{"meta":{"query_hash":"683e2ba05e82","filters":{"venue":"Discrete and Continuous Dynamical Systems"},"cohort_total":127,"direct_labels_cover":0,"predictions_cover":127,"exported":127,"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/683e2ba05e82","api":"https://metacan.xera.ac/api/v1/cohort?venue=Discrete+and+Continuous+Dynamical+Systems"},"results":[{"id":"W1491943380","doi":"10.3934/dcds.2017163","title":"Uniformly expanding Markov maps of the real line: Exactness and infinite mixing","year":2017,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":11,"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":"Ministero dell’Istruzione, dell’Università e della Ricerca; Division of Mathematical Sciences; York University; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Mixing (physics); Class (philosophy); Markov chain; Characterization (materials science); Markov process; Finite set","score_opus":0.021026477645754854,"score_gpt":0.2902669457808801,"score_spread":0.26924046813512525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1491943380","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":[0.98199195,0.00010482117,0.003168059,0.0001765676,0.00022113763,0.0004778727,0.00010055146,0.00003124645,0.013727804],"genre_scores_gemma":[0.9980621,0.00007190354,0.00033617072,0.000009319262,0.000071276816,0.000020789883,0.0000070409915,0.000027123888,0.0013943191],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99855125,0.000084387546,0.00055985095,0.00025583134,0.0002617505,0.000286959],"domain_scores_gemma":[0.99821967,0.00041862196,0.00052853633,0.0006450727,0.000067424524,0.00012066679],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058654405,0.00021442641,0.00058448664,0.000035616544,0.00039045137,0.0003018197,0.00035442025,0.00015427427,0.000004679135],"category_scores_gemma":[0.00044596844,0.00013298157,0.000105744926,0.000043357417,0.00028943527,0.00015149645,0.00034247365,0.00018934012,5.9103735e-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":[0.000082580125,0.00011085764,0.049064666,0.002372433,0.00020287423,0.000020453059,0.0011051592,0.000003091359,0.002609955,0.9374365,0.00010630244,0.0068850857],"study_design_scores_gemma":[0.0055212043,0.0005603757,0.084727995,0.007567134,0.0008351555,0.00027889933,0.0065387073,0.46730506,0.00031280486,0.4226872,0.0012789621,0.0023864824],"about_ca_topic_score_codex":0.00033927723,"about_ca_topic_score_gemma":0.00007942848,"teacher_disagreement_score":0.51474935,"about_ca_system_score_codex":0.000016838188,"about_ca_system_score_gemma":0.00001363043,"threshold_uncertainty_score":0.5422831},"labels":[],"label_agreement":null},{"id":"W1551990738","doi":"10.3934/dcds.2015.35.5273","title":"On the uniqueness of solutions to quadratic BSDEs with convex generators and unbounded terminal conditions: The critical case","year":2015,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":8,"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":"Agence Nationale de la Recherche","keywords":"Uniqueness; Generator (circuit theory); Regular polygon; Mathematics; Quadratic equation; Exponential function; Terminal (telecommunication); Convex function; Pure mathematics; Combinatorics; Applied mathematics; Mathematical analysis; Physics; Computer science; Power (physics); Thermodynamics; Geometry","score_opus":0.0188815755716435,"score_gpt":0.25256523025086963,"score_spread":0.23368365467922614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1551990738","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":[0.97323227,0.0006840903,0.022219915,0.0014714727,0.00027113882,0.0012854104,0.0005672922,0.00007613244,0.00019225632],"genre_scores_gemma":[0.9992772,0.0000093906765,0.000037252736,0.00005036815,0.00006274194,0.00048039408,0.000040844723,0.000023520386,0.000018304678],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99834913,0.00034838368,0.0004547827,0.00032430593,0.00025090313,0.000272465],"domain_scores_gemma":[0.9979624,0.0010773708,0.00006652724,0.0005019732,0.00021642307,0.00017527273],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047073135,0.00029259265,0.0005543514,0.000056861198,0.00030728368,0.00027463792,0.00018433304,0.00018804499,0.000008392367],"category_scores_gemma":[0.00030533382,0.00016830182,0.00007566383,0.00010067048,0.00066617876,0.00004673775,0.00012789415,0.00039656338,0.0000011786539],"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":[0.00032072465,0.00030810462,0.001212925,0.0028839237,0.0012441933,0.0001926772,0.007199526,0.035266224,0.0011414959,0.9478895,0.0004819768,0.0018587203],"study_design_scores_gemma":[0.0011074183,0.0007148228,0.0017949495,0.0013406907,0.00091177353,0.0006293629,0.013089419,0.9320256,0.00004462036,0.047221918,0.000108203276,0.0010112143],"about_ca_topic_score_codex":0.00075239124,"about_ca_topic_score_gemma":0.0010926382,"teacher_disagreement_score":0.9006676,"about_ca_system_score_codex":0.00006794058,"about_ca_system_score_gemma":0.000074321084,"threshold_uncertainty_score":0.6863149},"labels":[],"label_agreement":null},{"id":"W1602470494","doi":"10.3934/dcds.2016.36.4367","title":"On the stability of time-domain integral equations for acoustic wave propagation","year":2016,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Numerical methods in inverse problems","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":"Toronto Metropolitan University","funders":"","keywords":"Stability (learning theory); Time domain; Domain (mathematical analysis); Physics; Acoustics; Mathematical analysis; Mathematics; Computer science","score_opus":0.056280655202342926,"score_gpt":0.3120787827325273,"score_spread":0.2557981275301844,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1602470494","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":[0.067893244,0.0000590113,0.92410445,0.00069901434,0.0005050229,0.004019257,0.00070006604,0.00008546676,0.0019344856],"genre_scores_gemma":[0.9875281,0.000004806608,0.01064725,0.000023656787,0.00012778761,0.0011469407,0.000051196854,0.00005700449,0.00041325815],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969198,0.00084548723,0.00094584713,0.0005609716,0.00039296134,0.000334893],"domain_scores_gemma":[0.990352,0.0077598095,0.0007406299,0.00077121146,0.00028021506,0.00009618383],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020951952,0.00036232427,0.0008990419,0.000059768612,0.00012480053,0.000087367756,0.00031330713,0.00035762112,0.000030892552],"category_scores_gemma":[0.0046976893,0.0001970436,0.0002771591,0.0000773916,0.00035204555,0.000040082785,0.000298957,0.00044042311,0.0000039400907],"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":[0.00021962395,0.00017752037,0.000066821325,0.0023841264,0.00032285153,0.000001437108,0.0007922213,0.0000428449,0.0077491873,0.985141,0.00037644236,0.0027259532],"study_design_scores_gemma":[0.0003773325,0.00021980373,0.000009216682,0.0011052446,0.0001716945,0.000002249387,0.00046835802,0.17002098,0.00021329193,0.8270659,0.000049150847,0.00029679062],"about_ca_topic_score_codex":0.00005110931,"about_ca_topic_score_gemma":0.000009950433,"teacher_disagreement_score":0.9196349,"about_ca_system_score_codex":0.00016053887,"about_ca_system_score_gemma":0.00006446285,"threshold_uncertainty_score":0.8035205},"labels":[],"label_agreement":null},{"id":"W1627059930","doi":"10.3934/dcds.2017242","title":"Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials","year":2017,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":14,"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":"Multiplicity (mathematics); Physics; Nonlinear Schrödinger equation; Mathematical physics; Nonlinear system; Schrödinger equation; Mathematical analysis; Mathematics; Quantum mechanics","score_opus":0.03645722269270314,"score_gpt":0.3053639070579623,"score_spread":0.26890668436525916,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1627059930","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":[0.45294726,0.00008604922,0.540636,0.0004230757,0.00029160007,0.0008000311,0.0005668585,0.00006029589,0.004188802],"genre_scores_gemma":[0.9960144,0.000009168669,0.0029417884,0.000010279219,0.00021580509,0.000060998784,0.000108699816,0.0000353517,0.0006035132],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99820554,0.00010589439,0.00058189,0.00032355584,0.00043976796,0.00034335925],"domain_scores_gemma":[0.99775887,0.0005374179,0.00062603474,0.0005168457,0.0004070605,0.00015375741],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003221572,0.00022877693,0.0005298297,0.0001828621,0.000727827,0.0002775009,0.00025878314,0.00014996427,0.000026977805],"category_scores_gemma":[0.00077989115,0.00018467454,0.00013007961,0.00015634675,0.0002882105,0.0003064914,0.00014167713,0.00021809583,0.000013764174],"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":[0.0002408462,0.0008559406,0.007548007,0.00034337305,0.0010548651,0.000028246064,0.00048654203,0.00018277235,0.009500048,0.97669995,0.00015880344,0.0029006074],"study_design_scores_gemma":[0.0046799383,0.001070221,0.08863904,0.0016171945,0.0014268014,0.000089475136,0.0013594974,0.8781128,0.0006621642,0.020648543,0.00025827967,0.0014360333],"about_ca_topic_score_codex":0.00091228343,"about_ca_topic_score_gemma":0.00021800019,"teacher_disagreement_score":0.9560514,"about_ca_system_score_codex":0.000038306083,"about_ca_system_score_gemma":0.00006397296,"threshold_uncertainty_score":0.75308096},"labels":[],"label_agreement":null},{"id":"W1967805700","doi":"10.3934/dcds.2009.23.299","title":"On global controllability of 2-D Burgers equation","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Stability and Controllability of Differential Equations","field":"Engineering","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":"Toronto Metropolitan University","funders":"","keywords":"Controllability; Counterexample; Boundary (topology); Burgers' equation; Mathematics; Mathematical analysis; Pure mathematics; Applied mathematics; Discrete mathematics; Partial differential equation","score_opus":0.009822924984087366,"score_gpt":0.20497033321975355,"score_spread":0.19514740823566618,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1967805700","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":[0.96205944,0.0003688658,0.034256607,0.000081684295,0.00030573743,0.00044333754,0.00012267542,0.00014479613,0.0022168434],"genre_scores_gemma":[0.999801,0.000018190884,0.000026388192,0.000012113535,0.000037818758,0.000040061324,0.000025095416,0.000010070848,0.00002929903],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99872637,0.00009584292,0.0004693238,0.00023022507,0.00025317355,0.00022506282],"domain_scores_gemma":[0.99921805,0.00026215223,0.00006052718,0.00026510583,0.00008366231,0.00011050135],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018111352,0.00017296005,0.00047368734,0.000030765637,0.000084926265,0.000023580003,0.00008758229,0.00011872923,0.000015207865],"category_scores_gemma":[0.00016943703,0.00015428757,0.00012087074,0.00012952872,0.00018823668,0.00007684072,0.000015013531,0.000095610645,0.0000043054674],"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":[0.0020068323,0.0012921994,0.26645654,0.0020904178,0.0016002874,0.000031314,0.002871192,0.11841298,0.016852513,0.5362575,0.0006895504,0.0514387],"study_design_scores_gemma":[0.0025067562,0.00036993003,0.10140977,0.00009117861,0.00008284831,0.000012890154,0.00041653865,0.88814974,0.000074387106,0.006308544,0.00012277284,0.00045465774],"about_ca_topic_score_codex":0.00026263675,"about_ca_topic_score_gemma":0.00004740923,"teacher_disagreement_score":0.76973677,"about_ca_system_score_codex":0.00008093946,"about_ca_system_score_gemma":0.000013654027,"threshold_uncertainty_score":0.6291664},"labels":[],"label_agreement":null},{"id":"W1970006077","doi":"10.3934/dcds.2007.18.701","title":"A note on a non-local Kuramoto-Sivashinsky equation","year":2007,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Stability and Controllability of Differential Equations","field":"Engineering","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":"Simon Fraser University","funders":"","keywords":"Exponent; Physics; Mathematical physics; Combinatorics; Mathematics","score_opus":0.006725637950086274,"score_gpt":0.22065461523594948,"score_spread":0.21392897728586321,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1970006077","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":[0.51812184,0.00010420641,0.4776473,0.00009544427,0.00035526,0.00042795745,0.000021480959,0.00018256991,0.0030439298],"genre_scores_gemma":[0.9995208,0.000006842491,0.00006774519,0.00003771774,0.00014763666,0.000044111497,0.000039964038,0.000025980033,0.00010922727],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985588,0.000043930606,0.00044900857,0.0002879785,0.00027408727,0.00038619092],"domain_scores_gemma":[0.9991628,0.00029345686,0.00004449018,0.00026774555,0.00005412172,0.00017740247],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039587214,0.00022104487,0.00036069244,0.0000789735,0.000112748574,0.00011853786,0.00012128215,0.00018167606,0.000011329903],"category_scores_gemma":[0.00007133253,0.00019862229,0.00010779649,0.00013387822,0.00010227002,0.00010731291,0.000022832955,0.00022054538,0.00002497392],"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":[0.0013804497,0.0008198528,0.012865349,0.0016490611,0.0008101507,0.00007898984,0.0066623758,0.060166445,0.039218668,0.14059559,0.00032810122,0.735425],"study_design_scores_gemma":[0.0010380788,0.00022078796,0.01895006,0.00010104535,0.000046814435,0.0000055879104,0.0007066578,0.97715265,0.000117339005,0.0007245812,0.0005785009,0.0003579102],"about_ca_topic_score_codex":0.00022119441,"about_ca_topic_score_gemma":0.00028102953,"teacher_disagreement_score":0.91698617,"about_ca_system_score_codex":0.000109310895,"about_ca_system_score_gemma":0.000009669382,"threshold_uncertainty_score":0.8099582},"labels":[],"label_agreement":null},{"id":"W1973922722","doi":"10.3934/dcds.2015.35.1239","title":"Qualitative analysis of a Lotka-Volterra competition system with advection","year":2014,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","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":"Dalhousie University","funders":"","keywords":"Bounded function; Mathematics; Advection; Population; Mathematical analysis; Bifurcation; Diffusion; Statistical physics; Nonlinear system; Physics; Thermodynamics","score_opus":0.012185967650171976,"score_gpt":0.29840320993013913,"score_spread":0.28621724227996714,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1973922722","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":[0.47818318,0.00003675654,0.51589674,0.00013407107,0.000031207997,0.00018539515,0.000010729375,0.000034995046,0.005486939],"genre_scores_gemma":[0.9995712,0.0000028349225,0.000111921676,0.000045949568,0.00003108225,0.00003687929,0.000044351684,0.000007834639,0.00014796581],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985697,0.00043650594,0.00045210237,0.00024713206,0.00011003427,0.000184501],"domain_scores_gemma":[0.9988782,0.0005678533,0.00016188342,0.00016503966,0.000096122065,0.00013090645],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000823356,0.00013332136,0.0009814933,0.00010864181,0.00007089579,0.000008142555,0.000032035427,0.00015019234,0.000017803522],"category_scores_gemma":[0.00010889178,0.0000808607,0.00012679378,0.00021150026,0.00031860307,0.00003217786,0.0000171182,0.00012591985,0.0000026479963],"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":[0.00025381692,0.00005872664,0.0011805197,0.00048412278,0.00095607736,0.00002484612,0.000758858,0.00012751091,0.000071916744,0.9959219,0.0000025273937,0.00015919555],"study_design_scores_gemma":[0.0006975939,0.0007929902,0.0017191931,0.00028763645,0.0018063249,0.0004627307,0.005455801,0.98802054,0.0000045108654,0.00061696104,0.000015942347,0.000119799945],"about_ca_topic_score_codex":0.00021225939,"about_ca_topic_score_gemma":0.00003932566,"teacher_disagreement_score":0.99530494,"about_ca_system_score_codex":0.0000201322,"about_ca_system_score_gemma":0.0000057394386,"threshold_uncertainty_score":0.32974038},"labels":[],"label_agreement":null},{"id":"W1976912553","doi":"10.3934/dcds.2007.18.85","title":"Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces","year":2007,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":10,"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; Ministerio de Ciencia y Tecnología","keywords":"Linear subspace; Operator theory; Differential operator; Invariant (physics); Polynomial; Invariant polynomial; Nonlinear system; Linear operators; Algebraic structure; Algebraic number","score_opus":0.004874575551211369,"score_gpt":0.2440457710844073,"score_spread":0.23917119553319593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1976912553","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":[0.96611655,0.0001131828,0.031750347,0.00006731386,0.00042591253,0.0005647493,0.0004595416,0.000025378038,0.0004770449],"genre_scores_gemma":[0.99690163,0.0000029165692,0.00047745105,0.000020605887,0.0019721757,0.0000129151895,0.00019058266,0.000036932764,0.00038477965],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985615,0.00004415474,0.00039883537,0.0003912822,0.00013227062,0.00047194786],"domain_scores_gemma":[0.999259,0.00013864972,0.00012816051,0.0001730381,0.000058986327,0.00024215279],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019076702,0.00027245336,0.00046315131,0.000046007244,0.00027194686,0.00017701428,0.00012154595,0.00012646434,0.000015454318],"category_scores_gemma":[0.000012144646,0.00020336731,0.000111190755,0.00006494529,0.00011777391,0.000092736154,0.00008702366,0.0002050271,8.0186294e-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":[0.002031999,0.0005708995,0.4955365,0.00094199297,0.0021863242,0.000059286464,0.0068635787,0.00028104233,0.13479006,0.31249735,0.0006005583,0.043640386],"study_design_scores_gemma":[0.011365164,0.0012319311,0.042450994,0.0006102522,0.0006439264,0.00005232164,0.019427303,0.9059449,0.005099736,0.0022168388,0.007937904,0.003018772],"about_ca_topic_score_codex":0.00069041335,"about_ca_topic_score_gemma":0.00005891698,"teacher_disagreement_score":0.9056638,"about_ca_system_score_codex":0.00001167507,"about_ca_system_score_gemma":0.000024489813,"threshold_uncertainty_score":0.8293078},"labels":[],"label_agreement":null},{"id":"W1980322195","doi":"10.3934/dcds.2007.18.39","title":"Examples of Anosov Lie algebras","year":2007,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Indecomposable module; Mathematics; Pure mathematics; Lie algebra; Dimension (graph theory); Algebraic number; Algebraic structure; Algebra over a field; Mathematical analysis","score_opus":0.016628803914676075,"score_gpt":0.2893850241003725,"score_spread":0.2727562201856964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980322195","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":[0.92435896,0.000758619,0.067067124,0.00003631731,0.00019750492,0.0002352118,0.000020730327,0.00006848814,0.007257057],"genre_scores_gemma":[0.9977481,0.000018520408,0.0009540819,0.000024456194,0.00008135058,0.000006872,0.000009732505,0.000018777177,0.001138107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988259,0.00008479328,0.00044509186,0.00021267765,0.0001362568,0.0002952552],"domain_scores_gemma":[0.9987873,0.0006685867,0.0001665705,0.00023174366,0.000049031325,0.00009677929],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005278941,0.00014911265,0.0004319666,0.000051059716,0.00007181762,0.000012749681,0.00012319817,0.00016280446,0.000017170278],"category_scores_gemma":[0.00017932976,0.000117393356,0.00007142648,0.000073205265,0.0002490501,0.000059635797,0.00005279108,0.0001338932,0.0000029130406],"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":[0.00008353583,0.00004563746,0.0039467304,0.00013317128,0.00005914619,0.000021872667,0.00033962386,9.67935e-7,0.0025835733,0.9901939,0.000067459594,0.0025243599],"study_design_scores_gemma":[0.002073614,0.0005652789,0.010412467,0.00041790633,0.00020778764,0.00022456529,0.008403033,0.0014581344,0.0017011402,0.96938646,0.0042536096,0.00089599885],"about_ca_topic_score_codex":0.000055163608,"about_ca_topic_score_gemma":0.000050783456,"teacher_disagreement_score":0.07338916,"about_ca_system_score_codex":0.00001333956,"about_ca_system_score_gemma":0.000007487835,"threshold_uncertainty_score":0.47871622},"labels":[],"label_agreement":null},{"id":"W1980699672","doi":"10.3934/dcds.2009.23.1141","title":"Temporal growth and eventual periodicity for dispersive wave equationsin a quarter plane","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":22,"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":"Dissipation; Mathematical analysis; Mathematics; Boundary value problem; Algebraic number; Wave equation; Quarter (Canadian coin); Boundary (topology); Plane (geometry); Algebraic equation; Physics; Nonlinear system; Geometry; Quantum mechanics","score_opus":0.030000663746118574,"score_gpt":0.26552682495769586,"score_spread":0.2355261612115773,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1980699672","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":[0.72650456,0.00021830169,0.27023706,0.00029042838,0.00011940827,0.0014536537,0.00014174732,0.00010324889,0.0009316013],"genre_scores_gemma":[0.99516135,0.000012698529,0.004138612,0.00003047391,0.00009385484,0.00015518576,0.000057058387,0.000033230892,0.00031753303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985393,0.00006657856,0.00046868462,0.00036642753,0.00022415878,0.0003348413],"domain_scores_gemma":[0.9987397,0.00064461597,0.00017299085,0.00019275736,0.00008191968,0.00016798786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001565276,0.00024591532,0.0005635223,0.000038649872,0.0002571199,0.000061076964,0.00007881261,0.00011119054,0.000003089293],"category_scores_gemma":[0.00022651584,0.00019470592,0.00009306827,0.00006499752,0.00025270713,0.00016655348,0.00005876491,0.00013902127,0.0000019685108],"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":[0.00016518595,0.00025086137,0.0017785948,0.0010878626,0.0001863509,0.000035620888,0.0049432577,0.000003362856,0.0019745429,0.98833203,0.0007861838,0.000456155],"study_design_scores_gemma":[0.0044590705,0.0011848004,0.0010047964,0.0005316096,0.00026713955,0.00049083174,0.0061682053,0.11382457,0.000120814344,0.87026453,0.00031161684,0.0013720107],"about_ca_topic_score_codex":0.00007205801,"about_ca_topic_score_gemma":0.000014425704,"teacher_disagreement_score":0.26865682,"about_ca_system_score_codex":0.000029181423,"about_ca_system_score_gemma":0.000018333078,"threshold_uncertainty_score":0.79398775},"labels":[],"label_agreement":null},{"id":"W1982204508","doi":"10.3934/dcds.2014.34.2561","title":"Liouville type results and regularity of the extremal solutions of biharmonic equation with negative exponents","year":2013,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":22,"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":"Innovation Scientists and Technicians Troop Construction Projects of Henan Province; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Biharmonic equation; Type (biology); Mathematics; Mathematical physics; Combinatorics; Boundary value problem; Boundary (topology); Mathematical analysis; Pure mathematics; Physics","score_opus":0.04254033058889266,"score_gpt":0.2605635067074239,"score_spread":0.21802317611853123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982204508","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":[0.9915925,0.000096551375,0.0068149213,0.00017739632,0.0000731652,0.00070568675,0.00007651639,0.00001658925,0.00044667328],"genre_scores_gemma":[0.9990852,0.0000066950743,0.00048765275,0.0000026607997,0.000023945866,0.0000274866,0.000015126301,0.000011542871,0.00033968405],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988655,0.00017816937,0.00040910856,0.00016985988,0.00022347506,0.0001539282],"domain_scores_gemma":[0.99894255,0.0002471661,0.00029782337,0.00024748087,0.00020911758,0.000055832334],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018269492,0.00011182055,0.00028191792,0.000034179862,0.000094809635,0.00003174765,0.000091246075,0.00007313276,0.0000059922136],"category_scores_gemma":[0.0003260612,0.00006831908,0.0000410974,0.0001567584,0.00020854945,0.000092509385,0.000083876155,0.00008993408,0.000001110005],"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":[0.001383143,0.0013939526,0.028785078,0.0018356782,0.0012907222,0.000004027597,0.009593861,0.0001810451,0.17995778,0.7685115,0.0008055107,0.0062577543],"study_design_scores_gemma":[0.007863148,0.0017846654,0.23453066,0.0024357622,0.0009366843,0.000041336945,0.0068003517,0.66126776,0.0049143876,0.078288965,0.0000659962,0.0010702779],"about_ca_topic_score_codex":0.001244095,"about_ca_topic_score_gemma":0.00024521395,"teacher_disagreement_score":0.6902225,"about_ca_system_score_codex":0.000015590707,"about_ca_system_score_gemma":0.000023997169,"threshold_uncertainty_score":0.27859715},"labels":[],"label_agreement":null},{"id":"W1987241381","doi":"10.3934/dcds.2010.28.1165","title":"On the size of the Navier - Stokes singular set","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","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":"McMaster University","funders":"","keywords":"Mathematics; Smoothness; Fourier transform; Upper and lower bounds; Pure mathematics; Norm (philosophy); Mathematical analysis; Space (punctuation); Computer science; Law","score_opus":0.018449813614394087,"score_gpt":0.2778467228202125,"score_spread":0.2593969092058184,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987241381","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":[0.99257845,0.000079135796,0.0013486119,0.0010972676,0.00052823545,0.000633366,0.00008172989,0.00003952002,0.0036136617],"genre_scores_gemma":[0.99763703,0.0000022868787,0.00011325199,0.00008128168,0.0000733924,0.000046073652,0.0000038739636,0.000020603678,0.0020222084],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998609,0.0002309247,0.00039744913,0.00018921732,0.00035961744,0.00021377667],"domain_scores_gemma":[0.9975501,0.0014562792,0.00023290656,0.0006051576,0.00009398708,0.00006159091],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005675863,0.00015654613,0.00029293314,0.000018577995,0.00023663063,0.0000696652,0.00030963,0.00012196184,0.000040618987],"category_scores_gemma":[0.0011055911,0.00007948695,0.00013671225,0.00014289435,0.00026865734,0.000047184323,0.00008559472,0.00036480822,0.000007593424],"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":[0.000016994096,0.000065346554,0.0016774829,0.00007507023,0.000075080294,0.0000016462501,0.0008473199,0.000007297954,0.009880674,0.9854908,0.0013808968,0.0004814001],"study_design_scores_gemma":[0.0067351894,0.0009899113,0.038522486,0.0029375067,0.0016620823,0.0003924064,0.0154646,0.18820114,0.003316839,0.6685755,0.06977452,0.003427792],"about_ca_topic_score_codex":0.00009856227,"about_ca_topic_score_gemma":0.00007145446,"teacher_disagreement_score":0.31691527,"about_ca_system_score_codex":0.000017312354,"about_ca_system_score_gemma":0.000022066706,"threshold_uncertainty_score":0.32413837},"labels":[],"label_agreement":null},{"id":"W1987764924","doi":"10.3934/dcds.2003.9.1293","title":"Bifurcation from a homoclinic orbit in partial functional differential equations","year":2003,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":5,"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":"Homoclinic orbit; Homoclinic bifurcation; Heteroclinic orbit; Mathematics; Orbit (dynamics); Mathematical analysis; Equilibrium point; Ordinary differential equation; Partial differential equation; Differential equation; Bifurcation; Physics; Nonlinear system","score_opus":0.01150869390507778,"score_gpt":0.209530013249346,"score_spread":0.19802131934426823,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987764924","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":[0.79553837,0.00051202654,0.20202239,0.0000644235,0.0006712542,0.00035794007,0.000080655314,0.00012343447,0.0006295386],"genre_scores_gemma":[0.99936366,0.000016242673,0.000031290885,0.000009811021,0.00011989765,0.00016135714,0.00018461078,0.000018752104,0.0000943515],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99851274,0.0001676691,0.0005288516,0.00030757574,0.00020466068,0.00027847767],"domain_scores_gemma":[0.9992069,0.00036571335,0.000046876004,0.00022617712,0.00003964053,0.00011470326],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001620446,0.00018776592,0.00035354952,0.00007639589,0.00009131399,0.0001220091,0.00007718611,0.00015663131,0.00015194283],"category_scores_gemma":[0.00017783634,0.0001818805,0.00009274113,0.00014096707,0.000072500836,0.00013270817,0.000014778353,0.00019877803,0.000017219849],"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":[0.0006367252,0.0019561395,0.2794841,0.0007405324,0.0014855615,0.000025047224,0.0049154884,0.07488782,0.048930343,0.5476445,0.00039475123,0.03889899],"study_design_scores_gemma":[0.0020561295,0.00006432136,0.0636317,0.00007101151,0.00009060642,0.0000023015443,0.00067851006,0.92850244,0.00005925467,0.0039316,0.0004856684,0.0004264722],"about_ca_topic_score_codex":0.00042436834,"about_ca_topic_score_gemma":0.0006587192,"teacher_disagreement_score":0.8536146,"about_ca_system_score_codex":0.00007160546,"about_ca_system_score_gemma":0.00002252777,"threshold_uncertainty_score":0.7416872},"labels":[],"label_agreement":null},{"id":"W1987783833","doi":"10.3934/dcds.2005.12.723","title":"Invariant measures for bipermutative cellular automata","year":2005,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":21,"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","keywords":"Combinatorics; Invariant (physics); Bijection; Physics; Mathematical physics; Mathematics","score_opus":0.009629854834946269,"score_gpt":0.23397129943212797,"score_spread":0.2243414445971817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987783833","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":[0.036946792,0.000807207,0.95832247,0.0014936334,0.00012768486,0.0007298872,0.000053347547,0.0003016377,0.0012173165],"genre_scores_gemma":[0.9928103,0.0000123699765,0.0057428204,0.00008537382,0.00012826601,0.00024823679,0.000046422003,0.000015242774,0.0009109773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986026,0.00006994685,0.00032858207,0.00046695716,0.00021304037,0.0003188673],"domain_scores_gemma":[0.9990876,0.00011909321,0.00010467627,0.00046006826,0.0000772263,0.00015136154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029689603,0.00017785447,0.00028898587,0.000054288812,0.0002066297,0.00036259837,0.00050188013,0.00008717048,0.0000016852827],"category_scores_gemma":[0.000028083661,0.00014602103,0.00009019217,0.00015007249,0.00006399772,0.00027407336,0.00013715577,0.00008503027,0.000016818314],"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":[0.000015599386,0.00014160218,0.0001531527,0.00009166877,0.00011004354,0.000012486528,0.0018274833,0.00021884959,0.029780205,0.886791,0.0009023229,0.07995556],"study_design_scores_gemma":[0.00059025397,0.00007231178,0.0002274123,0.000034271838,0.000023902248,0.000028799408,0.00016909219,0.95978063,0.0006334815,0.0010455844,0.03711548,0.00027874863],"about_ca_topic_score_codex":0.00009963318,"about_ca_topic_score_gemma":0.000022761578,"teacher_disagreement_score":0.9595618,"about_ca_system_score_codex":0.000044493314,"about_ca_system_score_gemma":0.00004059251,"threshold_uncertainty_score":0.5954565},"labels":[],"label_agreement":null},{"id":"W1990125233","doi":"10.3934/dcds.2011.29.193","title":"Dynamics and abstract computability: Computing invariant measures","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":49,"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":"","keywords":"Computable analysis; Computability; Computable number; Invariant measure; Computable function; Invariant (physics); Measure (data warehouse); Mathematics; Transfer operator; Metric space; Discrete mathematics; Pure mathematics; Computer science","score_opus":0.008618561469826036,"score_gpt":0.2262105296436449,"score_spread":0.21759196817381887,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1990125233","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":[0.57956976,0.0002418125,0.41673622,0.000748361,0.00095845095,0.00050527084,0.000019260067,0.00032188132,0.0008990015],"genre_scores_gemma":[0.9919311,0.000008673564,0.007683156,0.00007685208,0.00019958359,0.0000128769525,0.000014988063,0.00002398693,0.000048831247],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9968171,0.00019334412,0.0007376541,0.0011035166,0.00050285656,0.0006455152],"domain_scores_gemma":[0.99775726,0.00055687845,0.00023120269,0.00084860733,0.00019262162,0.00041342253],"candidate_categories":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0013369514,0.00041559275,0.0007269454,0.00010860457,0.0003396245,0.0010725764,0.0008304992,0.00026562306,0.0000033349042],"category_scores_gemma":[0.00017537049,0.0003530663,0.00011432948,0.00026998686,0.00036836788,0.00037593732,0.0009061472,0.0007041476,0.0000049628325],"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":[0.0000362075,0.00035594733,0.07840027,0.00041047507,0.00018119784,0.00015557141,0.0015455933,0.0005917739,0.002852318,0.5162206,0.000057294834,0.39919272],"study_design_scores_gemma":[0.00046126978,0.00010986636,0.065959714,0.000046088462,0.00001706791,0.00028040254,0.00016568058,0.9287517,0.000008395465,0.0035681468,0.00017214626,0.00045953016],"about_ca_topic_score_codex":0.0010084572,"about_ca_topic_score_gemma":0.0005808334,"teacher_disagreement_score":0.9281599,"about_ca_system_score_codex":0.00006703263,"about_ca_system_score_gemma":0.000055986657,"threshold_uncertainty_score":0.9999644},"labels":[],"label_agreement":null},{"id":"W1996952380","doi":"10.3934/dcds.2010.28.789","title":"A structural condition for microscopic convexity principle","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":11,"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":"Convexity; Nonlinear system; Mathematics; Natural (archaeology); Mathematical economics; Mathematical analysis; Applied mathematics; Calculus (dental); Physics; Geology; Economics","score_opus":0.02301611046836846,"score_gpt":0.3380462380250357,"score_spread":0.31503012755666726,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996952380","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":[0.97498405,0.000021199756,0.022644231,0.00009210896,0.000704111,0.0009501182,0.0002920958,0.00009227979,0.00021981371],"genre_scores_gemma":[0.9971008,6.936132e-7,0.0016345666,0.000014626888,0.0002595808,0.0001292297,0.00017045673,0.000024692241,0.0006653949],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989517,0.000051423485,0.00034807113,0.0002549897,0.0001350644,0.00025875145],"domain_scores_gemma":[0.9991924,0.0002277575,0.0001370307,0.00022393659,0.0000980608,0.00012077377],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015859444,0.00015847188,0.00032194573,0.000032161,0.00017106405,0.00013451722,0.0001103151,0.0001435148,0.00002714625],"category_scores_gemma":[0.00024283922,0.0001301796,0.000084235835,0.00004557633,0.00012070082,0.0000842385,0.000042310196,0.00017729263,0.0000045010465],"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":[0.000069391484,0.000065833694,0.005607842,0.00042178045,0.00010349688,0.000002604633,0.00027397863,0.0000029449977,0.11280419,0.87968606,0.0001793966,0.00078249414],"study_design_scores_gemma":[0.00704216,0.00075489824,0.028679151,0.0003102769,0.0005602239,0.00012539401,0.00071545,0.7479331,0.004143372,0.20024979,0.0077354605,0.0017507421],"about_ca_topic_score_codex":0.00009479451,"about_ca_topic_score_gemma":0.00033179365,"teacher_disagreement_score":0.7479301,"about_ca_system_score_codex":0.000015158111,"about_ca_system_score_gemma":0.000019767353,"threshold_uncertainty_score":0.530857},"labels":[],"label_agreement":null},{"id":"W2003997174","doi":"10.3934/dcds.2009.23.1205","title":"A two-phase problem for capillary-gravity waves and theBenjamin-Ono equation","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Ocean Waves and Remote Sensing","field":"Earth and Planetary Sciences","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":"Conservative vector field; Physics; Compressibility; Internal wave; Euler equations; Mathematical analysis; Boundary value problem; Euler system; Classical mechanics; Wave equation; Mechanics; Mathematical physics; Mathematics; Thermodynamics","score_opus":0.014030234990134888,"score_gpt":0.23007476179718803,"score_spread":0.21604452680705313,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003997174","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":[0.9933749,0.0017162196,0.0020641133,0.00013815849,0.00018258579,0.0006291961,0.00012599473,0.000042030482,0.0017268249],"genre_scores_gemma":[0.9981109,0.0001442758,0.00080889405,0.000040452454,0.00016404671,2.7690794e-7,0.00020428751,0.0000072205266,0.0005196739],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99884355,0.00008078888,0.00027827924,0.00032828283,0.00015334995,0.0003157759],"domain_scores_gemma":[0.99942523,0.0001415691,0.000102406215,0.0001176059,0.000043669155,0.00016950115],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022994076,0.00017388035,0.00031240273,0.000043222175,0.00035093768,0.00011783557,0.00006266233,0.00008635908,0.000006048354],"category_scores_gemma":[0.000021731836,0.00012251514,0.000060698414,0.00006744595,0.00016322298,0.00013205461,0.000012359614,0.00009004344,0.0000029318035],"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":[0.0016647782,0.00030989893,0.21261382,0.0017507563,0.00061571406,0.0003985645,0.008667109,0.0031168389,0.0048563415,0.020492867,0.00081907614,0.74469423],"study_design_scores_gemma":[0.0020064206,0.00055153505,0.017667634,0.000101850164,0.000050700186,0.00032636608,0.00089179043,0.9754569,0.00001972104,0.0010840874,0.0014686335,0.00037434153],"about_ca_topic_score_codex":0.0023775026,"about_ca_topic_score_gemma":0.0003647087,"teacher_disagreement_score":0.9723401,"about_ca_system_score_codex":0.0000041143144,"about_ca_system_score_gemma":0.000016275735,"threshold_uncertainty_score":0.4996022},"labels":[],"label_agreement":null},{"id":"W2004559981","doi":"10.3934/dcds.2010.27.1107","title":"Quasi-invariant measures, escape rates and the effect of the hole","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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":"University of Victoria","funders":"","keywords":"Perturbation (astronomy); Piecewise; Invariant (physics); Mathematics; Interval (graph theory); Physics; Mathematical analysis; Pure mathematics; Mathematical physics; Applied mathematics; Combinatorics; Quantum mechanics","score_opus":0.006921183962121572,"score_gpt":0.24380862304877957,"score_spread":0.236887439086658,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004559981","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":[0.9913705,0.00036767803,0.003429438,0.0005672913,0.00028775216,0.0010986354,0.000034693094,0.000031872125,0.0028121655],"genre_scores_gemma":[0.9992391,0.000015462347,0.00007945754,0.000019323586,0.00006297645,0.00006479026,0.0000023682428,0.000023229342,0.00049331354],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9983352,0.00040125672,0.00047862533,0.00023181192,0.00031050242,0.00024260543],"domain_scores_gemma":[0.99725556,0.0018699663,0.00024313272,0.00048538108,0.0000528255,0.0000931447],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016829034,0.00022025232,0.0006699462,0.000020826961,0.00016588894,0.00013845143,0.00027744964,0.00015352527,0.0000076138954],"category_scores_gemma":[0.0009827435,0.00009233739,0.00015399742,0.00008936903,0.0005211047,0.00004620012,0.00014911611,0.00034622426,0.0000014065824],"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":[0.00014328475,0.00006265848,0.0034577488,0.0005937977,0.00014534447,0.0000032240107,0.00039539064,0.0000012093071,0.004020665,0.98944575,0.00009617811,0.0016347494],"study_design_scores_gemma":[0.009538309,0.001041222,0.0045155627,0.0010949057,0.0011255229,0.00027592087,0.0010984181,0.7733253,0.0009667527,0.2043227,0.0015895837,0.0011058126],"about_ca_topic_score_codex":0.00022424145,"about_ca_topic_score_gemma":0.000120128825,"teacher_disagreement_score":0.78512305,"about_ca_system_score_codex":0.0000056790113,"about_ca_system_score_gemma":0.000009415541,"threshold_uncertainty_score":0.37654096},"labels":[],"label_agreement":null},{"id":"W2004874345","doi":"10.3934/dcds.2010.28.559","title":"Partial regularity of Brenier solutionsof the Monge-Ampère equation","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":47,"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; National Science Foundation","keywords":"Nabla symbol; Omega; Combinatorics; Bounded function; Lambda; Mathematics; Homeomorphism (graph theory); Zero (linguistics); Euclidean geometry; Open set; Mathematical analysis; Physics; Geometry","score_opus":0.01854251545355862,"score_gpt":0.26084303291121724,"score_spread":0.24230051745765863,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004874345","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":[0.96851194,0.0002946694,0.028858002,0.0003640421,0.00032444674,0.0003444735,0.000028378172,0.00003618447,0.0012378874],"genre_scores_gemma":[0.99856824,0.0000072103626,0.00026025364,0.000011023264,0.00016632449,0.000031920667,0.00002116857,0.000011873178,0.0009219865],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986385,0.00012889538,0.00046310146,0.00021913314,0.0003322343,0.00021811789],"domain_scores_gemma":[0.9988495,0.00027656986,0.00024380148,0.0004090882,0.00014390334,0.000077119206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007292362,0.00014213196,0.00038882726,0.00005672712,0.00015183179,0.000089187815,0.00018438496,0.00017638037,0.000027782096],"category_scores_gemma":[0.00038928541,0.00008586744,0.00015364723,0.00028973067,0.00015287465,0.0000845033,0.00006391262,0.0002847023,0.000002754095],"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":[0.00006555162,0.00027063693,0.023166051,0.00023002252,0.00044641003,0.000004826106,0.00092683866,0.00004853019,0.009816247,0.953444,0.0018841876,0.0096967155],"study_design_scores_gemma":[0.0027202715,0.00041862283,0.06359217,0.00026425533,0.0018493971,0.0001095737,0.0053233006,0.82362396,0.0004242921,0.08093953,0.019342262,0.0013923622],"about_ca_topic_score_codex":0.00040483093,"about_ca_topic_score_gemma":0.00025180858,"teacher_disagreement_score":0.8725045,"about_ca_system_score_codex":0.000009312041,"about_ca_system_score_gemma":0.000014768703,"threshold_uncertainty_score":0.35015726},"labels":[],"label_agreement":null},{"id":"W2012257633","doi":"10.3934/dcds.2004.10.731","title":"Cauchy problem for the Ostrovsky equation","year":2004,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":101,"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":"Initial value problem; Cauchy problem; Compressibility; Dispersion (optics); Homogeneous; Dissipation; Nonlinear system; Mathematical analysis; Cauchy distribution; Mathematics; Physics; Series (stratigraphy); Applied mathematics; Statistical physics; Quantum mechanics; Thermodynamics; Geology","score_opus":0.028271741180788294,"score_gpt":0.2913092415031087,"score_spread":0.26303750032232043,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2012257633","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":[0.02180337,0.0002960876,0.97283304,0.0009630323,0.00014005635,0.0022024028,0.000037823636,0.00013825226,0.0015859116],"genre_scores_gemma":[0.9844986,0.000010294134,0.013960758,0.000050146453,0.00014844502,0.0005937121,0.000017593677,0.000047862148,0.0006725382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863076,0.00003529951,0.00045136243,0.00029143316,0.00024021293,0.0003509345],"domain_scores_gemma":[0.998452,0.00084517745,0.00019198975,0.00032013518,0.00009854354,0.00009214493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003612069,0.00020907367,0.00037366225,0.000021526372,0.0002131626,0.00012086057,0.0001891545,0.00009194275,0.0000019233125],"category_scores_gemma":[0.00020495061,0.00012979709,0.000112815615,0.000091454596,0.00011502975,0.00013707927,0.000062644365,0.00014563861,0.0000054742063],"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":[0.000020275898,0.00005093349,0.000013398791,0.00029897827,0.000055174674,7.849651e-7,0.0002937112,0.00035447246,0.0007873661,0.99659884,0.00006875553,0.0014573178],"study_design_scores_gemma":[0.0009294798,0.00014090847,0.000013615076,0.00016247337,0.00010070204,0.00001294909,0.00051483465,0.020256935,0.00006289416,0.9769235,0.0006564999,0.00022520598],"about_ca_topic_score_codex":0.0000722702,"about_ca_topic_score_gemma":0.000020645619,"teacher_disagreement_score":0.9626953,"about_ca_system_score_codex":0.00006588331,"about_ca_system_score_gemma":0.000020482605,"threshold_uncertainty_score":0.5292972},"labels":[],"label_agreement":null},{"id":"W2017869808","doi":"10.3934/dcds.2013.33.4041","title":"Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction","year":2013,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","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":"Toronto Metropolitan University","funders":"","keywords":"Reaction–diffusion system; Diffusion; Traveling wave; Nitrate; Chemistry; Reaction rate constant; Analytical Chemistry (journal); Thermodynamics; Constant (computer programming); BETA (programming language); Physical chemistry; Physics; Mathematical analysis; Chromatography; Kinetics; Mathematics; Classical mechanics; Organic chemistry","score_opus":0.018158318728632956,"score_gpt":0.2533747842533554,"score_spread":0.23521646552472245,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2017869808","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":[0.9504698,0.00028285355,0.046168905,0.0005014016,0.00013233964,0.0011841836,0.000016661397,0.000026020276,0.0012178431],"genre_scores_gemma":[0.99954045,0.00003520008,0.000078724406,0.000018590841,0.000048558995,0.0001416338,0.000015585216,0.000009225404,0.00011203149],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986517,0.00014711964,0.00067595585,0.00021214297,0.000107204345,0.00020590652],"domain_scores_gemma":[0.99809027,0.001223731,0.00022430129,0.0002186654,0.00014611735,0.00009694014],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083242706,0.0001302291,0.0006871258,0.00002727732,0.00009102641,0.000006908998,0.00006162742,0.00021044162,0.000014459669],"category_scores_gemma":[0.00028454402,0.000069978094,0.0001525814,0.00005740973,0.00044237284,0.00004774944,0.000019960089,0.00015636679,0.0000021860578],"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":[0.0009879044,0.00030687964,0.005270683,0.00471224,0.00036213046,0.0000019438037,0.00059722253,0.000009091052,0.26631477,0.7191147,0.000028566545,0.0022938724],"study_design_scores_gemma":[0.0021688885,0.0011930792,0.017227491,0.001135475,0.0006986532,0.0001459785,0.011697176,0.9457094,0.0043018316,0.015408589,0.000044890377,0.00026855574],"about_ca_topic_score_codex":0.0006020491,"about_ca_topic_score_gemma":0.000009629904,"teacher_disagreement_score":0.9457003,"about_ca_system_score_codex":0.000021153024,"about_ca_system_score_gemma":0.00001512525,"threshold_uncertainty_score":0.2853624},"labels":[],"label_agreement":null},{"id":"W2021294503","doi":"10.3934/dcds.2012.32.2729","title":"Type III excitability, slope sensitivity and coincidence detection","year":2012,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Neural dynamics and brain function","field":"Neuroscience","cited_by":93,"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":"National Institute on Deafness and Other Communication Disorders; National Institutes of Health; Ministerio de Ciencia e Innovación; Departament d'Innovació, Universitats i Empresa, Generalitat de Catalunya; National Natural Science Foundation of China","keywords":"Coincidence detection in neurobiology; Coincidence; Property (philosophy); Sensitivity (control systems); Computer science; Tonic (physiology); Brainstem; Biological neuron model; Neuroscience; Biological system; Physics; Neuron; Biology","score_opus":0.015590775184317479,"score_gpt":0.2394702692571857,"score_spread":0.22387949407286822,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2021294503","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":[0.99476457,0.00020984601,0.0028264136,0.00008723122,0.00093149976,0.0003427004,0.00001292483,0.00009022714,0.00073457113],"genre_scores_gemma":[0.9992746,0.000050831943,0.00000963142,0.000114715505,0.00015342228,0.00001242159,0.0000037065884,0.000015254415,0.00036538954],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985309,0.00027617454,0.0002344556,0.00039090708,0.00020686073,0.0003607062],"domain_scores_gemma":[0.9992021,0.00028757416,0.000092780916,0.00017961618,0.000041767737,0.00019619991],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004381411,0.0001721401,0.0002595221,0.000040126306,0.00021874513,0.00013400143,0.000051727464,0.000102965205,0.000003925651],"category_scores_gemma":[0.00026356074,0.00013908275,0.000038386235,0.00016113595,0.00016374099,0.0003543142,0.000108770735,0.00016976654,0.000007818724],"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":[0.00015697515,0.00006195719,0.022435086,0.000093511655,0.000010195462,0.000027441332,0.0002129047,0.000012925968,0.948677,0.006955682,0.000014533629,0.021341806],"study_design_scores_gemma":[0.0021650682,0.0011583725,0.38449404,0.0002500231,0.00015511196,0.0035000104,0.0010503172,0.58581746,0.014553342,0.0010998289,0.003883758,0.0018726797],"about_ca_topic_score_codex":0.00034982985,"about_ca_topic_score_gemma":0.000100644815,"teacher_disagreement_score":0.93412364,"about_ca_system_score_codex":0.000034779554,"about_ca_system_score_gemma":0.000006160003,"threshold_uncertainty_score":0.56716305},"labels":[],"label_agreement":null},{"id":"W2022603337","doi":"10.3934/dcds.2015.35.4765","title":"Rigorous numerics for nonlinear operators with tridiagonal dominant linear part","year":2015,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Matrix Theory and Algorithms","field":"Computer Science","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":"Université Laval","funders":"Agence Nationale de la Recherche","keywords":"Tridiagonal matrix; Mathematics; Linear operators; Operator (biology); Diagonal; Computation; Linear map; Nonlinear system; Inverse; Applied mathematics; Contraction (grammar); Algebra over a field; Pure mathematics; Mathematical analysis; Discrete mathematics; Algorithm; Physics; Geometry; Eigenvalues and eigenvectors; Quantum mechanics","score_opus":0.0120367012027016,"score_gpt":0.2480885726719081,"score_spread":0.2360518714692065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2022603337","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":[0.06353581,0.00216295,0.92757255,0.000398725,0.0026295797,0.0021897126,0.0008474849,0.00024646043,0.0004167112],"genre_scores_gemma":[0.90187585,0.00032663674,0.084163435,0.000320858,0.0045052553,0.0018081594,0.0012208057,0.00024150584,0.0055374857],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99688107,0.00022586725,0.0006898653,0.0011113927,0.00047474453,0.0006170528],"domain_scores_gemma":[0.9977945,0.00017968267,0.00037524526,0.00086917914,0.00036016188,0.00042119907],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0010031043,0.0005723367,0.0011062368,0.00009030604,0.00020102208,0.0006301155,0.0010677916,0.0003969603,0.0000020775906],"category_scores_gemma":[0.00007040745,0.00040088585,0.00019942391,0.00017303633,0.00016079516,0.00019374615,0.0007767772,0.00052904204,0.0000072400903],"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":[0.0045242,0.0024933706,0.0035749539,0.010024958,0.0043855077,0.0020620904,0.008944559,0.031445134,0.0004466465,0.75881267,0.010679363,0.16260652],"study_design_scores_gemma":[0.001587097,0.0005964759,0.0000112844755,0.0004213843,0.00010290657,0.0001280862,0.00020382997,0.95712465,0.000039917482,0.001971035,0.03690953,0.0009038183],"about_ca_topic_score_codex":0.00015098078,"about_ca_topic_score_gemma":0.000012013725,"teacher_disagreement_score":0.9256795,"about_ca_system_score_codex":0.00007471057,"about_ca_system_score_gemma":0.00026965523,"threshold_uncertainty_score":0.9998443},"labels":[],"label_agreement":null},{"id":"W2025366367","doi":"10.3934/dcds.2010.27.963","title":"Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial Lienard systems","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","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":"Toronto Metropolitan University","funders":"","keywords":"Saddle; Mathematics; Polynomial; Pure mathematics; Type (biology); Liénard equation; Mathematical analysis; Partial differential equation; Mathematical optimization","score_opus":0.013492398580185316,"score_gpt":0.27902504576624654,"score_spread":0.26553264718606123,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2025366367","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":[0.9838131,0.00026684455,0.011893068,0.000045772988,0.0009503204,0.0009429986,0.00011304262,0.00010560586,0.0018692412],"genre_scores_gemma":[0.9987297,0.000017267474,0.0002635078,0.000006977248,0.00024339589,0.00011396578,0.000034638888,0.000049111986,0.00054141984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9970933,0.0002184229,0.0012237851,0.0005135902,0.00041574225,0.0005351255],"domain_scores_gemma":[0.998173,0.000508591,0.00043833078,0.0005281893,0.00011125523,0.00024063204],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00048078838,0.00036013508,0.0011404097,0.00016438271,0.00012064855,0.00014818442,0.00030314006,0.00037735535,0.00000933022],"category_scores_gemma":[0.00031108627,0.00029146354,0.00016460245,0.00026673664,0.00023916712,0.00017064631,0.00012775837,0.00046153826,0.000004807958],"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":[0.00035959587,0.001000433,0.08324334,0.0018664519,0.00029096348,0.000043356154,0.0013959685,0.0006348485,0.13410671,0.7727219,0.00015225413,0.004184161],"study_design_scores_gemma":[0.0088737905,0.0007412634,0.04365575,0.002163695,0.0003782072,0.00030631057,0.0067691635,0.8973049,0.00049545255,0.03333866,0.0029058272,0.00306697],"about_ca_topic_score_codex":0.0032536318,"about_ca_topic_score_gemma":0.0012541313,"teacher_disagreement_score":0.89667004,"about_ca_system_score_codex":0.00006066664,"about_ca_system_score_gemma":0.000032482254,"threshold_uncertainty_score":0.99995375},"labels":[],"label_agreement":null},{"id":"W2026574640","doi":"10.3934/dcds.2006.15.1237","title":"Dynamics of shape memory alloys patches with mechanically induced transformations","year":2006,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Shape Memory Alloy Transformations","field":"Materials Science","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":"Wilfrid Laurier University","funders":"","keywords":"Shape-memory alloy; Nonlinear system; Coupling (piping); Partial differential equation; Basis (linear algebra); Algebraic number; Thermal; Algebraic properties; Algebraic equation; Mechanics; Mathematical analysis; Mathematics; Physics; Computer science; Materials science; Geometry; Thermodynamics","score_opus":0.006668598068961587,"score_gpt":0.20488460850206192,"score_spread":0.19821601043310033,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2026574640","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":[0.96619755,0.00008031152,0.028289601,0.00038214546,0.00014569613,0.00063501036,0.00023193168,0.00014165191,0.0038960841],"genre_scores_gemma":[0.99903286,0.0000065992103,0.0004903681,0.000024748982,0.000045978602,0.00008878352,0.00013681623,0.000028230992,0.00014560352],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99803805,0.0001294227,0.0007411816,0.00030297585,0.00042259932,0.00036573946],"domain_scores_gemma":[0.9991367,0.000119066506,0.00020229456,0.0002802887,0.00014546639,0.00011618753],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003905354,0.00025002842,0.00049879623,0.0000872969,0.00016598866,0.00012920387,0.0002630795,0.00015411686,0.00005249017],"category_scores_gemma":[0.000015100237,0.00019031878,0.00008695312,0.00019908366,0.00015238386,0.0004157804,0.000027685266,0.00014936304,0.00001073835],"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":[0.0003448616,0.00042799296,0.0023965873,0.00083355926,0.00013776623,0.000031475593,0.001714086,0.0018088582,0.81424695,0.17411533,0.00006172325,0.0038808177],"study_design_scores_gemma":[0.006169596,0.0018101775,0.01428574,0.0010197344,0.00064050744,0.0004058879,0.011332488,0.9206331,0.03750648,0.0037044506,0.00019832299,0.0022935309],"about_ca_topic_score_codex":0.0009756604,"about_ca_topic_score_gemma":0.0012522922,"teacher_disagreement_score":0.9188242,"about_ca_system_score_codex":0.000054459382,"about_ca_system_score_gemma":0.000047017336,"threshold_uncertainty_score":0.7760975},"labels":[],"label_agreement":null},{"id":"W2032072564","doi":"10.3934/dcds.2011.31.709","title":"An example of rapid evolution of complex limit cycles","year":2011,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","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":"McGill University","funders":"","keywords":"Holomorphic function; Limit cycle; Mathematics; Multiplicity (mathematics); Complex plane; Perturbation (astronomy); Mathematical analysis; Pure mathematics; Limit (mathematics); Physics; Quantum mechanics","score_opus":0.06739402452553406,"score_gpt":0.2995828862957386,"score_spread":0.23218886177020454,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2032072564","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":[0.6528933,0.00075650885,0.3429924,0.00000678733,0.00034431287,0.0010150418,0.00036381348,0.000093045535,0.0015348067],"genre_scores_gemma":[0.996676,0.00004328631,0.0026093146,0.0000018522493,0.00011943418,0.00009268426,0.00027543178,0.00005703692,0.00012494778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9967031,0.00038708418,0.0014848447,0.0006532156,0.00042502958,0.00034675156],"domain_scores_gemma":[0.99703723,0.00028860982,0.0012305923,0.0009554185,0.00028886338,0.00019926822],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042936223,0.00043019294,0.0015823701,0.00015316333,0.00007715142,0.00005259392,0.00042872364,0.00049808936,0.000028339397],"category_scores_gemma":[0.00009059962,0.00035770467,0.0002862617,0.00011212009,0.00028105386,0.000101789214,0.00031815513,0.00031947618,0.0000011728716],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002006551,0.00071413466,0.003759909,0.004443895,0.00044999155,0.000004006145,0.0012099508,0.00037363212,0.011410324,0.9704098,0.000040952196,0.0069827163],"study_design_scores_gemma":[0.0019962243,0.0012591889,0.018062562,0.0030286084,0.0008905784,0.0000264562,0.0036012297,0.53388584,0.00016664951,0.43522686,0.00018042451,0.0016753804],"about_ca_topic_score_codex":0.010981416,"about_ca_topic_score_gemma":0.00030340927,"teacher_disagreement_score":0.535183,"about_ca_system_score_codex":0.00008630219,"about_ca_system_score_gemma":0.000046055466,"threshold_uncertainty_score":0.99988747},"labels":[],"label_agreement":null},{"id":"W2035676990","doi":"10.3934/dcds.2010.28.1033","title":"Regularity of extremal solutions in fourth order nonlinear eigenvalue problems on general domains","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":47,"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":"Domain (mathematical analysis); Order (exchange); Combinatorics; Eigenvalues and eigenvectors; Bounded function; Lambda; Regular polygon; Omega; Physics; Boundary (topology); Mathematics; Mathematical analysis; Mathematical physics; Geometry; Quantum mechanics","score_opus":0.027280450162847632,"score_gpt":0.2866528641159174,"score_spread":0.25937241395306976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2035676990","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":[0.9752917,0.00003456266,0.022176834,0.00016764161,0.0003214594,0.0007436653,0.00015343874,0.000055444278,0.0010552322],"genre_scores_gemma":[0.99205875,0.000005991591,0.006885774,0.000008712899,0.00022318574,0.0000664057,0.00007048318,0.000034248314,0.000646419],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9980814,0.0001812597,0.0006686344,0.00034377945,0.0003244099,0.0004005568],"domain_scores_gemma":[0.99893004,0.00019336276,0.00019637191,0.00041648274,0.00012765102,0.00013608842],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046176146,0.00022178775,0.0005137663,0.000112919435,0.00011376243,0.000058390473,0.00017704691,0.00022275509,0.0000223846],"category_scores_gemma":[0.0003219083,0.00018453112,0.00010660427,0.00022058585,0.00017246245,0.00007749888,0.000088651446,0.0004021332,0.0000051840393],"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":[0.00014573296,0.00148835,0.014143622,0.00055707543,0.00019506898,0.000023420615,0.0011184938,0.0008875853,0.09788875,0.88123256,0.00012099998,0.0021983404],"study_design_scores_gemma":[0.002243982,0.00036700262,0.0107444385,0.00036206524,0.00013110496,0.000032129872,0.00027066784,0.9613529,0.0003589302,0.023052868,0.00046059507,0.000623328],"about_ca_topic_score_codex":0.0009181729,"about_ca_topic_score_gemma":0.0046855877,"teacher_disagreement_score":0.9604653,"about_ca_system_score_codex":0.000027461245,"about_ca_system_score_gemma":0.000047605536,"threshold_uncertainty_score":0.75249606},"labels":[],"label_agreement":null},{"id":"W2039925965","doi":"10.3934/dcds.2013.33.1937","title":"Stochastic perturbations and Ulam'smethod for W-shaped maps","year":2012,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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":"Concordia University","funders":"","keywords":"Invariant measure; Mathematics; Piecewise; Absolute continuity; Operator (biology); Measure (data warehouse); Invariant (physics); Probability measure; Smoothness; Mathematical analysis; Fixed point; Dynamical systems theory; Applied mathematics; Pure mathematics; Physics; Mathematical physics; Ergodic theory","score_opus":0.030347183473529948,"score_gpt":0.30772938570766367,"score_spread":0.27738220223413373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2039925965","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":[0.19546267,0.00082745694,0.799941,0.00026762113,0.0002609057,0.0012718054,0.00021278331,0.00009735453,0.0016584008],"genre_scores_gemma":[0.98988247,0.000009082782,0.007738174,0.00003471539,0.00018535365,0.00021265559,0.0000429976,0.000041596148,0.0018529674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99857426,0.00009024686,0.00045277076,0.00025635978,0.00017668096,0.00044969187],"domain_scores_gemma":[0.997845,0.0014377818,0.00014887379,0.00022516484,0.00006984715,0.00027331925],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063136325,0.00022855171,0.00053580344,0.000051419862,0.00016696495,0.00013207927,0.00009657715,0.00015677858,0.000010766384],"category_scores_gemma":[0.0006533463,0.00017312105,0.0000975726,0.0000651603,0.00009222262,0.00013835313,0.00006893382,0.00012324177,0.000002843409],"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":[0.000024926327,0.00009823549,0.00031462373,0.00050640485,0.00008184339,7.4231406e-7,0.000571698,0.0000016489744,0.0005766838,0.99611074,0.00018875844,0.0015237138],"study_design_scores_gemma":[0.0013919474,0.00021087816,0.0009238455,0.0003096413,0.00037110192,0.00011256824,0.0016960208,0.74365216,0.0000035917644,0.24906246,0.0015247667,0.0007410084],"about_ca_topic_score_codex":0.000022154505,"about_ca_topic_score_gemma":0.0000062735166,"teacher_disagreement_score":0.79441977,"about_ca_system_score_codex":0.000022670236,"about_ca_system_score_gemma":0.000007687431,"threshold_uncertainty_score":0.7059672},"labels":[],"label_agreement":null},{"id":"W2049229557","doi":"10.3934/dcds.2006.14.845","title":"Unique ergodicity, stable ergodicity, and the Mautner phenomenon for diffeomorphisms","year":2006,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":3,"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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ergodicity; Mathematics; Geodesic; Pure mathematics; Context (archaeology); Manifold (fluid mechanics); Simple (philosophy); Flow (mathematics); Dynamical systems theory; Constant (computer programming); Curvature; Mathematical analysis; Physics; Geometry; Quantum mechanics; Computer science","score_opus":0.013218060514211006,"score_gpt":0.24246782608501782,"score_spread":0.2292497655708068,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2049229557","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":[0.8942084,0.0012356658,0.09323139,0.0008984564,0.0002285229,0.0018920294,0.00012859123,0.00015555599,0.008021424],"genre_scores_gemma":[0.99281263,0.000024150244,0.0003240575,0.00007662893,0.00021921199,0.00023897177,0.000039818817,0.00003900854,0.0062255044],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99815905,0.00017884781,0.0005269353,0.00040278723,0.00026165092,0.0004707313],"domain_scores_gemma":[0.99849534,0.0007773331,0.00019473874,0.00034182743,0.00008181463,0.000108929686],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007409188,0.0002999686,0.000702738,0.000060984967,0.0003552077,0.00027899773,0.00023154462,0.0001561666,0.000013496694],"category_scores_gemma":[0.00006936961,0.0001892881,0.00012293435,0.00013509554,0.000332208,0.00009371464,0.00017182222,0.00017609939,0.0000017733211],"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":[0.00021909966,0.000087390625,0.0016622781,0.00031929408,0.00008241541,0.0000061468068,0.0001485286,0.000024074618,0.000467663,0.99540395,0.00126584,0.00031329453],"study_design_scores_gemma":[0.009533624,0.0005357529,0.0048407735,0.00030659142,0.00052720105,0.00019422328,0.0016859965,0.14238483,0.00008852111,0.8260193,0.01273568,0.0011475123],"about_ca_topic_score_codex":0.0014851978,"about_ca_topic_score_gemma":0.0002580873,"teacher_disagreement_score":0.16938469,"about_ca_system_score_codex":0.00003373962,"about_ca_system_score_gemma":0.000012820851,"threshold_uncertainty_score":0.77189445},"labels":[],"label_agreement":null},{"id":"W2050125755","doi":"10.3934/dcds.2010.26.1269","title":"On the initial-value problem to the Degasperis-Procesi equationwith linear dispersion","year":2009,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Coastal and Marine Dynamics","field":"Earth and Planetary Sciences","cited_by":5,"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":"Initial value problem; Dispersion (optics); Euler equations; Compressibility; Breaking wave; Mathematical analysis; Mathematics; Physics; Euler's formula; Applied mathematics; Mechanics; Wave propagation; Quantum mechanics","score_opus":0.008981374215341505,"score_gpt":0.21809711959992756,"score_spread":0.20911574538458605,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2050125755","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":[0.9687193,0.00021644375,0.0040208157,0.007334521,0.0002446812,0.0009855605,0.00010999103,0.000069348134,0.018299328],"genre_scores_gemma":[0.9975414,0.000018601186,0.000047315418,0.0010830499,0.00016012658,0.0000072480184,0.00009747386,0.000004400646,0.0010403428],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99875677,0.00011828715,0.00024006858,0.0002825538,0.0003039659,0.00029834965],"domain_scores_gemma":[0.99934536,0.00018489799,0.00006767961,0.00022333625,0.000041745745,0.00013697874],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003253053,0.0001769268,0.0001935298,0.000031633386,0.00035898353,0.00020392804,0.00026711702,0.000058744,0.000039692888],"category_scores_gemma":[0.000060919578,0.00008119284,0.000058412494,0.00019853385,0.000061964645,0.000087456436,0.000029003473,0.00018028088,0.000058325804],"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":[0.0011772538,0.00018043621,0.053686265,0.0001422652,0.00015274108,0.00007612664,0.0037640368,0.048088945,0.00019433339,0.26744235,0.0030443084,0.62205094],"study_design_scores_gemma":[0.00036069512,0.0012556225,0.06435483,0.00013668062,0.000041977688,0.00003885393,0.0014495661,0.9206917,0.000004304935,0.0035608343,0.0077087167,0.00039621885],"about_ca_topic_score_codex":0.0024963478,"about_ca_topic_score_gemma":0.0017754319,"teacher_disagreement_score":0.87260276,"about_ca_system_score_codex":0.0000060382454,"about_ca_system_score_gemma":0.000017447726,"threshold_uncertainty_score":0.37737477},"labels":[],"label_agreement":null},{"id":"W2057323730","doi":"10.3934/dcds.2010.28.1273","title":"Optimal three-ball inequalities and quantitative uniqueness for the Stokes system","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":25,"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":"Uniqueness; Ball (mathematics); Mathematics; A priori and a posteriori; Infinity; Continuation; Mathematical analysis; Upper and lower bounds; Applied mathematics; Computer science","score_opus":0.04165364397620753,"score_gpt":0.31935789440421253,"score_spread":0.277704250428005,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057323730","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":[0.6600676,0.00063517655,0.33618575,0.0004249699,0.00047511794,0.0013467739,0.00026174713,0.000141376,0.00046149723],"genre_scores_gemma":[0.9951776,0.0000114613595,0.0036149186,0.000019120673,0.00012059874,0.0004441159,0.000023719946,0.000034531102,0.0005539345],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99851435,0.00015204994,0.00050355284,0.00029464177,0.00022720169,0.0003081797],"domain_scores_gemma":[0.9969263,0.0022004703,0.00022917186,0.00032417144,0.00021028171,0.000109582776],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00091820356,0.00022527648,0.0004563739,0.000051733983,0.00040711396,0.00023620171,0.00019570449,0.00015604577,0.000002727144],"category_scores_gemma":[0.00032877768,0.00014832083,0.00009027571,0.0000931368,0.0002931193,0.0001486432,0.00007910055,0.00023538734,0.0000018604735],"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":[0.00004809285,0.000018598268,0.00085544185,0.00039876817,0.0001004921,0.000001687679,0.0010243865,0.000024377774,0.0006352025,0.99640346,0.000102937396,0.00038657736],"study_design_scores_gemma":[0.00257975,0.0004907743,0.0024653093,0.0006104063,0.00061425095,0.00017825782,0.045256164,0.9221244,0.000076305114,0.018323468,0.0062363427,0.0010445616],"about_ca_topic_score_codex":0.0004356973,"about_ca_topic_score_gemma":0.00064115034,"teacher_disagreement_score":0.97808,"about_ca_system_score_codex":0.000031894746,"about_ca_system_score_gemma":0.000030567662,"threshold_uncertainty_score":0.6048348},"labels":[],"label_agreement":null},{"id":"W2060080656","doi":"10.3934/dcds.2014.34.5181","title":"Multi-hump solutions of some singularly-perturbed equations of KdV type","year":2014,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","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":"","keywords":"Infinity; Korteweg–de Vries equation; Homoclinic orbit; Type (biology); Zero (linguistics); Mathematical physics; Nonlinear system; Mathematics; Order (exchange); Mathematical analysis; Traveling wave; Physics; Bifurcation; Quantum mechanics","score_opus":0.012524852987406963,"score_gpt":0.24821544331562664,"score_spread":0.23569059032821968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2060080656","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":[0.85027945,0.0004316191,0.14596346,0.00011579328,0.00036338507,0.0003512526,0.0002936231,0.000028084542,0.0021733455],"genre_scores_gemma":[0.9984854,0.0000020297527,0.0004439815,0.000007193132,0.0001763247,0.000007097858,0.000095839794,0.000013050631,0.000769097],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9990809,0.00008325299,0.00035406084,0.00016433628,0.00011325519,0.00020419569],"domain_scores_gemma":[0.99933493,0.0001145895,0.0001522435,0.00021067988,0.00010597565,0.000081589744],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012643944,0.00011613487,0.0003455043,0.00003739739,0.00008733149,0.000028935157,0.00009894997,0.0000525474,0.000013089865],"category_scores_gemma":[0.000028198712,0.00009581338,0.00010316152,0.00008302266,0.000107437714,0.00007135549,0.00004977111,0.00008575325,0.0000029345924],"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":[0.000036764995,0.0004507861,0.020539565,0.00017400563,0.0003369168,6.8056886e-7,0.0007577519,0.00038083855,0.05126712,0.91975415,0.00007365744,0.0062277764],"study_design_scores_gemma":[0.0016164182,0.00031060417,0.0070471303,0.00024383012,0.0001854838,0.0000016709358,0.0017371206,0.98210114,0.00027513938,0.0040678,0.0019642098,0.00044945793],"about_ca_topic_score_codex":0.0009732056,"about_ca_topic_score_gemma":0.000012058939,"teacher_disagreement_score":0.98172027,"about_ca_system_score_codex":0.0000066363978,"about_ca_system_score_gemma":0.000020977452,"threshold_uncertainty_score":0.39071563},"labels":[],"label_agreement":null},{"id":"W2061651034","doi":"10.3934/dcds.2014.34.1465","title":"Remarks on multi-marginal symmetric Monge-Kantorovich problems","year":2013,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":3,"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":"Monotone polygon; Mathematics; Vector field; Quadratic equation; Field (mathematics); Function (biology); Measure (data warehouse); Polar; Positive-definite matrix; Applied mathematics; Pure mathematics; Computer science; Geometry; Physics","score_opus":0.031965655951017566,"score_gpt":0.27768669881952107,"score_spread":0.2457210428685035,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2061651034","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":[0.9335778,0.004507659,0.025406282,0.00039055047,0.0029158797,0.0057930658,0.00036198806,0.00078763673,0.026259178],"genre_scores_gemma":[0.9883062,0.000115716626,0.0011915175,0.000040787778,0.0003943538,0.0006017646,0.00016524518,0.00012228148,0.009062136],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9954609,0.0004144893,0.0011761243,0.0012987917,0.0007720754,0.00087758113],"domain_scores_gemma":[0.9969146,0.000529306,0.0007011929,0.0012107646,0.00024410718,0.00039998462],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007276776,0.0009108493,0.0016589087,0.00040751457,0.0002174262,0.00069241616,0.00077412865,0.0009466722,0.00006118132],"category_scores_gemma":[0.0003048656,0.0007336733,0.00037893036,0.00033863253,0.00013188929,0.000108428896,0.00087058905,0.0013525666,0.00007265583],"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":[0.00038428878,0.0028599377,0.017664412,0.024315882,0.0029986266,0.00037161895,0.002070336,0.0011485586,0.00068296056,0.917747,0.0101321675,0.019624176],"study_design_scores_gemma":[0.0056200596,0.001963486,0.020415818,0.010020959,0.0014273404,0.0003304916,0.0022347774,0.84468323,0.000026197597,0.09453056,0.012450044,0.0062970375],"about_ca_topic_score_codex":0.0016720413,"about_ca_topic_score_gemma":0.00009999993,"teacher_disagreement_score":0.84353465,"about_ca_system_score_codex":0.00015947584,"about_ca_system_score_gemma":0.000047695088,"threshold_uncertainty_score":0.9995114},"labels":[],"label_agreement":null},{"id":"W2069875125","doi":"10.3934/dcds.2006.15.983","title":"Applied equivariant degree, part I: An axiomatic approach to primary degree","year":2006,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Homotopy and Cohomology in Algebraic Topology","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":"University of Alberta","funders":"","keywords":"Equivariant map; Degree (music); Axiom; Mathematics; Axiomatic system; Pure mathematics; Geometry; Physics","score_opus":0.03362152023583136,"score_gpt":0.2628546965497387,"score_spread":0.22923317631390733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2069875125","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":[0.7133194,0.0002783987,0.09421277,0.0002687719,0.0004494834,0.0016721421,0.000052748986,0.00037999934,0.18936627],"genre_scores_gemma":[0.9924109,0.000002602389,0.0038801357,0.00017372762,0.0003638522,0.00037203467,0.00012511922,0.000055643744,0.00261599],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972582,0.00027356905,0.0007831399,0.0006793577,0.00030517206,0.0007005664],"domain_scores_gemma":[0.99863195,0.00020191267,0.00019225528,0.0006470633,0.00004990559,0.00027690694],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005809366,0.00039681589,0.00092269713,0.0001040673,0.00020808438,0.00012545753,0.00039173686,0.00036807434,0.000015578766],"category_scores_gemma":[0.000054999306,0.00031268896,0.00010437314,0.00018473966,0.00018668942,0.00009523279,0.00015902217,0.00025048916,0.000025776742],"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":[0.00007885267,0.00032711847,0.0005536829,0.00029346842,0.00008921827,0.000039357365,0.00032732767,0.000011495851,0.0010704217,0.9930565,0.00092716044,0.0032254483],"study_design_scores_gemma":[0.011988053,0.003502316,0.055356577,0.0009677481,0.0018837845,0.004239663,0.0091660535,0.06536601,0.00031512522,0.8229321,0.016400564,0.007881996],"about_ca_topic_score_codex":0.00037151334,"about_ca_topic_score_gemma":0.000118110285,"teacher_disagreement_score":0.27909148,"about_ca_system_score_codex":0.000068685185,"about_ca_system_score_gemma":0.000033361182,"threshold_uncertainty_score":0.9999325},"labels":[],"label_agreement":null},{"id":"W2079334908","doi":"10.3934/dcds.2009.23.561","title":"Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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":"Degenerate energy levels; Nonlinear system; Generalization; Stability (learning theory); Physics; Diffusion; Rest (music); Mathematical analysis; Traveling wave; Simple (philosophy); Linear stability; Classical mechanics; Mathematics; Quantum mechanics; Computer science","score_opus":0.02427609000760626,"score_gpt":0.24661438094695456,"score_spread":0.22233829093934832,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079334908","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":[0.90802604,0.00030031975,0.090544336,0.000032112443,0.000054409993,0.00074349146,0.00006691074,0.00007706203,0.00015534626],"genre_scores_gemma":[0.9975333,0.00003312336,0.001953495,0.0000066775037,0.00007662029,0.000052801908,0.00003334366,0.000035085744,0.000275556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9979553,0.0002244056,0.0007905196,0.00041316342,0.00029192233,0.00032468207],"domain_scores_gemma":[0.9981701,0.00084336754,0.0003189341,0.00034888592,0.00014083378,0.00017787461],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000500177,0.00028500007,0.000871204,0.000047869795,0.00020232689,0.000039813647,0.00013040153,0.00017011039,0.0000055183236],"category_scores_gemma":[0.00032595822,0.0001872823,0.00006615034,0.00011915365,0.00044838528,0.00007125684,0.00008213748,0.00018922541,0.0000012049356],"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":[0.002325522,0.003059233,0.35075274,0.020230336,0.0018470146,0.00030536568,0.022928584,0.0005157423,0.20707321,0.389737,0.00007354123,0.0011516843],"study_design_scores_gemma":[0.0012981711,0.00041181114,0.0013927763,0.0005162463,0.00014636418,0.00022490989,0.001703393,0.9929237,0.00034644952,0.00060991547,0.000020982849,0.00040532422],"about_ca_topic_score_codex":0.00022351574,"about_ca_topic_score_gemma":0.000038309976,"teacher_disagreement_score":0.9924079,"about_ca_system_score_codex":0.000024898989,"about_ca_system_score_gemma":0.000025633615,"threshold_uncertainty_score":0.7637151},"labels":[],"label_agreement":null},{"id":"W2079569562","doi":"10.3934/dcds.2013.33.3915","title":"Piecewise linear perturbations of a linear center","year":2013,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":154,"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":"Piecewise linear function; Perturbation (astronomy); Upper and lower bounds; Monotone polygon; Singular perturbation; Mathematics; Mathematical analysis; Sigma; Annulus (botany); Center (category theory); Physics; Geometry","score_opus":0.01686417291648531,"score_gpt":0.27330078944076786,"score_spread":0.25643661652428257,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2079569562","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":[0.78742224,0.00021555422,0.20817937,0.00018085606,0.00025998594,0.0010350136,0.00011310917,0.00010953623,0.0024843153],"genre_scores_gemma":[0.99498236,0.000014915297,0.0022031693,0.000018849252,0.00013096358,0.00013741602,0.00006129541,0.000032379507,0.002418664],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9982721,0.00011301667,0.0007277831,0.00030329925,0.0002741974,0.00030960276],"domain_scores_gemma":[0.9987252,0.0002950368,0.00025090747,0.00033407923,0.0002088599,0.00018595713],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012651898,0.00022457306,0.00056896853,0.000069963375,0.00011870195,0.000056620014,0.0001545727,0.00014841554,0.000057126344],"category_scores_gemma":[0.00020095403,0.00016477953,0.00014217629,0.00014031777,0.0001163055,0.00017062887,0.00007917835,0.00014728379,0.000021405813],"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":[0.000105770356,0.0012908541,0.022545572,0.001669217,0.00055875373,0.000011640043,0.0019297006,0.0002976784,0.014932793,0.9423311,0.0012043281,0.013122606],"study_design_scores_gemma":[0.0020362986,0.00032427895,0.003317687,0.00054526277,0.000133966,0.000038884,0.0017131842,0.9578543,0.000040665873,0.031563222,0.0017202239,0.00071208196],"about_ca_topic_score_codex":0.0005706282,"about_ca_topic_score_gemma":0.000032560314,"teacher_disagreement_score":0.95755655,"about_ca_system_score_codex":0.00002909801,"about_ca_system_score_gemma":0.00001180124,"threshold_uncertainty_score":0.6719514},"labels":[],"label_agreement":null},{"id":"W2082412309","doi":"10.3934/dcds.2007.17.529","title":"3-dimensional Hopf bifurcation via averaging theory","year":2007,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","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":"Toronto Metropolitan University","funders":"","keywords":"Hopf bifurcation; Limit (mathematics); Bifurcation; Physics; Attractor; Lorenz system; Singular point of a curve; Invariant (physics); Infinite-period bifurcation; Bifurcation theory; Pitchfork bifurcation; Combinatorics; Mathematical analysis; Mathematics; Mathematical physics; Quantum mechanics; Nonlinear system","score_opus":0.011719744949288761,"score_gpt":0.27620880444069273,"score_spread":0.264489059491404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2082412309","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":[0.39297402,0.00022967273,0.6043263,0.00004137346,0.00032952265,0.00036716493,0.000012284964,0.00012282087,0.001596807],"genre_scores_gemma":[0.9968473,0.0000038434164,0.0012428903,0.000039961695,0.00021208657,0.000029556122,0.00005404305,0.00003721699,0.0015331157],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979486,0.00015885026,0.0006736429,0.00039812052,0.00037521607,0.0004455644],"domain_scores_gemma":[0.99840426,0.00074444397,0.00022801536,0.0002933198,0.00011177632,0.00021817302],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009741277,0.00025294456,0.00044551078,0.000103007704,0.00022753068,0.000096667245,0.00013134278,0.0001664302,0.000021193915],"category_scores_gemma":[0.0001647164,0.00019816292,0.000111427,0.0001642863,0.00010335797,0.00014761093,0.000076201606,0.00019214542,0.00001287174],"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":[0.00013908798,0.0001370491,0.0021210888,0.00017341098,0.000112430964,0.000022660066,0.00033203643,0.00010356738,0.0062666694,0.9678015,0.000056989014,0.022733524],"study_design_scores_gemma":[0.0028823512,0.00033102726,0.007584971,0.00067595893,0.00027190713,0.00026668425,0.0021391348,0.45055482,0.00019975974,0.5317841,0.0016555438,0.0016537481],"about_ca_topic_score_codex":0.00014289691,"about_ca_topic_score_gemma":0.000050145845,"teacher_disagreement_score":0.60387325,"about_ca_system_score_codex":0.00007941681,"about_ca_system_score_gemma":0.000011227496,"threshold_uncertainty_score":0.8080849},"labels":[],"label_agreement":null},{"id":"W2083582003","doi":"10.3934/dcds.2014.34.915","title":"On Volterra integral operators with highly oscillatory kernels","year":2013,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":30,"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":"Division of Mathematical Sciences; Hong Kong Baptist University; Natural Sciences and Engineering Research Council of Canada; Isaac Newton Institute for Mathematical Sciences","keywords":"Volterra integral equation; Uncountable set; Integral equation; Oscillation (cell signaling); Mathematics; Volterra equations; Fourier integral operator; Singular integral; Daniell integral; Focus (optics); Mathematical analysis; Pure mathematics; Nonlinear system; Physics; Quantum mechanics","score_opus":0.012255428098048263,"score_gpt":0.23684684671960757,"score_spread":0.2245914186215593,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2083582003","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":[0.98463166,0.00007088821,0.009399306,0.00012999048,0.00024297366,0.00072452164,0.000018860152,0.00012252902,0.0046592616],"genre_scores_gemma":[0.9961522,0.0000040360032,0.00019117077,0.00006013058,0.00007618127,0.00013989354,0.000018043598,0.00003797765,0.0033203282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99854815,0.00009184671,0.00038055723,0.00035210242,0.00030111425,0.00032622824],"domain_scores_gemma":[0.9991745,0.00013309691,0.00011548664,0.00029514177,0.000105620406,0.00017616515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014010005,0.0002649146,0.00043316753,0.000066906636,0.00016862963,0.00049793365,0.00015532602,0.00011539488,0.000066897126],"category_scores_gemma":[0.000033058128,0.00016127521,0.00006979552,0.00009953103,0.00014324003,0.00019237176,0.000049984163,0.00019417328,0.000040961233],"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":[0.00007743911,0.0002766547,0.004736676,0.000300798,0.00031078543,0.000028364204,0.0010413934,0.00003342608,0.0015123922,0.9801821,0.002690083,0.008809868],"study_design_scores_gemma":[0.017565167,0.012648021,0.016744612,0.0072927456,0.0012211027,0.000707192,0.028191822,0.5898685,0.0004341783,0.29847118,0.017941458,0.008914067],"about_ca_topic_score_codex":0.0012355042,"about_ca_topic_score_gemma":0.000089954265,"teacher_disagreement_score":0.68171096,"about_ca_system_score_codex":0.000044121323,"about_ca_system_score_gemma":0.00002488634,"threshold_uncertainty_score":0.65766126},"labels":[],"label_agreement":null},{"id":"W2084349952","doi":"10.3934/dcds.2002.8.757","title":"Existence and long time behaviour of solutions to obstacle thermistor equations","year":2002,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Stability and Controllability of Differential Equations","field":"Engineering","cited_by":26,"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":"Obstacle; Thermistor; Boundary (topology); Attractor; Mathematics; Omega; Mathematical analysis; Obstacle problem; Series (stratigraphy); State space; Boundary value problem; Applied mathematics; Physics; Statistics","score_opus":0.013755514516638137,"score_gpt":0.20327296909435147,"score_spread":0.18951745457771332,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084349952","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":[0.9626726,0.001343985,0.033842314,0.00021095305,0.00010929313,0.00044752847,0.00011317574,0.00011292013,0.001147237],"genre_scores_gemma":[0.99927765,0.0000124463295,0.00008087706,0.000007999927,0.000026583895,0.000056280885,0.000011121707,0.000013120118,0.0005138985],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9991037,0.000047579084,0.00030917648,0.00018831844,0.0001360282,0.00021516612],"domain_scores_gemma":[0.9994226,0.00015147745,0.000032807526,0.00020187616,0.00005305673,0.00013816617],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010763452,0.0001257188,0.00028065118,0.00004646282,0.00011048843,0.000056003864,0.00008595415,0.000072394534,0.00004833951],"category_scores_gemma":[0.00007313646,0.00012068852,0.00005475694,0.00009414015,0.00009498507,0.00008518613,0.000033090637,0.00007765121,0.000011671636],"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":[0.0002847533,0.0024888655,0.1740756,0.0038216484,0.0020139392,0.000044311328,0.036258396,0.023871044,0.12641305,0.3046209,0.0012660002,0.32484147],"study_design_scores_gemma":[0.00052224635,0.00013430999,0.03208475,0.00009041717,0.000088540466,0.0000074225354,0.0006033603,0.96566325,0.000018434297,0.00036721284,0.00010838674,0.00031164094],"about_ca_topic_score_codex":0.00013812917,"about_ca_topic_score_gemma":0.00012368751,"teacher_disagreement_score":0.94179225,"about_ca_system_score_codex":0.00003345797,"about_ca_system_score_gemma":0.0000034183045,"threshold_uncertainty_score":0.4921535},"labels":[],"label_agreement":null},{"id":"W2084532869","doi":"10.3934/dcds.2009.24.273","title":"Control and stabilization of a family of Boussinesq systems","year":2009,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","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":"Toronto Metropolitan University","funders":"","keywords":"Controllability; Nonlinear system; Control theory (sociology); Mathematics; Zero (linguistics); Mathematical analysis; Control (management); Applied mathematics; Physics; Computer science; Quantum mechanics; Philosophy","score_opus":0.013718673648481419,"score_gpt":0.2728982402700397,"score_spread":0.25917956662155833,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2084532869","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":[0.76330876,0.0013730869,0.23242941,0.00006043864,0.00008435273,0.001091141,0.000071042414,0.000065901106,0.0015158418],"genre_scores_gemma":[0.9991017,0.000021012365,0.0006992194,0.000011723875,0.00003067919,0.00002296146,0.0000063327407,0.00002096388,0.00008542967],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983415,0.000102166974,0.00080322626,0.00025102872,0.00027972632,0.00022235313],"domain_scores_gemma":[0.9986337,0.0003785081,0.00044024162,0.00027480238,0.00017374061,0.00009901415],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00031252558,0.00020114414,0.0008752614,0.000051792,0.000039741302,0.000037492,0.0001028526,0.0001102849,6.053541e-7],"category_scores_gemma":[0.00017771407,0.00015417565,0.00006559141,0.00012518629,0.00015200517,0.00012541864,0.000028013223,0.00009176125,3.1001386e-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":[0.00006927649,0.00015821938,0.00044866482,0.0016019599,0.000066232955,0.0000022357647,0.0003082621,0.00010270902,0.036390536,0.9597421,0.00003279018,0.0010769779],"study_design_scores_gemma":[0.0050994307,0.0014555585,0.0028314586,0.0023463059,0.00047174742,0.000055245724,0.002670005,0.3515113,0.0002882606,0.6322114,0.00013593803,0.0009233818],"about_ca_topic_score_codex":0.00006262771,"about_ca_topic_score_gemma":0.0000017984881,"teacher_disagreement_score":0.35140857,"about_ca_system_score_codex":0.000018524515,"about_ca_system_score_gemma":0.000013241794,"threshold_uncertainty_score":0.62871003},"labels":[],"label_agreement":null},{"id":"W2088407062","doi":"10.3934/dcds.2009.23.541","title":"On the connection formulas of the third Painlevé transcendent","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","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":"Toronto Metropolitan University","funders":"","keywords":"Connection (principal bundle); Mathematical physics; Mathematics; Pure mathematics; Arch; Mathematical analysis; Geometry","score_opus":0.008126186145374489,"score_gpt":0.20993437211529561,"score_spread":0.20180818596992112,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2088407062","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":[0.986822,0.00005123393,0.001951602,0.0004455112,0.00021117926,0.00032668517,0.000060280163,0.000011063867,0.010120408],"genre_scores_gemma":[0.99865675,0.0000036822496,0.0000032212758,0.000034233137,0.00014010278,0.00001712285,0.000009106328,0.000008830158,0.0011269274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99923927,0.000100027486,0.00021133765,0.00013539319,0.00015383742,0.00016014942],"domain_scores_gemma":[0.9995071,0.00012485088,0.00008550878,0.00021122575,0.000029669696,0.000041623392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000085130385,0.000108837055,0.00018836062,0.000010329052,0.00022658934,0.000024205006,0.0001256093,0.00003596664,0.000012870761],"category_scores_gemma":[0.000006042491,0.000052795804,0.00015078422,0.000060666116,0.00011444696,0.000027435368,0.000022042177,0.00013986258,0.0000023066377],"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":[0.00006822111,0.00015811155,0.042299338,0.000040519277,0.00019814707,0.0000026989346,0.0013791737,0.00016237586,0.0018653406,0.9514536,0.0006341092,0.0017383371],"study_design_scores_gemma":[0.01119438,0.0024352304,0.2948007,0.0019521012,0.00077195885,0.00022103665,0.04034581,0.53973734,0.005697716,0.06294569,0.036612034,0.003285994],"about_ca_topic_score_codex":0.0005119384,"about_ca_topic_score_gemma":0.00001584436,"teacher_disagreement_score":0.88850796,"about_ca_system_score_codex":0.000007982769,"about_ca_system_score_gemma":0.000012910229,"threshold_uncertainty_score":0.21529503},"labels":[],"label_agreement":null},{"id":"W2091338835","doi":"10.3934/dcds.2008.20.511","title":"Minimal dynamics for tree maps","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":5,"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":"Corollary; Statement (logic); Tree (set theory); Set (abstract data type); Mathematics; Combinatorics; Discrete mathematics; Dynamics (music); Physics; Computer science","score_opus":0.026490117731130493,"score_gpt":0.27112502141474165,"score_spread":0.24463490368361115,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2091338835","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":[0.76555455,0.000315297,0.21150024,0.0004610708,0.00040568362,0.0017769677,0.00060615415,0.00024905626,0.019131005],"genre_scores_gemma":[0.98903203,0.000025246512,0.0041165208,0.000035751575,0.00016059774,0.00019499715,0.00012024293,0.00006586613,0.0062487563],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99799424,0.000065399116,0.0006930738,0.00043476187,0.0002943649,0.0005181439],"domain_scores_gemma":[0.9983303,0.0007413409,0.00021191155,0.0003676886,0.000110220506,0.00023851563],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00034544824,0.00031761918,0.0007762757,0.000066493485,0.00023590188,0.000091742906,0.00022837715,0.00022719246,0.000010190333],"category_scores_gemma":[0.00031335064,0.00025153536,0.00022509418,0.00010079898,0.00018925106,0.000101901765,0.00008422911,0.0001651477,0.0000065888626],"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":[0.00008534903,0.00016076851,0.0014826987,0.000550547,0.00011551791,0.000035594443,0.00026424578,0.0000020217171,0.00013976435,0.99323004,0.0017748273,0.0021586202],"study_design_scores_gemma":[0.0020947724,0.00050215947,0.00096931774,0.0002457879,0.00018094001,0.00042336906,0.00093125657,0.8209385,0.000009007436,0.16942951,0.0033334482,0.0009419024],"about_ca_topic_score_codex":0.000051617066,"about_ca_topic_score_gemma":0.00008731187,"teacher_disagreement_score":0.82380056,"about_ca_system_score_codex":0.00006095441,"about_ca_system_score_gemma":0.000020895253,"threshold_uncertainty_score":0.9999937},"labels":[],"label_agreement":null},{"id":"W2093171343","doi":"10.3934/dcds.2002.8.55","title":"On the dynamics of a class of quadratic polynomial automorphisms of $\\mathbb C^3$","year":2002,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"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":"Automorphism; Quadratic equation; Mathematics; Class (philosophy); Polynomial; Quadratic function; Dynamics (music); Pure mathematics; Automorphisms of the symmetric and alternating groups; Combinatorics; Discrete mathematics; Mathematical analysis; Physics; Computer science; Geometry","score_opus":0.02195491408473884,"score_gpt":0.2504269023060528,"score_spread":0.22847198822131395,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2093171343","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":[0.94451714,0.00017684567,0.051119126,0.00023320467,0.00021216267,0.0007719768,0.00019559941,0.00003654393,0.0027374066],"genre_scores_gemma":[0.99888164,0.000013449485,0.00025757836,0.000008387251,0.00003248158,0.00003775402,0.000015662174,0.00002806476,0.00072498026],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9976974,0.00022417786,0.0011314832,0.00025474522,0.000436557,0.0002556425],"domain_scores_gemma":[0.9973515,0.0011973542,0.00076427235,0.00048347734,0.00011479109,0.00008856696],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00030623958,0.0002394194,0.0009017384,0.000083698375,0.00007002046,0.000023307231,0.00026617147,0.00016351069,0.00004044035],"category_scores_gemma":[0.000330812,0.00015142451,0.00020960216,0.00020524098,0.00033158195,0.00004910598,0.00006897696,0.00016590803,0.0000020888858],"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":[0.00005317339,0.0002580658,0.00043108457,0.00039884978,0.000121580044,0.0000018358525,0.00038998734,0.0001150797,0.001959277,0.99477285,0.00011217598,0.0013860464],"study_design_scores_gemma":[0.00086640276,0.0005084261,0.00026261428,0.00056921213,0.00012620146,0.000011507138,0.0010386581,0.9740716,0.00008063734,0.022196826,0.000035766112,0.0002321432],"about_ca_topic_score_codex":0.00027604916,"about_ca_topic_score_gemma":0.00009622953,"teacher_disagreement_score":0.9739565,"about_ca_system_score_codex":0.00004727152,"about_ca_system_score_gemma":0.000010748738,"threshold_uncertainty_score":0.61749125},"labels":[],"label_agreement":null},{"id":"W2094358031","doi":"10.3934/dcds.2005.13.339","title":"Structure of a class of traveling waves in delayed cellular neural networks","year":2005,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Cellular Automata and Applications","field":"Computer Science","cited_by":14,"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":"Traveling wave; Monotonic function; Mathematical analysis; Lattice (music); Physics; Mathematics; Plane (geometry); Partition (number theory); Artificial neural network; Complex plane; Computer science; Combinatorics; Geometry; Acoustics","score_opus":0.004314712209468552,"score_gpt":0.2047729388503904,"score_spread":0.20045822664092186,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094358031","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":[0.7504717,0.00072628574,0.24836782,0.000086310894,0.00005131474,0.00017863781,0.000014453018,0.000023236074,0.000080224934],"genre_scores_gemma":[0.99916923,0.000010511448,0.00070091285,0.000013287823,0.00004236105,0.000006062399,0.000017954537,0.0000072952657,0.000032369946],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.998871,0.000062794265,0.00046297032,0.0002521547,0.00014733092,0.00020374208],"domain_scores_gemma":[0.9993916,0.000054153064,0.00015578419,0.00029846333,0.00003708809,0.00006289217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010163947,0.00012069967,0.0003268656,0.000047451304,0.00003158168,0.000046960715,0.0003343975,0.000096374926,0.0000014619197],"category_scores_gemma":[0.0000055620985,0.000101374135,0.000062506435,0.00021571491,0.000060316426,0.00011943677,0.000088838366,0.0001234796,2.0033048e-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":[0.00008234483,0.00029771804,0.016227538,0.0004060727,0.00018022217,0.000034066554,0.003810054,0.114815906,0.48300952,0.28294036,0.000041162417,0.098155044],"study_design_scores_gemma":[0.00028352338,0.000039772152,0.0019518915,0.000036879297,0.00000919167,0.000010626404,0.00010680447,0.99622995,0.0010401454,0.000116969124,0.000063139705,0.000111086396],"about_ca_topic_score_codex":0.00023736036,"about_ca_topic_score_gemma":0.00009646507,"teacher_disagreement_score":0.88141406,"about_ca_system_score_codex":0.000013276388,"about_ca_system_score_gemma":0.000009533957,"threshold_uncertainty_score":0.41339174},"labels":[],"label_agreement":null},{"id":"W2142609915","doi":"10.3934/dcds.2009.25.751","title":"Time transformations for delay differentialequations","year":2009,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":16,"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":"Delay differential equation; Mathematics; Lag; Variable (mathematics); Scalar (mathematics); Constant (computer programming); Function (biology); Differential equation; Mathematical analysis; Time lag; Zero (linguistics); Partial differential equation; Applied mathematics; Superconvergence; Physics; Computer science; Geometry","score_opus":0.023692576414325584,"score_gpt":0.3110207959391485,"score_spread":0.2873282195248229,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2142609915","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":[0.112897925,0.00008529918,0.8835916,0.00070575014,0.00015655551,0.0011399008,0.00017603935,0.00017916919,0.0010677886],"genre_scores_gemma":[0.9792145,0.000008298747,0.018755056,0.000047732894,0.00011830864,0.00019503884,0.00014988017,0.000026167121,0.001485031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848825,0.0001417639,0.0005622772,0.00026279787,0.0002087748,0.00033614304],"domain_scores_gemma":[0.99873316,0.00062109926,0.0001380559,0.00023807552,0.000102170605,0.00016741685],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002527517,0.00021151875,0.00046738956,0.000081736966,0.00026449515,0.00013323975,0.00014800839,0.00012824847,0.00002369764],"category_scores_gemma":[0.0002765401,0.00017231378,0.00018327186,0.00013989328,0.00007254949,0.00015491134,0.000013632237,0.000118628086,0.000009240641],"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":[0.00008474945,0.0003856893,0.000057065656,0.0001776289,0.00019523897,0.0000019198208,0.00096247904,0.00003472852,0.007922104,0.9099194,0.0005509924,0.079708025],"study_design_scores_gemma":[0.0017428318,0.0005885183,0.00086961384,0.00014996431,0.00047659915,0.000026780543,0.00036045717,0.30555,0.00007306502,0.6875007,0.001985978,0.0006754547],"about_ca_topic_score_codex":0.00001583575,"about_ca_topic_score_gemma":0.00000822571,"teacher_disagreement_score":0.86631656,"about_ca_system_score_codex":0.000034788827,"about_ca_system_score_gemma":0.000013758819,"threshold_uncertainty_score":0.7026752},"labels":[],"label_agreement":null},{"id":"W2145121200","doi":"10.3934/dcds.2017049","title":"Ergodic properties of folding maps on spheres","year":2016,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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":"Ergodic theory; SPHERES; Folding (DSP implementation); Statistical physics; Mathematics; Classical mechanics; Physics; Pure mathematics; Engineering; Mechanical engineering","score_opus":0.026867938692274777,"score_gpt":0.2532148620086252,"score_spread":0.22634692331635042,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145121200","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":[0.9841326,0.00030295667,0.009181627,0.00018802566,0.00013274845,0.00043044373,0.000052228945,0.000070692455,0.005508677],"genre_scores_gemma":[0.99761736,0.000024233776,0.00020600203,0.00001405286,0.000054829154,0.00003680019,0.0000016962134,0.00003060192,0.0020144111],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99854344,0.00008613475,0.0005383513,0.00026322523,0.00028586178,0.000283013],"domain_scores_gemma":[0.998973,0.0003519816,0.00019896466,0.00030182282,0.000060543796,0.00011370475],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025500086,0.00020207555,0.0005601473,0.00004359043,0.00005566361,0.00005010837,0.00015810838,0.000119276396,0.000028173648],"category_scores_gemma":[0.00032441088,0.00010464206,0.000110679335,0.000059343067,0.00014319723,0.00007195201,0.000069591704,0.00007820381,0.000008777684],"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":[0.00008286199,0.0001226304,0.0010987017,0.0008052953,0.000099384706,0.000008582277,0.00015804102,9.209421e-7,0.031060291,0.9612686,0.0002965007,0.00499817],"study_design_scores_gemma":[0.010111197,0.0036168653,0.0019917842,0.033659372,0.0008206266,0.00026080245,0.008436151,0.08572922,0.011606861,0.83390504,0.0053216773,0.0045403903],"about_ca_topic_score_codex":0.0000553508,"about_ca_topic_score_gemma":0.00002028601,"teacher_disagreement_score":0.12736356,"about_ca_system_score_codex":0.000025388654,"about_ca_system_score_gemma":0.000009332596,"threshold_uncertainty_score":0.4267179},"labels":[],"label_agreement":null},{"id":"W2153237059","doi":"10.3934/dcds.2009.23.281","title":"Multiscale analysis for convection dominated transport equations","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":8,"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":"Convection–diffusion equation; Péclet number; Convection; Nonlinear system; Physics; Flow (mathematics); Operator (biology); Statistical physics; Mathematical analysis; Mathematics; Applied mathematics; Mechanics","score_opus":0.012911018214245047,"score_gpt":0.23591427922695682,"score_spread":0.22300326101271178,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2153237059","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":[0.05870401,0.00010479837,0.94029963,0.000044175504,0.0001341583,0.0003418741,0.000013468262,0.00019261897,0.0001652369],"genre_scores_gemma":[0.9785201,0.00000695101,0.020932345,0.000009530107,0.000026538548,0.00012237242,0.000021904949,0.000010299172,0.00034994975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989857,0.00002049928,0.0003194663,0.0003100933,0.00014305128,0.00022120615],"domain_scores_gemma":[0.999311,0.0002080709,0.00006601384,0.00023949688,0.00007627509,0.00009915644],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012959004,0.00012802811,0.00033778534,0.00009612789,0.00014415053,0.000034762277,0.00017799,0.000070938906,7.037569e-7],"category_scores_gemma":[0.000049073915,0.00011128639,0.00012524474,0.0002962736,0.0000462888,0.00019852782,0.000023650251,0.00007151473,0.0000014918668],"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":[0.000043965007,0.00019136062,0.0045728195,0.0003295992,0.0009494443,0.000037766753,0.0022163906,0.3593249,0.003647565,0.62524176,0.000027859809,0.003416541],"study_design_scores_gemma":[0.00032544584,0.00003867127,0.0009763588,0.000018160003,0.000076766075,0.0000133431095,0.000029342576,0.99766475,0.000024470804,0.000615215,0.00006260972,0.00015489265],"about_ca_topic_score_codex":0.00004075563,"about_ca_topic_score_gemma":0.000009623968,"teacher_disagreement_score":0.9198161,"about_ca_system_score_codex":0.000026869324,"about_ca_system_score_gemma":0.000007437699,"threshold_uncertainty_score":0.45381275},"labels":[],"label_agreement":null},{"id":"W2154742871","doi":"10.3934/dcds.2011.29.1309","title":"Investigating the consequences of global bifurcationsfor two-dimensional invariant manifolds of vector fields","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Homoclinic orbit; Vector field; Numerical continuation; Stable manifold; Manifold (fluid mechanics); Bifurcation; Homoclinic bifurcation; Invariant manifold; Heteroclinic bifurcation; Invariant (physics); Periodic orbits; Center manifold; Mathematics; Pure mathematics; Mathematical analysis; Physics; Saddle-node bifurcation; Hopf bifurcation; Geometry; Mathematical physics; Nonlinear system","score_opus":0.008577574080709482,"score_gpt":0.23812558367325645,"score_spread":0.22954800959254698,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2154742871","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":[0.96729463,0.00006364762,0.030656654,0.0008932422,0.0003689566,0.00020092545,0.000054428278,0.000019633182,0.00044786467],"genre_scores_gemma":[0.997991,0.000001317648,0.0018576588,0.00006402034,0.000041404244,0.00000947769,0.000012991066,0.000002961263,0.000019124158],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9990482,0.000069957336,0.0003834903,0.0001565739,0.0002106523,0.00013113381],"domain_scores_gemma":[0.999217,0.000117469,0.00024064069,0.0002584245,0.00010820133,0.00005831783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003383961,0.00009436991,0.00018818988,0.000019429697,0.00008699696,0.00008170004,0.00035330694,0.00006834654,0.0000021183455],"category_scores_gemma":[0.00004537106,0.000061302635,0.00004862878,0.0001523245,0.00019825764,0.00014724386,0.00011215573,0.00012230552,0.000001008599],"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":[0.000004451716,0.000028256614,0.03424238,0.00008460318,0.0000397386,0.000001819263,0.0003494729,0.00038601205,0.02033202,0.9421257,0.000019718214,0.0023858761],"study_design_scores_gemma":[0.00033186292,0.000100599485,0.023271129,0.000103882696,0.000017557844,0.00008353162,0.000115116614,0.96824336,0.00040558033,0.0071434868,0.00003363776,0.00015027338],"about_ca_topic_score_codex":0.0013847961,"about_ca_topic_score_gemma":0.0003731282,"teacher_disagreement_score":0.9678573,"about_ca_system_score_codex":0.000008279917,"about_ca_system_score_gemma":0.00005503753,"threshold_uncertainty_score":0.24998489},"labels":[],"label_agreement":null},{"id":"W2159229261","doi":"10.3934/dcds.2003.9.633","title":"Analysis of a linear fluid-structure interaction problem","year":2003,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":156,"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":"Uniqueness; Integrable system; Fluid–structure interaction; Divergence (linguistics); Field (mathematics); Mathematics; Physics; Mathematical analysis; Pure mathematics; Thermodynamics; Finite element method","score_opus":0.019618097904354082,"score_gpt":0.3005441154794389,"score_spread":0.2809260175750848,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2159229261","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":[0.92301846,0.00023523731,0.07262738,0.000050745493,0.0001805305,0.0004982064,0.00015659226,0.000068493384,0.0031643512],"genre_scores_gemma":[0.99750996,0.000007348822,0.0016386147,0.0000096952635,0.000026457863,0.000024426152,0.00005820865,0.000015910235,0.000709374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985641,0.00020618651,0.00057002244,0.00024037658,0.00023147128,0.00018779402],"domain_scores_gemma":[0.9990193,0.00020953541,0.00027126403,0.00027324463,0.00014276944,0.00008388154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025859624,0.0001506659,0.0005370293,0.0001866201,0.000084611755,0.000039443097,0.00008448715,0.0001238228,0.000043934855],"category_scores_gemma":[0.00020709238,0.0001233726,0.00016462653,0.0005531744,0.00005901703,0.000101130885,0.000022479779,0.00013357932,0.0000020001821],"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":[0.000087567154,0.00027697263,0.035939973,0.0006793038,0.0041524903,0.000010575643,0.003178507,0.0022116052,0.02028878,0.93084437,0.00045514418,0.0018747068],"study_design_scores_gemma":[0.0024054232,0.00039001546,0.0039234604,0.00049417856,0.0072122267,0.00010825469,0.0066553494,0.94249696,0.00070646673,0.023929412,0.010400733,0.0012775168],"about_ca_topic_score_codex":0.0001327626,"about_ca_topic_score_gemma":0.00011514563,"teacher_disagreement_score":0.9402854,"about_ca_system_score_codex":0.000047337107,"about_ca_system_score_gemma":0.00001669583,"threshold_uncertainty_score":0.50309885},"labels":[],"label_agreement":null},{"id":"W2290272057","doi":"10.3934/dcds.2017088","title":"Long-time stability of small FPU solitary waves","year":2017,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","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":"McMaster University","funders":"","keywords":"Korteweg–de Vries equation; Sobolev space; Mathematics; Amplitude; Logarithm; Mathematical analysis; Bounded function; Anharmonicity; Stability (learning theory); Nonlinear system; Mathematical physics; Physics; Quantum mechanics","score_opus":0.033737913180142146,"score_gpt":0.2920972107914057,"score_spread":0.2583592976112636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2290272057","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":[0.885127,0.001662532,0.09546507,0.0001904865,0.000576808,0.003152739,0.0007206112,0.00029692863,0.012807831],"genre_scores_gemma":[0.99377406,0.000045299115,0.004519743,0.000007438649,0.00017890903,0.00016076195,0.000120520286,0.000108537686,0.0010847145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9964508,0.00024643357,0.0013421591,0.0009073523,0.0004783983,0.0005748477],"domain_scores_gemma":[0.9954427,0.00085028965,0.0012157336,0.001960822,0.00026795347,0.00026251475],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00080944155,0.0006506472,0.0021889943,0.00006162541,0.0001481903,0.00017340419,0.0008284199,0.00056646165,0.0000193791],"category_scores_gemma":[0.00066744094,0.00053466804,0.00041644185,0.000041232142,0.0005803973,0.000121769386,0.0014558744,0.0007886382,0.000009981364],"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":[0.0005220393,0.0024893095,0.0062988806,0.08166735,0.003079409,0.00016862167,0.004692538,0.00028966754,0.00853221,0.88176876,0.000755267,0.009735945],"study_design_scores_gemma":[0.0005858317,0.00014186114,0.00034465556,0.0024279319,0.00036552086,0.000016584354,0.00022534194,0.041279495,0.00020140673,0.95350116,0.000031161275,0.0008790223],"about_ca_topic_score_codex":0.00024977204,"about_ca_topic_score_gemma":0.000036951475,"teacher_disagreement_score":0.108647086,"about_ca_system_score_codex":0.00009677241,"about_ca_system_score_gemma":0.000073362455,"threshold_uncertainty_score":0.9997105},"labels":[],"label_agreement":null},{"id":"W2313199121","doi":"10.3934/dcds.2008.21.1221","title":"Unfolding of resonant saddles and the Dulac time","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","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":"Toronto Metropolitan University","funders":"","keywords":"Saddle; Mathematics; Conjugacy class; Saddle point; Equivalence relation; Planar; Mathematical analysis; Function (biology); Piecewise; Pure mathematics; Geometry; Computer science; Mathematical optimization","score_opus":0.01509185670863836,"score_gpt":0.24641045052631622,"score_spread":0.23131859381767786,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2313199121","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":[0.9640762,0.0013276524,0.03216888,0.00018713885,0.00010104087,0.00061930326,0.00003872236,0.0000575575,0.001423497],"genre_scores_gemma":[0.9977131,0.00009836821,0.00031731586,0.000011950311,0.00006070898,0.00003886195,0.000008952189,0.00001998243,0.0017307551],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99850744,0.00018851491,0.0005756782,0.00024100296,0.00025692888,0.0002304066],"domain_scores_gemma":[0.9987174,0.00061319506,0.00023730996,0.0002496861,0.000086810556,0.00009556511],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002875907,0.00018048352,0.00063092564,0.000031138217,0.00021493253,0.000039713676,0.00012005995,0.00009792146,0.000005803457],"category_scores_gemma":[0.00026497678,0.0001027298,0.000098490695,0.00009884193,0.00045502943,0.00007241035,0.00009020061,0.00011174312,0.0000021722258],"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":[0.00016924992,0.000055237022,0.0018548075,0.00023756878,0.0001149059,0.000011489799,0.0007687755,0.000011700739,0.0018346652,0.9927407,0.00010247828,0.0020984286],"study_design_scores_gemma":[0.007414289,0.00031250465,0.0041685146,0.0010521245,0.00033468098,0.00050234253,0.002443262,0.87857413,0.000057521465,0.10333781,0.000850747,0.0009520682],"about_ca_topic_score_codex":0.0002999241,"about_ca_topic_score_gemma":0.000020564048,"teacher_disagreement_score":0.88940287,"about_ca_system_score_codex":0.00001633833,"about_ca_system_score_gemma":0.000009612817,"threshold_uncertainty_score":0.41891995},"labels":[],"label_agreement":null},{"id":"W2315410718","doi":"10.3934/dcds.2006.16.923","title":"Applied equivariant degree. part II: Symmetric Hopf bifurcations of functional differential equations","year":2006,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":17,"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":"Equivariant map; Mathematics; Hopf bifurcation; Invariant (physics); Pure mathematics; Degree (music); Mathematical analysis; Homogeneous space; Bifurcation; Physics; Mathematical physics; Nonlinear system; Geometry","score_opus":0.032457827667622376,"score_gpt":0.25592214711431877,"score_spread":0.2234643194466964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2315410718","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":[0.22468042,0.00024345376,0.7666967,0.00007229264,0.00050590944,0.00080491544,0.00022775562,0.00013180924,0.006636731],"genre_scores_gemma":[0.9957722,0.0000068767836,0.000501208,0.0000063196994,0.0003633486,0.00022778753,0.0004139861,0.00003968307,0.0026686015],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9973367,0.000117649426,0.0011255014,0.00046536943,0.0005335378,0.0004212837],"domain_scores_gemma":[0.9981429,0.000644599,0.00047591075,0.00040655874,0.0001773535,0.00015270861],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00021262954,0.0003182217,0.0007058413,0.00022772947,0.0003892542,0.0000999305,0.00017662857,0.00020775262,0.000064713204],"category_scores_gemma":[0.0001653537,0.00025916274,0.00018860036,0.00044832515,0.00016794018,0.0001173741,0.00013610751,0.00018249438,0.0000067323585],"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":[0.00003548624,0.00031759238,0.00032213793,0.000121702265,0.000087575536,0.0000011846081,0.000039883096,0.0003252339,0.0031947242,0.9941272,0.00020131771,0.0012259779],"study_design_scores_gemma":[0.0058763693,0.00060448266,0.018401243,0.00059027266,0.0010560221,0.00005178878,0.0012518697,0.6998223,0.00014372915,0.26776874,0.002400129,0.0020330797],"about_ca_topic_score_codex":0.00054448954,"about_ca_topic_score_gemma":0.00013793213,"teacher_disagreement_score":0.77109176,"about_ca_system_score_codex":0.00007449368,"about_ca_system_score_gemma":0.000034835673,"threshold_uncertainty_score":0.99998605},"labels":[],"label_agreement":null},{"id":"W2315559961","doi":"10.3934/dcds.2012.32.3303","title":"Traveling waves of diffusive predator-prey systems: Disease outbreak propagation","year":2012,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":144,"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":"Traveling wave; Laplace transform; Wave speed; Reaction–diffusion system; Ordinary differential equation; Mathematical analysis; Mathematics; Fixed-point theorem; Schauder fixed point theorem; Basic reproduction number; Physics; Differential equation; Picard–Lindelöf theorem; Population","score_opus":0.013079069065881804,"score_gpt":0.2588791161096005,"score_spread":0.24580004704371872,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2315559961","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":[0.9413163,0.002472341,0.05204541,0.000281287,0.00027782962,0.00088175415,0.00005276595,0.000052962492,0.0026193603],"genre_scores_gemma":[0.99887866,0.000050996656,0.000047746795,0.000064466025,0.0001837268,0.00009080324,0.000059110993,0.000016078931,0.0006084213],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9983437,0.00022222914,0.00062819134,0.0002430062,0.0001619431,0.00040090384],"domain_scores_gemma":[0.9986991,0.00034433327,0.00017347308,0.00022322225,0.00008528399,0.00047454206],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006103434,0.00019092341,0.0007736185,0.000035338766,0.00007772709,0.0000141928695,0.000066040186,0.00020795448,0.000023401872],"category_scores_gemma":[0.0004796447,0.00012379924,0.000118309035,0.00005602034,0.00031524381,0.0000943525,0.00005132593,0.00017619913,0.0000088675115],"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":[0.0004952755,0.00033912432,0.08626658,0.002157484,0.00023171664,0.000012512506,0.00050242135,0.000033905035,0.00077488174,0.90868336,0.000040340634,0.00046239287],"study_design_scores_gemma":[0.0030116003,0.00078146573,0.118009046,0.0022219787,0.001387119,0.00024155791,0.0027099324,0.859775,0.0000926751,0.010760922,0.00027469752,0.0007340199],"about_ca_topic_score_codex":0.000043928878,"about_ca_topic_score_gemma":9.842751e-7,"teacher_disagreement_score":0.89792246,"about_ca_system_score_codex":0.000020493942,"about_ca_system_score_gemma":0.000019512036,"threshold_uncertainty_score":0.50483865},"labels":[],"label_agreement":null},{"id":"W2316708678","doi":"10.3934/dcds.2014.34.99","title":"Analysis of a degenerate biofilm model with a nutrient taxis term","year":2013,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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":"University of Guelph","funders":"","keywords":"Degenerate energy levels; Uniqueness; Taxis; Chemotaxis; Term (time); Diffusion; Applied mathematics; Biofilm; Zero (linguistics); Mathematics; Parabolic partial differential equation; Mathematical analysis; Physics; Partial differential equation; Thermodynamics; Biology","score_opus":0.01306886327153829,"score_gpt":0.24373059833467023,"score_spread":0.23066173506313195,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2316708678","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":[0.94147515,0.0001010349,0.056106143,0.00007789531,0.00001917454,0.00064287597,0.00007923788,0.000058120146,0.0014403583],"genre_scores_gemma":[0.9965891,0.0000063566335,0.0022892004,0.00001995681,0.000015328245,0.00018952288,0.000029893246,0.000022179223,0.0008384677],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99836427,0.00010450322,0.00059438567,0.00036345285,0.00023918929,0.00033418764],"domain_scores_gemma":[0.9987911,0.00021038952,0.00027645828,0.00041296225,0.00013871564,0.00017036907],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00022102633,0.0002451734,0.00096605974,0.00015953291,0.000055200115,0.00006248899,0.00018479775,0.00013199878,0.000032176235],"category_scores_gemma":[0.00007389182,0.00015090722,0.00015337845,0.000388068,0.00020158172,0.000072538234,0.00007561532,0.00011587905,0.0000047699186],"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":[0.00016837871,0.00065958936,0.05975042,0.0014499085,0.005097043,0.000030649942,0.0015572605,0.0003074377,0.019870514,0.9097846,0.00040629916,0.00091786153],"study_design_scores_gemma":[0.00062902307,0.00024263609,0.0020670507,0.00014598052,0.0012761831,0.00001934802,0.00042274254,0.98114336,0.00024294564,0.013440212,0.0000065586046,0.00036393656],"about_ca_topic_score_codex":0.00019178685,"about_ca_topic_score_gemma":0.000041016534,"teacher_disagreement_score":0.980836,"about_ca_system_score_codex":0.000023795961,"about_ca_system_score_gemma":0.000015077541,"threshold_uncertainty_score":0.6153818},"labels":[],"label_agreement":null},{"id":"W2325754099","doi":"10.3934/dcds.2014.34.5165","title":"On a Keller-Segel system with logarithmic sensitivity and non-diffusive chemical","year":2014,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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":"Toronto Metropolitan University","funders":"","keywords":"Logarithm; Sensitivity (control systems); Mathematics; Statistical physics; Mathematical analysis; Physics; Applied mathematics","score_opus":0.005338017438182029,"score_gpt":0.2143028311741467,"score_spread":0.20896481373596468,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2325754099","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":[0.960347,0.000025585186,0.03174202,0.00012638781,0.000076962504,0.0007350216,0.000032448876,0.00016117068,0.006753395],"genre_scores_gemma":[0.9988975,0.0000012947168,0.00058906054,0.000050479022,0.00010143735,0.000071422684,0.000012326819,0.00004399065,0.00023251609],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9978965,0.00032305619,0.00044031374,0.00059991627,0.000281944,0.0004582936],"domain_scores_gemma":[0.9975042,0.001550877,0.00020059035,0.00040142643,0.00007572227,0.0002672127],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006409118,0.00038530587,0.0009481894,0.000058508413,0.00012162791,0.00009635918,0.00011384461,0.0002494361,0.0000029945306],"category_scores_gemma":[0.00031265788,0.00025356383,0.00007262568,0.00008661681,0.00033163445,0.00004954847,0.00011779793,0.00031498182,0.000012488643],"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":[0.00032682277,0.00020500926,0.0027559963,0.0022281168,0.00022083624,0.00016749278,0.00047897935,0.0000026820503,0.009891212,0.98284125,0.00021643817,0.0006651403],"study_design_scores_gemma":[0.010487797,0.003324963,0.005292714,0.0059787855,0.00080378464,0.0042897435,0.0043401397,0.9206337,0.0016401213,0.039597046,0.00019933653,0.0034118656],"about_ca_topic_score_codex":0.00007645069,"about_ca_topic_score_gemma":0.000024523957,"teacher_disagreement_score":0.9432442,"about_ca_system_score_codex":0.000055618915,"about_ca_system_score_gemma":0.000011212825,"threshold_uncertainty_score":0.99999166},"labels":[],"label_agreement":null},{"id":"W2326660287","doi":"10.3934/dcds.2013.33.2007","title":"The diffusive logistic model with a free boundary and seasonalsuccession","year":2012,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":112,"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":"Priority Academic Program Development of Jiangsu Higher Education Institutions; Program for New Century Excellent Talents in University; Natural Sciences and Engineering Research Council of Canada; Mitacs; National Natural Science Foundation of China; National Science Foundation","keywords":"Ecological succession; Logistic function; Infinity; Mathematics; Interval (graph theory); Mathematical analysis; Boundary (topology); Statistical physics; Statistics; Ecology; Physics; Biology; Combinatorics","score_opus":0.014669239415809127,"score_gpt":0.26879619459463855,"score_spread":0.25412695517882944,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2326660287","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":[0.89609,0.004488907,0.087205246,0.003798042,0.00009229214,0.0005050391,0.000018359808,0.0000497688,0.007752354],"genre_scores_gemma":[0.9980286,0.00012037659,0.00015852685,0.00031966006,0.00008154264,0.0000596363,0.000008576153,0.000011233205,0.0012118984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989189,0.00011415299,0.00024508644,0.00019653158,0.000119979835,0.0004053385],"domain_scores_gemma":[0.99872214,0.0006421709,0.00006795893,0.0002131826,0.000037851732,0.00031669764],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005081483,0.00015599413,0.0004373906,0.000013508737,0.00031222173,0.000035031608,0.00007291857,0.00015695427,0.000007589074],"category_scores_gemma":[0.00031506162,0.00006953286,0.000042349842,0.000034780343,0.00085320947,0.000058861024,0.00009769754,0.00022797007,0.0000029520058],"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":[0.00045564037,0.00008695906,0.02646669,0.00018130723,0.00010910239,0.00001109585,0.00016490881,0.000011106331,0.000045594756,0.9713262,0.00017066803,0.0009707632],"study_design_scores_gemma":[0.0017864405,0.0005042169,0.018586999,0.0003534701,0.00035595844,0.0005208714,0.0005952926,0.90344363,0.0000024119715,0.07292239,0.0006401882,0.00028811235],"about_ca_topic_score_codex":0.000021222444,"about_ca_topic_score_gemma":0.000008176092,"teacher_disagreement_score":0.90343255,"about_ca_system_score_codex":0.000012167727,"about_ca_system_score_gemma":0.00001615384,"threshold_uncertainty_score":0.31436858},"labels":[],"label_agreement":null},{"id":"W2329933692","doi":"10.3934/dcds.2014.34.3437","title":"On a generalized maximum principle for a transport-diffusion model with $\\log$-modulated fractional dissipation","year":2014,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","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":"","keywords":"Dissipation; Diffusion; Physics; Statistical physics; Mathematics; Maximum principle; Fractional calculus; Mathematical analysis; Mathematical physics; Classical mechanics; Applied mathematics; Thermodynamics; Mathematical optimization","score_opus":0.02273946016642536,"score_gpt":0.2934949670205652,"score_spread":0.27075550685413985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2329933692","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":[0.48209745,0.000011029827,0.5165125,0.0001385203,0.00006084841,0.0006902018,0.00008665349,0.00007945906,0.00032332042],"genre_scores_gemma":[0.9928105,0.000002698728,0.004704535,0.000048692986,0.000076222546,0.00039625927,0.00033653897,0.000044665336,0.001579909],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9984038,0.00010332723,0.0004698113,0.00038553812,0.0003515582,0.0002859751],"domain_scores_gemma":[0.99891126,0.00028173704,0.00023729322,0.00028217727,0.0001472727,0.00014027511],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032377578,0.00023061564,0.00041915855,0.00007780608,0.0002420445,0.000054385706,0.000096534866,0.00016108132,0.000008249002],"category_scores_gemma":[0.0001144217,0.00017329669,0.00010408896,0.00010666459,0.000057898884,0.00011786126,0.000014318272,0.00013428892,0.0000025866643],"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":[0.0010040638,0.0004006445,0.0022673646,0.0003383655,0.00016079305,0.0000027571841,0.00053678895,0.019195568,0.003661986,0.9706508,0.00021457979,0.0015662871],"study_design_scores_gemma":[0.0021744524,0.0002494825,0.0010223616,0.00013355483,0.00010044338,0.000009519893,0.000039827803,0.9547899,0.0000109612265,0.040605903,0.0006007797,0.00026286294],"about_ca_topic_score_codex":0.00008252596,"about_ca_topic_score_gemma":0.00009525686,"teacher_disagreement_score":0.93559426,"about_ca_system_score_codex":0.000073373354,"about_ca_system_score_gemma":0.000026977874,"threshold_uncertainty_score":0.7066834},"labels":[],"label_agreement":null},{"id":"W2332150228","doi":"10.3934/dcds.2012.32.619","title":"The periodic-parabolic logistic equation on $\\mathbb{R}^N$","year":2011,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","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":"Memorial University of Newfoundland","funders":"National Natural Science Foundation of China; National Science Foundation","keywords":"Uniqueness; Physics; Combinatorics; Bounded function; Sign (mathematics); Space (punctuation); Infinity; Mathematical physics; Mathematical analysis; Mathematics","score_opus":0.03147598611766996,"score_gpt":0.24359851040648237,"score_spread":0.2121225242888124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2332150228","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":[0.014789483,0.00046153174,0.9789651,0.00007987524,0.0003475995,0.00023659751,0.0000014241084,0.00019325895,0.004925144],"genre_scores_gemma":[0.99500984,0.000027780581,0.004625245,0.00003202984,0.00004562705,0.00006109483,0.0000011871122,0.000012888875,0.0001843075],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988474,0.000051606876,0.00029223933,0.00028985552,0.00021536584,0.00030353587],"domain_scores_gemma":[0.99910855,0.00022992035,0.00007927951,0.00044248733,0.000037567486,0.00010220602],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024767668,0.00015545901,0.00020683695,0.000029037541,0.00020129672,0.00020017,0.00045448384,0.00006205534,7.3634357e-7],"category_scores_gemma":[0.00012053393,0.000098172466,0.000045543937,0.0000964206,0.000086764274,0.000118218115,0.00010937384,0.00014275777,0.000018888682],"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":[0.0000064698283,0.0000156253,0.000038279693,0.00001969166,0.000010981958,0.0000057934512,0.00037957152,0.0012026951,0.000072630035,0.9902416,0.0000056102167,0.0080010835],"study_design_scores_gemma":[0.00012950311,0.000095623465,0.00030256997,0.00006731839,0.000006671755,0.000016605176,0.00008600559,0.9822702,0.000011717387,0.016547047,0.00030721808,0.00015956309],"about_ca_topic_score_codex":0.000029661622,"about_ca_topic_score_gemma":0.0000026566056,"teacher_disagreement_score":0.9810675,"about_ca_system_score_codex":0.000027320739,"about_ca_system_score_gemma":0.000008325491,"threshold_uncertainty_score":0.4003357},"labels":[],"label_agreement":null},{"id":"W2334135185","doi":"10.3934/dcds.2015.35.4455","title":"Optimal control of differential inclusions on manifolds","year":2015,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Optimization and Variational Analysis","field":"Computer Science","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":"Queen's University","funders":"","keywords":"Differential inclusion; Mathematics; Optimal control; Dynamical systems theory; Hamiltonian system; Metric (unit); Hamiltonian (control theory); Applied mathematics; Euler's formula; Mathematical optimization; Mathematical analysis; Physics","score_opus":0.008518846006722945,"score_gpt":0.2259003894822431,"score_spread":0.21738154347552016,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2334135185","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":[0.09871633,0.00006966126,0.89872634,0.0005592259,0.00021614457,0.00014808704,0.000025238976,0.000050248527,0.0014886986],"genre_scores_gemma":[0.99831456,0.0000041789685,0.0010499809,0.000069676535,0.000055059805,0.000011015271,0.000017258693,0.000005374861,0.0004729105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988808,0.00011134725,0.00029602155,0.00023861552,0.00032526243,0.00014793749],"domain_scores_gemma":[0.9992846,0.0000686531,0.00012475096,0.000218669,0.00013819528,0.00016510104],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00015902784,0.000113926326,0.00029104075,0.00007881349,0.00007283731,0.0001104834,0.0002729598,0.00006644012,0.0000061002966],"category_scores_gemma":[0.000036721252,0.00008539622,0.00007531541,0.00015875141,0.000033399094,0.00012062048,0.00012720261,0.00006457075,0.0000055100318],"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":[0.00008283537,0.00020051481,0.0048893853,0.000023533908,0.0001840771,0.000011187276,0.0005467386,0.026903566,0.00041903576,0.96508324,0.00026560028,0.0013903026],"study_design_scores_gemma":[0.0008712041,0.00016008185,0.0021598546,0.000020546408,0.000027946615,0.0000057305288,0.0000863914,0.9961141,0.0000069456605,0.00020923038,0.00022092252,0.00011709614],"about_ca_topic_score_codex":0.00014312014,"about_ca_topic_score_gemma":0.0000044821845,"teacher_disagreement_score":0.9692105,"about_ca_system_score_codex":0.000022354254,"about_ca_system_score_gemma":0.000021390466,"threshold_uncertainty_score":0.34823567},"labels":[],"label_agreement":null},{"id":"W2335069839","doi":"10.3934/dcds.2008.21.187","title":"Superposition of selfdual functionals in non-homogeneous boundary value problems and differential systems","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","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 British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Boundary value problem; Superposition principle; Nonlinear system; Dissipative system; Mathematical analysis; Mathematics; Hamiltonian system; Physics","score_opus":0.005933444090462337,"score_gpt":0.19909643044425696,"score_spread":0.1931629863537946,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2335069839","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":[0.9873785,0.0010316136,0.009171666,0.00002560961,0.00045734653,0.00082084024,0.0002557062,0.000029811206,0.0008288993],"genre_scores_gemma":[0.9989716,0.000029717581,0.000010979491,0.000004838417,0.00029669248,0.00012801014,0.00019070572,0.000030745916,0.0003367083],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99783134,0.00017057586,0.0007884882,0.0004741299,0.00033366328,0.00040177113],"domain_scores_gemma":[0.9992181,0.0000973784,0.00021749943,0.00020279996,0.00007932193,0.00018491129],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00019433447,0.0003072218,0.00078757864,0.00010001761,0.00018570507,0.00011582031,0.00011159294,0.00014412585,0.000012448111],"category_scores_gemma":[0.0000040124755,0.0002527158,0.00011686998,0.00014340838,0.0002160073,0.0001471807,0.00008083011,0.00019913095,0.0000027735834],"study_design_candidate":"observational","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":[0.00033414073,0.0008473435,0.83686453,0.001453869,0.00063899474,0.000079045276,0.0024330518,0.002943482,0.023895053,0.12802435,0.00016997498,0.0023161364],"study_design_scores_gemma":[0.004154533,0.00077604805,0.14229181,0.001125838,0.0001456662,0.00031611577,0.0022546477,0.8459933,0.000053528074,0.0010413557,0.0006938267,0.0011533301],"about_ca_topic_score_codex":0.0061728153,"about_ca_topic_score_gemma":0.000027299058,"teacher_disagreement_score":0.8430498,"about_ca_system_score_codex":0.00003498357,"about_ca_system_score_gemma":0.000028201233,"threshold_uncertainty_score":0.9999925},"labels":[],"label_agreement":null},{"id":"W2411365653","doi":"10.3934/dcds.2017186","title":"Statistical and deterministic dynamics of maps with memory","year":2017,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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":"Concordia University","funders":"","keywords":"Attractor; Invariant measure; Measure (data warehouse); State (computer science); Dynamical systems theory; Invariant (physics); Mathematics; Combinatorics; Fixed point; Physics; Alpha (finance); Mathematical physics; Mathematical analysis; Quantum mechanics; Algorithm; Computer science","score_opus":0.018832205883866394,"score_gpt":0.285599947681274,"score_spread":0.2667677417974076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2411365653","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":[0.6693703,0.00088613183,0.30346078,0.00030827185,0.0005734601,0.0028093786,0.0050310106,0.00016319368,0.01739749],"genre_scores_gemma":[0.99375737,0.000077445104,0.004512526,0.000008031635,0.000077017256,0.000102269456,0.00025592942,0.00008621228,0.0011231906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9972399,0.0001554627,0.0009683352,0.00072782644,0.00046074137,0.0004477455],"domain_scores_gemma":[0.99668455,0.0009457135,0.0009160173,0.000983279,0.00015982651,0.00031058837],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005480665,0.00057054084,0.0017987556,0.00008948822,0.00015699996,0.00036977287,0.0004146479,0.00051460665,0.0000107465785],"category_scores_gemma":[0.0004911986,0.00041684354,0.000115622,0.000030298914,0.0007589147,0.00006178328,0.0007064395,0.0006236604,0.000001218251],"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":[0.00016874573,0.00019167681,0.0019328396,0.01105359,0.0004826744,0.00020746262,0.00035806643,0.000013146578,0.000022061453,0.9790468,0.0001124055,0.006410535],"study_design_scores_gemma":[0.0010370347,0.00042307665,0.0011067021,0.0030234037,0.00079329393,0.00022790297,0.00065373717,0.5908828,0.0000016074463,0.4008134,0.00004571771,0.0009913071],"about_ca_topic_score_codex":0.0003323213,"about_ca_topic_score_gemma":0.00022840066,"teacher_disagreement_score":0.59086967,"about_ca_system_score_codex":0.00005555162,"about_ca_system_score_gemma":0.000067013185,"threshold_uncertainty_score":0.99982834},"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":"W2524278720","doi":"10.3934/dcds.2016.36.1331","title":"Asymptotic stability of non-monotone traveling waves for time-delayed nonlocal dispersion equations","year":2015,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Champlain Regional College; McGill University","funders":"China Scholarship Council; Fonds Québécois de la Recherche sur la Nature et les Technologies; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Monotone polygon; Mathematical analysis; Traveling wave; Mathematics; Monotonic function; Uniqueness; Dispersion (optics); Differential equation; Exponential stability; Corollary; Stability (learning theory); Physics; Nonlinear system; Geometry; Computer science","score_opus":0.030177997326654327,"score_gpt":0.2963121193023903,"score_spread":0.266134121975736,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2524278720","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":[0.28288373,0.00007381929,0.7149222,0.000060471124,0.00007606109,0.00116253,0.00009772042,0.000054948967,0.00066852797],"genre_scores_gemma":[0.9901962,0.0000021593828,0.009320713,0.0000066488556,0.00006250661,0.00012008782,0.000050676583,0.0000433904,0.0001976194],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9981237,0.00008401159,0.00077008206,0.00035613318,0.00032754242,0.0003385246],"domain_scores_gemma":[0.99769527,0.0011928993,0.00027664288,0.0003622023,0.0002434491,0.00022951748],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00066043076,0.00024056862,0.000740886,0.00003305909,0.00008336546,0.000043679694,0.00016441787,0.00013328137,0.0000039124798],"category_scores_gemma":[0.0006513718,0.00019244038,0.00014848149,0.00010727004,0.0001701861,0.00015812235,0.00008238117,0.00013129506,0.000005293248],"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":[0.0009582441,0.00182103,0.00042456435,0.00476357,0.0006994777,0.0000066609477,0.007005952,0.0013758868,0.10723807,0.86647224,0.00040305196,0.008831259],"study_design_scores_gemma":[0.0011435521,0.00037919416,0.0000101600435,0.00021196582,0.00013575052,0.0000034619436,0.0012951861,0.851052,0.0005766445,0.14490041,0.000018037876,0.00027365025],"about_ca_topic_score_codex":0.000052416795,"about_ca_topic_score_gemma":0.00000762867,"teacher_disagreement_score":0.84967613,"about_ca_system_score_codex":0.00007728561,"about_ca_system_score_gemma":0.00003933504,"threshold_uncertainty_score":0.78474903},"labels":[],"label_agreement":null},{"id":"W2525912989","doi":"10.3934/dcds.2016.36.2329","title":"Entire solutions with merging fronts to a bistable periodic lattice dynamical system","year":2015,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":12,"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":"Bistability; Multivibrator; Front (military); Lattice (music); Symmetry (geometry); Crystal system; Physics; Dynamical systems theory; Mathematics; Mathematical analysis; Statistical physics; Geometry; Quantum mechanics; Crystal structure","score_opus":0.02829197499784346,"score_gpt":0.2720556930015525,"score_spread":0.24376371800370905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2525912989","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":[0.46671298,0.00035284023,0.52685434,0.0002216594,0.0004707685,0.0012178841,0.000118253934,0.00039028874,0.0036609755],"genre_scores_gemma":[0.99304825,0.0000024245048,0.0038249046,0.000027822713,0.0001649151,0.0002827741,0.000063941276,0.00007511561,0.0025098592],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9967167,0.00028779902,0.00079918216,0.0007028093,0.00065696664,0.00083655876],"domain_scores_gemma":[0.997923,0.00022048576,0.00024812346,0.0005518116,0.00020905121,0.0008474913],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00044778996,0.00044508177,0.00093981565,0.00014471785,0.00040147328,0.0003727152,0.00028287206,0.00020527867,0.0000059491954],"category_scores_gemma":[0.00017118857,0.00033129417,0.000120628865,0.00037858175,0.0001380115,0.000246981,0.0001953317,0.00026082867,0.000028323178],"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":[0.0005264101,0.00041820545,0.005068887,0.0011126386,0.0004294173,0.00012563191,0.0020733324,0.0014018335,0.0009143246,0.98492104,0.00053701637,0.002471292],"study_design_scores_gemma":[0.0037759691,0.00082802214,0.00072189164,0.0019038599,0.00049145543,0.00034644784,0.020391563,0.9627797,0.0000060661487,0.0042005954,0.0030273127,0.0015271035],"about_ca_topic_score_codex":0.0007305761,"about_ca_topic_score_gemma":0.00028654528,"teacher_disagreement_score":0.9807204,"about_ca_system_score_codex":0.00028135008,"about_ca_system_score_gemma":0.000063108346,"threshold_uncertainty_score":0.99991393},"labels":[],"label_agreement":null},{"id":"W2558741303","doi":"10.3934/dcds.2017036","title":"On eigenvalue problems arising from nonlocal diffusion models","year":2016,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":86,"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":"Agence Nationale de la Recherche","keywords":"Eigenfunction; Eigenvalues and eigenvectors; Simple (philosophy); Spectrum (functional analysis); Mathematics; Diffusion; Pure mathematics; Maximum principle; Mathematical analysis; Applied mathematics; Combinatorics; Physics; Quantum mechanics; Mathematical optimization","score_opus":0.009771572380022686,"score_gpt":0.2098212430802755,"score_spread":0.2000496707002528,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2558741303","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":[0.10338585,0.00017049078,0.89478505,0.00015331464,0.00027246118,0.00024599303,0.000011558298,0.00025394227,0.0007213379],"genre_scores_gemma":[0.9880562,0.000015321451,0.011604475,0.00003032801,0.000069442205,0.000035656965,0.000002659114,0.0000243166,0.0001616325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9983421,0.000050945797,0.00037121944,0.0005428786,0.00032307254,0.00036980188],"domain_scores_gemma":[0.9988523,0.00035812744,0.00008351885,0.00048791172,0.00004037416,0.00017774141],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00014925306,0.00022835724,0.00035375298,0.000050011782,0.00009255445,0.00015353432,0.00039984685,0.000117083626,0.0000014589748],"category_scores_gemma":[0.000058164813,0.00014044122,0.00006446843,0.00008590349,0.000051509003,0.00036324884,0.00021593699,0.00012981775,0.000012373862],"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":[0.000014998483,0.00007467138,0.000068896705,0.0000684405,0.000038560032,0.00002011275,0.0003619068,0.058148324,0.00990924,0.88453776,0.000014052838,0.046743065],"study_design_scores_gemma":[0.0003530941,0.00007025492,0.00002829089,0.0005516797,0.000006488199,0.0000073540637,0.000016343374,0.91717803,0.00004054343,0.08148475,0.0000305494,0.00023258792],"about_ca_topic_score_codex":0.00006648124,"about_ca_topic_score_gemma":0.0000029149633,"teacher_disagreement_score":0.8846703,"about_ca_system_score_codex":0.000062234794,"about_ca_system_score_gemma":0.000008380171,"threshold_uncertainty_score":0.5727027},"labels":[],"label_agreement":null},{"id":"W2593701745","doi":"10.3934/dcds.2017147","title":"Global asymptotic stability of pushed traveling fronts for monostable delayed reaction-diffusion equations","year":2017,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","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":"Uniqueness; Reaction–diffusion system; Traveling wave; Exponential stability; Monotone polygon; Multivibrator; Front (military); Mathematical analysis; Diffusion; Physics; Mathematics; Work (physics); Stability (learning theory); Geometry; Nonlinear system; Thermodynamics; Computer science","score_opus":0.02454182956651345,"score_gpt":0.29939168744885636,"score_spread":0.2748498578823429,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2593701745","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":[0.77192247,0.00011389114,0.22384842,0.0005604143,0.00016007794,0.00065888284,0.00008746466,0.000022229677,0.002626139],"genre_scores_gemma":[0.99920917,0.000014848185,0.00038059845,0.00003664869,0.00005354834,0.00007043737,0.00005059282,0.000007732534,0.00017641933],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9987154,0.00008233014,0.0005372977,0.00028680847,0.000100164485,0.00027799807],"domain_scores_gemma":[0.9985932,0.000529941,0.00023049173,0.00035828113,0.00011424921,0.00017384658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006576056,0.00013997614,0.0006945471,0.000013377169,0.00031440187,0.000024743762,0.00010089897,0.00023767298,0.00001961539],"category_scores_gemma":[0.0014777469,0.00009960208,0.00013871357,0.000020981393,0.0003237164,0.00007474086,0.00005103814,0.00010043088,0.0000020216012],"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":[0.0016794909,0.0005301479,0.0794758,0.0008608765,0.0003959598,0.0000062905615,0.0001715911,0.00002864084,0.004247211,0.909068,0.000048239774,0.0034877611],"study_design_scores_gemma":[0.0025124683,0.00057974167,0.067564204,0.0002637702,0.00040857182,0.000025682606,0.00032032529,0.8728644,0.000053915217,0.055157296,0.000042545398,0.00020704266],"about_ca_topic_score_codex":0.00046782286,"about_ca_topic_score_gemma":0.00006327757,"teacher_disagreement_score":0.8728358,"about_ca_system_score_codex":0.00003565272,"about_ca_system_score_gemma":0.000026108903,"threshold_uncertainty_score":0.4061655},"labels":[],"label_agreement":null},{"id":"W2606693186","doi":"10.3934/dcds.2017176","title":"Mathematical analysis of an &lt;i&gt;in vivo&lt;/i&gt; model of mitochondrial swelling","year":2017,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mitochondrial Function and Pathology","field":"Biochemistry, Genetics and Molecular Biology","cited_by":5,"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 Guelph","funders":"","keywords":"Swelling; In vivo; Physics; Mathematics; Biology; Materials science; Composite material; Genetics","score_opus":0.010632898348791164,"score_gpt":0.2490245216099937,"score_spread":0.23839162326120253,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2606693186","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":[0.94680667,0.00022711129,0.049610175,0.000021910266,0.00025437,0.0002581088,0.00014831891,0.0000071005143,0.0026662555],"genre_scores_gemma":[0.9976818,0.000051663388,0.0009584532,0.000010618431,0.0001426604,0.00002245216,0.000091549424,0.000016755872,0.0010240301],"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9984504,0.00012626144,0.0005873021,0.00042202533,0.00017600546,0.00023802454],"domain_scores_gemma":[0.99873906,0.00002830592,0.000335184,0.00068619545,0.00008983225,0.00012140995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00024345529,0.00018301865,0.00069063064,0.00011554927,0.00008331199,0.00004622314,0.00028688923,0.0002971045,0.000018654502],"category_scores_gemma":[0.00013179211,0.00015802107,0.00021605741,0.00007582859,0.00020525052,0.000011255397,0.00009864429,0.00007985453,8.177872e-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":[0.00025354407,0.000086551416,0.001198086,0.000065885615,0.00023353109,0.000004355788,0.00010152089,0.0028427418,0.9868034,0.008183924,0.000032468004,0.00019398033],"study_design_scores_gemma":[0.0016963419,0.00053553935,0.0010417228,0.000097397344,0.00062333175,0.000015347125,0.00013060354,0.9806142,0.013623792,0.00048113833,0.00071243563,0.00042815128],"about_ca_topic_score_codex":0.000054456385,"about_ca_topic_score_gemma":0.00034710122,"teacher_disagreement_score":0.97777146,"about_ca_system_score_codex":0.0000073117685,"about_ca_system_score_gemma":0.000024890798,"threshold_uncertainty_score":0.6443912},"labels":[],"label_agreement":null},{"id":"W2623146947","doi":"10.3934/dcds.2017207","title":"Caccioppoli type inequality for non-Newtonian Stokes system and a local energy inequality of non-Newtonian Navier-Stokes equations without pressure","year":2017,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":5,"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; Inequality; Newtonian fluid; Type (biology); Nonlinear system; Mathematical analysis; Non-Newtonian fluid; Navier–Stokes equations; Applied mathematics; Physics; Classical mechanics; Mechanics; Compressibility","score_opus":0.03665251174235609,"score_gpt":0.3341651189434268,"score_spread":0.29751260720107076,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2623146947","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":[0.300955,0.0007609656,0.69328254,0.00035590716,0.0005803382,0.0017242499,0.0010863441,0.0001349363,0.0011196889],"genre_scores_gemma":[0.99588704,0.000028035556,0.002077252,0.000021657715,0.00020663317,0.00032290618,0.00011006748,0.00007056118,0.0012758181],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99644566,0.0003598815,0.0013736141,0.0006855493,0.00052866887,0.00060662255],"domain_scores_gemma":[0.9958418,0.0007178433,0.0012306813,0.0012400174,0.00059959607,0.00037005404],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012960214,0.00048575332,0.0013655368,0.0001318474,0.00090171455,0.00032745165,0.0005217439,0.00040418937,0.0000046928626],"category_scores_gemma":[0.00074537256,0.0004244491,0.00020793382,0.00014345853,0.0005495741,0.00040541473,0.0002652422,0.00025275067,0.0000023718608],"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":[0.0012426188,0.0010287571,0.106567286,0.01930045,0.0026856703,0.00003071615,0.010187919,0.0005378823,0.015628133,0.8269272,0.0012433141,0.01462005],"study_design_scores_gemma":[0.003784147,0.00055289373,0.009937875,0.0018157265,0.0010149868,0.000045643836,0.0050818603,0.97069806,0.000212574,0.0032327767,0.0025203957,0.0011030849],"about_ca_topic_score_codex":0.00557503,"about_ca_topic_score_gemma":0.0014337741,"teacher_disagreement_score":0.9701601,"about_ca_system_score_codex":0.00012052763,"about_ca_system_score_gemma":0.00014647342,"threshold_uncertainty_score":0.9998207},"labels":[],"label_agreement":null},{"id":"W2623620649","doi":"10.3934/dcds.2017197","title":"Notes on a theorem of Katznelson and Ornstein","year":2017,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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; Lebesgue measure; Type (biology); Absolute continuity; Combinatorics; Irrational number; Rotation number; Lebesgue integration; Conjugacy class; Rotation (mathematics); Measure (data warehouse); Discrete mathematics; Pure mathematics; Geometry","score_opus":0.02524048304689257,"score_gpt":0.2977343369526713,"score_spread":0.27249385390577874,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2623620649","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":[0.9785315,0.00013971748,0.005418402,0.00029993043,0.000101711936,0.00041618242,0.000060932605,0.00003400331,0.014997617],"genre_scores_gemma":[0.9989544,0.000025806818,0.00036211926,0.00001431068,0.00004814311,0.000018565363,0.0000036247068,0.000024224579,0.000548793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988099,0.000063601765,0.00041044335,0.00027044848,0.00021717585,0.00022845028],"domain_scores_gemma":[0.99830633,0.00063963566,0.0003423239,0.0005363155,0.000050398885,0.00012496457],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041829623,0.00020253578,0.0006166746,0.00003626251,0.00018305598,0.00020112858,0.00021063688,0.00013389891,0.000008543396],"category_scores_gemma":[0.0007326036,0.00013527654,0.000081266044,0.000020668067,0.0002648421,0.00007994976,0.00012500177,0.00012846246,0.0000021599296],"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":[0.000041242827,0.000067136556,0.0018776467,0.00042923918,0.00005496536,0.000008807084,0.00020004604,5.2454936e-7,0.0007010887,0.9921199,0.000018849154,0.0044805226],"study_design_scores_gemma":[0.0025788695,0.0010259025,0.011683237,0.0025810685,0.00027364024,0.00008661149,0.0011664267,0.25708658,0.00028050356,0.72171265,0.0004641708,0.0010603704],"about_ca_topic_score_codex":0.00014831868,"about_ca_topic_score_gemma":0.00002734636,"teacher_disagreement_score":0.27040732,"about_ca_system_score_codex":0.000009650517,"about_ca_system_score_gemma":0.000005888569,"threshold_uncertainty_score":0.5516417},"labels":[],"label_agreement":null},{"id":"W2736987736","doi":"10.3934/dcds.2018213","title":"Emergent dynamics of the Kuramoto ensemble under the effect of inertia","year":2018,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","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":"Kuramoto model; Inertia; Statistical physics; Inertial frame of reference; Synchronization (alternating current); Coupling (piping); Mathematics; Infinity; Measure (data warehouse); Physics; Classical mechanics; Mathematical analysis; Computer science; Topology (electrical circuits)","score_opus":0.00605594358844133,"score_gpt":0.22782941275803065,"score_spread":0.22177346916958932,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2736987736","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":[0.7879666,0.00032793818,0.20813031,0.0005202138,0.0015716086,0.00088844827,0.00010962918,0.000029899542,0.00045532177],"genre_scores_gemma":[0.99944454,0.000029940315,0.00010570924,0.000026493766,0.00009219097,0.000040273262,0.00005875322,0.000017825541,0.00018425957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99778223,0.00041687663,0.000717214,0.00037816996,0.00044760597,0.00025792653],"domain_scores_gemma":[0.9978053,0.0001490488,0.0006944661,0.0011432916,0.00014443984,0.00006344611],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006798765,0.00029925926,0.0005875041,0.000053400447,0.00011526814,0.00014835692,0.0013724217,0.0002472654,0.0000017818245],"category_scores_gemma":[0.000024417797,0.00015248772,0.0002755452,0.000171427,0.00020891197,0.00007788299,0.0015224156,0.00036678312,0.0000017460413],"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":[0.0005906725,0.0005186624,0.27397564,0.015824458,0.003932049,0.000019398662,0.0068444456,0.045473255,0.006681137,0.5555771,0.0016070039,0.08895618],"study_design_scores_gemma":[0.00025150183,0.00020970905,0.0058361865,0.00041519853,0.000074381955,0.000011562063,0.00006324441,0.99152976,0.00014238099,0.0012054361,0.00006006871,0.00020053856],"about_ca_topic_score_codex":0.0010063661,"about_ca_topic_score_gemma":0.00029754918,"teacher_disagreement_score":0.94605654,"about_ca_system_score_codex":0.000056515433,"about_ca_system_score_gemma":0.00003839139,"threshold_uncertainty_score":0.6218269},"labels":[],"label_agreement":null},{"id":"W2738786547","doi":"10.3934/dcds.2017244","title":"The initial-boundary value problems for a class of sixth order nonlinear wave equation","year":2017,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":40,"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":"Class (philosophy); Boundary value problem; Nonlinear system; Mathematics; Order (exchange); Mathematical analysis; Value (mathematics); Wave equation; Energy (signal processing); Initial value problem; Applied mathematics; Physics; Computer science; Statistics; Quantum mechanics","score_opus":0.05010612399468438,"score_gpt":0.3309118283075856,"score_spread":0.2808057043129012,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2738786547","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":[0.1269872,0.00043564194,0.8550252,0.0010929676,0.00062362815,0.0048268526,0.0002964022,0.00014395852,0.010568152],"genre_scores_gemma":[0.98985213,0.0000213691,0.008649216,0.000017347089,0.00017746295,0.0003216844,0.00003119091,0.000059695416,0.0008698757],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981873,0.000084921834,0.0007170886,0.00031169518,0.00032439493,0.0003745855],"domain_scores_gemma":[0.99692726,0.0012318032,0.00070568605,0.0007309098,0.00030800115,0.000096335665],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071267335,0.00023788078,0.0005806639,0.000022767836,0.0006875918,0.0003242991,0.00033845773,0.0001355679,0.0000014316537],"category_scores_gemma":[0.0012091084,0.00015437003,0.00013208919,0.000049121572,0.0004242738,0.00021695023,0.0001629171,0.00017479101,0.0000020218813],"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":[0.00007319753,0.00010364047,0.00003892,0.0010270936,0.00013006518,0.0000016350473,0.00037521886,0.00003620228,0.0012725565,0.99250054,0.00009423412,0.0043466855],"study_design_scores_gemma":[0.0009207004,0.0002071145,0.000027070759,0.00034291524,0.000098366254,0.0000076099636,0.00031817047,0.3136039,0.00011423784,0.68277895,0.001338419,0.00024252535],"about_ca_topic_score_codex":0.00006487072,"about_ca_topic_score_gemma":0.000033779626,"teacher_disagreement_score":0.862865,"about_ca_system_score_codex":0.00003666811,"about_ca_system_score_gemma":0.00004472627,"threshold_uncertainty_score":0.6295027},"labels":[],"label_agreement":null},{"id":"W2765182962","doi":"10.3934/dcds.2018039","title":"Propagation phenomena for CNNs with asymmetric templates and distributed delays","year":2017,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Neural Networks Stability and Synchronization","field":"Computer Science","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":"Memorial University of Newfoundland","funders":"","keywords":"Monotone polygon; Template; Cellular neural network; Function (biology); Wave speed; Traveling wave; Topology (electrical circuits); Mathematics; Pure mathematics; Computer science; Physics; Combinatorics; Mathematical analysis; Artificial neural network; Geometry; Artificial intelligence","score_opus":0.009109492543712142,"score_gpt":0.2240974071532729,"score_spread":0.21498791460956074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765182962","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":[0.1291996,0.00025504892,0.8689517,0.00046325976,0.00011724767,0.00066628645,0.000040207993,0.00006297476,0.00024373272],"genre_scores_gemma":[0.99919367,0.000013174901,0.0005069283,0.000013770046,0.00007678765,0.00007008349,0.000050625054,0.000008262777,0.00006672472],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989909,0.00004551368,0.00020769151,0.0003831057,0.00013563203,0.00023716585],"domain_scores_gemma":[0.99915695,0.00010494539,0.00018069964,0.00035788512,0.00009921687,0.00010032318],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00020725415,0.00013919045,0.00023979695,0.000034651337,0.000573158,0.00088113063,0.00027481173,0.00006579164,1.8628731e-7],"category_scores_gemma":[0.00006129596,0.00009832962,0.000024977315,0.000095248084,0.000112307025,0.0005112989,0.00011249719,0.00006860498,3.5921505e-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":[0.00027542398,0.00017116065,0.07239545,0.00083292124,0.00021257425,0.000027668806,0.00081289426,0.0010705291,0.00078446546,0.7294203,0.00017788546,0.19381875],"study_design_scores_gemma":[0.0006680745,0.00032027814,0.010194077,0.00006568932,0.000019013038,0.000024774181,0.00006377262,0.98739696,0.000017976088,0.0007422707,0.00028890633,0.00019820435],"about_ca_topic_score_codex":0.000098729244,"about_ca_topic_score_gemma":0.0000524203,"teacher_disagreement_score":0.98632646,"about_ca_system_score_codex":0.0000263939,"about_ca_system_score_gemma":0.000013106047,"threshold_uncertainty_score":0.8496763},"labels":[],"label_agreement":null},{"id":"W2766090009","doi":"10.3934/dcds.2018255","title":"Open maps: Small and large holes with unusual properties","year":2018,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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":"University of Waterloo","funders":"","keywords":"Alphabet; Mathematics; Automorphism; Torus; Algebraic number; Existential quantification; Entropy (arrow of time); Finite set; Topological entropy; Mixing (physics); Pure mathematics; Combinatorics; Physics; Mathematical analysis; Geometry; Quantum mechanics","score_opus":0.033177719086586226,"score_gpt":0.2741976104365489,"score_spread":0.24101989134996266,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766090009","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":[0.9589323,0.00030627343,0.025415288,0.00025459737,0.00008096792,0.0011457842,0.00009860437,0.00008977886,0.013676448],"genre_scores_gemma":[0.9951025,0.000014562071,0.0012835157,0.00006366647,0.000104503146,0.00008169195,0.000013357289,0.000042265747,0.0032939068],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985116,0.00009527357,0.00039177758,0.00040563758,0.00019523315,0.00040045773],"domain_scores_gemma":[0.9991137,0.00013214546,0.00014803014,0.0003095188,0.000108073385,0.0001885464],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046935497,0.0002583069,0.0005931158,0.000039659353,0.00020805188,0.0005746712,0.00029752197,0.00012615773,0.000011440351],"category_scores_gemma":[0.00010714255,0.00015587363,0.000036497444,0.00008280079,0.00037848172,0.0001499283,0.00039187336,0.0001365734,0.000006833758],"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":[0.00019675883,0.00020735197,0.0037790276,0.0008576933,0.00019299533,0.000030293564,0.0015756198,1.7533975e-7,0.00048168364,0.99027205,0.00029957693,0.0021067993],"study_design_scores_gemma":[0.015126785,0.007339895,0.0055102734,0.009094204,0.0012271832,0.0013323239,0.03286136,0.45640507,0.00033705824,0.43185142,0.033172194,0.005742247],"about_ca_topic_score_codex":0.00016884357,"about_ca_topic_score_gemma":0.00026220983,"teacher_disagreement_score":0.5584206,"about_ca_system_score_codex":0.000015314497,"about_ca_system_score_gemma":0.000017404898,"threshold_uncertainty_score":0.6356342},"labels":[],"label_agreement":null},{"id":"W2774950505","doi":"10.3934/dcds.2019206","title":"Shifts of finite type and random substitutions","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Quasicrystal Structures and Properties","field":"Materials Science","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":"University of Alberta","funders":"","keywords":"Subshift of finite type; Topological conjugacy; Topological entropy; Transitive relation; Type (biology); Logarithm; Substitution (logic); Finite set","score_opus":0.005496035515046254,"score_gpt":0.20327226556416053,"score_spread":0.19777623004911427,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2774950505","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":[0.9953852,0.0021127823,0.00031980718,0.00004027956,0.00036510723,0.000244277,0.000044789802,0.000022737891,0.001465002],"genre_scores_gemma":[0.9993496,0.000047799174,0.000029006686,0.000015216803,0.00003167304,0.000004976768,0.000008525183,0.0000066818425,0.00050655485],"study_design_codex":"bench_or_experimental","study_design_gemma":"observational","domain_scores_codex":[0.999272,0.0000613537,0.00021494755,0.0001834686,0.000115358445,0.00015285332],"domain_scores_gemma":[0.99960536,0.000077228004,0.00007108752,0.00013105382,0.000052714066,0.00006257081],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000119324366,0.00009893144,0.00029105833,0.000019874344,0.00005892055,0.000078277626,0.000076603574,0.000063121,0.000054007567],"category_scores_gemma":[0.00003652776,0.000065555134,0.000025557812,0.00006189024,0.00013639357,0.00008241873,0.000052519015,0.000051311003,0.000010276543],"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":[0.0008485386,0.00003113598,0.025434563,0.00068105216,0.0000573327,0.000008930125,0.0011321063,0.00033832705,0.9176703,0.05163714,0.000081068945,0.0020795169],"study_design_scores_gemma":[0.050560668,0.010671239,0.36004737,0.006772553,0.0013675027,0.0007702243,0.018347057,0.33899206,0.06428697,0.02212852,0.11672552,0.009330337],"about_ca_topic_score_codex":0.0005508545,"about_ca_topic_score_gemma":0.000023967612,"teacher_disagreement_score":0.8533833,"about_ca_system_score_codex":0.0000061471655,"about_ca_system_score_gemma":0.000011707211,"threshold_uncertainty_score":0.26732606},"labels":[],"label_agreement":null},{"id":"W2778356694","doi":"10.3934/dcds.2018019","title":"Well-posedness for a higher-order, nonlinear, dispersive equation on a quarter plane","year":2018,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":9,"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":"Quarter (Canadian coin); Plane (geometry); Nonlinear system; Dispersive partial differential equation; Mathematical analysis; Boundary value problem; Mathematics; Amplitude; Focus (optics); Order (exchange); Variable (mathematics); Boundary (topology); Initial value problem; Physics; Geometry; Optics; Partial differential equation","score_opus":0.026108831653355515,"score_gpt":0.2969022458069967,"score_spread":0.27079341415364117,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2778356694","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":[0.2497703,0.000103890045,0.73209,0.0009310463,0.0010116781,0.0034524365,0.00025549234,0.00032066117,0.012064465],"genre_scores_gemma":[0.99079436,0.0000029248488,0.00608123,0.00010398497,0.00053361617,0.00024838888,0.000088208806,0.00006492582,0.0020823386],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99828434,0.00006720084,0.0004909391,0.0004524343,0.0002854043,0.00041965555],"domain_scores_gemma":[0.99830455,0.00076417334,0.00022573331,0.00035890494,0.00019885735,0.00014780657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00021904308,0.0002932964,0.0005572403,0.00004640052,0.00016788195,0.00010133383,0.00016963333,0.00015157471,0.00002070248],"category_scores_gemma":[0.00014776095,0.00022534931,0.00010276414,0.00011841489,0.00018209826,0.00012663926,0.00004834348,0.00014442879,0.000042029806],"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":[0.00034445105,0.00034096438,0.000045621742,0.00074837386,0.00014728248,0.0000056136,0.00091372774,0.0000143661955,0.0021508837,0.99301094,0.0012431463,0.0010346321],"study_design_scores_gemma":[0.0036360808,0.0025002712,0.000047371355,0.00082085613,0.00021048376,0.000017619941,0.0015320302,0.37017357,0.00025370147,0.6148915,0.0048813126,0.001035188],"about_ca_topic_score_codex":0.000030165626,"about_ca_topic_score_gemma":0.000015953592,"teacher_disagreement_score":0.7410241,"about_ca_system_score_codex":0.00005420085,"about_ca_system_score_gemma":0.000014115264,"threshold_uncertainty_score":0.9189478},"labels":[],"label_agreement":null},{"id":"W2796418111","doi":"10.3934/dcds.2018128","title":"Propagation of monostable traveling fronts in discrete periodic media with delay","year":2018,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":11,"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":"Multivibrator; Uniqueness; Homogeneous; Bounded function; Traveling wave; Front (military); Mathematical analysis; Physics; Wave speed; Mathematics; Statistical physics","score_opus":0.009746914245555021,"score_gpt":0.24553333065667124,"score_spread":0.23578641641111622,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2796418111","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":[0.93634665,0.0002614898,0.05900295,0.00032760637,0.000056676763,0.0004546972,0.000011467041,0.00002256433,0.003515891],"genre_scores_gemma":[0.99923116,0.000019442266,0.00030826658,0.000069552596,0.00007101695,0.000039979244,0.000025076051,0.00001246008,0.00022302367],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986736,0.00011908025,0.0004978957,0.000275876,0.00012799414,0.00030551554],"domain_scores_gemma":[0.99928534,0.00022182315,0.00010900028,0.00015763323,0.00007763111,0.00014857943],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00047949402,0.00015270899,0.0006920019,0.000045157754,0.000060451424,0.0000105804165,0.00005881952,0.00019094834,0.000042602718],"category_scores_gemma":[0.000214577,0.00009175903,0.00004780571,0.00009379639,0.00061646645,0.000057771667,0.00002785742,0.00017894704,0.0000056555505],"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":[0.004643822,0.00053694035,0.15542163,0.0017143316,0.00038159016,0.00015981279,0.004317764,0.000084387444,0.0035004015,0.8248273,0.000048929756,0.0043631042],"study_design_scores_gemma":[0.0040784455,0.0024228604,0.046257757,0.0019953044,0.00025564322,0.00024935542,0.0017786308,0.9320303,0.00026903953,0.01012531,0.00009193134,0.00044539722],"about_ca_topic_score_codex":0.00018280026,"about_ca_topic_score_gemma":0.00009057451,"teacher_disagreement_score":0.9319459,"about_ca_system_score_codex":0.000018079327,"about_ca_system_score_gemma":0.000025310566,"threshold_uncertainty_score":0.37418246},"labels":[],"label_agreement":null},{"id":"W2805230938","doi":"10.3934/dcds.2018168","title":"Global weak solution and boundedness in a three-dimensional competing chemotaxis","year":2018,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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":"Toronto Metropolitan University","funders":"","keywords":"Chemotaxis; Mathematics; Mathematical analysis; Physics; Applied mathematics; Chemistry; Receptor","score_opus":0.014966856834471133,"score_gpt":0.26896358014173866,"score_spread":0.2539967233072675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2805230938","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":[0.98911154,0.0002081599,0.0057368004,0.0002307796,0.00016104967,0.00041306028,0.000027104817,0.00007874846,0.004032764],"genre_scores_gemma":[0.9985434,0.0000015098402,0.0011578943,0.000029918867,0.000109807275,0.000027570819,0.000009225989,0.000014681967,0.00010600505],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99838585,0.00012766104,0.0004868756,0.00039957886,0.00020014777,0.00039986492],"domain_scores_gemma":[0.999185,0.00027499482,0.0001390931,0.00020010333,0.00006751227,0.0001332913],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005524461,0.00022076181,0.0005316128,0.00003806153,0.00013632013,0.00007891308,0.00011743866,0.00017438595,0.000013129085],"category_scores_gemma":[0.00027580457,0.00017309503,0.00004660031,0.00014015101,0.00045577504,0.00007062561,0.00017511117,0.00013172926,0.000007166432],"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":[0.0001831848,0.00020216515,0.1231691,0.00069637905,0.000098332755,0.000037764115,0.00039227202,6.207047e-7,0.0011287266,0.87196416,0.00022658556,0.0019007007],"study_design_scores_gemma":[0.0036795568,0.00071990496,0.06360554,0.0015682485,0.00013767449,0.0008740719,0.0013935164,0.50484776,0.00003755721,0.4216166,0.00029723384,0.0012223138],"about_ca_topic_score_codex":0.000450777,"about_ca_topic_score_gemma":0.0011268227,"teacher_disagreement_score":0.50484717,"about_ca_system_score_codex":0.00007009956,"about_ca_system_score_gemma":0.000016932196,"threshold_uncertainty_score":0.70586103},"labels":[],"label_agreement":null},{"id":"W2889358612","doi":"10.3934/dcds.2020220","title":"Renormalizing an infinite rational IET","year":2020,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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 Toronto","funders":"","keywords":"Cantor set; Mathematics; Interval (graph theory); Hausdorff dimension; Transformation (genetics); Hausdorff space; Set (abstract data type); Reversing; Dimension (graph theory); Pure mathematics; Combinatorics; Computer science","score_opus":0.04564557985819122,"score_gpt":0.31015932210025327,"score_spread":0.26451374224206203,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2889358612","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":[0.6466434,0.0011152893,0.32057068,0.0016550786,0.0015061462,0.0032541053,0.0015888255,0.0008507459,0.022815736],"genre_scores_gemma":[0.99431235,0.000058754358,0.0036124855,0.00011728547,0.000495123,0.00015913107,0.00062712614,0.000094130104,0.00052364473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99684125,0.00026174606,0.001105791,0.00079253886,0.0005535147,0.0004451486],"domain_scores_gemma":[0.99784034,0.00041540604,0.0005269641,0.0006358818,0.0001425541,0.00043885136],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00056549767,0.0005400446,0.0012262659,0.00008107207,0.00014910601,0.0006317297,0.00043854947,0.00056307897,0.00005331456],"category_scores_gemma":[0.00037566596,0.00045580562,0.00023575262,0.0000936818,0.00012270064,0.00014805436,0.0006749346,0.0008437757,0.000013405773],"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":[0.0000650204,0.00016207197,0.0005783213,0.0027807106,0.00030179988,0.00006930205,0.0011269542,0.00006277919,0.00045228467,0.99275446,0.00067847845,0.0009677994],"study_design_scores_gemma":[0.00040022162,0.00013828461,0.00027672795,0.0006582534,0.00018177553,0.000037527636,0.00045509698,0.68501824,0.0000020215034,0.3112929,0.00080340554,0.0007355567],"about_ca_topic_score_codex":0.00016345659,"about_ca_topic_score_gemma":0.0000394959,"teacher_disagreement_score":0.6849554,"about_ca_system_score_codex":0.0000503429,"about_ca_system_score_gemma":0.000054671887,"threshold_uncertainty_score":0.99978936},"labels":[],"label_agreement":null},{"id":"W2890785407","doi":"10.3934/dcds.2022078","title":"Zero-diffusion limit for aggregation equations over bounded domains","year":2022,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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":"University of Calgary; Simon Fraser University","funders":"","keywords":"Bounded function; Limit (mathematics); Zero (linguistics); Diffusion; Regular polygon; Mathematics; Computation; Work (physics); Rate of convergence; Coupling (piping); Mathematical analysis; Physics; Computer science; Key (lock); Geometry; Thermodynamics","score_opus":0.020319825446237682,"score_gpt":0.27804971509715165,"score_spread":0.257729889650914,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2890785407","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":[0.8097131,0.00016247029,0.18544078,0.00039400978,0.00032934014,0.0016606009,0.00023961774,0.00017216876,0.0018878689],"genre_scores_gemma":[0.9954689,0.000003481964,0.001202314,0.00007547937,0.000077647506,0.00077065616,0.00014827437,0.000036249636,0.0022169626],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998223,0.00022132295,0.0005301844,0.00036816223,0.00030799364,0.00034930123],"domain_scores_gemma":[0.9980712,0.0012093815,0.00024262321,0.00030412595,0.000056745408,0.000115959854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00060370343,0.00020447235,0.00045379516,0.00007299482,0.0005448674,0.00009194425,0.00019346952,0.00010007719,0.000058484704],"category_scores_gemma":[0.00052072684,0.00017143076,0.0001393149,0.0001324129,0.00009843004,0.00007070592,0.00018317971,0.00018864922,0.000003426207],"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":[0.00007033539,0.00014164724,0.0006282687,0.00020901013,0.00006303926,0.0000051900747,0.00037355084,0.0000052918203,0.0014972956,0.9955972,0.0008401461,0.0005690331],"study_design_scores_gemma":[0.0026492532,0.0006708647,0.0003981219,0.00012314328,0.00022755214,0.000074855656,0.0014097034,0.270497,0.000038728333,0.7179989,0.005280282,0.00063154916],"about_ca_topic_score_codex":0.000054246968,"about_ca_topic_score_gemma":0.000021825841,"teacher_disagreement_score":0.27759826,"about_ca_system_score_codex":0.00010829125,"about_ca_system_score_gemma":0.00002102099,"threshold_uncertainty_score":0.6990743},"labels":[],"label_agreement":null},{"id":"W2900096400","doi":"10.3934/dcds.2019042","title":"Intermediate Lyapunov exponents for systems with periodic orbit gluing property","year":2018,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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 Alberta","funders":"","keywords":"Infimum and supremum; Lyapunov exponent; Combinatorics; Ergodic theory; Physics; Orbit (dynamics); Mathematics; Mathematical analysis; Quantum mechanics","score_opus":0.020853791937843567,"score_gpt":0.27062638840824355,"score_spread":0.24977259647039998,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2900096400","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":[0.8553151,0.00024236864,0.1372167,0.000100538055,0.00057323166,0.002514012,0.00013684909,0.000202505,0.0036986864],"genre_scores_gemma":[0.99406934,0.000009424555,0.0009198823,0.00002798594,0.00036143223,0.00042706475,0.000033602722,0.00008128186,0.004069996],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99766475,0.00010250523,0.0007300902,0.0005361097,0.0003696126,0.00059691543],"domain_scores_gemma":[0.99843913,0.00032176223,0.00030630874,0.00043415604,0.00024139734,0.00025725228],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055282965,0.0003789393,0.0008645415,0.000073370255,0.00025507505,0.00041989153,0.0002668272,0.00018860078,0.000013072976],"category_scores_gemma":[0.00021337607,0.00020804562,0.000116903364,0.00011486034,0.00029336585,0.00015559625,0.000107805055,0.00016493515,0.000012563973],"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":[0.0026157603,0.0014555441,0.013277035,0.018833956,0.0022812006,0.00020879635,0.011505706,0.00002437006,0.008574315,0.9211478,0.004442559,0.015632937],"study_design_scores_gemma":[0.0031762493,0.002071214,0.0005064698,0.0031193788,0.0003533676,0.00026769858,0.004125951,0.9703453,0.000030838848,0.009382788,0.0052977065,0.0013230353],"about_ca_topic_score_codex":0.00014909098,"about_ca_topic_score_gemma":0.00005637751,"teacher_disagreement_score":0.97032094,"about_ca_system_score_codex":0.00005804508,"about_ca_system_score_gemma":0.000025555726,"threshold_uncertainty_score":0.8483854},"labels":[],"label_agreement":null},{"id":"W2948664006","doi":"10.3934/dcds.2019237","title":"Blow-up for the 3-dimensional axially symmetric harmonic map flow into &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ S^2 $&lt;/tex-math&gt;&lt;/inline-formula&gt;","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","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","keywords":"Nabla symbol; Combinatorics; Omega; Physics; Domain (mathematical analysis); Bounded function; Boundary (topology); Blowing up; Dimension (graph theory); Axial symmetry; Harmonic map; Mathematical physics; Mathematical analysis; Mathematics; Quantum mechanics","score_opus":0.008167829712213602,"score_gpt":0.22700898478834597,"score_spread":0.21884115507613236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948664006","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":[0.22820216,0.0040216097,0.76059806,0.0006319656,0.0029299771,0.0026009958,0.00012570257,0.00059898983,0.0002905145],"genre_scores_gemma":[0.95393836,0.00010985232,0.042282633,0.00023288,0.00059498835,0.00042401775,0.000133719,0.00018906964,0.0020944697],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9929043,0.00014787068,0.0019317481,0.0017181092,0.0015644568,0.0017334907],"domain_scores_gemma":[0.99456453,0.0017014787,0.00059153675,0.0019573283,0.0005604768,0.0006246336],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001541293,0.0011563889,0.0017292897,0.00038037938,0.0005857977,0.0007727651,0.002265159,0.00056776,0.000011872368],"category_scores_gemma":[0.0005089567,0.00083002564,0.0006253209,0.0009109695,0.00021319323,0.0009555037,0.0010881652,0.00074213377,0.00017475452],"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":[0.000201263,0.00036419852,0.000060608578,0.0019617053,0.00064661575,0.00006902214,0.0010340741,0.0758371,0.022826325,0.8722681,0.00048659768,0.024244413],"study_design_scores_gemma":[0.0019604324,0.00043773625,0.00008080061,0.0006594677,0.00015707148,0.00012692709,0.000060145863,0.9818142,0.00012191985,0.005931294,0.0075235455,0.0011264618],"about_ca_topic_score_codex":0.000046336194,"about_ca_topic_score_gemma":0.00003756598,"teacher_disagreement_score":0.90597713,"about_ca_system_score_codex":0.0003342363,"about_ca_system_score_gemma":0.00017843505,"threshold_uncertainty_score":0.99941504},"labels":[],"label_agreement":null},{"id":"W2948761833","doi":"10.3934/dcds.2019228","title":"Nondegeneracy of harmonic maps from $ {{\\mathbb{R}}^{2}} $ to $ {{\\mathbb{S}}^{2}} $","year":2019,"lang":"es","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":5,"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":"Bounded function; Dimension (graph theory); Kernel (algebra); Harmonic map; Space (punctuation); Mathematics; Harmonic; Degree (music); Operator (biology); Energy (signal processing); Combinatorics; Physics; Mathematical analysis; Quantum mechanics; Computer science","score_opus":0.007800849770707915,"score_gpt":0.24005065234775233,"score_spread":0.23224980257704442,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2948761833","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":[0.9805758,0.0071715205,0.0035962851,0.00035589893,0.001037949,0.0015497176,0.0008821124,0.00008970517,0.004740991],"genre_scores_gemma":[0.9918657,0.000268926,0.00078143855,0.000113004724,0.00038520544,0.000064150365,0.00026266844,0.00011907325,0.0061398675],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99462277,0.0003523639,0.0018571189,0.0011988778,0.0010644022,0.00090444303],"domain_scores_gemma":[0.9961279,0.0006994512,0.00088516437,0.0013865487,0.00032755992,0.0005733836],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00074843655,0.0008115425,0.0025925967,0.0004350732,0.00013073457,0.00057257,0.00075770443,0.00062347605,0.00026969993],"category_scores_gemma":[0.00025564324,0.0006681954,0.0006532126,0.0010917416,0.00011840347,0.00022361144,0.00044615526,0.00053295866,0.0003874731],"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":[0.0015052345,0.0027868287,0.3168661,0.008511529,0.009726432,0.0002228381,0.0071417745,0.0008561775,0.059907954,0.5353605,0.019850327,0.03726426],"study_design_scores_gemma":[0.025748922,0.007571541,0.152877,0.021073356,0.014390939,0.00024308529,0.040467244,0.43475905,0.0029333925,0.023039179,0.26098758,0.015908709],"about_ca_topic_score_codex":0.0021396275,"about_ca_topic_score_gemma":0.000077599725,"teacher_disagreement_score":0.51232135,"about_ca_system_score_codex":0.000104843224,"about_ca_system_score_gemma":0.000072200935,"threshold_uncertainty_score":0.9995769},"labels":[],"label_agreement":null},{"id":"W2956165046","doi":"10.3934/dcds.2019267","title":"Accelerating dynamical peakons and their behaviour","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","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":"Brock University","funders":"","keywords":"Peakon; Acceleration; Nonlinear system; Amplitude; Breather; Constant (computer programming); Mathematical analysis; Physics; Applied mathematics; Computer science; Classical mechanics; Mathematics; Optics","score_opus":0.005783527926849112,"score_gpt":0.22312696676105118,"score_spread":0.21734343883420207,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2956165046","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":[0.9902517,0.00017159768,0.0012162122,0.0001240941,0.00020414886,0.0003529786,0.00017599242,0.00003846379,0.007464778],"genre_scores_gemma":[0.9976268,0.000003146781,0.000073937124,0.000019547371,0.00024378214,0.000018582325,0.00010844661,0.000026396012,0.0018793651],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.998848,0.000067958106,0.00028337305,0.00035915597,0.00010091778,0.0003405861],"domain_scores_gemma":[0.9994268,0.00007418994,0.00008223034,0.00021393057,0.000033290453,0.00016959151],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000098301825,0.00022184986,0.00039445198,0.000028675446,0.00013448563,0.00024495082,0.00010754303,0.00007534087,0.000044787044],"category_scores_gemma":[0.0000028811803,0.00016284674,0.00009265036,0.000054942007,0.00006849052,0.00010802658,0.000117621545,0.00021983763,0.00001107072],"study_design_candidate":"observational","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":[0.000030282894,0.00013042166,0.8118186,0.000085467844,0.0001844423,0.0000058012365,0.00086370856,0.000031092794,0.00484384,0.16913512,0.000066985,0.012804235],"study_design_scores_gemma":[0.003289409,0.0005184038,0.15077141,0.00042709854,0.00016147789,0.00006279475,0.023127291,0.8125231,0.000092636124,0.002547588,0.0046794903,0.0017992868],"about_ca_topic_score_codex":0.0007669919,"about_ca_topic_score_gemma":0.000013984503,"teacher_disagreement_score":0.812492,"about_ca_system_score_codex":0.000011404185,"about_ca_system_score_gemma":0.00001397668,"threshold_uncertainty_score":0.6640697},"labels":[],"label_agreement":null},{"id":"W2962917137","doi":"10.3934/dcds.2018097","title":"Conormal derivative problems for stationary Stokes system in Sobolev spaces","year":2018,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":23,"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":"Sobolev space; Bounded function; Mathematics; Sobolev inequality; Mathematical analysis; Derivative (finance); Coordinate system; Sobolev spaces for planar domains; Pure mathematics; Interpolation space; Geometry; Functional analysis","score_opus":0.009683103757281134,"score_gpt":0.23610068239292253,"score_spread":0.2264175786356414,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962917137","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":[0.073714666,0.0002232782,0.9243669,0.00006918562,0.00024318512,0.00064194284,0.000013646164,0.00017444343,0.00055277476],"genre_scores_gemma":[0.96981394,0.0000029143064,0.029774517,0.00001499154,0.00008340793,0.0002101528,0.0000061509527,0.000015739059,0.00007820924],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99872994,0.00003982537,0.00038349212,0.0003533062,0.00015686652,0.00033653746],"domain_scores_gemma":[0.9992522,0.00022755054,0.00010168457,0.00021554178,0.00011313666,0.000089887064],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025633047,0.00016808492,0.00032723244,0.00007228864,0.00009114049,0.00015937035,0.0002766086,0.000071333016,2.946612e-7],"category_scores_gemma":[0.00005655391,0.00014124566,0.00003655068,0.00013535065,0.000086223285,0.00037478167,0.00010608145,0.00008636055,0.0000025330196],"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":[0.000022501708,0.000034910798,0.0004951068,0.0008196155,0.00003653674,0.0000072392518,0.0020279349,0.016581345,0.0010487337,0.9760337,0.000019025641,0.0028733388],"study_design_scores_gemma":[0.000398402,0.00014764955,0.00018189292,0.00034831607,0.0000048648735,0.000017182221,0.00069924153,0.99534875,0.00003429164,0.0024425904,0.00017708224,0.00019974359],"about_ca_topic_score_codex":0.000040601506,"about_ca_topic_score_gemma":0.00001260061,"teacher_disagreement_score":0.9787674,"about_ca_system_score_codex":0.00006390883,"about_ca_system_score_gemma":0.000016341235,"threshold_uncertainty_score":0.5759831},"labels":[],"label_agreement":null},{"id":"W2963026984","doi":"10.3934/dcds.2010.27.389","title":"The Cauchy problem for Schrödinger flows into Kähler manifolds","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Geometry and complex manifolds","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":"University of British Columbia","funders":"University of Washington; National Science Foundation","keywords":"Mathematical physics; Schrödinger's cat; Physics; Mathematics; Cauchy distribution; Geology; Pure mathematics; Mathematical analysis","score_opus":0.012890236827487541,"score_gpt":0.26679896093997285,"score_spread":0.25390872411248533,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963026984","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":[0.97308016,0.00037617568,0.016945349,0.00092843216,0.0011937632,0.0017722908,0.000031290812,0.00020819224,0.005464354],"genre_scores_gemma":[0.9912513,0.000009255937,0.0025618651,0.00003208789,0.00038609942,0.0003691429,0.000014433962,0.00004586673,0.005329955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982492,0.000074651216,0.0005091848,0.00039536538,0.00026162708,0.0005100254],"domain_scores_gemma":[0.9984419,0.00060407195,0.00016717428,0.00048466097,0.00013857681,0.00016363796],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007596869,0.00027300362,0.0004189925,0.000047792666,0.000590118,0.00042174262,0.00037467052,0.00021250584,0.000014939915],"category_scores_gemma":[0.00016605401,0.00017258569,0.00016249328,0.00012791302,0.00010548537,0.000107364765,0.00013027647,0.0003044968,0.00001079243],"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":[0.00007648605,0.000070337504,0.0011076239,0.00040035875,0.00015399104,0.000006785651,0.0003928797,0.000002943882,0.0065160985,0.9818101,0.0024287817,0.0070336056],"study_design_scores_gemma":[0.0035314534,0.0008883834,0.002377282,0.0003807372,0.0004722881,0.0002550127,0.0039017377,0.13507792,0.00023878228,0.5078637,0.3429884,0.0020242813],"about_ca_topic_score_codex":0.00016995416,"about_ca_topic_score_gemma":0.000784049,"teacher_disagreement_score":0.4739464,"about_ca_system_score_codex":0.00001922071,"about_ca_system_score_gemma":0.000019326077,"threshold_uncertainty_score":0.703784},"labels":[],"label_agreement":null},{"id":"W2963027876","doi":"10.3934/dcds.2019232","title":"Superfluids passing an obstacle and vortex nucleation","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","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":"","keywords":"Nabla symbol; Physics; Omega; Vortex; Mathematical physics; Superfluidity; Combinatorics; Boundary (topology); Mathematical analysis; Quantum mechanics; Mathematics","score_opus":0.013767676965290639,"score_gpt":0.2742882710700845,"score_spread":0.2605205941047939,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963027876","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":[0.9743158,0.00014594538,0.021764124,0.00006445132,0.00011815475,0.00058844,0.000012558391,0.00013742466,0.002853067],"genre_scores_gemma":[0.9971927,0.000008405317,0.0018932121,0.00002679496,0.000060184913,0.000023803637,0.000014559534,0.000048835875,0.0007314959],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998606,0.00008299569,0.0003920948,0.00038963312,0.00022843434,0.00030083497],"domain_scores_gemma":[0.99909353,0.00024091419,0.00010663775,0.00033514056,0.00005752261,0.0001662716],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023298562,0.00021179367,0.0004666961,0.00003287709,0.00009895564,0.00017944824,0.000105211126,0.00011413241,0.00001259194],"category_scores_gemma":[0.00006510609,0.00017324672,0.00004602979,0.0000746211,0.00008973524,0.00039413726,0.000078966106,0.00015218106,0.000012436275],"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":[0.00002764281,0.00010358858,0.0030417682,0.0006132031,0.00004792377,0.00000625793,0.0008758037,0.000013637656,0.025304168,0.9652039,0.000029152478,0.004732956],"study_design_scores_gemma":[0.0018993875,0.00058945914,0.0023280599,0.0006009197,0.00014766077,0.000113362905,0.0038259344,0.32754233,0.00020625196,0.661246,0.00044780414,0.0010528015],"about_ca_topic_score_codex":0.00004477977,"about_ca_topic_score_gemma":0.000006570524,"teacher_disagreement_score":0.32752872,"about_ca_system_score_codex":0.000033611494,"about_ca_system_score_gemma":0.000007762311,"threshold_uncertainty_score":0.7064796},"labels":[],"label_agreement":null},{"id":"W2963176574","doi":"10.3934/dcds.2010.27.847","title":"Eventual regularization of the slightlysupercritical fractional Burgers equation","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":51,"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":"Supercritical fluid; Burgers' equation; Regularization (linguistics); Mathematics; Mathematical analysis; Mathematical physics; Applied mathematics; Physics; Thermodynamics; Partial differential equation; Computer science","score_opus":0.014454860448497031,"score_gpt":0.26907433024568045,"score_spread":0.2546194697971834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963176574","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":[0.6502844,0.000027576343,0.34468037,0.0005644617,0.00060867035,0.00065347337,0.000030403997,0.000068511355,0.0030821597],"genre_scores_gemma":[0.997581,0.0000013242384,0.0017745225,0.000018017048,0.00010601651,0.000037818372,0.000012713032,0.000022358527,0.00044623078],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863744,0.000084463485,0.00047077966,0.00021678241,0.00039400408,0.00019653248],"domain_scores_gemma":[0.9988135,0.0005226022,0.00013322916,0.00031657197,0.0001336291,0.000080476486],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029719298,0.00014411063,0.00030917668,0.000026682927,0.00011015088,0.00003833795,0.00015275936,0.00013908686,0.000016664133],"category_scores_gemma":[0.0006311408,0.00009629307,0.000103984894,0.00012245175,0.0002102073,0.00015574806,0.00007130647,0.00028380076,0.000002380458],"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":[0.0000091304155,0.00006941007,0.0003091782,0.00011619348,0.00002347113,4.1524444e-7,0.00010796819,0.000014420722,0.032361332,0.96664137,0.000057440866,0.0002896646],"study_design_scores_gemma":[0.00038829562,0.000045156725,0.0005912982,0.00013331903,0.00008406982,0.00002203615,0.00029951613,0.0539738,0.0010907392,0.9429409,0.00021130058,0.0002195954],"about_ca_topic_score_codex":0.000019502333,"about_ca_topic_score_gemma":0.0000075698354,"teacher_disagreement_score":0.34729663,"about_ca_system_score_codex":0.000019397552,"about_ca_system_score_gemma":0.000017214297,"threshold_uncertainty_score":0.39267176},"labels":[],"label_agreement":null},{"id":"W2963397163","doi":"10.3934/dcds.2017013","title":"Mixed dimensional infinite soliton trains for nonlinear Schrödinger equations","year":2016,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","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","funders":"","keywords":"Train; Soliton; Nonlinear system; Line (geometry); Plane (geometry); Infinity; Space (punctuation); Point (geometry); Physics; Mathematical analysis; Mathematics; Quantum mechanics; Geometry; Computer science","score_opus":0.039859923700099824,"score_gpt":0.29723117874376287,"score_spread":0.25737125504366304,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963397163","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":[0.15779088,0.00009510303,0.8382565,0.00075754453,0.00030134336,0.0012703545,0.00039626716,0.00019489601,0.0009371208],"genre_scores_gemma":[0.9803909,0.000004301584,0.017191123,0.000042088264,0.0002310983,0.00028772926,0.000039799732,0.0000640761,0.0017488532],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998256,0.00006460622,0.00058577827,0.00038423287,0.0002727659,0.00043657774],"domain_scores_gemma":[0.9968816,0.0022784513,0.00020365484,0.00030933382,0.00014408055,0.00018287307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003351755,0.00025378173,0.0005283132,0.00005167934,0.00015783568,0.00006428136,0.00014695217,0.00013440581,0.00000897623],"category_scores_gemma":[0.0007068051,0.00016012359,0.00015246985,0.00007852932,0.00015239028,0.00018778013,0.00007986884,0.00010281671,0.000013506241],"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":[0.00003732532,0.000111360496,0.000028419228,0.00023780052,0.00008053949,0.0000018478543,0.00011353056,0.000011180745,0.011274921,0.98434514,0.00029516369,0.0034627693],"study_design_scores_gemma":[0.002333698,0.00026119128,0.000029493713,0.0007100126,0.0001424466,0.000014185176,0.00023057793,0.10741959,0.00033502342,0.88531435,0.0025660682,0.0006433472],"about_ca_topic_score_codex":0.0000081200005,"about_ca_topic_score_gemma":0.000009986489,"teacher_disagreement_score":0.82260007,"about_ca_system_score_codex":0.00004971828,"about_ca_system_score_gemma":0.00002373199,"threshold_uncertainty_score":0.65296507},"labels":[],"label_agreement":null},{"id":"W2963708012","doi":"10.3934/dcds.2012.32.3621","title":"Planar traveling waves for nonlocal dispersion equation with monostable nonlinearity","year":2012,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Champlain Regional College; McGill University","funders":"Specialized Research Fund for the Doctoral Program of Higher Education of China; Fonds Québécois de la Recherche sur la Nature et les Technologies; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Physics; Combinatorics; Type (biology); Planar; Mathematical analysis; Kernel (algebra); Mathematical physics; Mathematics","score_opus":0.03224501353532057,"score_gpt":0.2860717279723639,"score_spread":0.25382671443704335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963708012","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":[0.22310236,0.00019246654,0.77497655,0.000073885385,0.00008924939,0.0008937589,0.00006178412,0.000080616745,0.00052935974],"genre_scores_gemma":[0.9728632,0.000005980646,0.02638513,0.0000175316,0.00020285237,0.000114221395,0.000073538606,0.00004794581,0.0002896016],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99854,0.000049858892,0.0003949046,0.0002694828,0.00025119353,0.00049455307],"domain_scores_gemma":[0.9987511,0.0005766238,0.00016773712,0.00022551183,0.00008125151,0.00019779603],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00037823012,0.00023589548,0.00047966212,0.000024852106,0.00016120849,0.00007299239,0.0001004938,0.00011655907,0.0000020905984],"category_scores_gemma":[0.0001254126,0.00016647213,0.000073569834,0.00007873868,0.00007998689,0.0003127165,0.000032464315,0.00014775922,0.0000031166126],"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":[0.00027402132,0.00041535415,0.0019660569,0.0013857948,0.00014706286,0.0000022664608,0.0012540303,0.00013698747,0.0037669074,0.9864738,0.000084430154,0.0040933136],"study_design_scores_gemma":[0.0019639493,0.00047072332,0.00015406123,0.0005499396,0.00026478674,0.000035752313,0.0024863721,0.8475348,0.0004231864,0.14489907,0.00043776643,0.0007796058],"about_ca_topic_score_codex":0.00004784309,"about_ca_topic_score_gemma":0.000008330736,"teacher_disagreement_score":0.8473978,"about_ca_system_score_codex":0.00005106886,"about_ca_system_score_gemma":0.000011666136,"threshold_uncertainty_score":0.67885363},"labels":[],"label_agreement":null},{"id":"W2963776844","doi":"10.3934/dcds.2019114","title":"Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","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 Manitoba","funders":"","keywords":"Nabla symbol; Omega; Bounded function; Domain (mathematical analysis); Physics; Combinatorics; Type (biology); Continuous function (set theory); Function (biology); Mathematical physics; Mathematical analysis; Mathematics; Quantum mechanics","score_opus":0.00682768210819795,"score_gpt":0.2281741281974656,"score_spread":0.22134644608926765,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963776844","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":[0.054422833,0.00020706205,0.9438154,0.00007321613,0.00004469197,0.00042770262,0.000019433877,0.00007326651,0.0009163984],"genre_scores_gemma":[0.97790504,0.000009530982,0.0218764,0.000012020422,0.000019146872,0.000065774984,0.000007993176,0.000009381348,0.00009470877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9992196,0.00001502266,0.00022755993,0.00025281578,0.0001254261,0.0001595736],"domain_scores_gemma":[0.9991399,0.0004095361,0.000053775628,0.00026761045,0.000053803127,0.00007535448],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000074676354,0.00011164706,0.00022744857,0.000049110546,0.00005895277,0.00005405278,0.00015636643,0.000047728037,8.6072987e-7],"category_scores_gemma":[0.0000392771,0.00009580033,0.000030884396,0.00010535735,0.000039536408,0.00011239122,0.000078164085,0.0000838854,0.0000080087275],"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":[0.0000024757016,0.0000393514,0.0001430926,0.000104674626,0.000022345668,5.775421e-7,0.0002048911,0.014810964,0.0026780642,0.9811254,0.0000010030645,0.00086717214],"study_design_scores_gemma":[0.00013386982,0.0000809048,0.00014223756,0.00012722347,0.000011441278,0.000006707335,0.00011029061,0.9962604,0.000053652067,0.0029369765,0.000022011609,0.00011426584],"about_ca_topic_score_codex":0.0000140739185,"about_ca_topic_score_gemma":7.592727e-7,"teacher_disagreement_score":0.9814494,"about_ca_system_score_codex":0.000017582399,"about_ca_system_score_gemma":0.000006673849,"threshold_uncertainty_score":0.3906624},"labels":[],"label_agreement":null},{"id":"W2963777697","doi":"10.3934/dcds.2016011","title":"Neumann problem for non-divergence elliptic and parabolic equations with BMO$_x$ coefficients in weighted Sobolev spaces","year":2016,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Differential Equations and Boundary Problems","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":"Sobolev space; Divergence (linguistics); Mathematics; Mathematical analysis; Parabolic partial differential equation; Pure mathematics; Partial differential equation","score_opus":0.01634509452654894,"score_gpt":0.2578958399042548,"score_spread":0.24155074537770585,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963777697","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":[0.7355659,0.00014256708,0.26239988,0.00019229346,0.00010266484,0.0012367242,0.00006956879,0.000042252275,0.00024812555],"genre_scores_gemma":[0.99715304,0.00006866907,0.00095301395,0.000008704709,0.000037920683,0.00030110154,0.000021174617,0.000027225306,0.0014291469],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985117,0.00006671816,0.00043910695,0.0003965653,0.00021904675,0.00036691735],"domain_scores_gemma":[0.99906904,0.0003327771,0.00017459225,0.0002001138,0.000103436694,0.00012006091],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00025266167,0.0002252069,0.000426534,0.00014158542,0.00018797543,0.00022293192,0.00012417177,0.00009931329,0.0000063617995],"category_scores_gemma":[0.00004460695,0.0001324868,0.000044355616,0.00021086597,0.00017067138,0.00017069302,0.000052791973,0.00007311046,0.0000032964833],"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":[0.00048693956,0.0010254518,0.068208635,0.00225855,0.000459249,0.000030734336,0.0037959437,0.000094094336,0.009449392,0.87771505,0.00045522413,0.036020722],"study_design_scores_gemma":[0.018373989,0.003163711,0.011667742,0.0073671574,0.0008045388,0.00010555934,0.0053983354,0.8022011,0.00019036769,0.14198361,0.0056076916,0.0031362101],"about_ca_topic_score_codex":0.00028430487,"about_ca_topic_score_gemma":0.00043671826,"teacher_disagreement_score":0.802107,"about_ca_system_score_codex":0.000025104368,"about_ca_system_score_gemma":0.000029083036,"threshold_uncertainty_score":0.54026556},"labels":[],"label_agreement":null},{"id":"W2963789438","doi":"10.3934/dcds.2016023","title":"Periodic solutions of the planar N-center problem with topological constraints","year":2016,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Guidance and Control Systems","field":"Engineering","cited_by":23,"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":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homotopy; Center (category theory); Planar; Mathematics; Class (philosophy); Topology (electrical circuits); Pure mathematics; Space (punctuation); Mathematical analysis; Combinatorics; Computer science","score_opus":0.005307637207479678,"score_gpt":0.17421458431840442,"score_spread":0.16890694711092474,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963789438","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":[0.96636987,0.0010623311,0.020064643,0.0005852786,0.00039851884,0.0008374579,0.00020400669,0.00017900657,0.010298883],"genre_scores_gemma":[0.9994794,0.000015672582,0.000017629853,0.000013892427,0.000054645654,0.00006457014,0.0000025392146,0.000014357664,0.00033726278],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.998987,0.00006247509,0.00030917217,0.00017033712,0.0001624412,0.0003085623],"domain_scores_gemma":[0.9995715,0.000044957036,0.00006202343,0.0002096349,0.00003628486,0.00007562462],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00011186296,0.00015532805,0.00031772305,0.000020538786,0.00008166906,0.00003490519,0.0001556557,0.00009296873,0.000009241655],"category_scores_gemma":[0.000008162759,0.00006852669,0.00007014052,0.00006326405,0.00035569223,0.00006145534,0.000024651308,0.00008282871,0.000004410642],"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":[0.00034150886,0.00027842648,0.47481817,0.0013381718,0.0015133192,0.00008837599,0.0017482293,0.00060763664,0.13932468,0.3407336,0.0025069185,0.036700998],"study_design_scores_gemma":[0.06563827,0.0063681547,0.5383385,0.028645366,0.0018003815,0.006885826,0.02699044,0.20704061,0.0017065803,0.0066542053,0.09868151,0.011250174],"about_ca_topic_score_codex":0.00006189871,"about_ca_topic_score_gemma":0.00006608413,"teacher_disagreement_score":0.33407938,"about_ca_system_score_codex":0.00002858051,"about_ca_system_score_gemma":0.0000115283165,"threshold_uncertainty_score":0.27944374},"labels":[],"label_agreement":null},{"id":"W2964056854","doi":"10.3934/dcds.2008.20.219","title":"Weighted low-regularity solutions of the KP-I initial-value problem","year":2008,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","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 Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematical proof; Mathematics; Initial value problem; Value (mathematics); Applied mathematics; Calculus (dental); Pure mathematics; Algebra over a field; Mathematical analysis; Statistics; Geometry","score_opus":0.023809153455922587,"score_gpt":0.2707844853623848,"score_spread":0.24697533190646223,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964056854","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":[0.83443004,0.0004085505,0.14733294,0.00046662087,0.00030162232,0.0022452483,0.0001410949,0.00023062558,0.014443259],"genre_scores_gemma":[0.99605954,0.000009767725,0.0030185306,0.000023738014,0.0000657373,0.000084663465,0.000008500624,0.000038153317,0.0006914002],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794763,0.00019511365,0.0007105276,0.00031398644,0.0004190689,0.00041368336],"domain_scores_gemma":[0.9984812,0.00036141093,0.0003351315,0.0005573552,0.00014167278,0.00012323615],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00029017674,0.00024995804,0.00063110125,0.000033048706,0.00031168544,0.000027412501,0.00030920244,0.0001506089,0.000006260506],"category_scores_gemma":[0.00014768432,0.00016316629,0.00019039557,0.00022731292,0.0005193551,0.0001360257,0.00024021197,0.00027837456,0.000004152767],"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":[0.000015276119,0.00020770152,0.00021645699,0.00054648553,0.000081669314,0.0000054653046,0.00046249415,0.000023180959,0.0022735083,0.99573594,0.00023360601,0.00019820228],"study_design_scores_gemma":[0.00091599,0.00010508061,0.0003931027,0.0006651233,0.00013599338,0.000122835,0.00027148295,0.03465338,0.0005198803,0.96160424,0.00017836345,0.00043452185],"about_ca_topic_score_codex":0.000109258704,"about_ca_topic_score_gemma":0.000014123952,"teacher_disagreement_score":0.16162947,"about_ca_system_score_codex":0.00004697146,"about_ca_system_score_gemma":0.000043089312,"threshold_uncertainty_score":0.66537285},"labels":[],"label_agreement":null},{"id":"W2964083000","doi":"10.3934/dcds.2011.30.17","title":"SRB measures for certain Markov processes","year":2011,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Dynamics and Fractals","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":"Concordia University","funders":"","keywords":"Ergodic theory; Monotonic function; Iterated function system; Markov chain; Mathematics; Iterated function; Upper and lower bounds; Invariant (physics); Interval (graph theory); Markov process; Invariant measure; Discrete mathematics; Function (biology); Pure mathematics; Combinatorics; Attractor; Mathematical analysis; Statistics","score_opus":0.041100044659214144,"score_gpt":0.27675154486075215,"score_spread":0.23565150020153802,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964083000","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":[0.4869363,0.0012140651,0.4542118,0.00024189692,0.0004803044,0.0036443516,0.00033358604,0.00042686885,0.05251084],"genre_scores_gemma":[0.9928191,0.000028164834,0.0042444463,0.000030842915,0.00008846838,0.00030040284,0.000018329367,0.00005063994,0.0024196573],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983866,0.00006605251,0.0005394469,0.00035730653,0.00023911006,0.0004114441],"domain_scores_gemma":[0.9986234,0.00053661235,0.00018701729,0.00028451064,0.00018640264,0.00018209108],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00048254267,0.0002591489,0.0005882675,0.000049642967,0.00012490929,0.00010621791,0.0002130814,0.00016559854,0.00002357208],"category_scores_gemma":[0.0006039931,0.00018808467,0.00011795888,0.000100312274,0.00009850952,0.00009881895,0.000044180095,0.00011067313,0.00000370349],"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":[0.00021871802,0.0003545207,0.001906611,0.0042049405,0.0002762404,0.000018172423,0.0021726326,5.933932e-7,0.00037980473,0.9831004,0.0010781434,0.006289206],"study_design_scores_gemma":[0.0027002317,0.0009415828,0.00096199306,0.0013042516,0.00057299196,0.00013990993,0.004169831,0.11318652,0.00014967765,0.86764574,0.0063357605,0.0018915106],"about_ca_topic_score_codex":0.00010857786,"about_ca_topic_score_gemma":0.00008915033,"teacher_disagreement_score":0.50588274,"about_ca_system_score_codex":0.000020122932,"about_ca_system_score_gemma":0.000021177426,"threshold_uncertainty_score":0.766987},"labels":[],"label_agreement":null},{"id":"W2964100577","doi":"10.3934/dcds.2013.33.2211","title":"Note on the blowup criterion of smooth solution to the incompressible viscoelastic flow","year":2012,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","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":"Innovation Scientists and Technicians Troop Construction Projects of Henan Province; Henan Polytechnic University; National Natural Science Foundation of China; Division of Mathematical Sciences; York University","keywords":"Compressibility; Viscoelasticity; Physics; Flow (mathematics); Mathematical physics; Combinatorics; Mathematical analysis; Mathematics; Thermodynamics; Mechanics","score_opus":0.030206243061837158,"score_gpt":0.3034811032974616,"score_spread":0.2732748602356244,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964100577","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":[0.68585426,0.0005034109,0.305434,0.0027098334,0.000981505,0.001507002,0.00013004392,0.000090887064,0.0027890552],"genre_scores_gemma":[0.99868923,0.000005803902,0.00041296307,0.00010132938,0.0002253597,0.00012349659,0.000011202212,0.000022343407,0.00040825742],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9983353,0.00032683765,0.00045079304,0.0001792563,0.00036231056,0.00034550307],"domain_scores_gemma":[0.99833584,0.00083159865,0.00018320902,0.00044620485,0.000084574756,0.00011858304],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007646939,0.00017290906,0.00030353336,0.000053718704,0.00026667296,0.00007377639,0.00022964575,0.00009132945,0.000016381287],"category_scores_gemma":[0.0003772446,0.00009389605,0.000093279996,0.00018885169,0.00010122424,0.00010852665,0.00011034302,0.00018473592,0.000031187723],"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":[0.00042606858,0.0009847145,0.005263177,0.0008600548,0.00037926354,0.000005538177,0.016833303,0.0023110167,0.023906592,0.9104246,0.015925284,0.02268041],"study_design_scores_gemma":[0.0014431765,0.00065909105,0.011920831,0.0016048069,0.00048764868,0.00005142034,0.0028386267,0.95177966,0.00049903133,0.0067195543,0.02105859,0.00093753985],"about_ca_topic_score_codex":0.00013848321,"about_ca_topic_score_gemma":0.00005018164,"teacher_disagreement_score":0.9494687,"about_ca_system_score_codex":0.000055651086,"about_ca_system_score_gemma":0.000014046212,"threshold_uncertainty_score":0.382897},"labels":[],"label_agreement":null},{"id":"W2964255709","doi":"10.3934/dcds.2017042","title":"Transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity","year":2016,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Stability and Controllability of Differential Equations","field":"Engineering","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":"University of Alberta","funders":"","keywords":"Lipschitz continuity; Monotone polygon; Sequence (biology); Nonlinear system; Space (punctuation); Front (military); Mathematics; Exponential function; Mathematical analysis; Diffusion; Ignition system; Reaction–diffusion system; Applied mathematics; Physics; Geometry; Computer science","score_opus":0.0046101087862725,"score_gpt":0.18371173434033566,"score_spread":0.17910162555406317,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2964255709","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":[0.65584916,0.00012569071,0.34281442,0.0002478865,0.000064404434,0.00038524723,0.00015004033,0.0001288979,0.00023423242],"genre_scores_gemma":[0.99963003,0.000011263777,0.0000713019,0.00001165821,0.000054305496,0.00008775128,0.00006952131,0.00001787149,0.000046272944],"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989532,0.000086802465,0.00031268917,0.0002376631,0.0001656598,0.0002439718],"domain_scores_gemma":[0.9995094,0.0001607716,0.000026949496,0.00016167751,0.000046881392,0.00009430088],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00012093919,0.00016265677,0.00029701533,0.000060041682,0.000059969818,0.00005749725,0.00006560304,0.000115891125,0.00002952276],"category_scores_gemma":[0.000026468035,0.00011439664,0.00005214675,0.00008837906,0.00009013781,0.00015768678,0.000008893653,0.000089790374,0.000016798482],"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":[0.0031355366,0.0028202778,0.018257895,0.0022334536,0.0017035124,0.00018371324,0.0072207428,0.13209468,0.19597307,0.018649055,0.00008645256,0.6176416],"study_design_scores_gemma":[0.0016689933,0.00015490953,0.0023990823,0.00018513142,0.00004234649,0.000009809709,0.00011051858,0.99465036,0.00006917103,0.00040394068,0.0000393184,0.00026643465],"about_ca_topic_score_codex":0.00018283591,"about_ca_topic_score_gemma":0.0007971826,"teacher_disagreement_score":0.8625557,"about_ca_system_score_codex":0.00008022151,"about_ca_system_score_gemma":0.000010889094,"threshold_uncertainty_score":0.46649596},"labels":[],"label_agreement":null},{"id":"W2980445325","doi":"10.3934/dcds.2020001","title":"Stationary states of the cubic conformal flow on &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ \\mathbb{S}^3 $&lt;/tex-math&gt;&lt;/inline-formula&gt;","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","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":"McMaster University","funders":"","keywords":"Conformal map; Bifurcation; Invariant (physics); Saddle point; Flow (mathematics); Mathematical physics; Mathematics; Variational principle; Saddle; Mathematical analysis; Stability (learning theory); Physics; Quantum mechanics; Geometry; Nonlinear system","score_opus":0.009881813158343944,"score_gpt":0.2510370493466779,"score_spread":0.24115523618833398,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980445325","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":[0.9636466,0.000752667,0.02107586,0.0003383408,0.0009369807,0.0042396244,0.001472666,0.00042807774,0.0071092206],"genre_scores_gemma":[0.9900456,0.00012209642,0.0038177595,0.00018341371,0.00027199453,0.00026886302,0.0005668328,0.00026029482,0.004463152],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99243724,0.00029581808,0.0027527348,0.0011411111,0.0018860298,0.0014870419],"domain_scores_gemma":[0.9938429,0.0017035856,0.0015406073,0.0018229089,0.0006000931,0.0004899331],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0011941162,0.0012443151,0.0023446914,0.00021438308,0.00041233053,0.00028512147,0.0011637367,0.00055750395,0.000050307914],"category_scores_gemma":[0.00042975426,0.00085716875,0.0006722276,0.00055695174,0.0005022884,0.00086097943,0.0006183453,0.00082149875,0.0002102644],"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":[0.00029357066,0.0007366336,0.00021080422,0.0031296941,0.0005027577,0.000024756375,0.0018548536,0.0027136183,0.01239074,0.97502834,0.0007108512,0.002403383],"study_design_scores_gemma":[0.003912742,0.0010475522,0.00032464418,0.0022250768,0.00042243977,0.00011056821,0.0009925185,0.82056373,0.0006142809,0.16124435,0.006807545,0.0017345524],"about_ca_topic_score_codex":0.0000423737,"about_ca_topic_score_gemma":0.00005202372,"teacher_disagreement_score":0.8178501,"about_ca_system_score_codex":0.00026498997,"about_ca_system_score_gemma":0.00018222534,"threshold_uncertainty_score":0.9993879},"labels":[],"label_agreement":null},{"id":"W2981115309","doi":"10.3934/dcds.2020049","title":"Spike solutions for a mass conservation reaction-diffusion system","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","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":"","keywords":"Spike (software development); Reaction–diffusion system; Conservation of mass; Diffusion; Polarity (international relations); Statistical physics; Pulse (music); Conservation law; Physics; Classical mechanics; Computer science; Mathematical analysis; Mathematics; Mechanics; Chemistry; Thermodynamics; Cell; Optics","score_opus":0.014406824563645306,"score_gpt":0.25253727997298914,"score_spread":0.23813045540934383,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2981115309","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":[0.80098945,0.00017837729,0.18407857,0.0019730253,0.00044474,0.0015299744,0.000032301763,0.0001293632,0.010644185],"genre_scores_gemma":[0.99642164,0.000010993998,0.00027837625,0.0002472273,0.0000925732,0.00016081487,0.00007894899,0.000013564239,0.0026958843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9987387,0.000089659836,0.00042378204,0.00029782933,0.000092850365,0.0003571529],"domain_scores_gemma":[0.9989921,0.00046671668,0.00010449187,0.00019170997,0.000087389155,0.00015763391],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006203232,0.00014367061,0.00058993656,0.00003967468,0.00015355452,0.000016129457,0.000045532062,0.00026899404,0.000019885787],"category_scores_gemma":[0.00016237915,0.000100485886,0.00012443653,0.000052950774,0.00012174385,0.000050401337,0.00002857777,0.00014842521,0.000037641148],"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":[0.00025600198,0.000047244343,0.005253257,0.0007587044,0.000071791685,0.000003554061,0.000032808548,0.0000061407013,0.0052756346,0.9880174,0.00013472943,0.00014275342],"study_design_scores_gemma":[0.0019620075,0.00057163846,0.004103221,0.00051323324,0.00022216358,0.00016289191,0.0007720112,0.9806466,0.000009724223,0.008994452,0.0018284889,0.00021353208],"about_ca_topic_score_codex":0.000082440776,"about_ca_topic_score_gemma":0.0000041387348,"teacher_disagreement_score":0.9806405,"about_ca_system_score_codex":0.000043175343,"about_ca_system_score_gemma":0.000017900846,"threshold_uncertainty_score":0.40976954},"labels":[],"label_agreement":null},{"id":"W2981227476","doi":"10.3934/dcds.2020052","title":"Type Ⅱ finite time blow-up for the energy critical heat equation in &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ \\mathbb{R}^4 $&lt;/tex-math&gt;&lt;/inline-formula&gt;","year":2019,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":25,"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":"Engineering and Physical Sciences Research Council","keywords":"Energy (signal processing); Physics; Type (biology); Combinatorics; Heat equation; Mathematical physics; Mathematics; Quantum mechanics","score_opus":0.017457632993371025,"score_gpt":0.27504564824435657,"score_spread":0.2575880152509855,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2981227476","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":[0.6521977,0.0034363777,0.3264118,0.0014606524,0.002300677,0.00713623,0.0008626134,0.00089940475,0.005294497],"genre_scores_gemma":[0.9886382,0.00013656021,0.003722598,0.00024437584,0.000570655,0.0006237259,0.0004549298,0.00030698391,0.005301929],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9930359,0.0003077829,0.0023860636,0.0013358633,0.0012648482,0.0016695418],"domain_scores_gemma":[0.99114466,0.0056486065,0.00055183115,0.0015558073,0.0006224801,0.00047664164],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0015929339,0.0011527144,0.0021938463,0.00022881947,0.00040632696,0.00045336262,0.0009427716,0.0007294574,0.00006451377],"category_scores_gemma":[0.0017963883,0.0008401548,0.00053809484,0.000631528,0.00037815698,0.0007415149,0.0004654901,0.0006532516,0.00026446587],"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":[0.00029533368,0.00047430064,0.0000384991,0.0015134462,0.00023773876,0.000020672574,0.00065084297,0.0008279908,0.016268825,0.9769681,0.00046222674,0.0022420322],"study_design_scores_gemma":[0.0023627784,0.00059705786,0.000029396158,0.0009637063,0.00031284045,0.000050944946,0.00019747468,0.8335253,0.00016948553,0.1542863,0.0064244033,0.0010803025],"about_ca_topic_score_codex":0.00006799294,"about_ca_topic_score_gemma":0.0000995523,"teacher_disagreement_score":0.83269733,"about_ca_system_score_codex":0.00030854254,"about_ca_system_score_gemma":0.00014475829,"threshold_uncertainty_score":0.9994049},"labels":[],"label_agreement":null},{"id":"W3003034186","doi":"10.3934/dcds.2020109","title":"Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization","year":2020,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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":"Infinity; Chemotaxis; Advection; Coral; Sperm; Human fertilization; Physics; Mathematics; Applied mathematics; Biology; Ecology; Mathematical analysis; Quantum mechanics; Receptor; Anatomy","score_opus":0.016087446513445552,"score_gpt":0.2519187398889591,"score_spread":0.23583129337551353,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3003034186","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":[0.94823134,0.00025087662,0.049579736,0.00008822413,0.00006868762,0.00061321695,0.00006882693,0.00014900975,0.00095005624],"genre_scores_gemma":[0.99949884,0.000004195351,0.00027504194,0.000018592704,0.000049807655,0.000022031827,0.000035599474,0.00002735863,0.000068504465],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9981444,0.00014500757,0.00073990226,0.00041568078,0.00025571755,0.0002993117],"domain_scores_gemma":[0.9991111,0.000109087254,0.0002204037,0.00021386276,0.000101676706,0.00024385836],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002460817,0.0002702398,0.00083148247,0.000025884274,0.000075358425,0.000063152555,0.00017223554,0.00020271381,0.000008621007],"category_scores_gemma":[0.00014290847,0.00021787656,0.00008641701,0.0001565337,0.00013869487,0.00008530077,0.00013831956,0.0001049395,0.000007031269],"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":[0.0013649673,0.0006493149,0.16878335,0.025794018,0.0007869885,0.0003026752,0.0037146898,0.00047905778,0.020211551,0.7756847,0.00041565724,0.0018130012],"study_design_scores_gemma":[0.0007618489,0.00019800662,0.00054432073,0.0004687213,0.00020223869,0.000095980075,0.0009982344,0.99520856,0.00006413738,0.0011402074,0.000003393248,0.0003143636],"about_ca_topic_score_codex":0.000064363645,"about_ca_topic_score_gemma":0.0000059251215,"teacher_disagreement_score":0.9947295,"about_ca_system_score_codex":0.00004819885,"about_ca_system_score_gemma":0.000015226145,"threshold_uncertainty_score":0.8884748},"labels":[],"label_agreement":null},{"id":"W3010216137","doi":"10.3934/dcds.2021114","title":"Families of vector fields with many numerical invariants","year":2021,"lang":"en","type":"preprint","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Differential Equations and Dynamical Systems","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 Toronto","funders":"","keywords":"Construct (python library); Vector field; Finite field; Planar; Mathematics; Pure mathematics; Field (mathematics); Vector potential; Discrete mathematics; Computer science; Physics; Geometry; Quantum mechanics","score_opus":0.016796007050080154,"score_gpt":0.26658134379759424,"score_spread":0.24978533674751408,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3010216137","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":[0.5170722,0.0005727352,0.4798528,0.00006582458,0.0004297153,0.00072543474,0.0001416451,0.00008141627,0.0010582294],"genre_scores_gemma":[0.9963773,0.00006418007,0.0024341282,0.000012992501,0.00014513062,0.00015946398,0.0001785928,0.00006073357,0.0005674939],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99712306,0.00025969854,0.0009954711,0.0007066582,0.0005184038,0.00039672092],"domain_scores_gemma":[0.99786925,0.00040966592,0.00059258903,0.0006945786,0.00023235976,0.00020154145],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00019123759,0.00048639785,0.001572788,0.00008783909,0.00008999537,0.00020489695,0.00029851004,0.0005460719,0.000022139866],"category_scores_gemma":[0.0001844218,0.00035543012,0.0002257842,0.00015806848,0.00015845534,0.00008563836,0.0004667688,0.0005833905,0.0000011502759],"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":[0.00070695806,0.0016774272,0.024224773,0.018708888,0.0036135153,0.0004334797,0.0048583657,0.0034813185,0.002061664,0.92909163,0.0002970548,0.010844948],"study_design_scores_gemma":[0.0047923136,0.0013109171,0.012893808,0.012577383,0.0017709265,0.0002633707,0.012594609,0.9030361,0.00013031247,0.046147227,0.0003947581,0.004088285],"about_ca_topic_score_codex":0.0014390072,"about_ca_topic_score_gemma":0.00017724007,"teacher_disagreement_score":0.8995548,"about_ca_system_score_codex":0.000059698566,"about_ca_system_score_gemma":0.00007507554,"threshold_uncertainty_score":0.9998898},"labels":[],"label_agreement":null},{"id":"W3037814375","doi":"10.3934/dcds.2020249","title":"Analysis of a spatial memory model with nonlocal maturation delay and hostile boundary condition","year":2020,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":66,"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":"Mathematics; Mathematical analysis; Neumann boundary condition; Bifurcation; Dirichlet boundary condition; Diffusion equation; Hopf bifurcation; Boundary value problem; Eigenvalues and eigenvectors; Operator (biology); Boundary (topology); Stability (learning theory); Heat equation; Physics; Nonlinear system; Computer science","score_opus":0.008754787151229534,"score_gpt":0.2426868351328141,"score_spread":0.23393204798158457,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3037814375","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":[0.6019375,0.00011100898,0.39603674,0.00083773036,0.000011406724,0.00020727004,0.000038026647,0.00001950268,0.00080084597],"genre_scores_gemma":[0.9991369,0.0000144772275,0.000199036,0.00039320963,0.00003214176,0.000020815669,0.0001280438,0.0000074222694,0.00006794706],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99905014,0.000079273406,0.00034928208,0.00025467717,0.000108757675,0.00015786567],"domain_scores_gemma":[0.99938834,0.0001621676,0.000100106314,0.00009291271,0.000055416127,0.00020104404],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00017820478,0.00012707492,0.000746817,0.00004560756,0.000060819195,0.000013471441,0.00003060643,0.00016240776,0.000027348997],"category_scores_gemma":[0.00009228248,0.00008106911,0.000074554955,0.00010336982,0.00040551537,0.00004691629,0.00002771148,0.0001496519,0.0000011199728],"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":[0.013362929,0.0006839365,0.040002305,0.0035846934,0.008837699,0.0002805312,0.0038086039,0.01926891,0.005700228,0.89677995,0.00019430796,0.0074959323],"study_design_scores_gemma":[0.0006693825,0.0005080889,0.0048602805,0.000059835565,0.0013498215,0.000034920457,0.00017531763,0.99155533,0.0000095343075,0.0006723129,0.0000069486555,0.00009824642],"about_ca_topic_score_codex":0.00008901222,"about_ca_topic_score_gemma":0.00002448839,"teacher_disagreement_score":0.9722864,"about_ca_system_score_codex":0.000007469439,"about_ca_system_score_gemma":0.000018222227,"threshold_uncertainty_score":0.33059025},"labels":[],"label_agreement":null},{"id":"W3046104424","doi":"10.3934/dcds.2020285","title":"Identifying varying magnetic anomalies using geomagnetic monitoring","year":2020,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Geophysical and Geoelectrical Methods","field":"Earth and Planetary Sciences","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":"Toronto Metropolitan University","funders":"","keywords":"Earth's magnetic field; Secular variation; Magnetic anomaly; Variation (astronomy); Geophysics; Anomaly (physics); Geology; Geomagnetic secular variation; Inverse problem; Magnetic field; Geodesy; Statistical physics; Physics; Mathematics; Geomagnetic storm; Mathematical analysis; Condensed matter physics","score_opus":0.025397174774628016,"score_gpt":0.2419088165951383,"score_spread":0.21651164182051028,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3046104424","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":[0.9884917,0.0052966434,0.0042725867,0.0001795816,0.00035358127,0.00023296099,0.000021953514,0.00009291246,0.0010580663],"genre_scores_gemma":[0.9978695,0.000038803715,0.0014542943,0.000070807364,0.00042256975,0.0000023241932,0.000012443949,0.000007964401,0.0001212897],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9982928,0.00018240129,0.00033971661,0.00043300024,0.000273029,0.00047906683],"domain_scores_gemma":[0.9992388,0.00017199255,0.00008256154,0.000116991905,0.00003190551,0.00035773186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00013669874,0.00021737661,0.00040287134,0.000039420764,0.00021719736,0.00029272755,0.00018406461,0.00009005653,0.00007959418],"category_scores_gemma":[0.00007073122,0.00017406524,0.000085520674,0.00030622067,0.000082600694,0.00017311958,0.000037298676,0.00021355959,0.0000319227],"study_design_candidate":"observational","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":[0.00017107226,0.00003315318,0.52813387,0.0005932872,0.000090078735,0.00019653076,0.0010298425,0.004274576,0.012410042,0.0005911494,0.000017372473,0.45245907],"study_design_scores_gemma":[0.00042891942,0.00055560184,0.255927,0.00010934203,0.0000869006,0.000043524808,0.0005435774,0.74089026,0.00008754546,0.0005804222,0.00026167926,0.0004852133],"about_ca_topic_score_codex":0.002355332,"about_ca_topic_score_gemma":0.000012099213,"teacher_disagreement_score":0.7366157,"about_ca_system_score_codex":0.000004197331,"about_ca_system_score_gemma":0.00001074463,"threshold_uncertainty_score":0.70981747},"labels":[],"label_agreement":null},{"id":"W3093189544","doi":"10.3934/dcds.2020349","title":"Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations","year":2020,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":8,"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":"Inflow; Discontinuity (linguistics); Radiative transfer; Euler equations; Mathematics; Degenerate energy levels; Mathematical analysis; Physics; Euler's formula; Boundary value problem; Mechanics; Classical mechanics","score_opus":0.05919500913881074,"score_gpt":0.2824413879382928,"score_spread":0.2232463787994821,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3093189544","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":[0.61859465,0.0007453223,0.36649948,0.005058803,0.00032558094,0.0065519474,0.001428546,0.00007782634,0.0007178622],"genre_scores_gemma":[0.9987475,0.0000030968972,0.0008661436,0.00005276694,0.000055599918,0.00017741857,0.000019505767,0.000019358642,0.000058596543],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99812466,0.00029190828,0.00075659755,0.00023563732,0.00038567313,0.00020551839],"domain_scores_gemma":[0.9954432,0.0033485978,0.00049008266,0.00032627798,0.00030683668,0.000084984895],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00055657164,0.00016128134,0.0004879056,0.000020597421,0.00018600635,0.00002992296,0.00019847903,0.000091397254,0.000015700829],"category_scores_gemma":[0.001044335,0.00009514826,0.0002080358,0.00018183372,0.00021765902,0.000082503844,0.00009832311,0.00016450985,0.0000010456898],"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":[0.00030209665,0.00043585486,0.005077614,0.0013826055,0.0010706809,8.122749e-7,0.010975564,0.0018717997,0.021830736,0.95519954,0.0004904569,0.0013622502],"study_design_scores_gemma":[0.0026157217,0.0005533014,0.0064313663,0.00043486722,0.0007920328,0.0000054754405,0.0032886243,0.9672716,0.0008603413,0.016892103,0.00044858333,0.0004059308],"about_ca_topic_score_codex":0.0001241893,"about_ca_topic_score_gemma":0.00006261325,"teacher_disagreement_score":0.96539986,"about_ca_system_score_codex":0.00005169644,"about_ca_system_score_gemma":0.00008739122,"threshold_uncertainty_score":0.38800332},"labels":[],"label_agreement":null},{"id":"W3134601277","doi":"10.3934/dcds.2022003","title":"Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on $ \\mathbb{R}^{N} $","year":2022,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","field":"Mathematics","cited_by":16,"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":"Nabla symbol; Combinatorics; Mathematics; Arithmetic; Physics; Omega","score_opus":0.02221005521083295,"score_gpt":0.24518157529360682,"score_spread":0.22297152008277388,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3134601277","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":[0.9920224,0.0004394781,0.0032261238,0.00016801919,0.00011481812,0.00089095667,0.00005087121,0.0001508601,0.002936478],"genre_scores_gemma":[0.99863416,0.000011033084,0.00016102672,0.00006033688,0.00003702048,0.0003295451,0.00001119869,0.000040279072,0.0007154027],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99742407,0.0003792914,0.00058885856,0.0006646342,0.00040661488,0.00053650973],"domain_scores_gemma":[0.99847484,0.0006125238,0.00024974887,0.00042554908,0.000037003585,0.00020032159],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0006363583,0.00035740816,0.0008843144,0.00010696716,0.00025340778,0.000072000985,0.00029900807,0.00010945284,0.000018177603],"category_scores_gemma":[0.00017382737,0.00026940156,0.00006549032,0.00025001538,0.000334071,0.000047306887,0.00021629863,0.00042359132,0.000006834597],"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":[0.0005101659,0.00032715962,0.034977622,0.002158818,0.00015064102,0.00033800682,0.0025938672,0.00014653931,0.0005078147,0.9576032,0.00012591165,0.0005602235],"study_design_scores_gemma":[0.011146623,0.0059589874,0.028485287,0.0038465625,0.00067171006,0.007345393,0.07962387,0.83740294,0.00012600819,0.01734322,0.0031625838,0.0048868265],"about_ca_topic_score_codex":0.00024847008,"about_ca_topic_score_gemma":0.00004108353,"teacher_disagreement_score":0.94026,"about_ca_system_score_codex":0.00012738758,"about_ca_system_score_gemma":0.000025297626,"threshold_uncertainty_score":0.9999758},"labels":[],"label_agreement":null},{"id":"W3173306596","doi":"10.3934/dcds.2022097","title":"Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold","year":2022,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","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":"McGill University","funders":"","keywords":"Riemannian manifold; Constant (computer programming); Manifold (fluid mechanics); Nonlinear system; Mathematics; Invariant manifold; Mathematical analysis; Bifurcation; Pure mathematics; Closed manifold; Synchronization (alternating current); Physics; Topology (electrical circuits); Computer science; Combinatorics; Quantum mechanics","score_opus":0.010404999853014574,"score_gpt":0.22628947080356882,"score_spread":0.21588447095055424,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3173306596","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":[0.08055598,0.00036228704,0.9154063,0.00030763078,0.0009810928,0.0009772046,0.000033557266,0.00036107196,0.0010149175],"genre_scores_gemma":[0.9908457,0.0000044246135,0.007731522,0.00009801192,0.0001423454,0.00047057614,0.0000100413645,0.000043144813,0.00065427145],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99746364,0.00009376756,0.0005436823,0.00067618326,0.00055672583,0.00066602294],"domain_scores_gemma":[0.9986481,0.0001618746,0.00011548374,0.0007045314,0.00006489011,0.00030513844],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00045185097,0.0003013103,0.0005364895,0.00016051001,0.0004646148,0.00031628273,0.00073435175,0.00007369813,0.00000367581],"category_scores_gemma":[0.0000550999,0.0002783632,0.000102816426,0.0003878551,0.000028294005,0.00017569115,0.00060921337,0.00037176022,0.00003304788],"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":[0.000040552535,0.00017900507,0.000046173078,0.00031424526,0.00009658174,0.00010720495,0.00079353916,0.46720496,0.0028403373,0.52729326,0.00021566925,0.00086847955],"study_design_scores_gemma":[0.0004607088,0.00029579175,0.000043353582,0.00018084949,0.000016984164,0.00006534665,0.000264066,0.99641764,0.0000055234273,0.00027515405,0.0015986956,0.00037588924],"about_ca_topic_score_codex":0.00008280555,"about_ca_topic_score_gemma":0.000002653435,"teacher_disagreement_score":0.9102897,"about_ca_system_score_codex":0.0002198833,"about_ca_system_score_gemma":0.000027666687,"threshold_uncertainty_score":0.99996686},"labels":[],"label_agreement":null},{"id":"W3195982168","doi":"10.3934/dcds.2022033","title":"Dynamically learning the parameters of a chaotic system using partial observations","year":2022,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Meteorological Phenomena and Simulations","field":"Earth and Planetary Sciences","cited_by":34,"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":"Chaotic; Observable; Computer science; Nonlinear system; Lorenz system; Convergence (economics); Applied mathematics; Algorithm; Dynamical systems theory; Data assimilation; State (computer science); Dynamical system (definition); Estimation theory; Mathematics; Artificial intelligence","score_opus":0.02533913619464203,"score_gpt":0.21514709273772614,"score_spread":0.1898079565430841,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3195982168","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":[0.99443996,0.00036595686,0.0036486886,0.00010439894,0.00026376016,0.0003725202,0.00010585177,0.00004606712,0.0006528255],"genre_scores_gemma":[0.9995536,0.00000268378,0.00015728071,0.00003398218,0.00003404834,0.0000118052885,0.000096551994,0.0000046194104,0.000105431565],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99816096,0.000576862,0.00043012312,0.0002411944,0.0003184103,0.00027244596],"domain_scores_gemma":[0.99909186,0.00041698222,0.00019604058,0.00016593013,0.000033408625,0.00009576658],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005248013,0.00012701207,0.00030739838,0.00004221061,0.00070466404,0.000070539434,0.00021470165,0.000042825242,0.00006433552],"category_scores_gemma":[0.000060000057,0.000083008745,0.000087154156,0.00024162156,0.00013623612,0.0000680679,0.00004875312,0.0002514575,0.0000018490384],"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":[0.00006570458,0.00001745167,0.26079714,0.00006348855,0.00006658505,0.000008767871,0.0003474906,0.72911286,0.0002346523,0.007649383,0.0000035808246,0.0016329072],"study_design_scores_gemma":[0.00014969076,0.00018765902,0.051588822,0.000015533455,0.00004949315,0.000022055081,0.0028093655,0.94480586,3.8328528e-7,0.000104737104,0.00015304796,0.000113366514],"about_ca_topic_score_codex":0.002639837,"about_ca_topic_score_gemma":0.000073255535,"teacher_disagreement_score":0.21569301,"about_ca_system_score_codex":0.000014935075,"about_ca_system_score_gemma":0.00001945025,"threshold_uncertainty_score":0.5419777},"labels":[],"label_agreement":null},{"id":"W4226065823","doi":"10.3934/dcds.2022044","title":"Local behavior of solutions to a fractional equation with isolated singularity and critical Serrin exponent","year":2022,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Partial Differential Equations","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":"Fractional Laplacian; Exponent; Mathematics; Combinatorics; Arithmetic; Mathematical analysis","score_opus":0.03445579941741282,"score_gpt":0.29976639116038006,"score_spread":0.26531059174296723,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4226065823","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":[0.55520415,0.000039744195,0.44385427,0.00023090518,0.000072674724,0.00038547567,0.00014481688,0.000030498813,0.00003748602],"genre_scores_gemma":[0.99837464,7.4302255e-7,0.0011756895,0.000015573163,0.00003094311,0.00023522759,0.000064677806,0.000018116516,0.00008437343],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9985963,0.00020183502,0.00036479573,0.00024980612,0.00036714523,0.00022011818],"domain_scores_gemma":[0.9992471,0.00025566833,0.00008944775,0.0001530358,0.00010993738,0.00014485019],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00023767242,0.00012853275,0.00028857007,0.000071887014,0.00029990028,0.00004993799,0.00006732351,0.00005483336,0.0000434387],"category_scores_gemma":[0.00013026316,0.000115589966,0.000041354906,0.0001399908,0.00012661747,0.00007306441,0.00013956765,0.00018487727,0.000001009542],"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":[0.00085947546,0.0020686379,0.010776882,0.00042187222,0.00026830894,0.000056017678,0.0020192491,0.0012156075,0.019792361,0.9588234,0.00012913736,0.0035690758],"study_design_scores_gemma":[0.0019502038,0.0024678719,0.019992426,0.00019957771,0.0007269913,0.0002793457,0.0057317913,0.95455605,0.000121179066,0.012849224,0.00031576992,0.00080958684],"about_ca_topic_score_codex":0.0006282876,"about_ca_topic_score_gemma":0.0001857785,"teacher_disagreement_score":0.9533404,"about_ca_system_score_codex":0.000067141,"about_ca_system_score_gemma":0.00003263212,"threshold_uncertainty_score":0.4713622},"labels":[],"label_agreement":null},{"id":"W4231408903","doi":"10.3934/dcds.2010.28.3i","title":"Preface","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"History and Theory of Mathematics","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":"Library science; Join (topology); Mathematics; Art history; Computer science; History; Combinatorics","score_opus":0.01177233671092228,"score_gpt":0.25739542934342446,"score_spread":0.24562309263250218,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4231408903","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":[0.9676333,0.00009719723,0.0040336424,0.000112696005,0.0005740942,0.00031549935,0.000015802829,0.00015413959,0.027063604],"genre_scores_gemma":[0.9904918,0.0000048002717,0.0010716798,0.000024625966,0.00013200022,0.00002786208,0.000004119138,0.00002697822,0.008216129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902725,0.00007062913,0.00029990647,0.00022308336,0.00014475758,0.00023435739],"domain_scores_gemma":[0.9991074,0.00026320905,0.0001115763,0.00033506565,0.000039397677,0.00014335939],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043310924,0.00016566565,0.00033918887,0.000031638112,0.0001365126,0.00006884326,0.00016429271,0.00014538465,0.000036912028],"category_scores_gemma":[0.00020399012,0.00012917192,0.0000700708,0.00004547277,0.00014333507,0.00007751693,0.00004827031,0.00026413254,0.000018061537],"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":[0.000014637593,0.00005725778,0.00014259692,0.00016792087,0.000033534492,0.000008088789,0.00057873735,5.2804586e-7,0.002418585,0.9946966,0.0005355531,0.0013459554],"study_design_scores_gemma":[0.0020249751,0.00033134012,0.0003822669,0.00036544804,0.00028151646,0.00054828497,0.002626194,0.026626538,0.00027761736,0.7826204,0.18233448,0.0015809864],"about_ca_topic_score_codex":0.000019199235,"about_ca_topic_score_gemma":0.000033875072,"teacher_disagreement_score":0.21207625,"about_ca_system_score_codex":0.000010080572,"about_ca_system_score_gemma":0.000009924304,"threshold_uncertainty_score":0.5267478},"labels":[],"label_agreement":null},{"id":"W4235250777","doi":"10.3934/dcds.2011.30.2i","title":"Preface","year":2011,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"History and Theory of Mathematics","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":"Graduate students; Library science; Psychology; Computer science; Pedagogy","score_opus":0.03368362191943268,"score_gpt":0.2533917789373012,"score_spread":0.2197081570178685,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4235250777","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":[0.86806184,0.00038712117,0.013826938,0.000030974,0.00033765874,0.00044509716,0.000017221955,0.00021743294,0.116675735],"genre_scores_gemma":[0.9908412,0.0000109434695,0.001359884,0.000021778982,0.00005214434,0.00002947863,0.0000025756663,0.000026740548,0.0076552737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900365,0.00010697067,0.0003153934,0.00021645785,0.00012421403,0.00023331698],"domain_scores_gemma":[0.9992996,0.00013345352,0.000118233904,0.00028727352,0.000034225013,0.00012724531],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00034953185,0.00016534608,0.00034806752,0.000032386135,0.00010767677,0.00002986786,0.0001550741,0.00010517776,0.000048829083],"category_scores_gemma":[0.00009325001,0.00012897927,0.00007079377,0.000045728877,0.000119234,0.00008174301,0.00004892701,0.00011375892,0.00002045013],"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":[0.00003250172,0.000087754735,0.00019706256,0.00021196896,0.000056277135,0.000015125202,0.0029297373,2.0780722e-7,0.000101504214,0.9949696,0.00039076756,0.0010075031],"study_design_scores_gemma":[0.0016111769,0.00053761806,0.0005476673,0.00058234547,0.00032539808,0.00031016025,0.00606419,0.009125174,0.00018616223,0.9502448,0.02912951,0.0013358074],"about_ca_topic_score_codex":0.00003985052,"about_ca_topic_score_gemma":0.000009356991,"teacher_disagreement_score":0.12277936,"about_ca_system_score_codex":0.000018536974,"about_ca_system_score_gemma":0.000007482945,"threshold_uncertainty_score":0.5259622},"labels":[],"label_agreement":null},{"id":"W4239631868","doi":"10.3934/dcds.2010.28.2i","title":"Preface","year":2010,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"History and Theory of Mathematics","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":"Library science; Mathematics; Art history; Computer science; History","score_opus":0.01177233671092228,"score_gpt":0.25739542934342446,"score_spread":0.24562309263250218,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4239631868","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":[0.9676333,0.00009719723,0.0040336424,0.000112696005,0.0005740942,0.00031549935,0.000015802829,0.00015413959,0.027063604],"genre_scores_gemma":[0.9904918,0.0000048002717,0.0010716798,0.000024625966,0.00013200022,0.00002786208,0.000004119138,0.00002697822,0.008216129],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902725,0.00007062913,0.00029990647,0.00022308336,0.00014475758,0.00023435739],"domain_scores_gemma":[0.9991074,0.00026320905,0.0001115763,0.00033506565,0.000039397677,0.00014335939],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043310924,0.00016566565,0.00033918887,0.000031638112,0.0001365126,0.00006884326,0.00016429271,0.00014538465,0.000036912028],"category_scores_gemma":[0.00020399012,0.00012917192,0.0000700708,0.00004547277,0.00014333507,0.00007751693,0.00004827031,0.00026413254,0.000018061537],"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":[0.000014637593,0.00005725778,0.00014259692,0.00016792087,0.000033534492,0.000008088789,0.00057873735,5.2804586e-7,0.002418585,0.9946966,0.0005355531,0.0013459554],"study_design_scores_gemma":[0.0020249751,0.00033134012,0.0003822669,0.00036544804,0.00028151646,0.00054828497,0.002626194,0.026626538,0.00027761736,0.7826204,0.18233448,0.0015809864],"about_ca_topic_score_codex":0.000019199235,"about_ca_topic_score_gemma":0.000033875072,"teacher_disagreement_score":0.21207625,"about_ca_system_score_codex":0.000010080572,"about_ca_system_score_gemma":0.000009924304,"threshold_uncertainty_score":0.5267478},"labels":[],"label_agreement":null},{"id":"W4252238992","doi":"10.3934/dcds.2020387","title":"Editorial","year":2020,"lang":"en","type":"editorial","venue":"Discrete and Continuous Dynamical Systems","topic":"Water Resources and Management","field":"Environmental Science","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","funders":"","keywords":"Dynamical systems theory; Computer science; Citation; Mathematical economics; Physics; Mathematics; Library science; Quantum mechanics","score_opus":0.002738136717374679,"score_gpt":0.19232159083540018,"score_spread":0.1895834541180255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4252238992","genre_codex":"editorial","genre_gemma":"editorial","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"editorial","genre_consensus":"editorial","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00037501857,0.00016549435,0.00017153678,0.00013814186,0.9883142,0.00049774215,0.00015827843,0.00010341261,0.010076153],"genre_scores_gemma":[0.006565209,0.000056313726,0.000014521532,0.000028082086,0.9865371,0.000070009555,0.00033414358,0.000052622996,0.006341972],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99729496,0.00009647333,0.00039575656,0.00073711545,0.0010535693,0.00042214638],"domain_scores_gemma":[0.9991438,0.00009244549,0.00017824644,0.00029357048,0.00001363607,0.00027831894],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00019888746,0.0003734985,0.0005923142,0.00002027731,0.000116704694,0.000330064,0.0004213767,0.0005834305,0.000081402584],"category_scores_gemma":[0.00008124222,0.00029533394,0.00012622433,0.00008481229,0.00014558982,0.000085858424,0.00072328415,0.00054661493,0.0002152179],"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":[0.0000347424,0.000012809411,0.000101859325,0.00008068148,0.000044263663,0.00001678503,0.000096744865,0.000023781393,0.000023845836,0.000046725534,0.998866,0.0006517691],"study_design_scores_gemma":[0.00038633443,0.0001470623,0.000023109451,0.000058302183,0.00007742728,7.644626e-7,0.000081760365,0.0014837903,3.2051577e-7,0.000036686888,0.9973138,0.00039064552],"about_ca_topic_score_codex":0.0029807414,"about_ca_topic_score_gemma":0.00008221443,"teacher_disagreement_score":0.0061901906,"about_ca_system_score_codex":0.000113851034,"about_ca_system_score_gemma":0.000007892803,"threshold_uncertainty_score":0.9999499},"labels":[],"label_agreement":null},{"id":"W4309209951","doi":"10.3934/dcds.2022152","title":"A nonlinear elliptic problem involving the gradient on a half space","year":2022,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Partial Differential Equations","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 Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Nabla symbol; Bounded function; Physics; Space (punctuation); Hamilton–Jacobi equation; Combinatorics; Mathematical analysis; Zero (linguistics); Elliptic curve; Mathematical physics; Nonlinear system; Mathematics; Quantum mechanics; Omega","score_opus":0.0222324766058948,"score_gpt":0.26741160460279134,"score_spread":0.24517912799689653,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4309209951","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":[0.9870772,0.00043942555,0.0052032983,0.002469947,0.00047522725,0.0016391332,0.00012568277,0.00017340461,0.0023966776],"genre_scores_gemma":[0.9967463,0.000008157399,0.0004702911,0.000069264854,0.00017894854,0.0003350108,0.000043841424,0.000042028627,0.002106183],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9980364,0.00038835732,0.00041387012,0.00033804635,0.00046625696,0.0003571134],"domain_scores_gemma":[0.9988722,0.00041249837,0.00017954265,0.0003867688,0.00004527561,0.00010371019],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045993263,0.00020980732,0.00034257746,0.000058060803,0.00057246536,0.00015588912,0.0002610978,0.00004912006,0.00002747872],"category_scores_gemma":[0.000121713194,0.00014369706,0.00011906678,0.00019489833,0.000086751104,0.000044171356,0.00021686261,0.00037574288,0.000012289803],"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":[0.00010477584,0.00048780756,0.0006545133,0.00020749401,0.00018879732,0.0000327391,0.0025032016,0.00041942074,0.0023609393,0.9915587,0.0007497946,0.0007318631],"study_design_scores_gemma":[0.0016832198,0.0013318612,0.00033077667,0.0003026456,0.00033356267,0.00012427689,0.006595064,0.9372132,0.00008369895,0.03379488,0.017294994,0.0009118206],"about_ca_topic_score_codex":0.00039249426,"about_ca_topic_score_gemma":0.0001240546,"teacher_disagreement_score":0.9577638,"about_ca_system_score_codex":0.00008977909,"about_ca_system_score_gemma":0.000025919095,"threshold_uncertainty_score":0.5859796},"labels":[],"label_agreement":null},{"id":"W4385671678","doi":"10.3934/dcds.2023086","title":"Systems of Stieltjes differential equations and application to a predator-prey model of an exploited fishery","year":2023,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","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":"Université de Montréal","funders":"Centre National pour la Recherche Scientifique et Technique","keywords":"Monotonic function; Predation; Differential equation; Mathematics; Applied mathematics; Boundary value problem; Fish <Actinopterygii>; Population dynamics of fisheries; Population; Mathematical analysis; Ecology; Fishery; Biology","score_opus":0.020435164018929666,"score_gpt":0.2777056315786055,"score_spread":0.25727046755967586,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385671678","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":[0.7176214,0.00006681819,0.28131285,0.00011144914,0.00003854872,0.00053697283,0.000064197215,0.00004355417,0.00020420202],"genre_scores_gemma":[0.99927443,0.000019674375,0.00008849555,0.000025032185,0.000032441905,0.00017498493,0.00010007777,0.00001170386,0.0002731666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9987524,0.000116735944,0.0005402519,0.00026441435,0.00012513767,0.00020106942],"domain_scores_gemma":[0.99900484,0.00037184302,0.000114397815,0.00022116912,0.00007983406,0.00020793678],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00035107366,0.00012643571,0.0006647588,0.0000824947,0.000051167477,0.000010297645,0.00006700252,0.00018809392,0.000004559916],"category_scores_gemma":[0.0002588972,0.00009159498,0.00005205122,0.00011749993,0.0002007411,0.000050758696,0.00006464133,0.000095549294,0.0000023455998],"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":[0.0006067795,0.00030406716,0.008981778,0.0022382734,0.00027967826,0.000004404065,0.0009226511,0.005996302,0.021322653,0.95794344,0.00007220151,0.0013277435],"study_design_scores_gemma":[0.00044315186,0.0003161557,0.0023881688,0.00017361596,0.00011205993,0.0000069360913,0.00052876654,0.99160534,0.000034570814,0.004296258,0.0000026618661,0.00009230012],"about_ca_topic_score_codex":0.00012955841,"about_ca_topic_score_gemma":0.000011056908,"teacher_disagreement_score":0.98560905,"about_ca_system_score_codex":0.0000073469805,"about_ca_system_score_gemma":0.000012213407,"threshold_uncertainty_score":0.37351346},"labels":[],"label_agreement":null},{"id":"W4385884194","doi":"10.3934/dcds.2023092","title":"Large-time behavior of solutions for unipolar Euler-Poisson equations with critical over-damping","year":2023,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","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":"Champlain Regional College; McGill University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Capital Normal University","keywords":"Logarithm; Euler's formula; Integer (computer science); Mathematics; Mathematical analysis; Poisson distribution; Perturbation (astronomy); Initial value problem; Euler equations; Cauchy distribution; Convergence (economics); Backward Euler method; Applied mathematics; Physics; Computer science; Quantum mechanics","score_opus":0.04360294280099212,"score_gpt":0.33388085292433317,"score_spread":0.29027791012334103,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4385884194","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":[0.40377602,0.0002912773,0.59020466,0.00071305194,0.00030855776,0.0019222402,0.0018461936,0.00042620886,0.0005117774],"genre_scores_gemma":[0.9967387,0.00000688333,0.0012628024,0.000011522375,0.000087862994,0.00051465316,0.00025603786,0.000051908602,0.0010696459],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99786407,0.00015490018,0.00063474535,0.00034409986,0.0003722293,0.0006299661],"domain_scores_gemma":[0.9969529,0.0020372227,0.00018999376,0.00035963504,0.00029093493,0.0001693313],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075737614,0.00021559866,0.0005284714,0.00016744439,0.00046430313,0.000085410764,0.0001588694,0.00016370442,0.00002137685],"category_scores_gemma":[0.0011464749,0.00018865893,0.0001472019,0.00045603124,0.0001850514,0.00018677898,0.00009768652,0.00015693449,0.000016276224],"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":[0.000043971984,0.0002620041,0.001432367,0.00039299595,0.0001349811,0.000007471097,0.00082152744,0.00006932918,0.005467544,0.9902699,0.00079480885,0.0003030966],"study_design_scores_gemma":[0.003992912,0.0008486116,0.0047370726,0.0011429156,0.0015113746,0.00005008056,0.0054965196,0.95411,0.0000870373,0.022916833,0.0039122165,0.001194399],"about_ca_topic_score_codex":0.00009138664,"about_ca_topic_score_gemma":0.0000821937,"teacher_disagreement_score":0.96735305,"about_ca_system_score_codex":0.00006861002,"about_ca_system_score_gemma":0.000055355667,"threshold_uncertainty_score":0.7693288},"labels":[],"label_agreement":null},{"id":"W4387663835","doi":"10.3934/dcds.2023115","title":"Global and exponential stabilization of morphogenesis models with logarithmic sensitivity and linear degradation","year":2023,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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","funders":"","keywords":"Logarithm; Exponential growth; Bounded function; Sensitivity (control systems); Singularity; Logarithmic growth; Mathematical analysis; Exponential function; Mathematics; SIGNAL (programming language); Exponential decay; Dynamics (music); Linear growth; Applied mathematics; Control theory (sociology); Computer science; Physics","score_opus":0.02144389634433606,"score_gpt":0.2601731776423616,"score_spread":0.23872928129802554,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387663835","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":[0.92013747,0.00007185441,0.078989804,0.000054688237,0.000027706164,0.00041152048,0.00011194726,0.00007844567,0.00011660128],"genre_scores_gemma":[0.9985949,0.000027279259,0.0012109004,0.000004326377,0.000020217565,0.000021465046,0.000047840225,0.0000144425285,0.000058663787],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988468,0.00017313441,0.00031874335,0.0002923405,0.00017618129,0.00019276315],"domain_scores_gemma":[0.9992657,0.00028061232,0.00013951381,0.00015009374,0.00007532726,0.00008879033],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00040028815,0.00016215946,0.0004307721,0.00004459268,0.00006507049,0.000031627427,0.000037145954,0.00011264401,0.0000011789507],"category_scores_gemma":[0.00010669888,0.00011845877,0.00002637636,0.00016596178,0.00020287353,0.000096089105,0.00007951477,0.00005101079,4.921023e-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":[0.0005399613,0.0002316101,0.123303406,0.0036867594,0.00041646222,0.00011141662,0.0010566924,0.00035589325,0.01839188,0.84843516,0.00007989128,0.0033908673],"study_design_scores_gemma":[0.00094543013,0.00023114523,0.0103397295,0.00021990474,0.00016443363,0.00017022107,0.00092188775,0.9619998,0.00015404132,0.024556853,0.0000037766442,0.00029278608],"about_ca_topic_score_codex":0.00018433419,"about_ca_topic_score_gemma":0.0001411384,"teacher_disagreement_score":0.9616439,"about_ca_system_score_codex":0.00001709277,"about_ca_system_score_gemma":0.000010772269,"threshold_uncertainty_score":0.48306084},"labels":[],"label_agreement":null},{"id":"W4392250588","doi":"10.3934/dcds.2024015","title":"Non-simple blow-up for singular Liouville equations in unit ball","year":2024,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Nonlinear Partial Differential Equations","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; Ministero dell’Istruzione, dell’Università e della Ricerca","keywords":"Lambda; Unit sphere; Ball (mathematics); Integer (computer science); Combinatorics; Physics; Unit (ring theory); Simple (philosophy); Blowing up; Mathematical physics; Mathematical analysis; Mathematics; Quantum mechanics","score_opus":0.03298761531842854,"score_gpt":0.3265402078526614,"score_spread":0.2935525925342329,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392250588","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":[0.69667584,0.0004286765,0.29927862,0.0002694315,0.00064587966,0.0013038393,0.00022489575,0.00017312226,0.0009997105],"genre_scores_gemma":[0.9968482,0.0000071828304,0.00054660335,0.000014552899,0.00020737488,0.00023010428,0.0002026695,0.00004948171,0.0018937974],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99853355,0.00007267053,0.00051746366,0.00034089864,0.00019219628,0.00034321015],"domain_scores_gemma":[0.9988621,0.0006540023,0.00006276394,0.0002343481,0.00007466206,0.000112111506],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00032545617,0.00019452863,0.0003873628,0.00014023854,0.00010954463,0.00027128303,0.00012982263,0.00013837455,0.00003212484],"category_scores_gemma":[0.00027483443,0.00016867262,0.0001231949,0.00024774356,0.000055172473,0.00011185055,0.00005611355,0.00015686268,0.000015451964],"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":[0.000052518804,0.00017332853,0.0009382251,0.001145234,0.0002054556,0.000025320618,0.0015480425,0.00006391501,0.004603833,0.98434377,0.0008534274,0.006046943],"study_design_scores_gemma":[0.00075154565,0.00012557312,0.00024810407,0.00040234817,0.0001322096,0.0000065569307,0.00068021606,0.94670177,0.00005717069,0.047029532,0.0035409485,0.0003240408],"about_ca_topic_score_codex":0.00037566497,"about_ca_topic_score_gemma":0.0007682829,"teacher_disagreement_score":0.9466378,"about_ca_system_score_codex":0.000045885874,"about_ca_system_score_gemma":0.000044136017,"threshold_uncertainty_score":0.687827},"labels":[],"label_agreement":null},{"id":"W4392522942","doi":"10.3934/dcds.2024021","title":"Minimizing movement scheme for intrinsic aggregation on compact Riemannian manifolds","year":2024,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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 Toronto","funders":"","keywords":"Scheme (mathematics); Movement (music); Topology (electrical circuits); Computer science; Riemannian manifold; Mathematics; Pure mathematics; Mathematical analysis; Physics; Combinatorics; Acoustics","score_opus":0.023006218556529137,"score_gpt":0.2938908713205189,"score_spread":0.27088465276398976,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4392522942","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":[0.95907235,0.0008261971,0.02750903,0.0012848566,0.0006954045,0.002196852,0.00015264312,0.0004822833,0.0077803936],"genre_scores_gemma":[0.99691194,0.000008419869,0.0010443992,0.00009573079,0.00020589912,0.00012877892,0.00004455618,0.000046029243,0.0015142489],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99832964,0.00008708939,0.0005408485,0.00044470772,0.00022197547,0.00037573843],"domain_scores_gemma":[0.9986004,0.00083726086,0.00010836113,0.00026676973,0.000048434136,0.00013877882],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004839204,0.00027292178,0.0005276839,0.00009404904,0.000109200344,0.00021480411,0.00014323699,0.00015407354,0.0000141787195],"category_scores_gemma":[0.00021668174,0.00019984393,0.00014838197,0.00010707628,0.00008014227,0.00007730874,0.00004336179,0.00017490915,0.000019204826],"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":[0.00006444517,0.00007444938,0.00034379135,0.0015933672,0.00016716117,0.00002776775,0.00029663,0.0000012178385,0.0009482727,0.9926664,0.0017645352,0.0020519188],"study_design_scores_gemma":[0.0029822725,0.0020558839,0.0011951501,0.006409229,0.0004980561,0.0001429516,0.0024168275,0.49836388,0.0010691858,0.47356477,0.009512106,0.0017896958],"about_ca_topic_score_codex":0.000028426104,"about_ca_topic_score_gemma":0.000009620092,"teacher_disagreement_score":0.5191017,"about_ca_system_score_codex":0.00008353604,"about_ca_system_score_gemma":0.000014553084,"threshold_uncertainty_score":0.81493986},"labels":[],"label_agreement":null},{"id":"W4396901658","doi":"10.3934/dcds.2024057","title":"Collisional dynamics for strong-weak potential Hill's lunar problem","year":2024,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","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":"Dynamics (music); Physics; Astrobiology; Geology; Classical mechanics; Statistical physics; Geophysics","score_opus":0.00461853672387316,"score_gpt":0.2318317660713138,"score_spread":0.22721322934744065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396901658","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":[0.31557265,0.0020996798,0.6566911,0.00092717836,0.0026309572,0.0029243685,0.0039877496,0.00038052478,0.014785827],"genre_scores_gemma":[0.99229056,0.0000050553763,0.0001689574,0.000010414735,0.0009926182,0.00035192652,0.0009083049,0.0000726428,0.005199526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9974124,0.00011687443,0.0007246751,0.00074179354,0.00035251342,0.00065175624],"domain_scores_gemma":[0.9989883,0.00020496,0.00012943272,0.00025917563,0.00010490123,0.0003132568],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00042928246,0.00040288435,0.0006337292,0.00008780882,0.00025962535,0.00073483796,0.00023619855,0.00017353853,0.000048355458],"category_scores_gemma":[0.0000072988782,0.00031411828,0.00035455383,0.00017645965,0.00012660565,0.00021895292,0.00010739905,0.00028163244,0.000018000399],"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":[0.000068331334,0.000081239814,0.0026440634,0.00038609642,0.00030514124,0.000011126484,0.00007391549,0.00059134257,0.00036467653,0.9839571,0.0011164676,0.010400501],"study_design_scores_gemma":[0.0006820017,0.00019297241,0.00019053253,0.00033918023,0.000118662356,0.000020535363,0.0010762031,0.9794149,0.0000027990409,0.007323751,0.010154529,0.00048396143],"about_ca_topic_score_codex":0.00090162916,"about_ca_topic_score_gemma":0.000039704806,"teacher_disagreement_score":0.97882354,"about_ca_system_score_codex":0.00009437752,"about_ca_system_score_gemma":0.00006175352,"threshold_uncertainty_score":0.9999311},"labels":[],"label_agreement":null},{"id":"W4401980512","doi":"10.3934/dcds.2024107","title":"Pseudo-ordered principle for flows strongly monotone with respect to high-rank cones","year":2024,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Navier-Stokes equation solutions","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":"York University","funders":"National Natural Science Foundation of China; Canada Research Chairs; National Science Foundation","keywords":"Monotone polygon; Rank (graph theory); Mathematics; Pure mathematics; Combinatorics; Mathematical analysis; Geometry","score_opus":0.022718911916965307,"score_gpt":0.3088365475273313,"score_spread":0.286117635610366,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401980512","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":[0.6669965,0.00044609857,0.32797965,0.00072615873,0.00035960934,0.0021901848,0.00040296873,0.00031655375,0.0005822936],"genre_scores_gemma":[0.9889302,0.000007308558,0.0061072195,0.000020542937,0.00021317822,0.0007671923,0.00007157108,0.0000714245,0.0038113245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99811107,0.00009662449,0.00053152937,0.00051800994,0.00031552056,0.0004272235],"domain_scores_gemma":[0.99864924,0.0005227624,0.00009055259,0.00038637372,0.00014501573,0.00020604827],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003801622,0.00027352074,0.00055018853,0.0001198213,0.0001744471,0.00030463678,0.00016908484,0.00012512911,0.000013713496],"category_scores_gemma":[0.00015805778,0.00020689888,0.00010491707,0.00025583382,0.0000630101,0.00013884167,0.00006493983,0.00015693759,0.000021094562],"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":[0.00034443385,0.00009310027,0.0003813566,0.0008289918,0.00039591058,0.000034494402,0.0009451554,0.00041142036,0.003099012,0.99060667,0.0013966217,0.0014628475],"study_design_scores_gemma":[0.0052615646,0.0021997353,0.0011494916,0.00227632,0.000930756,0.00020022292,0.003002026,0.897763,0.0002054775,0.029541874,0.055477493,0.0019920415],"about_ca_topic_score_codex":0.00018005366,"about_ca_topic_score_gemma":0.00032493888,"teacher_disagreement_score":0.96106476,"about_ca_system_score_codex":0.00010255553,"about_ca_system_score_gemma":0.000057745776,"threshold_uncertainty_score":0.8437092},"labels":[],"label_agreement":null},{"id":"W4405205203","doi":"10.3934/dcds.2024165","title":"On a chemotaxis model with singular sensitivity: Convergence rate towards spiky steady state","year":2024,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical Biology Tumor Growth","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":"Sensitivity (control systems); Steady state (chemistry); Chemotaxis; Convergence (economics); Rate of convergence; Physics; Applied mathematics; Mathematical analysis; Mathematics; Mechanics; Computer science; Economics; Chemistry; Engineering; Channel (broadcasting); Telecommunications","score_opus":0.014494994188662335,"score_gpt":0.25954771057683473,"score_spread":0.2450527163881724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4405205203","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":[0.86810786,0.00017336551,0.12582473,0.000353981,0.00016847425,0.0006945996,0.000121698315,0.00035001212,0.004205272],"genre_scores_gemma":[0.995726,0.000011489557,0.0008677335,0.00007891521,0.000045487515,0.000056833404,0.000018192168,0.000064418986,0.003130953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99776274,0.00024856717,0.00048069237,0.00066074845,0.00033463535,0.0005126201],"domain_scores_gemma":[0.9985458,0.0006372114,0.00010951964,0.00040793055,0.00008277864,0.0002167141],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.000864591,0.00040327865,0.00076561404,0.00007828941,0.000096138334,0.00021708326,0.00012718256,0.0001486955,0.000013126555],"category_scores_gemma":[0.00023351162,0.0002646949,0.00010862412,0.00017268237,0.00024505256,0.000105987274,0.00009074177,0.0003474604,0.000030311989],"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":[0.00024438687,0.0001440697,0.00013665271,0.0021996428,0.0003712665,0.00096361985,0.0011541314,0.00015292525,0.004595857,0.9879099,0.00043987558,0.001687661],"study_design_scores_gemma":[0.00045047898,0.00037099991,0.000045996192,0.0009954561,0.00012777279,0.00021018226,0.00025225157,0.9079724,0.00027939014,0.08867324,0.00011090702,0.00051091437],"about_ca_topic_score_codex":0.0000927735,"about_ca_topic_score_gemma":0.000029915263,"teacher_disagreement_score":0.9078195,"about_ca_system_score_codex":0.00006916736,"about_ca_system_score_gemma":0.000055023247,"threshold_uncertainty_score":0.9999805},"labels":[],"label_agreement":null},{"id":"W4410169786","doi":"10.3934/dcds.2025060","title":"Bistable waves for two species competition systems in a periodic discrete habitat","year":2025,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":3,"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":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council","keywords":"Bistability; Competition (biology); Habitat; Ecology; Geography; Physics; Statistical physics; Biology; Quantum mechanics","score_opus":0.01162033820029732,"score_gpt":0.27518605461902346,"score_spread":0.2635657164187261,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410169786","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":[0.7020821,0.0038851788,0.24271742,0.005052935,0.0008383446,0.0029384955,0.0001395968,0.00014197205,0.042203948],"genre_scores_gemma":[0.9937444,0.000044899523,0.00010274561,0.00030638292,0.000084378014,0.00033409527,0.00009172388,0.000013336779,0.0052780705],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9981648,0.00018361432,0.00068124855,0.00040645694,0.00010084061,0.0004630751],"domain_scores_gemma":[0.9987643,0.0007141926,0.000090629954,0.00021471905,0.00006952102,0.00014666225],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007048909,0.00022457515,0.0010452472,0.00011419949,0.00015133047,0.00006276482,0.00008678999,0.00022401374,0.000019127705],"category_scores_gemma":[0.0003492467,0.00015699824,0.00014204146,0.00012987864,0.00044205625,0.000061098195,0.00005570769,0.00022626882,0.0000057016277],"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":[0.00036403578,0.00008342089,0.009452098,0.0011433348,0.000091356735,0.000015574622,0.000085576976,0.00006305567,0.00043788616,0.9880078,0.00015402716,0.00010184282],"study_design_scores_gemma":[0.005183141,0.00067302596,0.011160228,0.0023671472,0.00030800907,0.00009814108,0.0022191321,0.93411726,0.000019641115,0.038728323,0.0046775118,0.0004484261],"about_ca_topic_score_codex":0.00017205441,"about_ca_topic_score_gemma":0.000082335464,"teacher_disagreement_score":0.9492795,"about_ca_system_score_codex":0.000055373937,"about_ca_system_score_gemma":0.000031052223,"threshold_uncertainty_score":0.6402202},"labels":[],"label_agreement":null},{"id":"W4415022614","doi":"10.3934/dcds.2025152","title":"Shifts of finite type obtained by forbidding a single pattern","year":2025,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Cellular Automata and Applications","field":"Computer Science","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":"Representation (politics); Isomorphism (crystallography); Finite set; Sequence (biology); Type (biology); Class (philosophy); Space (punctuation); Set (abstract data type)","score_opus":0.006290616030153158,"score_gpt":0.22400127054258903,"score_spread":0.21771065451243587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415022614","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":[0.17649537,0.0007979015,0.8188243,0.0003839412,0.0001764708,0.0002471674,0.000024207871,0.000103518316,0.002947149],"genre_scores_gemma":[0.9987501,0.000008613132,0.00021146926,0.000058940816,0.000012064064,0.000021052289,0.000027887905,0.000005457605,0.00090439647],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99913794,0.00004140523,0.00026768228,0.0002624495,0.000112380694,0.00017816643],"domain_scores_gemma":[0.9993856,0.000108288485,0.00008481446,0.0003173765,0.000050602528,0.000053325257],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00010682472,0.00010424309,0.00022752478,0.000049609473,0.000069747985,0.00013304572,0.00032965431,0.00006128815,0.0000015006253],"category_scores_gemma":[0.000022708397,0.00009042375,0.000045983492,0.00027649364,0.000040506766,0.00009700455,0.00015195714,0.0000626417,0.0000028891182],"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":[0.000039671,0.0005560548,0.021610465,0.0008928298,0.00035270676,0.000026036623,0.0015357675,0.00014008966,0.2055094,0.50201637,0.0052516414,0.26206896],"study_design_scores_gemma":[0.0006203785,0.00014643386,0.001964438,0.00027217425,0.000035103316,0.0000054405914,0.00020737821,0.9819928,0.00092086324,0.0013435395,0.012182097,0.00030937046],"about_ca_topic_score_codex":0.00020472553,"about_ca_topic_score_gemma":0.000011236519,"teacher_disagreement_score":0.9818527,"about_ca_system_score_codex":0.000017963117,"about_ca_system_score_gemma":0.000015985108,"threshold_uncertainty_score":0.36873734},"labels":[],"label_agreement":null},{"id":"W4415688782","doi":"10.3934/dcds.2025173","title":"Existence and stability of sawtooth periodic solutions in a state-dependent switching system","year":2025,"lang":"","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","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":"York University","funders":"China Postdoctoral Science Foundation; National Natural Science Foundation of China","keywords":"Sawtooth wave; Stability (learning theory); Population; Scalar (mathematics); Constant (computer programming); State (computer science); Stability theory","score_opus":0.01474454543863372,"score_gpt":0.262858610434273,"score_spread":0.2481140649956393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4415688782","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":[0.9294144,0.008409738,0.053053122,0.00078752084,0.00038009303,0.0012804903,0.00007930814,0.00004168713,0.0065536727],"genre_scores_gemma":[0.99910283,0.00032869607,0.00006517068,0.000067044224,0.000028606219,0.00009794156,0.000007506512,0.000014144563,0.00028807562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9954595,0.00093694247,0.0018105317,0.00078249973,0.00020789316,0.0008026129],"domain_scores_gemma":[0.9974026,0.0014489279,0.00028761162,0.00043138443,0.00011316185,0.00031629432],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0029689763,0.0003928507,0.002051091,0.00015919491,0.00025530413,0.000049322007,0.00016647959,0.00049302727,0.00002421516],"category_scores_gemma":[0.00078168104,0.0003001508,0.00015453789,0.0002253484,0.0011727106,0.00008905804,0.00030065846,0.00067590526,0.0000031332922],"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":[0.0006080781,0.00030546033,0.062502876,0.008272534,0.00025531652,0.00005019776,0.0011775137,0.000016083723,0.0005004333,0.9246452,0.0000032861612,0.0016630306],"study_design_scores_gemma":[0.0033685607,0.00071699516,0.027008574,0.007830766,0.00059876277,0.00011730773,0.013062387,0.91716546,0.00002744446,0.029592738,0.000022118851,0.0004889126],"about_ca_topic_score_codex":0.0011951363,"about_ca_topic_score_gemma":0.00022530806,"teacher_disagreement_score":0.91714936,"about_ca_system_score_codex":0.00014439998,"about_ca_system_score_gemma":0.00012144521,"threshold_uncertainty_score":0.99994504},"labels":[],"label_agreement":null},{"id":"W4416192305","doi":"10.3934/dcds.2025181","title":"A special concavity property for positive Hessian quotient operators","year":2025,"lang":"","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Geometry and complex manifolds","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","keywords":"Hessian matrix; Quotient; Hessian equation; Property (philosophy); Tensor (intrinsic definition)","score_opus":0.012467342898751805,"score_gpt":0.2675442049688279,"score_spread":0.2550768620700761,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416192305","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":[0.7344924,0.0040250737,0.09075394,0.0044425186,0.016250992,0.018676007,0.0030721794,0.0003808955,0.12790596],"genre_scores_gemma":[0.9644067,0.000035396417,0.00021695872,0.00016833146,0.001972686,0.00037407342,0.00008444262,0.000055563254,0.03268582],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9956785,0.00046252494,0.0013397533,0.0011006602,0.00041706066,0.001001546],"domain_scores_gemma":[0.9977841,0.0004728451,0.00037011938,0.00061388593,0.00040090428,0.00035819694],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007238647,0.00074314035,0.0016355941,0.00018617579,0.0007628119,0.00086014386,0.00047252074,0.00052313175,0.00006238434],"category_scores_gemma":[0.0002674435,0.0005248602,0.00044681242,0.00046323612,0.00045280767,0.00021073963,0.00035918615,0.00043642928,0.000013408917],"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":[0.0012809661,0.0011196239,0.004865794,0.004668495,0.0016257839,0.000070162816,0.002332285,0.000025175077,0.0005157483,0.95158446,0.012837548,0.019073937],"study_design_scores_gemma":[0.02649479,0.008824312,0.016136665,0.016524153,0.006621901,0.0002896008,0.05007748,0.42622384,0.0006235991,0.04835681,0.39153972,0.008287133],"about_ca_topic_score_codex":0.0005933892,"about_ca_topic_score_gemma":0.00021033396,"teacher_disagreement_score":0.9032277,"about_ca_system_score_codex":0.00022925923,"about_ca_system_score_gemma":0.00018219027,"threshold_uncertainty_score":0.9997203},"labels":[],"label_agreement":null},{"id":"W4417451010","doi":"10.3934/dcds.2026013","title":"Spatial spreading wave in a diffusive SIR model with delayed infection force reflecting host precaution","year":2025,"lang":"","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"COVID-19 epidemiological studies","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":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada; China Scholarship Council; Science and Technology Commission of Shanghai Municipality","keywords":"Epidemic model; Traveling wave; Wave speed; Function (biology); Nonlinear system; Term (time); Wave model","score_opus":0.056612253758137616,"score_gpt":0.35180379200838924,"score_spread":0.29519153825025163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417451010","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":[0.60827714,0.00068265875,0.38638598,0.00040026582,0.00025541286,0.0018181155,0.00004305844,0.000118171556,0.0020192238],"genre_scores_gemma":[0.99706304,0.000288929,0.00035979183,0.00013207956,0.00012840879,0.00036749503,0.000027296473,0.000048580336,0.0015843634],"study_design_codex":"observational","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9950579,0.00074695464,0.0016147017,0.0012040591,0.0003813579,0.0009950575],"domain_scores_gemma":[0.9960203,0.0024089469,0.00072223425,0.00043999884,0.00022436077,0.0001841338],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012435885,0.0007357673,0.0018062359,0.00026095693,0.00055238884,0.00026325654,0.00016975016,0.0006176218,0.0000039730653],"category_scores_gemma":[0.0023017926,0.0005685346,0.00022407455,0.0006377389,0.00029066124,0.00023999748,0.0004280478,0.0008406934,0.000001947601],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.011024489,0.0025676247,0.52613664,0.017390577,0.0057041864,0.00040861132,0.021692185,0.07822222,0.020024803,0.27302584,0.00036527123,0.04343754],"study_design_scores_gemma":[0.0020514496,0.0006468429,0.010791362,0.0032354123,0.0004493136,0.000019731711,0.0011770882,0.97312003,0.000033447108,0.007770417,0.00003689208,0.0006679823],"about_ca_topic_score_codex":0.013296909,"about_ca_topic_score_gemma":0.011216967,"teacher_disagreement_score":0.8948978,"about_ca_system_score_codex":0.00088551355,"about_ca_system_score_gemma":0.000102975275,"threshold_uncertainty_score":0.9996766},"labels":[],"label_agreement":null},{"id":"W7087492547","doi":"10.3934/dcds.2025156","title":"A periodic reaction-diffusion-advection SIS epidemic model with a saturated incidence function","year":2025,"lang":"en","type":"article","venue":"Discrete and Continuous Dynamical Systems","topic":"Research Data Management Practices","field":"Computer Science","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":"Memorial University of Newfoundland","funders":"China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Epidemic model; Basic reproduction number; Monotonic function; Biological dispersal; Population; Limiting; Transmission (telecommunications); Diffusion; Advection","score_opus":0.014125002233117816,"score_gpt":0.27552893552808816,"score_spread":0.26140393329497036,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7087492547","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":[0.22853602,0.00037675994,0.7665213,0.0011707209,0.00022758302,0.0005349056,0.0000061812752,0.0002065425,0.0024199893],"genre_scores_gemma":[0.99389404,0.00030262087,0.0007837162,0.00014541819,0.00002942985,0.00013953049,0.000030046145,0.000009425729,0.004665747],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9978448,0.0002686481,0.00035968484,0.00073088077,0.00043617265,0.00035976985],"domain_scores_gemma":[0.99863034,0.00020564816,0.00019679204,0.00068656576,0.00015881775,0.00012184042],"candidate_categories":["scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.0007329856,0.00020458072,0.00030068491,0.00023448859,0.00034637228,0.0017673913,0.0006050471,0.00010288425,9.623075e-7],"category_scores_gemma":[0.0002325838,0.00015369403,0.000046284826,0.0007504477,0.00009398158,0.006843998,0.00038975294,0.0003080917,0.0000050875456],"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":[0.0013233459,0.00034563043,0.030522535,0.0011062133,0.0007975988,0.0001283443,0.0007133969,0.006289932,0.046829537,0.85219324,0.0020690865,0.057681125],"study_design_scores_gemma":[0.00045247714,0.00016082531,0.008589817,0.000245088,0.00004920917,0.000024952471,0.00037816164,0.987346,0.0000071107474,0.00055550755,0.001983025,0.00020784479],"about_ca_topic_score_codex":0.0015893069,"about_ca_topic_score_gemma":0.00022166331,"teacher_disagreement_score":0.98105603,"about_ca_system_score_codex":0.00011755448,"about_ca_system_score_gemma":0.00008129004,"threshold_uncertainty_score":0.9992689},"labels":[],"label_agreement":null}]}