,0.0003724481,0.00036045906],"domain_scores_gemma":[0.99042153,0.0076644965,0.0005828013,0.0007012487,0.00045239212,0.00017753801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011916702,0.0002944569,0.00072486256,0.00010369687,0.00019540326,0.000071259,0.0003492418,0.00015795382,0.0003781774],"category_scores_gemma":[0.006334199,0.00022062543,0.0002239966,0.0005188344,0.00018101197,0.00015785462,0.000082258106,0.00031075042,0.000004897862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000112186644,0.0027411,0.0001229184,0.00087740493,0.000221602,5.9743223e-7,0.0014969609,0.000015795067,0.10958189,0.8321445,0.000099227065,0.05258583],"study_design_scores_gemma":[0.0012659935,0.00068305637,0.00016100275,0.00009797088,0.0006457214,0.0000146834755,0.00049221236,0.2577724,0.074756026,0.6628889,0.0006399514,0.00058210274],"about_ca_topic_score_codex":0.000017964992,"about_ca_topic_score_gemma":0.00001728931,"teacher_disagreement_score":0.33078536,"about_ca_system_score_codex":0.000039831702,"about_ca_system_score_gemma":0.00010283485,"threshold_uncertainty_score":0.89968437},"labels":[],"label_agreement":null},{"id":"W2012319117","doi":"10.1093/imanum/drn037","title":"Discontinuous Galerkin approximations for Volterra integral equations of the first kind","year":2008,"lang":"en","type":"article","venue":"IMA Journal of Numerical Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Applied mathematics","score_opus":0.09218997545003313,"score_gpt":0.35158406954851573,"score_spread":0.2593940940984826,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012319117","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06830005,0.000052609255,0.9293875,0.0017840634,0.00011233758,0.00014820757,0.000031224197,0.00000718051,0.00017679442],"genre_scores_gemma":[0.87894213,0.000008745873,0.12058665,0.00005651496,0.00009805046,0.000013927246,0.0000035418336,0.000013443362,0.0002769702],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9980572,0.00015791721,0.0010315279,0.0001313807,0.00043411547,0.00018788512],"domain_scores_gemma":[0.9967105,0.0013756726,0.0010331405,0.00030567113,0.00048074772,0.00009428493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044922758,0.00014811348,0.0007035043,0.00029935653,0.00024992516,0.000025786885,0.00041164714,0.000058051144,0.00022564108],"category_scores_gemma":[0.002424906,0.000086734035,0.001331644,0.0015997492,0.00017513933,0.00014122706,0.000053285614,0.00020548752,0.000001594015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0019066049,0.030022012,0.11993329,0.0012991776,0.060925122,0.000063751984,0.031609043,0.029354421,0.010530198,0.3977165,0.052080654,0.26455924],"study_design_scores_gemma":[0.0049425997,0.0016591237,0.08378871,0.0003142019,0.023441823,0.00019863153,0.0024125057,0.5330882,0.004486783,0.32682693,0.017443331,0.0013971671],"about_ca_topic_score_codex":0.000047142577,"about_ca_topic_score_gemma":0.000018873621,"teacher_disagreement_score":0.8106421,"about_ca_system_score_codex":0.00004710583,"about_ca_system_score_gemma":0.000060359267,"threshold_uncertainty_score":0.35369113},"labels":[],"label_agreement":null},{"id":"W2014617375","doi":"10.1007/s11425-014-4805-3","title":"An h-p Petrov-Galerkin finite element method for linear Volterra integro-differential equations","year":2014,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Finite element method; A priori and a posteriori; Galerkin method; Partition (number theory); Norm (philosophy); Applied mathematics; Mathematical analysis; Volterra integral equation; Numerical analysis; Integral equation; Combinatorics","score_opus":0.07564991365431896,"score_gpt":0.419912413956462,"score_spread":0.34426250030214306,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2014617375","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015690774,0.000003795784,0.9810518,0.00021399342,0.00052758213,0.0006981534,0.00003042615,0.00017426093,0.0016092294],"genre_scores_gemma":[0.2960601,0.0000013703444,0.70316553,0.000050445833,0.00021628746,0.00012260626,0.000014673281,0.000039332775,0.00032969294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9969036,0.00022463841,0.00080754294,0.0005961652,0.0008241808,0.00064389355],"domain_scores_gemma":[0.9955424,0.0024326248,0.000409212,0.0010014365,0.0003116489,0.00030267044],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.004016168,0.00033437763,0.0005432401,0.00034303608,0.0006429223,0.00027280697,0.0010239675,0.000096094365,0.00032791446],"category_scores_gemma":[0.007950167,0.00026063673,0.00021012746,0.00072817545,0.00031063912,0.0004231827,0.00015755133,0.00023210501,0.000032120333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000116285355,0.0010001827,0.000008346752,0.00023554864,0.000025807505,2.2631085e-7,0.002669345,0.00026449157,0.018550828,0.9452842,0.00012375119,0.03182567],"study_design_scores_gemma":[0.000293401,0.0002899868,0.000045202778,0.000045663273,0.00006766519,0.0000014224298,0.00020066259,0.60330415,0.0053288033,0.38991088,0.00030589182,0.00020628139],"about_ca_topic_score_codex":0.000014864942,"about_ca_topic_score_gemma":0.000011119085,"teacher_disagreement_score":0.6030397,"about_ca_system_score_codex":0.00009782449,"about_ca_system_score_gemma":0.00012484353,"threshold_uncertainty_score":0.99998456},"labels":[],"label_agreement":null},{"id":"W2018802571","doi":"10.5539/jmr.v3n3p135","title":"A High-order Implicit Difference Method for the One-dimensional Convection Diffusion Equation","year":2011,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Convection–diffusion equation; Exponent; Diffusion; Order (exchange); Convection; Scheme (mathematics); Mathematical analysis; Numerical solution of the convection–diffusion equation; Fourier transform; Diffusion equation; Mechanics; Thermodynamics; Physics","score_opus":0.4154838555399527,"score_gpt":0.48841091318926644,"score_spread":0.07292705764931373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2018802571","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0807517,0.000055904984,0.91752607,0.00054996775,0.0002927092,0.00058586564,0.0000051935212,0.000014199069,0.0002183705],"genre_scores_gemma":[0.11693953,0.0000450533,0.8820954,0.000028289185,0.00022850074,0.000065641085,0.0000012662509,0.000036698537,0.00055961084],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966903,0.00061509805,0.0009148778,0.00016996023,0.0012492364,0.0003605371],"domain_scores_gemma":[0.9853851,0.011600933,0.00060402526,0.00037614972,0.0019036675,0.00013013186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008500584,0.000158553,0.00045785104,0.0003145001,0.00038655667,0.00008056265,0.00047170641,0.00012648721,0.00036913942],"category_scores_gemma":[0.0063847937,0.00009326059,0.0002040755,0.0004684947,0.00010980179,0.00012033272,0.000140216,0.00057479006,0.000011638659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038662288,0.003577434,0.00003254934,0.00054157345,0.00046478584,0.0000041879293,0.004996022,0.000043779648,0.086959146,0.81349957,0.0013480666,0.08814627],"study_design_scores_gemma":[0.000797621,0.00065756094,0.0006188391,0.00016325964,0.00014723577,0.0000317118,0.0006915125,0.06000826,0.01196376,0.9246696,0.0001269062,0.00012369055],"about_ca_topic_score_codex":0.00007393499,"about_ca_topic_score_gemma":0.000011293799,"teacher_disagreement_score":0.111170076,"about_ca_system_score_codex":0.00009591226,"about_ca_system_score_gemma":0.00013164924,"threshold_uncertainty_score":0.76436555},"labels":[],"label_agreement":null},{"id":"W2023808924","doi":"10.1007/s11464-009-0009-5","title":"Numerical analysis for functional differential and integral equations","year":2009,"lang":"en","type":"article","venue":"Frontiers of Mathematics in China","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Mathematical analysis; Integral equation; Differential equation; Numerical analysis; Applied mathematics","score_opus":0.05485014196435459,"score_gpt":0.33936890161903527,"score_spread":0.28451875965468065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2023808924","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10160395,0.00005668602,0.89721704,0.0002860517,0.00014704121,0.00026449058,0.000019282841,0.000025076897,0.00038037996],"genre_scores_gemma":[0.5885396,0.000005321946,0.41128153,0.0000089405,0.000027965954,0.00001892081,0.00001460277,0.000008201025,0.00009489468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872303,0.000060738468,0.0005671583,0.00020979693,0.00024384902,0.00019541747],"domain_scores_gemma":[0.99873173,0.00067613,0.0002261947,0.00023466906,0.00006250586,0.00006877149],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038826518,0.00016483605,0.0006059517,0.00037715744,0.00006590483,0.000027304024,0.00013384348,0.00009044557,0.000050353803],"category_scores_gemma":[0.0012855985,0.00013775303,0.00023751243,0.00050614675,0.00006479545,0.000077370336,0.00002167039,0.00012931666,4.589254e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012547697,0.002730663,0.004353606,0.00022289925,0.000800264,8.982641e-7,0.0021922057,0.00038342192,0.00042665025,0.96027833,0.0024348511,0.026050743],"study_design_scores_gemma":[0.00057468226,0.00014625973,0.017804837,0.000023659173,0.00045485282,6.789731e-7,0.00021040763,0.18894783,0.00020213876,0.79145217,0.000024589488,0.00015789257],"about_ca_topic_score_codex":0.000008904528,"about_ca_topic_score_gemma":0.000005429499,"teacher_disagreement_score":0.48693568,"about_ca_system_score_codex":0.000034432804,"about_ca_system_score_gemma":0.000018532548,"threshold_uncertainty_score":0.5617406},"labels":[],"label_agreement":null},{"id":"W2024557649","doi":"10.1007/s00526-015-0838-x","title":"Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications","year":2015,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Eigenvalues and eigenvectors; Mathematics; Advection; Diffusion; Infinity; Lambda; Mathematical physics; Mathematical analysis; Combinatorics; Physics; Quantum mechanics","score_opus":0.04308303023786352,"score_gpt":0.30925253924263235,"score_spread":0.2661695090047688,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2024557649","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22854087,0.00006676847,0.77008086,0.00012688652,0.00004602548,0.0008618303,0.000032623604,0.000017497325,0.00022664758],"genre_scores_gemma":[0.99295616,0.000026871941,0.0065178145,0.000008493396,0.00005343423,0.00034555086,0.00001656153,0.000016951832,0.000058160753],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99846554,0.00027608272,0.0005369471,0.00022321964,0.00034334333,0.00015484904],"domain_scores_gemma":[0.99756765,0.0012977803,0.00042976372,0.00028019014,0.00029824392,0.00012636762],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029308422,0.00017239591,0.00037703235,0.0001400049,0.00020488937,0.000026363085,0.00011150449,0.00008968772,0.000028221866],"category_scores_gemma":[0.00058603403,0.000113180904,0.0000759441,0.00038412385,0.00027123664,0.00007767173,0.000069842245,0.00011859136,0.0000010069093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000090903806,0.00073230156,0.00009513807,0.00017356714,0.000087484455,1.1110556e-7,0.0014448795,0.00008492205,0.008136685,0.98445934,0.000009860568,0.0046848],"study_design_scores_gemma":[0.010995126,0.006150998,0.04719606,0.0011537249,0.004345704,0.000015860032,0.0017378279,0.6382662,0.09943042,0.18800738,0.0012077513,0.0014929607],"about_ca_topic_score_codex":0.00013720372,"about_ca_topic_score_gemma":0.000019464642,"teacher_disagreement_score":0.796452,"about_ca_system_score_codex":0.000017360177,"about_ca_system_score_gemma":0.00009583173,"threshold_uncertainty_score":0.46153834},"labels":[],"label_agreement":null},{"id":"W2027162300","doi":"10.1023/b:jota.0000042529.80440.04","title":"On Two-Point Boundary Conditions in Optimal Control Problems","year":2004,"lang":"en","type":"article","venue":"Journal of Optimization Theory and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Differentiable function; Boundary (topology); Combinatorics; Piecewise; Mathematical analysis; Boundary value problem","score_opus":0.019300351015327354,"score_gpt":0.3326374704938885,"score_spread":0.31333711947856113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2027162300","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012405845,0.00006745681,0.985658,0.0005294891,0.000038667917,0.00035154377,0.000012403275,0.00001514962,0.0009214609],"genre_scores_gemma":[0.8394849,0.00007005722,0.15995751,0.00021919078,0.00008759031,0.00009952079,0.000007451744,0.000017414195,0.000056371875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989669,0.00018888309,0.00049535127,0.00010775809,0.00013272256,0.00010842671],"domain_scores_gemma":[0.9984847,0.0008338569,0.00033167857,0.00012784397,0.00013873985,0.000083190505],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095836836,0.00009985644,0.00021648547,0.00018601402,0.00015111658,0.000052269872,0.000097357326,0.000046573896,0.00013653457],"category_scores_gemma":[0.0003280535,0.000082438906,0.00006576664,0.00024938094,0.00010033456,0.0001769223,0.000011271749,0.00018526662,0.000003313229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000050085015,0.0003066294,0.000007131769,0.000009335582,0.00001829693,8.160475e-7,0.000093890005,0.3633973,0.00010687892,0.63495266,0.000015440255,0.0010415633],"study_design_scores_gemma":[0.002170002,0.00017272569,0.000070032685,0.0000775965,0.000059872593,0.000033027158,0.00013557042,0.0043072584,0.0001455158,0.99251944,0.00020679788,0.00010213978],"about_ca_topic_score_codex":0.0000010439777,"about_ca_topic_score_gemma":7.959035e-7,"teacher_disagreement_score":0.82707906,"about_ca_system_score_codex":0.000049354396,"about_ca_system_score_gemma":0.000060909595,"threshold_uncertainty_score":0.3361761},"labels":[],"label_agreement":null},{"id":"W2029447039","doi":"10.4171/ifb/175","title":"A two-dimensional metastable flame-front and a degenerate spike-layer problem","year":2007,"lang":"en","type":"article","venue":"Interfaces and Free Boundaries Mathematical Analysis Computation and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Chinese University of Hong Kong; Killam Trusts","keywords":"Paraboloid; Mathematical analysis; Curvature; Ode; Eigenvalues and eigenvectors; Metastability; Mathematics; Asymptotic expansion; Asymptotic analysis; Physics; Mechanics; Geometry; Surface (topology)","score_opus":0.04260745995826456,"score_gpt":0.3483908752270541,"score_spread":0.30578341526878955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2029447039","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13293503,0.0003313525,0.86462766,0.00046902904,0.000013418343,0.00034124078,0.000021625518,0.000059178637,0.001201486],"genre_scores_gemma":[0.585774,0.000009804859,0.41360092,0.00007218645,0.00003107141,0.00006793209,0.000016181333,0.000013237825,0.00041469492],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984816,0.00006907569,0.00059654546,0.00038200952,0.00023692109,0.00023388986],"domain_scores_gemma":[0.9985044,0.00073581765,0.00019325799,0.00022068148,0.00015486275,0.00019097091],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007132251,0.00021494184,0.0004928955,0.00020121507,0.0005786627,0.000590278,0.000101579026,0.000061891595,0.0001359828],"category_scores_gemma":[0.00009054559,0.00016702524,0.00008377557,0.00040815596,0.00050856476,0.00013206762,0.00018069976,0.00012583261,0.000008031927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038864917,0.00032495608,0.00015278911,0.00017968322,0.0008336342,0.0000012889143,0.0010408438,0.0003095151,0.0012189792,0.9446178,0.00022284493,0.051058784],"study_design_scores_gemma":[0.0004602898,0.00006321172,0.0002229091,0.00002512164,0.0010486649,0.000013207139,0.0003992609,0.10399231,0.0006056446,0.8913991,0.0015267391,0.00024353975],"about_ca_topic_score_codex":0.00006664812,"about_ca_topic_score_gemma":0.00022717284,"teacher_disagreement_score":0.45283896,"about_ca_system_score_codex":0.00001818891,"about_ca_system_score_gemma":0.000024344174,"threshold_uncertainty_score":0.68110913},"labels":[],"label_agreement":null},{"id":"W2032968490","doi":"10.1002/num.20355","title":"Numerical analysis to discontinuous Galerkin methods for the age structured population model of marine invertebrates","year":2008,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Nonlinear system; Sobolev space; Galerkin method; Applied mathematics; Discontinuous Galerkin method; Computation; Partial differential equation; Simple (philosophy); Population; Polygon mesh; Population model; Finite element method; Mathematical analysis; Algorithm; Geometry","score_opus":0.1536267270400993,"score_gpt":0.44818046727762045,"score_spread":0.2945537402375211,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032968490","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.005213616,0.00003963805,0.99083906,0.00047239615,0.00061763986,0.0024186382,0.00020733154,0.00013911538,0.000052551874],"genre_scores_gemma":[0.33726424,0.0000060548655,0.660396,0.000092097835,0.0001818111,0.0015369958,0.00021008946,0.000069324095,0.00024339088],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9945606,0.0016590181,0.0017267893,0.00083322334,0.00046273132,0.0007576486],"domain_scores_gemma":[0.98531264,0.012280257,0.00068251544,0.00094491214,0.00044010027,0.0003395685],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015188372,0.00056641764,0.0017028132,0.00046101498,0.0007741207,0.000094854,0.00067561,0.00026752998,0.00041569385],"category_scores_gemma":[0.011060154,0.00041032818,0.0014481543,0.001972017,0.00020916606,0.00017290654,0.00022097849,0.00029995138,0.000002720943],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012371205,0.0015555526,0.00056068646,0.00018229321,0.0040719495,7.403381e-7,0.0014817123,0.03487005,0.04646097,0.22475217,0.0005134025,0.68431336],"study_design_scores_gemma":[0.00076128525,0.00031761345,0.002911691,0.000008685652,0.0026935765,0.0000010940499,0.000029173407,0.81247914,0.008596815,0.17143117,0.00033483157,0.00043491268],"about_ca_topic_score_codex":0.0004116354,"about_ca_topic_score_gemma":0.000041631207,"teacher_disagreement_score":0.7776091,"about_ca_system_score_codex":0.00009817734,"about_ca_system_score_gemma":0.000084513376,"threshold_uncertainty_score":0.99983484},"labels":[],"label_agreement":null},{"id":"W2033139498","doi":"10.1002/num.21726","title":"A high‐order ADI finite difference scheme for a 3D reaction‐diffusion equation with neumann boundary condition","year":2012,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Compact finite difference; Neumann boundary condition; Alternating direction implicit method; Richardson extrapolation; Boundary value problem; Partial differential equation; Mathematical analysis; Von Neumann stability analysis; Boundary (topology); Extrapolation; Reaction–diffusion system; Von Neumann architecture; Finite difference method; Pure mathematics","score_opus":0.11555830389397465,"score_gpt":0.4229341497908595,"score_spread":0.3073758458968849,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033139498","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015710648,0.000081321305,0.9785149,0.0004132418,0.0018579424,0.0027529025,0.00022058435,0.00035464045,0.00009382661],"genre_scores_gemma":[0.27275375,0.000009298217,0.7217259,0.00012085759,0.0008908903,0.0030700632,0.00081339275,0.00012556813,0.0004902851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9949663,0.0011315291,0.0012555434,0.0008204221,0.00061584724,0.0012103023],"domain_scores_gemma":[0.98672754,0.010458845,0.00080793776,0.0007162826,0.00073040114,0.0005590149],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013109342,0.00068919506,0.0010749297,0.0003325813,0.0011505826,0.00023281436,0.00034437887,0.00038784975,0.00047669766],"category_scores_gemma":[0.008072048,0.0005726726,0.00045115154,0.0008677856,0.00024879194,0.00062686525,0.000113928174,0.0004356262,0.000029686566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013844885,0.0043185307,0.0001744827,0.00037312598,0.0006300605,5.04596e-7,0.0010360398,0.00015197038,0.11254858,0.5389765,0.00033871588,0.34006703],"study_design_scores_gemma":[0.0069575026,0.002762936,0.004132333,0.00022893747,0.00211736,0.000009296994,0.00020545094,0.65422636,0.01394751,0.2951863,0.018161109,0.0020648548],"about_ca_topic_score_codex":0.000085708496,"about_ca_topic_score_gemma":0.000010849906,"teacher_disagreement_score":0.65407443,"about_ca_system_score_codex":0.00020521782,"about_ca_system_score_gemma":0.00016239115,"threshold_uncertainty_score":0.9996725},"labels":[],"label_agreement":null},{"id":"W2033424684","doi":"10.1088/1757-899x/78/1/012031","title":"Some advantages of implementing an adaptive moving mesh for the solution to the Burgers equation","year":2015,"lang":"en","type":"article","venue":"IOP Conference Series Materials Science and Engineering","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Simon Fraser University; Curtin University of Technology; Curtin University, Malaysia","keywords":"Burgers' equation; Finite difference method; Finite difference; Computation; Adaptive mesh refinement; Computer science; Applied mathematics; Mathematics; Finite element method; Finite difference coefficient; Partial differential equation; Mathematical optimization; Algorithm; Mathematical analysis; Computational science; Mixed finite element method; Engineering","score_opus":0.1283103207811185,"score_gpt":0.3511881731212001,"score_spread":0.2228778523400816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2033424684","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5331662,0.000023027818,0.4655952,0.00042627793,0.00039072856,0.0003346465,0.000016284357,0.000029014054,0.00001861898],"genre_scores_gemma":[0.9473912,0.000013921015,0.05236278,0.000018833405,0.000110950015,0.00007619128,0.0000016924045,0.000008067499,0.000016346674],"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9990413,0.00003417816,0.0002436139,0.00016194748,0.00025976446,0.0002591691],"domain_scores_gemma":[0.99911207,0.00024033556,0.00010171056,0.00018025633,0.00028969263,0.00007593156],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025679998,0.00009915766,0.00015863657,0.00006500905,0.00025341334,0.00019162618,0.00023621696,0.000020546393,0.000008604494],"category_scores_gemma":[0.0014113691,0.00006072058,0.000015933347,0.00019823766,0.00011750649,0.0006929689,0.00011654705,0.0000306785,4.9838434e-7],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004150528,0.000011582143,0.0000029016726,0.00003925575,0.000008782166,7.8433274e-8,0.002070947,0.00045195443,0.7820187,0.20070094,0.000019673433,0.014633651],"study_design_scores_gemma":[0.0003197601,0.0005930719,0.00070779904,0.0001169653,0.00007152105,0.0000039526176,0.008879038,0.12048962,0.82323855,0.044494495,0.00076216314,0.00032303712],"about_ca_topic_score_codex":0.00006548727,"about_ca_topic_score_gemma":0.000009865898,"teacher_disagreement_score":0.414225,"about_ca_system_score_codex":0.000028416578,"about_ca_system_score_gemma":0.00007473547,"threshold_uncertainty_score":0.24761133},"labels":[],"label_agreement":null},{"id":"W2036139704","doi":"10.1088/1751-8121/42/4/040201","title":"Special issue on Symmetries and Integrability of Difference Equations","year":2008,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Subject (documents); Homogeneous space; Index (typography); Field (mathematics); Mathematics; Mathematics education; Library science; Computer science; Pure mathematics; World Wide Web; Geometry","score_opus":0.05513993198680306,"score_gpt":0.333523899016472,"score_spread":0.27838396702966894,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2036139704","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.75811607,0.000023974346,0.23510876,0.00060842413,0.00013147427,0.0001384487,0.000009325785,0.000008595644,0.0058549144],"genre_scores_gemma":[0.9609483,0.000038014226,0.037890263,0.000031672498,0.0010067031,0.0000021606172,2.8240078e-7,0.000011134154,0.00007148234],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99860024,0.00016858496,0.0006101475,0.000117725904,0.00036789823,0.00013537113],"domain_scores_gemma":[0.9946169,0.0045985086,0.0002515857,0.0001525117,0.00023316812,0.00014731367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056100276,0.00014360198,0.0005793951,0.000062954365,0.00007829529,0.000019863262,0.00011077015,0.00006519432,0.00035171656],"category_scores_gemma":[0.0049882964,0.00008949148,0.00012943929,0.00015775586,0.0012003792,0.00006123508,0.000061368184,0.0002582962,0.0000041054036],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007532005,0.0006935503,0.00003682771,0.0001079384,0.00003942344,0.000003127313,0.0006386546,1.5261666e-7,0.00012852496,0.9736273,0.00010136015,0.024547782],"study_design_scores_gemma":[0.00033091966,0.0005553257,0.00024126597,0.00013179396,0.00008368331,0.000035440746,0.000107754815,0.0009124342,0.0018464776,0.99561185,0.000051633175,0.0000914281],"about_ca_topic_score_codex":4.314982e-7,"about_ca_topic_score_gemma":5.717086e-8,"teacher_disagreement_score":0.2028322,"about_ca_system_score_codex":0.000011888915,"about_ca_system_score_gemma":0.000029292936,"threshold_uncertainty_score":0.59718174},"labels":[],"label_agreement":null},{"id":"W2038724217","doi":"10.1142/s0219530504000291","title":"THE STABILITY AND DYNAMICS OF HOT-SPOT SOLUTIONS TO TWO ONE-DIMENSIONAL MICROWAVE HEATING MODELS","year":2004,"lang":"en","type":"article","venue":"Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Eigenvalues and eigenvectors; Mathematics; Mathematical analysis; Operator (biology); Differential operator; Physics; Chemistry; Quantum mechanics","score_opus":0.07357039105067414,"score_gpt":0.3476667827216959,"score_spread":0.27409639167102173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038724217","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25638056,0.00006292956,0.7422928,0.000822263,0.000003075217,0.00019757636,0.00003431052,0.000010437795,0.00019606575],"genre_scores_gemma":[0.8454264,0.00002650951,0.15436691,0.000029259592,0.000011631664,0.00009545795,0.000015082173,0.000005137072,0.000023626008],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99919915,0.000049478745,0.00030210917,0.00019660515,0.00012338084,0.0001293024],"domain_scores_gemma":[0.9988791,0.00051722955,0.00009682664,0.00029916866,0.00012706958,0.00008061344],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041340102,0.00007896941,0.00021370038,0.00007291195,0.00042287918,0.000035765985,0.000075947864,0.000026314614,0.000008283115],"category_scores_gemma":[0.0000703234,0.000059412927,0.00008778736,0.0006537115,0.000110775385,0.000040056213,0.000080734455,0.00006174031,7.762857e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006260598,0.00020988494,0.00018295215,0.000011471965,0.0002468706,2.1149509e-8,0.00016494829,0.0022040098,0.0035916986,0.9615709,0.0000030809906,0.031807892],"study_design_scores_gemma":[0.00014892059,0.000022036766,0.0012530569,0.000007642581,0.00063670706,4.3735673e-7,0.00016656338,0.078597955,0.0011729753,0.91787505,0.000026518112,0.00009216229],"about_ca_topic_score_codex":0.00032745575,"about_ca_topic_score_gemma":0.0012854512,"teacher_disagreement_score":0.5890458,"about_ca_system_score_codex":0.000030294674,"about_ca_system_score_gemma":0.00002243672,"threshold_uncertainty_score":0.32524875},"labels":[],"label_agreement":null},{"id":"W2040230236","doi":"10.1063/1.4912370","title":"The convergence of the h-p version of the finite element method with quasi-uniform meshes in three dimensions","year":2015,"lang":"en","type":"article","venue":"AIP conference proceedings","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; University of Manitoba","keywords":"Polygon mesh; Finite element method; Hexahedron; Convergence (economics); Volume mesh; Mathematics; Tetrahedron; Boundary (topology); Mathematical analysis; Applied mathematics; Geometry; Mesh generation; Structural engineering; Engineering","score_opus":0.0766860217492714,"score_gpt":0.3330784901782373,"score_spread":0.2563924684289659,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2040230236","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7704627,0.00005614076,0.22095314,0.002806959,0.00030146333,0.0010555271,0.000012608989,0.000028161814,0.004323337],"genre_scores_gemma":[0.97211653,0.000020188865,0.027643116,0.00004126241,0.00000879838,0.000033349475,2.8028379e-7,0.000009893032,0.00012660149],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986918,0.00007209455,0.00038722655,0.00016368595,0.00048809458,0.00019710389],"domain_scores_gemma":[0.99799496,0.0007429888,0.00039612892,0.0002757015,0.00053739105,0.000052838506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012190015,0.00013621851,0.00024462971,0.000033794946,0.00014020935,0.00002491456,0.0005771065,0.000053343647,0.000025424251],"category_scores_gemma":[0.0014651924,0.00005697208,0.000072472816,0.0004910124,0.0002419676,0.00010189354,0.00026218226,0.00019301621,0.0000015875864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021287549,0.00041278798,0.100732036,0.0001613081,0.00009164435,2.1734941e-7,0.0072575086,0.000017396264,0.0072813295,0.87665915,0.00048297658,0.0066907965],"study_design_scores_gemma":[0.00145502,0.0007740489,0.022258516,0.00079752505,0.00022869978,0.000003144168,0.012316266,0.072093986,0.04209242,0.8460414,0.0015921333,0.00034684464],"about_ca_topic_score_codex":0.00017948762,"about_ca_topic_score_gemma":0.0002283316,"teacher_disagreement_score":0.20165384,"about_ca_system_score_codex":0.00003789419,"about_ca_system_score_gemma":0.00016848189,"threshold_uncertainty_score":0.23232539},"labels":[],"label_agreement":null},{"id":"W2041070367","doi":"10.2478/cmam-2012-0019","title":"A Local Projection Stabilization Method with Shock Capturing and Diagonal Mass Matrix for Solving Non-stationary Transport Dominated Problems","year":2012,"lang":"en","type":"article","venue":"Computational Methods in Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"Deutsche Forschungsgemeinschaft","keywords":"Discretization; Basis function; Mathematics; Shock (circulatory); Matrix (chemical analysis); Projection (relational algebra); Convection–diffusion equation; Mathematical analysis; Applied mathematics; Diagonal matrix; Galerkin method; Mass matrix; Basis (linear algebra); Scaling; Time derivative; Diagonal; Finite element method; Algorithm; Physics; Geometry","score_opus":0.057020706894556725,"score_gpt":0.402553857065659,"score_spread":0.34553315017110225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041070367","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009612481,0.000053459902,0.98758435,0.00004695918,0.0001031231,0.002051302,0.000021327049,0.000098494354,0.00042849232],"genre_scores_gemma":[0.113597654,0.0000046485106,0.88528705,0.000019115472,0.000052053732,0.00085911975,0.0000682764,0.00007586138,0.000036251804],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9977116,0.00017308531,0.0008805603,0.00039900193,0.0003999036,0.00043584328],"domain_scores_gemma":[0.9934661,0.0056285677,0.00039714953,0.00018220903,0.00018954126,0.00013642803],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0033309448,0.00034069733,0.00060083857,0.00030807167,0.00018101562,0.00004521698,0.00012552556,0.00016453814,0.000024238907],"category_scores_gemma":[0.00034108298,0.0002936783,0.000077792734,0.0005289266,0.000111716065,0.00021069597,0.000037311514,0.00023344083,0.0000012571701],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003528773,0.0018496633,0.00054517126,0.005431903,0.0002752507,0.0000018398111,0.015752038,0.09109154,0.014567794,0.7189497,0.00002674978,0.15115546],"study_design_scores_gemma":[0.0010525155,0.000070183065,0.0005756156,0.00012835863,0.00012254503,0.00001589466,0.0011273877,0.51563793,0.0017916539,0.4791598,0.00003193296,0.00028620762],"about_ca_topic_score_codex":0.0000057550465,"about_ca_topic_score_gemma":0.000004531594,"teacher_disagreement_score":0.42454636,"about_ca_system_score_codex":0.00015258971,"about_ca_system_score_gemma":0.00008863188,"threshold_uncertainty_score":0.99995154},"labels":[],"label_agreement":null},{"id":"W2041479713","doi":"10.3934/cpaa.2006.5.261","title":"The numerical solution of weakly singular Volterra functional integro-differential equations with variable delays","year":2006,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Collocation (remote sensing); Variable (mathematics); Nonlinear system; Collocation method; Convergence (economics); Differential equation; Sequence (biology); Applied mathematics; Mathematical analysis; Volterra integral equation; Singular solution; Initial value problem; Order (exchange); Ordinary differential equation; Integral equation; Computer science; Physics","score_opus":0.05754463687462005,"score_gpt":0.31323875757536934,"score_spread":0.25569412070074926,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2041479713","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0037079789,0.000096662654,0.9868931,0.0007186312,0.00004113046,0.00028379218,0.000030815594,0.00008969063,0.008138181],"genre_scores_gemma":[0.8369952,0.000016283384,0.16146776,0.000025919862,0.00005508299,0.00020246478,0.0005411008,0.00002722862,0.00066897075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977586,0.00035163993,0.0007543559,0.00031435548,0.0005349993,0.0002860027],"domain_scores_gemma":[0.99431735,0.0024287938,0.0004983196,0.002329441,0.00035220917,0.00007385487],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058482407,0.00025269482,0.00048829365,0.00033255393,0.0010299407,0.00011425066,0.0007727376,0.0001273454,0.00028623847],"category_scores_gemma":[0.0002850272,0.00017403332,0.00029026868,0.0022959125,0.000353706,0.00006836872,0.00019469098,0.00039305637,0.000024338184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000092237846,0.001006132,0.00009156994,0.000009877892,0.0009947411,6.288064e-8,0.000088830304,0.0028473781,0.0030974578,0.9857572,0.0008588009,0.005155721],"study_design_scores_gemma":[0.0014263967,0.00024086682,0.004359024,0.00006718342,0.009121527,0.0000035128019,0.00049261824,0.38720444,0.0010098898,0.57216316,0.022893596,0.0010178034],"about_ca_topic_score_codex":0.00021318076,"about_ca_topic_score_gemma":0.00034459925,"teacher_disagreement_score":0.83328724,"about_ca_system_score_codex":0.000107795066,"about_ca_system_score_gemma":0.0000805205,"threshold_uncertainty_score":0.79215753},"labels":[],"label_agreement":null},{"id":"W2046754874","doi":"10.1017/s0956792511000015","title":"Instability thresholds in the microwave heating model with exponential non-linearity","year":2011,"lang":"en","type":"article","venue":"European Journal of Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; National Taiwan University","keywords":"Eigenvalues and eigenvectors; Hot spot (computer programming); Instability; Physics; Conductivity; Exponential function; Mathematical analysis; Materials science; Mechanics; Mathematics; Quantum mechanics","score_opus":0.13306660428937636,"score_gpt":0.30758359090114346,"score_spread":0.1745169866117671,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046754874","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47314155,0.000004276315,0.49076346,0.00001967357,0.000033382992,0.00017522446,0.0000011588254,0.000009157585,0.035852134],"genre_scores_gemma":[0.5209698,0.000002785249,0.4789154,0.00003412594,0.00004384959,0.0000023731382,3.04376e-7,0.000024086128,0.0000072768935],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99803215,0.00018653303,0.0009768335,0.00014693629,0.00042193354,0.00023559456],"domain_scores_gemma":[0.9983657,0.00036782786,0.0006493974,0.00041639537,0.000122005906,0.00007868497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003993132,0.0002046469,0.00042263814,0.000099318655,0.00008906785,0.000054410048,0.0005248523,0.000033198725,0.00003635613],"category_scores_gemma":[0.00019257654,0.00011813324,0.000114905255,0.00023462878,0.000115664276,0.00009982962,0.00008289973,0.0004885554,0.000007657994],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0017825675,0.0144274095,0.00032828152,0.0017408578,0.00054791954,0.0006435729,0.3158115,0.0016698298,0.03571797,0.5815713,0.00094485463,0.044813905],"study_design_scores_gemma":[0.003586455,0.00086616847,0.0014671894,0.00047889477,0.00038576257,0.00024375472,0.011041002,0.038766675,0.010106809,0.93236345,0.000055156866,0.0006386929],"about_ca_topic_score_codex":0.0000021945582,"about_ca_topic_score_gemma":0.0000045946176,"teacher_disagreement_score":0.35079214,"about_ca_system_score_codex":0.000027999122,"about_ca_system_score_gemma":0.000049250877,"threshold_uncertainty_score":0.48173338},"labels":[],"label_agreement":null},{"id":"W2055683254","doi":"10.1155/s1048953301000132","title":"A monotone iterative method for boundary value problems of parametric differential equations","year":2000,"lang":"en","type":"article","venue":"International Journal of Stochastic Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Monotone polygon; Parametric statistics; Boundary value problem; Mathematical analysis; Value (mathematics); Applied mathematics; Differential equation; Boundary values; Geometry; Statistics","score_opus":0.04928066770694107,"score_gpt":0.399158126530234,"score_spread":0.34987745882329296,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2055683254","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.026633458,0.000084378895,0.9724428,0.0002197017,0.0001573246,0.00020773079,0.000114758026,0.000008654355,0.00013116049],"genre_scores_gemma":[0.7361676,0.000010085442,0.263206,0.00002236939,0.00019216131,0.000023160881,0.000024979923,0.000013768128,0.00033984822],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9975218,0.00020555484,0.001183891,0.00017667243,0.00075234886,0.00015971257],"domain_scores_gemma":[0.99460506,0.0030510079,0.0009398246,0.00016005035,0.0011444669,0.000099613804],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007286003,0.00016810931,0.00069212844,0.00111288,0.00007340953,0.000078041936,0.00041724663,0.00007109806,0.0012680457],"category_scores_gemma":[0.0017599142,0.00013485839,0.00083111296,0.0009909681,0.00007500722,0.0001792931,0.000029963016,0.00016262151,0.0000026759024],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0022626936,0.005531544,0.0002435495,0.0001553921,0.0538296,0.000016290192,0.005116318,0.3275403,0.006885505,0.31069088,0.0007656147,0.2869623],"study_design_scores_gemma":[0.0014893505,0.00043451771,0.00043033864,0.00009372008,0.005127917,0.000012740135,0.00011862492,0.6591562,0.0005197923,0.33220288,0.00019803134,0.00021590717],"about_ca_topic_score_codex":0.00004673644,"about_ca_topic_score_gemma":0.0000068620902,"teacher_disagreement_score":0.70953417,"about_ca_system_score_codex":0.00008725701,"about_ca_system_score_gemma":0.0000854443,"threshold_uncertainty_score":0.99964494},"labels":[],"label_agreement":null},{"id":"W2057743217","doi":"10.1007/s11464-009-0010-z","title":"Spectral methods for pantograph-type differential and integral equations with multiple delays","year":2009,"lang":"en","type":"article","venue":"Frontiers of Mathematics in China","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":85,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Pantograph; Convergence (economics); Mathematical analysis; Differential equation; Integral equation; Exponential function; Type (biology); Spectral method; Delay differential equation; Applied mathematics","score_opus":0.04616602827859546,"score_gpt":0.3734136364587981,"score_spread":0.32724760818020265,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057743217","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16568662,0.0001299391,0.8330115,0.00013464215,0.00016265489,0.0005352918,0.00001242686,0.000036439185,0.00029048798],"genre_scores_gemma":[0.37147537,0.000020236748,0.628386,0.000006646964,0.000022514072,0.00001875955,0.0000070599663,0.000017969156,0.000045444136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985939,0.00012904023,0.0005573397,0.00024877378,0.00018262673,0.0002882998],"domain_scores_gemma":[0.9980422,0.0012100845,0.00026792707,0.0003079956,0.00008652914,0.00008520922],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00068247475,0.00023421724,0.00062923064,0.00026019636,0.00008081924,0.000036359183,0.00020240618,0.0001078258,0.000015902166],"category_scores_gemma":[0.0017234851,0.00017532385,0.0001206024,0.00033989348,0.0001257314,0.00010155208,0.000029503994,0.00018918602,2.4240597e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00057713286,0.0038304299,0.0039448845,0.00070585555,0.000400297,0.0000027697795,0.008503129,0.000060650447,0.006229788,0.7894941,0.0012635352,0.18498744],"study_design_scores_gemma":[0.0012480525,0.0007015286,0.0031600082,0.00011476084,0.00017185997,0.0000035687517,0.00062442635,0.10381215,0.0021144564,0.8877397,0.000048464663,0.0002610068],"about_ca_topic_score_codex":0.000015716747,"about_ca_topic_score_gemma":0.000024582625,"teacher_disagreement_score":0.20578875,"about_ca_system_score_codex":0.000028669927,"about_ca_system_score_gemma":0.000027214868,"threshold_uncertainty_score":0.7149499},"labels":[],"label_agreement":null},{"id":"W2059066357","doi":"10.1007/s10884-010-9162-5","title":"Global Continua of Rapidly Oscillating Periodic Solutions of State-Dependent Delay Differential Equations","year":2010,"lang":"en","type":"article","venue":"Journal of Dynamics and Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University; Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Mathematics; Ordinary differential equation; Delay differential equation; Partial differential equation; Mathematical analysis; State (computer science); State dependent; Differential equation; Applied mathematics; Mathematical economics","score_opus":0.030925431265842396,"score_gpt":0.32117228095891687,"score_spread":0.29024684969307446,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059066357","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45964062,0.000044420227,0.5390488,0.000081526814,0.0006122281,0.00015674287,0.00023835251,0.000011523979,0.00016581448],"genre_scores_gemma":[0.9777297,0.000039103506,0.021878982,0.000006245252,0.00014782902,0.000007821835,0.00002984821,0.000027755808,0.00013272242],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99650866,0.0002583903,0.0018623677,0.00023908923,0.00076166255,0.00036982502],"domain_scores_gemma":[0.9951297,0.0014449815,0.0018586381,0.00035384303,0.0009547144,0.00025814353],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00064699305,0.00029896823,0.00086530583,0.00034611137,0.00031269225,0.0001087668,0.00033432894,0.00019072958,0.00035368456],"category_scores_gemma":[0.0023306732,0.00025359992,0.0004281638,0.00042315744,0.00034229294,0.00024780864,0.0001744654,0.00045339952,0.0000010612412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021751566,0.0021444315,0.00490062,0.00022733805,0.0006984815,0.000005176881,0.001161433,0.00043190678,0.060007446,0.88867754,0.000059562954,0.041468523],"study_design_scores_gemma":[0.005553599,0.0013105558,0.031644456,0.00033252357,0.0019574836,0.0000832117,0.001130043,0.5853477,0.0013350197,0.37037793,0.00003157965,0.0008959018],"about_ca_topic_score_codex":0.00012288248,"about_ca_topic_score_gemma":0.000933482,"teacher_disagreement_score":0.58491576,"about_ca_system_score_codex":0.000076404125,"about_ca_system_score_gemma":0.0002490593,"threshold_uncertainty_score":0.9999916},"labels":[],"label_agreement":null},{"id":"W2062022207","doi":"10.1216/jie-2012-24-3-359","title":"Discrete superconvergence of collocation solutions for first-kind Volterra integral equations","year":2012,"lang":"en","type":"article","venue":"Journal of Integral Equations and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Hong Kong Baptist University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Heilongjiang University","keywords":"Superconvergence; Mathematics; Volterra integral equation; Collocation method; Collocation (remote sensing); Integral equation; Mathematical analysis; Applied mathematics; Differential equation; Finite element method; Computer science; Physics","score_opus":0.11327393892396967,"score_gpt":0.3840794979856112,"score_spread":0.2708055590616415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2062022207","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012356116,0.00034747046,0.984635,0.0012728061,0.00023819614,0.00071634364,0.00012685859,0.000019366458,0.00028783685],"genre_scores_gemma":[0.8761399,0.00009643572,0.12282653,0.00003077892,0.00031166477,0.0003464074,0.000035092988,0.000022745144,0.00019047476],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979718,0.000105027306,0.0011292509,0.00015810221,0.00028871032,0.00034713864],"domain_scores_gemma":[0.9954217,0.002396543,0.00073596055,0.00029799805,0.0009269194,0.00022089973],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012150949,0.00019647564,0.0004178595,0.00031603954,0.00049106975,0.000048922506,0.00025763505,0.00011453591,0.00012901986],"category_scores_gemma":[0.0020787872,0.00015629035,0.0002851076,0.0005820499,0.00020120684,0.00056504225,0.000057085956,0.00023151709,0.0000051098896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025247184,0.00052769395,0.0002771918,0.000071969975,0.000100771096,3.943561e-8,0.00082616875,0.00007450686,0.0021230758,0.9746457,0.000576875,0.020750796],"study_design_scores_gemma":[0.002452544,0.0010711306,0.0033823256,0.0005086577,0.001733176,0.000050376686,0.008691153,0.0737567,0.0045674103,0.8743129,0.02850001,0.0009736449],"about_ca_topic_score_codex":0.000046389065,"about_ca_topic_score_gemma":0.000059634396,"teacher_disagreement_score":0.8637838,"about_ca_system_score_codex":0.000093526825,"about_ca_system_score_gemma":0.0001290945,"threshold_uncertainty_score":0.6373335},"labels":[],"label_agreement":null},{"id":"W2063833574","doi":"10.1016/j.apm.2014.09.028","title":"A note on compact finite difference method for reaction–diffusion equations with delay","year":2014,"lang":"en","type":"article","venue":"Applied Mathematical Modelling","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"National Natural Science Foundation of China","keywords":"Compact finite difference; Discretization; Finite difference; Finite difference method; Mathematics; Stability (learning theory); Diffusion; Reaction–diffusion system; Finite difference coefficient; Mathematical analysis; Reduction (mathematics); Exponential stability; Numerical stability; Applied mathematics; Numerical analysis; Finite element method; Physics; Computer science; Geometry; Mixed finite element method","score_opus":0.10444701518116456,"score_gpt":0.3683776286797095,"score_spread":0.26393061349854496,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063833574","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0038520216,0.000001838676,0.9848282,0.0002722906,0.000045208497,0.0009086656,0.000009589349,0.00018727833,0.009894906],"genre_scores_gemma":[0.38417077,0.0000014268077,0.6152173,0.00011104612,0.00007030666,0.00017095178,0.0000111580275,0.000049659993,0.00019736312],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9979911,0.00012650018,0.0005682345,0.00047005803,0.00043443314,0.00040968822],"domain_scores_gemma":[0.98357207,0.015339299,0.00024478053,0.00054747594,0.0001124011,0.00018398618],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097552844,0.00033209147,0.00061704434,0.00013291433,0.000309121,0.000079077356,0.00021605603,0.00014895733,0.000051657444],"category_scores_gemma":[0.00083723734,0.00023472855,0.00014275927,0.00023729399,0.000059173548,0.000053198306,0.000032516404,0.00027964712,0.00005320444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015141618,0.00045980935,2.313308e-7,0.00016402853,0.00003356336,2.1400277e-7,0.00032856443,0.01684993,0.0025155826,0.9585143,0.000018590354,0.02096381],"study_design_scores_gemma":[0.00040162282,0.00012580806,8.671509e-7,0.00008386842,0.00008977742,0.0000010109395,0.000020525005,0.50822806,0.00076194457,0.48997042,0.0001461782,0.00016992005],"about_ca_topic_score_codex":0.0000073593956,"about_ca_topic_score_gemma":0.0000023357752,"teacher_disagreement_score":0.49137813,"about_ca_system_score_codex":0.00005415296,"about_ca_system_score_gemma":0.000025252613,"threshold_uncertainty_score":0.9571953},"labels":[],"label_agreement":null},{"id":"W2063883395","doi":"10.1017/s0022112000003451","title":"On numerical stability analysis of double-diffusive convection in confined enclosures","year":2001,"lang":"en","type":"article","venue":"Journal of Fluid Mechanics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":76,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Polytechnique Montréal; National Research Council Canada","funders":"","keywords":"Mechanics; Galerkin method; Rayleigh number; Physics; Convection; Boundary value problem; Double diffusive convection; Prandtl number; Instability; Finite element method; Natural convection; Materials science; Thermodynamics","score_opus":0.08169139428482176,"score_gpt":0.36523440981888483,"score_spread":0.2835430155340631,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2063883395","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5975408,0.000022830409,0.40183464,0.00010804145,0.00019620445,0.00009006103,0.0000037029197,0.000005856804,0.00019785519],"genre_scores_gemma":[0.98945946,0.0000613152,0.0103681,0.000036552075,0.000039394577,0.0000029020898,0.0000015629722,0.000010521022,0.000020187596],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99801016,0.0002786903,0.0009656752,0.00013305967,0.00045360776,0.00015882081],"domain_scores_gemma":[0.99769527,0.00097462506,0.00063527795,0.00022435677,0.00037518228,0.00009531399],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012796953,0.00013055078,0.0007392191,0.00050904305,0.000028803168,0.000014599617,0.00015831091,0.00010230773,0.0006330293],"category_scores_gemma":[0.00124499,0.000102213446,0.00035286104,0.0012222851,0.00001873086,0.00007801455,0.000024185183,0.0002410742,0.0000013617379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0061433027,0.0057300953,0.0017322398,0.00013467684,0.002638084,0.00007341097,0.0018993015,0.002527066,0.15257749,0.8072446,0.00028323793,0.019016493],"study_design_scores_gemma":[0.007201298,0.003605996,0.0038242158,0.00019078577,0.003544968,0.000046827365,0.0010803026,0.27239075,0.09746858,0.6097359,0.0003757809,0.00053459336],"about_ca_topic_score_codex":0.00003751546,"about_ca_topic_score_gemma":0.000027542636,"teacher_disagreement_score":0.39191863,"about_ca_system_score_codex":0.00010510946,"about_ca_system_score_gemma":0.0000650965,"threshold_uncertainty_score":0.6931227},"labels":[],"label_agreement":null},{"id":"W2065117950","doi":"10.1007/s11072-010-0111-3","title":"A complete asymptotic analysis of an oscillation free nonlinear equation of Bessel type with a pole in the dependent variable","year":2010,"lang":"en","type":"article","venue":"Nonlinear oscillations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Mathematical analysis; Gravitational singularity; Bessel function; Singularity; Nonlinear system; Piecewise; Constant (computer programming); Differentiable function","score_opus":0.06715219099179456,"score_gpt":0.3459291760602136,"score_spread":0.2787769850684191,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2065117950","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8561703,0.0000046222885,0.14178345,0.0001227712,0.00008222596,0.00033873902,0.00021907916,0.000022149738,0.0012566546],"genre_scores_gemma":[0.61740744,0.000001397766,0.38232625,0.000015429152,0.000046144472,0.00000757627,0.00015495671,0.00001224171,0.000028571472],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99834913,0.00023597121,0.00056329824,0.00021683176,0.00047291932,0.00016184084],"domain_scores_gemma":[0.99754643,0.0009902919,0.0003453493,0.00074656977,0.00032158763,0.000049746646],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008204393,0.00013467649,0.0003829745,0.00043540067,0.00009901016,0.000031526954,0.00029789686,0.000099233956,0.000118303455],"category_scores_gemma":[0.00094757753,0.000094868556,0.00008015772,0.0025202564,0.00009310721,0.00014598257,0.00004066098,0.00020471436,0.0000016541509],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006285516,0.0072715357,0.09817316,0.00037327557,0.0022619325,0.0000051105285,0.009867476,0.095758215,0.21712837,0.5561692,0.00004462298,0.012318525],"study_design_scores_gemma":[0.0007679309,0.00032618467,0.035384897,0.000027793782,0.0010760251,0.0000025575807,0.00038052184,0.9327803,0.0005902217,0.028225867,0.00023964015,0.00019804727],"about_ca_topic_score_codex":0.00031537263,"about_ca_topic_score_gemma":0.0018302592,"teacher_disagreement_score":0.8370221,"about_ca_system_score_codex":0.000014353112,"about_ca_system_score_gemma":0.00010477955,"threshold_uncertainty_score":0.38686275},"labels":[],"label_agreement":null},{"id":"W2070319312","doi":"10.1016/s0096-3003(00)00055-2","title":"Traveling waves for the diffusive Nicholson's blowflies equation","year":2001,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":124,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; University of Alberta","funders":"","keywords":"Traveling wave; Mathematics; Mathematical analysis; Numerical analysis; Front (military); Applied mathematics; Line (geometry); Calculus (dental); Geometry; Physics","score_opus":0.10399166464728973,"score_gpt":0.3576969371826555,"score_spread":0.2537052725353658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2070319312","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0804114,0.000057051962,0.9171664,0.00033744026,0.000075310076,0.0006739003,0.0000029940338,0.000054952583,0.0012205673],"genre_scores_gemma":[0.53445315,0.00006290199,0.464997,0.00007148904,0.00009649758,0.00018352577,0.000010939416,0.000024097217,0.00010038171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915665,0.000014968465,0.0003205016,0.0001715085,0.00017637858,0.00015998281],"domain_scores_gemma":[0.9967779,0.0027723466,0.00019088178,0.00013781956,0.00008210604,0.000038936556],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000449422,0.00014128027,0.0002098965,0.00003745318,0.0002975316,0.00011582992,0.00008891583,0.000055240496,0.000013340187],"category_scores_gemma":[0.00021814827,0.000096496784,0.000058592632,0.00013450363,0.0000498348,0.000047641068,0.00003222822,0.000071610935,0.0000036410913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017772034,0.00013785841,0.0000026316184,0.00011036272,0.00004576502,1.7382501e-7,0.0019497186,0.00022323398,0.0014830157,0.7039703,0.00010071059,0.29195842],"study_design_scores_gemma":[0.00035810375,0.00003420818,0.000066758286,0.000019223138,0.00009373749,0.0000030313101,0.0010022981,0.30939606,0.00032083734,0.6882872,0.0003110789,0.00010744001],"about_ca_topic_score_codex":0.0000030934584,"about_ca_topic_score_gemma":0.0000026060397,"teacher_disagreement_score":0.45404178,"about_ca_system_score_codex":0.000013809897,"about_ca_system_score_gemma":0.000010508146,"threshold_uncertainty_score":0.39350244},"labels":[],"label_agreement":null},{"id":"W2075096667","doi":"10.1016/j.jmaa.2004.02.024","title":"Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line","year":2004,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Bounded function; Integral equation; Mathematical analysis; Collocation method; Norm (philosophy); Real line; Polygon mesh; Volterra integral equation; Uniform norm; Numerical analysis; Differential equation; Geometry; Ordinary differential equation","score_opus":0.09572747078499268,"score_gpt":0.4335353225709125,"score_spread":0.3378078517859198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2075096667","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.039542045,0.00003020883,0.95873266,0.0009473309,0.000009439503,0.0003143782,0.000045729255,0.0000061156225,0.0003720785],"genre_scores_gemma":[0.54644614,0.000020634292,0.4533334,0.000031819865,0.000035402678,0.00006863951,0.0000077865325,0.000009773982,0.000046358957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99760234,0.0002472777,0.0014895813,0.00017671709,0.00033184967,0.00015220793],"domain_scores_gemma":[0.9904608,0.007261491,0.0012430587,0.00040128623,0.0005074328,0.0001259276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020046139,0.00016736756,0.0012291077,0.0006598985,0.0001153114,0.000030513302,0.00028978742,0.00009052554,0.0002835006],"category_scores_gemma":[0.0015920828,0.00009635299,0.0010656962,0.0029868728,0.00017948341,0.00005365558,0.000032671924,0.00020527831,6.8992676e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003476027,0.001044331,0.000026496067,0.00008227154,0.005458229,9.858396e-8,0.00029112614,0.0006356356,0.002422781,0.9820357,0.000011671033,0.007956887],"study_design_scores_gemma":[0.00040993723,0.00027654585,0.0005042059,0.000042191616,0.01697734,0.0000015471824,0.00035719926,0.03830176,0.0039213565,0.9389558,0.00013186822,0.00012025956],"about_ca_topic_score_codex":0.000010962807,"about_ca_topic_score_gemma":0.000012282941,"teacher_disagreement_score":0.5069041,"about_ca_system_score_codex":0.000033407232,"about_ca_system_score_gemma":0.000055224726,"threshold_uncertainty_score":0.39291608},"labels":[],"label_agreement":null},{"id":"W2076110297","doi":"10.1017/s0308210500001116","title":"Limiting profiles for periodic solutions of scalar delay differential equations","year":2001,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Limiting; Mathematics; Scalar (mathematics); Physics; Delay differential equation; Differential equation; Mathematical analysis; Mathematical physics; Geometry","score_opus":0.06791083497913762,"score_gpt":0.3147495964128909,"score_spread":0.24683876143375327,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076110297","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38459423,0.000032810178,0.6132161,0.00019417811,0.0002863215,0.0007409098,0.000029664185,0.00005068159,0.0008550762],"genre_scores_gemma":[0.8059977,0.000016348347,0.1925221,0.0000092899145,0.00023179912,0.00011502265,0.0000029879147,0.00003056305,0.0010741736],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99801034,0.000013456702,0.00097371574,0.00020755413,0.0005008334,0.00029412797],"domain_scores_gemma":[0.99674886,0.0008912429,0.0012255675,0.00017105069,0.00089971075,0.00006358287],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082283607,0.0002120331,0.0005502233,0.00007059807,0.00035810337,0.000031445077,0.00033571594,0.00017915675,0.00023059342],"category_scores_gemma":[0.002005387,0.00016023529,0.0007845427,0.00046865933,0.00028043299,0.0001160509,0.00015827827,0.00018854499,1.8517811e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002913609,0.0106733,0.00473484,0.01239557,0.00259366,1.0089617e-7,0.038356107,0.000561108,0.50323606,0.35641912,0.05965886,0.01107993],"study_design_scores_gemma":[0.0018215725,0.00058193115,0.0004934967,0.0013482753,0.0013564988,0.000009279549,0.0096135605,0.5776487,0.07637676,0.32972696,0.00048786265,0.0005350776],"about_ca_topic_score_codex":0.000015645832,"about_ca_topic_score_gemma":0.0000012648978,"teacher_disagreement_score":0.5770876,"about_ca_system_score_codex":0.000056184974,"about_ca_system_score_gemma":0.00004744861,"threshold_uncertainty_score":0.6534205},"labels":[],"label_agreement":null},{"id":"W2076449385","doi":"10.1007/s102550200011","title":"Modified High-order Upwing Method for Convection Diffusion Equation","year":2002,"lang":"en","type":"article","venue":"Acta Mathematicae Applicatae Sinica English Series","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Convection–diffusion equation; Upwind scheme; Mathematics; Numerical solution of the convection–diffusion equation; Convection; Finite difference method; Norm (philosophy); Diffusion; Partition (number theory); Finite difference; Mathematical analysis; Applied mathematics; Mechanics; Physics; Finite element method; Thermodynamics; Mixed finite element method; Discretization; Law","score_opus":0.09650235842982412,"score_gpt":0.3491670748321499,"score_spread":0.2526647164023258,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076449385","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01812659,0.000032091764,0.9742529,0.0008844342,0.00037155667,0.0016683924,0.000048953196,0.0005832475,0.0040318277],"genre_scores_gemma":[0.3069557,0.0000527326,0.69002396,0.000107393855,0.0003912249,0.0011881858,0.000062607585,0.00010847447,0.0011097474],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99709177,0.00024115173,0.001038694,0.00067122496,0.0004401142,0.00051701814],"domain_scores_gemma":[0.9935877,0.0042424626,0.0005029877,0.0010176362,0.00047396857,0.00017525043],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012033529,0.0004261793,0.00081150647,0.0001454401,0.0004034677,0.00020071866,0.00044219912,0.00027742598,0.00055583083],"category_scores_gemma":[0.0055366643,0.00037365916,0.00024118621,0.0005583458,0.000128263,0.0005943883,0.00016342507,0.00026085906,0.00003816069],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008785634,0.0010391892,0.0000024019075,0.00059403584,0.00015340265,6.035111e-7,0.003835836,0.000014237837,0.011073982,0.9396587,0.0028931953,0.04064658],"study_design_scores_gemma":[0.0016495535,0.0003262151,0.000022476414,0.00012773054,0.0003915524,0.000008856575,0.0009910522,0.08232704,0.008569628,0.8764707,0.028328134,0.0007870619],"about_ca_topic_score_codex":0.000015095603,"about_ca_topic_score_gemma":0.0000047361655,"teacher_disagreement_score":0.2888291,"about_ca_system_score_codex":0.00006998203,"about_ca_system_score_gemma":0.000018070175,"threshold_uncertainty_score":0.99987155},"labels":[],"label_agreement":null},{"id":"W2078835983","doi":"10.1093/imamat/hxs021","title":"Travelling wave solutions in a non-local and time-delayed reaction-diffusion model","year":2012,"lang":"en","type":"article","venue":"IMA Journal of Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Memorial University of Newfoundland; National Natural Science Foundation of China; Program of Shanghai Subject Chief Scientist; University of Miami","keywords":"China; Diffusion; Reaction–diffusion system; Volume (thermodynamics); Library science; Operations research; Mathematics; History; Computer science; Political science; Physics; Law; Thermodynamics; Mathematical analysis","score_opus":0.06583629768952456,"score_gpt":0.31943534553201447,"score_spread":0.2535990478424899,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078835983","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22395106,0.00005055286,0.7721327,0.00005393518,0.000059767048,0.00016464476,0.0000025905663,0.000011328345,0.0035734337],"genre_scores_gemma":[0.5103832,0.000049540406,0.48940375,0.000016323726,0.000067352164,0.0000062994777,6.988235e-7,0.000024259567,0.000048577283],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99838877,0.000027686343,0.00084036204,0.00009742974,0.00031817384,0.0003275588],"domain_scores_gemma":[0.9984381,0.00064147735,0.0004872463,0.00016779323,0.00008716828,0.00017822241],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013407378,0.00017718974,0.00048052685,0.00021269216,0.000095208205,0.000030060135,0.00010038052,0.00011969328,0.00003712674],"category_scores_gemma":[0.00015115776,0.00014284732,0.000098458695,0.00020641185,0.0000705249,0.00017756627,0.000056190478,0.00033841527,0.0000105557265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038772702,0.0059478125,0.000010843841,0.000711535,0.00033435173,0.000014656233,0.026205974,0.001634115,0.28343567,0.55082387,0.00096814387,0.12952532],"study_design_scores_gemma":[0.00077404367,0.000062767074,0.000038444818,0.00012673032,0.00014903968,0.00008906531,0.0009602163,0.514792,0.0019808013,0.48081923,0.00003404776,0.00017359048],"about_ca_topic_score_codex":0.0000019418353,"about_ca_topic_score_gemma":8.618938e-7,"teacher_disagreement_score":0.5131579,"about_ca_system_score_codex":0.000078528654,"about_ca_system_score_gemma":0.000037090864,"threshold_uncertainty_score":0.58251446},"labels":[],"label_agreement":null},{"id":"W2078990062","doi":"10.1093/imanum/dri024","title":"A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations","year":2005,"lang":"en","type":"article","venue":"IMA Journal of Numerical Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; A priori and a posteriori; Galerkin method; Applied mathematics; Differential equation; Volterra integral equation; Volterra equations; Numerical analysis; Error analysis; Calculus (dental); Mathematical analysis; Finite element method; Integral equation; Nonlinear system; Philosophy; Medicine; Physics; Epistemology","score_opus":0.06810279193187098,"score_gpt":0.44356830216792226,"score_spread":0.3754655102360513,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2078990062","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.036013562,0.0001441459,0.9624456,0.0008531924,0.00018115027,0.00020217524,0.00005761375,0.00001752195,0.000085000276],"genre_scores_gemma":[0.45859537,0.000007304682,0.54108995,0.000027834423,0.00015698475,0.000011674508,0.000008645257,0.00002216638,0.00008008625],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9967194,0.00036763534,0.0018131667,0.0002625494,0.00047900114,0.0003582188],"domain_scores_gemma":[0.99422204,0.0028747334,0.0015126414,0.0003516074,0.00079793006,0.00024103964],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001173436,0.00030773433,0.0017303278,0.0006845148,0.000118866505,0.00009222439,0.00045198502,0.000115777664,0.0008143663],"category_scores_gemma":[0.0032078996,0.00022093423,0.0016780648,0.0011988368,0.00013734901,0.0002704117,0.00008780942,0.000287201,0.0000028635982],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0014974823,0.0024949063,0.00093634095,0.00022791541,0.011027027,0.000007743201,0.0021806185,0.0010378936,0.05192272,0.0056613786,0.0012425431,0.9217634],"study_design_scores_gemma":[0.0038460046,0.0029051488,0.0031634355,0.0002568655,0.02384151,0.00004996698,0.0010318053,0.8609983,0.026551047,0.07302327,0.0033057586,0.0010269411],"about_ca_topic_score_codex":0.00003406457,"about_ca_topic_score_gemma":0.000009573077,"teacher_disagreement_score":0.9207365,"about_ca_system_score_codex":0.000103960054,"about_ca_system_score_gemma":0.00008090349,"threshold_uncertainty_score":0.90094364},"labels":[],"label_agreement":null},{"id":"W2086221033","doi":"10.1175/mwr-d-13-00302.1","title":"Theoretical and Numerical Analysis of a Class of Semi-Implicit Semi-Lagrangian Schemes Potentially Applicable to Atmospheric Models","year":2014,"lang":"en","type":"article","venue":"Monthly Weather Review","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Convergence (economics); Nonlinear system; Mathematics; Stability (learning theory); Applied mathematics; Forcing (mathematics); Class (philosophy); Term (time); Trapezoidal rule; Lagrangian; Instability; Numerical weather prediction; Numerical stability; Mathematical optimization; Numerical analysis; Numerical integration; Computer science; Mathematical analysis","score_opus":0.024839486300526008,"score_gpt":0.3165573386210757,"score_spread":0.2917178523205497,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086221033","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016697451,0.008147295,0.9667523,0.00051051704,0.000020899757,0.00070637465,0.00002932437,0.000043326778,0.0070925034],"genre_scores_gemma":[0.7635112,0.0017508422,0.23372771,0.00060776237,0.000030203622,0.00014068588,0.000011320794,0.000058249792,0.00016206707],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9977964,0.00034290904,0.00082376896,0.00038940294,0.00036992558,0.00027758887],"domain_scores_gemma":[0.9981591,0.0005228962,0.00029380646,0.0006728192,0.00015044466,0.00020091227],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009260503,0.00025456195,0.0015233794,0.000052135656,0.000042834705,0.000018430355,0.00028298353,0.0001005649,0.0005348066],"category_scores_gemma":[0.00043519188,0.0001900403,0.00043422575,0.0013141352,0.00012883452,0.000058842754,0.00013254104,0.00011768698,0.000005858086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004529643,0.00038265856,0.00018485246,0.0022572796,0.0010788231,7.217614e-7,0.00019505598,0.00048289282,0.0020675093,0.81123096,0.00027162512,0.18180235],"study_design_scores_gemma":[0.0008434648,0.0006537524,0.0005726443,0.0030262286,0.01197795,0.0000031829418,0.00006860387,0.5318239,0.0012687226,0.41588932,0.03287459,0.0009976617],"about_ca_topic_score_codex":0.000045736986,"about_ca_topic_score_gemma":0.000003854826,"teacher_disagreement_score":0.7468137,"about_ca_system_score_codex":0.000018409506,"about_ca_system_score_gemma":0.000016704664,"threshold_uncertainty_score":0.7749619},"labels":[],"label_agreement":null},{"id":"W2091344274","doi":"10.1016/s0294-1449(99)00104-3","title":"Multiple boundary peak solutions for some singularly perturbed Neumann problems","year":2000,"lang":"en","type":"article","venue":"Annales de l Institut Henri Poincaré C Analyse Non Linéaire","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":194,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Neumann boundary condition; Boundary (topology); Boundary value problem; Mathematics; Neumann series; Mathematical analysis","score_opus":0.0790920211740221,"score_gpt":0.33946416759153425,"score_spread":0.26037214641751216,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091344274","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61478686,0.0020974455,0.37324488,0.0022751295,0.0004909887,0.0016993096,0.00024210218,0.0005197923,0.004643478],"genre_scores_gemma":[0.9207827,0.00027866062,0.07050988,0.00090879924,0.0007390183,0.00034583325,0.00023212108,0.00010042872,0.006102565],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9970743,0.00021302882,0.0008142084,0.00060077984,0.00036379366,0.00093389023],"domain_scores_gemma":[0.99788165,0.0006313126,0.00021929303,0.00068873155,0.0002488741,0.00033016622],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008404177,0.0004303693,0.0006874714,0.00027138938,0.0011467044,0.0002759073,0.00044635608,0.00023125537,0.00027763261],"category_scores_gemma":[0.0008605165,0.0003951879,0.00067055126,0.0004877559,0.0003154618,0.0006701484,0.00008840441,0.00037449496,0.00009238161],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010479882,0.0057548,0.002592511,0.002126415,0.0027338937,0.00014552855,0.010414648,0.010870121,0.013462523,0.10509241,0.022069225,0.82368994],"study_design_scores_gemma":[0.0037815163,0.000864258,0.0033053707,0.0005665421,0.0013773224,0.00008385754,0.00072251365,0.39381418,0.0008776484,0.34544736,0.2473127,0.0018467444],"about_ca_topic_score_codex":0.00026535787,"about_ca_topic_score_gemma":0.000461484,"teacher_disagreement_score":0.8218432,"about_ca_system_score_codex":0.00015573482,"about_ca_system_score_gemma":0.00035194724,"threshold_uncertainty_score":0.99985},"labels":[],"label_agreement":null},{"id":"W2095175934","doi":"10.1007/s10543-006-0055-2","title":"Superconvergence in Collocation Methods on Quasi-Graded Meshes for Functional Differential Equations with Vanishing Delays","year":2006,"lang":"en","type":"article","venue":"BIT Numerical Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Superconvergence; Mathematics; Piecewise; Collocation (remote sensing); Nonlinear system; Collocation method; Polynomial; Polygon mesh; Mathematical analysis; Degree of a polynomial; Applied mathematics; Differential equation; Finite element method; Geometry; Computer science","score_opus":0.09789838969182385,"score_gpt":0.3735161774857028,"score_spread":0.27561778779387897,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2095175934","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.050879296,0.00001949717,0.94703025,0.00027817345,0.0002355452,0.0008755936,0.000019702764,0.00013383542,0.0005280856],"genre_scores_gemma":[0.4900747,0.0000022894988,0.5090369,0.000039909624,0.000111908426,0.0003674637,0.0000403333,0.000051531926,0.0002749833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99739283,0.00029476598,0.0008875489,0.00046026404,0.0005143694,0.00045019307],"domain_scores_gemma":[0.99318355,0.005833965,0.0002853033,0.00041428104,0.00017109342,0.000111794114],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00069316855,0.0003582329,0.00063315145,0.00021886344,0.00022761348,0.000113632566,0.00023763048,0.00014134399,0.00026996766],"category_scores_gemma":[0.0017760951,0.00028164423,0.00018549243,0.0007327638,0.000091148846,0.00019104281,0.00004521607,0.0002386774,0.000019656096],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014356416,0.0037042256,0.00022301465,0.0003025904,0.00008183682,0.0000025929664,0.00041914254,0.00078855135,0.005135607,0.9808442,0.0006278383,0.0077268635],"study_design_scores_gemma":[0.0015690485,0.0007079732,0.0013018781,0.0001884893,0.00021722706,0.000009295658,0.00042916794,0.2687078,0.005621076,0.7203205,0.00032739853,0.00060008495],"about_ca_topic_score_codex":0.00008880494,"about_ca_topic_score_gemma":0.0000447754,"teacher_disagreement_score":0.4391954,"about_ca_system_score_codex":0.0001536078,"about_ca_system_score_gemma":0.000078043966,"threshold_uncertainty_score":0.9999636},"labels":[],"label_agreement":null},{"id":"W2100913482","doi":"10.1155/2013/542897","title":"Numerical Solutions of Singularly Perturbed Reaction Diffusion Equation with Sobolev Gradients","year":2013,"lang":"en","type":"article","venue":"Journal of Function Spaces and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Brock University; McMaster University","funders":"Higher Education Commission, Pakistan","keywords":"Sobolev space; Mathematics; Diffusion; Mathematical analysis; Reaction–diffusion system; Sobolev inequality; Physics; Thermodynamics","score_opus":0.052481732753794856,"score_gpt":0.3003324874437172,"score_spread":0.24785075468992235,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2100913482","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20099702,0.000086064916,0.79764,0.0006213217,0.00007528209,0.00025896984,0.0000019352185,0.000014714026,0.00030467755],"genre_scores_gemma":[0.96501446,0.000065239146,0.034484986,0.00002817014,0.00015206444,0.00005503386,0.000004646022,0.000013600392,0.00018180691],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989354,0.00007716041,0.00045548298,0.000121467834,0.0002865948,0.0001238805],"domain_scores_gemma":[0.99828446,0.0002837967,0.0006874544,0.00014903129,0.00048691643,0.00010834436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00026225808,0.00010864309,0.00024592725,0.00015788064,0.00019007597,0.000057860394,0.000066299646,0.00006296422,0.00006646234],"category_scores_gemma":[0.00012038937,0.000075521166,0.00008155387,0.00032838553,0.000067505294,0.00032779324,0.00001591347,0.00014643726,0.0000048213105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004958756,0.0035449741,0.005260305,0.00028666397,0.0005221865,9.564017e-7,0.0013245315,0.00024763498,0.19381543,0.3009073,0.002582258,0.4910119],"study_design_scores_gemma":[0.005077329,0.0048357225,0.17141487,0.00054090295,0.0018206324,0.00022943584,0.0050512077,0.028395597,0.0033445563,0.7463945,0.03187165,0.0010236045],"about_ca_topic_score_codex":0.00006210718,"about_ca_topic_score_gemma":0.0000037069842,"teacher_disagreement_score":0.7640174,"about_ca_system_score_codex":0.000032333784,"about_ca_system_score_gemma":0.000030325906,"threshold_uncertainty_score":0.30796638},"labels":[],"label_agreement":null},{"id":"W2107116788","doi":"10.1142/s0219891606000859","title":"TRANSONIC REGULAR REFLECTION FOR THE NONLINEAR WAVE SYSTEM","year":2006,"lang":"en","type":"article","venue":"Journal of Hyperbolic Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"National Science Foundation","keywords":"Transonic; Reflection (computer programming); Nonlinear system; Physics; Mechanics; Geology; Acoustics; Mathematics; Computer science","score_opus":0.08782063307587502,"score_gpt":0.34863872804565793,"score_spread":0.2608180949697829,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2107116788","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.049754873,0.00024744327,0.94713604,0.0007326778,0.0011437774,0.0004338737,0.000024841034,0.00004544876,0.0004810214],"genre_scores_gemma":[0.93874854,0.000019156616,0.05850525,0.000021766666,0.0017667158,0.00005050012,0.0000112687985,0.000044921846,0.00083186524],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99788386,0.00021378863,0.0009953841,0.00015481088,0.00047829148,0.00027387147],"domain_scores_gemma":[0.99671274,0.0018271996,0.00062950747,0.0002975348,0.00045375215,0.00007924809],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006878421,0.00019750645,0.00045769595,0.00019008973,0.00039662988,0.000119348755,0.0002532106,0.00011121516,0.000088800596],"category_scores_gemma":[0.0004973661,0.00012512412,0.00053200935,0.00031536786,0.00007264608,0.00015391466,0.000019994779,0.00024977713,0.0000042377796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035265615,0.0014042794,0.00001858209,0.0002913978,0.000658561,0.0000074217173,0.00044127338,0.0006463945,0.034208883,0.90625554,0.0033170248,0.05239801],"study_design_scores_gemma":[0.008959771,0.0018379637,0.0024952665,0.0006433426,0.0062009576,0.00042090463,0.0016971687,0.43631542,0.018017069,0.4738125,0.04836691,0.0012327237],"about_ca_topic_score_codex":0.00003511356,"about_ca_topic_score_gemma":0.000035744724,"teacher_disagreement_score":0.8889937,"about_ca_system_score_codex":0.00011450208,"about_ca_system_score_gemma":0.0000928531,"threshold_uncertainty_score":0.5102414},"labels":[],"label_agreement":null},{"id":"W2109739395","doi":"10.1016/j.cam.2005.04.018","title":"Adaptive multiquadric collocation for boundary layer problems","year":2005,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Pacific Institute for the Mathematical Sciences; Simon Fraser University","funders":"","keywords":"Mathematics; Collocation (remote sensing); Basis function; Radial basis function; Iterated function; Transformation (genetics); Boundary (topology); Interval (graph theory); Mathematical analysis; Conformal map; Singular boundary method; Basis (linear algebra); Applied mathematics; Geometry; Boundary element method; Finite element method; Computer science","score_opus":0.0815168986261542,"score_gpt":0.35016043944263503,"score_spread":0.26864354081648084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2109739395","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.045046132,0.000072492374,0.95332766,0.00041250815,0.00007161742,0.00034163255,0.000006981122,0.000014238889,0.0007067543],"genre_scores_gemma":[0.28112486,0.000007160369,0.7184675,0.000060695536,0.00021384355,0.000019463172,0.0000023523862,0.000013843096,0.00009028981],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99886674,0.000018921459,0.00062931736,0.00008941506,0.00028023752,0.00011538875],"domain_scores_gemma":[0.99763566,0.0013521119,0.0005598568,0.000059551596,0.00031701598,0.00007582163],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005664503,0.000121105644,0.0003120411,0.0001011367,0.000115494186,0.000052706557,0.00008723891,0.000052131396,0.00001994983],"category_scores_gemma":[0.00015504831,0.00009301494,0.0000857904,0.00011349128,0.00004958432,0.000103989725,0.000020482928,0.00010427946,0.0000030413562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008102177,0.00089691475,0.00000336053,0.00032778372,0.00015518816,3.6334976e-7,0.0018602307,0.013798852,0.0010382601,0.89233303,0.00183324,0.08767175],"study_design_scores_gemma":[0.00093809277,0.00015331208,0.00006775856,0.0000643584,0.00009228852,0.000027930655,0.00025476774,0.096908465,0.00051075657,0.8982014,0.002667486,0.000113362934],"about_ca_topic_score_codex":1.8398752e-7,"about_ca_topic_score_gemma":6.654659e-7,"teacher_disagreement_score":0.23607874,"about_ca_system_score_codex":0.00003613315,"about_ca_system_score_gemma":0.00006505524,"threshold_uncertainty_score":0.3793039},"labels":[],"label_agreement":null},{"id":"W2111082779","doi":"10.1007/s10665-009-9343-6","title":"How to adaptively resolve evolutionary singularities in differential equations with symmetry","year":2009,"lang":"en","type":"article","venue":"Journal of Engineering Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Gravitational singularity; Partial differential equation; Singularity; Homogeneous space; Mathematics; Symmetry (geometry); Separable partial differential equation; Differential equation; Computer science; Applied mathematics; Ordinary differential equation; Mathematical analysis; Differential algebraic equation; Geometry","score_opus":0.04043296096671712,"score_gpt":0.2902675530555099,"score_spread":0.24983459208879277,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2111082779","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08016128,0.00006920505,0.91876346,0.00056529214,0.00011463857,0.00014204289,0.0000035148676,0.000027577555,0.000152968],"genre_scores_gemma":[0.46424565,0.000003361974,0.5354806,0.00001253258,0.00010019601,0.0000027981282,4.8947095e-7,0.000016759692,0.00013759475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986599,0.00003723097,0.00053383206,0.00010156211,0.0004374736,0.0002300104],"domain_scores_gemma":[0.99844,0.00079094555,0.00025856672,0.00017887929,0.00020426261,0.00012734509],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032613912,0.0001831587,0.0004489827,0.0004608541,0.00003871595,0.00008712374,0.00019279425,0.00006961945,0.000013140449],"category_scores_gemma":[0.0020972756,0.00014112433,0.000107624735,0.00044059718,0.000018588085,0.00020046372,0.000023226796,0.00027879686,0.0000010509035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013379013,0.0021145542,0.00006305238,0.00043709093,0.00024943933,0.00010023284,0.0035857633,0.007900807,0.015627561,0.9626405,0.0007034592,0.0064437333],"study_design_scores_gemma":[0.004021653,0.004729211,0.012807668,0.0054224334,0.00067505694,0.00046618332,0.0033164187,0.2104668,0.005394334,0.7498126,0.0012191529,0.0016684774],"about_ca_topic_score_codex":9.683514e-7,"about_ca_topic_score_gemma":0.0000012649793,"teacher_disagreement_score":0.38408437,"about_ca_system_score_codex":0.00011237067,"about_ca_system_score_gemma":0.000044363398,"threshold_uncertainty_score":0.57548827},"labels":[],"label_agreement":null},{"id":"W2113532376","doi":"10.1002/num.20233","title":"On the stability of alternating‐direction explicit methods for advection‐diffusion equations","year":2007,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Advection; Mathematics; Computation; Stability (learning theory); Partial differential equation; Diffusion; Mathematical analysis; Term (time); Applied mathematics; Parabolic partial differential equation; Time stepping; Physics; Computer science; Algorithm","score_opus":0.18090825615710118,"score_gpt":0.48743676702677663,"score_spread":0.3065285108696755,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2113532376","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009856608,0.00003472266,0.9836519,0.0006178338,0.0020360781,0.0030589718,0.000100787525,0.0002080983,0.00043505165],"genre_scores_gemma":[0.32324103,0.0000040363057,0.6747696,0.00007486634,0.0003724201,0.0012658898,0.000059255046,0.0000748606,0.00013808555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9936446,0.0024472552,0.0018386147,0.00078991364,0.00049878715,0.000780864],"domain_scores_gemma":[0.924634,0.07250119,0.00097061234,0.0008815322,0.0007393261,0.00027337167],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0073664533,0.000497317,0.00094104046,0.00031937732,0.00101957,0.000094406845,0.00050302624,0.00029386373,0.00066782284],"category_scores_gemma":[0.04786682,0.00037111813,0.00093933934,0.0009821655,0.00019921789,0.00017319109,0.00012663839,0.0004132438,0.000006298172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004420569,0.0010730202,0.000008988887,0.000075611395,0.00014992229,4.5129063e-8,0.0003889599,0.000046793524,0.107066415,0.5911368,0.00006884908,0.29954252],"study_design_scores_gemma":[0.0011004577,0.00095436664,0.00019457634,0.00005112976,0.00046315676,7.7928445e-7,0.00022300931,0.30871987,0.19358316,0.49251652,0.0017652868,0.0004276985],"about_ca_topic_score_codex":0.0001113537,"about_ca_topic_score_gemma":0.000019164032,"teacher_disagreement_score":0.3133844,"about_ca_system_score_codex":0.00019835612,"about_ca_system_score_gemma":0.00009026578,"threshold_uncertainty_score":0.99987406},"labels":[],"label_agreement":null},{"id":"W2114365509","doi":"10.1142/s021969130700177x","title":"CUBIC SPLINE ADAPTIVE WAVELET SCHEME TO SOLVE SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS","year":2007,"lang":"en","type":"article","venue":"International Journal of Wavelets Multiresolution and Information Processing","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Wavelet; Singular perturbation; Mathematics; Thresholding; Spline (mechanical); Reaction–diffusion system; Multiresolution analysis; Grid; Applied mathematics; Mathematical analysis; Collocation method; Algorithm; Wavelet transform; Computer science; Discrete wavelet transform; Ordinary differential equation; Geometry; Differential equation","score_opus":0.04437278670063715,"score_gpt":0.34925627119313435,"score_spread":0.3048834844924972,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2114365509","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23399217,0.00004994793,0.76379,0.00078934385,0.000498144,0.00018330812,0.000005935592,0.000033351764,0.00065775664],"genre_scores_gemma":[0.7032871,0.00003803686,0.29590237,0.0004152981,0.00027331788,0.0000033425647,0.000015461761,0.000012478995,0.00005253894],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9976558,0.000036283032,0.0011589078,0.000121583624,0.00079870236,0.00022873668],"domain_scores_gemma":[0.9967895,0.00019406415,0.0010205588,0.00008458278,0.001718455,0.0001928379],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013528374,0.00018127574,0.00025390903,0.0006589609,0.00018107162,0.00021742715,0.00019859575,0.00011523826,0.000024633247],"category_scores_gemma":[0.0013412302,0.00015003557,0.00009767928,0.00026831363,0.000052348536,0.0027628134,0.00007795326,0.00028255372,0.000008631103],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006720649,0.00026786316,0.000077427016,0.00007647512,0.00008366568,0.0000064651153,0.004254226,0.000028810551,0.034130104,0.012817535,0.00021470244,0.94737065],"study_design_scores_gemma":[0.018502206,0.0032034402,0.07168957,0.0059193415,0.00041491276,0.0020109355,0.011307982,0.64660287,0.03770956,0.06557126,0.13415436,0.002913568],"about_ca_topic_score_codex":0.00002054598,"about_ca_topic_score_gemma":0.0000059650515,"teacher_disagreement_score":0.9444571,"about_ca_system_score_codex":0.00023231677,"about_ca_system_score_gemma":0.000081626145,"threshold_uncertainty_score":0.6118273},"labels":[],"label_agreement":null},{"id":"W2116909571","doi":"10.1016/s0096-3003(99)00129-0","title":"Solving banded and near symmetric systems","year":2000,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Nonlinear system; Coefficient matrix; Mathematical analysis; Boundary value problem; Linear system; Numerical analysis; Symmetry (geometry); Matrix (chemical analysis); Work (physics); Applied mathematics; Differential equation; Finite difference method; Geometry; Physics; Eigenvalues and eigenvectors","score_opus":0.0437404928249081,"score_gpt":0.31160456562537847,"score_spread":0.26786407280047037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2116909571","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4730412,0.00013352562,0.51329416,0.00003478303,0.000044132452,0.00034467486,0.0000018965924,0.000086183834,0.013019427],"genre_scores_gemma":[0.65420896,0.00004653488,0.34554526,0.000018794086,0.000027276634,0.000027068776,0.0000036397914,0.00001806853,0.00010437961],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992007,0.000019987023,0.00030142852,0.0001768756,0.00016084693,0.00014018308],"domain_scores_gemma":[0.9990934,0.0006034275,0.000097754666,0.00010489302,0.000029356257,0.00007118173],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030427883,0.00012894554,0.00025631796,0.000062763414,0.00017352031,0.00020182392,0.000044921046,0.000058354653,0.000042496165],"category_scores_gemma":[0.000048132166,0.00010997314,0.000022397386,0.00020209714,0.000046530786,0.00004811391,0.000024654095,0.000070674134,0.000012928384],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000074352142,0.00012878406,0.0000047575813,0.00035102345,0.000030040042,7.1119365e-7,0.00087084976,0.00013496986,0.00025048794,0.60103273,0.000093318275,0.39709488],"study_design_scores_gemma":[0.0004169417,0.000045017863,0.0001357066,0.00005019252,0.00006588487,0.000012371566,0.00023882964,0.44665778,0.000049901508,0.5518714,0.00027810334,0.00017786147],"about_ca_topic_score_codex":0.0000090391295,"about_ca_topic_score_gemma":4.3902182e-7,"teacher_disagreement_score":0.4465228,"about_ca_system_score_codex":0.000010425091,"about_ca_system_score_gemma":0.000008205467,"threshold_uncertainty_score":0.44845745},"labels":[],"label_agreement":null},{"id":"W2123999653","doi":"10.1007/s10665-014-9701-x","title":"A hybrid asymptotic-numerical method for calculating drag coefficients in 2-D low Reynolds number flows","year":2014,"lang":"en","type":"article","venue":"Journal of Engineering Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Reynolds number; Asymptotic expansion; Drag coefficient; Mathematics; Mathematical analysis; Logarithm; Cylinder; Drag; Stokes flow; Flow (mathematics); Physics; Turbulence; Geometry; Mechanics","score_opus":0.026480647499539624,"score_gpt":0.33963087872925934,"score_spread":0.31315023122971974,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2123999653","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.097313896,0.0000091572765,0.9018252,0.00006006444,0.00037444857,0.00020987536,0.0000032849257,0.000033637723,0.00017042826],"genre_scores_gemma":[0.25830504,0.0000014552166,0.7413998,0.000016605829,0.00016924644,0.000010563913,8.398634e-7,0.00005350248,0.00004291705],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99773955,0.00011027853,0.0012243612,0.0001549929,0.00041148026,0.0003593184],"domain_scores_gemma":[0.99528843,0.0035631496,0.00052226847,0.0002586826,0.00021519569,0.00015228632],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024650479,0.00024085672,0.000790578,0.00020573463,0.000045714623,0.000060595434,0.00026732628,0.00009316808,0.000036765123],"category_scores_gemma":[0.007871201,0.00020057712,0.00029008204,0.00026877277,0.000013015474,0.00010934848,0.00005032555,0.0003162741,0.000005391244],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016635729,0.005181631,0.00032936648,0.00707156,0.0007524678,0.000065479864,0.004776821,0.51660734,0.013775468,0.36417112,0.0011507272,0.085951634],"study_design_scores_gemma":[0.0008470611,0.00012739802,0.000050255363,0.0005784529,0.0000899126,0.000097096054,0.00003262485,0.94626087,0.0011768775,0.050041784,0.0004922123,0.00020545234],"about_ca_topic_score_codex":0.0000018593762,"about_ca_topic_score_gemma":3.4667244e-7,"teacher_disagreement_score":0.4296535,"about_ca_system_score_codex":0.000110752044,"about_ca_system_score_gemma":0.00003232925,"threshold_uncertainty_score":0.94231313},"labels":[],"label_agreement":null},{"id":"W2128116160","doi":"10.5267/j.ijiec.2014.3.004","title":"Numeric treatment of nonlinear second order multi-point boundary value problems using ANN, GAs and sequential quadratic programming technique","year":2014,"lang":"en","type":"article","venue":"International Journal of Industrial Engineering Computations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Nonlinear system; Boundary value problem; Sequential quadratic programming; Quadratic equation; Mathematics; Mathematical optimization; Quadratic programming; Point (geometry); Applied mathematics; Value (mathematics); Nonlinear programming; Multi point; Order (exchange); Mathematical analysis; Physics; Geometry; Statistics","score_opus":0.08883671467027836,"score_gpt":0.3593825305863058,"score_spread":0.27054581591602744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2128116160","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15362576,0.000039563,0.8452111,0.000107532585,0.0006928076,0.00027420628,0.000015395912,0.000023021259,0.000010642673],"genre_scores_gemma":[0.37788063,0.0000064725095,0.62166053,0.000004952016,0.00039821616,0.000010473608,0.000007767003,0.000023161752,0.000007790249],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985029,0.00011867031,0.00082733727,0.0001144324,0.00029269492,0.0001439464],"domain_scores_gemma":[0.998253,0.00050317537,0.00054218736,0.000090518384,0.0005155126,0.00009562228],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045020066,0.00017386948,0.00037412436,0.00034916858,0.00005849039,0.00009719079,0.00015465326,0.000098807235,0.000029097188],"category_scores_gemma":[0.0007443581,0.0001524085,0.00012785429,0.00023842302,0.000054655935,0.000181498,0.000035924673,0.00019574082,3.9093143e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023659294,0.003718613,0.0010533079,0.00028690466,0.0027108046,0.000044076998,0.0040948614,0.55243164,0.06017543,0.014080014,0.000067726156,0.36110002],"study_design_scores_gemma":[0.0030678713,0.0008105889,0.00008042948,0.00054173096,0.00021088024,0.00029577283,0.00011780898,0.9812844,0.005302226,0.005735296,0.0022695498,0.0002834584],"about_ca_topic_score_codex":0.000041993426,"about_ca_topic_score_gemma":0.000003312905,"teacher_disagreement_score":0.42885274,"about_ca_system_score_codex":0.00015036052,"about_ca_system_score_gemma":0.00015354424,"threshold_uncertainty_score":0.62150383},"labels":[],"label_agreement":null},{"id":"W2139046353","doi":"10.1137/090759495","title":"On Computing the Instability Index of a Non-Self-Adjoint Differential Operator Associated with Coating and Rimming Flows","year":2011,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Instability; Mathematical analysis; Quadratic equation; Operator (biology); Differential operator; Cylinder; Dimension (graph theory); Partial differential equation; Lyapunov function; Pure mathematics; Nonlinear system; Geometry","score_opus":0.04772058482451573,"score_gpt":0.3114983772606798,"score_spread":0.26377779243616406,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2139046353","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.62557787,0.0000037163181,0.37364313,0.00003460228,0.00001886268,0.00012798178,0.0000027883489,0.000018646964,0.0005724263],"genre_scores_gemma":[0.944456,0.0000029912173,0.055433147,0.00003052764,0.000034586286,0.000005278656,0.0000013043974,0.000021907324,0.0000142766885],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99730945,0.00056243245,0.0009374847,0.0002535479,0.00064310076,0.00029397823],"domain_scores_gemma":[0.9960118,0.0025801598,0.0006700156,0.0003403061,0.00022415632,0.00017356046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017624531,0.00026275608,0.0009085017,0.00024358866,0.0003517768,0.00010012216,0.00024590312,0.00009540859,0.0004631529],"category_scores_gemma":[0.0020214366,0.00013607995,0.0003422833,0.00079674093,0.00012166828,0.00007441998,0.0000904807,0.0005518943,0.0000036923586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003037272,0.043579113,0.04886966,0.0027030932,0.05797897,0.0001974178,0.09404262,0.0029042207,0.0074880235,0.5896293,0.00010560556,0.14946474],"study_design_scores_gemma":[0.0021750503,0.0020902657,0.036341388,0.0010094795,0.0059735295,0.000026690705,0.0020106062,0.5539905,0.001902772,0.39380455,0.0000020307493,0.0006731599],"about_ca_topic_score_codex":0.000008037715,"about_ca_topic_score_gemma":0.000012631637,"teacher_disagreement_score":0.55108625,"about_ca_system_score_codex":0.00006576148,"about_ca_system_score_gemma":0.00003384902,"threshold_uncertainty_score":0.55491793},"labels":[],"label_agreement":null},{"id":"W2141313702","doi":"10.1016/j.camwa.2009.04.010","title":"On nonoscillation of mixed advanced-delay differential equations with positive and negative coefficients","year":2009,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Delay differential equation; Mathematical analysis; Differential equation; Applied mathematics","score_opus":0.0208639585281504,"score_gpt":0.3037137174222955,"score_spread":0.2828497588941451,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2141313702","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11031441,0.000008429502,0.88746023,0.00013792867,0.000022878008,0.0010820092,0.000032488373,0.00006957825,0.0008720245],"genre_scores_gemma":[0.61533123,0.0000033845392,0.38446036,0.00002535417,0.000015693968,0.00009262979,0.000019657298,0.00001710365,0.00003457265],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986539,0.0000650797,0.00041108625,0.00032474994,0.0003458789,0.00019930846],"domain_scores_gemma":[0.9968887,0.001913445,0.00040644582,0.00041753266,0.0002602609,0.00011359393],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011258708,0.0002442997,0.00040138967,0.00015944956,0.00020455701,0.00004921271,0.00016651339,0.000059052272,0.000013295159],"category_scores_gemma":[0.00010035727,0.00017770121,0.000049796512,0.0004724767,0.0001614761,0.00009221274,0.00003299432,0.0001270598,0.0000045028373],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011274511,0.0015500603,0.000014343569,0.0000893497,0.00010915579,7.785236e-7,0.0013510728,0.0013317476,0.0006901155,0.9226469,0.000049273858,0.0720545],"study_design_scores_gemma":[0.0039320854,0.0033913215,0.004046441,0.0009331706,0.0005859116,0.000024387944,0.000548477,0.17461562,0.0049884245,0.80589974,0.000098091026,0.0009363603],"about_ca_topic_score_codex":0.000002564992,"about_ca_topic_score_gemma":0.0000038579174,"teacher_disagreement_score":0.5050168,"about_ca_system_score_codex":0.00004087631,"about_ca_system_score_gemma":0.000034834244,"threshold_uncertainty_score":0.72464454},"labels":[],"label_agreement":null},{"id":"W2142338126","doi":"10.1016/s0377-0427(02)00716-1","title":"On the attainable order of collocation methods for pantograph integro-differential equations","year":2003,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Collocation (remote sensing); Differential equation; Degree (music); Polynomial; Order (exchange); Collocation method; Mathematical analysis; Orthogonal collocation; Combinatorics; Physics; Ordinary differential equation","score_opus":0.07570045170218564,"score_gpt":0.3926641125866758,"score_spread":0.31696366088449013,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142338126","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.025853813,0.00003043735,0.97230405,0.0001945077,0.00008777383,0.0003654657,0.000004971574,0.0000065855997,0.0011523721],"genre_scores_gemma":[0.29194412,0.000004633657,0.7078885,0.000035678797,0.000024304089,0.000025022619,0.0000019460933,0.000012454312,0.000063349864],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986613,0.00012840724,0.0007320572,0.00008891844,0.00027062738,0.00011872038],"domain_scores_gemma":[0.9883824,0.010147459,0.0007469915,0.00010961554,0.0005611013,0.00005240445],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014382104,0.00013236562,0.0003729325,0.00014067409,0.00014595196,0.00003915967,0.00012245981,0.000054552675,0.0000754942],"category_scores_gemma":[0.0023857492,0.00008099626,0.00012674699,0.00029435617,0.0000889957,0.000042912656,0.00001585802,0.00013039834,6.966259e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027032855,0.0003877053,7.1234e-7,0.0001313417,0.000102738035,5.3868153e-8,0.00041189895,0.0012432489,0.0009544302,0.99027675,0.00029949358,0.006164581],"study_design_scores_gemma":[0.0005409134,0.00016140063,0.00001734396,0.00005876793,0.0001255327,0.000006597458,0.00061188085,0.026029702,0.002531671,0.9695867,0.0002494433,0.00008009519],"about_ca_topic_score_codex":3.711359e-7,"about_ca_topic_score_gemma":1.9051268e-7,"teacher_disagreement_score":0.2660903,"about_ca_system_score_codex":0.000017393802,"about_ca_system_score_gemma":0.00008243992,"threshold_uncertainty_score":0.33029318},"labels":[],"label_agreement":null},{"id":"W2142902590","doi":"10.1109/cdc.1992.370988","title":"Recursive approach to the optimal control problems for singularly perturbed bilinear systems","year":2005,"lang":"en","type":"article","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Optimal control; Bilinear interpolation; Nonlinear system; Algebraic number; Order (exchange); Mathematics; Applied mathematics; Algebraic equation; Computer science; Mathematical optimization; Mathematical analysis","score_opus":0.08231553286748425,"score_gpt":0.3422637055694678,"score_spread":0.25994817270198356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142902590","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0022074936,0.000078912635,0.98821187,0.002540626,0.00016561,0.0023076735,0.000021173777,0.00008337436,0.0043832827],"genre_scores_gemma":[0.2053546,0.0000013748561,0.78819543,0.0004413603,0.0005209642,0.00073129573,0.000006909591,0.000034042827,0.004713993],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988052,0.00015515008,0.00033399113,0.0002407636,0.0001988707,0.00026600482],"domain_scores_gemma":[0.99835145,0.0009668068,0.00008795734,0.00030541467,0.00018969928,0.00009865221],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007927019,0.0001465121,0.00028518456,0.00004617453,0.00014996804,0.00013611653,0.00022852185,0.000070101225,0.000021540822],"category_scores_gemma":[0.00097578525,0.00008022605,0.00012554141,0.0001581642,0.000028386403,0.00006971117,0.00002554641,0.00009083048,0.00002423189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020728086,0.0012467019,0.0000071539225,0.0002544317,0.00027957864,2.1272915e-7,0.0026397188,0.019092316,0.0016141416,0.918064,0.021363392,0.03523105],"study_design_scores_gemma":[0.0013638387,0.00039174827,0.000008490234,0.000038224905,0.00016266647,0.000006613434,0.00082739536,0.853104,0.00035246398,0.0121757565,0.1312563,0.0003125061],"about_ca_topic_score_codex":0.000022383856,"about_ca_topic_score_gemma":0.0000050977724,"teacher_disagreement_score":0.90588826,"about_ca_system_score_codex":0.000040378876,"about_ca_system_score_gemma":0.00002459188,"threshold_uncertainty_score":0.3271523},"labels":[],"label_agreement":null},{"id":"W2145463761","doi":"10.1016/j.apm.2009.08.027","title":"Nicholson’s blowflies differential equations revisited: Main results and open problems","year":2009,"lang":"en","type":"article","venue":"Applied Mathematical Modelling","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":267,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Vancouver Island University; University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Oscillation (cell signaling); Differential equation; Applied mathematics; Delay differential equation; Stability (learning theory); Mathematical analysis; Calculus (dental); Computer science","score_opus":0.1362856887989229,"score_gpt":0.3618969431016722,"score_spread":0.2256112543027493,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145463761","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.007579369,0.0000418538,0.96049017,0.0005377359,0.000029360453,0.0012329391,0.000022984575,0.00015307886,0.029912537],"genre_scores_gemma":[0.59004223,0.000032793967,0.40891477,0.00010520551,0.000076325094,0.00010149027,0.000020103054,0.000033952016,0.0006730984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997501,0.00010551098,0.00096507656,0.00057561055,0.00039754415,0.00045526994],"domain_scores_gemma":[0.9972218,0.0016350821,0.00025476242,0.0006013606,0.00006265247,0.00022433687],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00096242165,0.00033703694,0.0007221191,0.00011276751,0.00029706367,0.00043776317,0.000484257,0.00016636716,0.00014280558],"category_scores_gemma":[0.0005184141,0.00027370008,0.000095209805,0.00027576537,0.000085554864,0.00018970072,0.0002396356,0.00031163453,0.00004453903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006385526,0.00043011125,1.8602478e-7,0.000120627796,0.000035497964,0.0000011680949,0.0007250663,0.00047415495,0.0011970402,0.9846615,0.00023378871,0.012056993],"study_design_scores_gemma":[0.00076191995,0.00007110387,0.0000034103034,0.00015711813,0.000106878164,0.000003228032,0.000074469965,0.21934327,0.00024664158,0.7787918,0.00016461233,0.00027558196],"about_ca_topic_score_codex":0.00000526148,"about_ca_topic_score_gemma":0.000001182183,"teacher_disagreement_score":0.5824629,"about_ca_system_score_codex":0.000038978043,"about_ca_system_score_gemma":0.000024574076,"threshold_uncertainty_score":0.9999715},"labels":[],"label_agreement":null},{"id":"W2155951397","doi":"10.1080/00207160108805067","title":"A parallel numerical algorithm for fredholm integro-differential two-point boundary value problems","year":2001,"lang":"en","type":"article","venue":"International Journal of Computer Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of New Brunswick","funders":"","keywords":"Mathematics; Boundary value problem; Nonlinear system; Fredholm theory; Fredholm integral equation; Differential equation; Numerical analysis; Mathematical analysis; Algorithm; Integral equation","score_opus":0.05419527125526193,"score_gpt":0.3645561615159993,"score_spread":0.3103608902607374,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2155951397","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0072815223,0.000054643024,0.98843247,0.0008294104,0.0025871247,0.00036433488,0.000026346086,0.000053711243,0.00037046403],"genre_scores_gemma":[0.022457,0.00004322383,0.97503906,0.0001801896,0.001995506,0.00002682019,0.000013034859,0.00005846324,0.00018669442],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99686134,0.00013873371,0.0014957939,0.00022717465,0.000952944,0.0003240134],"domain_scores_gemma":[0.9961101,0.0013392618,0.0010625826,0.00026067713,0.0010343576,0.00019305176],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008011231,0.0003147192,0.0007080645,0.00030531338,0.000095193885,0.00030431908,0.00092821603,0.00010645648,0.00023575687],"category_scores_gemma":[0.0003552283,0.00024517128,0.0005746435,0.0001618278,0.00008618192,0.0003119391,0.00018256831,0.00036978096,0.000014603984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023348327,0.0051132673,0.000056104567,0.0001984397,0.002189964,0.00016147722,0.0027599328,0.0011304973,0.00060901797,0.28848395,0.010719148,0.6883447],"study_design_scores_gemma":[0.0021215645,0.0004005053,0.000031015425,0.00028214653,0.00013217861,0.00070797437,0.00006120939,0.4236001,0.00014449091,0.566513,0.005776198,0.00022959628],"about_ca_topic_score_codex":0.000007011715,"about_ca_topic_score_gemma":0.0000011188827,"teacher_disagreement_score":0.6881151,"about_ca_system_score_codex":0.00014721729,"about_ca_system_score_gemma":0.00012063847,"threshold_uncertainty_score":0.99977946},"labels":[],"label_agreement":null},{"id":"W2164838583","doi":"10.1155/s0161171203211467","title":"Gaussian quadrature rules and <i>A</i>‐stability of Galerkin schemes for ODE","year":2003,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Defence Research and Development Canada; Université de Sherbrooke","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Gaussian quadrature; Clenshaw–Curtis quadrature; Galerkin method; Ode; Quadrature (astronomy); Tanh-sinh quadrature; Gauss–Kronrod quadrature formula; Gauss–Jacobi quadrature; Numerical integration; Gauss–Laguerre quadrature; Ordinary differential equation; Adaptive quadrature; Gaussian; Legendre polynomials; Applied mathematics; Stability (learning theory); Numerical stability; Mathematical analysis; Differential equation; Numerical analysis; Nyström method; Integral equation; Control theory (sociology); Finite element method; Computer science","score_opus":0.08852070989465134,"score_gpt":0.39292868424540717,"score_spread":0.30440797435075584,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2164838583","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46689302,0.00035372432,0.5287895,0.0009761825,0.0002069517,0.00023080743,0.000019757268,0.0000092054515,0.0025208239],"genre_scores_gemma":[0.37471104,0.00006341934,0.62512565,0.000031110747,0.000036688227,0.000005107351,2.763019e-7,0.0000076016354,0.000019097126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824595,0.000067772184,0.0008140838,0.0001472966,0.00056654896,0.00015837041],"domain_scores_gemma":[0.9964331,0.002382646,0.00060798594,0.00010401056,0.00035778797,0.00011446306],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024050502,0.00014251706,0.0004495739,0.00012602984,0.00008336015,0.000104970524,0.00028909228,0.000090991045,0.000112944566],"category_scores_gemma":[0.004435843,0.00009159053,0.0001305107,0.000104369,0.00042745128,0.0001815638,0.000052616524,0.00013787091,5.7687953e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011727279,0.00039515403,0.00008805816,0.0002792898,0.00006778616,0.0000011491603,0.00058986957,2.5695533e-7,0.002347322,0.99187934,0.00007051529,0.004269557],"study_design_scores_gemma":[0.00040291235,0.00019751894,0.000030310583,0.00026509078,0.000064973596,0.00010154553,0.00088990794,0.0012712426,0.008532369,0.9873069,0.00082886516,0.000108346736],"about_ca_topic_score_codex":9.586112e-7,"about_ca_topic_score_gemma":0.0000010724942,"teacher_disagreement_score":0.09633615,"about_ca_system_score_codex":0.00001436314,"about_ca_system_score_gemma":0.000062512816,"threshold_uncertainty_score":0.5310438},"labels":[],"label_agreement":null},{"id":"W2166493386","doi":"10.1002/num.20116","title":"From the fitting techniques to accurate schemes for the Liouville-Bratu-Gelfand problem","year":2005,"lang":"en","type":"article","venue":"Numerical Methods for Partial Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Mathematics; Scheme (mathematics); Applied mathematics; Construct (python library); Mathematical optimization; Mathematical analysis; Computer science","score_opus":0.13646047638668368,"score_gpt":0.46722507172526667,"score_spread":0.330764595338583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2166493386","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00068359444,0.00013248858,0.9800204,0.013901792,0.0006463029,0.0039255777,0.0002469223,0.0002948059,0.00014813147],"genre_scores_gemma":[0.07290579,0.000010635729,0.9175471,0.0007984394,0.0028630053,0.0052913837,0.00007166376,0.00009955481,0.0004124286],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9960642,0.0009684014,0.0011227799,0.00069369917,0.00038656735,0.0007643888],"domain_scores_gemma":[0.96901786,0.029102307,0.0004303047,0.0008293403,0.00036229196,0.00025790944],"candidate_categories":["metaresearch","metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0017779355,0.0004717345,0.0006909067,0.000094753545,0.0013549462,0.00040702353,0.00088258885,0.00021460437,0.00040539552],"category_scores_gemma":[0.01141875,0.00027621762,0.00061662163,0.0006491559,0.00015675594,0.00021784191,0.00024302096,0.00037694603,0.00002174391],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022724346,0.00036825045,0.0000042521033,0.000026948303,0.00025638563,6.435108e-8,0.00079066533,0.000060410497,0.012898776,0.14427476,0.0042116614,0.83688056],"study_design_scores_gemma":[0.0012272538,0.0005142608,0.000068694164,0.000089497415,0.0009798959,9.144742e-7,0.0003122814,0.23764221,0.06633378,0.27652693,0.41554555,0.00075872213],"about_ca_topic_score_codex":0.000115506446,"about_ca_topic_score_gemma":0.000028316184,"teacher_disagreement_score":0.83612186,"about_ca_system_score_codex":0.00008324133,"about_ca_system_score_gemma":0.00008718787,"threshold_uncertainty_score":0.999969},"labels":[],"label_agreement":null},{"id":"W2167361320","doi":"10.1112/s0024610700001332","title":"Estimates for Fundamental Solutions of Second-Order Parabolic Equations","year":2000,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Order (exchange); Parabolic partial differential equation; Mathematics; Applied mathematics; Mathematical analysis; Partial differential equation; Economics","score_opus":0.08295807363577949,"score_gpt":0.36747394215864126,"score_spread":0.28451586852286176,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2167361320","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14643215,0.00018604081,0.85019577,0.0016323567,0.00017961307,0.00046440912,0.000046937097,0.000019230512,0.00084348064],"genre_scores_gemma":[0.25098482,0.000023232566,0.7468158,0.00016301146,0.00015279501,0.000027245067,0.000001557058,0.000032100175,0.0017994518],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982962,0.000101722944,0.0008817695,0.00009599224,0.00037345773,0.0002508721],"domain_scores_gemma":[0.9961649,0.002733636,0.0005110953,0.00025882642,0.00023859325,0.0000929203],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010019421,0.00014636203,0.00048448963,0.000024863728,0.00023561913,0.000036883448,0.0003429366,0.00009441685,0.0027533097],"category_scores_gemma":[0.0013749497,0.000088415494,0.0008525154,0.00026792282,0.0001899943,0.000122632,0.000049822986,0.00021692633,0.00000994553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015255551,0.0039573233,0.00013529533,0.0012650866,0.0013615907,6.8767554e-7,0.0042336425,0.0004160071,0.0131452205,0.92656124,0.02021272,0.02855861],"study_design_scores_gemma":[0.0008035181,0.00013506842,0.00018192345,0.00014325186,0.000355465,0.000020146677,0.00022181962,0.016615637,0.0015551022,0.9786883,0.0011615595,0.00011821582],"about_ca_topic_score_codex":0.0000013212465,"about_ca_topic_score_gemma":0.0000012704377,"teacher_disagreement_score":0.10455267,"about_ca_system_score_codex":0.00005440495,"about_ca_system_score_gemma":0.00007518635,"threshold_uncertainty_score":0.99815834},"labels":[],"label_agreement":null},{"id":"W2220780397","doi":"10.1016/s0967-0653(98)81975-3","title":"10.1016/s0967-0653(98)81975-3","year":2000,"lang":"en","type":"article","venue":"Time to knit","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Frequency domain; Geology; Finite difference; Domain (mathematical analysis); Mathematics; Mathematical analysis","score_opus":0.029036531725813806,"score_gpt":0.2669078847471474,"score_spread":0.23787135302133358,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2220780397","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0001804682,0.000013547213,0.0005441215,0.00019686567,0.000002461267,0.00018212834,0.000009743864,0.00015316236,0.9987175],"genre_scores_gemma":[0.000023819008,1.5472955e-7,0.022161415,0.000026979262,0.000120739314,0.000026970234,0.000006125537,0.000030051237,0.97760373],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.999024,0.00010158838,0.00023787653,0.00019821723,0.00019554792,0.00024278263],"domain_scores_gemma":[0.99915105,0.0002780539,0.00003756574,0.00033872266,0.000041554664,0.00015307049],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00023057322,0.00014001629,0.00023954998,0.000058579044,0.00007455961,0.000046176876,0.0001948024,0.00006479417,0.99939144],"category_scores_gemma":[0.00024814316,0.000121745434,0.000087078224,0.00024208242,0.000025997399,0.00006316442,0.0000377242,0.000101034864,0.9976566],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003179332,0.000114174145,3.9676165e-9,0.000009099996,0.000017336537,0.0000013384825,0.000018999093,0.0000040653176,0.000014989414,0.00011456426,0.17009912,0.8295745],"study_design_scores_gemma":[0.00017197916,0.00011415553,0.000002604297,0.00001729228,0.000034637487,0.0000020034263,0.0000010049531,0.00039055178,0.00013586585,0.004901925,0.99406034,0.00016766187],"about_ca_topic_score_codex":0.000013289795,"about_ca_topic_score_gemma":1.2840643e-7,"teacher_disagreement_score":0.82940686,"about_ca_system_score_codex":0.0000235248,"about_ca_system_score_gemma":0.000014630411,"threshold_uncertainty_score":0.49646345},"labels":[],"label_agreement":null},{"id":"W2241076483","doi":"10.1109/embc.2015.7379762","title":"Sensitivity exploratory analysis of the scalar wave P<sub>1/3</sub> model to absorptive inclusions in biological media","year":2015,"lang":"en","type":"article","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bishop's University","funders":"","keywords":"Sensitivity (control systems); Scalar (mathematics); Physics; Mathematics; Engineering; Electronic engineering","score_opus":0.22282412933198822,"score_gpt":0.3597271386462681,"score_spread":0.13690300931427987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2241076483","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.68652195,0.0000031418872,0.31253892,0.00022575949,0.000041430972,0.00014101442,0.000022846954,0.000019472309,0.00048546793],"genre_scores_gemma":[0.9559154,0.000003451499,0.043864768,0.00015765685,0.000013927631,0.000019711159,0.000004035073,0.000008070408,0.000012981824],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99831903,0.0006299564,0.0003547044,0.0002196433,0.0002982826,0.00017836281],"domain_scores_gemma":[0.9979821,0.0012161079,0.0000969713,0.00036462853,0.00018159316,0.00015859492],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013536122,0.00012723061,0.00045288235,0.00023878981,0.000046787667,0.00000856162,0.00011671463,0.00010556855,0.000018637882],"category_scores_gemma":[0.0034246556,0.00007334258,0.00017960987,0.0015185097,0.00009165888,0.000054544023,0.00042932943,0.00014019094,0.000007128068],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004063483,0.0045995717,0.00832607,0.000043053224,0.0014971931,0.000027340644,0.038878694,0.03851445,0.5284323,0.32230383,0.0020009552,0.054970156],"study_design_scores_gemma":[0.00043363989,0.00008155743,0.017491166,0.000030505737,0.00045352898,6.573766e-7,0.0019964438,0.6202961,0.06613915,0.29275692,0.00001158642,0.00030872723],"about_ca_topic_score_codex":0.00003863097,"about_ca_topic_score_gemma":0.0007763237,"teacher_disagreement_score":0.5817817,"about_ca_system_score_codex":0.00007031345,"about_ca_system_score_gemma":0.000060860413,"threshold_uncertainty_score":0.40998802},"labels":[],"label_agreement":null},{"id":"W2260920174","doi":"","title":"Singular perturbations in coupled stochastic differential equations","year":2001,"lang":"en","type":"dissertation","venue":"Library and Archives Canada (Government of Canada)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Stochastic differential equation; Mathematics; Applied mathematics; Mathematical analysis; Computer science","score_opus":0.012444364778966623,"score_gpt":0.22313825441248708,"score_spread":0.21069388963352045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2260920174","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45900196,0.00094923744,0.20593356,0.0024036292,0.0028093304,0.0020972602,0.0006851387,0.0000835927,0.3260363],"genre_scores_gemma":[0.9369436,0.00006207777,0.0047934237,0.00009680993,0.00008659981,0.00005190852,0.00023762403,0.00005715603,0.057670813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973621,0.00011534193,0.0005646154,0.0002932305,0.001374852,0.00028989703],"domain_scores_gemma":[0.99785256,0.0014142576,0.00031904352,0.0002329487,0.0000016291849,0.00017955108],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000013337292,0.00028764203,0.00048994686,0.00007943019,0.0001668879,0.000034571454,0.00020613412,0.00007924361,0.00024788154],"category_scores_gemma":[0.00008117939,0.00028278897,0.000056965586,0.00017190969,0.000037722315,0.00015342057,0.000045590656,0.00026478586,3.1538294e-9],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00072231155,0.0003890797,0.00038790682,0.00081642927,0.00026609557,0.00005275609,0.0006240124,0.00026234117,0.012211929,0.96031964,0.0003095831,0.023637895],"study_design_scores_gemma":[0.003313379,0.00036346875,0.052240226,0.002618851,0.000885602,0.0000089987325,0.015159758,0.32494822,0.012518855,0.58201987,0.0031080716,0.0028147076],"about_ca_topic_score_codex":0.0024346993,"about_ca_topic_score_gemma":0.07657949,"teacher_disagreement_score":0.47794163,"about_ca_system_score_codex":0.000014392169,"about_ca_system_score_gemma":0.0013324808,"threshold_uncertainty_score":0.99996245},"labels":[],"label_agreement":null},{"id":"W2268798605","doi":"10.4134/bkms.b180221","title":"A note on boundary blow-up problem of ∆u = u p","year":2002,"lang":"en","type":"article","venue":"University of Minnesota Digital Conservancy (University of Minnesota)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Boundary (topology); Mathematical analysis; Combinatorics; Pure mathematics","score_opus":0.04279402156689197,"score_gpt":0.244004991519339,"score_spread":0.20121096995244703,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2268798605","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9416028,0.00012108648,0.014819775,0.0012354812,0.00013719413,0.00045320884,0.00050639646,0.00008762884,0.041036393],"genre_scores_gemma":[0.9405642,0.00020056778,0.04765172,0.000023265215,0.000018567433,8.785883e-8,0.00002868555,0.000032143344,0.011480729],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99824715,0.00013247026,0.00034041022,0.00042932102,0.0005139691,0.00033665495],"domain_scores_gemma":[0.9973185,0.000840314,0.0006426568,0.00058328244,0.00043220518,0.00018303489],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00021069513,0.00028976513,0.0007920997,0.00036385749,0.00023504165,0.000017316546,0.000724503,0.0002029684,0.0016363593],"category_scores_gemma":[0.00018925931,0.00036946317,0.00044785373,0.0006339711,0.0008597397,0.00069849857,0.00028977654,0.0002085766,0.000055451597],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.006335793,0.016062733,0.012268223,0.005951527,0.0024932446,0.00077423145,0.04264632,0.00007093441,0.012006177,0.20240042,0.11391823,0.58507216],"study_design_scores_gemma":[0.033536084,0.009494937,0.016083755,0.0050163683,0.0034182647,0.00013357858,0.05555381,0.015490096,0.008135953,0.13891345,0.7085754,0.0056482595],"about_ca_topic_score_codex":0.00020793921,"about_ca_topic_score_gemma":0.00014434705,"teacher_disagreement_score":0.5946572,"about_ca_system_score_codex":0.00007203866,"about_ca_system_score_gemma":0.00008024631,"threshold_uncertainty_score":0.9998757},"labels":[],"label_agreement":null},{"id":"W2296578471","doi":"10.5539/jmr.v8n2p16","title":"Solving Third-Order Singularly Perturbed Problems: Exponentially and Polynomially Fitted Trial Functions","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Hohai University; Ministry of Science and Technology, Taiwan; National Science Council","keywords":"Mathematics; Third order; Order (exchange); Exponential growth; Boundary (topology); Singular perturbation; Mathematical analysis; Boundary value problem; Singular solution; Applied mathematics","score_opus":0.22154422833261447,"score_gpt":0.433631878813888,"score_spread":0.2120876504812735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2296578471","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38282582,0.00017426,0.61185527,0.002410234,0.0004496408,0.0006345661,0.0000065546087,0.00003346859,0.0016101882],"genre_scores_gemma":[0.39004895,0.00030436093,0.59861094,0.000038255926,0.001277419,0.000058046888,0.0000011304156,0.00012811334,0.009532787],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961402,0.0006661426,0.0011698082,0.00021025853,0.0013381706,0.0004754209],"domain_scores_gemma":[0.9917377,0.0056908615,0.0005461042,0.00037064467,0.0013928994,0.00026177536],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.006501416,0.00019492884,0.0005805039,0.00055346487,0.00030857252,0.00026585924,0.00038105506,0.00016053734,0.00038175995],"category_scores_gemma":[0.013451899,0.00011404711,0.00019247862,0.00043445168,0.00023072389,0.00034414654,0.0001868222,0.0005333698,0.000024456576],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.010680561,0.010032557,0.000119732016,0.002024288,0.002025736,0.00013033909,0.013019726,0.000010331694,0.594559,0.12553744,0.030038191,0.21182206],"study_design_scores_gemma":[0.04004684,0.004215633,0.00012456797,0.0022477882,0.00037274443,0.0002847819,0.0026014599,0.0020645855,0.004068229,0.93576163,0.0075325216,0.0006792098],"about_ca_topic_score_codex":0.0000088091965,"about_ca_topic_score_gemma":0.000009602839,"teacher_disagreement_score":0.8102242,"about_ca_system_score_codex":0.000111478825,"about_ca_system_score_gemma":0.00030953245,"threshold_uncertainty_score":0.9948582},"labels":[],"label_agreement":null},{"id":"W2332766801","doi":"10.1017/s0308210512001151","title":"Rupture solutions of an elliptic equation with a singular nonlinearity","year":2014,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Elliptic curve; Nonlinear system; Mathematics; Mathematical analysis; Physics","score_opus":0.04507065662042829,"score_gpt":0.2930427082313182,"score_spread":0.24797205161088992,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2332766801","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5932565,0.000013232579,0.40463865,0.00015015465,0.0001426498,0.00036861814,0.0000066073126,0.000049835355,0.001373813],"genre_scores_gemma":[0.5755222,0.000003152705,0.42399377,0.000013588131,0.00013898207,0.000013357915,0.0000016724986,0.000021153142,0.0002921443],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9983235,0.00002257817,0.0006524391,0.00019265634,0.0006045491,0.00020428449],"domain_scores_gemma":[0.9974893,0.00035129482,0.0010829449,0.00022289161,0.00078764313,0.000065939246],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013497911,0.00018926203,0.00048481365,0.00004823928,0.00017430572,0.00002426455,0.00029479477,0.00017121376,0.000068308254],"category_scores_gemma":[0.00091026846,0.00012781688,0.00031558314,0.00046631924,0.00025942374,0.00014387711,0.0000926071,0.00023331167,1.5612508e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003889807,0.017948857,0.0030130683,0.015290985,0.00213368,1.1729497e-7,0.050870016,0.0038508403,0.28594986,0.59275717,0.011384929,0.016411541],"study_design_scores_gemma":[0.0007472621,0.00067586405,0.00029161404,0.0006215815,0.0005418547,0.0000047847334,0.0024682893,0.67777395,0.043707717,0.27270558,0.00020836401,0.00025314314],"about_ca_topic_score_codex":0.000032565258,"about_ca_topic_score_gemma":0.0000019438069,"teacher_disagreement_score":0.67392313,"about_ca_system_score_codex":0.000041823583,"about_ca_system_score_gemma":0.00003563714,"threshold_uncertainty_score":0.5212221},"labels":[],"label_agreement":null},{"id":"W2354777429","doi":"","title":"Fourth order boundary value problem with Caratheodory function","year":2000,"lang":"en","type":"article","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Discovery Air (Canada)","funders":"","keywords":"Mathematics; Order (exchange); Combinatorics; Function (biology); Boundary value problem; Fixed-point theorem; Value (mathematics); Upper and lower bounds; Mathematical analysis","score_opus":0.03214414505652271,"score_gpt":0.3051393482536598,"score_spread":0.2729952031971371,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2354777429","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.108629234,0.000015267582,0.7252582,0.0001832754,0.0000546017,0.00023397333,0.0000016410801,0.00016799648,0.16545583],"genre_scores_gemma":[0.11268401,0.000012329889,0.83203113,0.0002788919,0.00012393852,0.00006211853,0.00000778061,0.00004765014,0.05475215],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991564,0.00010736496,0.00017697125,0.00018479482,0.00019594564,0.00017847981],"domain_scores_gemma":[0.99944687,0.00015544152,0.000038978655,0.00022779532,0.00006566023,0.000065268265],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002167345,0.00012391055,0.00016518902,0.000036797377,0.00012276332,0.000058457463,0.00007087747,0.000051683266,0.007377522],"category_scores_gemma":[0.000025503161,0.000079654936,0.00004182841,0.00025280108,0.000049807386,0.00011189048,0.000010893246,0.00010323181,0.00014442609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002954851,0.0005404836,0.00016031456,0.00007512168,0.00015161294,0.000004263772,0.00049809436,0.00014909086,0.000425033,0.32125366,0.003928469,0.6725184],"study_design_scores_gemma":[0.0011318874,0.0008898054,0.00076076505,0.000056734913,0.00021323901,0.000018029648,0.00015889328,0.00775653,0.00061599474,0.92257696,0.06534224,0.00047891866],"about_ca_topic_score_codex":0.000054581735,"about_ca_topic_score_gemma":0.000025715784,"teacher_disagreement_score":0.67203945,"about_ca_system_score_codex":0.000018860803,"about_ca_system_score_gemma":0.000048739428,"threshold_uncertainty_score":0.99352986},"labels":[],"label_agreement":null},{"id":"W2378814829","doi":"","title":"THE FINITE DIFFERENCE METHOD OF A CLASS OF TWO-DIMENSIONAL STABLESTATE CONVECTION-DIFFUSION EQUATION","year":2009,"lang":"en","type":"article","venue":"Journal of Chaohu College","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Finite element method; Ellipse; Mathematical analysis; Numerical solution of the convection–diffusion equation; Convection–diffusion equation; Diffusion equation; Finite difference method; Variable (mathematics); Class (philosophy); Numerical analysis; Boundary value problem; Diffusion; Finite difference; Finite difference coefficient; Applied mathematics; Mixed finite element method; Geometry; Physics; Computer science; Engineering; Thermodynamics","score_opus":0.06168462078098362,"score_gpt":0.36848361148486575,"score_spread":0.3067989907038821,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2378814829","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36206013,0.00012354167,0.63547504,0.0010054109,0.00045959535,0.0002283798,0.000029016504,0.000008738277,0.00061012787],"genre_scores_gemma":[0.8468075,0.0000623857,0.15244919,0.000051910392,0.00009443613,0.0000024566748,0.0000010962895,0.000010997731,0.00052006595],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997449,0.0005388251,0.0011004648,0.00010286704,0.00064089306,0.00016794178],"domain_scores_gemma":[0.9930494,0.0044258847,0.0015084182,0.0002039945,0.0007279045,0.00008441817],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019544372,0.00013755707,0.0005081579,0.00017799714,0.0001337951,0.000016785365,0.00021446936,0.000065128865,0.000060858285],"category_scores_gemma":[0.0016721947,0.00008509089,0.00021298032,0.00042450195,0.00007302503,0.00010702817,0.000033687964,0.00022530278,7.6952745e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0018191158,0.0020300027,0.00021154153,0.00016903036,0.00034091293,0.00001608562,0.0012874644,0.002754237,0.22970818,0.59863186,0.0010064784,0.16202511],"study_design_scores_gemma":[0.0026443447,0.0016869782,0.0031725045,0.00032934587,0.00022612228,0.000052394502,0.00030226682,0.07824226,0.031784434,0.8806893,0.00067428406,0.00019576121],"about_ca_topic_score_codex":0.000011049256,"about_ca_topic_score_gemma":0.0000059020986,"teacher_disagreement_score":0.48474732,"about_ca_system_score_codex":0.000048179736,"about_ca_system_score_gemma":0.00015149992,"threshold_uncertainty_score":0.3469906},"labels":[],"label_agreement":null},{"id":"W2381793948","doi":"","title":"LARGE SOLUTION OF SEMILINEAR ELLIPTIC EQUATIONS WITH GRADIENT TERMS","year":2005,"lang":"en","type":"article","venue":"Chinese Annals of Mathematics,series A","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Explosive material; Bounded function; Domain (mathematical analysis); Boundary value problem; Mathematical analysis; Nonlinear system; Boundary (topology); Space (punctuation); Elliptic curve; Physics; Computer science","score_opus":0.08680574415957915,"score_gpt":0.3773064013040103,"score_spread":0.29050065714443113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2381793948","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58223075,0.00015508784,0.41370985,0.0009254497,0.000060769216,0.00037608726,0.000061590945,0.00006451478,0.0024158997],"genre_scores_gemma":[0.78022736,0.000069106,0.21870911,0.000032857446,0.00008420417,0.0000310219,0.000013883523,0.00003526779,0.00079715013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982337,0.00007442902,0.0008211216,0.00018939302,0.0003891008,0.00029226515],"domain_scores_gemma":[0.9978801,0.00060821767,0.0005558887,0.00053763326,0.00032302138,0.000095156945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006879934,0.00023942615,0.0006276083,0.00014599421,0.00009332639,0.000018452316,0.00022614273,0.00007636058,0.00022686305],"category_scores_gemma":[0.001398431,0.00016052958,0.0001880408,0.0003667815,0.00016113919,0.0002464599,0.000078735735,0.00010941703,0.0000138793175],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017420038,0.0067899073,0.0008341424,0.003557023,0.0005249447,0.0000031160525,0.015849322,0.0003134916,0.011227014,0.9545102,0.0012443126,0.004972327],"study_design_scores_gemma":[0.0011964742,0.001181668,0.0005495536,0.00079249707,0.00023515863,0.000018131066,0.0013530798,0.043704484,0.032185726,0.9169595,0.001217615,0.00060608773],"about_ca_topic_score_codex":0.000007476476,"about_ca_topic_score_gemma":0.000052042782,"teacher_disagreement_score":0.19799663,"about_ca_system_score_codex":0.0000120400255,"about_ca_system_score_gemma":0.000032896474,"threshold_uncertainty_score":0.65462065},"labels":[],"label_agreement":null},{"id":"W2388698249","doi":"","title":"Positive Periodic Solution of Fourth-order Ordinary Differential Equations","year":2007,"lang":"en","type":"article","venue":"Journal of Hexi University","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Ordinary differential equation; Mathematics; Order (exchange); Applied mathematics; Mathematical analysis; Differential equation; Economics","score_opus":0.045892787962657985,"score_gpt":0.3198497352011553,"score_spread":0.2739569472384973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2388698249","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40490758,0.000013661052,0.59400123,0.00010544137,0.00014621898,0.000041359093,0.000005905606,0.000005029135,0.0007735702],"genre_scores_gemma":[0.906047,0.00001308684,0.09348013,0.000006065933,0.00007677595,2.3978721e-8,0.0000017904943,0.000006192061,0.00036893412],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9990263,0.00015028253,0.00033038767,0.00007469971,0.00027407397,0.00014426181],"domain_scores_gemma":[0.9981626,0.0006614336,0.0004932287,0.00010472723,0.00048152648,0.000096456584],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000490455,0.00008685757,0.00026346472,0.0002546007,0.00013732038,0.000008652876,0.00015118123,0.000072436684,0.00020839536],"category_scores_gemma":[0.00042142387,0.000078554396,0.00018540602,0.00029866453,0.0000888332,0.00019174456,0.000056863322,0.00018865528,0.000002108222],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.008059377,0.010029831,0.010224175,0.00049680227,0.0028702493,0.0009370487,0.01582535,0.00033210372,0.23181975,0.47085467,0.0057164384,0.24283421],"study_design_scores_gemma":[0.02974604,0.014590799,0.4601901,0.0022012661,0.008249498,0.0009155266,0.029749328,0.045005757,0.07581243,0.31753188,0.012448788,0.0035586194],"about_ca_topic_score_codex":0.000038661103,"about_ca_topic_score_gemma":0.000019617682,"teacher_disagreement_score":0.5011394,"about_ca_system_score_codex":0.00010773788,"about_ca_system_score_gemma":0.00007920439,"threshold_uncertainty_score":0.32033554},"labels":[],"label_agreement":null},{"id":"W2461739182","doi":"10.4208/aamm.2013.m362","title":"High-Order Finite Volume Methods for Aerosol Dynamic Equations","year":2016,"lang":"en","type":"article","venue":"Advances in Applied Mathematics and Mechanics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Aerosol; Finite volume method; Interpolation (computer graphics); Nonlinear system; Dynamic equation; Finite element method; Applied mathematics; Mechanics; Mathematics; Physics; Meteorology; Classical mechanics; Thermodynamics","score_opus":0.034927294956606555,"score_gpt":0.38161873750987424,"score_spread":0.34669144255326767,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2461739182","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0002752549,0.00024302775,0.9975991,0.000234994,0.00024608284,0.00081624533,0.000034416436,0.000075897406,0.00047493316],"genre_scores_gemma":[0.01806732,0.0007044298,0.9801683,0.000051175484,0.000029289682,0.0005826044,0.000006674161,0.00005499444,0.00033523148],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985285,0.000041183244,0.0005911368,0.0003457852,0.00014852828,0.0003449086],"domain_scores_gemma":[0.9944136,0.0047723055,0.00026376615,0.00037688314,0.00008453254,0.00008887278],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009829906,0.00024362336,0.00049687887,0.00011854636,0.000113327435,0.000033747212,0.00018791755,0.00012456797,0.000073025854],"category_scores_gemma":[0.0018705188,0.00017111619,0.000067075714,0.00026676297,0.0000457251,0.00012893017,0.000095748575,0.00009612316,0.000009261784],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008268875,0.00011602418,8.861559e-8,0.00013755991,0.000011769813,1.14072854e-7,0.0000889316,0.00001700415,0.010502081,0.6698494,0.000005627333,0.31926313],"study_design_scores_gemma":[0.0007698157,0.000084742824,1.5992234e-7,0.000093284936,0.000056737696,7.718184e-7,0.00011688298,0.099844955,0.0030021963,0.8931869,0.0026008617,0.00024268906],"about_ca_topic_score_codex":0.000001020723,"about_ca_topic_score_gemma":0.000014969577,"teacher_disagreement_score":0.31902042,"about_ca_system_score_codex":0.000048442304,"about_ca_system_score_gemma":0.00002580862,"threshold_uncertainty_score":0.6977916},"labels":[],"label_agreement":null},{"id":"W2477086285","doi":"10.1090/coll/057/27","title":"Differential-difference equations","year":2010,"lang":"en","type":"book-chapter","venue":"Colloquium Publications - American Mathematical Society/Colloquium Publications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Differential (mechanical device); Applied mathematics; Mathematics; Environmental science; Physics; Thermodynamics","score_opus":0.07233496266530827,"score_gpt":0.3482300054898815,"score_spread":0.2758950428245732,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2477086285","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00027358416,0.00009173471,0.5232011,0.015957965,0.0006925784,0.0036987045,0.0012132458,0.002374171,0.45249695],"genre_scores_gemma":[0.0069434447,0.00022416696,0.25891012,0.00077125354,0.0010772716,0.0045965156,0.0017181259,0.0007304368,0.7250287],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9887081,0.00033088506,0.0036634512,0.0027385037,0.002571244,0.0019878552],"domain_scores_gemma":[0.97880286,0.0074033258,0.0034161648,0.0055952673,0.0030515448,0.0017308351],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0013504243,0.0021598851,0.0030991312,0.0013187745,0.0025111898,0.0018095451,0.0036464336,0.0017290593,0.020181077],"category_scores_gemma":[0.0073433975,0.0021132391,0.0026993654,0.0029865806,0.003797465,0.0007795624,0.0012049401,0.0036093707,0.0014834394],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013473607,0.0013811839,0.000015304058,0.000235211,0.0007967961,7.259339e-7,0.00051236874,0.0000012580126,0.0015943927,0.94984806,0.039232634,0.0063685826],"study_design_scores_gemma":[0.00069524685,0.00021866364,0.0002160407,0.00017846802,0.0013833012,0.000025597217,0.00024251049,0.0022597946,0.0001604454,0.69983673,0.2926182,0.002165005],"about_ca_topic_score_codex":0.000051340194,"about_ca_topic_score_gemma":0.000114198694,"teacher_disagreement_score":0.27253172,"about_ca_system_score_codex":0.0009674004,"about_ca_system_score_gemma":0.0018714032,"threshold_uncertainty_score":0.9995669},"labels":[],"label_agreement":null},{"id":"W2478589477","doi":"10.1090/fim/025/05","title":"Hilbert function spaces and Nevanlinna-Pick kernels","year":2009,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Pure mathematics; Function (biology); Hilbert space; Mathematical analysis","score_opus":0.04452659962615937,"score_gpt":0.31453731699795245,"score_spread":0.2700107173717931,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2478589477","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00072133774,0.00015378938,0.13833565,0.0006365881,0.0001276575,0.0007988858,0.0000275192,0.0003760918,0.85882246],"genre_scores_gemma":[0.002965628,0.00014449304,0.24341804,0.0013612772,0.000496549,0.000055497385,0.000016330376,0.00024256966,0.7512996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972616,0.000075715725,0.0008271871,0.0006968818,0.00064377,0.0004948849],"domain_scores_gemma":[0.99676377,0.0014441316,0.0006690259,0.0006617353,0.00012490769,0.00033644203],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004744385,0.00071770826,0.0014127846,0.0000658146,0.00021790665,0.00016103665,0.00025411887,0.00039986783,0.0006645203],"category_scores_gemma":[0.00024353374,0.0005958462,0.0007272195,0.000049880986,0.000985445,0.000058933674,0.0001668533,0.00072841236,0.00013214775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001972769,0.00007091931,9.55071e-7,0.0002114962,0.00029559463,0.0000026699397,0.00047726455,9.7950796e-8,0.00005055187,0.79252815,0.0029613704,0.2033812],"study_design_scores_gemma":[0.00024305341,0.00040904037,0.000015822547,0.00026864602,0.0006074122,0.000010779863,0.00018716602,0.000367073,0.00002170258,0.92816293,0.06906399,0.0006423539],"about_ca_topic_score_codex":0.000014835761,"about_ca_topic_score_gemma":0.0000033350136,"teacher_disagreement_score":0.20273884,"about_ca_system_score_codex":0.000102532904,"about_ca_system_score_gemma":0.0000632991,"threshold_uncertainty_score":0.9996493},"labels":[],"label_agreement":null},{"id":"W2482155261","doi":"10.3934/dcds.2016039","title":"Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type","year":2016,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Polygon mesh; Superconvergence; Galerkin method; Pantograph; Mathematics; Discontinuous Galerkin method; Convergence (economics); Type (biology); Finite element method; Mathematical analysis; Applied mathematics; Geometry; Physics","score_opus":0.049433430732417336,"score_gpt":0.36481824159694515,"score_spread":0.3153848108645278,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2482155261","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15909977,0.00025906955,0.8384918,0.00010599906,0.00056964107,0.0008072244,0.00014960192,0.00007760906,0.0004392977],"genre_scores_gemma":[0.9766751,0.000051151026,0.021700907,0.000013880569,0.00012455422,0.00017154531,0.000023889783,0.000050499777,0.0011884782],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99725837,0.00061927515,0.00088384474,0.00046663918,0.00033479868,0.00043707064],"domain_scores_gemma":[0.99305135,0.005659079,0.0004260957,0.00039906355,0.00027754487,0.00018687797],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083310745,0.00031982458,0.001004436,0.00031436599,0.00013328533,0.00008017619,0.00024140876,0.00021342425,0.000054886263],"category_scores_gemma":[0.0022798039,0.00019515827,0.0003042245,0.0005129707,0.00017957107,0.00008420142,0.00006876779,0.000113322945,0.0000029360697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005751215,0.0008703561,0.001429791,0.00045360546,0.00064946053,0.0000024113112,0.00019153128,0.000002974989,0.029151497,0.5964227,0.00049507135,0.36975554],"study_design_scores_gemma":[0.03478343,0.03292143,0.021107653,0.0072331135,0.007269766,0.00009189868,0.0049125473,0.26680705,0.02169592,0.56796074,0.025815722,0.009400715],"about_ca_topic_score_codex":0.0001287051,"about_ca_topic_score_gemma":0.000013105686,"teacher_disagreement_score":0.81757534,"about_ca_system_score_codex":0.00003370811,"about_ca_system_score_gemma":0.0000213103,"threshold_uncertainty_score":0.79583234},"labels":[],"label_agreement":null},{"id":"W2511829677","doi":"10.1017/s0025557200183408","title":"A seldom used formula for ODEs","year":2008,"lang":"en","type":"article","venue":"The Mathematical Gazette","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Ode; Mathematics; Calculus (dental); Applied mathematics; Medicine","score_opus":0.24483004824114746,"score_gpt":0.40179014259211204,"score_spread":0.15696009435096459,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2511829677","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14859262,0.000017880518,0.84349066,0.0017445129,0.000080438,0.0007457062,0.00000976753,0.000157183,0.0051612486],"genre_scores_gemma":[0.4219946,0.000007119482,0.5720495,0.00040519843,0.00018334339,0.00034427815,0.0000038371268,0.00006732474,0.004944841],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99861777,0.000115664516,0.0004291061,0.00018941629,0.00030024006,0.00034779627],"domain_scores_gemma":[0.9952712,0.0039441553,0.00011463737,0.0005045037,0.000069622794,0.00009584882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007235784,0.00018828586,0.00039322593,0.000039473256,0.00031022355,0.000034748435,0.00032642783,0.00007756919,0.00036022096],"category_scores_gemma":[0.0017898267,0.00010689982,0.00024101554,0.00016808877,0.00017384853,0.000066729684,0.00007138053,0.00014125467,0.00012939388],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042431107,0.0003424177,0.000007943676,0.0001824112,0.00008014083,0.0000027665985,0.0017986441,0.0000028850131,0.0011562122,0.98698896,0.006258192,0.0031369987],"study_design_scores_gemma":[0.000494702,0.000082078186,0.000031126838,0.000036700596,0.000089571244,0.000031192303,0.000066886845,0.008776668,0.0022148045,0.985175,0.0028291696,0.00017209064],"about_ca_topic_score_codex":0.0000017689337,"about_ca_topic_score_gemma":9.04207e-7,"teacher_disagreement_score":0.27340198,"about_ca_system_score_codex":0.000020399846,"about_ca_system_score_gemma":0.000021523796,"threshold_uncertainty_score":0.4359248},"labels":[],"label_agreement":null},{"id":"W2517652345","doi":"10.5539/mas.v10n11p140","title":"A Barycentric Interpolation Collocation Method for Linear Nonlocal Boundary Value Problems","year":2016,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Inner Mongolia University of Technology; Natural Science Foundation of Inner Mongolia; Inner Mongolia University; National Natural Science Foundation of China","keywords":"Interpolation (computer graphics); Lagrange polynomial; Collocation (remote sensing); Mathematics; Boundary value problem; Applied mathematics; Simple (philosophy); Point (geometry); Boundary (topology); Mathematical analysis; Barycentric coordinate system; Order (exchange); Computer science; Geometry; Frame (networking); Polynomial","score_opus":0.061677357972423526,"score_gpt":0.37952609453796954,"score_spread":0.317848736565546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2517652345","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0020544718,0.000009781588,0.9950136,0.00034734962,0.00017080511,0.00083600875,0.000011943042,0.00009067477,0.0014653627],"genre_scores_gemma":[0.4221888,0.0000016668614,0.57731915,0.000059166137,0.000052562984,0.00016300539,0.0000018636772,0.00001357129,0.0002002308],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9984185,0.000057557725,0.0003257691,0.0004440254,0.00041956216,0.00033460488],"domain_scores_gemma":[0.9985004,0.0007558944,0.00014720687,0.00031468616,0.00016416456,0.00011763557],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018317532,0.00013484865,0.00019657295,0.00016979405,0.00033508684,0.00008278845,0.00033180745,0.00006147999,0.000031794374],"category_scores_gemma":[0.0006567503,0.00009026017,0.0000580808,0.0005951941,0.00022768189,0.00020688251,0.00009040701,0.00006228971,0.000018088858],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004460888,0.00011988784,0.000008614834,0.000038780363,0.00000682692,6.551245e-8,0.00037685793,0.00003565998,0.4870712,0.17674899,0.0000757188,0.3354728],"study_design_scores_gemma":[0.00034266702,0.000045200737,0.00003289113,0.000022366652,0.000015515427,8.683217e-7,0.0000142227,0.5998037,0.0109886555,0.38804963,0.00057775184,0.000106573156],"about_ca_topic_score_codex":0.000006813259,"about_ca_topic_score_gemma":0.000003163169,"teacher_disagreement_score":0.599768,"about_ca_system_score_codex":0.00013570624,"about_ca_system_score_gemma":0.00019042852,"threshold_uncertainty_score":0.36807027},"labels":[],"label_agreement":null},{"id":"W2531030367","doi":"","title":"The solution of the nonlinear heat transfer problems having mixed and nonlinear boundary conditions using optimization principles","year":2013,"lang":"en","type":"article","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Heat flux; Nonlinear system; Boundary value problem; Heat transfer; Applied mathematics; Finite element method; Work (physics); Mathematics; Mechanics; Mathematical analysis; Thermodynamics; Physics","score_opus":0.07979454906167771,"score_gpt":0.32539180309787874,"score_spread":0.24559725403620103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2531030367","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37510914,0.00004434511,0.623434,0.00045280272,0.0001105714,0.00051744713,0.00001147715,0.000026408154,0.0002938255],"genre_scores_gemma":[0.39539042,0.000043525273,0.6039562,0.00004583542,0.00006655078,0.000055271827,0.000012975016,0.000029602656,0.0003996058],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9990209,0.00017339473,0.0003576249,0.00012558028,0.00016984365,0.00015267488],"domain_scores_gemma":[0.9991296,0.0004232771,0.0000390108,0.0002227519,0.00014631507,0.000039052906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031330908,0.0001034139,0.00015188793,0.000029544732,0.0005465027,0.00010418673,0.000110337,0.000057997768,0.00011267763],"category_scores_gemma":[0.00023000807,0.00005538458,0.0000726997,0.0001650598,0.00021242499,0.0001567267,0.0000538483,0.00009792072,0.0000012714667],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011826288,0.003705304,0.0055915895,0.0017345723,0.0010474769,9.4706235e-7,0.005832005,0.18296069,0.42761302,0.2985666,0.0008847191,0.071944796],"study_design_scores_gemma":[0.00023683989,0.000039108756,0.0008467309,0.00006844614,0.00007488535,0.0000034134378,0.00015994364,0.9830258,0.004673345,0.010444377,0.00032690645,0.0001002048],"about_ca_topic_score_codex":0.00015554966,"about_ca_topic_score_gemma":0.00006580028,"teacher_disagreement_score":0.8000651,"about_ca_system_score_codex":0.000021827087,"about_ca_system_score_gemma":0.0000438056,"threshold_uncertainty_score":0.4203312},"labels":[],"label_agreement":null},{"id":"W2559766681","doi":"10.5539/apr.v9n1p1","title":"Mathematical Modelling of Spray Combustion-Numerical and Analytical Analysis with application to Engineering Science","year":2016,"lang":"en","type":"article","venue":"Applied Physics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Homotopy analysis method; Convergent series; Ordinary differential equation; Applied mathematics; Combustion; Computer science; Partial differential equation; Convergence (economics); Homotopy; Differential equation; Mathematical analysis; Mathematics","score_opus":0.13792091728789724,"score_gpt":0.41440386051709105,"score_spread":0.2764829432291938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2559766681","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2120717,0.0000012827443,0.7869495,0.000087947235,0.0000027843737,0.00024160072,0.0000029665619,0.000019494131,0.000622706],"genre_scores_gemma":[0.807817,0.0000015153265,0.19204779,0.0000032004828,0.000024607576,0.00006974737,7.965566e-7,0.000013804838,0.000021569083],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9980678,0.000043381697,0.0002584893,0.0003637613,0.0009188507,0.00034774627],"domain_scores_gemma":[0.99736786,0.0016265939,0.00005003948,0.00041939292,0.00031603075,0.00022008755],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013435837,0.00011188296,0.0003349518,0.00033457894,0.00011609254,0.000043470318,0.00023935354,0.000038008737,0.00002030817],"category_scores_gemma":[0.00023226086,0.00007053568,0.00004339181,0.0032456382,0.00033789984,0.00007504124,0.00015115667,0.00014451983,0.000015189079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004337934,0.00018531548,0.000099102406,0.0000507428,0.00009728107,2.118351e-7,0.0001366849,0.009431197,0.035868786,0.9368979,0.0000044559647,0.01718497],"study_design_scores_gemma":[0.00030771742,0.000120982164,0.00030429542,0.000050132578,0.00019489916,6.133108e-7,0.00006477385,0.69439894,0.0447951,0.25952414,0.000021635422,0.000216805],"about_ca_topic_score_codex":0.0000067535907,"about_ca_topic_score_gemma":2.986827e-7,"teacher_disagreement_score":0.6849677,"about_ca_system_score_codex":0.000055643497,"about_ca_system_score_gemma":0.00005380483,"threshold_uncertainty_score":0.28763616},"labels":[],"label_agreement":null},{"id":"W2597935324","doi":"10.5539/jmr.v9n2p146","title":"Boundary Value Problems at Infinite Genus","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Boundary value problem; Genus; Mathematical analysis; Variety (cybernetics); Boundary (topology); Robin boundary condition; Free boundary problem","score_opus":0.39316879213228567,"score_gpt":0.521225085926917,"score_spread":0.1280562937946313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2597935324","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8818582,0.00036844288,0.07839946,0.0019421851,0.0006555084,0.00055419386,0.000012939374,0.000026638205,0.036182404],"genre_scores_gemma":[0.43043402,0.00037117302,0.55750006,0.00002824049,0.0007080171,0.0000234596,0.0000011652752,0.000102367514,0.010831528],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99649215,0.0003858183,0.0009038659,0.00014188305,0.0016327391,0.00044354008],"domain_scores_gemma":[0.99449867,0.002469407,0.000982007,0.0009033453,0.0008980578,0.00024849284],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.00834876,0.00015225341,0.0005151456,0.00032254602,0.0010257253,0.0005111944,0.0011165683,0.00012087663,0.0004221],"category_scores_gemma":[0.010708064,0.000109103516,0.00023052022,0.00013960396,0.0003704092,0.00028513657,0.0005377655,0.0007567413,0.00010709782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032544116,0.00678547,0.0017459268,0.00516635,0.001321346,0.0004666475,0.0136539005,0.000058440346,0.04917942,0.7373333,0.058977406,0.12498636],"study_design_scores_gemma":[0.0007248516,0.00040175454,0.00066825567,0.00046956018,0.00005743702,0.0001699823,0.00025588815,0.0022106748,0.002652758,0.97319263,0.019026585,0.00016963141],"about_ca_topic_score_codex":0.0000132157675,"about_ca_topic_score_gemma":0.000007783232,"teacher_disagreement_score":0.47910058,"about_ca_system_score_codex":0.00017181889,"about_ca_system_score_gemma":0.00018734587,"threshold_uncertainty_score":0.9976252},"labels":[],"label_agreement":null},{"id":"W2604056722","doi":"10.7538/yzk.2013.47.s0.0025","title":"Nodal integral method for convection-diffusion equation in cylindrical geometry","year":2013,"lang":"en","type":"article","venue":"Energy science and technology","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"NODAL; Geometry; Diffusion; Convection; Convection–diffusion equation; Modified nodal analysis; Diffusion equation; Physics; Mathematics; Mathematical analysis; Mechanics; Engineering; Thermodynamics; Biology; Anatomy","score_opus":0.0379904890360504,"score_gpt":0.3527771914782444,"score_spread":0.314786702442194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2604056722","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25943008,0.000015578555,0.73795074,0.0020046718,0.0001385409,0.000119932,5.75508e-7,0.000059670765,0.00028018176],"genre_scores_gemma":[0.6911678,0.000008063748,0.3084291,0.00007228649,0.000020685102,0.00012925545,0.000001104285,0.000005695733,0.00016605311],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990415,0.000037766553,0.0002161634,0.00028441648,0.00016989895,0.00025027705],"domain_scores_gemma":[0.9990732,0.00044882152,0.00006841139,0.0001581544,0.00020056982,0.000050838094],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00070142746,0.000087285734,0.00017590242,0.0007659946,0.00017570452,0.000041718817,0.0001857856,0.00014397036,0.000051315852],"category_scores_gemma":[0.0023784298,0.00006811388,0.000021685655,0.0016768504,0.00032333937,0.00018397541,0.00009740015,0.00011301096,0.000003325663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000027482452,0.000055195742,0.00022997752,0.0000029624043,0.0000016368687,1.6485184e-7,0.000025685493,8.957767e-7,0.013823523,0.7190445,0.000034262634,0.2667784],"study_design_scores_gemma":[0.00029385553,0.00015341687,0.0005687383,0.0000088569,0.000005468221,0.000005689482,0.00019236158,0.116607815,0.0140753705,0.86708665,0.0009016372,0.000100135134],"about_ca_topic_score_codex":0.0002569395,"about_ca_topic_score_gemma":0.000043933713,"teacher_disagreement_score":0.4317377,"about_ca_system_score_codex":0.00006508467,"about_ca_system_score_gemma":0.00005291095,"threshold_uncertainty_score":0.28473744},"labels":[],"label_agreement":null},{"id":"W2611846400","doi":"","title":"STOCHASTIC DYNAMIC MODEL FOR POROUS MEDIA EQUATION DESCRIBING UNDERGROUND RESOURCES","year":2009,"lang":"en","type":"article","venue":"Communications in Applied Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Porous medium; Dynamic equation; Porosity; Mathematical optimization; Computer science; Mathematics; Geotechnical engineering; Engineering; Physics","score_opus":0.22418390228435683,"score_gpt":0.39875662738256334,"score_spread":0.1745727250982065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2611846400","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012231291,0.0001258696,0.98495185,0.0006388984,0.00001043753,0.00034054517,0.000013466491,0.00007843436,0.0016092256],"genre_scores_gemma":[0.6301346,0.000024254845,0.36948362,0.000046516227,0.0000067132337,0.00011413188,0.00012707287,0.0000111049285,0.00005198448],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99864346,0.00012238405,0.0005640806,0.00025331107,0.00019600763,0.00022074305],"domain_scores_gemma":[0.9961903,0.002011958,0.00022959417,0.0014320336,0.00007844364,0.000057631543],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00078190106,0.00015612457,0.00040554247,0.00056221074,0.00026820402,0.00007525644,0.000711918,0.00009403567,0.0000139275535],"category_scores_gemma":[0.0006178972,0.00015662397,0.00016583888,0.0014811631,0.00008080016,0.000064661515,0.00009933748,0.0001776697,0.0000033399724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038596885,0.00069344987,0.000018544606,0.000013227775,0.00031294295,9.527634e-8,0.0034517671,0.09661328,0.00076050963,0.76023585,0.000029112145,0.1378326],"study_design_scores_gemma":[0.00017132911,0.0000072760336,0.000118723474,0.000007222894,0.00046138963,8.009333e-8,0.00027450494,0.57831955,0.0000033431245,0.4205299,0.000007237713,0.00009944767],"about_ca_topic_score_codex":0.000018426614,"about_ca_topic_score_gemma":0.00052065344,"teacher_disagreement_score":0.6179033,"about_ca_system_score_codex":0.0001663591,"about_ca_system_score_gemma":0.000027914408,"threshold_uncertainty_score":0.63869405},"labels":[],"label_agreement":null},{"id":"W2611952085","doi":"","title":"Relative bounded perturbation of abstract cauchy problem","year":2008,"lang":"en","type":"article","venue":"Far East Journal of Mathematical Sciences (FJMS)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Bounded function; Perturbation (astronomy); Mathematics; Cauchy distribution; Pure mathematics; Applied mathematics; Mathematical analysis; Physics; Quantum mechanics","score_opus":0.15235059491545194,"score_gpt":0.3722718921977421,"score_spread":0.21992129728229015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2611952085","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.47227243,0.00015156671,0.49045217,0.0010650166,0.0001592622,0.00031097032,0.0000064334113,0.0000273959,0.03555476],"genre_scores_gemma":[0.5906374,0.000021274323,0.4087873,0.000023536795,0.00007192558,0.0000029321523,2.9564993e-7,0.000010673161,0.00044468566],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971946,0.00017034642,0.001129039,0.00016379953,0.0010803714,0.00026187717],"domain_scores_gemma":[0.9969715,0.001300579,0.0010467613,0.00015104942,0.00035862616,0.00017148844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021232064,0.00016643005,0.0005500262,0.00018902068,0.0002320923,0.0000446072,0.0004301038,0.00008994346,0.00072582247],"category_scores_gemma":[0.0017223272,0.00010664239,0.00024981063,0.00053088064,0.0006502152,0.0005002658,0.000053821765,0.0002660665,0.000029689661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007138915,0.0013590475,0.0002750262,0.00026718606,0.0001230242,0.000022461598,0.004948443,0.000053989737,0.002642013,0.9781303,0.0005182787,0.011588851],"study_design_scores_gemma":[0.0003737399,0.0004727556,0.00093242066,0.00025314096,0.00007004092,0.00022217644,0.00043612733,0.0017231646,0.0008225449,0.9942103,0.00033556065,0.00014803818],"about_ca_topic_score_codex":0.000003927959,"about_ca_topic_score_gemma":0.0000011595372,"teacher_disagreement_score":0.11836496,"about_ca_system_score_codex":0.000052746625,"about_ca_system_score_gemma":0.00017029302,"threshold_uncertainty_score":0.7947247},"labels":[],"label_agreement":null},{"id":"W2612299046","doi":"10.1016/j.jde.2017.08.018","title":"Stability and uniqueness of slowly oscillating periodic solutions to Wright's equation","year":2017,"lang":"en","type":"preprint","venue":"Journal of Differential Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Uniqueness; Mathematics; Wright; Eigenvalues and eigenvectors; Floquet theory; Conjecture; Bounding overwatch; Stability (learning theory); Stability theory; Mathematical analysis; Applied mathematics; Pure mathematics; Computer science; Physics","score_opus":0.21929560750456234,"score_gpt":0.3978934540271513,"score_spread":0.17859784652258898,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2612299046","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.37133682,0.00010951726,0.6264526,0.00045063286,0.00086894765,0.00041499737,0.0001006615,0.00001813275,0.00024765736],"genre_scores_gemma":[0.92709935,0.000056617424,0.07233495,0.0000099438175,0.00033662032,0.000029264595,0.000022237235,0.000039244682,0.00007179341],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9956348,0.000778419,0.0020052812,0.00037608115,0.00086048676,0.0003449284],"domain_scores_gemma":[0.9921755,0.0021128147,0.0031793248,0.00082807336,0.0013886214,0.00031564123],"candidate_categories":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0019147972,0.000389285,0.001308348,0.0005195924,0.0005430813,0.0003086238,0.0006051266,0.0003480728,0.0003216756],"category_scores_gemma":[0.009276845,0.00033326095,0.0005147273,0.00018446257,0.00023713986,0.00025709101,0.0007075191,0.0007888294,0.000002333691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006850539,0.0046069124,0.0026587509,0.0043938057,0.0024112943,0.0000155133,0.016890934,0.0016402705,0.11248896,0.6834264,0.0006152271,0.1701669],"study_design_scores_gemma":[0.001327005,0.0006751472,0.011409742,0.001831122,0.0016509396,0.000012896868,0.0004350708,0.028170146,0.0058364444,0.94770634,0.00013047367,0.0008146959],"about_ca_topic_score_codex":0.0001241808,"about_ca_topic_score_gemma":0.00008473269,"teacher_disagreement_score":0.55576247,"about_ca_system_score_codex":0.00019575054,"about_ca_system_score_gemma":0.0005697018,"threshold_uncertainty_score":0.99991196},"labels":[],"label_agreement":null},{"id":"W2614075111","doi":"10.4171/rsmup/137-9","title":"Existence of stationary solutions for some integro-differential equations with superdiffusion","year":2017,"lang":"en","type":"article","venue":"Rendiconti del Seminario Matematico della Università di Padova","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Differential equation; Applied mathematics; Statistical physics; Mathematics; Computer science; Physics; Mathematical analysis","score_opus":0.08754345495827431,"score_gpt":0.33165923768186795,"score_spread":0.24411578272359363,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2614075111","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1509126,0.000085940446,0.8453593,0.00023602403,0.00022072358,0.00089489965,0.00017449728,0.00008096962,0.0020350125],"genre_scores_gemma":[0.8625866,0.000056664827,0.1324509,0.000014549832,0.000069818896,0.00005091209,0.00012062868,0.00005705626,0.004592844],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977384,0.00015013233,0.0006820163,0.00042811848,0.00049377896,0.0005075585],"domain_scores_gemma":[0.9961673,0.00133841,0.00090911443,0.0010115341,0.0003982525,0.0001753592],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00047144925,0.00034036435,0.0007277389,0.0002851605,0.0012539903,0.0001447118,0.0007014457,0.0001471614,0.00024151255],"category_scores_gemma":[0.000786567,0.0002872104,0.0002661592,0.0001511573,0.0003735163,0.0006565973,0.0003033804,0.00017807233,0.000012646249],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042932408,0.001221563,0.0004663342,0.0015124643,0.0005058401,0.00002405033,0.0017257931,0.000088385794,0.010907484,0.97058797,0.0013192347,0.011211578],"study_design_scores_gemma":[0.010443335,0.0024225079,0.007079622,0.004619696,0.003935859,0.000078965386,0.0098835025,0.3991321,0.012841317,0.5454519,0.0015488197,0.0025624165],"about_ca_topic_score_codex":0.00015224735,"about_ca_topic_score_gemma":0.000063505,"teacher_disagreement_score":0.71290845,"about_ca_system_score_codex":0.0001326968,"about_ca_system_score_gemma":0.00012979354,"threshold_uncertainty_score":0.999958},"labels":[],"label_agreement":null},{"id":"W2618620859","doi":"10.1111/sapm.12181","title":"Resonances in Bounded Media","year":2017,"lang":"en","type":"article","venue":"Studies in Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dissipative system; Nonlinear system; Bounded function; Amplitude; Mathematics; Mathematical analysis; Spectrum (functional analysis); Physics; Forcing (mathematics); Truncation (statistics); Observable; Quantum mechanics","score_opus":0.33416350723292215,"score_gpt":0.486226882709606,"score_spread":0.15206337547668386,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2618620859","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61895925,0.0013129514,0.030083127,0.0010579803,0.0017671478,0.0019187164,0.00001779182,0.0002321264,0.34465092],"genre_scores_gemma":[0.48363197,0.00036956416,0.51547664,0.00002665891,0.00008377282,0.00019839028,7.853905e-7,0.000028623454,0.00018361102],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857223,0.000029926041,0.0005734221,0.00024191676,0.00027288374,0.0003095961],"domain_scores_gemma":[0.9972461,0.0016550304,0.00031461983,0.00071156945,0.000034923145,0.0000377735],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010052588,0.00019586502,0.00063246913,0.00011209946,0.00021909886,0.00006417863,0.0004500004,0.00007950212,0.000029843663],"category_scores_gemma":[0.003961484,0.00015753637,0.000051578823,0.0001313963,0.0003906153,0.00006038936,0.00030633487,0.0001968932,0.00002171083],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012464238,0.00033259456,0.00018171051,0.0003815926,0.00003734079,0.000010058749,0.00767459,8.145666e-7,0.000115099756,0.9697219,0.0003562723,0.021175537],"study_design_scores_gemma":[0.00058951735,0.000012282353,0.0006695295,0.0002175315,0.00001890359,9.0098234e-7,0.003677305,0.00031177455,0.0005040457,0.99338436,0.00044493316,0.00016893302],"about_ca_topic_score_codex":0.000009774113,"about_ca_topic_score_gemma":0.00032283895,"teacher_disagreement_score":0.48539352,"about_ca_system_score_codex":0.000080124555,"about_ca_system_score_gemma":0.000019151603,"threshold_uncertainty_score":0.6424147},"labels":[],"label_agreement":null},{"id":"W2626396386","doi":"10.7538/yzk.2014.48.02.0298","title":"Stability and error analysis on modified nodal expansion method for transient convection-diffusion equation","year":2014,"lang":"en","type":"article","venue":"Energy science and technology","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Transient (computer programming); Diffusion; NODAL; Transient analysis; Convection; Convection–diffusion equation; Stability (learning theory); Modified nodal analysis; Mechanics; Nodal analysis; Error analysis; Diffusion equation; Thermodynamics; Mathematics; Physics; Statistical physics; Computer science; Materials science; Steady state (chemistry); Engineering; Applied mathematics; Chemistry; Biology; Physical chemistry","score_opus":0.06221693679838061,"score_gpt":0.3565748694682747,"score_spread":0.2943579326698941,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2626396386","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35682896,0.000005923875,0.6421238,0.00070861256,0.000054985612,0.00007748434,0.0000016810111,0.000049604416,0.00014890553],"genre_scores_gemma":[0.8593469,0.0000063290363,0.14049634,0.000052980642,0.0000113232145,0.000048249134,0.0000022087168,0.0000045949655,0.000031078707],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99887586,0.00009141152,0.00020671845,0.00042002933,0.00021702303,0.00018895003],"domain_scores_gemma":[0.998813,0.0005868489,0.00008690946,0.00025330362,0.0001972873,0.00006265176],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014692629,0.00010214904,0.00024564622,0.0005627638,0.00032915047,0.00003344472,0.00011248465,0.00011405417,0.000012156185],"category_scores_gemma":[0.0014674781,0.00007908587,0.000038995855,0.0013860627,0.00035714605,0.00009244151,0.000043782886,0.00006644437,2.0934515e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023743973,0.000090762514,0.000057580903,0.000007951903,0.000016149084,5.4209398e-8,0.00010606478,0.000032815915,0.049046203,0.7305337,0.0000038699304,0.2200811],"study_design_scores_gemma":[0.0004122544,0.00044400213,0.0005200188,0.0000065589647,0.00013109694,0.0000011624934,0.00018081762,0.54951346,0.053813275,0.39407998,0.0007632755,0.00013412152],"about_ca_topic_score_codex":0.000065556436,"about_ca_topic_score_gemma":0.000060418195,"teacher_disagreement_score":0.5494806,"about_ca_system_score_codex":0.000029789615,"about_ca_system_score_gemma":0.000027782036,"threshold_uncertainty_score":0.3225028},"labels":[],"label_agreement":null},{"id":"W2750215236","doi":"10.1088/1361-6544/aad30b","title":"Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption","year":2018,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia; McMaster University; TRIUMF","funders":"","keywords":"Mathematics; Bifurcation; Reversing; Mathematical analysis; Diffusion; Differential equation; Diffusion equation; Hypergeometric function; Nonlinear system; Physics","score_opus":0.15562056662029894,"score_gpt":0.3835516256215624,"score_spread":0.22793105900126348,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2750215236","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.42842442,0.000006517514,0.57032543,0.00048627908,0.000059094782,0.00035056387,0.000019864487,0.000022744432,0.0003051002],"genre_scores_gemma":[0.7237511,0.0000037951252,0.2760707,0.000017004126,0.00008251744,0.000027446902,0.000018660461,0.000006955981,0.000021794682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9991129,0.00016231422,0.00025847048,0.00013723424,0.00017135282,0.00015770717],"domain_scores_gemma":[0.9987695,0.0006384948,0.00014905148,0.00022318515,0.00019970298,0.000020018844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008732022,0.00008297324,0.00014175981,0.00008123544,0.00023910827,0.00002407279,0.0001267854,0.000058179754,0.000022987264],"category_scores_gemma":[0.00045734682,0.000056049703,0.000042586173,0.00028900744,0.000083991574,0.00011675656,0.000030252393,0.00010071646,0.0000019630293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011383966,0.013558754,0.011733169,0.0013318468,0.0003653198,0.0000012517467,0.038158823,0.000679668,0.037439406,0.73793906,0.0020081042,0.15564618],"study_design_scores_gemma":[0.002414442,0.0015695702,0.027238652,0.0003915022,0.00038614497,0.0000041769395,0.0033315471,0.814862,0.005621678,0.1416537,0.0020919398,0.00043464854],"about_ca_topic_score_codex":0.00007367776,"about_ca_topic_score_gemma":0.00033598428,"teacher_disagreement_score":0.81418234,"about_ca_system_score_codex":0.000041829946,"about_ca_system_score_gemma":0.000034251094,"threshold_uncertainty_score":0.22856405},"labels":[],"label_agreement":null},{"id":"W2767825672","doi":"10.1007/s11075-017-0437-3","title":"Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems","year":2017,"lang":"en","type":"article","venue":"Numerical Algorithms","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada; Irish Research Council","keywords":"Preconditioner; Mathematics; Discretization; Finite element method; Polygon mesh; Boundary layer; Singular perturbation; Numerical analysis; Applied mathematics; Mathematical analysis; Multigrid method; Boundary value problem; Linear system; Partial differential equation; Geometry","score_opus":0.09395097368211223,"score_gpt":0.3795944641367546,"score_spread":0.2856434904546423,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2767825672","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.007148876,0.000027836071,0.988914,0.0010893216,0.0004954038,0.0007424765,0.00015316135,0.00007154412,0.0013573389],"genre_scores_gemma":[0.45886698,0.000021943524,0.53811556,0.00008217033,0.0003014406,0.00039475647,0.00019538002,0.000065659806,0.0019561439],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99838734,0.000093847484,0.0005568484,0.00033509286,0.00034176323,0.00028512816],"domain_scores_gemma":[0.99771494,0.0007939303,0.0005407431,0.00058697216,0.00022899797,0.0001344185],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034734167,0.00020322912,0.00040874197,0.00008592701,0.00076374394,0.00015904366,0.0003112944,0.00011617874,0.00024894084],"category_scores_gemma":[0.0020568157,0.00016757491,0.00022440245,0.00012022357,0.00017551071,0.00027967928,0.0000924274,0.00014707808,0.000007898416],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00035937605,0.0065783327,0.0023261737,0.0011185156,0.0008587872,0.0000054923244,0.0035443772,0.00030044912,0.045563746,0.15395808,0.005403887,0.7799828],"study_design_scores_gemma":[0.0033557345,0.0012397269,0.0121515,0.00031759022,0.0004841491,0.000007021425,0.00038228507,0.22039305,0.0064927908,0.7037535,0.050413717,0.0010089912],"about_ca_topic_score_codex":0.0000945685,"about_ca_topic_score_gemma":0.0000058890973,"teacher_disagreement_score":0.7789738,"about_ca_system_score_codex":0.000059286805,"about_ca_system_score_gemma":0.00006511816,"threshold_uncertainty_score":0.6833506},"labels":[],"label_agreement":null},{"id":"W2787123244","doi":"","title":"Two linearized problems of shallow water flows","year":2009,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Shallow water equations; Hilbert space; Waves and shallow water; Flow (mathematics); Water flow; Applied mathematics; Mathematical optimization; Space (punctuation); Thermal; Mathematics; Computer science; Mathematical analysis; Physics; Geology; Geometry; Meteorology; Geotechnical engineering; Thermodynamics","score_opus":0.04446743877740082,"score_gpt":0.30457531319770853,"score_spread":0.2601078744203077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2787123244","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.107773386,0.0003009616,0.84038943,0.003878265,0.00025370475,0.00084171153,0.00004799393,0.00025689104,0.046257637],"genre_scores_gemma":[0.36838105,0.00018242282,0.6262859,0.000038614053,0.00003448317,0.00007925281,0.00029202548,0.000058237976,0.0046480014],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9918596,0.0056397542,0.000964068,0.0006389839,0.00051228545,0.0003852787],"domain_scores_gemma":[0.9935541,0.0017734603,0.0005611359,0.0020980479,0.0018487978,0.00016445959],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.006663943,0.00037736775,0.0007494247,0.00020206327,0.00016507505,0.0002008056,0.0010819773,0.0003024192,0.00047621396],"category_scores_gemma":[0.002306019,0.0003082186,0.0003893485,0.00024088904,0.0001443151,0.00008106022,0.0010230886,0.00065994606,0.000030385767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000081186896,0.0059154686,0.00035954925,0.0022599588,0.0005670518,0.000007303208,0.02190148,0.000543106,0.0831402,0.5917396,0.0007885377,0.29269657],"study_design_scores_gemma":[0.0015160888,0.0000018504721,0.0002902662,0.0035368085,0.00024872503,0.0000048496886,0.00005377294,0.079026796,0.17510079,0.73403925,0.0053764,0.00080441555],"about_ca_topic_score_codex":0.00059577054,"about_ca_topic_score_gemma":0.00061535765,"teacher_disagreement_score":0.29189214,"about_ca_system_score_codex":0.00006160311,"about_ca_system_score_gemma":0.00012462707,"threshold_uncertainty_score":0.999937},"labels":[],"label_agreement":null},{"id":"W2804631372","doi":"10.1007/s40819-018-0526-6","title":"Generation of Waves Due to a Disturbance on the Running Stream","year":2018,"lang":"en","type":"article","venue":"International Journal of Applied and Computational Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"Council of Scientific and Industrial Research, India","keywords":"Disturbance (geology); Free surface; Laplace transform; Mathematics; Mathematical analysis; Oscillation (cell signaling); Surface (topology); Amplitude; Mechanics; Physics; Geometry; Geology; Optics; Chemistry","score_opus":0.08636169961996829,"score_gpt":0.3597133673507956,"score_spread":0.2733516677308273,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2804631372","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5497919,0.000006746648,0.4468695,0.0008986521,0.00019844003,0.00010607037,0.000007957455,0.0000058017645,0.0021149786],"genre_scores_gemma":[0.76942366,0.000002115368,0.22998564,0.00019789526,0.00035444836,0.000004192643,0.0000017570972,0.000008447605,0.000021823482],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987385,0.000022770315,0.000531091,0.00008821946,0.0005454441,0.00007397027],"domain_scores_gemma":[0.99793917,0.00091868185,0.0004592586,0.000084373496,0.00054869265,0.000049839215],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004377774,0.00010023169,0.00021010826,0.00011625541,0.00006865723,0.000055021083,0.00023522781,0.000028422606,0.000054133154],"category_scores_gemma":[0.0003020783,0.00006452996,0.000060388164,0.000108273656,0.00008456039,0.000045976743,0.00005000908,0.00009011358,0.0000053337767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000063699146,0.0002541488,0.000009326738,0.000016620595,0.00013646876,0.000002095212,0.0018199016,0.00073471066,0.0021159116,0.9779545,0.00063183764,0.016260771],"study_design_scores_gemma":[0.0003357674,0.00024129673,0.00052914687,0.00013717632,0.000035012825,0.000035306723,0.000387159,0.02550174,0.0061910735,0.96626747,0.00024794394,0.00009092813],"about_ca_topic_score_codex":8.6955464e-7,"about_ca_topic_score_gemma":6.1832435e-7,"teacher_disagreement_score":0.21963182,"about_ca_system_score_codex":0.000024144141,"about_ca_system_score_gemma":0.00003274636,"threshold_uncertainty_score":0.26314554},"labels":[],"label_agreement":null},{"id":"W2898766459","doi":"10.1080/00207160.2018.1542133","title":"A second-order box solver for nonlinear delayed convection-diffusion equations with Neumann boundary conditions","year":2018,"lang":"en","type":"article","venue":"International Journal of Computer Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Education Department of Jiangxi Province; National Natural Science Foundation of China","keywords":"Mathematics; Solver; Neumann boundary condition; Nonlinear system; Extrapolation; Norm (philosophy); Applied mathematics; Boundary value problem; Neumann series; Mathematical analysis; Rate of convergence; Von Neumann architecture; Boundary (topology); Convergence (economics); Von Neumann stability analysis; Mathematical optimization; Computer science","score_opus":0.0416119706775501,"score_gpt":0.3624068748213308,"score_spread":0.32079490414378076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2898766459","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06986168,0.000010428947,0.92694765,0.0006879661,0.001626402,0.00027363657,0.00007119478,0.000037767724,0.00048328255],"genre_scores_gemma":[0.089209214,0.0000058013943,0.90824085,0.00033309322,0.001663521,0.000020395804,0.000034658828,0.000044116863,0.00044832402],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980646,0.00006619046,0.00090271136,0.00016282324,0.0006058634,0.00019786201],"domain_scores_gemma":[0.99432075,0.0015418655,0.0008583793,0.00021143981,0.0029501696,0.000117388394],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049438776,0.0002054279,0.00038274506,0.00029660913,0.00021025323,0.00020825623,0.00043780397,0.00008492012,0.00066331704],"category_scores_gemma":[0.00039229903,0.00015736917,0.00020516096,0.000192709,0.0001778263,0.00032031976,0.00007766137,0.0001961802,0.000020741763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011098641,0.009949935,0.0002289898,0.0004966205,0.0072305426,0.000094861156,0.012080753,0.0005666384,0.007065358,0.86157936,0.061945003,0.037652053],"study_design_scores_gemma":[0.004465642,0.0025457165,0.00018113392,0.0005605915,0.00044132443,0.0005677974,0.00028753176,0.33112368,0.0023448926,0.6255005,0.03147251,0.00050867413],"about_ca_topic_score_codex":0.0000021735314,"about_ca_topic_score_gemma":0.000022606897,"teacher_disagreement_score":0.33055702,"about_ca_system_score_codex":0.00008595966,"about_ca_system_score_gemma":0.00019270137,"threshold_uncertainty_score":0.7262857},"labels":[],"label_agreement":null},{"id":"W2901419803","doi":"10.5539/jmr.v10n6p63","title":"Optimal Control and Necessary Optimality Conditions for Nonlinear and Perturbed Dynamic Problems","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Uniqueness; Optimal control; Nonlinear system; Mathematical optimization; Applied mathematics; Partial differential equation; Order (exchange); Mathematical analysis","score_opus":0.15915024813655554,"score_gpt":0.4888871511959644,"score_spread":0.32973690305940884,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2901419803","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56292623,0.00016441947,0.43473732,0.0012027724,0.00007365789,0.00057360134,0.00005895506,0.000011217333,0.00025181012],"genre_scores_gemma":[0.3948207,0.0000805066,0.6046437,0.000019472787,0.00015680993,0.000025329084,0.0000019424845,0.000025878686,0.00022569664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99814457,0.00025652547,0.0006358729,0.00014657703,0.00051531685,0.00030111885],"domain_scores_gemma":[0.9938427,0.0043319897,0.0002955268,0.0001897623,0.0011461277,0.00019389902],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004496141,0.0001264785,0.0004470309,0.00023384784,0.0002897248,0.00014226466,0.00019313622,0.00009471888,0.00006308479],"category_scores_gemma":[0.0036462029,0.000091227004,0.00009014521,0.0001700453,0.00046983763,0.0001634915,0.00008121917,0.00034495228,0.0000025465754],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0029234895,0.018420113,0.0008488331,0.020048315,0.004667786,0.00010777421,0.03438667,0.00023125611,0.23779045,0.5763288,0.025954943,0.07829156],"study_design_scores_gemma":[0.0027547714,0.0020464843,0.00026818734,0.00037345107,0.00017153831,0.00018845272,0.0015657695,0.416648,0.0006996955,0.57415897,0.0009158991,0.00020880651],"about_ca_topic_score_codex":0.0000027484898,"about_ca_topic_score_gemma":0.0000038006763,"teacher_disagreement_score":0.41641673,"about_ca_system_score_codex":0.000038706756,"about_ca_system_score_gemma":0.00008837831,"threshold_uncertainty_score":0.43651086},"labels":[],"label_agreement":null},{"id":"W2902647490","doi":"10.5539/jmr.v10n6p98","title":"Application of the SBA Method for Solving the Partial Differential Equation","year":2018,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Partial differential equation; Applied mathematics; Mathematical analysis","score_opus":0.3150208764404697,"score_gpt":0.529793574938978,"score_spread":0.21477269849850833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2902647490","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.045908004,0.000018461018,0.95174056,0.0012006067,0.0002541225,0.00060813315,0.0000044438048,0.00000530038,0.00026034238],"genre_scores_gemma":[0.64784557,0.000007178977,0.3512631,0.0000100071875,0.0006325403,0.000044390956,4.4493396e-7,0.000023723764,0.00017303643],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99700785,0.00059217453,0.0008912746,0.00011162231,0.0011325761,0.00026449581],"domain_scores_gemma":[0.9902698,0.0068185185,0.0008345207,0.0004817517,0.0015343935,0.000061017192],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0071704756,0.00010490298,0.0003276905,0.00013889016,0.0003699953,0.000066156834,0.00073171296,0.00008367147,0.00007800364],"category_scores_gemma":[0.0073136413,0.00005148696,0.00026481753,0.000418413,0.00026504754,0.000084073276,0.0001605661,0.0003611149,0.000004345917],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016431362,0.0011617008,0.000048886417,0.0005605857,0.00024319161,3.1409996e-7,0.0047756657,0.000023014481,0.1503053,0.7489836,0.002250562,0.09148284],"study_design_scores_gemma":[0.00044877417,0.0003308155,0.00010650481,0.00012188864,0.0001187614,0.000013234421,0.0007021671,0.2070125,0.08422747,0.7059238,0.0009223544,0.00007170421],"about_ca_topic_score_codex":0.000010709077,"about_ca_topic_score_gemma":0.000006663063,"teacher_disagreement_score":0.60193753,"about_ca_system_score_codex":0.000056690886,"about_ca_system_score_gemma":0.000115891584,"threshold_uncertainty_score":0.87556404},"labels":[],"label_agreement":null},{"id":"W2904980396","doi":"10.1002/qj.3455","title":"An efficient semi‐implicit temporal scheme for boundary‐layer vertical diffusion","year":2018,"lang":"en","type":"article","venue":"Quarterly Journal of the Royal Meteorological Society","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Diffusion; Nonlinear system; Stability (learning theory); Scheme (mathematics); Diagonal; Applied mathematics; Mathematics; Term (time); Boundary layer; Boundary (topology); Computer science; Mathematical analysis; Mechanics; Geometry; Thermodynamics; Physics","score_opus":0.05002572745032345,"score_gpt":0.35337332941430866,"score_spread":0.3033476019639852,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2904980396","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6693922,0.000025968742,0.32911605,0.0006412784,0.0005085317,0.00021494956,0.0000066119937,0.00002532085,0.000069070375],"genre_scores_gemma":[0.84597534,8.1516134e-7,0.15283954,0.00038965206,0.0006999207,0.0000111866175,9.66236e-7,0.0000211541,0.00006142678],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974733,0.00047592047,0.00079016614,0.000260121,0.0005508942,0.00044959405],"domain_scores_gemma":[0.99769956,0.0008986281,0.0003556607,0.00039064474,0.00038901193,0.00026649729],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017985842,0.00024097296,0.0005400647,0.000024702264,0.0005208626,0.00012212106,0.0006587247,0.00025772705,0.00025369984],"category_scores_gemma":[0.00059659965,0.00012593094,0.0009515084,0.0001897807,0.00040302478,0.000073865485,0.000063194646,0.00044902822,0.0000069434855],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.008312388,0.023579711,0.014328899,0.00056612614,0.0031658097,0.000027689382,0.017700458,0.0005156482,0.3950535,0.17781143,0.050974447,0.3079639],"study_design_scores_gemma":[0.0058637764,0.03233266,0.0203268,0.00017420793,0.000942461,0.00007094559,0.0016500195,0.3692284,0.0075760554,0.54993933,0.010843175,0.0010521899],"about_ca_topic_score_codex":0.000006763004,"about_ca_topic_score_gemma":0.0000018592992,"teacher_disagreement_score":0.38747746,"about_ca_system_score_codex":0.00008814811,"about_ca_system_score_gemma":0.000057784488,"threshold_uncertainty_score":0.51353145},"labels":[],"label_agreement":null},{"id":"W2943302425","doi":"10.1088/2053-2571/ab0281ch7","title":"Singular perturbation theory","year":2019,"lang":"en","type":"book-chapter","venue":"Nonlinear Dynamics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Lethbridge","funders":"","keywords":"Singular perturbation; Perturbation (astronomy); Mathematics; Physics; Classical mechanics; Mathematical analysis; Quantum mechanics","score_opus":0.042611908482289414,"score_gpt":0.31934854297974336,"score_spread":0.27673663449745395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943302425","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00006395806,0.00008645033,0.35935563,0.00008589839,0.00061652117,0.00031247953,0.00009990419,0.000113816845,0.63926536],"genre_scores_gemma":[0.00004120811,0.00005396287,0.1777948,0.000088757304,0.0003164573,0.0000029665866,0.00038632518,0.00013734821,0.8211782],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986237,0.00006512853,0.00042225243,0.0003472757,0.00034570092,0.00019591239],"domain_scores_gemma":[0.9980092,0.0008340996,0.00030745045,0.0006186883,0.00015975029,0.00007082796],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004148582,0.00034163386,0.0005082417,0.00013264656,0.00006717524,0.00005109591,0.00022913906,0.00049711106,0.0010929508],"category_scores_gemma":[0.00041101585,0.00030493288,0.0002698715,0.000033769007,0.000071568626,0.000050059232,0.00009199244,0.00047184504,0.00034880586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001669818,0.00003859948,8.8288573e-7,0.00009191321,0.000073297044,0.0000027138503,0.000031135598,0.0000036991403,0.0000041009057,0.9277898,0.00011078349,0.071836375],"study_design_scores_gemma":[0.00014637802,0.00006565199,0.0000012703492,0.00012403904,0.00018057373,0.0000034434195,0.000007725881,0.072537914,0.0000045716565,0.88256407,0.044039607,0.0003247764],"about_ca_topic_score_codex":0.0000012818327,"about_ca_topic_score_gemma":0.000006310265,"teacher_disagreement_score":0.18191282,"about_ca_system_score_codex":0.00017150037,"about_ca_system_score_gemma":0.000106329266,"threshold_uncertainty_score":0.9999403},"labels":[],"label_agreement":null},{"id":"W2945509242","doi":"10.4153/s0008439519000262","title":"Oscillation Criteria for Second Order Ordinary Differential Equations","year":2019,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Oscillation (cell signaling); Oscillation theory; Order (exchange); Ordinary differential equation; Nonlinear system; Differential equation; Mathematical analysis; Differential (mechanical device); Applied mathematics; Differential algebraic equation; Physics; Thermodynamics","score_opus":0.057846616619021476,"score_gpt":0.34105137043171496,"score_spread":0.2832047538126935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2945509242","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17651272,0.000016199316,0.7905733,0.0028665583,0.0005266317,0.00151815,0.00015826164,0.00010361817,0.027724547],"genre_scores_gemma":[0.8131135,7.7281027e-7,0.15663376,0.00043700598,0.00024550137,0.00023769715,0.00007877672,0.000088813315,0.029164132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983066,0.00013246156,0.0004976535,0.00034596564,0.00021309842,0.00050425006],"domain_scores_gemma":[0.9968965,0.0019254225,0.00011059864,0.00043211668,0.00020489226,0.00043047484],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00042134378,0.00023286507,0.00042721987,0.00018913586,0.00017765234,0.00012283634,0.00022104391,0.00017203414,0.15932854],"category_scores_gemma":[0.0022160648,0.0002099654,0.00015951818,0.0002180427,0.000057516583,0.000054320833,0.000037780395,0.0001457275,0.0044324775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003443541,0.00015663814,0.000032168406,0.00054857164,0.000078437355,0.0000025780216,0.00023642977,0.0000034624522,0.0015843749,0.9556435,0.03822038,0.0034590354],"study_design_scores_gemma":[0.0010170103,0.00020750747,0.00018503529,0.0001167754,0.000113169765,0.0000077918685,0.000115550116,0.018604565,0.0002439922,0.8376872,0.14113805,0.00056335726],"about_ca_topic_score_codex":0.000109546025,"about_ca_topic_score_gemma":0.00033590366,"teacher_disagreement_score":0.6366008,"about_ca_system_score_codex":0.00013022279,"about_ca_system_score_gemma":0.00014887317,"threshold_uncertainty_score":0.99634266},"labels":[],"label_agreement":null},{"id":"W2946798907","doi":"10.1139/cjp-2019-0062","title":"Bifurcation and stability analysis of stagnation points for an asymmetric peristaltic transport","year":2019,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Physics; Mechanics; Reynolds number; Flow (mathematics); Bifurcation; Stagnation point; Open-channel flow; Stratified flow; Classical mechanics; Mathematical analysis; Nonlinear system; Mathematics; Heat transfer","score_opus":0.07130439710750804,"score_gpt":0.33828879498834563,"score_spread":0.2669843978808376,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2946798907","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.76312405,0.000019501857,0.23650125,0.000030710868,0.00006293214,0.00011736063,0.00006174992,0.0000013737039,0.00008107424],"genre_scores_gemma":[0.9789867,0.0000031787856,0.020935211,0.000010873331,0.000028258552,0.0000014700879,0.000015736676,0.000008147379,0.000010435736],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.9992746,0.0000672018,0.00034702843,0.00008343435,0.00012722016,0.00010047461],"domain_scores_gemma":[0.9987301,0.00025159985,0.00031077774,0.00013420964,0.00038603955,0.00018722785],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005451816,0.000064905966,0.00030479868,0.00031832437,0.00003465594,0.000014500213,0.00007586167,0.000034179946,0.000039193437],"category_scores_gemma":[0.0002361936,0.00005903334,0.0001329923,0.0007005742,0.000032988402,0.00017578361,0.000001538174,0.000060357957,2.0693335e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017967331,0.00077003223,0.25998285,0.00084947306,0.002313187,0.0000020235318,0.009924433,0.00058221485,0.0071578026,0.28201005,0.00006795741,0.43616033],"study_design_scores_gemma":[0.0020721538,0.0020632518,0.4639331,0.00009100334,0.0052302773,0.0000031385973,0.0022717642,0.054335628,0.008684034,0.46025807,0.0005192279,0.00053834677],"about_ca_topic_score_codex":0.00060791586,"about_ca_topic_score_gemma":0.002552399,"teacher_disagreement_score":0.43562198,"about_ca_system_score_codex":0.000066131084,"about_ca_system_score_gemma":0.00023297952,"threshold_uncertainty_score":0.24073097},"labels":[],"label_agreement":null},{"id":"W2949096209","doi":"10.48550/arxiv.1110.5921","title":"Symmetry Preserving Numerical Schemes for Partial Differential Equations and their Numerical Tests","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University; Université de Montréal","funders":"","keywords":"Mathematics; Equivariant map; Partial differential equation; Invariant (physics); Mathematical analysis; Polygon mesh; Logarithm; Finite difference; Heat equation; Symmetry (geometry); Finite difference method; Pure mathematics; Mathematical physics; Geometry","score_opus":0.23232795133833198,"score_gpt":0.284538943462828,"score_spread":0.05221099212449601,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949096209","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13143374,0.000058143338,0.86646175,0.000049931237,0.00043772394,0.0006807649,0.00009657413,0.00018704135,0.0005943032],"genre_scores_gemma":[0.97792643,0.00003569423,0.020859584,0.000024377174,0.00025580043,0.000023928684,0.00005732639,0.00007096034,0.00074588467],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975579,0.00033656287,0.0004426813,0.0010367819,0.000106164196,0.0005199348],"domain_scores_gemma":[0.9961315,0.002120688,0.00039389165,0.0008359966,0.00020037947,0.00031758982],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00027194544,0.0005226152,0.00080861885,0.00021635242,0.00030372964,0.00011357226,0.00064534636,0.00045754496,0.00032476976],"category_scores_gemma":[0.001317373,0.00048467345,0.0004283509,0.00034169704,0.00017096898,0.0001700855,0.0012775182,0.00061022036,0.00001197466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029360643,0.0010915635,0.0010789881,0.0005667643,0.0006364566,0.000012766109,0.00049363694,0.0003316543,0.0002743279,0.9871317,0.00043373375,0.0076547987],"study_design_scores_gemma":[0.0007716761,0.00015729519,0.00045819182,0.00012384013,0.0004854181,0.0000017669029,0.00012253263,0.41685432,0.00060539343,0.579138,0.0006246305,0.00065694016],"about_ca_topic_score_codex":0.000097006385,"about_ca_topic_score_gemma":0.0000073804154,"teacher_disagreement_score":0.8464927,"about_ca_system_score_codex":0.00009202158,"about_ca_system_score_gemma":0.000108295586,"threshold_uncertainty_score":0.9997605},"labels":[],"label_agreement":null},{"id":"W2949287173","doi":"10.48550/arxiv.1412.3057","title":"Adaptive finite difference methods for nonlinear elliptic and parabolic partial differential equations with free boundaries","year":2014,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Canadian Nuclear Laboratories; McGill University","funders":"","keywords":"Discretization; Partial differential equation; Elliptic partial differential equation; Mathematics; Monotone polygon; Finite difference; Nonlinear system; Parabolic partial differential equation; Multigrid method; Mathematical analysis; Boundary (topology); Finite difference method; Grid; Solver; Degenerate energy levels; Applied mathematics; Mathematical optimization; Geometry; Physics","score_opus":0.14380840904964398,"score_gpt":0.39728162138233786,"score_spread":0.2534732123326939,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949287173","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23870832,0.00017887684,0.75881183,0.00022887508,0.00063779636,0.0010083239,0.00022384313,0.00013685704,0.00006527225],"genre_scores_gemma":[0.482709,0.00004356687,0.5152408,0.00006246084,0.00054858613,0.0007028625,0.00012972836,0.00009666683,0.00046631976],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99647117,0.0007925363,0.0008235562,0.0009700789,0.00033628664,0.00060636003],"domain_scores_gemma":[0.99127537,0.006213776,0.0006533402,0.001254144,0.00033767195,0.0002656969],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006655235,0.0007046881,0.0012706218,0.0001745751,0.00059864245,0.00041984764,0.0006020967,0.0004537101,0.00010149191],"category_scores_gemma":[0.0043075257,0.0005506194,0.000278573,0.00017771457,0.0007136091,0.000090488946,0.00078680954,0.0007836519,0.0000106544],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.003539025,0.0041655484,0.0153901735,0.004896285,0.0052558593,0.000014175937,0.00938904,0.0008475242,0.0040711933,0.6596463,0.00072039996,0.2920645],"study_design_scores_gemma":[0.0030563825,0.0012417217,0.013248398,0.0006729775,0.0025645941,0.000004308019,0.00016485847,0.454964,0.0031054649,0.51437277,0.0047145137,0.0018899833],"about_ca_topic_score_codex":0.00008649953,"about_ca_topic_score_gemma":0.00006538911,"teacher_disagreement_score":0.4541165,"about_ca_system_score_codex":0.00005422285,"about_ca_system_score_gemma":0.00026207988,"threshold_uncertainty_score":0.9996945},"labels":[],"label_agreement":null},{"id":"W2950335304","doi":"10.48550/arxiv.math-ph/0604057","title":"Conservation Laws of Multidimensional Diffusion-Convection Equations","year":2006,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Conservation law; Mathematics; Action (physics); Convection–diffusion equation; Symmetry (geometry); Point (geometry); Diffusion; Law; Group (periodic table); Applied mathematics; Mathematical analysis; Physics; Geometry; Political science; Thermodynamics","score_opus":0.1439340012682968,"score_gpt":0.36803512911538616,"score_spread":0.22410112784708935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2950335304","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6756447,0.000034210447,0.32207513,0.00035100244,0.0006846302,0.00036900904,0.000044554425,0.00008812004,0.0007086306],"genre_scores_gemma":[0.8983074,0.000017006629,0.099567555,0.00008808037,0.0002124274,0.000108403234,0.0003029928,0.00004699805,0.0013491429],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.99784976,0.0002882653,0.00085047964,0.000414948,0.00039048228,0.00020606854],"domain_scores_gemma":[0.99678594,0.0014746153,0.00070852524,0.00056889903,0.0003928394,0.00006918701],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00046327198,0.00028172423,0.00053388235,0.0001845208,0.00013955536,0.000019085988,0.00017408562,0.00034867573,0.00028931806],"category_scores_gemma":[0.0014475343,0.0002621503,0.00025858736,0.0002268857,0.00011148752,0.000075128366,0.00031601297,0.0004249131,0.000038500533],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002855182,0.0075191255,0.49397314,0.0027229213,0.0009624567,0.000013468364,0.001520506,0.0015799489,0.113333866,0.3322613,0.012281808,0.03354597],"study_design_scores_gemma":[0.0017254803,0.00019345323,0.5191794,0.00084489095,0.00073813036,0.0000035569442,0.00010686433,0.06934018,0.016368857,0.3878331,0.0024949387,0.0011711844],"about_ca_topic_score_codex":0.0010376398,"about_ca_topic_score_gemma":0.00010971346,"teacher_disagreement_score":0.22266267,"about_ca_system_score_codex":0.00008141533,"about_ca_system_score_gemma":0.00011963401,"threshold_uncertainty_score":0.9999831},"labels":[],"label_agreement":null},{"id":"W2951217889","doi":"10.48550/arxiv.nlin/0311020","title":"Diffusion of Power in Randomly Perturbed Hamiltonian Partial Differential Equations","year":2003,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Bell (Canada)","funders":"","keywords":"Partial differential equation; Diffusion; Mathematics; Hamiltonian (control theory); Physics; Mathematical analysis; Mathematical physics; Thermodynamics; Mathematical optimization","score_opus":0.1097117165094132,"score_gpt":0.3630604074696662,"score_spread":0.25334869096025303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951217889","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80070096,0.000086222484,0.19618942,0.00017780557,0.0011114578,0.0006712798,0.000037030877,0.000056742596,0.0009690901],"genre_scores_gemma":[0.9927955,0.000051026484,0.0057893004,0.000047011017,0.00011324389,0.00015780095,0.000060442202,0.00006686248,0.00091877196],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9965567,0.00074122247,0.001196511,0.0006105056,0.00046754096,0.0004275434],"domain_scores_gemma":[0.99701405,0.0012138765,0.00057120936,0.0009028878,0.000154485,0.00014346828],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005247166,0.00045386265,0.0011037133,0.0002865946,0.000095442025,0.000044890458,0.00040486126,0.00049074023,0.0012592027],"category_scores_gemma":[0.00251333,0.000390801,0.00045192085,0.0002860038,0.0001379441,0.00006730208,0.0004368398,0.000772821,0.000030394376],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.005019244,0.034703955,0.3927642,0.0052614626,0.0031133832,0.00014841321,0.028708443,0.0007009007,0.22465055,0.2640095,0.0040669483,0.036852974],"study_design_scores_gemma":[0.024454936,0.0008523789,0.6324433,0.0027808268,0.0018219908,0.0000077063,0.000695953,0.024750067,0.021635868,0.2836489,0.002668052,0.004239998],"about_ca_topic_score_codex":0.00014180785,"about_ca_topic_score_gemma":0.000053657826,"teacher_disagreement_score":0.2396791,"about_ca_system_score_codex":0.00009201224,"about_ca_system_score_gemma":0.00013077051,"threshold_uncertainty_score":0.9998544},"labels":[],"label_agreement":null},{"id":"W2952257616","doi":"10.48550/arxiv.1311.7691","title":"Numerical Methods for the Fractional Laplacian: a Finite Difference-quadrature Approach","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Quadrature (astronomy); Mathematical analysis; Operator (biology); Laplace operator; p-Laplacian; Fractional calculus; Rate of convergence; Boundary value problem; Applied mathematics; Physics","score_opus":0.23357767943731325,"score_gpt":0.3186197028504309,"score_spread":0.08504202341311765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952257616","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0024433977,0.00010275586,0.9925221,0.00023559933,0.0007802856,0.0011095951,0.00006168791,0.00014287994,0.0026017036],"genre_scores_gemma":[0.46696156,0.00011337519,0.52276486,0.00017397091,0.00041684913,0.00008344189,0.000093011025,0.00007499142,0.009317958],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9975153,0.00071575213,0.0003455191,0.0008807269,0.00012539867,0.0004172897],"domain_scores_gemma":[0.9910145,0.0071189334,0.0004343361,0.00097596104,0.00027640013,0.000179914],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006715751,0.00046118887,0.00066604174,0.00014830941,0.00038369527,0.00016167831,0.0009311054,0.0005983106,0.00036878054],"category_scores_gemma":[0.0012789615,0.0003440957,0.00060189405,0.0004444896,0.00017529541,0.000103461505,0.00049416156,0.0012054248,0.00002927203],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020688673,0.00073382247,0.00011988022,0.00041944132,0.000774457,0.0000050775434,0.0003254694,0.028873596,0.000039845112,0.940538,0.002331021,0.025632499],"study_design_scores_gemma":[0.00027537646,0.0000379822,0.00023716304,0.000030257295,0.00032499156,0.0000013705438,0.00010267565,0.5129265,0.000019612764,0.48249215,0.0032522678,0.00029967693],"about_ca_topic_score_codex":0.00008057535,"about_ca_topic_score_gemma":0.0000024335507,"teacher_disagreement_score":0.4840529,"about_ca_system_score_codex":0.00012893483,"about_ca_system_score_gemma":0.00013493726,"threshold_uncertainty_score":0.9999011},"labels":[],"label_agreement":null},{"id":"W2952645698","doi":"10.31142/ijtsrd18576","title":"A Technique for Partially Solving a Family of Diffusion Problems","year":2018,"lang":"en","type":"article","venue":"International Journal of Trend in Scientific Research and Development","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"National Research Council Canada","funders":"","keywords":"Diffusion; Computer science; Thermodynamics; Physics","score_opus":0.2784207505238103,"score_gpt":0.48374684105875715,"score_spread":0.20532609053494683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2952645698","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6163802,0.00007200977,0.3817126,0.00030099959,0.0006814202,0.000320927,0.0000072951602,0.000003718089,0.0005208035],"genre_scores_gemma":[0.7112311,0.00001545672,0.2883191,0.000004599241,0.00007581655,0.000031349166,0.0000023950874,0.0000055807077,0.00031455286],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981048,0.00009388801,0.00062248576,0.00013958456,0.00085704564,0.00018215594],"domain_scores_gemma":[0.9978305,0.0005192974,0.00021193021,0.00008009689,0.0012822914,0.00007589205],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004758748,0.000060597707,0.00016110178,0.00073250185,0.0001049308,0.0001231742,0.0003153164,0.000035106335,0.00003901686],"category_scores_gemma":[0.0010801399,0.00004431608,0.000037417998,0.00027257955,0.00025660696,0.00012704148,0.00013173121,0.00011797338,8.5459925e-7],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000740594,0.0019054088,0.0027251695,0.0001768968,0.00017826042,0.000014780639,0.0077194977,0.0000047509193,0.61707336,0.019519504,0.0055737505,0.344368],"study_design_scores_gemma":[0.0034671666,0.0018224563,0.01165858,0.0020269034,0.000012406549,0.00005483136,0.0014597649,0.0016804645,0.34306535,0.54890025,0.085514516,0.00033728752],"about_ca_topic_score_codex":0.0000052708147,"about_ca_topic_score_gemma":0.000084528714,"teacher_disagreement_score":0.5293808,"about_ca_system_score_codex":0.00007202847,"about_ca_system_score_gemma":0.00023518303,"threshold_uncertainty_score":0.18071572},"labels":[],"label_agreement":null},{"id":"W2963330314","doi":"10.1016/j.jmaa.2015.11.064","title":"An embedding technique for the solution of reaction–diffusion equations on algebraic surfaces with isolated singularities","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; King Abdullah University of Science and Technology","keywords":"Gravitational singularity; Mathematics; Embedding; Algebraic number; Reaction–diffusion system; Diffusion; Mathematical analysis; Pure mathematics; Applied mathematics; Thermodynamics; Physics; Computer science","score_opus":0.06865863433459904,"score_gpt":0.3786346667808606,"score_spread":0.3099760324462616,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963330314","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03462534,0.000040371327,0.96434575,0.0004871462,0.000007866224,0.00038403066,0.000008658691,0.000010917058,0.00008990791],"genre_scores_gemma":[0.78104573,0.000014204067,0.21873362,0.000012287106,0.000044203098,0.00009584976,0.0000044998974,0.000009669555,0.000039920527],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988226,0.000101489226,0.00057627884,0.00010876201,0.00029343145,0.00009743153],"domain_scores_gemma":[0.9965976,0.0019771052,0.00058039394,0.00024006974,0.0005065658,0.00009827867],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012482983,0.00010419282,0.00038115095,0.00021280425,0.00018897907,0.000048708655,0.00013905547,0.00005859824,0.000015530604],"category_scores_gemma":[0.0004721952,0.00005731071,0.00015424234,0.000598778,0.00010337215,0.00011654121,0.000014727603,0.0001177363,4.801404e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028647523,0.00285843,0.000120942364,0.00023254247,0.0018453767,5.2015395e-7,0.0013325351,0.002714974,0.04993723,0.9196448,0.000111479225,0.020914746],"study_design_scores_gemma":[0.00040901103,0.0007022701,0.00017993245,0.000097340846,0.0030375468,0.000012869494,0.0013369158,0.16713016,0.0032945927,0.8235088,0.00015321985,0.00013736077],"about_ca_topic_score_codex":0.000008438479,"about_ca_topic_score_gemma":0.00000796927,"teacher_disagreement_score":0.7464204,"about_ca_system_score_codex":0.000025346215,"about_ca_system_score_gemma":0.00003739415,"threshold_uncertainty_score":0.23370628},"labels":[],"label_agreement":null},{"id":"W2964046503","doi":"10.1155/2018/5163492","title":"Singular Perturbation of Nonlinear Systems with Regular Singularity","year":2018,"lang":"lv","type":"article","venue":"Discrete Dynamics in Nature and Society","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of British Columbia; Fundação de Amparo à Pesquisa do Estado de São Paulo","keywords":"Algorithm; Computer science; Artificial intelligence","score_opus":0.012547617974026893,"score_gpt":0.3025297325554655,"score_spread":0.28998211458143863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964046503","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61678195,0.0027270517,0.37473798,0.00045891292,0.0009187625,0.0009195212,0.00029051083,0.000053022442,0.0031123133],"genre_scores_gemma":[0.8301684,0.00027791297,0.16841146,0.00007353118,0.0002643574,0.0000075149856,0.00013686782,0.000049387574,0.0006105576],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.997921,0.00025510098,0.0005773955,0.00045426036,0.000457,0.0003352676],"domain_scores_gemma":[0.9982776,0.00036477356,0.00038138923,0.000480034,0.00039886672,0.00009735079],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009205701,0.0003214158,0.0006619007,0.000069392176,0.00020457998,0.00011384857,0.0001930593,0.00087706564,0.000011403149],"category_scores_gemma":[0.00031983375,0.00025585885,0.00019920028,0.0005562386,0.00063787156,0.00014165883,0.00010565437,0.00086765585,7.62369e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022718075,0.0006647297,0.003869291,0.002532819,0.00058436097,0.000009038813,0.009795147,0.000037381127,0.00038640102,0.9761406,0.00012881878,0.0056242202],"study_design_scores_gemma":[0.0009827379,0.0005076026,0.0011850474,0.00093839964,0.0003136672,0.000008825411,0.005681881,0.93539613,0.00013282648,0.05403814,0.0003655481,0.00044920543],"about_ca_topic_score_codex":0.00013270402,"about_ca_topic_score_gemma":0.00008900344,"teacher_disagreement_score":0.93535876,"about_ca_system_score_codex":0.00019747695,"about_ca_system_score_gemma":0.00008876569,"threshold_uncertainty_score":0.9999894},"labels":[],"label_agreement":null},{"id":"W2972473638","doi":"10.5539/jmr.v11n5p1","title":"Blow-up for Semidiscretization of Semilinear Parabolic Equation With Nonlinear Boundary Condition","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Lambda; Convergence (economics); Mathematical analysis; Nonlinear system; Boundary value problem; Boundary (topology); Zero (linguistics); Flux (metallurgy); Physics","score_opus":0.17548156818165153,"score_gpt":0.4733599835157348,"score_spread":0.2978784153340832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2972473638","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.59875906,0.000060032155,0.39993533,0.00014915678,0.000118602955,0.0005813281,0.000020377653,0.000008040522,0.0003680971],"genre_scores_gemma":[0.4598259,0.0000689196,0.53896046,0.0000092488235,0.00020417452,0.00002206276,0.000022031827,0.000053253138,0.0008339742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99724334,0.00026579644,0.0009131696,0.00013221997,0.001188274,0.0002571978],"domain_scores_gemma":[0.9937267,0.0030929768,0.0007761929,0.00029333791,0.0020121692,0.00009863966],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0044657877,0.00013022176,0.00051257084,0.0003891163,0.00009774086,0.00006438167,0.0002545923,0.000109253415,0.00029552483],"category_scores_gemma":[0.0025276626,0.000091918584,0.000144795,0.0004499128,0.00012468542,0.00021895421,0.00004084521,0.00033297297,0.000012826983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002785084,0.008760212,0.0017082206,0.017963763,0.0016722085,0.00001699143,0.017271709,0.0021296015,0.27866983,0.62434727,0.007076829,0.037598286],"study_design_scores_gemma":[0.004282278,0.004405328,0.00015390124,0.0017117298,0.00025592116,0.00006723703,0.0034840864,0.14961164,0.089417145,0.74386054,0.002398335,0.00035184572],"about_ca_topic_score_codex":0.0000035376218,"about_ca_topic_score_gemma":0.0000022436673,"teacher_disagreement_score":0.18925269,"about_ca_system_score_codex":0.00007079072,"about_ca_system_score_gemma":0.00025819373,"threshold_uncertainty_score":0.3748331},"labels":[],"label_agreement":null},{"id":"W2974424777","doi":"10.1007/978-3-030-41032-2_1","title":"First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations","year":2020,"lang":"en","type":"preprint","venue":"Lecture notes in computer science","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Discretization; Polygon mesh; Finite element method; A priori and a posteriori; Piecewise; Robustness (evolution); Reaction–diffusion system; Norm (philosophy); Mathematics; Applied mathematics; Singular perturbation; Mathematical analysis; Geometry; Physics","score_opus":0.08132802258072322,"score_gpt":0.3540003999508329,"score_spread":0.27267237737010963,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2974424777","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004062054,0.000053154155,0.99026906,0.0018447484,0.0023494402,0.0011755828,0.000041801628,0.00018366317,0.000020480995],"genre_scores_gemma":[0.46125272,0.0000027930425,0.5381227,0.00014245223,0.00031381837,0.00011517659,0.000024995912,0.000022888491,0.0000024481428],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9969024,0.00016717678,0.00072863634,0.0010399806,0.0007052117,0.00045656506],"domain_scores_gemma":[0.9939634,0.0042553125,0.00043028034,0.0007336624,0.00046552115,0.00015182972],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00091744936,0.00038528096,0.0005654556,0.00037315066,0.0004962189,0.00047524704,0.0009238744,0.00025424812,0.000015241843],"category_scores_gemma":[0.005911094,0.00033409343,0.00018115384,0.001078341,0.00017747174,0.00015764496,0.00088238536,0.00056890125,0.000007219904],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014758571,0.0010592781,0.000401421,0.004205344,0.00014011859,0.000017557917,0.008636647,0.14828727,0.006165684,0.022315284,0.00007460477,0.8085492],"study_design_scores_gemma":[0.00031318987,0.000116155556,0.00013110519,0.00054998894,0.000043846292,0.0000015740761,0.0000067074125,0.83884084,0.0003707464,0.15918767,0.00012526341,0.00031290675],"about_ca_topic_score_codex":0.000101276375,"about_ca_topic_score_gemma":0.00008803156,"teacher_disagreement_score":0.8082363,"about_ca_system_score_codex":0.00033762676,"about_ca_system_score_gemma":0.00030234814,"threshold_uncertainty_score":0.9999111},"labels":[],"label_agreement":null},{"id":"W2976790165","doi":"10.18280/mmep.060319","title":"Breather Wave and Kinky Periodic Wave Solutions of One-Dimensional Oskolkov Equation","year":2019,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Breather; Physics; Mathematical physics; Classical mechanics; Mathematical analysis; Mathematics; Nonlinear system; Quantum mechanics","score_opus":0.12363310184298336,"score_gpt":0.2662989046493502,"score_spread":0.14266580280636681,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2976790165","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2597871,0.000118814314,0.7393313,0.000068455425,0.000041109357,0.0002276407,0.0000040462464,0.00006008317,0.00036144405],"genre_scores_gemma":[0.68901294,0.000016470147,0.31069484,0.0000053207887,0.000017994154,0.000019964535,0.0000029855137,0.000027170921,0.00020232853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99884707,0.00003194318,0.00041130045,0.00023019276,0.00023071363,0.00024880224],"domain_scores_gemma":[0.9989783,0.0005763164,0.00008316956,0.00020069072,0.000060314287,0.00010118979],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048525791,0.00017673676,0.00038764728,0.0000962805,0.00006323149,0.000038791448,0.000042998574,0.000108550754,0.000104859726],"category_scores_gemma":[0.000119501805,0.00015113251,0.00006416378,0.00010921798,0.000049942442,0.000083253595,0.0000660283,0.00015691068,0.000009002277],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018724559,0.00039284705,0.000014690707,0.0026273264,0.00014230478,9.589558e-7,0.0020409499,0.114198275,0.008779683,0.86706984,0.000010104384,0.0047043012],"study_design_scores_gemma":[0.00019954999,0.00005954972,0.000013636454,0.0003009033,0.000048919817,0.000008497688,0.000016915248,0.71660304,0.0001629148,0.28243655,0.000018124452,0.0001313619],"about_ca_topic_score_codex":0.00000934038,"about_ca_topic_score_gemma":1.9769853e-7,"teacher_disagreement_score":0.6024048,"about_ca_system_score_codex":0.000016740445,"about_ca_system_score_gemma":0.000011097924,"threshold_uncertainty_score":0.6163005},"labels":[],"label_agreement":null},{"id":"W2986662304","doi":"10.5539/jmr.v11n6p29","title":"Blow-up for Discretizations of a Nonlinear Parabolic Equation With Nonlinear Memory and Mixt Boundary Condition","year":2019,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Zero (linguistics); Boundary value problem; Nonlinear system; Boundary (topology); Discrete time and continuous time; Mathematical analysis; Value (mathematics); Combinatorics; Mathematical physics; Physics; Quantum mechanics","score_opus":0.14584027988922194,"score_gpt":0.4554581954115804,"score_spread":0.30961791552235846,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2986662304","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7198146,0.00008550201,0.27871513,0.00029313556,0.00008863509,0.00063385983,0.00003846504,0.0000069022885,0.00032378818],"genre_scores_gemma":[0.281777,0.00009739338,0.7171483,0.000010694783,0.00015879034,0.000025418998,0.000016384842,0.000047628815,0.0007183859],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977381,0.00023037686,0.0007730058,0.00013298733,0.000889308,0.00023619834],"domain_scores_gemma":[0.9943946,0.003286075,0.0005872358,0.00026063115,0.0013545612,0.00011691217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003129624,0.00012696307,0.00049469114,0.00038293024,0.00012725807,0.000081046404,0.00019787134,0.00008882694,0.00018374897],"category_scores_gemma":[0.002184103,0.00008870086,0.00010715337,0.00036474035,0.00019691142,0.0002082534,0.000053359396,0.00030724844,0.000005894105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0034674336,0.01451658,0.001771016,0.025713604,0.0028224357,0.00003213647,0.035069652,0.00091637054,0.14298242,0.67873067,0.0047708866,0.089206815],"study_design_scores_gemma":[0.0061568026,0.0042715417,0.00036268996,0.0019627013,0.00042582743,0.0001345813,0.007391736,0.21539944,0.028291184,0.7331899,0.0019559453,0.0004576338],"about_ca_topic_score_codex":0.0000048188617,"about_ca_topic_score_gemma":0.000004838869,"teacher_disagreement_score":0.4384332,"about_ca_system_score_codex":0.000041261887,"about_ca_system_score_gemma":0.00022576386,"threshold_uncertainty_score":0.36171162},"labels":[],"label_agreement":null},{"id":"W2987735280","doi":"10.1155/2019/9030565","title":"Rational Spectral Collocation Combined with the Singularity Separated Method for a System of Singularly Perturbed Boundary Value Problems","year":2019,"lang":"en","type":"article","venue":"Mathematical Problems in Engineering","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"North Minzu University; Natural Science Foundation of Ningxia Province","keywords":"Mathematics; Collocation (remote sensing); Singularity; Mathematical analysis; Boundary value problem; Singular boundary method; Boundary (topology); Collocation method; Transformation (genetics); Spectral method; Applied mathematics; Ordinary differential equation; Differential equation; Computer science; Physics; Boundary element method","score_opus":0.023422656642318455,"score_gpt":0.29289273867646026,"score_spread":0.2694700820341418,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2987735280","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03424203,0.00003092601,0.96253574,0.00022222738,0.00008881021,0.0023307428,0.0000101249525,0.00010755448,0.00043182512],"genre_scores_gemma":[0.57505584,2.8902014e-7,0.42449507,0.000007871525,0.000022254973,0.00025963975,0.000010920979,0.000038938862,0.00010920314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99819446,0.00015549902,0.00067664863,0.0002771904,0.00037985024,0.00031633512],"domain_scores_gemma":[0.9973483,0.0018576535,0.00021625274,0.00034768603,0.0001715975,0.00005851167],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017381372,0.0002445035,0.00059183786,0.00012387494,0.00007334571,0.000084132145,0.00022041818,0.00011701754,0.000025206258],"category_scores_gemma":[0.0005177656,0.00016254536,0.00011311519,0.00048405386,0.000060035036,0.00012566289,0.000039122944,0.00023262446,0.0000036446113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000083449086,0.00039890627,0.000038806444,0.00591689,0.00013267431,6.536499e-7,0.0013867163,0.0944076,0.015058278,0.88234913,0.000026279073,0.0002006144],"study_design_scores_gemma":[0.0010655744,0.0003306727,0.00006153268,0.00076975813,0.000078392186,0.00001117992,0.00011773342,0.8419765,0.0014122137,0.15389669,0.000064036634,0.00021567536],"about_ca_topic_score_codex":0.000011834895,"about_ca_topic_score_gemma":0.000005026511,"teacher_disagreement_score":0.7475689,"about_ca_system_score_codex":0.00014506538,"about_ca_system_score_gemma":0.00007570339,"threshold_uncertainty_score":0.6628407},"labels":[],"label_agreement":null},{"id":"W3010738241","doi":"10.31390/josa.1.1.05","title":"Exit Problems for Jump-Diffusion Processes with Uniform Jumps","year":2020,"lang":"en","type":"article","venue":"Journal of Stochastic Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Polytechnique Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Jump; Jump diffusion; Diffusion; Statistical physics; Computer science; Mathematics; Physics; Thermodynamics","score_opus":0.09157995428973563,"score_gpt":0.340637400503949,"score_spread":0.24905744621421333,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3010738241","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.021441076,0.00007500683,0.9773733,0.0007708677,0.000024092145,0.00018928677,0.0000094289835,0.00001576096,0.000101194506],"genre_scores_gemma":[0.76353115,0.000023300221,0.23601186,0.00009501862,0.00019664469,0.000014596606,0.0000051300344,0.000023190538,0.000099129975],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99864227,0.00003493758,0.0005991676,0.00014559734,0.00040640993,0.00017163467],"domain_scores_gemma":[0.9974556,0.000803537,0.00074744003,0.00011392726,0.0006828997,0.00019661988],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00033591007,0.00014995431,0.00062947534,0.00039847282,0.00009334513,0.000051689025,0.00019792496,0.000049337657,0.00012285277],"category_scores_gemma":[0.0018637502,0.00009326837,0.0002952412,0.0021457456,0.0000417743,0.00013967871,0.000025663057,0.00013997803,0.000001927725],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.015476128,0.013247377,0.004715281,0.021985771,0.09206577,0.00017881369,0.03970505,0.41773313,0.01322305,0.17938592,0.017413143,0.18487057],"study_design_scores_gemma":[0.007455088,0.009452452,0.00076285895,0.0009091931,0.051950734,0.0000734554,0.0042819893,0.5123188,0.00096931105,0.4083867,0.0019630168,0.0014764204],"about_ca_topic_score_codex":0.000004179567,"about_ca_topic_score_gemma":0.000012067929,"teacher_disagreement_score":0.74209005,"about_ca_system_score_codex":0.00002238282,"about_ca_system_score_gemma":0.0001074287,"threshold_uncertainty_score":0.38033736},"labels":[],"label_agreement":null},{"id":"W3015421918","doi":"10.5539/jmr.v12n3p1","title":"On the Construction of Approximate Solutions for the 1D Pollutant Transport Model","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Infinity; Stability (learning theory); Applied mathematics; Mathematical analysis; Computer science","score_opus":0.5153160811413294,"score_gpt":0.4741782766498335,"score_spread":0.041137804491495955,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3015421918","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03982229,0.00004860069,0.94743943,0.011514685,0.00006131748,0.0005160426,0.000034142704,0.000005741176,0.0005577691],"genre_scores_gemma":[0.6672031,0.00009037967,0.33239773,0.000060051872,0.000111099944,0.000030046109,3.168425e-7,0.000026934538,0.0000803294],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99782383,0.00019657692,0.00072510075,0.000084473635,0.0009032028,0.00026679397],"domain_scores_gemma":[0.99200815,0.006658192,0.0004082698,0.00025097255,0.0005838826,0.000090539455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005058588,0.0000966741,0.0003217196,0.0000995785,0.00031041048,0.000031302712,0.0004648598,0.00005567204,0.000079695914],"category_scores_gemma":[0.00427497,0.00004588395,0.00025450383,0.00033870424,0.00026696548,0.000045350236,0.000045384208,0.00047392814,0.0000021682001],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010523293,0.0003112027,0.0000010100489,0.00027288002,0.00012824354,7.626132e-7,0.0020787006,0.00093895895,0.004862119,0.98744005,0.001037654,0.00282316],"study_design_scores_gemma":[0.00023870452,0.00024133359,0.0000028740951,0.0000778014,0.00006907747,0.000009108873,0.0017646078,0.3467369,0.0018358951,0.6489033,0.000080969774,0.000039428753],"about_ca_topic_score_codex":0.0000014640606,"about_ca_topic_score_gemma":8.564811e-7,"teacher_disagreement_score":0.6273808,"about_ca_system_score_codex":0.000031822845,"about_ca_system_score_gemma":0.00014680176,"threshold_uncertainty_score":0.51178473},"labels":[],"label_agreement":null},{"id":"W3018283196","doi":"10.5539/jmr.v12n3p23","title":"Oscillate Criteria of Third Order Semi-linear Neutral Delay Differential Equations","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Guangdong University of Petrochemical Technology","keywords":"Mathematics; Oscillation (cell signaling); Linear differential equation; Class (philosophy); Order (exchange); Delay differential equation; Differential equation; Mathematical analysis; Third order; Riccati equation; Applied mathematics; Differential (mechanical device)","score_opus":0.3481769243791782,"score_gpt":0.5001878605037533,"score_spread":0.1520109361245751,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3018283196","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36832163,0.000061192964,0.628791,0.0012935824,0.00017623173,0.00023501687,0.000016882641,0.000016865419,0.0010876391],"genre_scores_gemma":[0.72501796,0.000066487184,0.274151,0.000031518895,0.00039492908,0.0000060060133,0.000002045147,0.000046434776,0.00028359878],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960931,0.00060939137,0.0014145466,0.00017033493,0.0013134342,0.000399192],"domain_scores_gemma":[0.9935764,0.003395707,0.0006430724,0.00031955165,0.0017342301,0.0003310201],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.0024749949,0.00018578174,0.00073783734,0.00031502874,0.00014021958,0.000083870305,0.000598576,0.00013531912,0.00080799736],"category_scores_gemma":[0.008948728,0.00013689605,0.00027934398,0.00083622703,0.00018580898,0.00017695394,0.00021122926,0.0007906944,0.000029971547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009517518,0.008203534,0.00019962511,0.0064782053,0.0018342043,0.00018197767,0.031182963,0.0010100068,0.3964841,0.5091274,0.03561295,0.0087333415],"study_design_scores_gemma":[0.0029891804,0.002584501,0.00012551335,0.00079590897,0.0004290769,0.00009425084,0.0030989856,0.33065826,0.0361233,0.6206499,0.0018564471,0.0005947198],"about_ca_topic_score_codex":0.000007081073,"about_ca_topic_score_gemma":0.000002369509,"teacher_disagreement_score":0.3603608,"about_ca_system_score_codex":0.000046126344,"about_ca_system_score_gemma":0.000206646,"threshold_uncertainty_score":0.9993993},"labels":[],"label_agreement":null},{"id":"W3025890008","doi":"10.1088/1751-8121/42/5/050201","title":"Special issue on Symmetries and Integrability of Difference Equations","year":2009,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Subject (documents); Homogeneous space; Field (mathematics); Index (typography); Mathematics; Computer science; Library science; Pure mathematics; World Wide Web; Geometry","score_opus":0.037976616307421586,"score_gpt":0.34145598684135653,"score_spread":0.3034793705339349,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3025890008","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5969206,0.00003437742,0.38927835,0.002234861,0.00015921035,0.0002097056,0.0000109185075,0.000013145769,0.011138834],"genre_scores_gemma":[0.9609363,0.000018179464,0.037935346,0.00006404454,0.000993324,0.0000010664844,2.6695494e-7,0.000007383255,0.000044071792],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986569,0.0001540531,0.0005989451,0.00011595707,0.00033787524,0.00013622332],"domain_scores_gemma":[0.995738,0.0035128572,0.00024752668,0.0001501554,0.00020821432,0.0001432457],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006738187,0.00014311289,0.0005603874,0.00006235732,0.000050724768,0.000038017417,0.00011224359,0.00006505505,0.0002715507],"category_scores_gemma":[0.004605041,0.000088695415,0.00012391258,0.00015580526,0.00059311814,0.00006219258,0.000035594676,0.00025223626,0.0000028508755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007488419,0.0007153706,0.000007130034,0.00006608263,0.000024382734,0.0000012306751,0.0003418366,1.3839913e-7,0.00020462998,0.8911246,0.000065947854,0.107373774],"study_design_scores_gemma":[0.00030919444,0.00094104925,0.00022652838,0.00016704392,0.00010093528,0.000010384713,0.00010101942,0.0010223313,0.0018784349,0.99511415,0.000039067538,0.0000898883],"about_ca_topic_score_codex":1.92149e-7,"about_ca_topic_score_gemma":3.8470212e-8,"teacher_disagreement_score":0.36401573,"about_ca_system_score_codex":0.000011709247,"about_ca_system_score_gemma":0.000020197014,"threshold_uncertainty_score":0.5512997},"labels":[],"label_agreement":null},{"id":"W3040431016","doi":"10.12732/ijam.v33i3.6","title":"ON QUARTER-SWEEP FINITE DIFFERENCE SCHEME FOR ONE-DIMENSIONAL POROUS MEDIUM EQUATIONS","year":2020,"lang":"en","type":"article","venue":"International Journal of Apllied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Universiti Malaysia Sabah","keywords":"Quarter (Canadian coin); Porous medium; Scheme (mathematics); Finite difference method; Finite difference scheme; Finite difference; Mathematics; Porosity; Mathematical analysis; Applied mathematics; Materials science; History; Composite material; Archaeology","score_opus":0.12865703379594157,"score_gpt":0.3735884531537642,"score_spread":0.24493141935782264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3040431016","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03563846,0.000018089691,0.9551697,0.007559862,0.0007130056,0.00028001604,0.00006553037,0.000041035946,0.00051432574],"genre_scores_gemma":[0.4300199,0.000008755127,0.5682421,0.0009015688,0.00062305125,0.000021033416,0.000015926014,0.000041678755,0.00012599782],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99717855,0.00007453631,0.0011773268,0.000199357,0.001146779,0.00022343599],"domain_scores_gemma":[0.9914782,0.0061804787,0.0010284786,0.00019214871,0.0008921117,0.000228565],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00057116227,0.00023842105,0.00053073495,0.00019315748,0.00008305456,0.00010551433,0.0006746544,0.00010713497,0.00030606505],"category_scores_gemma":[0.00800172,0.00019696383,0.00029597434,0.00015389585,0.00006286327,0.00013960738,0.00007563022,0.0003162877,0.00003663141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005445732,0.0026478935,0.000011621635,0.00021459942,0.00085762405,0.000028295195,0.002916385,0.0006647006,0.013447447,0.9640909,0.0043082465,0.010267724],"study_design_scores_gemma":[0.001985906,0.00096232793,0.000046950605,0.00033180695,0.00017052333,0.000021035208,0.00026291792,0.08961646,0.0035770242,0.902349,0.00039307674,0.00028300277],"about_ca_topic_score_codex":0.0000013801966,"about_ca_topic_score_gemma":0.0000012114077,"teacher_disagreement_score":0.39438143,"about_ca_system_score_codex":0.00008086571,"about_ca_system_score_gemma":0.00013126536,"threshold_uncertainty_score":0.9579384},"labels":[],"label_agreement":null},{"id":"W3042411205","doi":"10.1007/978-81-322-3640-5","title":"Applied Analysis in Biological and Physical Sciences","year":2016,"lang":"en","type":"book","venue":"Springer proceedings in mathematics & statistics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Biological sciences; Mathematical sciences; Management science; Computer science; Data science; Mathematics; Engineering; Mathematics education; Biology; Computational biology","score_opus":0.07425784014477498,"score_gpt":0.36104276927893514,"score_spread":0.28678492913416015,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3042411205","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04688837,0.00017779852,0.498605,0.00011640063,0.00021280456,0.0021384312,0.00039243067,0.00018361401,0.45128512],"genre_scores_gemma":[0.016155688,0.00025965637,0.9599305,0.000022360435,0.00020307301,0.00012989216,0.000014557677,0.00009403413,0.023190264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99726605,0.000025304882,0.0009375919,0.00070861634,0.00055404566,0.00050841103],"domain_scores_gemma":[0.9967021,0.0023107836,0.0005721313,0.00019479932,0.00010767051,0.0001125445],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013195795,0.0004951682,0.0014321088,0.00087663915,0.000087970635,0.00013909632,0.0004048176,0.00031699243,0.00010990603],"category_scores_gemma":[0.0013998667,0.0003585068,0.00011804793,0.00058285083,0.0005788332,0.000068427296,0.00029861223,0.0004937562,0.0000230168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009236439,0.0002904333,0.0003736823,0.0005782148,0.00013588465,0.0000067144083,0.001451306,8.179143e-7,0.00009998588,0.9894144,0.00027563126,0.007363697],"study_design_scores_gemma":[0.00028103226,0.00007984511,0.0004185258,0.0003206858,0.00034362913,0.00000150173,0.00011037228,0.0028273335,0.00003371489,0.9945712,0.0005373322,0.00047480463],"about_ca_topic_score_codex":0.000002455584,"about_ca_topic_score_gemma":0.000012385118,"teacher_disagreement_score":0.46132547,"about_ca_system_score_codex":0.00018219068,"about_ca_system_score_gemma":0.0000990486,"threshold_uncertainty_score":0.9998867},"labels":[],"label_agreement":null},{"id":"W3043632056","doi":"10.3934/dcdss.2020417","title":"Preface: Recent advances in bifurcation theory and application","year":2020,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems - S","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Bifurcation; Computer science; Physics; Quantum mechanics; Nonlinear system","score_opus":0.018137273927316414,"score_gpt":0.315747345517018,"score_spread":0.2976100715897016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3043632056","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25845084,0.00452855,0.73357224,0.0009018591,0.00008242233,0.0008086793,0.000017669598,0.000086011954,0.001551704],"genre_scores_gemma":[0.9974439,0.00077104394,0.0014475002,0.000072403,0.0000515344,0.000108099346,0.000016020398,0.000014268397,0.00007521854],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885094,0.00029552646,0.00031617522,0.00027352752,0.000121689045,0.00014215999],"domain_scores_gemma":[0.999307,0.0003362366,0.00011023465,0.00010766681,0.00003297893,0.00010588468],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038102368,0.00011945161,0.00028214208,0.000029257882,0.00005009614,0.000055566186,0.00006819453,0.000072784256,0.000007035457],"category_scores_gemma":[0.00033849588,0.000093777584,0.000023221473,0.00015139028,0.00005600827,0.00012238097,0.000043203316,0.00010312154,0.0000018725525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013981316,0.000065760905,0.0017593366,0.0003171245,0.000019642337,0.0000011580327,0.00072445464,0.000014019906,0.0018073699,0.57894796,0.000019282203,0.41618407],"study_design_scores_gemma":[0.0029334803,0.00071653863,0.0095181065,0.00043535297,0.00021740311,0.000016021224,0.005173307,0.4251967,0.00022387045,0.5035562,0.05081365,0.0011993756],"about_ca_topic_score_codex":0.000020890539,"about_ca_topic_score_gemma":0.000013257968,"teacher_disagreement_score":0.73899305,"about_ca_system_score_codex":0.000016658669,"about_ca_system_score_gemma":0.0000058379183,"threshold_uncertainty_score":0.3824139},"labels":[],"label_agreement":null},{"id":"W3077846870","doi":"10.5539/jmr.v12n5p1","title":"A Mixed Volume Element With Characteristic Mixed Volume Element for Contamination Transport Problem","year":2020,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Convection–diffusion equation; Mathematical analysis; Ordinary differential equation; Partial differential equation; Darcy–Weisbach equation; Representative elementary volume; Mechanics; Differential equation; Porous medium; Finite element method; Thermodynamics; Chemistry; Porosity; Physics","score_opus":0.2341025172621788,"score_gpt":0.41819101278199794,"score_spread":0.18408849551981915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3077846870","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18305479,0.000026569347,0.8117245,0.0034920957,0.00008828419,0.0013102787,0.00003724197,0.000022591092,0.00024363822],"genre_scores_gemma":[0.45839706,0.00002974371,0.5400645,0.000041078172,0.00025897063,0.00015532623,0.000016088816,0.00006947483,0.0009677396],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99579316,0.0003424295,0.001412989,0.00024177543,0.0016801642,0.00052947877],"domain_scores_gemma":[0.99603665,0.0010945005,0.00081105967,0.00025932782,0.0014515283,0.00034693957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004980887,0.00023447152,0.00075610244,0.00025869205,0.00018764957,0.00011353682,0.00046138355,0.000096025964,0.00037912268],"category_scores_gemma":[0.0015382156,0.00017012944,0.00022533788,0.00043892168,0.00009979993,0.00019090228,0.000056268742,0.00052279606,0.000020846546],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0071430374,0.02802852,0.0051786043,0.040848512,0.006300951,0.00052531075,0.058000788,0.00034638593,0.090461425,0.40266138,0.095660865,0.26484424],"study_design_scores_gemma":[0.022963168,0.036699373,0.009182266,0.0042443927,0.0024989753,0.0002774239,0.02154075,0.29048857,0.030199215,0.4747883,0.104526915,0.0025906584],"about_ca_topic_score_codex":0.0000040703276,"about_ca_topic_score_gemma":0.000009357125,"teacher_disagreement_score":0.29014218,"about_ca_system_score_codex":0.00017752445,"about_ca_system_score_gemma":0.00024165807,"threshold_uncertainty_score":0.6937677},"labels":[],"label_agreement":null},{"id":"W3109220575","doi":"10.13130/zanotti-pietro_phd2018-02-27","title":"QUASI-OPTIMAL NONCONFORMING METHODS FOR SYMMETRIC ELLIPTIC PROBLEMS","year":2018,"lang":"en","type":"dissertation","venue":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Applied mathematics; Mathematics","score_opus":0.0658849127937246,"score_gpt":0.36664102830805995,"score_spread":0.30075611551433534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3109220575","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.047302477,0.001391817,0.83970803,0.00008330251,0.002324034,0.0027633153,0.0003655275,0.0002823073,0.1057792],"genre_scores_gemma":[0.013368138,0.0005622832,0.91520935,0.000056742127,0.0007137681,0.00027551432,0.002272101,0.00025479108,0.067287296],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957635,0.0003951878,0.0009485839,0.0011941349,0.00071527244,0.0009833382],"domain_scores_gemma":[0.9928579,0.004359898,0.00089308695,0.0007954493,0.00073835585,0.00035532273],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011734059,0.00090647745,0.0014268989,0.0012511368,0.0010867867,0.00013392717,0.0010419493,0.00045403006,0.00032920996],"category_scores_gemma":[0.0011274657,0.000918568,0.0008220062,0.0013409315,0.00020748192,0.00028669773,0.0002524834,0.00061318075,0.00013077169],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013183969,0.0035418556,0.00014172323,0.0048563574,0.0037705845,0.00004671585,0.0114439605,0.0000867435,0.000918013,0.56684536,0.009817278,0.397213],"study_design_scores_gemma":[0.01081807,0.0073468643,0.0060749943,0.0035760037,0.014811092,0.00010557033,0.025177078,0.09332265,0.001918349,0.42128786,0.40579423,0.009767213],"about_ca_topic_score_codex":0.00010089828,"about_ca_topic_score_gemma":0.00031443557,"teacher_disagreement_score":0.39597696,"about_ca_system_score_codex":0.00035776696,"about_ca_system_score_gemma":0.00038528605,"threshold_uncertainty_score":0.99932647},"labels":[],"label_agreement":null},{"id":"W3112376097","doi":"10.7492/ijaec.2020.012","title":"Analysis of Existing Methods of Providing Silent Boundary","year":2020,"lang":"en","type":"article","venue":"International Journal of Architecture Engineering and Construction","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Computer science; Boundary (topology); Mathematics; Mathematical analysis","score_opus":0.05535763738569234,"score_gpt":0.37377319528004216,"score_spread":0.31841555789434983,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3112376097","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30580857,0.00008608117,0.69364756,0.00016188175,0.00021242445,0.000020268944,0.0000048484176,0.0000060033176,0.00005231546],"genre_scores_gemma":[0.5171895,0.000008211375,0.4827113,0.000005652093,0.00007903257,3.5502984e-7,7.229228e-7,0.000004035539,0.000001231271],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9991366,0.000062724364,0.00046674028,0.00006728857,0.00021561993,0.0000509747],"domain_scores_gemma":[0.99882144,0.000463191,0.00041824018,0.00004046556,0.00020698381,0.000049690636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003177809,0.00006993088,0.00028943154,0.00032114293,0.000013218371,0.000014616906,0.00010107038,0.000029224393,0.000016519463],"category_scores_gemma":[0.0010885175,0.00005845683,0.00014618415,0.00025763013,0.000041038515,0.000046624482,0.000029117786,0.00014392767,2.0381856e-8],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016787495,0.00005454443,0.0016121186,0.00018905662,0.0034479767,0.0000051092184,0.002475741,0.031997614,0.12232577,0.031128932,0.0000039749466,0.8065913],"study_design_scores_gemma":[0.002969971,0.0013695707,0.013050215,0.0012592777,0.0063426066,0.0006349448,0.002084613,0.64638925,0.22107005,0.09921959,0.0047584637,0.0008514656],"about_ca_topic_score_codex":0.0000032074975,"about_ca_topic_score_gemma":2.0776771e-7,"teacher_disagreement_score":0.8057398,"about_ca_system_score_codex":0.0000138777605,"about_ca_system_score_gemma":0.000021029537,"threshold_uncertainty_score":0.23838004},"labels":[],"label_agreement":null},{"id":"W3121012624","doi":"","title":"Extrapolation and a-posteriori error estimators of Petrov-Galerkin methods for non-linear Volterra integro-differential equations","year":2001,"lang":"en","type":"article","venue":"Journal of Computational Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Extrapolation; Petrov–Galerkin method; Estimator; Applied mathematics; Mathematics; A priori and a posteriori; Mathematical analysis; Statistics; Physics; Finite element method; Philosophy","score_opus":0.11828008648416494,"score_gpt":0.45368072521588193,"score_spread":0.335400638731717,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3121012624","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15400198,0.000048925016,0.8450796,0.0001548526,0.0003004551,0.00029041703,0.000012713922,0.00001329473,0.00009774517],"genre_scores_gemma":[0.34785384,0.000007723424,0.65192354,0.000011859072,0.00011668786,0.000008124892,0.0000069855414,0.00002464141,0.000046596942],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9976371,0.00016789896,0.0014597673,0.0001436642,0.000409032,0.00018252147],"domain_scores_gemma":[0.9923399,0.0051491954,0.0014124782,0.00015252586,0.0008205121,0.0001253835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011603403,0.0002172828,0.0006843935,0.00035905556,0.0001090978,0.000050223538,0.00019551817,0.0001021023,0.00008690097],"category_scores_gemma":[0.002301191,0.00017828315,0.00026691938,0.00026172362,0.0001038444,0.00023404771,0.000048569516,0.00018914734,0.0000012571667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0007868991,0.004740815,0.0005678181,0.0030230577,0.0015764063,0.000011846946,0.010738962,0.012881845,0.025478043,0.6320888,0.000680864,0.3074247],"study_design_scores_gemma":[0.0007893329,0.00032932602,0.00052647287,0.0002206425,0.00021528272,0.00007259689,0.00020220254,0.5482839,0.00046887953,0.4486946,0.00007367644,0.00012312502],"about_ca_topic_score_codex":0.0000019354172,"about_ca_topic_score_gemma":8.1895723e-7,"teacher_disagreement_score":0.53540206,"about_ca_system_score_codex":0.000046674893,"about_ca_system_score_gemma":0.00010685653,"threshold_uncertainty_score":0.7270176},"labels":[],"label_agreement":null},{"id":"W3129958999","doi":"10.3934/math.2021259","title":"Computational study of the convection-diffusion equation using new cubic B-spline approximations","year":2021,"lang":"en","type":"article","venue":"AIMS Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Piecewise; Convection–diffusion equation; Mathematics; Diffusion equation; Convergence (economics); Applied mathematics; Stability (learning theory); Scheme (mathematics); Position (finance); Diffusion; Material derivative; Piecewise linear function; Numerical analysis; Numerical stability; Mathematical optimization; Mathematical analysis; Computer science; Physics","score_opus":0.17652080288649924,"score_gpt":0.3893188482151148,"score_spread":0.21279804532861557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3129958999","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45653778,0.00000998507,0.54261464,0.00010697635,0.00014191943,0.00032246206,0.0000033702613,0.000027379772,0.00023546565],"genre_scores_gemma":[0.5645849,0.0000015840416,0.43475598,0.000025882277,0.000062812745,0.000012256663,0.000008564322,0.000024505907,0.00052349403],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99821615,0.00021104905,0.00070818287,0.00019546252,0.0005255666,0.00014358848],"domain_scores_gemma":[0.99766517,0.0010286171,0.00045294221,0.00046503238,0.000327947,0.000060318293],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036144495,0.00015509108,0.0003311734,0.00007262287,0.00022988918,0.000045644676,0.00017477953,0.00006684401,0.0002260121],"category_scores_gemma":[0.0012123083,0.00011550981,0.00012572273,0.000687838,0.000044419772,0.00009645559,0.00013928681,0.00013984254,0.000007535402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026063008,0.01779193,0.0017697231,0.0010300385,0.0006110228,0.000005172905,0.028125718,0.040977366,0.019606097,0.87557185,0.0010765472,0.013408502],"study_design_scores_gemma":[0.0006824705,0.000058704856,0.0004352519,0.00009063679,0.00019986341,0.000011765522,0.002288806,0.4235344,0.0015689947,0.57099354,0.000020092615,0.00011547318],"about_ca_topic_score_codex":0.000041286505,"about_ca_topic_score_gemma":0.000022287179,"teacher_disagreement_score":0.38255703,"about_ca_system_score_codex":0.000051699488,"about_ca_system_score_gemma":0.00015954129,"threshold_uncertainty_score":0.47103533},"labels":[],"label_agreement":null},{"id":"W3134271050","doi":"","title":"Existence of solutions of fuzzy neutral differential equations in banach spaces","year":2005,"lang":"en","type":"article","venue":"Dynamic Systems and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Banach space; Fuzzy logic; Pure mathematics; C0-semigroup; Differential equation; Applied mathematics; Mathematical analysis; Computer science","score_opus":0.05599824590597621,"score_gpt":0.3451626929430335,"score_spread":0.28916444703705724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3134271050","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22030136,0.0003822577,0.7769581,0.00015303002,0.00004899212,0.00059590454,0.00008694444,0.000025541764,0.0014478539],"genre_scores_gemma":[0.9843963,0.000037337635,0.014926003,0.0000023995328,0.00004159649,0.0002824422,0.000016424918,0.000010606154,0.00028693725],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989043,0.00008404278,0.00055329077,0.00017716849,0.0001221888,0.00015904884],"domain_scores_gemma":[0.9988985,0.00044995605,0.00024170062,0.00027887442,0.0000787061,0.000052256422],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021100337,0.00010420532,0.00030362338,0.00014460961,0.00007953951,0.000017844894,0.00012725692,0.00006534215,0.000013772727],"category_scores_gemma":[0.000067062385,0.00009433451,0.000060999886,0.0003330744,0.00011702107,0.000069402355,0.00004194786,0.00007741955,0.000002200255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000033340502,0.0003160827,0.00017044574,0.00014551291,0.000019683559,4.334005e-8,0.00021978526,0.00021781168,0.0032091807,0.9866193,0.000013379267,0.0090654595],"study_design_scores_gemma":[0.0020175169,0.0002148618,0.020022482,0.0005773101,0.0003716515,0.000013967454,0.0034048816,0.6281725,0.0006099588,0.3411774,0.0025893103,0.00082813995],"about_ca_topic_score_codex":0.0002592666,"about_ca_topic_score_gemma":0.0002527781,"teacher_disagreement_score":0.7640949,"about_ca_system_score_codex":0.000029232373,"about_ca_system_score_gemma":0.000026351738,"threshold_uncertainty_score":0.38468495},"labels":[],"label_agreement":null},{"id":"W3135422282","doi":"","title":"Pseudospectral approximation of hopf bifurcation for delay differential equations","year":2021,"lang":"en","type":"article","venue":"Utrecht University Repository (Utrecht University)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Berlin Mathematical School; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Ode; Mathematics; Ordinary differential equation; Hopf bifurcation; Bifurcation; Bifurcation diagram; Delay differential equation; Saddle-node bifurcation; Applied mathematics; Pitchfork bifurcation; Mathematical analysis; Convergence (economics); Differential equation; Nonlinear system; Physics","score_opus":0.04548413731297288,"score_gpt":0.27216911432437,"score_spread":0.22668497701139714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3135422282","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14588754,0.000019125288,0.8344896,0.0001595409,0.000462579,0.00040033634,0.0000591647,0.00014805693,0.018374102],"genre_scores_gemma":[0.84642935,0.000038131915,0.10448599,0.000010488302,0.00013288118,0.0000013720899,0.0001393598,0.000032387725,0.04873004],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.998277,0.00037723914,0.00030966252,0.00045714993,0.00029620263,0.00028272314],"domain_scores_gemma":[0.9975188,0.0009604623,0.00037361117,0.00047024345,0.0005310944,0.00014579917],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001732366,0.00021918,0.00040419895,0.00041645783,0.00044678518,0.000031940446,0.00033535552,0.00022951425,0.00015107176],"category_scores_gemma":[0.0002861438,0.00026552807,0.00034805754,0.0009715745,0.00013866274,0.00034975485,0.00012956276,0.00018201707,0.0000037693942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00053009496,0.0018633025,0.0005954344,0.00037779164,0.0006755073,0.00012373312,0.0012503683,0.00010484536,0.05929167,0.9152639,0.0013662267,0.018557128],"study_design_scores_gemma":[0.020378057,0.0017935226,0.00455795,0.00089102733,0.007881172,0.00017851383,0.020617133,0.061571967,0.6527044,0.12704086,0.098330006,0.0040553776],"about_ca_topic_score_codex":0.00007353584,"about_ca_topic_score_gemma":0.00003983103,"teacher_disagreement_score":0.788223,"about_ca_system_score_codex":0.00034450408,"about_ca_system_score_gemma":0.00026661396,"threshold_uncertainty_score":0.9999797},"labels":[],"label_agreement":null},{"id":"W3146497799","doi":"10.4208/jcm.1003-m0013","title":"Convergence Rate for Difference Schemes for Polyhedral Nonlinear Parabolic Equations","year":2010,"lang":"en","type":"article","venue":"Journal of Computational Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Nonlinear system; Convergence (economics); Rate of convergence; Mathematics; Applied mathematics; Mathematical analysis; Computer science; Physics; Economics; Macroeconomics; Telecommunications","score_opus":0.08887034537769473,"score_gpt":0.4048158220807206,"score_spread":0.31594547670302586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3146497799","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19645597,0.000015299634,0.8019555,0.00053664256,0.0005655254,0.0003688276,0.000052065967,0.000017699676,0.00003244624],"genre_scores_gemma":[0.25021484,0.000002847962,0.74917215,0.00006337771,0.00033361898,0.00003383244,0.000010306948,0.000024728319,0.00014428735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982923,0.000050746232,0.0009837999,0.0001261976,0.00033270256,0.00021422177],"domain_scores_gemma":[0.9894589,0.00818724,0.0009227547,0.00015757566,0.0011412438,0.00013226278],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010392136,0.00017671226,0.00046435482,0.0001512395,0.00016627154,0.00007706892,0.00029447017,0.00009025861,0.00006864955],"category_scores_gemma":[0.005734475,0.00014108166,0.00029781082,0.0001672056,0.00008583877,0.000142284,0.000027442658,0.00021918368,0.0000043691007],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000059882394,0.0007075675,0.00003147971,0.0002966944,0.00013544099,6.6485484e-7,0.00041907755,0.00046865948,0.0062792706,0.98358065,0.00038170323,0.007638931],"study_design_scores_gemma":[0.000730527,0.0001606146,0.00014637226,0.0000483718,0.00010377282,0.000015241563,0.000053779717,0.25455087,0.0012726126,0.74197406,0.00082306436,0.00012073204],"about_ca_topic_score_codex":5.144819e-7,"about_ca_topic_score_gemma":0.0000016486181,"teacher_disagreement_score":0.2540822,"about_ca_system_score_codex":0.00001873206,"about_ca_system_score_gemma":0.00020218974,"threshold_uncertainty_score":0.68651164},"labels":[],"label_agreement":null},{"id":"W3157678717","doi":"10.18280/mmep.080215","title":"A Finite Difference-Spectral Method for Solving the European Call Option Black–Scholes Equation","year":2021,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Black–Scholes model; Algebraic equation; Mathematics; Convergence (economics); Galerkin method; Spectral method; Applied mathematics; Finite difference method; Order (exchange); Algebraic number; Finite difference; Mathematical optimization; Mathematical analysis; Finite element method; Finance; Econometrics; Physics","score_opus":0.10731000051999036,"score_gpt":0.309956878778934,"score_spread":0.20264687825894367,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3157678717","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009108561,0.00010082235,0.98949075,0.0003192803,0.000072240284,0.00029987274,0.000005116059,0.00014113735,0.00046223085],"genre_scores_gemma":[0.24685322,0.000031279975,0.75251526,0.000015926207,0.00012243616,0.00006173253,0.000008075912,0.00004569609,0.00034636707],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99865466,0.00013685721,0.0004337292,0.000285031,0.00018613104,0.00030359247],"domain_scores_gemma":[0.99705315,0.0024254587,0.000081777755,0.00025214712,0.00009450819,0.00009293665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001396152,0.00020518276,0.00030168126,0.00004883797,0.00016239249,0.00019054564,0.00011911686,0.00007011033,0.000010949447],"category_scores_gemma":[0.000921686,0.00014635116,0.00011919173,0.00014438097,0.000031709766,0.00006675516,0.000061891056,0.00022529317,0.0000055330042],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000055835544,0.00012293381,0.0000010080938,0.0008722812,0.00006056204,0.0000016763355,0.0018023661,0.52293295,0.003951192,0.45994845,0.000014510434,0.010286468],"study_design_scores_gemma":[0.00014735584,0.000022412265,0.000004837683,0.00017698681,0.00005743674,0.0000043927193,0.000033730652,0.63463676,0.00038099915,0.3643409,0.0000690286,0.00012514749],"about_ca_topic_score_codex":0.0000031471234,"about_ca_topic_score_gemma":6.053589e-7,"teacher_disagreement_score":0.23774466,"about_ca_system_score_codex":0.000021588032,"about_ca_system_score_gemma":0.000012358188,"threshold_uncertainty_score":0.5968027},"labels":[],"label_agreement":null},{"id":"W3159595365","doi":"10.1007/s10915-021-01507-x","title":"High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems","year":2021,"lang":"en","type":"article","venue":"Journal of Scientific Computing","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Block (permutation group theory); Stability (learning theory); Finite difference; Finite difference coefficient; Applied mathematics; Order (exchange); Finite difference method; Mathematical analysis; Variable (mathematics); Finite element method; Geometry; Mixed finite element method","score_opus":0.10223711069135266,"score_gpt":0.35672634000405634,"score_spread":0.2544892293127037,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3159595365","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6799086,0.00023987047,0.31866297,0.00024631468,0.00080341485,0.00010009058,0.000004830877,0.000011054721,0.000022894925],"genre_scores_gemma":[0.8219895,0.000010309682,0.17748025,0.000021319687,0.00013286503,5.87798e-7,0.0000023797263,0.000011644509,0.00035117916],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9984273,0.0001241767,0.0006524747,0.00022186709,0.00031606609,0.00025813683],"domain_scores_gemma":[0.9969998,0.0014292742,0.00053211406,0.00018257067,0.00072318054,0.00013305711],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010979463,0.00013488496,0.00041470135,0.00013732219,0.00031623372,0.00040107072,0.00017361078,0.000042087522,0.000030991047],"category_scores_gemma":[0.0016023617,0.00010554163,0.00012190443,0.00045513216,0.00011675607,0.000085793836,0.00007913317,0.00018181013,0.0000013157982],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001673087,0.0036220506,0.0061965934,0.0021471435,0.0009073221,0.00006467962,0.00550718,0.0032205246,0.21363413,0.0865573,0.0029600575,0.6750157],"study_design_scores_gemma":[0.0072068563,0.00076803914,0.014888991,0.0032110927,0.00071671896,0.00043886417,0.001072855,0.507649,0.037749477,0.3944756,0.030601002,0.001221496],"about_ca_topic_score_codex":0.0000019797617,"about_ca_topic_score_gemma":0.0000020252792,"teacher_disagreement_score":0.6737942,"about_ca_system_score_codex":0.000023070972,"about_ca_system_score_gemma":0.000098725475,"threshold_uncertainty_score":0.43038628},"labels":[],"label_agreement":null},{"id":"W3164558513","doi":"","title":"Exponential Convergence for hp-Version and Spectral Finite Element Methods for Elliptic Problems in Polyhedra","year":2014,"lang":"en","type":"article","venue":"Kagoshima Kenritsu Tanki Daigaku Chiiki Kenkyūjo kenkyū nenpō","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Degree of a polynomial; Finite element method; Polyhedron; Piecewise; Discontinuous Galerkin method; Polygon mesh; Mathematical analysis; Polynomial; Geometry","score_opus":0.05591818439100322,"score_gpt":0.3820686987759992,"score_spread":0.326150514384996,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3164558513","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1331622,0.000409192,0.8606162,0.0008346845,0.0010499486,0.0029241513,0.00009977929,0.00018610261,0.00071775133],"genre_scores_gemma":[0.3529616,0.00023910758,0.6439561,0.00024080471,0.0005052168,0.000978338,0.00014660526,0.00016003117,0.0008121465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99489117,0.0006976016,0.0014356438,0.001228871,0.00047565563,0.0012710581],"domain_scores_gemma":[0.99346936,0.004567904,0.00053974416,0.00080547744,0.00021878952,0.00039873793],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002937106,0.00072781945,0.0011916164,0.00042769345,0.00040997844,0.00021390874,0.00061839266,0.0003462197,0.0003621771],"category_scores_gemma":[0.002446174,0.0006908501,0.0004172889,0.00052807643,0.00022052985,0.00038146297,0.0002460674,0.00039560877,0.000025648087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002211644,0.0040922803,0.008785641,0.0056236326,0.0007826161,0.000011104052,0.0043428647,0.00091065426,0.12783365,0.48276225,0.006100844,0.35654283],"study_design_scores_gemma":[0.0102379145,0.0023041177,0.0040649767,0.0006193671,0.0006024948,0.000025852485,0.00037648343,0.22658984,0.025210349,0.6393976,0.08843888,0.0021320996],"about_ca_topic_score_codex":0.00008701274,"about_ca_topic_score_gemma":0.00010951135,"teacher_disagreement_score":0.3544107,"about_ca_system_score_codex":0.00015924449,"about_ca_system_score_gemma":0.000101979545,"threshold_uncertainty_score":0.9995543},"labels":[],"label_agreement":null},{"id":"W3165596483","doi":"10.3390/app11114798","title":"A Self-Adjoint Coupled System of Nonlinear Ordinary Differential Equations with Nonlocal Multi-Point Boundary Conditions on an Arbitrary Domain","year":2021,"lang":"en","type":"article","venue":"Applied Sciences","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Mathematical analysis; Fixed-point theorem; Nonlinear system; Domain (mathematical analysis); Boundary value problem; Ordinary differential equation; Differential equation; Physics","score_opus":0.050768898486135645,"score_gpt":0.3378477281862106,"score_spread":0.287078829700075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3165596483","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40517092,0.000012273289,0.59121466,0.00009634187,0.00012322902,0.0003538659,0.00005325609,0.0001322856,0.00284316],"genre_scores_gemma":[0.6160078,0.0000012995547,0.38375542,0.00003695284,0.000052748015,0.00007129381,0.000036379195,0.000014388451,0.0000237406],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9979859,0.00021239887,0.00049801863,0.0004329633,0.0005625419,0.0003081749],"domain_scores_gemma":[0.99825495,0.00080673955,0.00023881903,0.00040193397,0.00013692105,0.0001606551],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005572226,0.0002201002,0.00044193023,0.00015136602,0.0005724934,0.00011985075,0.00027615993,0.000082971,0.00015070374],"category_scores_gemma":[0.00008581437,0.00016284794,0.00009645915,0.0007431307,0.0005119518,0.00014583668,0.00008124336,0.00019235355,0.00001553265],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008567895,0.002842445,0.000029302699,0.00022436348,0.00010975772,0.000020120297,0.001038981,0.00011431242,0.020123392,0.9745116,0.000023881292,0.0008761508],"study_design_scores_gemma":[0.0051905266,0.002895831,0.0013059204,0.00058934884,0.0005772216,0.000096318996,0.021544224,0.8067193,0.03771745,0.12171035,0.00023150128,0.0014220085],"about_ca_topic_score_codex":0.000019107807,"about_ca_topic_score_gemma":0.000045629182,"teacher_disagreement_score":0.85280126,"about_ca_system_score_codex":0.000059755526,"about_ca_system_score_gemma":0.00038572674,"threshold_uncertainty_score":0.6640746},"labels":[],"label_agreement":null},{"id":"W318035778","doi":"10.1090/fic/042","title":"Difference and Differential Equations","year":2004,"lang":"en","type":"book","venue":"American Mathematical Society eBooks","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; York University","funders":"","keywords":"Mathematics; Differential equation; Applied mathematics; Mathematical analysis","score_opus":0.049090123772855106,"score_gpt":0.33021588508921657,"score_spread":0.28112576131636147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W318035778","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00053616415,0.000051610128,0.70125735,0.00015416018,0.000111948306,0.0007324187,0.00006856287,0.0003085229,0.29677927],"genre_scores_gemma":[0.0063667106,0.00003560504,0.17029811,0.00032995877,0.0003968443,0.00019993931,0.000048932703,0.00023589616,0.822088],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966866,0.00014209097,0.0009452327,0.0007833401,0.00079717796,0.00064559816],"domain_scores_gemma":[0.99478287,0.0031964416,0.00068916875,0.00078692904,0.00012690116,0.00041769864],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00028833342,0.00078793004,0.0015817509,0.00007889906,0.00031951835,0.00018131082,0.00043852895,0.00039525257,0.0005151559],"category_scores_gemma":[0.0006168516,0.00065564417,0.0007783674,0.00009732221,0.0018861498,0.000037953512,0.00038352975,0.0009079453,0.000058583075],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009935759,0.000209696,9.568743e-7,0.0006186244,0.0003824221,0.0000034262287,0.0016825149,2.6522997e-7,0.00011485531,0.9559088,0.0022298999,0.038838647],"study_design_scores_gemma":[0.00042747965,0.00020962069,0.000018751394,0.00044883662,0.0005982922,0.000009278002,0.00014299707,0.0010515198,0.000033694683,0.99183923,0.004457752,0.00076251914],"about_ca_topic_score_codex":0.000018527608,"about_ca_topic_score_gemma":0.000005275133,"teacher_disagreement_score":0.53095925,"about_ca_system_score_codex":0.00048322618,"about_ca_system_score_gemma":0.0006209876,"threshold_uncertainty_score":0.9995895},"labels":[],"label_agreement":null},{"id":"W3186276735","doi":"","title":"Difficulties in obtaining finite time blowup for fourth-order semilinear Schrodinger equations in the variational method frame","year":2019,"lang":"en","type":"article","venue":"DOAJ (DOAJ: Directory of Open Access Journals)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Cape Breton University","funders":"","keywords":"Mathematics; Frame (networking); Order (exchange); Schrödinger equation; Applied mathematics; Mathematical physics; Schrödinger's cat; Mathematical analysis; Computer science","score_opus":0.35098134459660785,"score_gpt":0.5971618741534737,"score_spread":0.2461805295568658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3186276735","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26924103,0.00065879687,0.7257466,0.00066202687,0.0003756526,0.001591479,0.00007612268,0.00003091226,0.0016174006],"genre_scores_gemma":[0.45123646,0.0003223725,0.54603827,0.00043601444,0.0002773262,0.0004097116,0.000060488415,0.000094354175,0.0011249791],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965541,0.0010040484,0.0010826826,0.00037095742,0.0006206931,0.00036756916],"domain_scores_gemma":[0.9837105,0.014762966,0.0006731951,0.00041925668,0.00035568996,0.000078369005],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.005305492,0.0002696202,0.0007549068,0.0007122173,0.00017646344,0.0006979485,0.0014249403,0.0001504611,0.005972831],"category_scores_gemma":[0.007439939,0.0002005822,0.000192506,0.0013664968,0.000051263345,0.00097561075,0.00031812786,0.000489405,0.000023801807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021407395,0.009958127,0.23687463,0.0017788097,0.0021449665,0.00004273016,0.03081111,0.14084144,0.21770558,0.16746031,0.030426532,0.15981504],"study_design_scores_gemma":[0.0026350545,0.00006151009,0.115132034,0.0009150693,0.00024351527,0.0000057999873,0.00081497146,0.37737885,0.0023019486,0.49647984,0.0030871092,0.00094431615],"about_ca_topic_score_codex":0.00016451716,"about_ca_topic_score_gemma":0.000034119024,"teacher_disagreement_score":0.32901952,"about_ca_system_score_codex":0.00007967806,"about_ca_system_score_gemma":0.00013701875,"threshold_uncertainty_score":0.99493587},"labels":[],"label_agreement":null},{"id":"W3193635915","doi":"10.1063/5.0050792","title":"Numerical solution of convection–diffusion–reaction equations by a finite element method with error correlation","year":2021,"lang":"en","type":"article","venue":"AIP Advances","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Finite element method; Nonlinear system; Convergence (economics); Applied mathematics; Numerical stability; Mathematics; Stability (learning theory); Numerical analysis; Dissipation; Convection–diffusion equation; Mixed finite element method; Diffusion; Mathematical analysis; Computer science; Physics; Thermodynamics","score_opus":0.04614480771073518,"score_gpt":0.37272022170768443,"score_spread":0.3265754139969492,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3193635915","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0035151239,0.00025669512,0.99435925,0.00043692204,0.00024712167,0.00019531918,0.000017178027,0.000059545608,0.0009128234],"genre_scores_gemma":[0.49420133,0.000071507944,0.5045632,0.0000724977,0.000054624852,0.000086492466,0.00010953864,0.000022663176,0.0008181103],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985159,0.00031017794,0.000413527,0.00026196556,0.00033072458,0.00016769116],"domain_scores_gemma":[0.99753374,0.0015791571,0.0003384995,0.00021249142,0.00027427755,0.000061820574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003036983,0.00013837917,0.00027187078,0.00006956337,0.0001583903,0.000017756896,0.00006070338,0.00006397114,0.00025157395],"category_scores_gemma":[0.0009428354,0.00011577592,0.00007593138,0.0005132773,0.000045361234,0.00027833326,0.000022655022,0.00013031666,0.000009368425],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00059737894,0.0047948635,0.0040747523,0.0005358808,0.0005062903,0.000008395635,0.0019275395,0.009247838,0.15534645,0.17402554,0.0022074848,0.64672756],"study_design_scores_gemma":[0.0029940845,0.0013132321,0.0024465015,0.00033642357,0.0006835418,0.000029203591,0.0017393613,0.63959986,0.066214904,0.23807119,0.045658793,0.0009129105],"about_ca_topic_score_codex":0.000057995352,"about_ca_topic_score_gemma":0.000033663033,"teacher_disagreement_score":0.64581466,"about_ca_system_score_codex":0.0000671244,"about_ca_system_score_gemma":0.00006213497,"threshold_uncertainty_score":0.4721205},"labels":[],"label_agreement":null},{"id":"W3196641264","doi":"10.3390/sym13091606","title":"λ-Interval of Triple Positive Solutions for the Perturbed Gelfand Problem","year":2021,"lang":"en","type":"article","venue":"Symmetry","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trent University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Uniqueness; Mathematics; Complement (music); Boundary value problem; Interval (graph theory); Fixed point; Applied mathematics; Upper and lower bounds; Work (physics); Fixed-point theorem; Value (mathematics); Mathematical analysis; Pure mathematics; Combinatorics; Physics; Statistics","score_opus":0.08471386377182193,"score_gpt":0.3640975297158062,"score_spread":0.2793836659439843,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3196641264","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.013152299,0.00045097643,0.97823805,0.0019266823,0.00041793805,0.00044829462,0.00011421663,0.000028753795,0.0052227923],"genre_scores_gemma":[0.7197451,0.000023305378,0.27487358,0.00014729629,0.00014203027,0.00010103623,0.000020592945,0.000025648764,0.004921436],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926585,0.00010884832,0.00022233711,0.000121995334,0.000112823756,0.00016815211],"domain_scores_gemma":[0.99794763,0.0015467999,0.000085014384,0.00020568687,0.00018355838,0.0000312957],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036764907,0.00007340513,0.00018703158,0.00002902364,0.00014363776,0.000020279414,0.0000996178,0.00004383232,0.00011074395],"category_scores_gemma":[0.0011171739,0.000048125887,0.00017712927,0.00021437916,0.000048085014,0.000032896,0.00006604113,0.00007532223,0.0000025754464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005351085,0.00048751358,0.00003986548,0.00015011536,0.00026889995,0.000001082418,0.00055814657,0.0000016471994,0.0062049585,0.935086,0.004308568,0.05283971],"study_design_scores_gemma":[0.0013796253,0.00025225093,0.0018368791,0.0001414674,0.00042770576,0.000011940687,0.001485722,0.0058769705,0.030576257,0.9511165,0.0066635297,0.00023117184],"about_ca_topic_score_codex":0.00001581643,"about_ca_topic_score_gemma":0.0000104314895,"teacher_disagreement_score":0.7065928,"about_ca_system_score_codex":0.00001750716,"about_ca_system_score_gemma":0.00004401934,"threshold_uncertainty_score":0.19625168},"labels":[],"label_agreement":null},{"id":"W3196836700","doi":"10.18280/mmep.080412","title":"Algorithm for Calculating the Global Minimum of a Smooth Function of Several Variables","year":2021,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Constructive; Sobolev space; Mathematical optimization; Global optimization; Function (biology); Numerical integration; Regular polygon; Boundary (topology); Applied mathematics; Quadrature (astronomy); Algorithm; Lattice (music); Computer science; Mathematical analysis; Geometry","score_opus":0.05600352420402783,"score_gpt":0.2886679651677898,"score_spread":0.232664440963762,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3196836700","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016702637,0.0001265143,0.98271334,0.000038569404,0.00006541713,0.00017652594,0.000015051308,0.000030936717,0.000131003],"genre_scores_gemma":[0.19817194,0.0000071942577,0.8016999,0.000004021343,0.000028329845,0.000030171048,0.0000029057012,0.000014469831,0.00004110008],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9991092,0.0000285016,0.00041949682,0.0001388421,0.00014395018,0.00016001247],"domain_scores_gemma":[0.9987723,0.00082125765,0.000095854215,0.00015768631,0.000110357236,0.000042523316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043059143,0.000115493865,0.00031407087,0.000019695686,0.000045983375,0.000020307196,0.000059937003,0.00006657305,0.000010597397],"category_scores_gemma":[0.00027099365,0.000082200735,0.00009354634,0.00015950263,0.000030242492,0.000034253622,0.000036401845,0.00006939595,1.9370633e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010710629,0.00022714578,0.000004431995,0.0025638416,0.00015280605,3.6711324e-7,0.0005041003,0.38590276,0.0010130592,0.5847143,0.000008171981,0.02489831],"study_design_scores_gemma":[0.00013249858,0.000031568226,0.0000023751672,0.00016165545,0.00006757978,0.000002251499,0.000029155233,0.61439294,0.00023174679,0.384861,0.000032007916,0.000055200726],"about_ca_topic_score_codex":0.000005629,"about_ca_topic_score_gemma":2.0488372e-7,"teacher_disagreement_score":0.2284902,"about_ca_system_score_codex":0.00001182255,"about_ca_system_score_gemma":0.000016865079,"threshold_uncertainty_score":0.33520487},"labels":[],"label_agreement":null},{"id":"W3198686622","doi":"10.18280/mmep.080405","title":"Approximations for the Concentration and Effectiveness Factor in Porous Catalysts of Arbitrary Shape: Taylor Series and Akbari-Ganji’s Methods","year":2021,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Thiele modulus; Taylor series; Michaelis–Menten kinetics; Series (stratigraphy); Diffusion; Thermodynamics; Substrate (aquarium); Applied mathematics; Mathematics; Simple (philosophy); Catalysis; Constant (computer programming); Mathematical analysis; Chemistry; Physics; Computer science; Organic chemistry","score_opus":0.07372984059643219,"score_gpt":0.3282401645785541,"score_spread":0.2545103239821219,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3198686622","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22084656,0.0006023288,0.7780319,0.00008234115,0.000028390392,0.00035579997,0.000009684643,0.000024602843,0.000018417062],"genre_scores_gemma":[0.5301229,0.0000699315,0.46966678,0.0000028504064,0.000009560717,0.00009962361,0.0000033589574,0.000015419166,0.000009601168],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99913687,0.00008412876,0.00034245805,0.00019260807,0.00008689042,0.0001570556],"domain_scores_gemma":[0.9968385,0.0028596038,0.00006130549,0.00013111562,0.00005670705,0.000052769825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006490607,0.00014116098,0.00035117235,0.000033236593,0.000067639754,0.000057407997,0.000043966906,0.00007598911,0.000004130222],"category_scores_gemma":[0.0005204264,0.00010364864,0.000035075158,0.00013827006,0.000058505146,0.000106046646,0.000038426195,0.00011781649,8.066389e-8],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000062662846,0.00035334995,0.00010398808,0.014794076,0.00023003042,0.000002235929,0.0060344073,0.0351864,0.026767118,0.8801312,0.000001912824,0.036332622],"study_design_scores_gemma":[0.00023432377,0.00003644063,0.000111362184,0.00019684587,0.00004920129,0.000012021884,0.00007825277,0.74674404,0.004258873,0.24816747,0.000010627259,0.00010056222],"about_ca_topic_score_codex":0.000006107003,"about_ca_topic_score_gemma":9.939251e-7,"teacher_disagreement_score":0.7115576,"about_ca_system_score_codex":0.000010517491,"about_ca_system_score_gemma":0.000012486119,"threshold_uncertainty_score":0.42266688},"labels":[],"label_agreement":null},{"id":"W3199144297","doi":"10.3934/cpaa.2006.5.2i","title":"Preface","year":2006,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Session (web analytics); Library science; Computer science; Operations research; Mathematics education; Applied mathematics; Political science; Mathematics; World Wide Web","score_opus":0.09811607675935588,"score_gpt":0.38512187228088407,"score_spread":0.28700579552152816,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3199144297","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.021396553,0.0001634407,0.7789245,0.0018764844,0.000025146914,0.00034322607,0.000034925513,0.0002988072,0.19693688],"genre_scores_gemma":[0.7518322,0.000031411382,0.2451918,0.00007757138,0.00003093641,0.00013249225,0.00023506676,0.000019826399,0.002448697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986876,0.00018458557,0.00043010135,0.0002518309,0.00025168504,0.00019414924],"domain_scores_gemma":[0.9956304,0.00088465033,0.00020090326,0.0031352174,0.00008654823,0.00006229914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039887932,0.00017115552,0.00038463483,0.00034053484,0.00034158013,0.000076740056,0.00093308673,0.000092740396,0.0003723984],"category_scores_gemma":[0.00012719886,0.00015092622,0.00027397307,0.0019045938,0.00011453349,0.000034749217,0.00019233035,0.0002342414,0.0001729609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000848548,0.00072294014,0.0001814394,0.000007599357,0.0004517604,7.511389e-8,0.00008234149,0.00033897907,0.0006654509,0.98214525,0.0027836566,0.012612042],"study_design_scores_gemma":[0.00037202187,0.000023231209,0.0028741937,0.000009860661,0.002604611,4.1047105e-7,0.00011421174,0.004707501,0.00050224306,0.8694259,0.118897736,0.0004681026],"about_ca_topic_score_codex":0.000057025958,"about_ca_topic_score_gemma":0.00032333293,"teacher_disagreement_score":0.73043567,"about_ca_system_score_codex":0.000052225867,"about_ca_system_score_gemma":0.000015688265,"threshold_uncertainty_score":0.61545926},"labels":[],"label_agreement":null},{"id":"W3209992718","doi":"10.14288/1.0402626","title":"Closest point methods with polyharmonic spline radial basis functions and local refinement","year":2021,"lang":"en","type":"article","venue":"cIRcle (University of British Columbia)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Polyharmonic spline; Thin plate spline; Mathematics; Spline (mechanical); Radial basis function; Basis (linear algebra); Point (geometry); Basis function; Smoothing spline; Mathematical analysis; Geometry; Computer science; Artificial intelligence; Spline interpolation; Physics","score_opus":0.02775346575671894,"score_gpt":0.26372196089381067,"score_spread":0.23596849513709173,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3209992718","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48109803,0.00013406333,0.5171255,0.0003306737,0.00007940498,0.0001152373,0.00006864718,0.00003947981,0.0010089631],"genre_scores_gemma":[0.5903315,0.00016841783,0.40737122,0.00004209479,0.000026259646,0.0000012809086,0.000022424974,0.000017935714,0.002018881],"study_design_codex":"design_other","study_design_gemma":"observational","domain_scores_codex":[0.9989523,0.00021334879,0.00014511538,0.0003271826,0.00017791604,0.00018413695],"domain_scores_gemma":[0.99901843,0.00025387533,0.000103455,0.000260105,0.00022368431,0.00014045271],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029014391,0.00005241283,0.0003137818,0.000035453435,0.00021856265,0.000066331006,0.00009838495,0.00007204458,0.0005602611],"category_scores_gemma":[0.0001351121,0.00014178609,0.00008337165,0.0004057762,0.00023789114,0.00011882312,0.00012477838,0.00012843424,0.0000042968254],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023377874,0.00031568337,0.0005499609,0.000094307215,0.0001157002,0.00008183886,0.00007469532,0.0000030378797,0.00042814072,0.000108349,0.0013136029,0.9968913],"study_design_scores_gemma":[0.003887807,0.0006084899,0.96680725,0.0003575108,0.00079340674,0.00033467225,0.005534955,0.002625204,0.00006582211,0.01456161,0.003827667,0.0005955915],"about_ca_topic_score_codex":0.013651816,"about_ca_topic_score_gemma":0.079211414,"teacher_disagreement_score":0.9962957,"about_ca_system_score_codex":0.000053878714,"about_ca_system_score_gemma":0.00010396115,"threshold_uncertainty_score":0.99291635},"labels":[],"label_agreement":null},{"id":"W3212578535","doi":"10.18280/mmep.080519","title":"Numerical Solution of Two-Parameter Singularly Perturbed Convection-Diffusion Boundary Value Problems via Fourth Order Compact Finite Difference Method","year":2021,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Compact finite difference; Mathematics; Tridiagonal matrix; Finite difference method; Boundary value problem; Numerical analysis; Finite difference; Convergence (economics); Applied mathematics; Numerical solution of the convection–diffusion equation; Mathematical analysis; Finite element method; Mixed finite element method; Eigenvalues and eigenvectors; Physics","score_opus":0.055930776140617616,"score_gpt":0.3040938649948505,"score_spread":0.2481630888542329,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3212578535","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0319243,0.00023039515,0.96688133,0.00019015481,0.00015679559,0.00031469553,0.000006479612,0.00016867521,0.00012715672],"genre_scores_gemma":[0.36703828,0.000023569071,0.63265204,0.000017994618,0.000039856506,0.000026766587,0.000010757792,0.00005022455,0.00014049403],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9976119,0.00021938361,0.0008265536,0.00047161314,0.00042453746,0.0004460578],"domain_scores_gemma":[0.9964538,0.002461426,0.00019134571,0.000386452,0.00030058317,0.00020636986],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007277268,0.00037056766,0.00081959646,0.00013208347,0.00016189297,0.0001336601,0.00014003212,0.00017777485,0.00007062669],"category_scores_gemma":[0.0011175551,0.0003112876,0.0001783558,0.00044740384,0.00007630839,0.00012179968,0.00007516454,0.00042204987,0.0000050503777],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026865666,0.0008908798,0.00003399494,0.0028512855,0.00024293679,0.0000052994337,0.002351196,0.9108,0.032787085,0.043877527,0.000010253689,0.0061226822],"study_design_scores_gemma":[0.00039873357,0.00009005751,0.000010441001,0.0004675508,0.00012020643,0.000032166434,0.000012664844,0.72352993,0.0018162094,0.27322197,0.00003612689,0.00026393498],"about_ca_topic_score_codex":0.00007859906,"about_ca_topic_score_gemma":9.33751e-7,"teacher_disagreement_score":0.335114,"about_ca_system_score_codex":0.000047692425,"about_ca_system_score_gemma":0.000045834822,"threshold_uncertainty_score":0.9999339},"labels":[],"label_agreement":null},{"id":"W3264880","doi":"10.48550/arxiv.0709.1734","title":"Residual Velocities in Steady Free Boundary Value Problems of Vector Laplacian Type","year":2007,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Residual; Type (biology); Mathematics; Value (mathematics); Mathematical analysis; Geology; Statistics; Algorithm","score_opus":0.1555740652666216,"score_gpt":0.3762688188846311,"score_spread":0.2206947536180095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3264880","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.987057,0.0004568896,0.005568231,0.0001990742,0.0010122298,0.0005583351,0.00008691378,0.00008888065,0.004972447],"genre_scores_gemma":[0.9398644,0.00010870284,0.057784837,0.00007504689,0.0003534869,0.000059060516,0.00008015671,0.00009826492,0.001576031],"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976171,0.00031660878,0.00086022064,0.00042182097,0.00041764078,0.00036659898],"domain_scores_gemma":[0.9976327,0.0007656385,0.0004239997,0.0009078103,0.00018479649,0.00008504408],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011453982,0.00031958518,0.00074411643,0.0002765836,0.000062947955,0.00004196551,0.00055875425,0.00042727898,0.00019509136],"category_scores_gemma":[0.0016895559,0.00030009978,0.00013784316,0.00031755492,0.0001850431,0.00006359118,0.0006642087,0.00079911517,0.000027655848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0015395994,0.0068215225,0.56587934,0.022879442,0.002358161,0.00019815043,0.03222048,0.0007900231,0.010200417,0.29831216,0.016224617,0.042576075],"study_design_scores_gemma":[0.0014178565,0.0004899658,0.25269514,0.0021211272,0.00027911784,0.0000037139682,0.00069215096,0.00036966885,0.0062070014,0.7303022,0.0043015117,0.001120544],"about_ca_topic_score_codex":0.00053714024,"about_ca_topic_score_gemma":0.0003347952,"teacher_disagreement_score":0.43199006,"about_ca_system_score_codex":0.00012245751,"about_ca_system_score_gemma":0.00027000686,"threshold_uncertainty_score":0.9999451},"labels":[],"label_agreement":null},{"id":"W4205925085","doi":"10.5539/jmr.v14n1p30","title":"An Advanced Galerkin Approach to Solve the Nonlinear \\\\[6pt]Reaction-Diffusion Equations With Different Boundary Conditions","year":2022,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"University of Dhaka","keywords":"Mathematics; Galerkin method; Partial differential equation; Nonlinear system; Fisher equation; Burgers' equation; Applied mathematics; Mathematical analysis; Stability (learning theory); Convergence (economics); Scheme (mathematics); Boundary value problem; Series (stratigraphy)","score_opus":0.17243685675350642,"score_gpt":0.45844862477552334,"score_spread":0.2860117680220169,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4205925085","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.50409335,0.000032282536,0.49164563,0.0013063067,0.00016314018,0.0007778536,0.000042263135,0.000025574105,0.0019135537],"genre_scores_gemma":[0.5925963,0.000021259528,0.40600187,0.00007153042,0.00031162577,0.00030739966,0.00002439733,0.00007696955,0.0005886438],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954808,0.0007649564,0.0007976453,0.00022225441,0.0023123373,0.0004220083],"domain_scores_gemma":[0.99445486,0.00336817,0.00045552966,0.000657948,0.00077479566,0.00028868482],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0040768893,0.00019430494,0.00044312578,0.00053536415,0.0015508679,0.00020468661,0.0008118069,0.000049241564,0.00036044643],"category_scores_gemma":[0.001359959,0.00011523258,0.00016442509,0.0009189404,0.00017957331,0.00021447842,0.0002481674,0.0012687527,0.000009409942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012144537,0.042841744,0.0001373144,0.00093268143,0.0011205086,0.00007477787,0.035808638,0.008269352,0.1360708,0.72328055,0.010226744,0.040022455],"study_design_scores_gemma":[0.003662685,0.007662406,0.001127918,0.00038383025,0.0004337281,0.0006283058,0.06282283,0.14612809,0.0029170332,0.75669116,0.016644953,0.0008970625],"about_ca_topic_score_codex":0.0000101063415,"about_ca_topic_score_gemma":0.000011565183,"teacher_disagreement_score":0.13785873,"about_ca_system_score_codex":0.00028214566,"about_ca_system_score_gemma":0.0002677383,"threshold_uncertainty_score":0.999749},"labels":[],"label_agreement":null},{"id":"W4221125596","doi":"10.1007/s11075-021-01242-2","title":"Discrete mollification in Bernstein basis and space marching scheme for numerical solution of an inverse two-phase one-dimensional Stefan problem","year":2022,"lang":"en","type":"article","venue":"Numerical Algorithms","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Capilano University","funders":"","keywords":"Mathematics; Numerical integration; Convergence (economics); Applied mathematics; Numerical stability; Numerical analysis; Stability (learning theory); Basis (linear algebra); Basis function; Mathematical analysis; Geometry; Computer science","score_opus":0.07146243302512412,"score_gpt":0.37825916394814363,"score_spread":0.3067967309230195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221125596","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26402277,0.00003298806,0.7338865,0.00086048676,0.00009814523,0.00083152996,0.00012998882,0.000058782494,0.00007884145],"genre_scores_gemma":[0.34844285,0.000001818876,0.6509891,0.000045898665,0.000051396182,0.00028403214,0.000087667286,0.00003438733,0.000062848696],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9973537,0.0005626667,0.000652553,0.0005138891,0.00054648024,0.0003707529],"domain_scores_gemma":[0.9984194,0.00069008954,0.00030661275,0.00030254427,0.000083023515,0.00019834517],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010033039,0.00022173792,0.0005165242,0.00019787873,0.00025587878,0.00002931314,0.00020072321,0.000065176544,0.00013493194],"category_scores_gemma":[0.0003541906,0.00022009687,0.00012259767,0.00058551703,0.000096721815,0.00021388175,0.00021201074,0.0003320065,0.0000013705115],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0021256297,0.010345342,0.0013133383,0.0005372588,0.0002566537,0.000016932052,0.0029422338,0.0025850162,0.052179597,0.07857105,0.00028360102,0.84884334],"study_design_scores_gemma":[0.003088839,0.001144755,0.00043934974,0.000036741974,0.00006979253,0.000009459111,0.00030819565,0.92679864,0.0016160681,0.06571408,0.0004366786,0.00033739672],"about_ca_topic_score_codex":0.0004010476,"about_ca_topic_score_gemma":0.000010731593,"teacher_disagreement_score":0.92421365,"about_ca_system_score_codex":0.00014231178,"about_ca_system_score_gemma":0.00006926554,"threshold_uncertainty_score":0.897529},"labels":[],"label_agreement":null},{"id":"W4225418952","doi":"10.48550/arxiv.2205.00617","title":"A high-order deferred correction method for the solution of free boundary problems using penalty iteration, with an application to American option pricing","year":2022,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Convergence (economics); Boundary (topology); Penalty method; Mathematical optimization; Order (exchange); Mathematics; Discontinuity (linguistics); Order of accuracy; Boundary value problem; Applied mathematics; Numerical analysis; Mathematical analysis","score_opus":0.1264339077838923,"score_gpt":0.29994985550424574,"score_spread":0.17351594772035345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4225418952","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15595354,0.000007011003,0.84188336,0.000074321266,0.0002711227,0.0016710686,0.000041880307,0.00007089724,0.00002677674],"genre_scores_gemma":[0.576365,0.000007726719,0.4232562,0.000025487541,0.000060038907,0.00005313237,0.00008838097,0.00003219278,0.00011187333],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9982297,0.0004589667,0.0003343032,0.0006201736,0.00015276604,0.0002041205],"domain_scores_gemma":[0.9972991,0.00058085605,0.0007645305,0.0008128533,0.00046644942,0.000076256685],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00084413216,0.00023486554,0.00038890977,0.0002417149,0.00050890085,0.000072427225,0.0004198718,0.00009152277,0.000023123075],"category_scores_gemma":[0.00024210387,0.0002070401,0.000116673946,0.0009795079,0.00008475278,0.00018041229,0.00032673773,0.00030305947,4.749833e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00042156284,0.00029986186,0.00015118558,0.00017918146,0.00016489856,5.104473e-7,0.0007871658,0.9448695,0.002311852,0.035810966,0.000042119456,0.014961158],"study_design_scores_gemma":[0.00039404418,0.00041946562,0.00045412392,0.00006174907,0.00050301425,0.0000018073943,0.0005766668,0.90346014,0.00032641014,0.0933716,0.0001762697,0.0002547194],"about_ca_topic_score_codex":0.002445907,"about_ca_topic_score_gemma":0.0005908588,"teacher_disagreement_score":0.42041144,"about_ca_system_score_codex":0.00037185414,"about_ca_system_score_gemma":0.00016795659,"threshold_uncertainty_score":0.84428495},"labels":[],"label_agreement":null},{"id":"W4230476987","doi":"10.1090/gsm/192/07","title":"Boundary value problem and bifurcation","year":2018,"lang":"en","type":"book-chapter","venue":"Graduate studies in mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Bifurcation; Boundary (topology); Value (mathematics); Computer science; Mathematics; Mathematical analysis; Physics; Nonlinear system; Statistics","score_opus":0.29894077381574463,"score_gpt":0.4206861561201273,"score_spread":0.12174538230438264,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230476987","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0031456817,0.0038656886,0.026754152,0.0007878246,0.0012963924,0.0025789589,0.00007438154,0.00034871916,0.9611482],"genre_scores_gemma":[0.0006687687,0.0044724504,0.6850515,0.000064680564,0.00040257545,0.00012535558,0.00001915683,0.00020945251,0.30898607],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977508,0.00007191518,0.0009606729,0.00044544975,0.00046888072,0.00030225448],"domain_scores_gemma":[0.99725085,0.001339368,0.00055263506,0.0005263778,0.0002610361,0.00006972342],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011043649,0.00050588575,0.0010596273,0.0002609341,0.00018222391,0.000060991544,0.00020597134,0.00023788302,0.00011714734],"category_scores_gemma":[0.00094213034,0.00041814463,0.00013020351,0.000090137146,0.0007197199,0.00007470952,0.00033812717,0.0003923855,0.0000758439],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000060050766,0.00010094442,0.0000017379652,0.0022976862,0.00031514544,0.000007486064,0.0068167555,3.189134e-7,0.000006452051,0.97545993,0.0064109904,0.008576525],"study_design_scores_gemma":[0.00023460832,0.00011979288,0.0000045730344,0.0014990342,0.00025871364,0.000013584009,0.00052953884,0.00030539968,0.000013820933,0.98864174,0.007991551,0.00038763174],"about_ca_topic_score_codex":0.0000020583636,"about_ca_topic_score_gemma":0.000011533658,"teacher_disagreement_score":0.65829736,"about_ca_system_score_codex":0.00013349853,"about_ca_system_score_gemma":0.000042192703,"threshold_uncertainty_score":0.999827},"labels":[],"label_agreement":null},{"id":"W4230720390","doi":"10.1016/s0022-247x(04)00155-6","title":"Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line","year":2004,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Bounded function; Integral equation; Collocation method; Mathematical analysis; Norm (philosophy); Real line; Polygon mesh; Uniform norm; Volterra integral equation; Differential equation; Geometry; Ordinary differential equation","score_opus":0.09572747078499268,"score_gpt":0.4335353225709125,"score_spread":0.3378078517859198,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230720390","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.039542045,0.00003020883,0.95873266,0.0009473309,0.000009439503,0.0003143782,0.000045729255,0.0000061156225,0.0003720785],"genre_scores_gemma":[0.54644614,0.000020634292,0.4533334,0.000031819865,0.000035402678,0.00006863951,0.0000077865325,0.000009773982,0.000046358957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99760234,0.0002472777,0.0014895813,0.00017671709,0.00033184967,0.00015220793],"domain_scores_gemma":[0.9904608,0.007261491,0.0012430587,0.00040128623,0.0005074328,0.0001259276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020046139,0.00016736756,0.0012291077,0.0006598985,0.0001153114,0.000030513302,0.00028978742,0.00009052554,0.0002835006],"category_scores_gemma":[0.0015920828,0.00009635299,0.0010656962,0.0029868728,0.00017948341,0.00005365558,0.000032671924,0.00020527831,6.8992676e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003476027,0.001044331,0.000026496067,0.00008227154,0.005458229,9.858396e-8,0.00029112614,0.0006356356,0.002422781,0.9820357,0.000011671033,0.007956887],"study_design_scores_gemma":[0.00040993723,0.00027654585,0.0005042059,0.000042191616,0.01697734,0.0000015471824,0.00035719926,0.03830176,0.0039213565,0.9389558,0.00013186822,0.00012025956],"about_ca_topic_score_codex":0.000010962807,"about_ca_topic_score_gemma":0.000012282941,"teacher_disagreement_score":0.5069041,"about_ca_system_score_codex":0.000033407232,"about_ca_system_score_gemma":0.000055224726,"threshold_uncertainty_score":0.39291608},"labels":[],"label_agreement":null},{"id":"W4230944482","doi":"10.1017/cbo9780511543234.010","title":"Epilogue","year":2004,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Collocation (remote sensing); Calculus (dental); Computer science; Applied mathematics; Mathematics; Epistemology; Mathematical economics; Philosophy; Medicine","score_opus":0.08126850702542594,"score_gpt":0.2779555076591208,"score_spread":0.19668700063369488,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230944482","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000028070795,0.000030732528,0.032636337,0.0000164126,0.00024671375,0.00031734176,0.00016399151,0.00018133233,0.96637905],"genre_scores_gemma":[0.0003199798,0.000035741108,0.009765463,0.000032565793,0.00012575713,6.7667816e-7,0.000030836498,0.00006295802,0.98962605],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9988469,0.00005014682,0.0002180727,0.00039517463,0.00025113684,0.00023857105],"domain_scores_gemma":[0.9986769,0.00023741867,0.000235317,0.0005623982,0.000120057586,0.00016792883],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000113550836,0.0003407458,0.0004958193,0.00014491804,0.00014393064,0.000031256608,0.00039436793,0.00037103798,0.00004797497],"category_scores_gemma":[0.000053107713,0.00037235738,0.00029572513,0.0000075248704,0.000182364,0.00004519153,0.00025833363,0.00043279873,0.000032250122],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030075738,0.000019586054,8.361263e-8,0.00009408198,0.00011371131,0.00009282345,0.000017916436,4.9100146e-7,0.00001622486,0.9854195,0.010477588,0.0037178989],"study_design_scores_gemma":[0.0005801411,0.000075186304,0.0000027884737,0.00023659389,0.00041255323,0.0000069021316,0.000010200453,0.000017243497,0.00021267288,0.02567217,0.97225195,0.0005216197],"about_ca_topic_score_codex":0.00007232067,"about_ca_topic_score_gemma":0.000001046967,"teacher_disagreement_score":0.96177435,"about_ca_system_score_codex":0.00022382458,"about_ca_system_score_gemma":0.00010146978,"threshold_uncertainty_score":0.99987286},"labels":[],"label_agreement":null},{"id":"W4231092039","doi":"10.1137/17m1129477","title":"Steady Hydrodynamic Model of Semiconductors with Sonic Boundary: (II) Supersonic Doping Profile","year":2018,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fundamental Research Funds for the Central Universities; Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Supersonic speed; Transonic; Boundary value problem; Euler's formula; Relaxation (psychology); Mathematical analysis; Doping; Euler equations; Mathematics; Physics; Mechanics; Classical mechanics; Condensed matter physics; Aerodynamics","score_opus":0.059725364968232754,"score_gpt":0.34359621943864227,"score_spread":0.2838708544704095,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4231092039","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6562206,0.000016912845,0.3413833,0.00016544615,0.000030562675,0.0001337674,0.000011824793,0.000033821714,0.0020037368],"genre_scores_gemma":[0.8102843,0.000009780282,0.18822409,0.00004001716,0.00009910391,0.000010322774,0.000004689299,0.000039984974,0.0012877162],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99720496,0.00023694213,0.0009366164,0.00033039125,0.0008285813,0.00046252218],"domain_scores_gemma":[0.99782914,0.00050552055,0.0005535397,0.00052961876,0.00032739394,0.0002547681],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011124439,0.000317422,0.0010682811,0.00056251144,0.0004263282,0.00010469928,0.0003791897,0.00011919406,0.0020284744],"category_scores_gemma":[0.00053627434,0.00020243236,0.00057059486,0.001304816,0.00033733054,0.00019639732,0.00008090196,0.00046001773,0.000045428984],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013480155,0.011401529,0.0010277752,0.0021668214,0.031086486,0.000068922614,0.016737223,0.014199296,0.069509484,0.8305957,0.0011396802,0.020719072],"study_design_scores_gemma":[0.0004959334,0.0009174318,0.000027943512,0.00022374146,0.0026664014,0.000027679658,0.00036713382,0.5373928,0.0024877181,0.455049,0.000021803393,0.00032237824],"about_ca_topic_score_codex":0.000003385825,"about_ca_topic_score_gemma":0.000011189225,"teacher_disagreement_score":0.52319354,"about_ca_system_score_codex":0.00012965649,"about_ca_system_score_gemma":0.00014365203,"threshold_uncertainty_score":0.9988838},"labels":[],"label_agreement":null},{"id":"W4233029120","doi":"10.1090/fic/036/02","title":"Integrated semigroup and linear ordinary differential equation with impulses","year":2003,"lang":"en","type":"other","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Semigroup; Ordinary differential equation; Mathematics; Linear differential equation; Bernoulli differential equation; Applied mathematics; Mathematical analysis; Differential equation; Exact differential equation","score_opus":0.05652810506990539,"score_gpt":0.3291723207568846,"score_spread":0.27264421568697916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4233029120","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0005970303,0.000099250065,0.6857212,0.00002970716,0.00016753246,0.0003549054,0.0000249467,0.00024829796,0.31275707],"genre_scores_gemma":[0.00068242446,0.00008656773,0.33397233,0.000038302176,0.00015018294,0.000036182086,0.00008734439,0.00037543557,0.6645712],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9987862,0.00018197915,0.00025377117,0.00034757372,0.00022214522,0.00020834953],"domain_scores_gemma":[0.9991286,0.00023941729,0.00019693306,0.00029034243,0.00004660479,0.000098125915],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00010695071,0.0003512482,0.00050667365,0.00019810925,0.0000470135,0.000049213395,0.00009529045,0.00027671788,0.009302269],"category_scores_gemma":[0.00016354326,0.00022222952,0.000059488037,0.00020860974,0.000085921136,0.0000356234,0.000041118747,0.00021690794,0.000026568106],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022896883,0.0013244117,0.00020763211,0.0011003932,0.0011569688,0.000025994299,0.0001954493,9.769343e-7,0.0007446721,0.2201619,0.58254814,0.19230448],"study_design_scores_gemma":[0.0040601254,0.001915267,0.00013693453,0.0019124246,0.0016825879,0.00006656479,0.00040410587,0.008891055,0.0009852891,0.08929313,0.88760096,0.0030515743],"about_ca_topic_score_codex":0.00021286952,"about_ca_topic_score_gemma":0.00009753872,"teacher_disagreement_score":0.35181412,"about_ca_system_score_codex":0.00002209743,"about_ca_system_score_gemma":0.0000342802,"threshold_uncertainty_score":0.9916034},"labels":[],"label_agreement":null},{"id":"W4235960113","doi":"10.1007/978-3-642-01742-1_11","title":"The stability of the equilibrium position of a Hamiltonian system of ordinary differential equations in the general elliptic case","year":2009,"lang":"en","type":"book-chapter","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Hamiltonian (control theory); Ordinary differential equation; General position; Combinatorics; Position (finance); Lambda; Mathematics; Physics; Mathematical physics; Mathematical analysis; Differential equation; Quantum mechanics","score_opus":0.06923521232070554,"score_gpt":0.3243899758419615,"score_spread":0.255154763521256,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235960113","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5467115,0.0006864417,0.16951168,0.001188951,0.001178833,0.006396823,0.0006821405,0.00009687444,0.27354673],"genre_scores_gemma":[0.9875836,0.00001116932,0.0032270101,0.000011121565,0.00007124463,0.000025977293,0.000012707336,0.000028404767,0.009028806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971713,0.00062117935,0.0012451585,0.00022845864,0.00054246595,0.00019146966],"domain_scores_gemma":[0.9954986,0.0022814309,0.0008557717,0.0011009981,0.00022970882,0.000033494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00097121403,0.00027065535,0.0006357178,0.00009150725,0.00011915409,0.000024695748,0.000503287,0.0002098274,0.00012805186],"category_scores_gemma":[0.00026062224,0.00012701564,0.00044870347,0.00013796624,0.00032844656,0.00004331723,0.00013625452,0.00031406054,0.0000011654528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006208299,0.00025345237,0.00000783491,0.0004655493,0.00009485291,0.000007208893,0.0004620915,0.000011521167,0.0023458248,0.9912176,0.000041100542,0.0050308825],"study_design_scores_gemma":[0.0018759189,0.001538082,0.0015959396,0.0022201834,0.0026853224,0.00032672717,0.0020270268,0.044743735,0.008517488,0.9329307,0.00049941876,0.0010394349],"about_ca_topic_score_codex":0.00020350353,"about_ca_topic_score_gemma":0.00021759345,"teacher_disagreement_score":0.440872,"about_ca_system_score_codex":0.00008629812,"about_ca_system_score_gemma":0.00009614664,"threshold_uncertainty_score":0.5179547},"labels":[],"label_agreement":null},{"id":"W4237751853","doi":"10.22215/etd/2012-09494","title":"Numerical evolution methods of rational form for reaction diffusion equations","year":2012,"lang":"en","type":"dissertation","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University; University of Ottawa; Library and Archives Canada","funders":"","keywords":"Mathematics; Humanities; Philosophy","score_opus":0.11092422838696886,"score_gpt":0.4621483054496197,"score_spread":0.35122407706265085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4237751853","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0042413436,0.00009138243,0.9836065,0.000052167725,0.0014808931,0.000989544,0.00003938057,0.000089238165,0.009409514],"genre_scores_gemma":[0.18926424,0.00001132668,0.7958813,0.000009776091,0.0003981163,0.0005486149,0.0021572977,0.00008013744,0.011649205],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977352,0.0002735059,0.0009556643,0.00031611626,0.00042772785,0.00029176899],"domain_scores_gemma":[0.99486077,0.0032897543,0.00083240453,0.00033465866,0.000571462,0.00011094583],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001112796,0.00030486166,0.0006264565,0.00029860085,0.00019787882,0.000022008073,0.00016011298,0.00045746827,0.00059532514],"category_scores_gemma":[0.0031866843,0.0002627818,0.0004186241,0.00034095588,0.000026093092,0.00024029455,0.000016842336,0.00022419749,0.000010398861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019800376,0.000784755,0.0000223655,0.00056721416,0.00013095942,3.020189e-8,0.00044093764,0.0000026850291,0.055544816,0.82419604,0.00064705603,0.11746511],"study_design_scores_gemma":[0.0008169869,0.00028396153,0.005439241,0.00016951645,0.0008871423,0.0000015309785,0.0006408664,0.015451796,0.018040473,0.95504045,0.0026176001,0.0006104226],"about_ca_topic_score_codex":0.00010334109,"about_ca_topic_score_gemma":0.000047415233,"teacher_disagreement_score":0.18772525,"about_ca_system_score_codex":0.00018027985,"about_ca_system_score_gemma":0.0001427801,"threshold_uncertainty_score":0.9999824},"labels":[],"label_agreement":null},{"id":"W4237766219","doi":"10.1186/1029-242x-2013-584","title":"Foreword","year":2013,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Honour; Mathematics; Value (mathematics); Mathematical economics; Law; Political science; Statistics","score_opus":0.07832258945322108,"score_gpt":0.36826577611014905,"score_spread":0.289943186656928,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4237766219","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19363043,0.00019632606,0.8029461,0.0011869285,0.00004495335,0.00018450229,0.000007480369,0.000011932922,0.001791373],"genre_scores_gemma":[0.81797266,0.00011588199,0.17996013,0.00019024142,0.00036676542,0.00008976914,9.876379e-7,0.000012319732,0.0012912567],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994089,0.00003553458,0.00034276186,0.0000418447,0.00009756564,0.00007338166],"domain_scores_gemma":[0.99905115,0.00042049447,0.00021109435,0.00008790477,0.00016229325,0.00006706397],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017426377,0.000051282015,0.00014630095,0.000048121292,0.000057426587,0.000031899424,0.00007291994,0.000025031672,0.00022895313],"category_scores_gemma":[0.00011950094,0.000035745226,0.00005102624,0.00007848799,0.000034086108,0.00010962809,0.000018163051,0.000074521486,0.000006397982],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000002119014,0.00006728716,0.0001476936,0.000032083684,0.000020668696,1.10547035e-7,0.00015156162,4.82645e-7,0.00032528295,0.8930408,0.0026718392,0.10354012],"study_design_scores_gemma":[0.0001415836,0.0000603338,0.00070921687,0.000017030634,0.00002390714,0.000012975786,0.0013010014,0.00011949619,0.00016116472,0.9780648,0.019328719,0.000059780323],"about_ca_topic_score_codex":0.000016131298,"about_ca_topic_score_gemma":9.5024876e-7,"teacher_disagreement_score":0.6243422,"about_ca_system_score_codex":0.0000072089297,"about_ca_system_score_gemma":0.000012129066,"threshold_uncertainty_score":0.25068763},"labels":[],"label_agreement":null},{"id":"W4239693128","doi":"10.20944/preprints202109.0141.v1","title":"Asymptotic Methods","year":2021,"lang":"en","type":"preprint","venue":"Preprints.org","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"","keywords":"Singular perturbation; Asymptotology; Series (stratigraphy); Asymptotic analysis; Applied mathematics; Asymptotic expansion; Mathematics; Differential equation; Perturbation theory (quantum mechanics); Asymptotic analysis; Method of matched asymptotic expansions; Calculus (dental); Mathematical analysis; Physics; Particle physics","score_opus":0.4048301837888765,"score_gpt":0.5136524040189074,"score_spread":0.10882222023003096,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4239693128","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48891485,0.00017731117,0.4826728,0.00032349385,0.0019365363,0.00057804084,0.000009917651,0.0003576819,0.025029376],"genre_scores_gemma":[0.43965185,0.00009408775,0.55611604,0.000109583736,0.00025991388,0.00023718351,0.000038050854,0.00009850404,0.0033947737],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952115,0.0017447673,0.0009158932,0.0012001488,0.00046007027,0.00046761267],"domain_scores_gemma":[0.9951813,0.0014483177,0.00049078884,0.002348649,0.0002913273,0.00023962263],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00254873,0.00050807867,0.0010512188,0.0001722748,0.00011967645,0.00008556425,0.0008372157,0.0005615603,0.0066812206],"category_scores_gemma":[0.006085635,0.0004977981,0.00060635456,0.00028783065,0.00010298838,0.00008277319,0.0035245076,0.0013528339,0.00045639323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025558463,0.008517779,0.17629279,0.0098586185,0.0067604133,0.00028054503,0.014646083,0.0009120282,0.13634364,0.2832087,0.0010645577,0.36185926],"study_design_scores_gemma":[0.0005349432,0.00003297718,0.065995745,0.0007260606,0.00080219103,0.000018303357,0.0003633106,0.0022080797,0.10742228,0.8147111,0.005725547,0.00145944],"about_ca_topic_score_codex":0.000086949396,"about_ca_topic_score_gemma":0.0000064230403,"teacher_disagreement_score":0.5315024,"about_ca_system_score_codex":0.00015018127,"about_ca_system_score_gemma":0.00022410398,"threshold_uncertainty_score":0.99974734},"labels":[],"label_agreement":null},{"id":"W4241009625","doi":"10.23952/asvao.3.2021.2.08","title":"The projection method with inertial extrapolation for solving split equilibrium problems in Hilbert spaces","year":2021,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Extrapolation; Inertial frame of reference; Hilbert space; Projection (relational algebra); Projection method; Mathematics; Applied mathematics; Computer science; Mathematical optimization; Mathematical analysis; Physics; Classical mechanics; Algorithm; Dykstra's projection algorithm","score_opus":0.03903838845299114,"score_gpt":0.33446075171177814,"score_spread":0.295422363258787,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4241009625","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.013782273,0.00006929164,0.98488617,0.00027266116,0.000032101554,0.00054515945,0.0000043215996,0.000035268054,0.0003727298],"genre_scores_gemma":[0.17957488,0.000052637697,0.8196571,0.000032275693,0.0000618729,0.0002458612,0.00015653146,0.000026382946,0.00019249314],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986482,0.00015387037,0.0004132458,0.0003634539,0.00021061365,0.00021059127],"domain_scores_gemma":[0.9987119,0.0006277156,0.00023527331,0.00021474472,0.00016667666,0.000043708496],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009438458,0.00015960538,0.00033553375,0.00018702248,0.00023540609,0.00024063604,0.00006388313,0.00008903774,0.000022157648],"category_scores_gemma":[0.0002312551,0.00010898357,0.00008941628,0.0014522546,0.000033753884,0.00013131334,0.000032994405,0.0000930558,1.9960395e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024613313,0.00026198683,0.0010441062,0.00019799685,0.0009362199,6.074732e-7,0.0016860305,0.83502793,0.0077556293,0.09651997,0.00004206819,0.05628134],"study_design_scores_gemma":[0.0005869745,0.00004476792,0.00042901558,0.00001704149,0.0007962218,0.0000010218495,0.0003989015,0.9831811,0.0014848664,0.012763417,0.00012802971,0.00016861987],"about_ca_topic_score_codex":0.00006276471,"about_ca_topic_score_gemma":0.00028590922,"teacher_disagreement_score":0.16579261,"about_ca_system_score_codex":0.000038594117,"about_ca_system_score_gemma":0.00004341568,"threshold_uncertainty_score":0.4444221},"labels":[],"label_agreement":null},{"id":"W4242694186","doi":"10.1186/1687-2770-2013-273","title":"Foreword","year":2013,"lang":"en","type":"article","venue":"Boundary Value Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Honour; Mathematics; Ordinary differential equation; Value (mathematics); Applied mathematics; Philosophy; Political science; Law; Differential equation; Mathematical analysis","score_opus":0.07959036979708277,"score_gpt":0.3404421809381095,"score_spread":0.26085181114102673,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4242694186","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2115575,0.00030240093,0.7406268,0.0016603562,0.00071823254,0.0014386808,0.000018273831,0.00045805937,0.043219715],"genre_scores_gemma":[0.48917952,0.000015069265,0.49938864,0.0003373467,0.00020568378,0.000391953,0.0000115158155,0.00006676301,0.0104035195],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99894214,0.000101751706,0.0002869198,0.00019341326,0.00020811422,0.00026763618],"domain_scores_gemma":[0.99919146,0.000252495,0.000085799096,0.0002927085,0.000075057455,0.00010248891],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00028860875,0.00013228417,0.00019708736,0.000052812047,0.00016487321,0.0001286431,0.000172172,0.000063903935,0.0016698891],"category_scores_gemma":[0.0002649485,0.000105030165,0.000092812974,0.00016918448,0.00007921008,0.0002030532,0.000066162145,0.0001313822,0.0005025105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006782856,0.00038274552,0.0004837806,0.00022757555,0.00008151455,0.0000013504339,0.0005760378,0.000014506268,0.0025074477,0.73271585,0.025184914,0.23781751],"study_design_scores_gemma":[0.00019502771,0.00006850626,0.00096853595,0.000030421794,0.000020246443,0.0000036233967,0.000022064449,0.004554308,0.00021230664,0.9634739,0.030295897,0.00015512957],"about_ca_topic_score_codex":0.00012393991,"about_ca_topic_score_gemma":0.0000042005395,"teacher_disagreement_score":0.277622,"about_ca_system_score_codex":0.00002840091,"about_ca_system_score_gemma":0.000038963695,"threshold_uncertainty_score":0.9992427},"labels":[],"label_agreement":null},{"id":"W4243044048","doi":"10.4310/cms.2016.v14.n3.a8","title":"Spectral results for perturbed variational eigenvalue problems and their applications to compressed PDEs","year":2016,"lang":"en","type":"article","venue":"Communications in Mathematical Sciences","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Eigenvalues and eigenvectors; Mathematics; Applied mathematics; Mathematical analysis; Physics","score_opus":0.2577976862253141,"score_gpt":0.4295235022367332,"score_spread":0.17172581601141906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4243044048","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004847763,0.000072159244,0.9759771,0.012387866,0.000022600494,0.0013173622,0.000090428235,0.00006238262,0.005222319],"genre_scores_gemma":[0.344548,0.00003519368,0.6541088,0.00006733842,0.000026448906,0.0010250537,0.000005346972,0.000009233359,0.00017455498],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99849135,0.00020379815,0.00054967194,0.00031240002,0.00018261159,0.0002601779],"domain_scores_gemma":[0.989527,0.009354939,0.00012467513,0.00078048435,0.00010103061,0.00011185763],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001809509,0.00014090707,0.00026014677,0.00014444983,0.00041296898,0.00009269672,0.0009480261,0.000056984572,0.000036754107],"category_scores_gemma":[0.0028363224,0.00008145183,0.000056567224,0.0005167206,0.0005476804,0.00014290781,0.00027525282,0.00007485841,0.000014362935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010283685,0.00032197864,0.000034146593,0.000034621236,0.000009363321,1.5062891e-8,0.00085800834,0.000009210424,0.0017011928,0.9798445,0.00013230555,0.01704439],"study_design_scores_gemma":[0.00038242206,0.00008173755,0.00043869892,0.00012158438,0.00001048148,0.000001655656,0.00017586851,0.017581014,0.00029553848,0.97733593,0.0034292531,0.00014583975],"about_ca_topic_score_codex":0.000007308182,"about_ca_topic_score_gemma":0.000034820376,"teacher_disagreement_score":0.33970025,"about_ca_system_score_codex":0.000045701552,"about_ca_system_score_gemma":0.00004433884,"threshold_uncertainty_score":0.3395548},"labels":[],"label_agreement":null},{"id":"W4243754360","doi":"10.23952/jnva.3.2019.3.06","title":"Infinitely many homoclinic solutions for fourth-order differential equations with locally defined potentials","year":2019,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Homoclinic orbit; Mathematics; Order (exchange); Applied mathematics; Differential equation; Mathematical analysis; Physics; Nonlinear system; Bifurcation; Economics","score_opus":0.06303808909490874,"score_gpt":0.3417591483090616,"score_spread":0.2787210592141529,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4243754360","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.083530165,0.00003952843,0.91525954,0.000692398,0.000115362054,0.0001897073,0.00008758467,0.000010253276,0.000075435106],"genre_scores_gemma":[0.47747728,0.000029380768,0.52150023,0.000060665065,0.00029012363,0.000010408776,0.000082976105,0.00001888539,0.0005300383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99812704,0.00014398238,0.0008635843,0.0001888929,0.0004449255,0.0002315835],"domain_scores_gemma":[0.9956011,0.0022831939,0.0007479539,0.0001744991,0.0010640468,0.00012918164],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008843586,0.00016835936,0.000621872,0.0004915724,0.00019527077,0.00009773732,0.00014191415,0.00009728701,0.0006714369],"category_scores_gemma":[0.0011000012,0.00011934601,0.000435583,0.00082940987,0.000040946576,0.00018984803,0.00004325141,0.0001759824,0.000006605865],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0031880378,0.006341421,0.022249417,0.0004595957,0.041353576,0.00001585344,0.0013885464,0.070764504,0.0054710424,0.82172084,0.00093713525,0.02611003],"study_design_scores_gemma":[0.0035805043,0.0009353521,0.025644772,0.00005770216,0.009938179,0.0000225896,0.0001348403,0.87738705,0.00004415226,0.08122917,0.00062832667,0.0003973522],"about_ca_topic_score_codex":0.000015296682,"about_ca_topic_score_gemma":0.000030586034,"teacher_disagreement_score":0.80662256,"about_ca_system_score_codex":0.000028502656,"about_ca_system_score_gemma":0.00017475573,"threshold_uncertainty_score":0.73517627},"labels":[],"label_agreement":null},{"id":"W4245054145","doi":"10.23952/asvao.1.2019.1.05","title":"Local convergence analysis of Jarratt-type schemes for solving equations","year":2019,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Convergence (economics); Type (biology); Applied mathematics; Mathematics; Geology; Economics","score_opus":0.044488275097856265,"score_gpt":0.33878399841273205,"score_spread":0.2942957233148758,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4245054145","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.047219113,0.000033390934,0.95206463,0.000024881638,0.000044033157,0.0003093536,0.000024784495,0.000029096045,0.00025073122],"genre_scores_gemma":[0.7094674,0.000026343623,0.29004413,0.00002437905,0.0000094097595,0.000022208027,0.00028300926,0.000011745216,0.00011136937],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99866897,0.000052316107,0.00052898604,0.00033977092,0.00023783273,0.00017214152],"domain_scores_gemma":[0.99833745,0.0006463663,0.00034264542,0.00032144945,0.00028470525,0.0000673754],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051253155,0.00015610027,0.00068197673,0.000621819,0.000121775054,0.000043983735,0.00011080753,0.00010042982,0.00064157683],"category_scores_gemma":[0.00024328323,0.00014067622,0.00027291916,0.0034333249,0.00006063093,0.000086768996,0.000039819148,0.000058497986,0.0000025941044],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006447378,0.00013345295,0.0015553767,0.00008176496,0.006118323,5.222634e-8,0.0003954571,0.78169733,0.0019138964,0.20315215,0.000022830804,0.004864865],"study_design_scores_gemma":[0.00028624682,0.00004022833,0.00036482335,0.0000056412296,0.009866329,2.6817611e-8,0.00033868218,0.98313165,0.0011679624,0.004608031,0.000026896569,0.00016347485],"about_ca_topic_score_codex":0.000031532607,"about_ca_topic_score_gemma":0.00002162033,"teacher_disagreement_score":0.6622483,"about_ca_system_score_codex":0.000022970022,"about_ca_system_score_gemma":0.000027535412,"threshold_uncertainty_score":0.7024816},"labels":[],"label_agreement":null},{"id":"W4250885535","doi":"10.1007/978-3-319-56666-5","title":"Symmetries and Integrability of Difference Equations","year":2017,"lang":"en","type":"book","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal; College Ahuntsic","funders":"","keywords":"Homogeneous space; Mathematics; Pure mathematics; Mathematical physics; Algebra over a field; Geometry","score_opus":0.14975219511383095,"score_gpt":0.39398369770982217,"score_spread":0.24423150259599122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4250885535","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00018297188,0.00014149823,0.31799045,0.00010351518,0.00013887513,0.00026678696,0.000062502324,0.00003968786,0.6810737],"genre_scores_gemma":[0.0075644194,0.00006198125,0.060105577,0.000012193144,0.000046464545,0.000016090393,0.00001723831,0.000022485825,0.9321535],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989629,0.00007537237,0.0004035508,0.00023516713,0.00021260447,0.000110438],"domain_scores_gemma":[0.9953674,0.0032501647,0.0004048304,0.00066873315,0.00024406657,0.00006477844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00038037574,0.00019549664,0.00060459506,0.00011306406,0.00010166297,0.000049962277,0.0002436527,0.00020771878,0.00050870137],"category_scores_gemma":[0.0077344254,0.00014198794,0.00011777974,0.000032666954,0.0003795422,0.000042428925,0.00015399257,0.00021611896,0.000006546507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004521578,0.000059703994,0.00001821667,0.0002758728,0.000048443148,1.6546899e-7,0.000061894854,5.130044e-9,0.000015489743,0.9065315,0.0025303073,0.090453856],"study_design_scores_gemma":[0.00009367767,0.000068775065,0.00021159362,0.00016472425,0.00013072413,3.694758e-7,0.000011091378,0.00013072677,0.00010695221,0.9945044,0.004422439,0.00015451071],"about_ca_topic_score_codex":0.00004076694,"about_ca_topic_score_gemma":0.00003228445,"teacher_disagreement_score":0.25788486,"about_ca_system_score_codex":0.000034742727,"about_ca_system_score_gemma":0.00013837905,"threshold_uncertainty_score":0.9259388},"labels":[],"label_agreement":null},{"id":"W4251680909","doi":"10.23952/jano.3.2021.1.06","title":"Minimum energy control problem for one class of singularly perturbed systems with input delay","year":2021,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Class (philosophy); Control theory (sociology); Control (management); Energy (signal processing); Computer science; Mathematics; Statistics; Artificial intelligence","score_opus":0.02239009086013307,"score_gpt":0.2654726181018459,"score_spread":0.24308252724171284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4251680909","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0025473288,0.00014877021,0.99620324,0.00024192991,0.00006894701,0.00018147039,0.000006936607,0.0000087893795,0.0005925557],"genre_scores_gemma":[0.50232375,0.00003378005,0.4974148,0.000059892773,0.00008451584,0.000014108208,0.000005358183,0.000018526378,0.00004528589],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99872226,0.000083972605,0.00064694666,0.0001363695,0.00027137273,0.00013910807],"domain_scores_gemma":[0.99787974,0.0006421336,0.000690514,0.00010201481,0.0005797051,0.000105884275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002932851,0.00012871322,0.0005792068,0.00007776051,0.000059045404,0.000052833053,0.000068218425,0.00009179699,0.0000144491205],"category_scores_gemma":[0.00016160564,0.0000930079,0.00008466007,0.00020958672,0.000052871896,0.000085479536,0.000013982765,0.00009401369,6.822086e-8],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.006186391,0.0033482588,0.000061492865,0.0011724214,0.0017218458,0.000022934815,0.0012277476,0.42286465,0.037145715,0.4789468,0.00052118953,0.046780556],"study_design_scores_gemma":[0.007991067,0.0024311268,0.00002719979,0.00036827064,0.0010552277,0.00010694682,0.00055843685,0.93215793,0.005251092,0.04781393,0.0017899366,0.0004488265],"about_ca_topic_score_codex":0.000002731332,"about_ca_topic_score_gemma":2.4504646e-7,"teacher_disagreement_score":0.5092933,"about_ca_system_score_codex":0.000025878924,"about_ca_system_score_gemma":0.00008554165,"threshold_uncertainty_score":0.3792752},"labels":[],"label_agreement":null},{"id":"W4281707125","doi":"","title":"Transmissibility in Interactive Nanocomposite Diffusion: The Nonlinear Double-Diffusion Model","year":2022,"lang":"en","type":"article","venue":"White Rose Research Online (University of Leeds, The University of Sheffield, University of York)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"H2020 Marie Skłodowska-Curie Actions; Medical Research Council; UK Research and Innovation; Horizon 2020 Framework Programme; Deutsche Forschungsgemeinschaft; Canadian Institutes of Health Research; Leverhulme Trust; National Science Foundation","keywords":"Transmissibility (structural dynamics); Diffusion; Nonlinear system; Statistical physics; Chemistry; Chemical physics; Physics; Thermodynamics; Quantum mechanics","score_opus":0.10333720213939503,"score_gpt":0.3370563442809049,"score_spread":0.2337191421415099,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4281707125","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.944954,0.000078576406,0.044980135,0.0055485843,0.00006732885,0.0009170639,0.00032153603,0.00003956476,0.0030932478],"genre_scores_gemma":[0.96433276,0.00039378926,0.029451156,0.000016525484,0.000019181145,7.3807975e-8,0.000053558793,0.000018478104,0.005714458],"study_design_codex":"qualitative","study_design_gemma":"qualitative","domain_scores_codex":[0.99621725,0.0014399489,0.00027779248,0.000501594,0.0011101358,0.00045325456],"domain_scores_gemma":[0.9966088,0.0014618611,0.0003984477,0.0008729329,0.00048999925,0.0001679415],"candidate_categories":["sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0020759378,0.00023171758,0.0006437928,0.0005839263,0.0016308232,0.000011204705,0.0022812346,0.00018317439,0.001330539],"category_scores_gemma":[0.00007568369,0.00023347375,0.0004566553,0.0015214272,0.0014552734,0.0002814516,0.0019760937,0.0014669116,0.0000036952304],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.069394946,0.038127583,0.013482052,0.0028394894,0.002619335,0.0007096796,0.56178695,0.05851716,0.07209991,0.039941978,0.013094128,0.12738681],"study_design_scores_gemma":[0.01468188,0.0019039786,0.011171888,0.00059419696,0.0006534156,0.000018806786,0.50340736,0.43296131,0.0005669164,0.011029415,0.022038639,0.00097219454],"about_ca_topic_score_codex":0.008695091,"about_ca_topic_score_gemma":0.004863066,"teacher_disagreement_score":0.37444416,"about_ca_system_score_codex":0.00031413182,"about_ca_system_score_gemma":0.0003288725,"threshold_uncertainty_score":0.9996689},"labels":[],"label_agreement":null},{"id":"W4285248493","doi":"10.23952/jnva.6.2022.3.07","title":"Algorithm for generalized hybrid operators with numerical analysis and applications","year":2022,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Computer science; Algorithm; Mathematics; Applied mathematics","score_opus":0.026870116588026884,"score_gpt":0.33337468915718443,"score_spread":0.30650457256915753,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4285248493","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.021070711,0.000084960906,0.9781359,0.0003472652,0.00001574554,0.00011632125,0.00021186251,0.000005560167,0.000011707439],"genre_scores_gemma":[0.05726082,0.000028473349,0.9421085,0.00010589175,0.00019473996,0.00005830429,0.000110876186,0.000010764516,0.000121638855],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9987745,0.00015064652,0.00045783003,0.00016267503,0.00035230804,0.000102002254],"domain_scores_gemma":[0.998589,0.000519725,0.0003822874,0.00010244761,0.0002967249,0.00010980689],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006726407,0.00010475326,0.0005082416,0.000558674,0.00030889947,0.000056308792,0.000095545794,0.000018613095,0.00023661056],"category_scores_gemma":[0.000073808966,0.00007693412,0.0003004351,0.0015694217,0.00002650307,0.000076831435,0.00004386075,0.00012256693,1.2164239e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0011508322,0.0055098585,0.03806696,0.0001421747,0.14122395,0.00003434193,0.0011374563,0.06695044,0.00055524654,0.13738543,0.00067140994,0.6071719],"study_design_scores_gemma":[0.0011732982,0.000340572,0.005878137,0.0000015287544,0.024921201,0.000036635964,0.00012257548,0.93537205,0.000036996084,0.026855167,0.0050569093,0.00020494753],"about_ca_topic_score_codex":0.000022329306,"about_ca_topic_score_gemma":0.0000039266884,"teacher_disagreement_score":0.8684216,"about_ca_system_score_codex":0.000031268628,"about_ca_system_score_gemma":0.00005800362,"threshold_uncertainty_score":0.31372824},"labels":[],"label_agreement":null},{"id":"W4293671332","doi":"10.1016/j.apnum.2022.08.015","title":"3-additive linear multi-step methods for diffusion-reaction-advection models","year":2022,"lang":"en","type":"article","venue":"Applied Numerical Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Saskatchewan","funders":"Agencia Estatal de Investigación; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Advection; Reaction–diffusion system; Convergence (economics); Stability (learning theory); Diffusion; Applied mathematics; Work (physics); Numerical analysis; Mathematical analysis; Computer science; Thermodynamics","score_opus":0.12425966649136766,"score_gpt":0.41870588094451416,"score_spread":0.2944462144531465,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4293671332","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0016424548,0.000020747131,0.99284357,0.00015833892,0.00045416117,0.0015196706,0.00008114641,0.00033978513,0.0029401386],"genre_scores_gemma":[0.030490365,0.000009594677,0.9653347,0.00019159529,0.00015781946,0.0027051314,0.00006342262,0.00013180145,0.00091556984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972982,0.000299648,0.0008662679,0.0005565286,0.0004768666,0.00050253543],"domain_scores_gemma":[0.99421173,0.004372333,0.00050682545,0.00057660515,0.00013790034,0.00019461184],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012445891,0.0003876286,0.00077368284,0.00017940789,0.000808461,0.000042279167,0.00038149682,0.00012855501,0.00041022315],"category_scores_gemma":[0.000854945,0.00035495887,0.0003422127,0.00067076,0.00007639985,0.0001092434,0.00032261404,0.00048645487,0.000025275043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001480914,0.004002577,0.0000012168689,0.00023461088,0.00021761429,0.0000013302584,0.0021164208,0.0006063548,0.0146483425,0.7411821,0.0014622365,0.2353791],"study_design_scores_gemma":[0.0008433481,0.00016287458,0.000005002404,0.000009025751,0.00015926316,0.000010136613,0.001376528,0.49145094,0.001190559,0.49486253,0.009593756,0.00033602986],"about_ca_topic_score_codex":0.0000205143,"about_ca_topic_score_gemma":9.3257637e-7,"teacher_disagreement_score":0.49084458,"about_ca_system_score_codex":0.00021686536,"about_ca_system_score_gemma":0.000050244456,"threshold_uncertainty_score":0.99989027},"labels":[],"label_agreement":null},{"id":"W4297406503","doi":"10.48550/arxiv.1211.5298","title":"An Embedding Technique for the Solution of Reaction-Diffusion Equations\\n on Algebraic Surfaces with Isolated Singularities","year":2012,"lang":"","type":"preprint","venue":"arXiv (Cornell University)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; King Abdullah University of Science and Technology","keywords":"Embedding; Gravitational singularity; Mathematics; Codimension; Dimension (graph theory); Singularity; Projection (relational algebra); Parametrization (atmospheric modeling); Algebraic number; Algebraic geometry; Domain (mathematical analysis); Algebraic surface; Algebraic curve; Diffusion; Mathematical analysis; Pure mathematics; Algorithm; Computer science; Physics","score_opus":0.12760818193458714,"score_gpt":0.27727258901323765,"score_spread":0.1496644070786505,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297406503","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23247916,0.00004440092,0.76491684,0.000055026507,0.00032796635,0.0018211113,0.000059617272,0.00008339967,0.00021245414],"genre_scores_gemma":[0.9712359,0.00017980975,0.027788775,0.000014467748,0.00010836848,0.00002719669,0.000078822464,0.00007319345,0.00049351313],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99715143,0.0007019099,0.0006196843,0.00080300804,0.00021900529,0.0005049769],"domain_scores_gemma":[0.9931778,0.0035152927,0.0012216407,0.0012566394,0.00065849104,0.00017017307],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001420181,0.0005502808,0.00071408186,0.0003774211,0.0009164396,0.00009752331,0.00066028006,0.0005733088,0.0001242249],"category_scores_gemma":[0.00045997542,0.00045051464,0.00034698893,0.0007436116,0.0004101587,0.0004699991,0.00023134756,0.0006894543,0.000007473568],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0033469654,0.004324048,0.00040932177,0.0015539792,0.0012922847,0.0000069729294,0.002871539,0.17556567,0.1023868,0.70017403,0.00002851249,0.008039841],"study_design_scores_gemma":[0.0009128112,0.0010797437,0.00037656276,0.00088356936,0.0017232773,0.0000034879997,0.0017106077,0.8364336,0.008548595,0.14755188,0.00007131866,0.0007045505],"about_ca_topic_score_codex":0.00041382667,"about_ca_topic_score_gemma":0.000074087366,"teacher_disagreement_score":0.7387567,"about_ca_system_score_codex":0.000298311,"about_ca_system_score_gemma":0.00018214685,"threshold_uncertainty_score":0.99979466},"labels":[],"label_agreement":null},{"id":"W4297923771","doi":"10.48550/arxiv.1110.5921","title":"Symmetry Preserving Numerical Schemes for Partial Differential Equations\\n and their Numerical Tests","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Fonds Québécois de la Recherche sur la Nature et les Technologies","keywords":"Equivariant map; Mathematics; Partial differential equation; Invariant (physics); Mathematical analysis; Polygon mesh; Logarithm; Finite difference; Heat equation; Symmetry (geometry); Finite difference method; Symmetry group; Pure mathematics; Mathematical physics; Geometry","score_opus":0.22594572902805557,"score_gpt":0.2825772411793574,"score_spread":0.05663151215130183,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4297923771","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14727911,0.0000667115,0.8506776,0.000045166493,0.0004460735,0.0006867575,0.000081079124,0.0001857801,0.00053169567],"genre_scores_gemma":[0.9773259,0.000038133476,0.021474944,0.000025760979,0.00026593223,0.000023631977,0.000055145887,0.0000732126,0.0007173346],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974605,0.00035984494,0.0004620752,0.0010773228,0.000112463305,0.00052779814],"domain_scores_gemma":[0.9960694,0.0021358093,0.00041813753,0.0008537594,0.00020837366,0.00031455446],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003026255,0.0005424829,0.00083983166,0.00022269001,0.0002904101,0.00011841884,0.00066398433,0.00047223357,0.00032172241],"category_scores_gemma":[0.0013728589,0.0005019958,0.0004279012,0.00034376755,0.00017213439,0.00017783834,0.001301932,0.0006186928,0.000012679091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003952928,0.0011553125,0.0013242934,0.000693553,0.00068563543,0.000015199883,0.00050374574,0.0003318478,0.0002961648,0.9840826,0.00046819725,0.010048183],"study_design_scores_gemma":[0.0008260203,0.00016592235,0.0004575224,0.0001318203,0.00046281776,0.0000019222266,0.00011790473,0.4206698,0.00072759384,0.57515246,0.00060377124,0.0006824272],"about_ca_topic_score_codex":0.000092874936,"about_ca_topic_score_gemma":0.000006098917,"teacher_disagreement_score":0.8300468,"about_ca_system_score_codex":0.00009649347,"about_ca_system_score_gemma":0.000108550805,"threshold_uncertainty_score":0.99974316},"labels":[],"label_agreement":null},{"id":"W4309946968","doi":"10.28924/2291-8639-20-2022-63","title":"Numerical Simulation of Singularly Perturbed Delay Differential Equations With Large Delay Using an Exponential Spline","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Delay differential equation; Exponential function; Spline (mechanical); Convergence (economics); Differential equation; Mathematical analysis; Exponential growth; Order of accuracy; Applied mathematics; Method of characteristics","score_opus":0.05362712632050123,"score_gpt":0.3837106602347861,"score_spread":0.3300835339142849,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4309946968","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3028931,0.000029810215,0.69676787,0.000076049706,0.000050413466,0.000096977936,0.000062323,0.000007192723,0.000016289714],"genre_scores_gemma":[0.95728326,0.000006093271,0.04231665,0.000027142665,0.00022091634,0.000021460053,0.000081103295,0.000016025582,0.000027355438],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9978869,0.00021777871,0.00078504224,0.0001932787,0.00078658486,0.00013039543],"domain_scores_gemma":[0.99756616,0.00048653528,0.0009126293,0.00019771146,0.0007274288,0.00010956068],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045086406,0.0001353041,0.00039385192,0.0005829002,0.0002620115,0.00007478807,0.00032071647,0.000037097805,0.0005021952],"category_scores_gemma":[0.00011091463,0.00011204777,0.0002542744,0.00073880237,0.000052986605,0.00022156343,0.00008665204,0.00019875134,2.8355933e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00090698444,0.008559474,0.005783154,0.00003340342,0.008775601,0.000026833968,0.0019227472,0.82935053,0.020158492,0.09579728,0.00002273646,0.028662786],"study_design_scores_gemma":[0.0010481741,0.00031033452,0.0015240029,0.000012376122,0.0023944336,0.000041303785,0.00041670993,0.9821226,0.0003480553,0.010908059,0.0006730769,0.00020089597],"about_ca_topic_score_codex":0.000047234276,"about_ca_topic_score_gemma":0.000013840008,"teacher_disagreement_score":0.6544512,"about_ca_system_score_codex":0.00007522911,"about_ca_system_score_gemma":0.00006880164,"threshold_uncertainty_score":0.5498685},"labels":[],"label_agreement":null},{"id":"W4313241059","doi":"10.1088/978-0-7503-5067-9ch4","title":"Polynomial-based numerical methods for singularly perturbed differential equation on layer-adapted meshes","year":2022,"lang":"en","type":"book-chapter","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Polygon mesh; Mathematics; Polynomial; Applied mathematics; Differential equation; Differential (mechanical device); Mathematical analysis; Geometry; Physics; Thermodynamics","score_opus":0.17949861059014313,"score_gpt":0.41021698968108855,"score_spread":0.23071837909094542,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313241059","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0000232752,0.000058345653,0.87123495,0.0006955692,0.0011499686,0.0014081862,0.00012944147,0.0003349353,0.1249653],"genre_scores_gemma":[0.0029264598,0.0000095050555,0.7600137,0.00049467414,0.0006062612,0.00043781407,0.00059024704,0.00035956685,0.23456177],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99606425,0.0005521882,0.0011203277,0.000980984,0.0007560117,0.00052625395],"domain_scores_gemma":[0.99026984,0.0076688537,0.0007054245,0.00089254644,0.00022221975,0.00024109459],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00095500046,0.00086435233,0.0014509895,0.0004602533,0.00043812042,0.00016575548,0.0005030895,0.0005836587,0.015048395],"category_scores_gemma":[0.0017673805,0.0007424609,0.0010694751,0.00011265139,0.00009348924,0.00009237197,0.00015494044,0.0007496412,0.00003429723],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00074138487,0.0004683171,3.7765383e-7,0.00016176687,0.00039243884,0.0000031994953,0.000083553416,0.000029607016,0.0013898717,0.7687468,0.005904449,0.22207823],"study_design_scores_gemma":[0.0023282883,0.002019927,0.000006193489,0.00014927561,0.0012400291,0.0000028918384,0.000020860061,0.062252395,0.002827393,0.33201703,0.595483,0.0016527208],"about_ca_topic_score_codex":0.00002976082,"about_ca_topic_score_gemma":0.0000057691436,"teacher_disagreement_score":0.5895785,"about_ca_system_score_codex":0.00036040647,"about_ca_system_score_gemma":0.00020611765,"threshold_uncertainty_score":0.99950266},"labels":[],"label_agreement":null},{"id":"W4313422374","doi":"10.1139/cjp-2021-0224","title":"Solving the fourth-order nonlinear boundary value problem by a boundary shape function method","year":2022,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Boundary value problem; Nonlinear system; Mathematical analysis; Function (biology); Convergence (economics); Variable (mathematics); Boundary (topology); Exponential function; Mixed boundary condition; Free boundary problem; Applied mathematics; Mathematics; Physics","score_opus":0.03587688244941777,"score_gpt":0.30875597374238883,"score_spread":0.27287909129297105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313422374","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016677774,0.0006566334,0.9779512,0.002114342,0.0010509331,0.0002408586,0.000094777475,0.000014888646,0.0011985416],"genre_scores_gemma":[0.09213868,0.000020391286,0.9028636,0.0018565255,0.0016321285,0.000046303874,0.000034645793,0.00014436086,0.0012633519],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99812955,0.00056725583,0.00044736423,0.00014108316,0.00038764186,0.00032711294],"domain_scores_gemma":[0.9983234,0.0005058525,0.0004172687,0.00022583439,0.0002357946,0.00029185275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013883249,0.00015701847,0.00028860304,0.000089053785,0.0011077538,0.00019343215,0.00035838204,0.000039942362,0.0007070579],"category_scores_gemma":[0.00027426216,0.00012319608,0.00019909427,0.0005020141,0.00009406164,0.00018814632,0.000049782913,0.0007962206,0.000004231245],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000095080715,0.00032874077,0.00016049165,0.000104023704,0.0006304238,0.00005812984,0.004950824,0.0026909679,0.002839297,0.06718458,0.07066341,0.85029405],"study_design_scores_gemma":[0.00062478945,0.0005732574,0.000081294915,0.000055258683,0.00035663816,0.0001241677,0.0012261149,0.039131872,0.00027997242,0.6378288,0.31938723,0.00033058337],"about_ca_topic_score_codex":0.0009040856,"about_ca_topic_score_gemma":0.00045012197,"teacher_disagreement_score":0.8499634,"about_ca_system_score_codex":0.0002492093,"about_ca_system_score_gemma":0.0017743177,"threshold_uncertainty_score":0.85200584},"labels":[],"label_agreement":null},{"id":"W4317746434","doi":"10.28924/2291-8639-21-2023-5","title":"Computational Approach for a Singularly Perturbed Differential Equations With Mixed Shifts Using a Non-Polynomial Spline","year":2023,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Spline (mechanical); Rate of convergence; Taylor series; Convergence (economics); Applied mathematics; Polynomial; Mathematical analysis; Quadratic equation; Uniform convergence; Differential equation; Quadratic function; Matrix polynomial; Recurrence relation; Geometry; Key (lock)","score_opus":0.0600266257638985,"score_gpt":0.37705408748726454,"score_spread":0.31702746172336604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4317746434","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11518173,0.000012687185,0.8841021,0.00026553933,0.000061305655,0.00023776702,0.000082260216,0.000015794772,0.000040809216],"genre_scores_gemma":[0.7115979,0.0000065099,0.28772512,0.000022537399,0.0003439219,0.000056473815,0.00016036177,0.000014992029,0.000072167306],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99851155,0.00005399837,0.00060643046,0.00020635915,0.00047532536,0.00014633755],"domain_scores_gemma":[0.9976053,0.0008234014,0.00052690896,0.00012744927,0.00080959086,0.00010734178],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003763011,0.00014501002,0.00038220474,0.00074584427,0.00018581781,0.00016550794,0.0002569975,0.000054988825,0.000028303435],"category_scores_gemma":[0.00016750986,0.000112176705,0.0003024635,0.00091433007,0.00007559195,0.00014086947,0.00005040986,0.0001139789,9.59052e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002539593,0.008441184,0.009569363,0.00037216424,0.052822776,0.000032334527,0.004126237,0.38255715,0.040826306,0.34224135,0.0030654212,0.15340611],"study_design_scores_gemma":[0.0013331958,0.00010604972,0.004378645,0.00002263848,0.0021337532,0.000013623672,0.0002540737,0.9660429,0.00016789553,0.02502006,0.0003282517,0.00019892599],"about_ca_topic_score_codex":0.000017090224,"about_ca_topic_score_gemma":0.000007315757,"teacher_disagreement_score":0.5964162,"about_ca_system_score_codex":0.000049980277,"about_ca_system_score_gemma":0.000082303086,"threshold_uncertainty_score":0.45744333},"labels":[],"label_agreement":null},{"id":"W4318427081","doi":"10.5539/jmr.v15n1p1","title":"Numerical Solution of Linear Parabolic Equation With Rational Coefficients","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Space (punctuation); Stability (learning theory); Scheme (mathematics); Mathematical analysis; Variable (mathematics); Parabolic partial differential equation; Variable coefficient; Applied mathematics; Partial differential equation","score_opus":0.372846612156944,"score_gpt":0.5071632792461515,"score_spread":0.13431666708920748,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4318427081","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29740167,0.000018517405,0.7014875,0.00036619892,0.00008249481,0.00019108487,0.0000041015965,0.000016760157,0.00043167928],"genre_scores_gemma":[0.77313673,0.000034410466,0.22630973,0.0000043960144,0.00014072824,0.000010367842,0.0000041379158,0.000027201333,0.0003323135],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9964567,0.00039839683,0.00082358153,0.00010810868,0.0019247917,0.00028842778],"domain_scores_gemma":[0.9948426,0.0029436722,0.000510153,0.0002182867,0.0013674633,0.00011784161],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0052151224,0.00010348837,0.00039123406,0.00059280323,0.00014428377,0.000032194755,0.000274495,0.000075405966,0.00011652412],"category_scores_gemma":[0.0040710117,0.000070804366,0.000110154695,0.0013557057,0.00013420689,0.00012707396,0.000057935933,0.0003734175,0.000046003035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.001322408,0.013821485,0.001652866,0.004140505,0.001226118,0.00012719353,0.016083356,0.01670518,0.07506159,0.78447235,0.018495275,0.06689168],"study_design_scores_gemma":[0.0020007067,0.0018942818,0.0013567982,0.0007506524,0.00011137523,0.00008184549,0.001549936,0.49201387,0.017826332,0.4814706,0.0006687116,0.00027487078],"about_ca_topic_score_codex":0.0000064706906,"about_ca_topic_score_gemma":9.118382e-7,"teacher_disagreement_score":0.47573507,"about_ca_system_score_codex":0.00006304427,"about_ca_system_score_gemma":0.00020412951,"threshold_uncertainty_score":0.4873675},"labels":[],"label_agreement":null},{"id":"W4320517116","doi":"10.1016/j.enganabound.2023.01.022","title":"A reduced-order model based on cubic B-spline basis function and SSP Runge–Kutta procedure to investigate option pricing under jump-diffusion models","year":2023,"lang":"en","type":"article","venue":"Engineering Analysis with Boundary Elements","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"HEC Montréal","funders":"","keywords":"Runge–Kutta methods; Mathematics; Ode; Applied mathematics; Jump diffusion; Ordinary differential equation; Basis function; B-spline; Jump; Spectral method; Mathematical analysis; Differential equation","score_opus":0.03872629025571069,"score_gpt":0.3010140421391433,"score_spread":0.2622877518834326,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4320517116","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43017033,0.000009290814,0.56911945,0.00022481415,0.000035727433,0.00022472425,0.000008195063,0.00017983903,0.00002763588],"genre_scores_gemma":[0.8355582,0.000009655467,0.16353637,0.00015198848,0.000038453978,0.00012362572,0.000106014624,0.000060670733,0.00041503782],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99800867,0.00005898649,0.00045094022,0.0005413574,0.0005580057,0.00038201312],"domain_scores_gemma":[0.9989998,0.00013544445,0.00013232806,0.00038593975,0.00012923204,0.00021728037],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00057662645,0.00032065343,0.00043669096,0.0010588384,0.00025460016,0.00014718999,0.00011281922,0.00008754519,0.00002360876],"category_scores_gemma":[0.00015611417,0.00027178097,0.00010392218,0.0031504212,0.000023379089,0.00019083952,0.000067057874,0.00020444802,0.000007551655],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007484352,0.000112655805,0.00024195554,0.00012141519,0.0004528304,0.0000010772752,0.00015298017,0.9899335,0.00478791,0.002076408,0.00006190139,0.0019825522],"study_design_scores_gemma":[0.0005341531,0.00019042102,0.0019351548,0.00015564686,0.0010404107,3.5440496e-7,0.000048292943,0.9844146,0.00029826566,0.011046964,0.000025069672,0.00031069719],"about_ca_topic_score_codex":0.000023787545,"about_ca_topic_score_gemma":0.000020943102,"teacher_disagreement_score":0.40558308,"about_ca_system_score_codex":0.00012623225,"about_ca_system_score_gemma":0.000076234115,"threshold_uncertainty_score":0.9999734},"labels":[],"label_agreement":null},{"id":"W4322717424","doi":"10.48550/arxiv.2302.13815","title":"Spike Solutions to the Supercritical Fractional Gierer-Meinhardt System","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Supercritical fluid; Nonlinear system; Mathematics; Applied mathematics; Eigenvalues and eigenvectors; Order (exchange); Asymptotic expansion; Focus (optics); Algebraic number; Variety (cybernetics); Spike (software development); Stability (learning theory); Function (biology); Mathematical analysis; Physics; Computer science","score_opus":0.35449144774951735,"score_gpt":0.2928816135023351,"score_spread":0.06160983424718225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4322717424","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07900323,0.0000104005285,0.9138446,0.0012292053,0.0017241291,0.0005471813,0.00018691254,0.0004562178,0.0029981215],"genre_scores_gemma":[0.9896864,0.000018277382,0.0056096585,0.00007809283,0.00038852746,0.000013097454,0.00003339451,0.000052340092,0.004120199],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99795246,0.00040096208,0.00030750508,0.00070953707,0.00018533817,0.0004442109],"domain_scores_gemma":[0.9972528,0.0012578405,0.000057734098,0.00095340714,0.00023161348,0.00024657513],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00066174916,0.0002899877,0.00041030534,0.00021490593,0.00045959774,0.00009796385,0.0007258371,0.00029540813,0.00023998921],"category_scores_gemma":[0.0007864889,0.0002533111,0.0003614163,0.0005930107,0.00011491173,0.00008277663,0.0011807649,0.0007457971,0.0010368256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025732134,0.00012912814,0.000078190096,0.00016804667,0.00014119435,0.00005634191,0.000092677394,0.00892753,0.000025611082,0.9847026,0.0054830313,0.00016994569],"study_design_scores_gemma":[0.0006393218,0.00014007745,0.0025904027,0.0006690635,0.0011983318,0.000018782799,0.0024350625,0.23615459,0.00007802727,0.7390372,0.015800796,0.0012383363],"about_ca_topic_score_codex":0.00024971602,"about_ca_topic_score_gemma":0.00010566503,"teacher_disagreement_score":0.91068316,"about_ca_system_score_codex":0.00035104688,"about_ca_system_score_gemma":0.0001458271,"threshold_uncertainty_score":0.9999919},"labels":[],"label_agreement":null},{"id":"W4366607023","doi":"10.1016/j.cam.2023.115272","title":"A high-order deferred correction method for the solution of free boundary problems using penalty iteration, with an application to American option pricing","year":2023,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Convergence (economics); Boundary (topology); Penalty method; Discontinuity (linguistics); Order of accuracy; Order (exchange); Boundary value problem; Finite difference method; Mathematical optimization; Applied mathematics; Finite difference; Numerical analysis; Mathematical analysis; Numerical stability","score_opus":0.05416673259496567,"score_gpt":0.36295675805944694,"score_spread":0.30879002546448125,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4366607023","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12905431,0.000006754852,0.869934,0.00029962044,0.0000751652,0.0005897232,0.000008045682,0.000021314676,0.000011064786],"genre_scores_gemma":[0.20040974,0.0000034331963,0.7993717,0.00003457897,0.00009364535,0.00004546388,0.000012189468,0.000018779901,0.000010459263],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986728,0.00005398854,0.00063914864,0.00013012529,0.00038025616,0.00012368723],"domain_scores_gemma":[0.9968259,0.0014650596,0.0009132253,0.0001369699,0.0005946887,0.00006415604],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011612237,0.00012767198,0.00033591766,0.00018988269,0.00023898638,0.00007238151,0.00012684255,0.000033705244,0.0000020708294],"category_scores_gemma":[0.00022705985,0.00008408632,0.000051023977,0.00064599345,0.00005871677,0.00012757973,0.000033579163,0.00009931713,4.3376164e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002574634,0.00043376465,0.000012264779,0.0003888868,0.00019017502,2.1694727e-7,0.00336842,0.72210026,0.017806089,0.14240944,0.00022847085,0.11280457],"study_design_scores_gemma":[0.00041958183,0.00030327257,0.00032648843,0.0000670352,0.00013806969,0.00002116849,0.00056502817,0.6329309,0.0006909625,0.36441138,0.000045739678,0.00008038379],"about_ca_topic_score_codex":0.000013987792,"about_ca_topic_score_gemma":0.000010085179,"teacher_disagreement_score":0.22200194,"about_ca_system_score_codex":0.000041869607,"about_ca_system_score_gemma":0.00007648215,"threshold_uncertainty_score":0.34289405},"labels":[],"label_agreement":null},{"id":"W4384010133","doi":"10.2139/ssrn.4496658","title":"Asymptotic Analysis of Periodic Solutions of the Seasonal Sir Model","year":2023,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Econometrics; Applied mathematics; Environmental science; Climatology; Geography; Geology","score_opus":0.09528669616008713,"score_gpt":0.3586688748543062,"score_spread":0.2633821786942191,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384010133","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18227118,0.0005348085,0.8159434,0.0005006329,0.0002654732,0.00018416232,0.00008862229,0.000026247986,0.00018543878],"genre_scores_gemma":[0.9896555,0.0007237224,0.00790027,0.000008821118,0.000075655764,0.000014516547,0.000012310906,0.000039071314,0.0015701373],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99675894,0.00039871022,0.00081036525,0.00024260223,0.00065161445,0.0011377509],"domain_scores_gemma":[0.9976422,0.00042774202,0.0009921776,0.0005831598,0.00028736354,0.00006732519],"candidate_categories":["research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0027072013,0.00022917263,0.00080732844,0.00040981275,0.00020180577,0.000033128592,0.00073204597,0.00020253679,0.00005345777],"category_scores_gemma":[0.00085571094,0.00016077615,0.0013310104,0.0009836827,0.00014921397,0.000035469133,0.00048744527,0.0024831977,0.0000020703908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003280179,0.000400088,0.00065541547,0.00014856312,0.009693997,3.4884508e-7,0.00049378566,0.09371611,0.0003572201,0.88820255,0.00008375563,0.0062153745],"study_design_scores_gemma":[0.00011663948,0.000039866747,0.0009835272,0.00007151712,0.0037505797,0.0000039407037,0.0002014933,0.24852744,0.000025182651,0.74616265,0.000002869124,0.0001142964],"about_ca_topic_score_codex":0.00006866731,"about_ca_topic_score_gemma":0.0004386124,"teacher_disagreement_score":0.8080432,"about_ca_system_score_codex":0.0005061066,"about_ca_system_score_gemma":0.0034873646,"threshold_uncertainty_score":0.9998181},"labels":[],"label_agreement":null},{"id":"W4384568990","doi":"10.23952/jnva.7.2023.2.03","title":"On the strong convergence of a perturbed algorithm to the unique solution of a variational inequality problem","year":2023,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"King Faisal University","keywords":"Variational inequality; Convergence (economics); Inequality; Mathematics; Applied mathematics; Algorithm; Mathematical optimization; Mathematical analysis; Economics","score_opus":0.07698260604804565,"score_gpt":0.3681150040503141,"score_spread":0.2911323980022685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384568990","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06179156,0.0000103018965,0.9329637,0.004917836,0.00004948952,0.0001134358,0.00011028592,0.0000040893556,0.000039240742],"genre_scores_gemma":[0.7285172,0.000025025005,0.27103907,0.000111201975,0.0001575273,0.000008028864,0.00002650203,0.0000069700773,0.00010853827],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9982482,0.00037909974,0.0006645053,0.00008899213,0.0005327273,0.00008648584],"domain_scores_gemma":[0.99616516,0.002427951,0.00062966853,0.00013000901,0.00060040347,0.000046821267],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025230027,0.000080408485,0.00030699666,0.00024695674,0.000094530566,0.000016220329,0.00015946479,0.000040134528,0.0001620262],"category_scores_gemma":[0.0014199014,0.000042268362,0.00022861136,0.0013209232,0.00003449687,0.000057351506,0.00004380861,0.00012731431,0.0000014957641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000267707,0.0009244777,0.002121605,0.00008429668,0.0046612252,0.0000016740216,0.0029463815,0.022958757,0.0017911344,0.9501333,0.0011165072,0.012992893],"study_design_scores_gemma":[0.00027053346,0.00021543977,0.03905374,0.000030748823,0.0008977785,0.0000020777572,0.00017777497,0.7984539,0.00017545185,0.16048932,0.00015460791,0.00007862896],"about_ca_topic_score_codex":0.00006405741,"about_ca_topic_score_gemma":0.000014130247,"teacher_disagreement_score":0.789644,"about_ca_system_score_codex":0.00002311596,"about_ca_system_score_gemma":0.000100558005,"threshold_uncertainty_score":0.17740734},"labels":[],"label_agreement":null},{"id":"W4385170776","doi":"10.1088/1742-6596/2543/1/011001","title":"Preface","year":2023,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"China; Originality; Library science; Political science; Relevance (law); Computer science; Law","score_opus":0.1574002811182535,"score_gpt":0.38970568918328286,"score_spread":0.23230540806502936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385170776","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3112147,0.000021447426,0.6811412,0.0013915375,0.0008175861,0.00011029074,0.000009357918,0.0000958962,0.005197989],"genre_scores_gemma":[0.9610575,0.00007084205,0.036744002,0.000018879926,0.00027745686,0.0000024433323,0.0000011601586,0.00001490076,0.0018128457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991854,0.00007636169,0.00029659332,0.00006225695,0.0002464137,0.00013297472],"domain_scores_gemma":[0.99899447,0.00024899733,0.00027850273,0.0001251202,0.00029204963,0.000060883674],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003063191,0.00008570039,0.0002464544,0.00005071763,0.00005403349,0.00005566601,0.00016855611,0.000030546355,0.00010722874],"category_scores_gemma":[0.00037894747,0.0000646929,0.000104013154,0.00030181234,0.000056591227,0.00031352148,0.00004269583,0.00014420286,0.00003087555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003781339,0.00008490546,0.000072619245,0.000052806063,0.00006459551,0.000008842979,0.0009633739,0.000014604035,0.012656421,0.7428441,0.0022711663,0.24092877],"study_design_scores_gemma":[0.00015210178,0.00016837903,0.00046941993,0.000053052143,0.00003259719,0.000007352394,0.000449482,0.000112609196,0.055714905,0.94054765,0.0022059472,0.00008648059],"about_ca_topic_score_codex":0.0000012640561,"about_ca_topic_score_gemma":9.273082e-7,"teacher_disagreement_score":0.6498428,"about_ca_system_score_codex":0.000011088085,"about_ca_system_score_gemma":0.00007702215,"threshold_uncertainty_score":0.26380995},"labels":[],"label_agreement":null},{"id":"W4385496964","doi":"10.1007/s10203-023-00407-z","title":"Efficient adaptive strategies with fourth-order compact scheme for a fixed-free boundary regime-switching model","year":2023,"lang":"en","type":"article","venue":"Decisions in Economics and Finance","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Boundary (topology); Smoothness; Mathematics; Nonlinear system; Boundary value problem; Mathematical analysis; Partial differential equation; Interpolation (computer graphics); Free boundary problem; Hermite polynomials; Robin boundary condition; Function (biology); Applied mathematics; Computer science; Physics","score_opus":0.08333962724409123,"score_gpt":0.34082459150471145,"score_spread":0.25748496426062023,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385496964","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5159935,0.00003235355,0.48311323,0.00016748479,0.00004406082,0.00019183572,0.00004137268,0.000017935996,0.00039825882],"genre_scores_gemma":[0.46979102,0.000593407,0.52936476,0.000022237178,0.000017484963,0.00004877191,0.0000043003142,0.000023390636,0.00013464066],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9990469,0.000019677726,0.00031808845,0.00030726835,0.00005859416,0.00024942047],"domain_scores_gemma":[0.998277,0.001125442,0.00012856208,0.00037652205,0.00005520974,0.000037284033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042561398,0.00015155808,0.00032020672,0.0001445081,0.00018853192,0.00011264543,0.00018547008,0.00006424772,0.0000013209076],"category_scores_gemma":[0.00036466413,0.00012688784,0.000052284217,0.00023368977,0.00006137687,0.00009177916,0.00008956,0.00012574399,0.0000028814736],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021368494,0.00012651634,0.000047422254,0.000007761142,0.000027598437,0.0000028328864,0.00071125716,0.38009503,0.000020870146,0.5471112,0.00036245422,0.07127337],"study_design_scores_gemma":[0.00052433985,0.00006627057,0.00032362292,0.0000437266,0.0000061258434,0.0000014421314,0.0002503503,0.62498635,0.000007017639,0.3727988,0.00087869103,0.00011324375],"about_ca_topic_score_codex":0.000014715748,"about_ca_topic_score_gemma":0.00010774323,"teacher_disagreement_score":0.24489133,"about_ca_system_score_codex":0.000038511844,"about_ca_system_score_gemma":0.0001212839,"threshold_uncertainty_score":0.51743364},"labels":[],"label_agreement":null},{"id":"W4386283196","doi":"10.18280/mmep.100440","title":"Numerical Finite Difference Scheme for a Two-Dimensional Time-Fractional Semilinear Diffusion Equation","year":2023,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Scheme (mathematics); Finite difference scheme; Diffusion; Central differencing scheme; Diffusion equation; Mathematical analysis; Finite difference method; Finite difference; Applied mathematics; Finite difference coefficient; Physics; Finite element method; Thermodynamics; Mixed finite element method; Engineering","score_opus":0.08880002011941503,"score_gpt":0.3107695944716948,"score_spread":0.22196957435227976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386283196","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07585788,0.000023369652,0.92301047,0.00019504492,0.000085733824,0.0003617857,0.000011765232,0.00039026525,0.00006370101],"genre_scores_gemma":[0.27315587,0.000010463314,0.724864,0.000027207272,0.00018097261,0.00031390952,0.000072952855,0.000088194356,0.0012863979],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9984495,0.00003484016,0.00046999057,0.00034036106,0.00033168588,0.00037363655],"domain_scores_gemma":[0.9964025,0.0030792998,0.000081451406,0.00019203586,0.000086342785,0.00015836667],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00061872834,0.00024275733,0.0003835612,0.00014482214,0.00016129576,0.000067716355,0.00009989771,0.00011444543,0.00006158184],"category_scores_gemma":[0.00084734434,0.00020463376,0.00011349244,0.0002981231,0.000029711555,0.00007713511,0.00006240366,0.00020462026,0.00007095704],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002629947,0.00019227386,0.0000048930674,0.00067212264,0.000046043784,0.00000105855,0.00022202675,0.93181413,0.0059743514,0.059173103,0.0000838992,0.0017897914],"study_design_scores_gemma":[0.00033779975,0.00005156924,0.0000048318598,0.00017733074,0.000026699026,0.000003939482,0.0000033799479,0.7411439,0.00014200664,0.25784674,0.000075796605,0.00018604513],"about_ca_topic_score_codex":0.0000036136942,"about_ca_topic_score_gemma":5.0443266e-8,"teacher_disagreement_score":0.19867364,"about_ca_system_score_codex":0.000027060023,"about_ca_system_score_gemma":0.000015836773,"threshold_uncertainty_score":0.83447224},"labels":[],"label_agreement":null},{"id":"W4386915696","doi":"10.1016/j.camwa.2023.08.032","title":"Positivity preserving temporal second-order spatial fourth-order conservative characteristic methods for convection dominated diffusion equations","year":2023,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"Fundamental Research Funds for the Central Universities; Natural Science Foundation of Shandong Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Convection–diffusion equation; Piecewise; Finite element method; Applied mathematics; Conservation of mass; Computation; Interpolation (computer graphics); Conservation law; Operator (biology); Numerical analysis; Property (philosophy); Mathematical optimization; Mathematical analysis; Algorithm; Computer science","score_opus":0.06236805899570136,"score_gpt":0.38623599372592093,"score_spread":0.3238679347302196,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386915696","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016306063,0.000008370196,0.97850853,0.00061887153,0.00019667248,0.003331683,0.00011413213,0.0005434034,0.00037229696],"genre_scores_gemma":[0.034875114,0.00000615781,0.96026564,0.000076361954,0.00014149766,0.003314057,0.00040623744,0.00009665495,0.0008183071],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9976041,0.00032753934,0.0007715258,0.00056175515,0.0002794402,0.00045564136],"domain_scores_gemma":[0.9900155,0.0076139965,0.0006215617,0.0007331178,0.0008370386,0.00017877713],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001115812,0.00038576912,0.0006500455,0.00029677863,0.0006548244,0.00017400236,0.00037240738,0.00015920817,0.0001355906],"category_scores_gemma":[0.0010674427,0.0003343861,0.00014022601,0.0015073392,0.00016095891,0.00020337409,0.0001995984,0.00024270141,0.000039440438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038293726,0.0046354104,0.0005029355,0.0040739886,0.0014543271,0.0000075694684,0.011866989,0.0004528628,0.02726344,0.64384884,0.0036088282,0.30190188],"study_design_scores_gemma":[0.0012034721,0.00019109352,0.0008392052,0.00015747613,0.00025991563,0.000009529713,0.00029529363,0.7748142,0.0011627366,0.21815298,0.0024391515,0.00047493537],"about_ca_topic_score_codex":0.00004609615,"about_ca_topic_score_gemma":0.00006290475,"teacher_disagreement_score":0.7743614,"about_ca_system_score_codex":0.000093022514,"about_ca_system_score_gemma":0.00012944342,"threshold_uncertainty_score":0.99991083},"labels":[],"label_agreement":null},{"id":"W4387730329","doi":"10.3390/sym15101929","title":"A Novel Quintic B-Spline Technique for Numerical Solutions of the Fourth-Order Singular Singularly-Perturbed Problems","year":2023,"lang":"en","type":"article","venue":"Symmetry","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"King Saud University","keywords":"Boundary value problem; Linearization; Mathematics; Applied mathematics; Singular perturbation; Partition (number theory); Mathematical optimization; Mathematical analysis; Nonlinear system; Physics","score_opus":0.09245087461050795,"score_gpt":0.3518297824752021,"score_spread":0.25937890786469414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387730329","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0057756808,0.000031528558,0.99126756,0.0011156979,0.00031329613,0.0010635197,0.00003644935,0.00014705128,0.00024924203],"genre_scores_gemma":[0.32973522,0.0000032139526,0.6687739,0.00008261915,0.00011304296,0.00036282217,0.000014939858,0.00006423255,0.0008499921],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984929,0.00011297037,0.00047478112,0.000258517,0.00028567188,0.0003751728],"domain_scores_gemma":[0.9979215,0.0010535104,0.00020474619,0.0005191322,0.0002358731,0.00006523998],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008735883,0.0001765435,0.00035848562,0.00015795224,0.00022250728,0.00002915019,0.00030159624,0.00014362944,0.0000309048],"category_scores_gemma":[0.004161844,0.00012214911,0.00027740892,0.0015688027,0.000108066146,0.0000543023,0.00017628637,0.00019294326,0.0000070882343],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058504902,0.0018123495,0.00021152369,0.0010942644,0.0003542319,0.0000015500684,0.0008572998,0.0001878624,0.6919385,0.2761715,0.003599039,0.023713363],"study_design_scores_gemma":[0.0015929168,0.00048811844,0.00081302854,0.0005202591,0.00045140286,0.000025580597,0.00024301122,0.10106508,0.04862246,0.8409642,0.0045361994,0.00067776314],"about_ca_topic_score_codex":0.000033413977,"about_ca_topic_score_gemma":0.0000046125606,"teacher_disagreement_score":0.64331603,"about_ca_system_score_codex":0.00004191747,"about_ca_system_score_gemma":0.000075026546,"threshold_uncertainty_score":0.49824166},"labels":[],"label_agreement":null},{"id":"W4388825807","doi":"10.2495/be460111","title":"A NOVEL BOUNDARY INTEGRAL METHOD FOR SLOW FREE SURFACE FLOWS","year":2023,"lang":"en","type":"article","venue":"WIT transactions on engineering sciences","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Die swell; Singularity; Stokes flow; Gravitational singularity; Free surface; Mathematical analysis; Reynolds number; Boundary (topology); Singular point of a curve; Mathematics; Boundary value problem; Flow (mathematics); Geometry; Mechanics; Physics; Materials science; Extrusion","score_opus":0.08441108941680159,"score_gpt":0.365839017073796,"score_spread":0.2814279276569944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388825807","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009555508,0.000010556268,0.9881245,0.0006896492,0.0007315881,0.00023504748,0.0001143337,0.00040595455,0.00013289458],"genre_scores_gemma":[0.06502252,0.0000057798347,0.93423444,0.000020857779,0.000039101247,0.00007509255,0.000002242755,0.000023411634,0.0005765571],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989088,0.000026297976,0.00021464544,0.00027583342,0.00026688873,0.00030750316],"domain_scores_gemma":[0.9982313,0.0013829024,0.000033251166,0.00022905807,0.00004674303,0.000076729855],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095120264,0.00014948747,0.0002015643,0.00021307894,0.0003112187,0.00009931292,0.00032387374,0.000058067457,0.000051571813],"category_scores_gemma":[0.00038325682,0.00012389285,0.00014252804,0.0011172349,0.000057253783,0.00014463508,0.0000054129246,0.00014686378,0.000009130192],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043827837,0.00043953626,0.0000033536332,0.00024424476,0.00014793253,0.000001678865,0.0009506926,0.7357607,0.062165573,0.08791871,0.0011262533,0.11119751],"study_design_scores_gemma":[0.00032647722,0.00018349885,0.000039503957,0.00005490912,0.000038823586,0.000003848665,0.00017395608,0.96382195,0.0042536827,0.02870769,0.0021881699,0.00020747168],"about_ca_topic_score_codex":0.000032942477,"about_ca_topic_score_gemma":0.000016280215,"teacher_disagreement_score":0.22806127,"about_ca_system_score_codex":0.000032077696,"about_ca_system_score_gemma":0.000046638568,"threshold_uncertainty_score":0.50522035},"labels":[],"label_agreement":null},{"id":"W4389103021","doi":"10.1134/s1995080223080024","title":"On a Discrete Boundary Value Problem in a Quarter-Plane","year":2023,"lang":"en","type":"article","venue":"Lobachevskii Journal of Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Quarter (Canadian coin); Plane (geometry); Boundary value problem; Value (mathematics); Mathematical analysis; Algebra over a field; Calculus (dental); Pure mathematics; Geometry; Statistics","score_opus":0.05106870634339987,"score_gpt":0.3599141913072084,"score_spread":0.30884548496380854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389103021","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7994146,0.00009485698,0.18512894,0.0016940656,0.00056024455,0.00060502655,0.000025273279,0.00014212442,0.01233491],"genre_scores_gemma":[0.48231068,0.00007454697,0.5164003,0.000111239795,0.00021552133,0.00002136527,0.0000066445205,0.00008509999,0.00077460543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974863,0.0002125059,0.0011567563,0.00014540348,0.0006466715,0.00035238755],"domain_scores_gemma":[0.99693555,0.0018560125,0.0006585555,0.00030969921,0.000098777615,0.00014138136],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020146456,0.00022493755,0.0006413122,0.00041774643,0.000067903406,0.00008778286,0.0003500674,0.000110975096,0.00011076873],"category_scores_gemma":[0.0012776032,0.00016611449,0.00021637515,0.0007076632,0.00005996471,0.00014326208,0.000057519897,0.0004355914,0.00010364264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018010302,0.0030963141,0.00034473167,0.0017944084,0.00037820506,0.0005442905,0.011673219,0.0005738033,0.0016279244,0.9469603,0.017259384,0.015567365],"study_design_scores_gemma":[0.0009401219,0.00054639333,0.0002746484,0.0008124157,0.00006710251,0.00012054325,0.0010630778,0.0037790462,0.00024973333,0.99147445,0.0004791225,0.00019334903],"about_ca_topic_score_codex":0.000004489205,"about_ca_topic_score_gemma":0.0000054421844,"teacher_disagreement_score":0.33127135,"about_ca_system_score_codex":0.000088401925,"about_ca_system_score_gemma":0.00007970655,"threshold_uncertainty_score":0.6773952},"labels":[],"label_agreement":null},{"id":"W4389778562","doi":"10.1016/j.matcom.2023.12.009","title":"A decoupled, linearly implicit and high-order structure-preserving scheme for Euler–Poincaré equations","year":2023,"lang":"en","type":"article","venue":"Mathematics and Computers in Simulation","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Champlain Regional College; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Discretization; Mathematics; Nonlinear system; Backward Euler method; Euler equations; Applied mathematics; Scheme (mathematics); Euler's formula; Function (biology); Order (exchange); Mathematical analysis; Physics","score_opus":0.06864443697765081,"score_gpt":0.3733212430367805,"score_spread":0.30467680605912967,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389778562","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3776771,0.000014466406,0.6216773,0.00011904083,0.00008940406,0.00033002754,0.000012861339,0.000059291484,0.000020553038],"genre_scores_gemma":[0.48542523,0.000006546198,0.51440287,0.000021268896,0.000050717015,0.000027820297,0.000021631326,0.000021052834,0.000022841734],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99893314,0.00003515811,0.00042198232,0.00023945268,0.00015855717,0.00021171222],"domain_scores_gemma":[0.9954311,0.0040524392,0.00013676072,0.00021287765,0.00010710758,0.00005966996],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004000409,0.00015797766,0.00029750165,0.00020261723,0.00014222998,0.0001296291,0.00010043608,0.00009050345,0.000015844375],"category_scores_gemma":[0.0009500134,0.00014450579,0.000038088194,0.00042401179,0.000029680017,0.00012145556,0.00013430954,0.00008649909,0.0000015347581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044547076,0.00031621254,0.000662449,0.001709309,0.00015453402,0.0000027622561,0.0055301553,0.0519449,0.0036426138,0.8350014,0.00024148416,0.10074961],"study_design_scores_gemma":[0.00041568096,0.000030425475,0.0005875097,0.000056716548,0.000016398775,4.1671842e-7,0.00006795991,0.6008948,0.000022655677,0.3977767,0.00003270916,0.000098045966],"about_ca_topic_score_codex":0.00001588554,"about_ca_topic_score_gemma":0.000018925952,"teacher_disagreement_score":0.5489499,"about_ca_system_score_codex":0.000019835836,"about_ca_system_score_gemma":0.000012500961,"threshold_uncertainty_score":0.5892775},"labels":[],"label_agreement":null},{"id":"W4390440319","doi":"10.1007/978-3-031-39524-6","title":"A Short Introduction to Partial Differential Equations","year":2023,"lang":"en","type":"book","venue":"CMS/CAIMS books in mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Applied mathematics; Mathematics","score_opus":0.10960374951403648,"score_gpt":0.3726835140288916,"score_spread":0.26307976451485515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390440319","genre_codex":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00071099587,0.000036987254,0.90745264,0.00065510353,0.0033099353,0.0026036524,0.00014480294,0.0007737197,0.08431218],"genre_scores_gemma":[0.001028353,0.00002722545,0.073262684,0.000054412172,0.0038109475,0.0007029857,0.000236231,0.00043888355,0.9204383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9952716,0.00019969717,0.0018133299,0.00093111617,0.001026943,0.0007572799],"domain_scores_gemma":[0.9954863,0.0021482517,0.00040400532,0.0014488329,0.00021180208,0.0003008025],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010372878,0.0007912904,0.00148335,0.0008692839,0.00018706615,0.00020873823,0.0006895793,0.00065993384,0.00063728966],"category_scores_gemma":[0.003295046,0.00076270854,0.0004312123,0.00045317612,0.00015078031,0.00011515405,0.00043908122,0.0009580137,0.00085843215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033365046,0.0007011157,0.0000021612873,0.0011033383,0.0002523982,0.000026745089,0.0020769066,0.0000732013,0.0003489183,0.83841574,0.14048214,0.01648397],"study_design_scores_gemma":[0.00036176364,0.00016081202,0.0000139856875,0.0007401488,0.00044050446,0.000007156731,0.00012564563,0.00811487,0.00026066773,0.96043926,0.028399628,0.0009355227],"about_ca_topic_score_codex":0.0000055889586,"about_ca_topic_score_gemma":0.000057256704,"teacher_disagreement_score":0.8361261,"about_ca_system_score_codex":0.00054552895,"about_ca_system_score_gemma":0.00024304213,"threshold_uncertainty_score":0.99991953},"labels":[],"label_agreement":null},{"id":"W4391187564","doi":"10.1080/17476933.2023.2293796","title":"Solvability in the sense of sequences for some linear and nonlinear Fredholm operators with the logarithmic Laplacian","year":2024,"lang":"en","type":"article","venue":"Complex Variables and Elliptic Equations","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Nonlinear system; Laplace operator; Sense (electronics); Fredholm integral equation; Fredholm theory; Mathematical analysis; Fredholm determinant; Pure mathematics; Applied mathematics; Integral equation","score_opus":0.10323935367477946,"score_gpt":0.3628002432805686,"score_spread":0.25956088960578916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391187564","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4002471,0.00053964264,0.5936772,0.0039092135,0.00009138788,0.0010217609,0.0001563331,0.00003731682,0.00032005445],"genre_scores_gemma":[0.8836192,0.000049585327,0.11595137,0.000115736446,0.00008109853,0.00008218985,0.000017868442,0.0000125053,0.000070436065],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99911326,0.00017147954,0.00025756212,0.00018923383,0.00012383166,0.00014462158],"domain_scores_gemma":[0.99619246,0.0034624955,0.00004935599,0.0002063058,0.000058678695,0.000030734554],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010152727,0.000111929425,0.00019865908,0.00005178865,0.00020632827,0.000105315994,0.00010030897,0.000038260143,0.000028831002],"category_scores_gemma":[0.00035853547,0.000056273315,0.000034517452,0.000257974,0.00023629771,0.000091938906,0.000031877313,0.00011869479,8.1698477e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017813423,0.00011366466,0.00008168191,0.0002500701,0.000055685035,0.0000015023007,0.0020623186,0.0002457076,0.0007188941,0.9921418,0.00012171405,0.004189175],"study_design_scores_gemma":[0.00033418703,0.000227937,0.00039305017,0.000113319904,0.00017547903,0.00001089805,0.0018649005,0.59286666,0.0000862355,0.4004879,0.0032886472,0.00015078027],"about_ca_topic_score_codex":0.00011411864,"about_ca_topic_score_gemma":0.00012316549,"teacher_disagreement_score":0.59262097,"about_ca_system_score_codex":0.000010929042,"about_ca_system_score_gemma":0.0000663761,"threshold_uncertainty_score":0.22947592},"labels":[],"label_agreement":null},{"id":"W4391215604","doi":"10.5539/jmr.v16n1p31","title":"The Upwind Finite Volume Element Method for Two-Dimensional Time Fractional Coupled Burgers’ Equation","year":2024,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Upwind scheme; Finite element method; Mathematical analysis; Applied mathematics; Burgers' equation; Finite volume method; Volume (thermodynamics); Mechanics; Partial differential equation; Thermodynamics","score_opus":0.22587807820777478,"score_gpt":0.5095210807689872,"score_spread":0.2836430025612124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391215604","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00538898,0.00030854522,0.9892526,0.0036243217,0.00050469366,0.00051861187,0.000016641634,0.000022244178,0.00036330702],"genre_scores_gemma":[0.014049757,0.0000362864,0.9756725,0.000032748954,0.0008726553,0.000089663416,0.000008744409,0.000072229224,0.009165437],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9957743,0.0006031025,0.0011036618,0.0001826833,0.0019112931,0.00042491534],"domain_scores_gemma":[0.962494,0.035409328,0.0003423424,0.00026819817,0.0013330677,0.00015303883],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.02018313,0.00016106972,0.0003888007,0.00038164674,0.00047589673,0.00038991607,0.00036418866,0.00008866377,0.0008766156],"category_scores_gemma":[0.008942533,0.000099091936,0.00034011182,0.00046925698,0.000100163066,0.00019351875,0.0000980039,0.0006858206,0.0001235876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00061451003,0.002561504,0.0000075608973,0.0015679986,0.002248839,0.00007082488,0.002812055,0.0072158207,0.050235786,0.64626414,0.15252413,0.13387682],"study_design_scores_gemma":[0.0002812635,0.0001947411,0.0000030721487,0.00015077418,0.000064333166,0.000029710423,0.00013780048,0.5682368,0.0005998395,0.42210183,0.008128532,0.000071277915],"about_ca_topic_score_codex":0.000004641809,"about_ca_topic_score_gemma":0.0000014653783,"teacher_disagreement_score":0.56102103,"about_ca_system_score_codex":0.00021192121,"about_ca_system_score_gemma":0.00033632966,"threshold_uncertainty_score":0.99940556},"labels":[],"label_agreement":null},{"id":"W4391349868","doi":"10.18280/mmep.110118","title":"Hybrid Difference Scheme for Singularly Perturbed Differential Equation with Discontinuous Source Term","year":2024,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Term (time); Scheme (mathematics); Differential equation; Method of matched asymptotic expansions; Mathematics; Applied mathematics; Differential (mechanical device); Mathematical analysis; Physics","score_opus":0.059032219731295174,"score_gpt":0.27732412860931926,"score_spread":0.21829190887802408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391349868","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21558179,0.00015584606,0.7832802,0.000089001456,0.00009026552,0.0004075422,0.000008654333,0.00034580272,0.000040888794],"genre_scores_gemma":[0.66289604,0.000010213481,0.3361444,0.0000043460523,0.000100355704,0.00016972535,0.000012310133,0.000074337375,0.0005882608],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.998537,0.000024047335,0.00040680918,0.0004059218,0.00024786108,0.00037835463],"domain_scores_gemma":[0.9985452,0.0009889563,0.000052236024,0.0002232555,0.000052523963,0.00013778554],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00027714716,0.00030918303,0.0004263021,0.00011415391,0.00011021636,0.00039067332,0.00011867661,0.00008253674,0.000019838064],"category_scores_gemma":[0.00017466057,0.00021728786,0.00010850354,0.000106906795,0.00004876076,0.000117028285,0.00004244223,0.00022448694,0.0000037586215],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011393081,0.000674961,0.000018228973,0.014561414,0.0005618903,0.000011724243,0.003938313,0.05435317,0.018815419,0.8508831,0.000045976813,0.056021877],"study_design_scores_gemma":[0.00023286653,0.00012037162,0.0000036879915,0.0008964702,0.000112042944,0.000015110012,0.0000119888,0.8042144,0.00035863492,0.19367754,0.00008940306,0.00026745573],"about_ca_topic_score_codex":0.0000035547637,"about_ca_topic_score_gemma":1.9131289e-7,"teacher_disagreement_score":0.74986124,"about_ca_system_score_codex":0.000028821916,"about_ca_system_score_gemma":0.000015654214,"threshold_uncertainty_score":0.8860741},"labels":[],"label_agreement":null},{"id":"W4391531685","doi":"10.28924/2291-8639-22-2024-28","title":"Convergence of Modified S-Iteration to Common Fixed Points of Asymptotically Nonexpansive Mappings in Hyperbolic Spaces","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Fixed point; Convergence (economics); Applied mathematics; Pure mathematics; Mathematical analysis","score_opus":0.03058744684946206,"score_gpt":0.3800982188614806,"score_spread":0.3495107720120185,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4391531685","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46889368,0.0000672437,0.5297564,0.0009709706,0.00004252931,0.00007969807,0.000017999837,0.0000031535644,0.00016830477],"genre_scores_gemma":[0.9712474,0.00008235811,0.028525822,0.00003646852,0.0000500675,0.000012175464,0.000006302808,0.0000051244056,0.00003432543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99874175,0.00006012664,0.00071479933,0.00011218087,0.00030960306,0.00006151572],"domain_scores_gemma":[0.9986005,0.00047337447,0.00028328973,0.00010045358,0.0004864908,0.000055931265],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004051699,0.00007392561,0.00033058357,0.00068414083,0.000015330625,0.00004594153,0.00019004589,0.00003596341,0.000062890824],"category_scores_gemma":[0.0001614096,0.00006124205,0.00015737163,0.0007581832,0.000044168413,0.00010170598,0.00003818019,0.0000887059,0.0000013828046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017480153,0.0010741397,0.011856851,0.00019377771,0.0037902521,0.000010328947,0.0037584768,0.0035551093,0.09975964,0.781888,0.00016391979,0.093774684],"study_design_scores_gemma":[0.0016476955,0.0006241087,0.11193138,0.0012241275,0.0034869662,0.00004837267,0.0018684068,0.1868482,0.051616732,0.63688743,0.0031315957,0.00068497413],"about_ca_topic_score_codex":0.00005609029,"about_ca_topic_score_gemma":0.000027121543,"teacher_disagreement_score":0.50235367,"about_ca_system_score_codex":0.000026046337,"about_ca_system_score_gemma":0.000033255394,"threshold_uncertainty_score":0.24973781},"labels":[],"label_agreement":null},{"id":"W4392380149","doi":"10.1007/s40879-024-00729-1","title":"On solvability of some systems of Fredholm integro-differential equations with mixed diffusion in a square","year":2024,"lang":"en","type":"article","venue":"European Journal of Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Square (algebra); Diffusion; Mathematical analysis; Differential equation; Fredholm integral equation; Fredholm theory; Integral equation; Physics; Geometry; Thermodynamics","score_opus":0.06133348162029645,"score_gpt":0.320813601332583,"score_spread":0.25948011971228657,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392380149","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6137302,0.00011098431,0.38529587,0.000033479053,0.00026230462,0.0001655078,0.000014342162,0.000014414021,0.0003729197],"genre_scores_gemma":[0.96124506,0.000014794108,0.03852597,0.0000030914239,0.0000776045,0.000002339424,0.0000017819051,0.000047746416,0.000081598126],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99684805,0.00073322206,0.0015260332,0.00014437934,0.00058916264,0.00015914996],"domain_scores_gemma":[0.99616855,0.0023616941,0.00080890086,0.00033857382,0.00024043147,0.00008181817],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018770447,0.00019833905,0.00068415655,0.00038150998,0.000028104325,0.000048280854,0.00028829204,0.00004089554,0.00007114924],"category_scores_gemma":[0.0016937845,0.0001258706,0.00021314586,0.00034487998,0.000102920974,0.00012815068,0.00006247101,0.0003593527,0.000006961208],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002876599,0.0063800937,0.00017056645,0.008441369,0.0004848811,0.00016237011,0.011022599,0.00094011816,0.017317953,0.942428,0.00049568363,0.011868695],"study_design_scores_gemma":[0.0077958493,0.011721568,0.005389214,0.04818254,0.0018242766,0.00027082997,0.012418567,0.22961709,0.013924025,0.667206,0.00025454108,0.0013954854],"about_ca_topic_score_codex":0.000005447223,"about_ca_topic_score_gemma":0.0000029827274,"teacher_disagreement_score":0.3475149,"about_ca_system_score_codex":0.000053937507,"about_ca_system_score_gemma":0.00007054378,"threshold_uncertainty_score":0.51328546},"labels":[],"label_agreement":null},{"id":"W4399351249","doi":"10.2139/ssrn.4853405","title":"Local Smooth Solutions to the Euler-Poissonequations for Semiconductor in Vacuum","year":2024,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Semiconductor; Euler's formula; Materials science; Mathematics; Physics; Pure mathematics; Condensed matter physics; Mathematical analysis; Optoelectronics","score_opus":0.08427459526840235,"score_gpt":0.3735993279527752,"score_spread":0.2893247326843728,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399351249","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022955256,0.0021788024,0.95910525,0.012613842,0.0017774962,0.0010053184,0.000089194284,0.00006779818,0.00020706326],"genre_scores_gemma":[0.9645981,0.0008906088,0.028588811,0.00019227077,0.0013421115,0.00076301355,0.000038347924,0.00015887985,0.0034278382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960059,0.00033222346,0.000762022,0.00042709988,0.0003463995,0.0021263359],"domain_scores_gemma":[0.9979046,0.0010599253,0.00023667922,0.00048277644,0.00018125691,0.000134737],"candidate_categories":["research_integrity"],"consensus_categories":[],"category_scores_codex":[0.004303927,0.00033508355,0.00047665738,0.00035112997,0.00032213746,0.0002116725,0.0006691702,0.0002627502,0.00005951388],"category_scores_gemma":[0.0011585739,0.00023766914,0.0004316505,0.00042753038,0.000054388667,0.000049503353,0.0005203684,0.0048408164,0.000055666194],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003215496,0.00018527149,0.00000326548,0.00008658759,0.00027877188,0.0000010619425,0.00064043945,0.000713133,0.000199025,0.94579965,0.0021616407,0.04989901],"study_design_scores_gemma":[0.00025514993,0.0001595655,0.00001989198,0.00019102392,0.00025056294,0.00002574655,0.0010570367,0.009027321,0.000042355026,0.9844688,0.004225328,0.0002771886],"about_ca_topic_score_codex":0.00012837005,"about_ca_topic_score_gemma":0.0032168867,"teacher_disagreement_score":0.9416429,"about_ca_system_score_codex":0.0018254751,"about_ca_system_score_gemma":0.003288342,"threshold_uncertainty_score":0.99745506},"labels":[],"label_agreement":null},{"id":"W4399666992","doi":"10.1063/5.0210301","title":"High order finite difference methodology for 2D convection-diffusion equation in complex domains","year":2024,"lang":"en","type":"article","venue":"AIP conference proceedings","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Windsor","funders":"","keywords":"Finite difference method; Order (exchange); Numerical solution of the convection–diffusion equation; Diffusion; Computer science; Convection; Convection–diffusion equation; Finite difference; Diffusion equation; Applied mathematics; Mathematics; Finite element method; Mathematical analysis; Physics; Mechanics; Thermodynamics; Engineering; Mixed finite element method; Business","score_opus":0.2352127562155055,"score_gpt":0.40165715448727185,"score_spread":0.16644439827176635,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4399666992","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16237709,0.000027722659,0.83484524,0.0009782457,0.0004043861,0.0006237897,0.000018573763,0.00020606013,0.00051887456],"genre_scores_gemma":[0.7257011,0.000035898545,0.27315238,0.000113731,0.000111952606,0.00030599136,0.000032851214,0.000031794803,0.0005143264],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99809676,0.000101617305,0.0005836411,0.00055829197,0.0002523247,0.00040736032],"domain_scores_gemma":[0.99603295,0.0031251234,0.00015322263,0.00013581105,0.0004565023,0.00009635786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010779265,0.000276245,0.000504187,0.00032908015,0.00013902967,0.00021642937,0.00024153585,0.00020641873,0.00038791893],"category_scores_gemma":[0.0032450974,0.00023765673,0.00010012877,0.00071761175,0.00011460435,0.00022690812,0.000093368224,0.0002940706,0.000021281268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006228331,0.00015527765,0.0009502538,0.0004430627,0.000038932754,0.00000129992,0.002035564,0.0000017675225,0.056619816,0.8982691,0.00032065756,0.041101977],"study_design_scores_gemma":[0.0006095561,0.0003187385,0.0030611258,0.00019610517,0.00007617662,0.0000031205439,0.00054159376,0.19493474,0.0012136215,0.7972394,0.0014925336,0.0003132606],"about_ca_topic_score_codex":0.0001738203,"about_ca_topic_score_gemma":0.000069240115,"teacher_disagreement_score":0.563324,"about_ca_system_score_codex":0.000101060396,"about_ca_system_score_gemma":0.00010246625,"threshold_uncertainty_score":0.969136},"labels":[],"label_agreement":null},{"id":"W4400893717","doi":"10.1137/23m1607507","title":"Rigorous Computation of Solutions of Semilinear PDEs on Unbounded Domains via Spectral Methods","year":2024,"lang":"en","type":"article","venue":"SIAM Journal on Applied Dynamical Systems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University","funders":"","keywords":"Computation; Applied mathematics; Computer science; Mathematics; Domain (mathematical analysis); Mathematical optimization; Mathematical analysis; Algorithm","score_opus":0.06023739519557038,"score_gpt":0.39854312280940324,"score_spread":0.3383057276138329,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400893717","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.041112855,0.00016191814,0.95324975,0.00010488926,0.00093731337,0.0003551334,0.00002367157,0.000074405776,0.003980055],"genre_scores_gemma":[0.84699917,0.000010804639,0.15263098,0.000010873444,0.00021837716,0.000013563471,0.000006471961,0.000035736593,0.00007401013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972127,0.0005835164,0.0010851738,0.00024808216,0.00056837953,0.00030216522],"domain_scores_gemma":[0.99732053,0.0018216058,0.0003912859,0.00020287938,0.00010484184,0.00015884743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018043601,0.00022633503,0.0006673212,0.00028460156,0.00013520964,0.0000893216,0.00018672418,0.00015873683,0.000038192262],"category_scores_gemma":[0.00019877535,0.00016863694,0.00028072947,0.00047150368,0.00013036162,0.000047607493,0.00003388706,0.00052905176,0.000018363158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013906707,0.00059256196,0.0000026651692,0.00048309265,0.0002854157,0.000009085229,0.00018926858,0.005811126,0.047301482,0.9173418,0.00015430154,0.027690088],"study_design_scores_gemma":[0.00066837546,0.0008078432,0.00008548576,0.00064998824,0.00018907688,0.00008388129,0.00016896914,0.48254246,0.002173112,0.5120657,0.00029960833,0.00026548712],"about_ca_topic_score_codex":0.000015599064,"about_ca_topic_score_gemma":0.0000024516235,"teacher_disagreement_score":0.8058863,"about_ca_system_score_codex":0.0002157804,"about_ca_system_score_gemma":0.000064706765,"threshold_uncertainty_score":0.68768144},"labels":[],"label_agreement":null},{"id":"W4402804604","doi":"10.28924/2291-8639-22-2024-156","title":"Variational Iteration Method for Solving Reaction Diffusion Equation in Oscillatory Chemical Reactions","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Princess Nourah Bint Abdulrahman University","keywords":"Reaction–diffusion system; Mathematics; Chemical equation; Applied mathematics; Chemical reaction; Diffusion; Mathematical analysis; Thermodynamics; Physical chemistry; Chemistry; Physics","score_opus":0.04524283531710496,"score_gpt":0.4074333134024956,"score_spread":0.3621904780853906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402804604","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.018964559,0.00010379993,0.9792012,0.0011246084,0.00021660369,0.00017953414,0.000024900528,0.000019956111,0.00016481595],"genre_scores_gemma":[0.6970979,0.00012676738,0.30175772,0.000043790697,0.00064732914,0.000104772385,0.000077781755,0.000014631687,0.00012932814],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99852127,0.0000684803,0.000759102,0.00020327755,0.00035541304,0.00009247477],"domain_scores_gemma":[0.9976228,0.0014228546,0.00032597742,0.00009755711,0.00047235913,0.00005849342],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011497797,0.000103352155,0.00023911108,0.00090089376,0.00007095848,0.00016788341,0.00012928771,0.000078947225,0.000044907127],"category_scores_gemma":[0.00040331023,0.000090793255,0.000249191,0.0006815913,0.000021127697,0.00033161862,0.000025499767,0.00016146792,0.0000014720596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008000133,0.00044073988,0.00069615094,0.00006358908,0.0014091021,0.000002325595,0.00044771645,0.0008229438,0.13599388,0.6482271,0.00018359078,0.21163288],"study_design_scores_gemma":[0.0005429036,0.000050722418,0.004037222,0.00011582157,0.0011322775,0.000034067543,0.00015540782,0.54098237,0.0021114193,0.43629295,0.014339894,0.00020495236],"about_ca_topic_score_codex":0.00003384029,"about_ca_topic_score_gemma":0.000017157527,"teacher_disagreement_score":0.6781333,"about_ca_system_score_codex":0.0001559743,"about_ca_system_score_gemma":0.000060417722,"threshold_uncertainty_score":0.37024415},"labels":[],"label_agreement":null},{"id":"W4403733156","doi":"10.1016/j.amc.2024.129122","title":"Convergence analysis of collocation solutions for delay Volterra integral equations with weakly singular kernels","year":2024,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Volterra integral equation; Mathematics; Collocation (remote sensing); Convergence (economics); Collocation method; Integral equation; Mathematical analysis; Applied mathematics; Volterra equations; Differential equation; Nonlinear system; Computer science; Physics; Ordinary differential equation","score_opus":0.07620424559228765,"score_gpt":0.35614059173025986,"score_spread":0.2799363461379722,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403733156","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.045417655,0.00005686662,0.9534412,0.000082359125,0.000059006714,0.00049515563,0.00002719239,0.000070795024,0.0003497697],"genre_scores_gemma":[0.61717016,0.0000051413294,0.38260245,0.0000071335508,0.0000120966415,0.0001036016,0.000055419478,0.0000138774985,0.00003013094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989888,0.000017765191,0.00043134036,0.0002161674,0.00019206628,0.00015386683],"domain_scores_gemma":[0.9980839,0.0013869585,0.00016841521,0.00013845901,0.00017555217,0.000046698406],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045985996,0.00013634877,0.00033046777,0.0002849121,0.00013963037,0.00008107669,0.00006565059,0.000055925626,0.000020947315],"category_scores_gemma":[0.00011257995,0.00010953509,0.00009603047,0.0008779473,0.00007586784,0.00007145695,0.00002611318,0.00006020566,0.0000018388473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011365087,0.00014568443,0.0000023476182,0.0003380835,0.0005311254,1.964064e-7,0.0015101467,0.0023547863,0.002245152,0.9685667,0.00004832876,0.02424606],"study_design_scores_gemma":[0.000110046785,0.000061884995,0.000030838255,0.000056348636,0.0012344463,8.429258e-7,0.00034602836,0.6805698,0.00032381684,0.31714198,0.000027527445,0.00009638672],"about_ca_topic_score_codex":0.000011704527,"about_ca_topic_score_gemma":0.000016029553,"teacher_disagreement_score":0.6782151,"about_ca_system_score_codex":0.000030196534,"about_ca_system_score_gemma":0.00004840993,"threshold_uncertainty_score":0.44667113},"labels":[],"label_agreement":null},{"id":"W4403923620","doi":"10.18280/mmep.111009","title":"Numerical Treatment of the Coupled Fredholm Integro-Differential Equations by Compact Finite Difference Method","year":2024,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Fredholm integral equation; Mathematics; Mathematical analysis; Finite difference; Integro-differential equation; Finite difference method; Differential equation; Numerical analysis; Integral equation; Applied mathematics; First-order partial differential equation","score_opus":0.07628142527038141,"score_gpt":0.3217425689603908,"score_spread":0.24546114369000938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403923620","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015060439,0.0004682005,0.98345155,0.00020160346,0.00017303179,0.00033348645,0.000023984168,0.00017860196,0.00010913654],"genre_scores_gemma":[0.8829712,0.00004469901,0.11632294,0.0000041123144,0.000043518095,0.00005759198,0.0000070365427,0.000048875834,0.00049996556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99848735,0.000089233865,0.00055478717,0.0003025538,0.00027949104,0.00028659098],"domain_scores_gemma":[0.9963407,0.0031118137,0.000072223775,0.00031277243,0.000039067047,0.00012344858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024284175,0.00029241588,0.000532983,0.00008138896,0.00008927124,0.000133272,0.00016426547,0.00011194637,0.00008019976],"category_scores_gemma":[0.00025783447,0.00017501182,0.00020461383,0.0002839769,0.00005849561,0.00005104571,0.000033405817,0.00021292495,0.000005641825],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020770178,0.0012042793,0.000009313657,0.0025600814,0.00048960163,0.000002007386,0.0037451582,0.37639442,0.013363299,0.5896897,0.00008684333,0.012434544],"study_design_scores_gemma":[0.00016702019,0.000104522085,0.0000036537556,0.00039328515,0.00014262693,0.0000038204607,0.000012844881,0.85480505,0.0009979275,0.14303938,0.0001636757,0.0001662066],"about_ca_topic_score_codex":0.00005366903,"about_ca_topic_score_gemma":3.2017948e-7,"teacher_disagreement_score":0.8679108,"about_ca_system_score_codex":0.000050479804,"about_ca_system_score_gemma":0.000022966204,"threshold_uncertainty_score":0.7136775},"labels":[],"label_agreement":null},{"id":"W4403975745","doi":"10.1137/23m1556502","title":"Almost-Sure Stability of the Single Mode Solution of a Noisy Nonlinear Autoparametric System","year":2024,"lang":"en","type":"article","venue":"SIAM Journal on Mathematical Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Stability (learning theory); Nonlinear system; Mathematical analysis; Mode (computer interface); Applied mathematics; Control theory (sociology); Physics; Control (management)","score_opus":0.07625948611953771,"score_gpt":0.3620673177014944,"score_spread":0.2858078315819567,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403975745","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34994468,0.00012450959,0.64814925,0.00030498873,0.00012292582,0.00016844831,0.00003725121,0.000041085434,0.0011068785],"genre_scores_gemma":[0.9024086,0.0000052383525,0.09738465,0.0000065302693,0.000061180486,0.000005224769,0.0000016382518,0.00001833869,0.00010860078],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99688363,0.0005521106,0.0012361186,0.0002192187,0.0008850332,0.00022390838],"domain_scores_gemma":[0.99658567,0.0020208233,0.00047785902,0.0005220313,0.00027550524,0.00011809327],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018042403,0.0001920013,0.0008683825,0.00046985174,0.000105186875,0.00007272724,0.0003316259,0.00011339569,0.00037211194],"category_scores_gemma":[0.0021578737,0.0001059609,0.0011674118,0.0031798552,0.00013185538,0.00008573234,0.000074615455,0.0003942943,0.000013740654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00027604378,0.009489354,0.0007470448,0.011603097,0.01222306,0.000038028713,0.0035532773,0.0037411745,0.03631923,0.8695219,0.00034800707,0.052139785],"study_design_scores_gemma":[0.00021066496,0.000300964,0.00023107792,0.0007224481,0.0049992916,0.000034177057,0.00038173277,0.6851325,0.012320694,0.29539764,0.00006125641,0.00020756047],"about_ca_topic_score_codex":0.0000074843524,"about_ca_topic_score_gemma":0.0000031800146,"teacher_disagreement_score":0.6813913,"about_ca_system_score_codex":0.00015238371,"about_ca_system_score_gemma":0.000068411675,"threshold_uncertainty_score":0.432096},"labels":[],"label_agreement":null},{"id":"W4404091952","doi":"10.2139/ssrn.5012433","title":"A Computational Method for Solving Nonlinear Systems of Space-Time Fractional Partial Differential Equations","year":2024,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Nonlinear system; Partial differential equation; Applied mathematics; Space (punctuation); Mathematics; Fractional calculus; Mathematical analysis; Computer science; Physics","score_opus":0.04549088360446883,"score_gpt":0.38147365854659304,"score_spread":0.3359827749421242,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404091952","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0049228403,0.001060611,0.9903471,0.0004826978,0.0019334378,0.00076186995,0.0002989673,0.00008142617,0.00011103642],"genre_scores_gemma":[0.3882102,0.00023280893,0.6023607,0.000016831826,0.0045358012,0.00032492852,0.0004081215,0.00023739968,0.0036731542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99566656,0.0004239,0.0012688561,0.00048889633,0.0007783381,0.0013734573],"domain_scores_gemma":[0.99477696,0.0031953135,0.0010205944,0.00028496282,0.00058804295,0.00013411698],"candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0030589374,0.00042300674,0.000930502,0.00041140025,0.0002643516,0.0002503334,0.0003917941,0.00037815652,0.00014995575],"category_scores_gemma":[0.0012561482,0.00037691247,0.0008039975,0.00021024022,0.00006434809,0.00007846134,0.00032744405,0.003330126,0.000021003894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013538629,0.0004088869,0.0000030759745,0.00051581394,0.0017940647,0.000001066368,0.0001623243,0.024830388,0.00069834647,0.9644133,0.00031490612,0.0067224377],"study_design_scores_gemma":[0.00034157527,0.00013341598,0.0000020571695,0.00018290644,0.00052321685,0.000035656216,0.00010204334,0.46729067,0.000051710154,0.5310115,0.00013200386,0.0001932273],"about_ca_topic_score_codex":0.000080472106,"about_ca_topic_score_gemma":0.000023617988,"teacher_disagreement_score":0.44246027,"about_ca_system_score_codex":0.00079533266,"about_ca_system_score_gemma":0.0038505662,"threshold_uncertainty_score":0.9998683},"labels":[],"label_agreement":null},{"id":"W4404241051","doi":"10.1137/23m1594558","title":"Existence and Stability of a Boundary Layer with an Interior Spike in the Singularly Perturbed Shadow Gierer–Meinhardt System","year":2024,"lang":"en","type":"article","venue":"SIAM Journal on Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Simons Foundation","keywords":"Spike (software development); Stability (learning theory); Shadow (psychology); Boundary (topology); Boundary layer; Singular perturbation; Mathematics; Mathematical analysis; Layer (electronics); Physics; Mechanics; Computer science; Materials science","score_opus":0.0738188650421831,"score_gpt":0.34073799371798535,"score_spread":0.26691912867580225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404241051","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8329892,0.00016758931,0.1601276,0.00020060799,0.00013043401,0.0006090779,0.000012764225,0.000068849244,0.0056938506],"genre_scores_gemma":[0.77283,0.000010863482,0.22697723,0.000040221974,0.000061971965,0.000029138111,9.0635325e-7,0.000034111163,0.00001557381],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998056,0.00017822412,0.00072678516,0.0002470636,0.0005487296,0.00024320566],"domain_scores_gemma":[0.9980266,0.001085599,0.0002624937,0.00043630463,0.00008174919,0.00010721739],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021806601,0.00024543065,0.0005260566,0.00015225216,0.00012458625,0.00040793352,0.00031168884,0.00008617046,0.00005180308],"category_scores_gemma":[0.00020338086,0.00013406192,0.00008914403,0.0003220664,0.00017073308,0.00013979411,0.00004722773,0.0005412481,0.000004645517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021248344,0.00077867747,0.000021677488,0.0038256168,0.00011807958,0.00008827571,0.017332703,0.0000016799272,0.0061735986,0.9525894,0.000035207453,0.018822584],"study_design_scores_gemma":[0.0014225676,0.0020447588,0.00019635112,0.004746728,0.0004271828,0.0010948163,0.035442613,0.022995934,0.0052007097,0.92522705,0.0005450168,0.0006562894],"about_ca_topic_score_codex":0.0000027921128,"about_ca_topic_score_gemma":0.000009418404,"teacher_disagreement_score":0.06684963,"about_ca_system_score_codex":0.00009592795,"about_ca_system_score_gemma":0.00009414095,"threshold_uncertainty_score":0.5466887},"labels":[],"label_agreement":null},{"id":"W4404461646","doi":"10.28924/2291-8639-22-2024-212","title":"Numerical Identification of Boundary Condition for Reaction-Advection-Diffusion Partial Differential Equation","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Northern Border University","keywords":"Mathematics; Identification (biology); Advection; Partial differential equation; Diffusion; Mathematical analysis; Boundary (topology); Reaction–diffusion system; Boundary value problem; Thermodynamics; Physics","score_opus":0.03881538719771102,"score_gpt":0.39689960943842467,"score_spread":0.3580842222407137,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404461646","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08045728,0.00011602631,0.9181551,0.000519929,0.0004159609,0.00019140489,0.000068131325,0.00002007182,0.0000561298],"genre_scores_gemma":[0.9914919,0.0001384456,0.0074520675,0.000010347924,0.0005899089,0.000077887584,0.000119432785,0.000012741322,0.00010725367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982325,0.00007448065,0.0009865445,0.00019081756,0.00042888403,0.00008677372],"domain_scores_gemma":[0.99776626,0.00067869946,0.0006441461,0.00012765455,0.00071824464,0.00006500739],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005271052,0.000108882305,0.00029600252,0.0006342489,0.00010800596,0.00015218166,0.00016215742,0.00006950331,0.00008858173],"category_scores_gemma":[0.00023009618,0.000092798575,0.0003919112,0.00055452314,0.00006544183,0.0002657788,0.000020498264,0.00011628166,0.0000023059915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002743889,0.0012484224,0.0006846792,0.00019505185,0.005550931,0.0000022404465,0.0005369063,0.0006708614,0.18088958,0.50600094,0.0005590686,0.30338696],"study_design_scores_gemma":[0.0015752665,0.0004352707,0.017994374,0.0002079783,0.008518959,0.00006598302,0.00042543135,0.34909397,0.039118852,0.55022794,0.03179,0.0005459311],"about_ca_topic_score_codex":0.000019265408,"about_ca_topic_score_gemma":0.00000317583,"teacher_disagreement_score":0.91103464,"about_ca_system_score_codex":0.000066564295,"about_ca_system_score_gemma":0.000056049044,"threshold_uncertainty_score":0.3784216},"labels":[],"label_agreement":null},{"id":"W4405194071","doi":"10.28924/2291-8639-22-2024-230","title":"Boundary Layers of Time-Dependent Convection-Diffusion Equations in a Square","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Northern Border University","keywords":"Mathematics; Square (algebra); Boundary (topology); Gravitational singularity; Mathematical analysis; Limit (mathematics); Diffusion; Class (philosophy); Convection–diffusion equation; Convection; Boundary value problem; Expression (computer science); Geometry; Mechanics; Physics; Thermodynamics","score_opus":0.023869275857082067,"score_gpt":0.3689891532724187,"score_spread":0.3451198774153367,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405194071","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.090727165,0.0003526029,0.9072347,0.00081341405,0.000105826264,0.00010413889,0.000036572543,0.000011942391,0.0006135878],"genre_scores_gemma":[0.9906363,0.00022007612,0.008647093,0.000019418261,0.000120670076,0.000019467216,0.000014026639,0.000008257501,0.00031471654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987385,0.000070470596,0.00063785876,0.00012240882,0.00036372914,0.000066979126],"domain_scores_gemma":[0.99855167,0.0007006208,0.0002595472,0.00010183798,0.0003352552,0.00005108901],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00052201265,0.000077937366,0.0002534487,0.0008783532,0.000039785442,0.00008690088,0.00016691316,0.000042520318,0.00031498008],"category_scores_gemma":[0.00015596973,0.00006428021,0.00021947126,0.0007641609,0.000051903997,0.0001353714,0.00003719046,0.00013281748,0.000005781207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015698968,0.0024797923,0.011547098,0.00020544295,0.008469234,0.000035913108,0.0024027484,0.003152674,0.047030002,0.48285344,0.0006861479,0.44098052],"study_design_scores_gemma":[0.0017399825,0.00033290999,0.018432701,0.0005732126,0.004574326,0.00008650449,0.0015060446,0.1998194,0.004064288,0.7506789,0.017591564,0.00060017867],"about_ca_topic_score_codex":0.00005814867,"about_ca_topic_score_gemma":0.00004241815,"teacher_disagreement_score":0.89990914,"about_ca_system_score_codex":0.000059023,"about_ca_system_score_gemma":0.00006433241,"threshold_uncertainty_score":0.3448811},"labels":[],"label_agreement":null},{"id":"W4405426762","doi":"10.5206/mase/20176","title":"Compact scheme with two-sided estimates for nonlinear convection-diffusion-reaction equations","year":2024,"lang":"en","type":"article","venue":"Mathematics in Applied Sciences and Engineering","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Scheme (mathematics); Nonlinear system; Diffusion; Convection; Chemical equation; Reaction–diffusion system; Mathematics; Applied mathematics; Mathematical analysis; Convection–diffusion equation; Mechanics; Physics; Thermodynamics; Chemistry; Physical chemistry; Quantum mechanics","score_opus":0.06987947245969171,"score_gpt":0.35831492364085377,"score_spread":0.28843545118116204,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405426762","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0972916,0.000055641685,0.9003705,0.00010874917,0.00012473679,0.00035413643,0.000005316548,0.00015350145,0.0015358079],"genre_scores_gemma":[0.42255428,0.0000033508165,0.5772949,0.0000043695372,0.000038020426,0.000057114557,0.0000030009207,0.00001593008,0.00002905701],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9991587,0.0000047802773,0.00025402431,0.00021373725,0.00016999448,0.00019876972],"domain_scores_gemma":[0.9976674,0.0021215037,0.000042997828,0.00009754914,0.000019279609,0.000051314026],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005760949,0.00014052652,0.00021581168,0.00018962365,0.00013132577,0.00017310744,0.00008040948,0.000037216094,0.000013084799],"category_scores_gemma":[0.00031204298,0.000103039274,0.000030450485,0.00045447113,0.00006893575,0.00008979513,0.000019268042,0.00010765288,0.0000025903726],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000551346,0.00010204663,0.000016270873,0.000563637,0.000027880067,7.9803436e-7,0.0007272986,0.002882826,0.02808291,0.9648216,0.000020180469,0.002749077],"study_design_scores_gemma":[0.00019806135,0.000042688265,0.000018045715,0.0002347945,0.000026318408,0.000005220287,0.00025441337,0.88807523,0.0011980191,0.10969269,0.00011755373,0.00013698149],"about_ca_topic_score_codex":0.000009195955,"about_ca_topic_score_gemma":0.000007944224,"teacher_disagreement_score":0.8851924,"about_ca_system_score_codex":0.000031755833,"about_ca_system_score_gemma":0.00002427483,"threshold_uncertainty_score":0.42018196},"labels":[],"label_agreement":null},{"id":"W4405945852","doi":"10.18280/mmep.111218","title":"Applying Radial Basis Functions and Partition of Unity for Solving Heating Equations Optimal Control Issues","year":2024,"lang":"en","type":"article","venue":"Mathematical Modelling and Engineering Problems","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Partition of unity; Partition (number theory); Basis (linear algebra); Mathematics; Radial basis function; Optimal control; Applied mathematics; Mathematical analysis; Mathematical optimization; Computer science; Physics; Geometry; Thermodynamics; Finite element method; Artificial intelligence; Combinatorics","score_opus":0.07957684924483178,"score_gpt":0.3115940216573153,"score_spread":0.23201717241248354,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405945852","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.026973426,0.00045822983,0.9716274,0.00012358087,0.00007789318,0.0005071865,0.000019986554,0.00015694117,0.000055344],"genre_scores_gemma":[0.6524736,0.000023049179,0.34701717,0.0000025080537,0.00006180048,0.0003316651,0.000004487081,0.000025470172,0.000060204635],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99908274,0.000021819751,0.00039233477,0.0001906778,0.00011618037,0.00019624393],"domain_scores_gemma":[0.9975782,0.0021488327,0.00004224663,0.00010034599,0.000051471518,0.000078920944],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00064455345,0.0001428737,0.00029840445,0.000106090796,0.00012895605,0.00010534856,0.00003746946,0.000071676615,0.000013208536],"category_scores_gemma":[0.0004788653,0.00012590647,0.000070053095,0.00013129086,0.00003582433,0.000115576884,0.000019448751,0.00012835336,9.918755e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009424025,0.00008300887,0.000003247634,0.0038438735,0.00011278798,2.9602003e-7,0.0010939019,0.5060216,0.002229243,0.47594666,0.00001513485,0.010640788],"study_design_scores_gemma":[0.00015886495,0.000054859403,5.7943237e-7,0.00049524434,0.00012395895,0.0000024126523,0.00006843409,0.820253,0.00018967091,0.1784487,0.00009492543,0.000109316716],"about_ca_topic_score_codex":0.000011435934,"about_ca_topic_score_gemma":3.6823994e-7,"teacher_disagreement_score":0.6255002,"about_ca_system_score_codex":0.000014774785,"about_ca_system_score_gemma":0.000010476689,"threshold_uncertainty_score":0.5134317},"labels":[],"label_agreement":null},{"id":"W4406397833","doi":"10.1016/0967-0653(96)82795-5","title":"10.1016/0967-0653(96)82795-5","year":2000,"lang":"en","type":"article","venue":"Time to knit","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Type (biology); Mathematics; Applied mathematics; Geology","score_opus":0.02860459484462129,"score_gpt":0.2635630634339494,"score_spread":0.23495846858932812,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406397833","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00036266205,0.000014778365,0.00068375416,0.00022045,0.0000027677613,0.00018679042,0.00001178871,0.00015794876,0.9983591],"genre_scores_gemma":[0.000051991254,1.3954411e-7,0.022248643,0.00003047505,0.00011888429,0.000027613416,0.000007561993,0.000030865252,0.9774838],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99900234,0.00010619276,0.00024279399,0.00020228581,0.00019826704,0.00024813612],"domain_scores_gemma":[0.9991214,0.00029465146,0.000038145237,0.00034763393,0.00004146404,0.00015669408],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00023511422,0.00014221444,0.00023570232,0.000059041984,0.00007802258,0.000047061643,0.00019833203,0.000065358196,0.9984447],"category_scores_gemma":[0.00025950652,0.00012377123,0.00008924417,0.00024333512,0.000026491967,0.00006472,0.000037930917,0.000101793325,0.991526],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031471045,0.00012334091,1.5579486e-8,0.00000944054,0.00001716243,0.0000014274373,0.00002050092,0.000004601934,0.000028569999,0.00013604568,0.10241653,0.8972109],"study_design_scores_gemma":[0.00016447106,0.000119842276,0.000004734609,0.000016947,0.000034088804,0.0000023071511,0.0000010516254,0.00044160636,0.00016446601,0.00524547,0.99363434,0.00017070133],"about_ca_topic_score_codex":0.000011176684,"about_ca_topic_score_gemma":1.0434853e-7,"teacher_disagreement_score":0.8970402,"about_ca_system_score_codex":0.000024057603,"about_ca_system_score_gemma":0.000014576559,"threshold_uncertainty_score":0.50472444},"labels":[],"label_agreement":null},{"id":"W4406420632","doi":"10.1016/0967-0653(95)91306-8","title":"10.1016/0967-0653(95)91306-8","year":2000,"lang":"en","type":"article","venue":"Time to knit","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Fourier transform; Resolution (logic); Geology; Mathematics; Computer science; Mathematical analysis; Artificial intelligence","score_opus":0.028754241521561336,"score_gpt":0.26418788919932296,"score_spread":0.23543364767776162,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406420632","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00033662855,0.000022955499,0.0005730417,0.0001821297,0.0000027705098,0.00018762957,0.000012241373,0.00015985864,0.99852276],"genre_scores_gemma":[0.000045288314,2.1711428e-7,0.021733545,0.000028279144,0.000117571,0.000027721142,0.000007913168,0.00003081696,0.9780086],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99900615,0.000105468265,0.00024303033,0.00020130754,0.00019725737,0.00024677045],"domain_scores_gemma":[0.9991304,0.00028921067,0.00003821378,0.00034458024,0.000041752824,0.00015580161],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00023362003,0.00014177602,0.00023395571,0.0000461923,0.00007730374,0.000046601686,0.00019738864,0.00006504933,0.99835587],"category_scores_gemma":[0.00025848206,0.0001234027,0.00008899534,0.00024549957,0.0000263384,0.000064226624,0.000037691254,0.000101219244,0.99129206],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030019923,0.00012037455,1.376692e-8,0.000009250223,0.00001712722,0.0000014125316,0.000018100125,0.0000045353227,0.00002731582,0.00013597726,0.12669116,0.8729447],"study_design_scores_gemma":[0.00016264123,0.0001181614,0.0000051465254,0.000017032306,0.000034062832,0.0000023311773,0.0000010122995,0.00052199495,0.000121544545,0.005182909,0.993663,0.00017016148],"about_ca_topic_score_codex":0.000014867787,"about_ca_topic_score_gemma":1.3929017e-7,"teacher_disagreement_score":0.87277454,"about_ca_system_score_codex":0.000023863271,"about_ca_system_score_gemma":0.000014393818,"threshold_uncertainty_score":0.50322163},"labels":[],"label_agreement":null},{"id":"W4406433398","doi":"10.1016/s0967-0653(00)80042-3","title":"10.1016/s0967-0653(00)80042-3","year":2000,"lang":"en","type":"article","venue":"Time to knit","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Environmental science; Geology","score_opus":0.02916541319974391,"score_gpt":0.26821929258391963,"score_spread":0.23905387938417572,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406433398","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00017691328,0.000016450587,0.00062363857,0.00021896827,0.0000026546716,0.00018814186,0.000011057859,0.00016109578,0.9986011],"genre_scores_gemma":[0.0000259681,1.7400197e-7,0.022672046,0.000026004032,0.000121622514,0.0000282648,0.0000061470437,0.00003127659,0.9770885],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99899113,0.00010582134,0.00024580295,0.00020401366,0.00020315306,0.00025006992],"domain_scores_gemma":[0.99912536,0.0002869222,0.00003864872,0.00034772206,0.00004310365,0.0001582194],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00023686422,0.00014474991,0.00023778115,0.00005995327,0.000079668476,0.00004747249,0.00020056182,0.00006644979,0.9992244],"category_scores_gemma":[0.0002590388,0.00012576886,0.000091896545,0.00024753163,0.000026815704,0.00006588233,0.000038711343,0.00010390252,0.9970014],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034310833,0.00012353566,5.8038396e-9,0.00000964682,0.000017657689,0.00000142946,0.00002057815,0.0000044045537,0.000016637505,0.00012313401,0.09301743,0.90663123],"study_design_scores_gemma":[0.00018366842,0.00012125765,0.0000023726668,0.000017298109,0.000030142168,0.0000023849784,0.0000011155998,0.00040291986,0.00014754273,0.0053208945,0.99359757,0.00017284133],"about_ca_topic_score_codex":0.000010813286,"about_ca_topic_score_gemma":9.667185e-8,"teacher_disagreement_score":0.9064584,"about_ca_system_score_codex":0.000025782387,"about_ca_system_score_gemma":0.00001540157,"threshold_uncertainty_score":0.5128705},"labels":[],"label_agreement":null},{"id":"W4406446380","doi":"10.1016/s0967-0653(97)89112-0","title":"10.1016/s0967-0653(97)89112-0","year":2000,"lang":"en","type":"article","venue":"Time to knit","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Nested set model; Boundary (topology); Geology; Environmental science; Mathematics; Computer science; Mathematical analysis; Data mining","score_opus":0.034179869464988716,"score_gpt":0.2695275272399233,"score_spread":0.23534765777493458,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406446380","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00010477961,0.000016644337,0.00067559053,0.00019994687,0.0000024488247,0.00018940504,0.000010027157,0.0001560029,0.9986451],"genre_scores_gemma":[0.000014140633,1.6593313e-7,0.023974352,0.000028087956,0.000118878335,0.000028408016,0.0000062970726,0.000030821633,0.97579885],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99898887,0.0001128563,0.00024516825,0.00020361671,0.00020017184,0.00024933062],"domain_scores_gemma":[0.9990966,0.00031701356,0.000038793612,0.0003474323,0.00004263773,0.00015757879],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00025243565,0.00014449214,0.00023727345,0.000059895006,0.000078500336,0.000047707068,0.00019963484,0.00006570223,0.9991978],"category_scores_gemma":[0.00028237258,0.0001255577,0.000090637106,0.00024228485,0.000028852563,0.000065409935,0.00003877796,0.00010369776,0.9988683],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003493505,0.00012076895,5.505737e-9,0.000009332074,0.000017212795,0.0000013672297,0.000020229976,0.0000040765412,0.000009837123,0.000106404405,0.03139052,0.9682853],"study_design_scores_gemma":[0.00018488876,0.00012145116,0.0000012503476,0.000017608458,0.000034527187,0.000002162173,0.0000010305718,0.00040176706,0.00014182934,0.005310457,0.9936106,0.0001724093],"about_ca_topic_score_codex":0.0000111622785,"about_ca_topic_score_gemma":1.1611041e-7,"teacher_disagreement_score":0.9681129,"about_ca_system_score_codex":0.000024383216,"about_ca_system_score_gemma":0.000014559067,"threshold_uncertainty_score":0.5120094},"labels":[],"label_agreement":null},{"id":"W4406490776","doi":"10.1016/0967-0653(93)91614-i","title":"10.1016/0967-0653(93)91614-i","year":2000,"lang":"en","type":"article","venue":"Time to knit","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Paraxial approximation; Stability (learning theory); Domain (mathematical analysis); Order (exchange); Mathematics; Applied mathematics; Mathematical analysis; Physics; Computer science; Economics; Optics","score_opus":0.02856869412914155,"score_gpt":0.2640696166340392,"score_spread":0.23550092250489768,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406490776","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0003635263,0.000014321112,0.0006873109,0.00020378595,0.0000027967058,0.00018832622,0.000011382627,0.00015951297,0.99836904],"genre_scores_gemma":[0.00005557523,1.3891196e-7,0.022240773,0.000029820761,0.0001181719,0.00002777215,0.000007652306,0.000030899413,0.9774892],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9990013,0.0001063519,0.0002431181,0.00020227057,0.00019859626,0.00024835326],"domain_scores_gemma":[0.9991202,0.00029693835,0.000038181333,0.00034604664,0.00004194696,0.00015672558],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00023610752,0.0001423203,0.00023525627,0.000059098355,0.00007785943,0.000047144553,0.00019854697,0.00006541509,0.998428],"category_scores_gemma":[0.000262227,0.00012380735,0.00008912053,0.0002458027,0.00002656026,0.000064906366,0.000037910075,0.00010169523,0.9917006],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031801468,0.0001247735,1.2839812e-8,0.000009529607,0.000017630819,0.0000014511295,0.000021156447,0.0000048225634,0.000028696706,0.00013910618,0.094669156,0.9049519],"study_design_scores_gemma":[0.00016856228,0.00011962064,0.000005246055,0.000017061488,0.000034207176,0.0000023809719,0.0000010677943,0.0004314831,0.00014394886,0.0054234928,0.99348205,0.00017088772],"about_ca_topic_score_codex":0.000011821347,"about_ca_topic_score_gemma":1.188598e-7,"teacher_disagreement_score":0.904781,"about_ca_system_score_codex":0.000024675213,"about_ca_system_score_gemma":0.000014689298,"threshold_uncertainty_score":0.5048717},"labels":[],"label_agreement":null},{"id":"W4406528883","doi":"10.1016/0967-0653(96)84842-3","title":"10.1016/0967-0653(96)84842-3","year":2000,"lang":"en","type":"article","venue":"Time to knit","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Curvilinear coordinates; Ordinate; Boundary layer; Flow (mathematics); Geometry; Mathematics; Geology; Mathematical analysis; Mechanics; Physics","score_opus":0.028705744381856958,"score_gpt":0.26372272649808076,"score_spread":0.2350169821162238,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406528883","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00053046405,0.000012266446,0.0006574124,0.00022784664,0.0000028845036,0.00018622355,0.00001137104,0.00015939669,0.99821216],"genre_scores_gemma":[0.000056733224,1.4115585e-7,0.02179695,0.000023476294,0.0001255248,0.00002746896,0.000007533727,0.000030856252,0.9779313],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.99900407,0.00010597497,0.00024262957,0.00020182726,0.00019789598,0.00024759336],"domain_scores_gemma":[0.9991267,0.00029164378,0.000038086233,0.0003454798,0.00004183851,0.00015629765],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00023402301,0.00014210655,0.00023472215,0.000058914015,0.000078284145,0.00004703095,0.00019782066,0.0000652083,0.99835485],"category_scores_gemma":[0.00025120925,0.00012359722,0.00008915453,0.00024590257,0.000026564632,0.00006481972,0.000037779108,0.00010147318,0.9912889],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031502525,0.00012370791,2.1030587e-8,0.000009572044,0.000017528224,0.0000014305036,0.000020491474,0.0000045713773,0.000027937394,0.00011243611,0.10378286,0.89586794],"study_design_scores_gemma":[0.00016465534,0.00011889907,0.0000065368067,0.00001693966,0.00003407061,0.0000023551033,0.0000010980621,0.00042684414,0.00016748499,0.004270284,0.99462026,0.00017059337],"about_ca_topic_score_codex":0.000010484818,"about_ca_topic_score_gemma":1.0633295e-7,"teacher_disagreement_score":0.89569736,"about_ca_system_score_codex":0.000024735333,"about_ca_system_score_gemma":0.000014597238,"threshold_uncertainty_score":0.50401485},"labels":[],"label_agreement":null},{"id":"W4406670081","doi":"10.1016/b978-0-08-092867-8.50011-2","title":"10.1016/b978-0-08-092867-8.50011-2","year":2000,"lang":"en","type":"book-chapter","venue":"Time to knit","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Linear differential equation; Order (exchange); Mathematics; Mathematical analysis; Applied mathematics; Differential equation; Economics","score_opus":0.039496846543793804,"score_gpt":0.26338253967077274,"score_spread":0.22388569312697892,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406670081","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[4.2158206e-7,0.00008214756,0.00038614115,0.000106491956,0.000008924051,0.00047461523,0.000109924884,0.0002423378,0.998589],"genre_scores_gemma":[2.4349424e-7,8.147879e-7,0.011840432,0.00003237331,0.00036847274,0.00003456406,0.00006669426,0.00017696425,0.98747945],"study_design_codex":"design_other","study_design_gemma":"not_applicable","domain_scores_codex":[0.9980451,0.000061794664,0.00058348774,0.0004962976,0.00044251635,0.00037082686],"domain_scores_gemma":[0.99814045,0.0004991843,0.00020519008,0.0007839751,0.000104106904,0.00026707572],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00026406196,0.0005120028,0.00079449266,0.00024269994,0.00010262587,0.00007839461,0.0004194057,0.0004090574,0.99861753],"category_scores_gemma":[0.000187603,0.00047755838,0.0003284574,0.000073543466,0.000069370915,0.0000563445,0.00013799519,0.0004167527,0.99266684],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000056076435,0.000063406434,4.7134285e-10,0.00004138181,0.00010604998,0.000008372698,0.00001100986,0.0000011996128,0.000005330609,0.0064864177,0.13950881,0.85371196],"study_design_scores_gemma":[0.00017238315,0.00017687977,1.2865662e-7,0.00015617616,0.000198687,0.0000058262435,2.103985e-7,0.00004613874,0.000013413944,0.09093981,0.9077786,0.0005117303],"about_ca_topic_score_codex":0.000006932904,"about_ca_topic_score_gemma":1.9550467e-7,"teacher_disagreement_score":0.8532002,"about_ca_system_score_codex":0.00007775081,"about_ca_system_score_gemma":0.000053873893,"threshold_uncertainty_score":0.9997676},"labels":[],"label_agreement":null},{"id":"W4406822858","doi":"10.1111/sapm.70016","title":"Chebotarov Continua, Jenkins–Strebel Differentials and Related Problems: A Numerical Approach","year":2025,"lang":"en","type":"article","venue":"Studies in Applied Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Applied mathematics; Mathematics; Mathematical analysis","score_opus":0.09122414971997488,"score_gpt":0.38733546276137765,"score_spread":0.29611131304140276,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406822858","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13086733,0.0024710626,0.60831827,0.0005620371,0.00077227503,0.0041118586,0.000020505944,0.00058770645,0.25228897],"genre_scores_gemma":[0.5194395,0.00032848414,0.47794047,0.000063466796,0.00003413309,0.0006291244,0.0000062829295,0.000051708594,0.0015067963],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976171,0.00009670009,0.0010697619,0.00049367506,0.00028645058,0.00043626913],"domain_scores_gemma":[0.9974653,0.0016209903,0.00028955136,0.00047943118,0.0000753786,0.00006933206],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008293998,0.00039293247,0.0011852074,0.0002293162,0.00016863944,0.00005345579,0.00025255172,0.000181996,0.00003503203],"category_scores_gemma":[0.0011157938,0.00031196573,0.000105795756,0.00069663295,0.00036822254,0.000039650087,0.00041975657,0.00035314614,0.000008575906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001753484,0.0013658978,0.000085413085,0.0027450344,0.0006086027,0.0000025825802,0.00846226,0.000009828383,0.00078082667,0.96446437,0.00081701064,0.020640666],"study_design_scores_gemma":[0.0013506867,0.000039689592,0.00014640864,0.0003918633,0.00025535622,0.000005390593,0.0056390627,0.004838438,0.00036848563,0.986297,0.00032680776,0.00034082128],"about_ca_topic_score_codex":0.000004449996,"about_ca_topic_score_gemma":0.0000036664153,"teacher_disagreement_score":0.3885722,"about_ca_system_score_codex":0.00008749511,"about_ca_system_score_gemma":0.000027180875,"threshold_uncertainty_score":0.99993324},"labels":[],"label_agreement":null},{"id":"W4406850131","doi":"10.5539/jmr.v16n6p1","title":"Local Entropy Solution of a Convection-Diffusion Type Integro-Differential Equation","year":2025,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Entropy (arrow of time); Type (biology); Differential equation; Mathematical analysis; Thermodynamics","score_opus":0.2115607987873297,"score_gpt":0.4797828599740128,"score_spread":0.2682220611866831,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4406850131","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23701365,0.000067538516,0.760936,0.0002842539,0.00043089836,0.00019531028,0.0000015361836,0.0000097516795,0.0010610047],"genre_scores_gemma":[0.90907586,0.00009995913,0.0897758,0.0000062004956,0.00009546663,0.000005443447,0.0000018474379,0.000017258595,0.0009221542],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99678427,0.0005760343,0.0011281277,0.00012779588,0.0011143743,0.0002693763],"domain_scores_gemma":[0.99459577,0.002556511,0.0005578957,0.0002786478,0.0019190024,0.000092179165],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034003034,0.00013208439,0.0005092161,0.0007935373,0.00013702226,0.000053505242,0.00033502327,0.00014951329,0.0004060101],"category_scores_gemma":[0.005166657,0.000098760225,0.00019609956,0.00085595105,0.00021227471,0.00012612974,0.00014221216,0.00060967106,0.000012698339],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00051333685,0.003487131,0.00011000297,0.001473366,0.00036993265,0.0000071660597,0.001640559,0.000035159126,0.2117711,0.72940975,0.005018788,0.046163738],"study_design_scores_gemma":[0.0012386254,0.00080093654,0.00019782785,0.0009099506,0.00014962585,0.00001918017,0.0017307415,0.07775605,0.054025248,0.8625208,0.0005217788,0.00012923549],"about_ca_topic_score_codex":0.000026013651,"about_ca_topic_score_gemma":0.000005395608,"teacher_disagreement_score":0.6720622,"about_ca_system_score_codex":0.00019925936,"about_ca_system_score_gemma":0.00026999263,"threshold_uncertainty_score":0.6185344},"labels":[],"label_agreement":null},{"id":"W4408126745","doi":"10.1080/00036811.2025.2473492","title":"Singular <i>p(x)</i> -Laplacian equation with application to boundary layer theory","year":2025,"lang":"en","type":"article","venue":"Applicable Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Athabasca University","funders":"","keywords":"Mathematics; Mathematical analysis; p-Laplacian; Boundary layer; Laplace operator; Singular solution; Boundary value problem; Physics","score_opus":0.024278564779737444,"score_gpt":0.3389416154564775,"score_spread":0.31466305067674005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408126745","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019324621,0.000038043858,0.96691036,0.0005053294,0.00001651182,0.00045048908,0.0000050473877,0.00011722086,0.012632378],"genre_scores_gemma":[0.7906997,0.0000049124574,0.20405628,0.0009661184,0.000046499594,0.00054249255,0.000060618877,0.000024880448,0.0035984837],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985656,0.00014682657,0.00033800353,0.00043122692,0.00027427627,0.00024408],"domain_scores_gemma":[0.998446,0.00049686513,0.00011921561,0.000697957,0.0001442231,0.00009573438],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007471587,0.00017715585,0.00042105542,0.0004199671,0.00023339852,0.000108973094,0.00022722615,0.00008187176,0.00015663575],"category_scores_gemma":[0.00014249636,0.00014461203,0.00016097432,0.0037182348,0.00004777357,0.00007976232,0.00006338563,0.00010693855,0.00006423839],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001437915,0.00036251976,0.0015634414,0.00005565936,0.0017423239,9.875687e-7,0.00018013507,0.0011302627,0.0054746238,0.81051546,0.0010625364,0.17776826],"study_design_scores_gemma":[0.00041647823,0.000082338425,0.001113461,0.000024415003,0.00462173,4.3612008e-7,0.000213203,0.023187283,0.007862108,0.9068552,0.055210654,0.00041265608],"about_ca_topic_score_codex":0.00010726181,"about_ca_topic_score_gemma":0.00008414456,"teacher_disagreement_score":0.77137506,"about_ca_system_score_codex":0.00007122549,"about_ca_system_score_gemma":0.000045298573,"threshold_uncertainty_score":0.5897107},"labels":[],"label_agreement":null},{"id":"W4408728824","doi":"10.2139/ssrn.5189456","title":"High-Order Mass Conservative Compact Characteristic Finite Volume Methods for Advection-Dominated Diffusion Equations","year":2025,"lang":"en","type":"preprint","venue":"SSRN Electronic Journal","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Advection; Finite volume method; Order (exchange); Diffusion; Volume (thermodynamics); Mathematics; Physics; Mechanics; Thermodynamics; Economics","score_opus":0.049509291379601805,"score_gpt":0.40121182518397436,"score_spread":0.35170253380437255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408728824","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0041923393,0.00040844965,0.98967564,0.0018681514,0.002044319,0.0012274327,0.00021845238,0.00011806086,0.00024717074],"genre_scores_gemma":[0.10904775,0.0019993077,0.8572896,0.00022517143,0.00094574835,0.0004574484,0.0006241692,0.00017083103,0.029239988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99427927,0.0016697124,0.0012543602,0.0005914607,0.00032662207,0.0018785815],"domain_scores_gemma":[0.99034864,0.0064890236,0.0013263203,0.0005482163,0.001125191,0.0001626248],"candidate_categories":["metaresearch","metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.0047589685,0.0005989465,0.0012176279,0.00050481514,0.0006627956,0.00022444187,0.00058573135,0.0004929153,0.00022904367],"category_scores_gemma":[0.009180624,0.0005378959,0.00056924485,0.00054872036,0.000104927654,0.00013532811,0.00019311285,0.0041111372,0.000010695853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005368612,0.00095537904,0.00010470548,0.00053635956,0.002733194,0.0000019251343,0.0005603547,0.0008459944,0.0030143845,0.8300522,0.0004455878,0.16021307],"study_design_scores_gemma":[0.0011614229,0.00032452875,0.00019596885,0.00029404627,0.0008203263,0.000009141231,0.00029723396,0.08839735,0.00021300586,0.9061965,0.0015984769,0.0004920127],"about_ca_topic_score_codex":0.00020036523,"about_ca_topic_score_gemma":0.000102764025,"teacher_disagreement_score":0.15972106,"about_ca_system_score_codex":0.0015914716,"about_ca_system_score_gemma":0.0036344863,"threshold_uncertainty_score":0.9997073},"labels":[],"label_agreement":null},{"id":"W4408782362","doi":"10.1016/j.jmaa.2025.129507","title":"On asymptotics of oscillatory solutions to nth-order delay differential equations","year":2025,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada; Georgia Institute of Technology","keywords":"Mathematics; Order (exchange); Mathematical analysis; Differential equation; Delay differential equation; Applied mathematics","score_opus":0.03727258554940953,"score_gpt":0.3561150488205593,"score_spread":0.31884246327114973,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408782362","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.029740985,0.000045092445,0.9675855,0.0007571025,0.000030291556,0.00022708044,0.000019405064,0.000011206256,0.00158334],"genre_scores_gemma":[0.8671789,0.000023515413,0.13212793,0.00009346592,0.000053404237,0.00004648501,0.0000030377603,0.000010684857,0.00046257558],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981784,0.00011081095,0.001028524,0.00016223133,0.0003513258,0.00016868579],"domain_scores_gemma":[0.9961504,0.0024315934,0.00042112195,0.00034169856,0.0004944127,0.00016077682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00056265166,0.00014648537,0.000658847,0.0006991131,0.00017951507,0.00004209419,0.00021403933,0.000079076635,0.0002680982],"category_scores_gemma":[0.0013312111,0.00010813244,0.00035168388,0.0017927911,0.000099068304,0.00004836951,0.00007912257,0.00016978287,0.000008018616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013904755,0.000865308,0.000045876248,0.00006574917,0.00085402833,2.1449966e-7,0.00008475488,0.000379408,0.00071571284,0.99022263,0.00030730257,0.006445093],"study_design_scores_gemma":[0.00033531027,0.00013567542,0.00093486137,0.000108160704,0.0037563092,0.000002171124,0.00014159367,0.015892565,0.000438874,0.9774721,0.00062684045,0.00015551584],"about_ca_topic_score_codex":0.0000024165445,"about_ca_topic_score_gemma":0.0000053616027,"teacher_disagreement_score":0.8374379,"about_ca_system_score_codex":0.000035285255,"about_ca_system_score_gemma":0.000060882587,"threshold_uncertainty_score":0.44095126},"labels":[],"label_agreement":null},{"id":"W4408909255","doi":"10.1137/1.9781611978285.ch3","title":"Chapter 3: Finite-difference methods for elliptic partial differential equations","year":2025,"lang":"en","type":"book-chapter","venue":"Society for Industrial and Applied Mathematics eBooks","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Memorial University of Newfoundland; University of Waterloo","funders":"","keywords":"Elliptic partial differential equation; Mathematics; Finite difference; Applied mathematics; Partial differential equation; Mathematical analysis","score_opus":0.19751254094933282,"score_gpt":0.3796285501752176,"score_spread":0.1821160092258848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408909255","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000024169482,0.0000605142,0.91478467,0.0000882254,0.00060840376,0.0037950452,0.0005159706,0.00015284705,0.07997015],"genre_scores_gemma":[0.00036615966,0.00003090382,0.691144,0.000091891765,0.0010265731,0.0013532249,0.00016352197,0.00017007557,0.30565366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99699867,0.000026253698,0.0013044565,0.00077699276,0.0003276864,0.00056595844],"domain_scores_gemma":[0.98866475,0.009521604,0.0008049239,0.00059826684,0.00019868504,0.00021174875],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009010132,0.00083730306,0.0015421777,0.00012083372,0.0005882722,0.0001998002,0.00037683858,0.0012840222,0.00016092892],"category_scores_gemma":[0.00077713,0.0007313703,0.0013544044,0.000036140602,0.00033020845,0.00002546747,0.0002483826,0.0006901334,0.0000040888285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006635384,0.000079769066,1.424253e-8,0.0006964552,0.0005716374,6.521675e-8,0.0004312291,8.6536414e-7,0.00052688044,0.84329414,0.00094114186,0.15339147],"study_design_scores_gemma":[0.001983495,0.000177296,2.7380228e-8,0.00038256327,0.0021066065,6.3078e-7,0.000104174214,0.012657417,0.0014562043,0.92838544,0.05199033,0.0007558231],"about_ca_topic_score_codex":0.0000017532358,"about_ca_topic_score_gemma":0.0000013742505,"teacher_disagreement_score":0.2256835,"about_ca_system_score_codex":0.000071657945,"about_ca_system_score_gemma":0.00015784061,"threshold_uncertainty_score":0.99951375},"labels":[],"label_agreement":null},{"id":"W4409052366","doi":"10.1002/mma.10870","title":"New Results on a Class of Reaction–Convection–Diffusion Equations Through Potential Symmetry Analysis","year":2025,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Indian Institute of Technology Madras","keywords":"Mathematics; Reaction–diffusion system; Class (philosophy); Symmetry (geometry); Convection; Convection–diffusion equation; Diffusion; Mathematical analysis; Mathematical physics; Geometry; Mechanics; Thermodynamics; Physics","score_opus":0.11454280979784641,"score_gpt":0.4605131413033099,"score_spread":0.34597033150546347,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409052366","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0052557243,0.000013634225,0.8979372,0.0016354322,0.00016902517,0.00041624237,0.0000043083232,0.00004353608,0.09452495],"genre_scores_gemma":[0.23425771,0.000004822065,0.76504904,0.00019388384,0.00003602962,0.000056014607,0.000001731993,0.0000064855276,0.00039425516],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99641496,0.001091566,0.001039156,0.00047352066,0.00068470434,0.0002960668],"domain_scores_gemma":[0.98460567,0.014251683,0.00036729997,0.0006630378,0.00006195804,0.00005036994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00735524,0.00020939158,0.0006294729,0.00062895886,0.00032442136,0.00009321645,0.00071329024,0.00013713134,0.00010530149],"category_scores_gemma":[0.005755085,0.00012913118,0.0002640947,0.0057663335,0.0003499993,0.00009303334,0.00012011261,0.0003107084,0.000011236888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057390695,0.00039612633,0.0000031106188,0.00004570246,0.000100931706,3.1545795e-7,0.000817787,0.00015657401,0.0050227875,0.96429706,0.00017743136,0.02892478],"study_design_scores_gemma":[0.00036841782,0.00008296867,0.0001813278,0.000061543295,0.00045805238,7.9637033e-7,0.0014439727,0.02011711,0.005724925,0.971291,0.0001430169,0.00012688679],"about_ca_topic_score_codex":0.000053106174,"about_ca_topic_score_gemma":0.0000092231185,"teacher_disagreement_score":0.22900198,"about_ca_system_score_codex":0.00005073967,"about_ca_system_score_gemma":0.000091091715,"threshold_uncertainty_score":0.688979},"labels":[],"label_agreement":null},{"id":"W4409374102","doi":"10.1016/b978-0-443-23942-7.00003-6","title":"Mathematical methods in stochastic stability of mechanical systems","year":2025,"lang":"en","type":"book-chapter","venue":"Elsevier eBooks","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Lakehead University","funders":"","keywords":"Stability (learning theory); Computer science; Applied mathematics; Mathematics; Machine learning","score_opus":0.0895055579394016,"score_gpt":0.390915944315917,"score_spread":0.3014103863765154,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409374102","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00001400777,0.00019294502,0.3316798,0.000014574591,0.00030643708,0.0009369783,0.000036300396,0.000045084027,0.6667739],"genre_scores_gemma":[0.0007096837,0.0000072949783,0.34504706,0.000019891271,0.0000744603,0.00014174268,0.0000066109787,0.00008155672,0.6539117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99640876,0.00054727384,0.0017240796,0.00053450285,0.00046927293,0.0003160853],"domain_scores_gemma":[0.99363714,0.0045329873,0.00053070334,0.0009901931,0.0001817256,0.0001272734],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0026570302,0.0004742392,0.0018765387,0.00029171398,0.00003799719,0.000028814815,0.00040443387,0.00057668466,0.0005294404],"category_scores_gemma":[0.0017326156,0.00040242044,0.0004184785,0.000051580108,0.00017226492,0.000022948756,0.0002686785,0.0006986557,0.000015333344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018493378,0.00006511674,9.94154e-8,0.0009663698,0.00008175823,0.0000020828663,0.00007335917,9.022511e-7,0.00008282641,0.5672939,0.000011880513,0.43140325],"study_design_scores_gemma":[0.00029277088,0.00008590374,6.190088e-7,0.0020141979,0.00034219775,0.0000037073894,0.000027172204,0.002269115,0.00017767207,0.9805623,0.01386623,0.00035809612],"about_ca_topic_score_codex":0.0000013791405,"about_ca_topic_score_gemma":0.000005985741,"teacher_disagreement_score":0.43104514,"about_ca_system_score_codex":0.00015399592,"about_ca_system_score_gemma":0.0001757608,"threshold_uncertainty_score":0.99984276},"labels":[],"label_agreement":null},{"id":"W4410185981","doi":"10.28924/apjm/12-44","title":"Quarter-Sweep Finite Difference Approximation with Thomas Algorithm for Solving Nonlinear Advection-Diffusion Equation","year":2025,"lang":"en","type":"article","venue":"Asia Pacific Journal of Mathematics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"Universiti Malaysia Sabah","keywords":"Quarter (Canadian coin); Advection; Nonlinear system; Diffusion; Mathematics; Finite difference method; Finite difference; Diffusion equation; Algorithm; Applied mathematics; Mathematical analysis; Physics; Thermodynamics; Engineering; History","score_opus":0.0391761117227809,"score_gpt":0.31963404753887004,"score_spread":0.28045793581608913,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410185981","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012519742,0.00005009354,0.98464984,0.00031741138,0.00035755118,0.00054194144,0.000011358711,0.000043907137,0.0015081847],"genre_scores_gemma":[0.07235232,0.000027476206,0.9265827,0.0000139480735,0.00015139866,0.00003793165,0.000010332426,0.000032953183,0.000790971],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99785185,0.00011504701,0.0010928866,0.00019467597,0.00048198475,0.0002635818],"domain_scores_gemma":[0.9952088,0.0026370813,0.001100882,0.0003159887,0.0006482647,0.000088995585],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012190245,0.00025896245,0.00060078327,0.00034636137,0.00022781575,0.00012803685,0.00023681174,0.00013748244,0.000022871158],"category_scores_gemma":[0.0013153817,0.000186149,0.00021274226,0.000455116,0.000062524756,0.00022224755,0.00003254866,0.00027145047,0.000002953774],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026630206,0.0047684163,0.00018082416,0.002191055,0.0007228136,0.000012129817,0.008258832,0.00028898145,0.0086541725,0.18813209,0.001420185,0.7851042],"study_design_scores_gemma":[0.0015963073,0.00079894124,0.000110989415,0.00102844,0.00042405413,0.000042048512,0.006452634,0.5954822,0.0033300614,0.39003772,0.0004295657,0.0002670912],"about_ca_topic_score_codex":0.0000023806315,"about_ca_topic_score_gemma":0.0000024721242,"teacher_disagreement_score":0.7848371,"about_ca_system_score_codex":0.00009007756,"about_ca_system_score_gemma":0.00012057833,"threshold_uncertainty_score":0.7590936},"labels":[],"label_agreement":null},{"id":"W4410438863","doi":"10.28924/2291-8639-23-2025-122","title":"Analysis of Weighted Sobolev Space Solutions for Nonlinear Capillarity Problem with Dirichlet Boundary Conditions","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Umm Al-Qura University","keywords":"Mathematics; Sobolev space; Nonlinear system; Space (punctuation); Dirichlet problem; Boundary value problem; Mathematical analysis; Dirichlet distribution; Sobolev inequality; Boundary (topology); Dirichlet boundary condition; Applied mathematics; Pure mathematics; Computer science","score_opus":0.02619415188014076,"score_gpt":0.3706233904544115,"score_spread":0.34442923857427077,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410438863","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.032425072,0.00015036669,0.96427685,0.0019220947,0.000030509598,0.00021399587,0.00045637367,0.000009633385,0.0005150894],"genre_scores_gemma":[0.7411867,0.00019926445,0.25775328,0.00008298792,0.0000917621,0.00010101793,0.00023768518,0.0000097070615,0.0003376106],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99865115,0.00006287138,0.00068828755,0.0001663946,0.0003058527,0.00012543281],"domain_scores_gemma":[0.99677104,0.00074310624,0.0006686282,0.00019452145,0.0015534235,0.00006929235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004944692,0.00011463958,0.00052972726,0.0013531004,0.00019620541,0.000075780306,0.000255477,0.0000546914,0.00006703698],"category_scores_gemma":[0.00010943457,0.000088821376,0.00047078295,0.0022940785,0.0001470856,0.00010446911,0.00005038826,0.0001114086,2.8375328e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016886671,0.0019284358,0.016626263,0.000074459436,0.06791211,0.0000016906387,0.00023300135,0.0022078836,0.0017373293,0.8914208,0.0009555919,0.016733566],"study_design_scores_gemma":[0.0029717442,0.00037809,0.06224099,0.00019109837,0.11312923,0.000014613247,0.0009501144,0.14556713,0.0020682234,0.61625344,0.055589043,0.00064627785],"about_ca_topic_score_codex":0.000043859243,"about_ca_topic_score_gemma":0.00017122678,"teacher_disagreement_score":0.70876163,"about_ca_system_score_codex":0.00004868213,"about_ca_system_score_gemma":0.0001235775,"threshold_uncertainty_score":0.36220306},"labels":[],"label_agreement":null},{"id":"W4411950426","doi":"10.23919/aces66556.2025.11052583","title":"Tensor-Train Accelerated Solution of 3D Vector Volume Integral Equation Solutions with logN Complexity","year":2025,"lang":"en","type":"article","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Tensor (intrinsic definition); Integral equation; Volume (thermodynamics); Volume integral; Computer science; Applied mathematics; Mathematical analysis; Mathematics; Physics; Pure mathematics; Thermodynamics","score_opus":0.25342478299035714,"score_gpt":0.3864715623615214,"score_spread":0.13304677937116427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4411950426","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.050165426,0.000010480294,0.9394809,0.0007835805,0.00011536932,0.0003169532,0.000018012639,0.00012339876,0.008985873],"genre_scores_gemma":[0.7116506,0.0000018117021,0.28604543,0.00004531892,0.000017404443,0.000025993337,0.000030254481,0.000009355702,0.0021738405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99873203,0.00022144099,0.00040894744,0.00020532841,0.0001930356,0.00023923645],"domain_scores_gemma":[0.99888533,0.0003320583,0.00014948533,0.000258669,0.00032772843,0.00004674475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040830413,0.00014697705,0.00031210738,0.00015546975,0.00015760842,0.000032483524,0.00013539476,0.000090320114,0.00070248084],"category_scores_gemma":[0.0006005116,0.00010935542,0.00006952012,0.00062356296,0.00019423256,0.00011661845,0.000053971315,0.00014822122,0.000013320832],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010602971,0.00062128576,0.00074770104,0.00010428838,0.00013605587,4.2334494e-7,0.00016155008,0.000052763782,0.007888078,0.9642603,0.0020142642,0.023907268],"study_design_scores_gemma":[0.0021132608,0.000661593,0.048077043,0.00024238724,0.00042503502,0.0000033527049,0.00069128635,0.4505074,0.004620521,0.4913786,0.0007192728,0.0005602277],"about_ca_topic_score_codex":0.00025923626,"about_ca_topic_score_gemma":0.00023701126,"teacher_disagreement_score":0.6614852,"about_ca_system_score_codex":0.00007986196,"about_ca_system_score_gemma":0.00009504285,"threshold_uncertainty_score":0.76916724},"labels":[],"label_agreement":null},{"id":"W4412067471","doi":"10.4153/s0008439525100829","title":"A free boundary problem of competition-diffusion system with Dirichlet boundary condition","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Dirichlet boundary condition; Boundary (topology); Free boundary problem; Diffusion; Dirichlet distribution; Mixed boundary condition; Competition (biology); Boundary value problem; Mathematical analysis; Thermodynamics","score_opus":0.01509931142593543,"score_gpt":0.27484886076845017,"score_spread":0.2597495493425147,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412067471","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09915107,0.00015968391,0.66514444,0.0070195007,0.0001809747,0.0016550306,0.00040863917,0.00024727985,0.2260334],"genre_scores_gemma":[0.8386681,0.0000040488676,0.15689614,0.00041196388,0.000057717123,0.00020267682,0.00005975266,0.00005544587,0.0036441581],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981555,0.00020940206,0.0006293639,0.00029310182,0.00033030935,0.0003823287],"domain_scores_gemma":[0.99784464,0.0008716427,0.00018501951,0.0005753905,0.0002076863,0.00031559778],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0005295631,0.00023734337,0.00056689687,0.00030128087,0.0002771272,0.000099506084,0.00033098191,0.00014662668,0.004055459],"category_scores_gemma":[0.0004902533,0.0001911093,0.00011263289,0.0004152846,0.00031658166,0.000038757556,0.00006788363,0.00021515139,0.00024414543],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029735349,0.00015170444,0.00003480733,0.0017910041,0.00007391478,0.000017318804,0.000120562916,0.000001845386,0.00014841452,0.98271924,0.013847142,0.0010643023],"study_design_scores_gemma":[0.0013849427,0.00023288687,0.00030626098,0.0030787524,0.00025165107,0.000039179515,0.0007050697,0.0008324957,0.00041582424,0.912197,0.08012325,0.00043271988],"about_ca_topic_score_codex":0.00068779354,"about_ca_topic_score_gemma":0.0010322432,"teacher_disagreement_score":0.73951703,"about_ca_system_score_codex":0.0002720226,"about_ca_system_score_gemma":0.00044673352,"threshold_uncertainty_score":0.99685496},"labels":[],"label_agreement":null},{"id":"W4412537658","doi":"10.1109/synchroinfo65403.2025.11079367","title":"On Replacing the Quarter-Wave Section of a Directional Coupler with Lumped LC Elements","year":2025,"lang":"en","type":"article","venue":"","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Section (typography); Quarter (Canadian coin); Hybrid coupler; Physics; Power dividers and directional couplers; Optics; Electrical engineering; Computer science; Engineering; History","score_opus":0.04725094902552459,"score_gpt":0.3429475643982874,"score_spread":0.2956966153727628,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412537658","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34346935,0.0000025626803,0.6153503,0.000344041,0.0002861346,0.00022256705,0.0000023190028,0.0000447124,0.040277995],"genre_scores_gemma":[0.9610589,0.0000013631062,0.032831658,0.00012218051,0.00003301836,0.00003649416,0.0000023148827,0.00000696464,0.0059070853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99932325,0.00008389914,0.00021576426,0.00012000261,0.0001738082,0.00008327644],"domain_scores_gemma":[0.99900067,0.00066341687,0.00006515625,0.00018467495,0.00007156862,0.000014487418],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030200405,0.00007159115,0.00012356359,0.0000598375,0.00009227374,0.000016523123,0.000041338,0.000028092789,0.00041277404],"category_scores_gemma":[0.00019657392,0.000039282288,0.000041886047,0.00023470883,0.000026704534,0.000029233819,0.000013917376,0.00008093713,0.0000020157925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00090947706,0.0016680339,0.0018072737,0.00025042487,0.0008349649,0.0000014489702,0.00097423175,0.000093126764,0.022107774,0.90012556,0.02422981,0.046997875],"study_design_scores_gemma":[0.004227934,0.0021791959,0.020278126,0.0006717544,0.00056034746,0.000012788229,0.002514185,0.08456577,0.074944794,0.8039208,0.00549858,0.0006256862],"about_ca_topic_score_codex":0.00004325187,"about_ca_topic_score_gemma":0.000045860845,"teacher_disagreement_score":0.6175896,"about_ca_system_score_codex":0.000026976963,"about_ca_system_score_gemma":0.000020938047,"threshold_uncertainty_score":0.45195863},"labels":[],"label_agreement":null},{"id":"W4413381232","doi":"10.28924/2291-8639-23-2025-197","title":"Application of Cryptography for Controllability Results of Fractional Neutral Volterra-Fredholm Integro-Differential Equations with State-Dependent Delay","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Prince Sultan University","keywords":"Controllability; Mathematics; State (computer science); Applied mathematics; Cryptography; Mathematical analysis; Control theory (sociology); Computer science; Control (management); Algorithm; Artificial intelligence","score_opus":0.018837884233171596,"score_gpt":0.35950318098981016,"score_spread":0.34066529675663854,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413381232","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05743445,0.00004607347,0.9412324,0.00037752578,0.00006415303,0.00036066238,0.00030009417,0.000007264857,0.00017737088],"genre_scores_gemma":[0.9477875,0.000027116334,0.05189536,0.000020032021,0.00007307458,0.000082922415,0.000062069106,0.0000073536344,0.00004452296],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99791795,0.000076385266,0.001285757,0.00020491806,0.00040865978,0.00010634349],"domain_scores_gemma":[0.9943359,0.0017753596,0.0013406778,0.0002335102,0.0022485596,0.000066027475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076075026,0.000133322,0.00049224275,0.000875146,0.00007103061,0.000036672758,0.00030724634,0.00006409713,0.000018205037],"category_scores_gemma":[0.00032856534,0.00010296535,0.00038131894,0.0007964193,0.00015601625,0.000117684125,0.000037322316,0.00013909314,1.5738405e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0043768217,0.0037251383,0.01135286,0.00015117896,0.014378822,7.860151e-7,0.00043729533,0.0060629426,0.0230614,0.79794604,0.00018117848,0.13832556],"study_design_scores_gemma":[0.011106829,0.00094336446,0.059717927,0.00018898657,0.009881032,0.00001242689,0.0009347765,0.08925383,0.033752013,0.79024476,0.003397985,0.0005660564],"about_ca_topic_score_codex":0.00010959979,"about_ca_topic_score_gemma":0.00017000675,"teacher_disagreement_score":0.8903531,"about_ca_system_score_codex":0.000045075034,"about_ca_system_score_gemma":0.000097719574,"threshold_uncertainty_score":0.4198805},"labels":[],"label_agreement":null},{"id":"W4413470524","doi":"10.1007/978-3-031-84869-8_34","title":"The Sparse Grid Combination Method for Multidimensional Black-Scholes Partial Differential Equations","year":2025,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Sparse grid; Black–Scholes model; Grid; Applied mathematics; Partial differential equation; Mathematics; Computer science; Mathematical analysis; Econometrics; Geometry","score_opus":0.05950610271078553,"score_gpt":0.36105186508783854,"score_spread":0.301545762377053,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413470524","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00006485321,0.00007787689,0.9782287,0.00020400558,0.0009894235,0.0021324072,0.00067867694,0.00011525175,0.01750884],"genre_scores_gemma":[0.00019548985,0.00011659949,0.8765415,0.000026002604,0.0003341181,0.00036116503,0.00013752119,0.00015301866,0.12213458],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99603665,0.000047579288,0.0017514656,0.0006796313,0.00088235055,0.00060234574],"domain_scores_gemma":[0.98815167,0.009167769,0.0011611885,0.0004306214,0.0009490311,0.00013974508],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0016782895,0.0007197165,0.0010511901,0.00035582317,0.0005238893,0.0002657224,0.00050674495,0.0004684428,0.00011400799],"category_scores_gemma":[0.00659745,0.0005884438,0.0002929688,0.00012099223,0.0002919862,0.00011155689,0.00030850928,0.0008165286,0.000025678488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047224647,0.00031319988,0.0000015851497,0.0011082366,0.00018891563,0.000002212649,0.0005280262,0.0000060109514,0.00009643167,0.97839075,0.0072076847,0.012109715],"study_design_scores_gemma":[0.0007882446,0.000096456286,0.0000102109125,0.00066637597,0.0005448842,0.0000017243036,0.000082306964,0.14038098,0.00021081453,0.83233696,0.024352113,0.00052895176],"about_ca_topic_score_codex":0.000007207657,"about_ca_topic_score_gemma":0.00002238975,"teacher_disagreement_score":0.14605382,"about_ca_system_score_codex":0.00023946469,"about_ca_system_score_gemma":0.00018004361,"threshold_uncertainty_score":0.9996567},"labels":[],"label_agreement":null},{"id":"W4415271631","doi":"10.48550/arxiv.2505.10935","title":"Boundary Stabilization of Quasilinear Parabolic PDEs that Blow Up in Open Loop for Arbitrarily Small Initial Conditions","year":2025,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Boundary (topology); Exponential stability; Nonlinear system; Stability (learning theory); Partial differential equation; Exponential function; Parabolic partial differential equation; Boundary value problem","score_opus":0.3312608412156762,"score_gpt":0.4644868132239363,"score_spread":0.13322597200826009,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415271631","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8831287,0.000112310816,0.11151653,0.00020903202,0.00089590106,0.002095923,0.0007601668,0.000056771034,0.0012246654],"genre_scores_gemma":[0.9355947,0.000100129946,0.06107483,0.0001717648,0.0001564057,0.000990962,0.00083652715,0.00005586737,0.0010188418],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997728,0.0003704027,0.00088333595,0.000538717,0.00018791133,0.00029163557],"domain_scores_gemma":[0.9968383,0.0016158209,0.00049626734,0.0007020088,0.00027000482,0.000077625904],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007405115,0.00032259012,0.0008881867,0.00026949248,0.0001278098,0.00012867044,0.00068208546,0.00036991204,0.0002918719],"category_scores_gemma":[0.00178056,0.0003212767,0.00024309581,0.0003071439,0.00016736933,0.0001358289,0.00067011366,0.00045795966,0.000005419683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0023944387,0.012549315,0.36528593,0.020020854,0.0023657936,0.000022021157,0.010650304,0.0012921988,0.0062638214,0.50774854,0.002776781,0.06862997],"study_design_scores_gemma":[0.0033375202,0.0002858647,0.07157215,0.0017533179,0.00065841316,0.0000015301056,0.00070554344,0.00986886,0.017773097,0.89130265,0.0017757881,0.000965269],"about_ca_topic_score_codex":0.00038320766,"about_ca_topic_score_gemma":0.00041666842,"teacher_disagreement_score":0.3835541,"about_ca_system_score_codex":0.000077516364,"about_ca_system_score_gemma":0.0006063731,"threshold_uncertainty_score":0.99992394},"labels":[],"label_agreement":null},{"id":"W4415421305","doi":"10.4153/s0008439525101367","title":"Perturbed cone theorems for proper harmonic maps","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Cone (formal languages); Generalization; Harmonic; Harmonic map; Harmonic coordinates; Brouwer fixed-point theorem","score_opus":0.0500689591519977,"score_gpt":0.33202653620487826,"score_spread":0.28195757705288055,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415421305","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015394443,0.00024217417,0.7573866,0.041726884,0.00050313806,0.0030482786,0.00015934929,0.00023561575,0.18130349],"genre_scores_gemma":[0.49424076,0.000015662294,0.37645277,0.005889223,0.0002601439,0.0013837742,0.0000495715,0.00015222847,0.12155586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984535,0.0001256664,0.00044318012,0.00030762,0.00014742151,0.00052259216],"domain_scores_gemma":[0.99727815,0.001714324,0.000064199005,0.00042882244,0.00014194303,0.00037253945],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0007188249,0.00021872263,0.00043782292,0.00017377245,0.00020429115,0.000100131394,0.00030600367,0.00015304187,0.008767838],"category_scores_gemma":[0.0041535846,0.00016944532,0.00018105199,0.00021164585,0.00014567446,0.000019939076,0.000038320402,0.0001719065,0.0011835507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017603767,0.00007441999,0.000003196786,0.00026034613,0.000054251832,0.0000027749702,0.000079774894,1.8994804e-7,0.00014545833,0.91184837,0.07986879,0.0076448475],"study_design_scores_gemma":[0.00039691475,0.000041719788,0.000010339793,0.0001223612,0.0000765234,0.0000026088126,0.00007580598,0.0005796297,0.00046300606,0.7670366,0.23101601,0.00017845616],"about_ca_topic_score_codex":0.00018495972,"about_ca_topic_score_gemma":0.00017737575,"teacher_disagreement_score":0.4788463,"about_ca_system_score_codex":0.00014991476,"about_ca_system_score_gemma":0.00025302163,"threshold_uncertainty_score":0.99959415},"labels":[],"label_agreement":null},{"id":"W4416368173","doi":"10.5539/jmr.v17n4p112","title":"Numerical Blow-up for a Parabolic Partial Differential Equation With a Convection Term","year":2025,"lang":"","type":"article","venue":"Journal of Mathematics Research","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Discretization; Partial differential equation; Parabolic partial differential equation; Term (time); Work (physics); Neumann boundary condition; Boundary value problem; Convection–diffusion equation; Method of lines","score_opus":0.21571448522623868,"score_gpt":0.48543567534715143,"score_spread":0.2697211901209128,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416368173","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17875256,0.00023338001,0.8164052,0.0011645163,0.0013481842,0.0015528688,0.000018060799,0.000020695672,0.0005045657],"genre_scores_gemma":[0.8906835,0.00026094704,0.10509546,0.000027578915,0.00093417865,0.00020215331,0.000006802169,0.00010060454,0.0026887765],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9920115,0.0013863461,0.0026457945,0.00047029764,0.0024135676,0.001072485],"domain_scores_gemma":[0.98537034,0.008556406,0.0015262158,0.00069974386,0.003438822,0.00040848972],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0065985476,0.0005059411,0.0016188837,0.0013777117,0.00068485196,0.00066209165,0.0008213794,0.0004287178,0.0008152637],"category_scores_gemma":[0.007264919,0.00037266596,0.0006527308,0.0015835321,0.00046397722,0.00035138841,0.00017743403,0.0015773596,0.000026613237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.010105499,0.02394505,0.00042620307,0.017500877,0.0060111037,0.00007065248,0.013583502,0.0003390112,0.025823902,0.6373532,0.00884399,0.25599703],"study_design_scores_gemma":[0.013961608,0.008118279,0.00044837836,0.006319736,0.0026025048,0.00017886068,0.0044977595,0.45933184,0.036557347,0.46346006,0.0035319962,0.0009916289],"about_ca_topic_score_codex":0.000016548482,"about_ca_topic_score_gemma":0.000003854111,"teacher_disagreement_score":0.71193093,"about_ca_system_score_codex":0.00041695742,"about_ca_system_score_gemma":0.0011916575,"threshold_uncertainty_score":0.9998725},"labels":[],"label_agreement":null},{"id":"W51859461","doi":"10.1007/bfb0003742","title":"Discontinuous finite element methods for the approximation of optimal control problems governed by hereditary differential systems","year":2005,"lang":"en","type":"book-chapter","venue":"Lecture notes in control and information sciences","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Finite element method; Differential (mechanical device); Mathematics; Applied mathematics; Element (criminal law); Control (management); Computer science; Physics; Engineering; Structural engineering; Artificial intelligence; Political science; Thermodynamics","score_opus":0.03228369099458839,"score_gpt":0.32491113463365373,"score_spread":0.29262744363906534,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W51859461","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00004721402,0.0015462327,0.9924406,0.00074083405,0.00039465827,0.0021253552,0.00038181734,0.000023729399,0.002299606],"genre_scores_gemma":[0.7565385,0.0007399676,0.23729123,0.0008955665,0.00088231335,0.0012941542,0.00027774964,0.0000709075,0.0020096137],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99772316,0.0001444957,0.001170557,0.00023084904,0.00046482382,0.00026608325],"domain_scores_gemma":[0.99220854,0.0062705437,0.0010771814,0.00020760347,0.00018461481,0.000051489224],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018913045,0.00032110297,0.0007147133,0.00016878388,0.0002156071,0.0002293577,0.00031436488,0.00024219557,0.000058895315],"category_scores_gemma":[0.0011935334,0.00019030583,0.00016143623,0.000091494505,0.00030226161,0.0006411005,0.000040820418,0.0002418282,0.0000011237456],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024037847,0.00006784282,0.000010929843,0.0005866306,0.0002479663,8.242818e-8,0.0009290157,0.01792815,0.00022474548,0.12934634,0.00017310103,0.8502448],"study_design_scores_gemma":[0.0023702588,0.000409693,0.000018850369,0.00021275456,0.0002632546,0.000002647324,0.00005607405,0.9130045,0.00008826807,0.0549108,0.028334731,0.00032817508],"about_ca_topic_score_codex":0.000052646683,"about_ca_topic_score_gemma":0.000015819809,"teacher_disagreement_score":0.89507633,"about_ca_system_score_codex":0.000047706348,"about_ca_system_score_gemma":0.000060247716,"threshold_uncertainty_score":0.77604467},"labels":[],"label_agreement":null},{"id":"W53589000","doi":"10.1007/978-3-7091-0408-8_2","title":"Asymptotic Methods For PDE Problems In Fluid Mechanics and Related Systems With Strong Localized Perturbations In Two-Dimensional Domains","year":2010,"lang":"en","type":"book-chapter","venue":"Courses and lectures","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University; University of British Columbia","funders":"","keywords":"Variety (cybernetics); Applied mathematics; Mathematics; Method of matched asymptotic expansions; Calculus (dental); Mathematical analysis; Differential equation; Statistics; Medicine","score_opus":0.03786729071149343,"score_gpt":0.35780488167953195,"score_spread":0.31993759096803853,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W53589000","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0025726748,0.006379079,0.9820311,0.00026497841,0.0005405797,0.0026448956,0.00006718118,0.00007495844,0.0054245545],"genre_scores_gemma":[0.16061279,0.00038082842,0.7985398,0.00013996294,0.0002810646,0.00062732014,0.00021805451,0.00039036057,0.038809825],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985609,0.00014379519,0.00047552524,0.0004056576,0.00016606686,0.00024806624],"domain_scores_gemma":[0.9976012,0.0017561284,0.00022499559,0.0002203729,0.00010146182,0.00009581003],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00064410054,0.0003461996,0.0007079731,0.00025108847,0.00011719995,0.000077409706,0.000086449174,0.00033678883,0.000060832986],"category_scores_gemma":[0.00029550627,0.00024871712,0.00007127464,0.000065109576,0.00009156366,0.00004469505,0.000043915526,0.000483559,3.8066653e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010379497,0.000092609196,0.000009698363,0.0004257412,0.00018853189,0.000005217177,0.00047395733,0.0022707388,0.0009670529,0.98649013,0.000057301622,0.008915224],"study_design_scores_gemma":[0.0020370819,0.00031319444,0.000026294898,0.00085218076,0.0003386071,0.000046868703,0.000050832477,0.09790609,0.00004037354,0.8938239,0.0040835715,0.00048101222],"about_ca_topic_score_codex":0.000061641935,"about_ca_topic_score_gemma":0.00029950766,"teacher_disagreement_score":0.1834913,"about_ca_system_score_codex":0.000043743777,"about_ca_system_score_gemma":0.000089668865,"threshold_uncertainty_score":0.9999965},"labels":[],"label_agreement":null},{"id":"W7000346663","doi":"","title":"The Experience of Mothers Whose Very Low Birth Weight Infant Requires Supplemental Oxygen in the Neonatal Intensive Care Unit","year":2011,"lang":"en","type":"article","venue":"eScholarship@McGill (McGill)","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"McGill University","keywords":"Supplemental oxygen; Neonatal intensive care unit; Low birth weight; Cognitive reframing; Oxygen; Intensive care; Birth weight","score_opus":0.05785450336733038,"score_gpt":0.30860103427186975,"score_spread":0.25074653090453936,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7000346663","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9939724,0.00016781798,0.000022614058,0.000038422808,0.00031895415,0.00059322885,0.0004030954,0.000047680147,0.0044357576],"genre_scores_gemma":[0.9951781,0.00007184609,0.0041558747,0.000222243,0.00001802306,0.00013878748,0.000017592363,0.000054157237,0.00014338735],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99696285,0.00077048724,0.0007553254,0.00040943886,0.0005892941,0.0005126263],"domain_scores_gemma":[0.9971745,0.0011313432,0.00033682396,0.0008329241,0.0004066941,0.00011772116],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009004076,0.00033550878,0.0003952207,0.000143676,0.0006081427,0.0000487349,0.0010067659,0.00013353431,0.00037648427],"category_scores_gemma":[0.001814332,0.00020773531,0.00020828667,0.0005626234,0.00034907152,0.00043602104,0.00031360312,0.00050932594,0.000021221553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00069193775,0.0004222849,0.002160875,0.00024532294,0.00025507077,0.00010975978,0.013318227,0.000004131175,0.013974254,0.7606706,0.000017551944,0.20812999],"study_design_scores_gemma":[0.0036529806,0.0011937598,0.011405803,0.00063155865,0.00023186744,0.00008574776,0.25850213,0.00021183192,0.2875312,0.37972742,0.05520327,0.0016224446],"about_ca_topic_score_codex":0.00084637786,"about_ca_topic_score_gemma":0.0007792247,"teacher_disagreement_score":0.38094318,"about_ca_system_score_codex":0.00012910129,"about_ca_system_score_gemma":0.000027441642,"threshold_uncertainty_score":0.84712},"labels":[],"label_agreement":null},{"id":"W7025232140","doi":"","title":"Two new synonyms in Neotropical Philonthina (Coleoptera: Staphylinidae)","year":2019,"lang":"en","type":"article","venue":"Conicet","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Natural history; National Museum of Natural History; Type (biology); National museum; Natural (archaeology); Phylogenetic tree","score_opus":0.06309533041354513,"score_gpt":0.36832346453547904,"score_spread":0.3052281341219339,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7025232140","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9426644,0.00009779243,0.02350128,0.0007353415,0.00052583875,0.00038690495,0.00000390763,0.00007834812,0.032006223],"genre_scores_gemma":[0.9512258,0.000008178216,0.046296142,0.00023151681,0.00014259758,0.000011277662,0.0000031650789,0.000019634768,0.002061646],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99882644,0.00013356161,0.00034203893,0.00025135768,0.00017930042,0.00026728373],"domain_scores_gemma":[0.99882996,0.0005496527,0.00008441297,0.00038815368,0.000030738964,0.00011706399],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0002337937,0.00014048835,0.00034876878,0.000074303374,0.000023259021,0.00004651293,0.00020670384,0.000075949196,0.0016226986],"category_scores_gemma":[0.0002948681,0.00012197965,0.00009278971,0.00019579158,0.000026823504,0.000095500574,0.00007474851,0.00023649722,0.00038786113],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018586715,0.00072718726,0.040704876,0.00016224108,0.000089255445,0.000034492376,0.0010555214,0.000039207272,0.0007375831,0.8464447,0.002433923,0.10738509],"study_design_scores_gemma":[0.0061267954,0.0005281505,0.07723261,0.00023803729,0.00007266277,0.000008583905,0.00014871216,0.0066906163,0.00075830583,0.88708735,0.020371232,0.0007369231],"about_ca_topic_score_codex":0.00028656964,"about_ca_topic_score_gemma":0.00017026818,"teacher_disagreement_score":0.10664817,"about_ca_system_score_codex":0.00004770734,"about_ca_system_score_gemma":0.000082481965,"threshold_uncertainty_score":0.99928993},"labels":[],"label_agreement":null},{"id":"W872063","doi":"10.1002/1097-0142(197706)39:6<2651::aid-cncr2820390652>3.0.co;2-1","title":"О некоторых применениях метода направляющих функций в задачах нелинейного анализа и теории управления","year":2013,"lang":"en","type":"article","venue":"Tambov University Reports Series Natural and Technical Sciences","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Mathematical analysis; Boundary value problem; Calculus (dental); Pure mathematics","score_opus":0.029250184713017848,"score_gpt":0.28293128527185835,"score_spread":0.2536811005588405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W872063","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95414037,0.0003471986,0.0025990286,0.0036871112,0.00070724054,0.0007237859,0.000008312403,0.0006623115,0.037124664],"genre_scores_gemma":[0.9450944,0.000108719134,0.04821771,0.00008876176,0.000052945474,0.0000041610406,0.000005091976,0.000010984132,0.006417246],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99778277,0.00013008037,0.00041225954,0.000640164,0.0005398914,0.0004948413],"domain_scores_gemma":[0.9985134,0.00040070456,0.00030202503,0.0003590338,0.00016005833,0.00026475222],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005907153,0.00027313296,0.00043914767,0.00016452264,0.0008229947,0.00019829835,0.00039930508,0.00018162226,0.0006324798],"category_scores_gemma":[0.0006220482,0.00020170968,0.00015565273,0.0009106323,0.0013233387,0.0010900807,0.00044339657,0.00036493858,0.00001679005],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016938636,0.0010190832,0.01617176,0.0002549172,0.00019730181,0.0008168215,0.0005545876,0.000006415443,0.025884869,0.75069684,0.021907741,0.18232028],"study_design_scores_gemma":[0.000608292,0.0010887618,0.06468125,0.00017077546,0.00023200545,0.0014513265,0.0017847224,0.000429139,0.0025649124,0.8653244,0.060103893,0.0015605338],"about_ca_topic_score_codex":0.00042251757,"about_ca_topic_score_gemma":0.000093862785,"teacher_disagreement_score":0.18075974,"about_ca_system_score_codex":0.00006516329,"about_ca_system_score_gemma":0.000075269534,"threshold_uncertainty_score":0.8225483},"labels":[],"label_agreement":null},{"id":"W87731125","doi":"10.1023/a:1016658419067","title":"Birkhoff interpolation on some perturbed roots of unity: Revisited","year":2000,"lang":"en","type":"article","venue":"Numerical Algorithms","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Lacunary function; Interpolation (computer graphics); Complex plane; Theory of computation; Range (aeronautics); Birkhoff interpolation; Mathematical analysis; Root of unity; Plane (geometry); Pure mathematics; Trilinear interpolation; Applied mathematics; Linear interpolation; Geometry; Algorithm","score_opus":0.05674016216338719,"score_gpt":0.3545631090474876,"score_spread":0.29782294688410044,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W87731125","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.41270337,0.00023842006,0.5577258,0.001999874,0.0007085698,0.0011553917,0.00011238988,0.00064646057,0.024709737],"genre_scores_gemma":[0.76783335,0.00004701387,0.22876017,0.0006257644,0.00030910695,0.00003558576,0.000044424723,0.00007321669,0.0022713933],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982761,0.0002853628,0.00051571865,0.00028410341,0.00038741564,0.00025131006],"domain_scores_gemma":[0.9984807,0.0007639218,0.00015015813,0.00037948485,0.00008807131,0.00013770942],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027947625,0.0002043977,0.00047311513,0.00012252602,0.00007635926,0.000027102891,0.00020260716,0.000116943986,0.0030721715],"category_scores_gemma":[0.00055484637,0.0001612907,0.00017169789,0.00053788937,0.000067629364,0.00012592116,0.000031261705,0.00024257578,0.00014480886],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013780712,0.0008044894,0.00006591615,0.000053711054,0.000066326495,0.000003769769,0.00015858148,0.000013080425,0.0010086093,0.033341162,0.0007815011,0.96356505],"study_design_scores_gemma":[0.0024637964,0.0024503097,0.010765638,0.00048722536,0.00027953958,0.000016212622,0.00013377263,0.27957675,0.0074021914,0.6698474,0.025370665,0.0012064769],"about_ca_topic_score_codex":0.00004469869,"about_ca_topic_score_gemma":2.7480917e-7,"teacher_disagreement_score":0.9623586,"about_ca_system_score_codex":0.000039028157,"about_ca_system_score_gemma":0.00002084187,"threshold_uncertainty_score":0.99783915},"labels":[],"label_agreement":null}]}