{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":38,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":38,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"query_hash":"b4f32c07826b","filters":{"venue":"Communications on Pure &amp Applied Analysis"}},"results":[{"id":"W2079066676","doi":"10.3934/cpaa.2009.8.95","title":"Reduced symmetry elements in linear elasticity","year":2008,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":142,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Discretization; Symmetry (geometry); Mathematics; Simple (philosophy); Angular momentum; Interpolation (computer graphics); Elasticity (physics); Element (criminal law); Mathematical analysis; Theoretical physics; Classical mechanics; Physics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.06036331625598389,"gpt":0.3394720226710315,"spread":0.2791087064150476,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002368865,0.0001832638,0.0003850493,0.000535268,0.0001645689,0.0000103351,0.0007688965,0.00008194645,0.00004074558],"category_scores_gemma":[0.0002192226,0.0001952526,0.0001217402,0.002732053,0.00010458,0.00004413394,0.0001424569,0.0004201568,0.0001137153],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001531194,"about_ca_system_score_gemma":0.00001426882,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002175856,"about_ca_topic_score_gemma":0.00001341129,"domain_scores_codex":[0.9987133,0.00008064783,0.0005450849,0.0002034591,0.0002492825,0.0002082085],"domain_scores_gemma":[0.9972537,0.0009703721,0.0000960342,0.001545249,0.00005842446,0.00007624405],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001295555,0.0004815599,0.001530632,0.00003705312,0.0008201662,0.000001642244,0.0005090749,0.9581484,0.001493766,0.0245489,0.0002700524,0.01214576],"study_design_scores_gemma":[0.0006078696,0.00002354097,0.008441664,0.00003910228,0.0004836084,0.000003965664,0.000152672,0.9373948,0.0008726196,0.04542901,0.005831716,0.0007194319],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08066635,0.0001773141,0.9066094,0.0001569184,0.00005361772,0.0002326816,0.00001963423,0.0003061348,0.01177791],"genre_scores_gemma":[0.5716618,0.000155017,0.427935,0.00004924621,0.00001411855,0.00006949402,0.00006338159,0.00002002723,0.00003188252],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4909955,"threshold_uncertainty_score":0.7962169,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2328648075","doi":"10.3934/cpaa.2012.11.365","title":"On the solvability conditions for the diffusion equation with convection terms","year":2011,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Work (physics); Operator (biology); Convection–diffusion equation; Convection; Heat equation; Mathematical analysis; Elliptic curve; Fredholm theory; Elliptic operator; Fredholm integral equation; Diffusion equation; Diffusion; Order (exchange); Physics; Integral equation; Thermodynamics","retraction":null,"screen_n_in":null,"score":{"opus":0.1766759869569123,"gpt":0.3455824688650476,"spread":0.1689064819081353,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001019085,0.0002194509,0.0003107834,0.0001260662,0.001214939,0.00006462426,0.001174758,0.00008411908,0.0003563662],"category_scores_gemma":[0.0005210998,0.0001142938,0.0002764287,0.0009756986,0.0005057156,0.00005310379,0.0001111649,0.0003603786,0.00008456424],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009978953,"about_ca_system_score_gemma":0.00002222331,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001361035,"about_ca_topic_score_gemma":0.000197061,"domain_scores_codex":[0.9986111,0.0002145649,0.0003960287,0.0002722749,0.0003048095,0.0002012275],"domain_scores_gemma":[0.9866044,0.00876692,0.0003249275,0.004107085,0.0001482599,0.00004840416],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006648077,0.000694653,0.00004207882,0.00001260291,0.0006223392,2.071791e-8,0.00128008,0.0001261248,0.0002765617,0.9961829,0.0003720295,0.0003241302],"study_design_scores_gemma":[0.0002263577,0.00006839875,0.0006171681,0.00001751797,0.001601867,3.7042e-7,0.0006279474,0.009363625,0.000548611,0.9865547,0.0002135596,0.000159837],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1360421,0.0000177761,0.7937085,0.004812698,0.00004932576,0.003437888,0.0001055332,0.0003362055,0.06148994],"genre_scores_gemma":[0.9885377,0.0000149173,0.009327115,0.0003225627,0.0000273136,0.001472146,0.0001077382,0.0000303462,0.0001601355],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8524956,"threshold_uncertainty_score":0.934445,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4229998024","doi":"10.3934/cpaa.2009.8.509","title":"Existence and longtime behavior of a biofilm model","year":2008,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":44,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Degeneracy (biology); Lipschitz continuity; Degenerate energy levels; Semigroup; Attractor; Dissipative system; Diffusion; Limit (mathematics); Reaction–diffusion system; Mathematics; Mathematical analysis; Nonlinear system; Boundary (topology); Physics; Thermodynamics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.06053930493533422,"gpt":0.2926236491837476,"spread":0.2320843442484133,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001387643,0.0001323333,0.0003007022,0.0002941033,0.0001791253,0.00002001134,0.001585341,0.00005688849,0.000002771774],"category_scores_gemma":[0.00003880845,0.0001283172,0.00009937905,0.001138501,0.0001831709,0.0001067457,0.0005181406,0.0001732563,0.00001075374],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002586345,"about_ca_system_score_gemma":0.00002171546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002962214,"about_ca_topic_score_gemma":0.000004939156,"domain_scores_codex":[0.9990433,0.0000179713,0.0003203488,0.000264904,0.0002050638,0.0001483999],"domain_scores_gemma":[0.9964511,0.000184542,0.0001182783,0.003084581,0.00008343054,0.00007807882],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00000284065,0.0003742111,0.0001465894,0.00001978112,0.0001873222,8.120938e-7,0.001144205,0.2404427,0.002890429,0.7492107,0.00001467138,0.005565715],"study_design_scores_gemma":[0.000085171,0.000008040368,0.0001912215,0.000008879268,0.0001583984,0.000003557087,0.00001275419,0.9862878,0.0003040096,0.0127587,0.00003648254,0.0001449446],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02870295,0.0001741786,0.9685764,0.0001548759,0.000004464571,0.0001211298,0.000005209166,0.0001201903,0.002140584],"genre_scores_gemma":[0.5275939,0.00009885514,0.472169,0.00002366417,0.00000152934,0.00005606761,0.000005675143,0.000005436993,0.00004593472],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7458451,"threshold_uncertainty_score":0.5232623,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2888492533","doi":"10.3934/cpaa.2019019","title":"Spreading speeds and traveling waves for space-time periodic nonlocal dispersal cooperative systems","year":2018,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":34,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Traveling wave; Uniqueness; Space (punctuation); Wave speed; Physics; Mathematical analysis; Interval (graph theory); Mathematics; Mathematical physics; Combinatorics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.04090749410221471,"gpt":0.3247574071070298,"spread":0.2838499130048151,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008023424,0.0001874879,0.0007712983,0.0001649761,0.0006097235,0.00003320794,0.0002477458,0.0002149822,0.000236916],"category_scores_gemma":[0.0003803884,0.0001387571,0.0001765507,0.0004050693,0.001221975,0.00002690406,0.0001092495,0.0002699961,0.0001353324],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003476248,"about_ca_system_score_gemma":0.00003017444,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001030177,"about_ca_topic_score_gemma":0.00002955881,"domain_scores_codex":[0.9987952,0.0001256155,0.0004051106,0.0003169005,0.0000900536,0.0002671175],"domain_scores_gemma":[0.9972214,0.001377219,0.00009746638,0.0009829643,0.0001415132,0.0001794714],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001939708,0.0002467087,0.0002984216,0.00005346318,0.001477341,3.634435e-7,0.0009629428,0.0001803585,0.0009288209,0.9946854,0.0002101966,0.000761989],"study_design_scores_gemma":[0.0007350488,0.0002569461,0.0002632544,0.00007099046,0.002975035,0.00001043607,0.0007046059,0.9857118,0.000148274,0.006554494,0.002331129,0.0002379794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1227801,0.0005062313,0.8252345,0.008138502,0.00004268901,0.001039988,0.00005784419,0.0001148703,0.04208532],"genre_scores_gemma":[0.9904203,0.00009146772,0.007620422,0.0004320593,0.00009677707,0.0001397958,0.0001755207,0.00001524566,0.001008447],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9881309,"threshold_uncertainty_score":0.5658351,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2886036473","doi":"10.3934/cpaa.2019117","title":"Local well-posedness of the fifth-order KdV-type equations on the half-line","year":2019,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Type (biology); Korteweg–de Vries equation; Mathematics; Order (exchange); Line (geometry); Mathematical analysis; Applied mathematics; Physics; Geology; Geometry; Nonlinear system; Economics","retraction":null,"screen_n_in":null,"score":{"opus":0.07228471289850953,"gpt":0.3355636559717272,"spread":0.2632789430732176,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006100011,0.000262503,0.0005353788,0.0001646054,0.0004236829,0.00003770944,0.002390762,0.0001169713,0.0004965415],"category_scores_gemma":[0.0004899413,0.0001579567,0.0003320754,0.002961061,0.0004115935,0.00005129707,0.0005477169,0.0006072932,0.0006829096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008769054,"about_ca_system_score_gemma":0.00006832836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001196426,"about_ca_topic_score_gemma":0.0001161213,"domain_scores_codex":[0.9980583,0.0002159862,0.0006510262,0.0003032928,0.0005289512,0.0002424287],"domain_scores_gemma":[0.9875206,0.004576582,0.0005045099,0.007009152,0.0003321524,0.00005700302],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001441519,0.000656623,0.00001384199,0.00003458764,0.000537155,2.145779e-8,0.0005867133,0.01758081,0.0006906738,0.9789233,0.000361238,0.0006006139],"study_design_scores_gemma":[0.0003380472,0.00004171387,0.00003358932,0.00007150538,0.001252317,2.487529e-7,0.0007113498,0.03606832,0.001194394,0.9531993,0.006795385,0.0002937824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02895324,0.0001368697,0.8435463,0.01705262,0.0001051057,0.002437891,0.00005636774,0.0002050354,0.1075066],"genre_scores_gemma":[0.984145,0.00002941238,0.01357643,0.000450876,0.00001479819,0.0001441228,0.00007534587,0.00004405065,0.001519915],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9551918,"threshold_uncertainty_score":0.8777648,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2041479713","doi":"10.3934/cpaa.2006.5.261","title":"The numerical solution of weakly singular Volterra functional integro-differential equations with variable delays","year":2006,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Collocation (remote sensing); Variable (mathematics); Nonlinear system; Collocation method; Convergence (economics); Differential equation; Sequence (biology); Applied mathematics; Mathematical analysis; Volterra integral equation; Singular solution; Initial value problem; Order (exchange); Ordinary differential equation; Integral equation; Computer science; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.05754463687462005,"gpt":0.3132387575753693,"spread":0.2556941207007493,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005848241,0.0002526948,0.0004882936,0.0003325539,0.001029941,0.0001142507,0.0007727376,0.0001273454,0.0002862385],"category_scores_gemma":[0.0002850272,0.0001740333,0.0002902687,0.002295912,0.000353706,0.00006836872,0.000194691,0.0003930564,0.00002433818],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001077951,"about_ca_system_score_gemma":0.0000805205,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002131808,"about_ca_topic_score_gemma":0.0003445992,"domain_scores_codex":[0.9977586,0.0003516399,0.0007543559,0.0003143555,0.0005349993,0.0002860027],"domain_scores_gemma":[0.9943174,0.002428794,0.0004983196,0.002329441,0.0003522092,0.00007385487],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009223785,0.001006132,0.00009156994,0.000009877892,0.0009947411,6.288064e-8,0.0000888303,0.002847378,0.003097458,0.9857572,0.0008588009,0.005155721],"study_design_scores_gemma":[0.001426397,0.0002408668,0.004359024,0.00006718342,0.009121527,0.000003512802,0.0004926182,0.3872044,0.00100989,0.5721632,0.0228936,0.001017803],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003707979,0.00009666265,0.9868931,0.0007186312,0.00004113046,0.0002837922,0.00003081559,0.00008969063,0.008138181],"genre_scores_gemma":[0.8369952,0.00001628338,0.1614678,0.00002591986,0.00005508299,0.0002024648,0.0005411008,0.00002722862,0.0006689708],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8332872,"threshold_uncertainty_score":0.7921575,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2333471706","doi":"10.3934/cpaa.2012.11.1839","title":"Collocation methods for differential equations with piecewise linear delays","year":2012,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Superconvergence; Piecewise; Collocation (remote sensing); Orthogonal collocation; Collocation method; Constant (computer programming); Piecewise linear function; Mathematics; Applied mathematics; Numerical analysis; Mathematical analysis; Differential equation; Computer science; Ordinary differential equation; Finite element method; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.1714136393323773,"gpt":0.4632242626493422,"spread":0.2918106233169649,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001199412,0.000353449,0.0007082472,0.0006686961,0.0008754616,0.00008078275,0.001070741,0.0001881804,0.0001976721],"category_scores_gemma":[0.001233459,0.0003007801,0.0004219005,0.002670041,0.0002151261,0.0001494951,0.0002100947,0.0003673132,0.00006056816],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001710093,"about_ca_system_score_gemma":0.00006378711,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001751662,"about_ca_topic_score_gemma":0.0001564354,"domain_scores_codex":[0.9974312,0.0006221231,0.0007371858,0.0003814675,0.0003415248,0.0004865371],"domain_scores_gemma":[0.9893571,0.00602155,0.000516749,0.003467585,0.0003752036,0.000261857],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001297291,0.002696656,0.0003296827,0.00005492071,0.003633376,2.193627e-8,0.001667208,0.0006669481,0.004491251,0.9092465,0.0002480175,0.07683566],"study_design_scores_gemma":[0.004433996,0.0004042027,0.002738443,0.0001012728,0.04515807,0.000003619454,0.002021789,0.1870052,0.006158368,0.695214,0.05375718,0.003003857],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002539868,0.0001304171,0.9934081,0.0007987247,0.00006671206,0.001163056,0.00008884726,0.0002239228,0.001580346],"genre_scores_gemma":[0.4057525,0.00002132355,0.5916911,0.00006533217,0.00007248036,0.001355199,0.0006854155,0.00004777098,0.0003089575],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4032126,"threshold_uncertainty_score":0.9999444,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962829522","doi":"10.3934/cpaa.2015.14.373","title":"Trace Hardy--Sobolev--Maz'ya inequalities for the half fractional Laplacian","year":2015,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; TRACE (psycholinguistics); Sobolev space; Laplace operator; Pure mathematics; Inequality; Regular polygon; Type (biology); Sobolev inequality; Pseudodifferential operators; Mathematical analysis; Geology; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.2573193441090161,"gpt":0.4073743113070688,"spread":0.1500549671980527,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001021394,0.0002481975,0.0004536738,0.0003328278,0.0007912315,0.00017241,0.001366802,0.000143075,0.0001691734],"category_scores_gemma":[0.0009086626,0.0001972647,0.0004051331,0.001145276,0.000219918,0.00009598822,0.0002106834,0.0003928053,0.0002136024],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000128584,"about_ca_system_score_gemma":0.0001376779,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009514422,"about_ca_topic_score_gemma":0.003851712,"domain_scores_codex":[0.9980865,0.0002252039,0.0006145491,0.0002959443,0.0004985176,0.000279258],"domain_scores_gemma":[0.9926182,0.003293559,0.0003457783,0.003188921,0.0004023573,0.0001511998],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00006850133,0.0006814094,0.0001121384,0.00001746069,0.001876841,8.299396e-8,0.001983036,0.002783338,0.0001406507,0.9799521,0.009574,0.002810445],"study_design_scores_gemma":[0.001590159,0.00007330418,0.0006524908,0.00002875379,0.006740742,0.000001910428,0.005376542,0.05651394,0.0003764357,0.3987091,0.5291193,0.0008173625],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.005918353,0.0005578379,0.9494587,0.02114873,0.0001670642,0.00141375,0.0005517427,0.0003505587,0.02043324],"genre_scores_gemma":[0.9504926,0.0000595917,0.04409663,0.0003118912,0.000208048,0.001010278,0.0009658747,0.000049869,0.00280518],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9445743,"threshold_uncertainty_score":0.8044221,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3033347958","doi":"10.3934/cpaa.2020187","title":"A numerical method to compute Fisher information for a special case of heterogeneous negative binomial regression","year":2020,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Negative binomial distribution; Fisher information; Statistics; Regression; Regression analysis; Binomial (polynomial); Mathematics; Applied mathematics; Computer science; Binomial distribution; Count data; Econometrics; Poisson distribution","retraction":null,"screen_n_in":null,"score":{"opus":0.04704634275284272,"gpt":0.3396053736909281,"spread":0.2925590309380854,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004731608,0.0002011944,0.0005275954,0.0003559646,0.0002793085,0.0001235242,0.001614611,0.0001089912,0.00001638417],"category_scores_gemma":[0.0001099728,0.0001762412,0.000326911,0.002249995,0.00004644589,0.0001940689,0.0005149483,0.0002123484,0.00002141662],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005053751,"about_ca_system_score_gemma":0.00005616078,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003046402,"about_ca_topic_score_gemma":0.00003239704,"domain_scores_codex":[0.9983999,0.0003032427,0.0005575918,0.0003412629,0.0001996376,0.0001984379],"domain_scores_gemma":[0.9968123,0.0005860825,0.000335454,0.001828447,0.0002188096,0.000218951],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002265965,0.000248493,0.00001233301,0.00003942153,0.0008866182,0.000005061343,0.01296371,0.02455633,0.0005052119,0.1668396,0.005754924,0.7879617],"study_design_scores_gemma":[0.000916012,0.0002226863,0.00003416397,0.00001909576,0.0005625137,0.00002630889,0.0001094419,0.9382549,0.002683635,0.01306474,0.04363037,0.0004761362],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0003354433,0.00001882844,0.9914494,0.005662565,0.00003500474,0.0005560474,0.00004996894,0.00007026729,0.001822543],"genre_scores_gemma":[0.2292542,0.000005570908,0.7688203,0.001635686,0.00009387387,0.0001193334,0.00005450835,0.000007748494,0.000008838847],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9136986,"threshold_uncertainty_score":0.7186908,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1996721129","doi":"10.3934/cpaa.2010.9.23","title":"Time transformations for state-dependent delay differential equations","year":2010,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Delay differential equation; State dependent; Differential equation; Variable (mathematics); State (computer science); Mathematics; State variable; Differential (mechanical device); Applied mathematics; Mathematical analysis; Control theory (sociology); Computer science; Physics; Control (management); Algorithm","retraction":null,"screen_n_in":null,"score":{"opus":0.06276637081194085,"gpt":0.3632797135013758,"spread":0.3005133426894349,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006629063,0.0003472239,0.000648098,0.0007772954,0.001078254,0.0001648537,0.001564694,0.0002039982,0.0009834307],"category_scores_gemma":[0.0007685995,0.0003277519,0.0006483598,0.001602802,0.0002740678,0.0001343989,0.0001688376,0.0007077635,0.0003256503],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008300552,"about_ca_system_score_gemma":0.00007641409,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001700493,"about_ca_topic_score_gemma":0.001290838,"domain_scores_codex":[0.9975263,0.000214264,0.0009518772,0.0004183389,0.0004740724,0.0004151081],"domain_scores_gemma":[0.9917031,0.003783856,0.0003917906,0.003574524,0.0003232943,0.0002234645],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000866516,0.002870951,0.0000321708,0.00005167829,0.003818958,1.469738e-7,0.002506357,0.001309186,0.03926157,0.9034224,0.00089553,0.04574446],"study_design_scores_gemma":[0.001536328,0.00007825939,0.0002307588,0.0000151334,0.00728671,0.000001560261,0.0002281428,0.07448323,0.001858325,0.8987773,0.01450682,0.0009974325],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01855756,0.00001415543,0.9743387,0.001415485,0.00009343212,0.001187776,0.0006249375,0.0003205982,0.00344742],"genre_scores_gemma":[0.700413,0.00002040428,0.295185,0.00007782763,0.0000512469,0.001358628,0.001497543,0.00006002532,0.001336309],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6818554,"threshold_uncertainty_score":0.9999298,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3196953764","doi":"10.3934/cpaa.2022114","title":"Well-posedness of an interaction model on Riemannian manifolds","year":2022,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Mathematical Biology Tumor Growth","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Lipschitz continuity; Sectional curvature; Mathematics; Curvature of Riemannian manifolds; Mathematical proof; Ricci curvature; Bounded function; Curvature; Pure mathematics; Riemannian manifold; Measure (data warehouse); Core (optical fiber); Mathematical analysis; Scalar curvature; Physics; Geometry; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.08340669638761158,"gpt":0.3576136979107254,"spread":0.2742070015231138,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008484054,0.0002365462,0.0005917967,0.000650613,0.0005389531,0.00002597232,0.001840475,0.00009203179,0.0007059335],"category_scores_gemma":[0.0001060268,0.0002264992,0.0002887733,0.001344815,0.0001516677,0.00005490821,0.0005657071,0.000602713,0.00007466021],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000158415,"about_ca_system_score_gemma":0.00003398797,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001225319,"about_ca_topic_score_gemma":0.0001289301,"domain_scores_codex":[0.9979588,0.0003632084,0.0006724066,0.0003769654,0.0004113154,0.0002172538],"domain_scores_gemma":[0.9940671,0.0008116403,0.0004860759,0.004448545,0.00008949207,0.00009715095],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001260998,0.003107599,0.00006205199,0.00005316098,0.0009275551,8.449682e-7,0.001618907,0.01550112,0.0009735363,0.9755625,0.0009625066,0.001104136],"study_design_scores_gemma":[0.0007714903,0.0002860977,0.0001542035,0.00002900441,0.00268189,0.000007657042,0.003359219,0.2676741,0.001534675,0.7188779,0.003939875,0.0006839074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.813026,0.00003497021,0.02513205,0.002125988,0.00005627547,0.0009082026,0.0002120533,0.0003379219,0.1581666],"genre_scores_gemma":[0.976576,0.00001097017,0.02163508,0.0002544556,0.00001206045,0.0003758098,0.0004348544,0.00003556177,0.0006651974],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2566847,"threshold_uncertainty_score":0.9236369,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4386772835","doi":"10.3934/cpaa.2023104","title":"Mixed local and nonlocal supercritical Dirichlet problems","year":2023,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dirichlet boundary condition; Bounded function; Omega; Combinatorics; Physics; Supercritical fluid; Domain (mathematical analysis); Hamiltonian (control theory); Scalar (mathematics); Mathematics; Mathematical physics; Mathematical analysis; Boundary (topology); Quantum mechanics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.1534536005368624,"gpt":0.3631090901325342,"spread":0.2096554895956718,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005461571,0.0002341432,0.0004842347,0.0005894919,0.0004823466,0.000105999,0.0007796785,0.0001607328,0.0001313498],"category_scores_gemma":[0.0003163993,0.0002221644,0.0002102998,0.002770094,0.0004559456,0.00005487941,0.0005107847,0.000401429,0.0005741295],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005784525,"about_ca_system_score_gemma":0.00003811179,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003024556,"about_ca_topic_score_gemma":0.001695461,"domain_scores_codex":[0.9981489,0.0002150071,0.0005256478,0.0003831908,0.0003780535,0.0003492103],"domain_scores_gemma":[0.9957781,0.001391766,0.00004829432,0.002466894,0.00012632,0.0001886568],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001872555,0.0008541438,0.0003424336,0.00006410119,0.001256648,0.000001240089,0.0007684795,0.0007205906,0.002053578,0.9807843,0.003131736,0.010004],"study_design_scores_gemma":[0.001844198,0.0001333409,0.006357061,0.0001009199,0.007853877,0.000006674109,0.00257231,0.5765666,0.0009400531,0.3636007,0.03833382,0.001690483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1480084,0.0001396672,0.8282367,0.009714518,0.00006708709,0.0009415911,0.0002420333,0.001038088,0.01161187],"genre_scores_gemma":[0.9803516,0.0001240985,0.01788989,0.0001168764,0.0000374731,0.0002789473,0.0008317404,0.00004177907,0.0003275745],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8323432,"threshold_uncertainty_score":0.90596,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2323833545","doi":"10.3934/cpaa.2013.12.1501","title":"Geometric singular perturbation approach to the existence and instability of stationary waves for viscous traffic flow models","year":2012,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Traffic control and management","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Inviscid flow; Perturbation (astronomy); Instability; Eigenvalues and eigenvectors; Physics; Transonic; Mathematical analysis; Classical mechanics; Mechanics; Mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.0353944193567147,"gpt":0.2449532249687061,"spread":0.2095588056119914,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004588817,0.0001231174,0.0002255681,0.0003901527,0.0001984059,0.00002878096,0.0004234766,0.00004186847,0.000002711531],"category_scores_gemma":[0.00003624558,0.00009892936,0.0001011037,0.00131989,0.00005691418,0.00008600926,0.00008028222,0.00009245246,0.000001954352],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005464265,"about_ca_system_score_gemma":0.000007441266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004110187,"about_ca_topic_score_gemma":0.00003476942,"domain_scores_codex":[0.9992216,0.00003745976,0.0002714371,0.0001489897,0.0001585255,0.0001619474],"domain_scores_gemma":[0.9982994,0.0002821081,0.0000550184,0.001233929,0.00006857814,0.00006098164],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000009046085,0.0001745394,0.00000952473,0.00003689382,0.0003077919,2.339163e-9,0.001651621,0.8950899,0.00002036646,0.01909119,0.00007264113,0.08353645],"study_design_scores_gemma":[0.0001643735,0.00001042394,0.001656853,0.000003121579,0.0005115188,1.265534e-7,0.0006332326,0.9909815,0.000004874575,0.0006099063,0.005303567,0.0001204694],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05272755,0.002481719,0.9367288,0.0004957099,0.0000250457,0.0009437516,0.00006939797,0.0001234086,0.006404567],"genre_scores_gemma":[0.946807,0.0001792928,0.05225797,0.00004493464,0.00001591671,0.0004148762,0.0002316013,0.00001265249,0.00003579494],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8940794,"threshold_uncertainty_score":0.4034222,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4388578335","doi":"10.3934/cpaa.2023120","title":"Gradient estimates for the non-stationary Stokes system with the Navier boundary condition","year":2023,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Division of Mathematical Sciences; China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Slip (aerodynamics); Boundary value problem; No-slip condition; Boundary (topology); Mathematical analysis; Mathematics; Navier–Stokes equations; Geometry; Mixed boundary condition; Physics; Mechanics; Compressibility","retraction":null,"screen_n_in":null,"score":{"opus":0.07427752456356776,"gpt":0.3590129512088622,"spread":0.2847354266452944,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001196108,0.0002465945,0.000367909,0.0004110347,0.003134793,0.0001823078,0.001342666,0.00008358749,0.00003382877],"category_scores_gemma":[0.0001407504,0.0001492664,0.0002815235,0.00314002,0.000489441,0.00009485493,0.0001843766,0.000316227,0.0002196483],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002044514,"about_ca_system_score_gemma":0.00009715799,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001848643,"about_ca_topic_score_gemma":0.0004690876,"domain_scores_codex":[0.998274,0.0001528174,0.0004940123,0.000304391,0.0004783709,0.0002964445],"domain_scores_gemma":[0.9900434,0.005789886,0.0004207153,0.003336272,0.0003441402,0.00006559414],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005845063,0.0002973827,0.0002166519,0.0001230355,0.003898218,5.706262e-7,0.004325532,0.03000196,0.0001690211,0.917977,0.04016961,0.002762529],"study_design_scores_gemma":[0.002713088,0.0001836515,0.01245019,0.0002889766,0.02257836,0.00001984358,0.0422206,0.568827,0.000196088,0.105822,0.2431176,0.00158264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01424864,0.0008070007,0.9472162,0.0244411,0.0001081994,0.00386248,0.0008983496,0.0008722596,0.007545807],"genre_scores_gemma":[0.9753341,0.00008917235,0.01663611,0.000209053,0.00004584024,0.004386098,0.002373067,0.00004998414,0.0008765458],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9610855,"threshold_uncertainty_score":0.998163,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2959654790","doi":"10.3934/cpaa.2020024","title":"The weak maximum principle for second-order elliptic and parabolic conormal derivative problems","year":2019,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Order (exchange); Boundary (topology); Combinatorics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.05730608079580238,"gpt":0.3409358701157422,"spread":0.2836297893199399,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005953055,0.0002177651,0.0004084479,0.000182271,0.000721043,0.0001586261,0.0008543985,0.0001042598,0.0001173526],"category_scores_gemma":[0.0002412852,0.0001681789,0.0001759608,0.0008685542,0.000206385,0.00006531979,0.0002890533,0.0002731982,0.0001385505],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004660113,"about_ca_system_score_gemma":0.00006046428,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007842955,"about_ca_topic_score_gemma":0.001441171,"domain_scores_codex":[0.9984909,0.0001356735,0.0005746114,0.0003137692,0.0001918213,0.000293202],"domain_scores_gemma":[0.9945498,0.002121674,0.000353528,0.002668054,0.0002217067,0.00008530472],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00005850626,0.0003586488,0.0004233549,0.00005548922,0.001720208,1.758574e-8,0.001012684,0.0008810047,0.001283374,0.9920214,0.0003153401,0.001870002],"study_design_scores_gemma":[0.002994171,0.0001660574,0.003342583,0.00005071967,0.003681511,0.000001852562,0.001444639,0.09229424,0.0009113826,0.4307716,0.4632615,0.001079741],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5455767,0.0009973588,0.3762433,0.008965597,0.0001661535,0.008495163,0.0007776733,0.0004668889,0.05831117],"genre_scores_gemma":[0.9693728,0.0001317371,0.02582824,0.0001010136,0.00003474503,0.0008751827,0.0004339004,0.00003975369,0.003182632],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5612498,"threshold_uncertainty_score":0.6858135,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3027275906","doi":"10.3934/cpaa.2020180","title":"Quantitative convergence analysis of kernel based large-margin unified machines","year":2020,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Machine Learning and ELM","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Reproducing kernel Hilbert space; Support vector machine; Hilbert space; Margin (machine learning); Computer science; Binary classification; Kernel method; Convergence (economics); Dimension (graph theory); Kernel (algebra); A priori and a posteriori; Binary number; Classifier (UML); Artificial intelligence; Pattern recognition (psychology); Margin classifier; Projection (relational algebra); Algorithm; Machine learning; Mathematics; Discrete mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.04423434255244192,"gpt":0.3163046946359783,"spread":0.2720703520835364,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006625854,0.0002575784,0.0007866521,0.001092296,0.000367873,0.00009926332,0.003768303,0.00009370745,0.000207341],"category_scores_gemma":[0.0002249379,0.0002422113,0.0005856811,0.01314076,0.0001410712,0.0001034547,0.0005885907,0.000349963,0.0001050298],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003160851,"about_ca_system_score_gemma":0.00007295572,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001594001,"about_ca_topic_score_gemma":0.0005302798,"domain_scores_codex":[0.9976814,0.0004114544,0.0005966286,0.0005870159,0.0004486399,0.0002748646],"domain_scores_gemma":[0.994557,0.0007770634,0.0004758656,0.003774259,0.0002299606,0.0001858568],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008437847,0.0008052574,0.02104608,0.00003924788,0.01036676,0.000001369373,0.004440468,0.3228465,0.001060313,0.6327156,0.000826097,0.005767915],"study_design_scores_gemma":[0.0002899038,0.00004232126,0.01013585,0.000005101924,0.00265787,5.129839e-8,0.0001405322,0.9802024,0.0000904889,0.0004055512,0.005778539,0.0002513721],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01622016,0.0002620771,0.9666309,0.01035315,0.00001999745,0.0001636235,0.00008830183,0.0002387003,0.006023037],"genre_scores_gemma":[0.9227839,0.00006460028,0.07524031,0.001247128,0.000007722791,0.00003985503,0.0004983215,0.00001231156,0.0001058936],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9065637,"threshold_uncertainty_score":0.9877092,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2527321035","doi":"10.3934/cpaa.2016.15.965","title":"Infinitely many solutions for nonlinear Schrödinger system with non-symmetric potentials","year":2016,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Physics; Nonlinear system; Infinity; Mathematical physics; Work (physics); BETA (programming language); Combinatorics; Mathematical analysis; Quantum mechanics; Mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.08001567004857404,"gpt":0.3278765638011273,"spread":0.2478608937525532,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008026537,0.000346832,0.0008048463,0.000817982,0.0007512157,0.00007925596,0.001356431,0.0001472572,0.00003146065],"category_scores_gemma":[0.0003606695,0.0002336003,0.0003940234,0.002872557,0.0002459838,0.0001386208,0.0003934804,0.0002374523,0.0002333257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002155257,"about_ca_system_score_gemma":0.00005900837,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004847464,"about_ca_topic_score_gemma":0.00005349554,"domain_scores_codex":[0.9977297,0.0000774994,0.0007752108,0.00047148,0.0004160488,0.0005300171],"domain_scores_gemma":[0.9915991,0.002963967,0.0005713048,0.004241544,0.0004644777,0.0001595482],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003091939,0.0005129264,0.00001152204,0.0001339372,0.001368333,1.859845e-7,0.00009762565,0.0003284205,0.00165534,0.9924204,0.0005083582,0.002932018],"study_design_scores_gemma":[0.003896808,0.0002247289,0.00009105224,0.000729232,0.01081873,0.000007286855,0.0009272242,0.02983813,0.001784641,0.9361724,0.01366683,0.001842934],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001553801,0.00006497954,0.9825246,0.001290665,0.00001757606,0.001078392,0.0001982351,0.0003017353,0.01296997],"genre_scores_gemma":[0.6773083,0.00003872832,0.3210427,0.00005347556,0.00004172679,0.0009091708,0.00009731748,0.00006588016,0.0004427895],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6757544,"threshold_uncertainty_score":0.9525944,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2334639434","doi":"10.3934/cpaa.2012.11.1809","title":"On the Lagrangian averaged Euler equations: local well-posednessand blow-up criterion","year":2012,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Euler equations; Mathematics; Lagrangian; Mathematical analysis; Lebesgue integration; Type (biology); Function (biology); Lagrangian and Eulerian specification of the flow field; Semi-implicit Euler method; Backward Euler method; Applied mathematics; Geology","retraction":null,"screen_n_in":null,"score":{"opus":0.1031882724239614,"gpt":0.3487402308718446,"spread":0.2455519584478831,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.002184074,0.0003559589,0.0004926151,0.0006652594,0.001585844,0.0001520447,0.00155735,0.000213172,0.002134881],"category_scores_gemma":[0.001083496,0.0002819099,0.0004498677,0.002803891,0.0003798837,0.0001765501,0.0002846349,0.0007399645,0.001949875],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003203312,"about_ca_system_score_gemma":0.00006465249,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002623054,"about_ca_topic_score_gemma":0.0003507798,"domain_scores_codex":[0.9968988,0.0006917514,0.0007650434,0.0003476513,0.0008155274,0.0004811797],"domain_scores_gemma":[0.9882118,0.00559714,0.0004118202,0.005250615,0.0003325606,0.0001960659],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002926645,0.0009674089,0.00009319618,0.0000142622,0.0009644551,1.161826e-7,0.002857927,0.0006126898,0.0003189797,0.9791976,0.0118595,0.003084648],"study_design_scores_gemma":[0.004985869,0.0001774786,0.003520122,0.0003273442,0.01952158,0.00001049082,0.01234747,0.0846175,0.001996348,0.4349803,0.4335695,0.003946021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04063725,0.0007410922,0.8596405,0.0149259,0.0003202873,0.001672424,0.000170141,0.0005538765,0.08133851],"genre_scores_gemma":[0.9902999,0.0001092673,0.006003296,0.0009094224,0.00008468503,0.000556144,0.0004714747,0.00005484049,0.001511017],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9496626,"threshold_uncertainty_score":0.9999633,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3117678117","doi":"10.3934/cpaa.2020293","title":"Sub-solutions and a point-wise Hopf's lemma for fractional <inline-formula><tex-math id=\"M1\">$ p $</tex-math></inline-formula>-Laplacian","year":2020,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Lemma (botany); Mathematics; Pure mathematics; Mathematical analysis; Applied mathematics; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.03591084971973917,"gpt":0.2762600621925559,"spread":0.2403492124728167,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.00106168,0.0009111182,0.00136032,0.0009208222,0.00159616,0.0004972083,0.003947955,0.0004331519,0.00002570544],"category_scores_gemma":[0.000786253,0.0009188849,0.0007406831,0.003468561,0.0003508829,0.0009317172,0.001743566,0.001033105,0.000231756],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003736318,"about_ca_system_score_gemma":0.0002266069,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000583956,"about_ca_topic_score_gemma":0.0001911006,"domain_scores_codex":[0.9946433,0.0001329704,0.001669641,0.001415713,0.001029368,0.001109022],"domain_scores_gemma":[0.9911333,0.00170649,0.0007054963,0.005111498,0.0006159406,0.0007272427],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00004991556,0.0006832598,0.00001424962,0.0001523916,0.001016369,0.000003101959,0.00105815,0.1514052,0.008227261,0.8282126,0.001011619,0.008165889],"study_design_scores_gemma":[0.0009037607,0.00009161897,0.00007309213,0.00007983989,0.0008129691,0.00001632076,0.00006788208,0.9182465,0.0002017745,0.0209403,0.0576503,0.0009156431],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00809403,0.001224657,0.9776012,0.00897296,0.0001094696,0.001173314,0.0003039872,0.0009481198,0.001572315],"genre_scores_gemma":[0.601353,0.0006019488,0.3953713,0.0008210601,0.0001684981,0.0007005471,0.0007138383,0.0001039678,0.0001657851],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8072723,"threshold_uncertainty_score":0.9997036,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2887686999","doi":"10.3934/cpaa.2019003","title":"An N-barrier maximum principle for autonomous systems of $n$ species and its application to problems arising from population dynamics","year":2018,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Maximum principle; Tangent; Upper and lower bounds; Combinatorics; Mathematical analysis; Geometry; Mathematical optimization","retraction":null,"screen_n_in":null,"score":{"opus":0.04056374243722637,"gpt":0.3314536929938806,"spread":0.2908899505566542,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005989598,0.0001305386,0.000556739,0.000203441,0.0002613545,0.00001374262,0.0002691517,0.0001867841,0.00003752124],"category_scores_gemma":[0.0001814376,0.0001092068,0.00009202815,0.000373771,0.0001960118,0.00003202866,0.00008256234,0.0001320225,0.00001728858],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006035067,"about_ca_system_score_gemma":0.0000160511,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005276416,"about_ca_topic_score_gemma":0.0003670609,"domain_scores_codex":[0.998858,0.00008029502,0.0005158285,0.000297433,0.00008849073,0.0001599685],"domain_scores_gemma":[0.9977419,0.0004744862,0.0002022755,0.00126182,0.0001768969,0.0001426147],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00009783437,0.0002944399,0.005580028,0.00006710181,0.0004633196,2.435059e-8,0.0003332497,0.002334889,0.001811047,0.9875188,0.000008073154,0.00149123],"study_design_scores_gemma":[0.0003404202,0.0001810157,0.01626608,0.00003796176,0.001320418,8.305646e-7,0.0001454479,0.8892207,0.0001696215,0.09130169,0.0008553225,0.0001605542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3615184,0.00007466838,0.6342828,0.0009974041,0.00001484136,0.0009526006,0.0001027359,0.00004804828,0.002008435],"genre_scores_gemma":[0.9848822,0.00002264198,0.01328166,0.0001894657,0.00004581916,0.0003463527,0.001104717,0.0000128876,0.0001142334],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.896217,"threshold_uncertainty_score":0.4453323,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2075764677","doi":"10.3934/cpaa.2014.13.1407","title":"Green's functions for parabolic systems of second order in time-varying domains","year":2014,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Order (exchange); Mathematics; Mathematical analysis; Applied mathematics; Physics; Economics","retraction":null,"screen_n_in":null,"score":{"opus":0.02153765840993969,"gpt":0.2671764180979753,"spread":0.2456387596880356,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005222015,0.0001483787,0.0004253332,0.000532744,0.000154191,0.00005336608,0.001785971,0.00007607834,0.000008135447],"category_scores_gemma":[0.0001116404,0.0001476199,0.0001264585,0.002046091,0.00005687058,0.0001023529,0.0002896833,0.0001846953,0.00003141767],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005192891,"about_ca_system_score_gemma":0.00001857569,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001103183,"about_ca_topic_score_gemma":0.00006862874,"domain_scores_codex":[0.9987791,0.00005796925,0.0004835197,0.0002819978,0.0001898326,0.0002075681],"domain_scores_gemma":[0.9956887,0.0009286237,0.0001734598,0.003017676,0.0001296678,0.00006186893],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000003314595,0.000153753,0.00004905457,0.00005258848,0.0001886953,2.775975e-8,0.0002494875,0.6482007,0.0009193005,0.3483567,0.00003137784,0.00179506],"study_design_scores_gemma":[0.0002550308,0.00001237911,0.0000788028,0.00002748058,0.0001214445,4.418779e-7,0.00002038742,0.9844281,0.00003875514,0.01183354,0.003017463,0.0001661781],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003292678,0.00009059595,0.9928669,0.0001992911,0.0000222673,0.0002870616,0.00001077628,0.0001121757,0.00311821],"genre_scores_gemma":[0.7378759,0.000008294748,0.2615158,0.00004017137,0.0000125702,0.000271363,0.00003755655,0.0000132168,0.0002251904],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7345832,"threshold_uncertainty_score":0.6019765,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2341300105","doi":"10.3934/cpaa.2017113","title":"Magnetic Laplacians of locally exact forms on the Sierpinski Gasket","year":2017,"lang":"en","type":"preprint","venue":"Communications on Pure &amp Applied Analysis","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Sierpinski triangle; Eigenfunction; Laplace operator; Operator (biology); Eigenvalues and eigenvectors; Spectrum (functional analysis); Mathematics; Magnetic field; Schrödinger's cat; Remainder; Sequence (biology); Mathematical analysis; Magnetic flux; Pure mathematics; Mathematical physics; Physics; Fractal; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.0838621047783494,"gpt":0.353778312910489,"spread":0.2699162081321396,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","open_science"],"consensus_categories":[],"category_scores_codex":[0.00159792,0.0006430321,0.001472651,0.0004450754,0.0006652552,0.0002154288,0.007477876,0.0004530167,0.0004828501],"category_scores_gemma":[0.001092138,0.0004528756,0.001119011,0.0007279076,0.000924068,0.00003959282,0.001921366,0.001843894,0.0002962544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001901128,"about_ca_system_score_gemma":0.0001199325,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001654045,"about_ca_topic_score_gemma":0.0002158054,"domain_scores_codex":[0.9966719,0.0003618292,0.001115529,0.0006108315,0.000819677,0.0004203017],"domain_scores_gemma":[0.9751077,0.004505533,0.001484374,0.01853841,0.0002367876,0.0001272059],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004099874,0.00107694,0.00001209552,0.0001800524,0.001818088,4.388201e-7,0.0007323407,0.0006896866,0.00009377541,0.9924555,0.001111051,0.001788969],"study_design_scores_gemma":[0.000182542,0.00005445292,0.0000946199,0.0002552628,0.003018737,5.308536e-7,0.0002315284,0.001897963,0.000306174,0.9921798,0.001326841,0.0004515107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.05082707,0.0004831523,0.079243,0.01139637,0.0001298349,0.004073945,0.0007156941,0.0005364919,0.8525944],"genre_scores_gemma":[0.9816238,0.000431474,0.01576863,0.0002424627,0.00006012058,0.000582691,0.000271223,0.0001005665,0.0009190679],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9307967,"threshold_uncertainty_score":0.9997923,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4400423741","doi":"10.3934/cpaa.2024050","title":"Elliptic equations with a singular drift from a weak Morrey space","year":2024,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia Hospital","funders":"","keywords":"Mathematical analysis; Space (punctuation); Mathematics; Physics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.05680760278263366,"gpt":0.3341889397693565,"spread":0.2773813369867228,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0003322162,0.0003561132,0.0006271104,0.0004547113,0.0003871623,0.0002406291,0.001170899,0.0001219608,0.0001937383],"category_scores_gemma":[0.000216836,0.0002974701,0.0003048211,0.003000442,0.0002569321,0.0001383544,0.0002859531,0.0006256689,0.0006204437],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001485954,"about_ca_system_score_gemma":0.0000824879,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002619083,"about_ca_topic_score_gemma":0.0003237333,"domain_scores_codex":[0.9979774,0.0001044061,0.0005503588,0.0005497633,0.000496353,0.0003217528],"domain_scores_gemma":[0.9913568,0.003414336,0.0002033658,0.004743139,0.0001357637,0.0001465743],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008886704,0.0004250571,0.000006501867,0.00005453799,0.001803476,9.959106e-7,0.001036764,0.002310911,0.00107954,0.9914653,0.0005063735,0.00130161],"study_design_scores_gemma":[0.0001926907,0.0000212708,0.000006737097,0.0001424853,0.003702936,7.224554e-7,0.0004028225,0.04285461,0.0002051731,0.939923,0.01214676,0.0004008138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00275883,0.0006440325,0.9482342,0.00280776,0.00002073829,0.0005664645,0.00007045543,0.0006077599,0.04428976],"genre_scores_gemma":[0.7039959,0.00006054512,0.2940381,0.00007345037,0.00003650552,0.0003569042,0.0003432712,0.00007704998,0.001018271],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7012371,"threshold_uncertainty_score":0.9999477,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1648075322","doi":"10.3934/cpaa.2016.15.519","title":"Uniqueness of solutions for elliptic systems and fourth order equations involving a parameter","year":2016,"lang":"en","type":"preprint","venue":"Communications on Pure &amp Applied Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Uniqueness; Omega; Lambda; Dirichlet distribution; Dirichlet boundary condition; Order (exchange); Boundary value problem; Mathematics; Boundary (topology); Mathematical analysis; Delta; Mathematical physics; Physics; Combinatorics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.1843213063267549,"gpt":0.3747237790986183,"spread":0.1904024727718633,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001005725,0.0004168596,0.001092538,0.000992827,0.0006321562,0.000160592,0.001300939,0.0004209139,0.00003287522],"category_scores_gemma":[0.001573097,0.0003717315,0.0004708796,0.00108554,0.0003548581,0.00005879002,0.001275923,0.0004916241,0.00001439722],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00015396,"about_ca_system_score_gemma":0.000240358,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009450348,"about_ca_topic_score_gemma":0.001296901,"domain_scores_codex":[0.9970977,0.0003893544,0.001196433,0.0005653172,0.0003609851,0.0003902138],"domain_scores_gemma":[0.9870907,0.005959732,0.001062751,0.004895669,0.0008570258,0.0001340916],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002074836,0.0005738258,0.00008092223,0.0004137257,0.003703872,4.989273e-8,0.0007449302,0.008030177,0.001050448,0.9844516,0.0001870006,0.0007427265],"study_design_scores_gemma":[0.0007846905,0.0000446486,0.0001250571,0.0006113108,0.01356623,6.327733e-7,0.0004373242,0.3992547,0.0001984638,0.5826855,0.001353861,0.0009375574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.007981631,0.0006849898,0.9863139,0.000986557,0.00008388823,0.001893372,0.001157419,0.0001381178,0.0007601521],"genre_scores_gemma":[0.8707502,0.0004163502,0.1242062,0.00002171665,0.00007249262,0.002557686,0.001562043,0.00007485295,0.0003383596],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8627687,"threshold_uncertainty_score":0.9998735,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2083262720","doi":"10.3934/cpaa.2004.3.527","title":"Asymptotic theory for disc-like crystal growth (II): interfacial instability and pattern formation at early stage of growth","year":2004,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Solidification and crystal growth phenomena","field":"Materials Science","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Instability; Growth rate; Plane (geometry); Physics; Mode (computer interface); Pattern formation; Observable; Base (topology); Geometry; Mechanics; Mathematical analysis; Mathematics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.02553380137239184,"gpt":0.2639500328715713,"spread":0.2384162314991795,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007676197,0.0002234449,0.0004133168,0.0003177981,0.0006548557,0.00008470278,0.0008836471,0.00009920324,0.0001366316],"category_scores_gemma":[0.0000929647,0.0002047258,0.0001843382,0.0007092493,0.0004346563,0.0002051914,0.0005002843,0.000137679,0.00002463155],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002033273,"about_ca_system_score_gemma":0.00003781316,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000732825,"about_ca_topic_score_gemma":0.0004570012,"domain_scores_codex":[0.9982751,0.0001602198,0.0006558416,0.0003799226,0.0002782454,0.0002506671],"domain_scores_gemma":[0.9973732,0.0002732144,0.0004211602,0.001589334,0.000228917,0.0001141448],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0006559698,0.001636947,0.006878523,0.0004806153,0.0006913861,1.80479e-7,0.02289567,0.0008262701,0.3271259,0.6361197,0.00007404044,0.002614788],"study_design_scores_gemma":[0.01674318,0.001947124,0.1615647,0.0003236101,0.00719563,0.00001080041,0.02013245,0.004157396,0.3132318,0.460721,0.008853067,0.005119256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8647592,0.00006777497,0.131744,0.0005079967,0.00002908631,0.0005796366,0.0003894767,0.00007896876,0.001843865],"genre_scores_gemma":[0.9968539,0.00005894148,0.002107513,0.0001464833,0.00001499685,0.0002860558,0.0003605105,0.00002042925,0.0001511102],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1753987,"threshold_uncertainty_score":0.8348477,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4296280688","doi":"10.3934/cpaa.2022137","title":"Stable standing waves of nonlinear fractional Schrödinger equations","year":2022,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Combinatorics; Mathematics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.09935145187403792,"gpt":0.3626898381760588,"spread":0.2633383863020208,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007336046,0.0001875657,0.0005069399,0.0005112811,0.0009423513,0.00003259572,0.001057229,0.00004824913,0.0009483318],"category_scores_gemma":[0.0003304461,0.0001961386,0.0002760843,0.002418781,0.0001549472,0.0001060092,0.0006771818,0.0005592314,0.0000356452],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002286775,"about_ca_system_score_gemma":0.00007141878,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007818997,"about_ca_topic_score_gemma":0.00002958614,"domain_scores_codex":[0.9980298,0.0001375897,0.0006709084,0.0002830168,0.000649485,0.0002291872],"domain_scores_gemma":[0.9939488,0.00261728,0.0005456335,0.002644323,0.0001709506,0.00007307123],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000014686,0.0009715614,0.00002720178,0.00003094636,0.0007855672,8.979102e-8,0.0005352159,0.02037559,0.002250406,0.9742049,0.0004169958,0.0003868141],"study_design_scores_gemma":[0.0003019504,0.00002759311,0.00001050084,0.00001346536,0.00108488,5.194314e-7,0.001256997,0.02908995,0.0004841961,0.9583731,0.009079613,0.0002772261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.007485527,0.0001552043,0.9468895,0.00130359,0.00003322136,0.0006076819,0.0004002485,0.0001968948,0.04292815],"genre_scores_gemma":[0.7846324,0.00002575414,0.213926,0.00006511401,0.00001784922,0.0003451646,0.0003722549,0.00003527684,0.0005802145],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7771469,"threshold_uncertainty_score":0.999965,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2050492749","doi":"10.3934/cpaa.2008.7.193","title":"Existence of unstable standing waves for the inhomogeneous nonlinear Schrödinger equation","year":2008,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Standing wave; Physics; Nonlinear Schrödinger equation; Nonlinear system; Homogeneous; Mathematical physics; Schrödinger equation; Instability; Mathematical analysis; Classical mechanics; Mathematics; Quantum mechanics; Thermodynamics","retraction":null,"screen_n_in":null,"score":{"opus":0.2176088815530308,"gpt":0.3709009605686659,"spread":0.1532920790156351,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005711843,0.0001903861,0.0004816234,0.0002036421,0.0007075659,0.00002518135,0.001089526,0.00007621748,0.00002756851],"category_scores_gemma":[0.000503151,0.0001445114,0.0002796245,0.001332548,0.0003305561,0.00007738774,0.0002235677,0.0002203197,0.00001534734],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008581539,"about_ca_system_score_gemma":0.00004738683,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005930755,"about_ca_topic_score_gemma":0.00003877522,"domain_scores_codex":[0.9985101,0.00005531466,0.0006164719,0.0002453084,0.0003453765,0.0002274092],"domain_scores_gemma":[0.9925279,0.003784533,0.0004845639,0.002880198,0.0002705353,0.00005224325],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000248295,0.0004848037,0.00002073201,0.00007744091,0.0007449568,9.680999e-8,0.001132368,0.004654026,0.002350672,0.9889047,0.0001484645,0.001456903],"study_design_scores_gemma":[0.0003730654,0.00003903585,0.000009160433,0.00004507588,0.001412933,0.000001582494,0.0005358536,0.05761988,0.003712111,0.9336817,0.002295719,0.0002739019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01086638,0.0003331014,0.9781843,0.0005340123,0.00001483747,0.0008701922,0.00006946696,0.00009536221,0.00903236],"genre_scores_gemma":[0.640967,0.0002365797,0.3580974,0.00003663501,0.00001992121,0.0002556159,0.00007602786,0.00002801902,0.0002828754],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6301005,"threshold_uncertainty_score":0.5893004,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3157614119","doi":"10.3934/cpaa.2021076","title":"Hadamard Semidifferential, Oriented Distance Function, and some Applications","year":2021,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Combinatorics; Differentiable function; Arithmetic; Discrete mathematics; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.01510343827034271,"gpt":0.2495773149998247,"spread":0.234473876729482,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002144405,0.0002069948,0.0003567151,0.0004444939,0.000847026,0.000329127,0.001139598,0.00009459295,0.0001356426],"category_scores_gemma":[0.00003972487,0.0002098663,0.0002140942,0.004697764,0.0001118448,0.0002511742,0.0005757904,0.0002292271,0.00009836345],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006715574,"about_ca_system_score_gemma":0.00008822948,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008420627,"about_ca_topic_score_gemma":0.000173227,"domain_scores_codex":[0.9982063,0.0001455796,0.0004500797,0.0006274791,0.0003679119,0.0002026337],"domain_scores_gemma":[0.9953871,0.0002462739,0.00022879,0.003561501,0.0004208186,0.0001555],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000004388397,0.0003067151,0.000912982,0.000005794861,0.0008664679,1.631359e-7,0.00009308695,0.003117961,0.0002176653,0.9906066,0.0005237338,0.003344447],"study_design_scores_gemma":[0.001353053,0.00003289674,0.02232532,0.00002216042,0.004275366,0.000004867056,0.0003403386,0.317856,0.0003077127,0.1222843,0.5298836,0.001314456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0002536615,0.0007489813,0.9873279,0.007366019,0.00003037383,0.0001634475,0.00003472152,0.0001934214,0.003881441],"genre_scores_gemma":[0.891187,0.001210971,0.1017515,0.00167949,0.0000564548,0.0004176189,0.001651688,0.0000178201,0.002027497],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8909333,"threshold_uncertainty_score":0.8558099,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1966244518","doi":"10.3934/cpaa.2006.5.779","title":"The behavior of the solution for a mathematical model for analysis of the cell cycle","year":2006,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Mathematical Biology Tumor Growth","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Bounded function; Exponential growth; Exponential function; Mitosis; Radiation therapy; Applied mathematics; Mathematics; Computer science; Biology; Mathematical analysis; Cell biology; Medicine; Internal medicine","retraction":null,"screen_n_in":null,"score":{"opus":0.06292545044911016,"gpt":0.3337770609171059,"spread":0.2708516104679958,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00121372,0.0002122732,0.0007164586,0.0002189098,0.0007580555,0.0000271213,0.002437987,0.0001508579,0.00001644938],"category_scores_gemma":[0.0004444037,0.000109328,0.001470885,0.002138651,0.0006340704,0.000020156,0.0003949857,0.0002096876,0.000002433386],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006395281,"about_ca_system_score_gemma":0.00005088224,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001183997,"about_ca_topic_score_gemma":0.0007266387,"domain_scores_codex":[0.9979653,0.0001705125,0.001015019,0.0002484513,0.0003331841,0.000267544],"domain_scores_gemma":[0.9904489,0.003600161,0.0008930799,0.004750403,0.0002735143,0.00003393294],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002784741,0.001232364,0.0003404945,0.00009549324,0.00170906,5.252806e-9,0.0003308198,0.003982919,0.002877534,0.9884384,0.0007537352,0.0002113618],"study_design_scores_gemma":[0.0002562114,0.00001097215,0.0004788501,0.00001160725,0.01882564,1.626484e-7,0.0001156337,0.4970081,0.002049568,0.4809932,0.0001247533,0.0001252074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1340015,0.0001366298,0.8500249,0.002595701,0.00002170936,0.004016605,0.0006817512,0.0000658732,0.00845536],"genre_scores_gemma":[0.9385065,0.000008837908,0.05839978,0.00003820309,0.000009450421,0.002044445,0.00008071834,0.00002352122,0.0008884693],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8045051,"threshold_uncertainty_score":0.5830427,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3208584434","doi":"10.3934/cpaa.2022127","title":"Relaxation dynamics of SIR-flocks with random epidemic states","year":2022,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Mathematical and Theoretical Epidemiology and Ecology Models","field":"Medicine","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"","keywords":"Lipschitz continuity; Relaxation (psychology); Statistical physics; Initial value problem; Position (finance); Particle system; Mathematics; Cauchy distribution; Applied mathematics; Mathematical analysis; Physics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.02504987092182848,"gpt":0.2946104921352192,"spread":0.2695606212133907,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001283524,0.0001343532,0.0007395847,0.0002675031,0.0003841466,0.0000031742,0.0003975795,0.00009373346,0.0009204776],"category_scores_gemma":[0.0004131547,0.00009939997,0.0002086929,0.0009539291,0.000452789,0.0000155541,0.0001976166,0.0005526656,0.00002059713],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008230281,"about_ca_system_score_gemma":0.00003841786,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001825813,"about_ca_topic_score_gemma":0.0001040589,"domain_scores_codex":[0.9985545,0.0003235298,0.0005408837,0.0002260936,0.0001758911,0.0001791354],"domain_scores_gemma":[0.9959084,0.00200701,0.0002999004,0.001572208,0.0001245399,0.00008796185],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0008799459,0.0007633761,0.004620424,0.00003494704,0.001821384,5.957274e-7,0.0002882727,0.0272694,0.00002876589,0.9628173,0.0003707166,0.001104895],"study_design_scores_gemma":[0.003060928,0.0004288348,0.002508364,0.00002994405,0.006187585,0.000009908418,0.001143756,0.6332457,0.00003786671,0.3498761,0.003159398,0.0003116291],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2456043,0.0004712718,0.6616721,0.02424675,0.00003358984,0.001096182,0.0001545916,0.0001661088,0.06655519],"genre_scores_gemma":[0.990705,0.0001576652,0.006151984,0.0008291067,0.000007951219,0.000277823,0.00138294,0.0000121323,0.0004754364],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7451007,"threshold_uncertainty_score":0.9999928,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2552435377","doi":"10.3934/cpaa.2020010","title":"Droplet phase in a nonlocal isoperimetric problem under confinement","year":2019,"lang":"en","type":"preprint","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University; McMaster University","funders":"","keywords":"Isoperimetric inequality; Volume fraction; Physics; Drop (telecommunication); Limit (mathematics); Length scale; Phase (matter); Condensed matter physics; Mathematical physics; Quantum mechanics; Mathematical analysis; Mathematics; Thermodynamics","retraction":null,"screen_n_in":null,"score":{"opus":0.05004250238144529,"gpt":0.3343932345635113,"spread":0.284350732182066,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","open_science"],"consensus_categories":[],"category_scores_codex":[0.0006120423,0.0004563086,0.0009414182,0.001818873,0.000125554,0.0002239989,0.005421685,0.0002867484,0.00003610428],"category_scores_gemma":[0.00006164513,0.0004580923,0.0003244953,0.003669276,0.00009213841,0.00007873658,0.003991743,0.001364676,0.0001692983],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003689324,"about_ca_system_score_gemma":0.0001413287,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002827773,"about_ca_topic_score_gemma":0.00007413459,"domain_scores_codex":[0.9971623,0.0001034818,0.0009206141,0.0008991554,0.0005077928,0.0004066527],"domain_scores_gemma":[0.9901946,0.0005114987,0.0003467467,0.008677763,0.0001410896,0.0001283239],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000003825555,0.0007020113,0.000006020447,0.00006233079,0.0003805541,4.606309e-7,0.0002573746,0.7862725,0.0001109901,0.2066555,0.0000418651,0.005506563],"study_design_scores_gemma":[0.0005342512,0.00002155754,0.00001436345,0.00008830873,0.0002868624,5.722324e-7,0.00003829353,0.9729583,0.00005095348,0.02407362,0.001454779,0.0004781964],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0006397619,0.0004834885,0.9883443,0.001251252,0.00005478839,0.0008659014,0.000021146,0.0002675795,0.008071801],"genre_scores_gemma":[0.5914446,0.0001487059,0.4074683,0.0001669107,0.0000116388,0.0004489849,0.0001877907,0.00002671334,0.00009637199],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5908048,"threshold_uncertainty_score":0.9999595,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1979112377","doi":"10.3934/cpaa.2006.5.349","title":"Abstract cascading multigrid preconditioners in Besov spaces","year":2006,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Multigrid method; Preconditioner; Applied mathematics; Discontinuous Galerkin method; Computer science; Besov space; Mathematics; Mathematical optimization; Mathematical analysis; Partial differential equation; Physics; Iterative method; Finite element method; Interpolation space; Functional analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.02928461404944098,"gpt":0.3089776061464724,"spread":0.2796929920970314,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002478498,0.0001864681,0.0003333284,0.000582849,0.0001340819,0.00005082843,0.0005727194,0.00008632118,0.00006403146],"category_scores_gemma":[0.00006537529,0.0002004099,0.0001293448,0.001669297,0.00008782252,0.00008014015,0.00006619178,0.0003519051,0.0000828722],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001648322,"about_ca_system_score_gemma":0.000008129995,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002243586,"about_ca_topic_score_gemma":0.0002513425,"domain_scores_codex":[0.9989026,0.00004311284,0.0004665686,0.0001988475,0.0001885268,0.0002003169],"domain_scores_gemma":[0.9975035,0.001154719,0.0001091809,0.001142652,0.00004081501,0.00004914928],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000002158226,0.0001181341,0.0002570832,0.00002265962,0.0001736109,4.004306e-7,0.0001414322,0.9663331,0.0009826107,0.02629804,0.0001803827,0.005490419],"study_design_scores_gemma":[0.0008354429,0.00001504145,0.0394553,0.0001131837,0.0007238681,0.00000305661,0.0007434927,0.7252545,0.001846815,0.2156276,0.01404287,0.001338896],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09554509,0.0007583607,0.832729,0.0005971278,0.0000766697,0.0004565172,0.00007091768,0.0006521443,0.06911418],"genre_scores_gemma":[0.6868817,0.0000578242,0.312683,0.00001997015,0.00002270303,0.0001057288,0.0001739411,0.0000228457,0.0000322238],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5913366,"threshold_uncertainty_score":0.817248,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2323146034","doi":"10.3934/cpaa.2015.14.397","title":"On the asymptotic stability of Volterra functional equations with vanishing delays","year":2015,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Numerical methods for differential equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland; Toronto Metropolitan University","funders":"","keywords":"Volterra integral equation; Mathematics; Convolution (computer science); Integral equation; Collocation (remote sensing); Stability (learning theory); Collocation method; Volterra equations; Extension (predicate logic); Exponential stability; Applied mathematics; Asymptotic analysis; Mathematical analysis; Nonlinear system; Differential equation; Computer science; Physics; Ordinary differential equation","retraction":null,"screen_n_in":null,"score":{"opus":0.269171256678789,"gpt":0.3612874682741718,"spread":0.0921162115953828,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001473274,0.0002217915,0.0004554536,0.000301659,0.0004669561,0.00006713945,0.001065235,0.00007611307,0.0003132661],"category_scores_gemma":[0.002350236,0.0001495391,0.0002465784,0.002212809,0.0003403251,0.00007215072,0.0002151624,0.0004630364,0.00006192611],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001753253,"about_ca_system_score_gemma":0.0001190946,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003925659,"about_ca_topic_score_gemma":0.0005583649,"domain_scores_codex":[0.9976256,0.0005823863,0.000595989,0.0003044698,0.0006862744,0.0002052908],"domain_scores_gemma":[0.9879354,0.007201889,0.0004514158,0.00387858,0.0003986469,0.000134074],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006088375,0.0009324954,0.0002843217,0.000009778461,0.001138252,5.273163e-8,0.0009096568,0.003301335,0.0002953047,0.9908681,0.0002410258,0.001958797],"study_design_scores_gemma":[0.000556662,0.0001441757,0.0008469367,0.00003203789,0.003185831,6.812367e-7,0.00170665,0.0197178,0.0004974683,0.9724459,0.0005148678,0.0003509853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04322839,0.0000217581,0.9431031,0.002450642,0.00002729964,0.0004647918,0.00005460267,0.00009439937,0.01055497],"genre_scores_gemma":[0.8974846,0.000003944653,0.1018376,0.0001277118,0.00001647153,0.0002517998,0.000179159,0.00002590522,0.00007279681],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8542562,"threshold_uncertainty_score":0.6098028,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2577126106","doi":"10.3934/cpaa.2017019","title":"Singular periodic solutions for the $p$-Laplacian in a punctured domain","year":2017,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Singularity; Exponent; Domain (mathematical analysis); Singular solution; Mathematics; Laplace operator; Mathematical analysis; Critical exponent; Pure mathematics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.1391268211341634,"gpt":0.3817558407134863,"spread":0.242629019579323,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0009877746,0.0002222837,0.0004356803,0.0003545948,0.003568338,0.0003619356,0.002399895,0.000135649,0.00008423108],"category_scores_gemma":[0.0009261535,0.0001702746,0.0004134036,0.0006146471,0.0004206488,0.00007021924,0.0004582259,0.0003591579,0.00005822773],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001122853,"about_ca_system_score_gemma":0.00007972135,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008376568,"about_ca_topic_score_gemma":0.01736576,"domain_scores_codex":[0.9984262,0.0001454276,0.0004975944,0.0003005681,0.0002581874,0.0003720217],"domain_scores_gemma":[0.991587,0.001269645,0.0003931606,0.006548182,0.0001258965,0.00007613525],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004683191,0.0007766538,0.0003986874,0.00001884034,0.001345536,2.63696e-7,0.001947078,0.0006939811,0.001186707,0.9870455,0.001047839,0.00549213],"study_design_scores_gemma":[0.002301816,0.00004965242,0.01367028,0.00006523141,0.005976021,0.000001422419,0.00166967,0.06427322,0.0001421099,0.8208545,0.09008112,0.0009149888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03481233,0.0004719144,0.9144561,0.032409,0.0001403647,0.002875852,0.0003297337,0.0002228217,0.01428184],"genre_scores_gemma":[0.953017,0.00005224079,0.04509245,0.0001281968,0.00006514505,0.0009283044,0.0002935421,0.00003171484,0.0003914309],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9182047,"threshold_uncertainty_score":0.9977289,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3199934695","doi":"10.3934/cpaa.2021150","title":"Dynamical analysis in disease transmission and final epidemic size","year":2021,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"COVID-19 epidemiological studies","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"","funders":"","keywords":"Basic reproduction number; Quarantine; Pandemic; Epidemic model; Coronavirus disease 2019 (COVID-19); Computer science; Disease; Disease transmission; Infectious disease (medical specialty); Transmission (telecommunications); Econometrics; Psychological intervention; Demography; Medicine; Biology; Mathematics; Ecology; Environmental health; Virology; Population","retraction":null,"screen_n_in":null,"score":{"opus":0.198381099042694,"gpt":0.4282653792912733,"spread":0.2298842802485792,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001181079,0.0002831474,0.001159659,0.0004782517,0.0003614817,0.0000419833,0.0007314074,0.0001555723,0.0002839622],"category_scores_gemma":[0.004086815,0.0002413755,0.0006173415,0.005054268,0.000261503,0.00003827084,0.000498458,0.0005314887,0.00001680721],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001745377,"about_ca_system_score_gemma":0.00005815796,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006366743,"about_ca_topic_score_gemma":0.002193926,"domain_scores_codex":[0.9971821,0.0007060382,0.0008496841,0.0006583022,0.0002802931,0.0003235347],"domain_scores_gemma":[0.9855804,0.01106229,0.0002222367,0.002789786,0.000100041,0.0002452719],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.0004371281,0.004975626,0.5070738,0.0003293194,0.02036938,0.00003896864,0.002358869,0.02048363,0.001002525,0.4024506,0.001509993,0.03897018],"study_design_scores_gemma":[0.0009824065,0.00002160437,0.5256653,0.00006591776,0.02137209,8.907214e-7,0.0004258887,0.1018363,0.00001226859,0.3354996,0.01328221,0.0008354484],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6186929,0.007343296,0.296328,0.07127704,0.00002020915,0.0008844157,0.0002139724,0.0004020389,0.004838158],"genre_scores_gemma":[0.9587487,0.002130004,0.03757771,0.0008580027,0.00001106194,0.0001608659,0.0002421115,0.00001555759,0.0002560095],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3400558,"threshold_uncertainty_score":0.9843009,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4389892379","doi":"10.3934/cpaa.2023125","title":"Global solutions for the 1-D compressible Euler equations with time-dependent damping","year":2023,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Navier-Stokes equation solutions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Cape Breton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Euler equations; Compressibility; Constant (computer programming); Riemann problem; Initial value problem; Mathematical analysis; Mathematics; Cauchy problem; Euler's formula; Riemann hypothesis; Cauchy distribution; Applied mathematics; Physics; Mechanics; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.1643343024087677,"gpt":0.37968184862101,"spread":0.2153475462122423,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.001380266,0.000286746,0.0004535549,0.0005117073,0.003156152,0.000193669,0.001834331,0.0001294072,0.0001829066],"category_scores_gemma":[0.0005589207,0.0002230838,0.0003641862,0.005897671,0.0003211764,0.0001161118,0.000545609,0.0003008302,0.0007580112],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002786226,"about_ca_system_score_gemma":0.0001513179,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003899857,"about_ca_topic_score_gemma":0.001855651,"domain_scores_codex":[0.9975832,0.0002042183,0.0006437647,0.0004281365,0.0005867991,0.0005539564],"domain_scores_gemma":[0.988484,0.00598637,0.0003944945,0.004615285,0.0003982318,0.0001216577],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002695794,0.0004140752,0.0001610229,0.00001719756,0.002555788,1.679901e-7,0.0005404245,0.09396531,0.0001444679,0.8837246,0.01654131,0.001908725],"study_design_scores_gemma":[0.002219216,0.00007393296,0.001848243,0.00009135623,0.01279526,0.000004257007,0.002327147,0.678794,0.00004075507,0.2051746,0.09543033,0.001200962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0007124759,0.0001956793,0.9730541,0.00933455,0.00004976223,0.001422023,0.0006843804,0.0007213801,0.01382568],"genre_scores_gemma":[0.9467224,0.000138922,0.04324347,0.0002656085,0.00007917891,0.003330751,0.001975933,0.00006698344,0.004176768],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9460099,"threshold_uncertainty_score":0.9981416,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3199144297","doi":"10.3934/cpaa.2006.5.2i","title":"Preface","year":2006,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Session (web analytics); Library science; Computer science; Operations research; Mathematics education; Applied mathematics; Political science; Mathematics; World Wide Web","retraction":null,"screen_n_in":null,"score":{"opus":0.09811607675935588,"gpt":0.3851218722808841,"spread":0.2870057955215282,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003988793,0.0001711555,0.0003846348,0.0003405348,0.0003415801,0.00007674006,0.0009330867,0.0000927404,0.0003723984],"category_scores_gemma":[0.0001271989,0.0001509262,0.0002739731,0.001904594,0.0001145335,0.00003474922,0.0001923303,0.0002342414,0.0001729609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005222587,"about_ca_system_score_gemma":0.00001568827,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005702596,"about_ca_topic_score_gemma":0.0003233329,"domain_scores_codex":[0.9986876,0.0001845856,0.0004301014,0.0002518309,0.000251685,0.0001941492],"domain_scores_gemma":[0.9956304,0.0008846503,0.0002009033,0.003135217,0.00008654823,0.00006229914],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000848548,0.0007229401,0.0001814394,0.000007599357,0.0004517604,7.511389e-8,0.00008234149,0.0003389791,0.0006654509,0.9821452,0.002783657,0.01261204],"study_design_scores_gemma":[0.0003720219,0.00002323121,0.002874194,0.000009860661,0.002604611,4.10471e-7,0.0001142117,0.004707501,0.0005022431,0.8694259,0.1188977,0.0004681026],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02139655,0.0001634407,0.7789245,0.001876484,0.00002514691,0.0003432261,0.00003492551,0.0002988072,0.1969369],"genre_scores_gemma":[0.7518322,0.00003141138,0.2451918,0.00007757138,0.00003093641,0.0001324922,0.0002350668,0.0000198264,0.002448697],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7304357,"threshold_uncertainty_score":0.6154593,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3158596767","doi":"10.3934/cpaa.2021176","title":"Variation operators for semigroups associated with Fourier-Bessel expansions","year":2021,"lang":"en","type":"preprint","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Engineering and Physical Sciences Research Council","keywords":"Bessel function; Fourier transform; Variation (astronomy); Mathematics; Pure mathematics; Mathematical analysis; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.1165199356932712,"gpt":0.3903726587312832,"spread":0.2738527230380121,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001689275,0.0006863448,0.001745077,0.001212514,0.001140797,0.0004184069,0.00298245,0.0007253205,0.0001567442],"category_scores_gemma":[0.002031585,0.000636754,0.001006086,0.004054263,0.000253511,0.0001111158,0.001859379,0.001918369,0.00001338589],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007923383,"about_ca_system_score_gemma":0.0006136116,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005215468,"about_ca_topic_score_gemma":0.003717483,"domain_scores_codex":[0.995294,0.0006180162,0.001169022,0.001209058,0.001096866,0.000613054],"domain_scores_gemma":[0.9839258,0.003856394,0.001114428,0.009280561,0.001571974,0.0002508171],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0004127994,0.01167503,0.001345312,0.0006663812,0.1348214,0.00001170421,0.01718839,0.2119385,0.002274345,0.6022961,0.007789345,0.009580805],"study_design_scores_gemma":[0.006589692,0.0002856705,0.004507012,0.001843472,0.106914,0.000004721907,0.0147376,0.5003554,0.0009681687,0.3406363,0.01557913,0.007578803],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03344634,0.0005005428,0.9570091,0.002248123,0.0000409632,0.002112471,0.000596997,0.0003834329,0.003661989],"genre_scores_gemma":[0.793635,0.0006335925,0.1905378,0.0001337802,0.00005540314,0.003342072,0.01024086,0.0001454839,0.001276023],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7664713,"threshold_uncertainty_score":0.9996084,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}