{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":110,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":110,"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":"4837c7d04820","filters":{"venue":"Journal of Approximation Theory"}},"results":[{"id":"W2012766363","doi":"10.1016/j.jat.2009.11.002","title":"An extension of Bochner’s problem: Exceptional invariant subspaces","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":250,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University; McGill University","funders":"","keywords":"Mathematics; Linear subspace; Differential operator; Pure mathematics; Polynomial; Invariant polynomial; Eigenfunction; Invariant (physics); Codimension; Matrix polynomial; Discrete mathematics; Mathematical analysis; Eigenvalues and eigenvectors","retraction":null,"screen_n_in":null,"score":{"opus":0.04002166652768455,"gpt":0.3207885057019265,"spread":0.2807668391742419,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003012442,0.000124646,0.0003821105,0.0002117639,0.00006707999,0.00003222973,0.0001770109,0.00009219438,0.0006116958],"category_scores_gemma":[0.0005513958,0.00008812692,0.0001458641,0.000154106,0.00005491936,0.0004101417,0.0000108245,0.000162854,0.000008482431],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003012788,"about_ca_system_score_gemma":0.00007301719,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.902015e-7,"about_ca_topic_score_gemma":4.833072e-7,"domain_scores_codex":[0.9982161,0.0002522621,0.0008988455,0.0001017706,0.0004020057,0.0001290002],"domain_scores_gemma":[0.9978073,0.0004722221,0.0009693078,0.0002520645,0.0003988441,0.0001002964],"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":[0.0002157934,0.0006885256,0.00001279382,0.0001040926,0.00003367926,0.000002701703,0.001039869,0.00006071046,0.03969004,0.9510117,0.002640044,0.004500015],"study_design_scores_gemma":[0.0004401779,0.0005356491,0.0004211698,0.000162356,0.00007264323,0.0001116213,0.0004118152,0.0008113069,0.006659564,0.9901145,0.000158712,0.0001005084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5825067,0.0001489369,0.4073978,0.001074881,0.0001932874,0.0003685529,0.000008177215,0.00004085883,0.00826077],"genre_scores_gemma":[0.8255547,0.00002242151,0.1738082,0.000114148,0.000236364,0.000002621658,0.000003210643,0.00001309594,0.0002452576],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.243048,"threshold_uncertainty_score":0.6697639,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2166406271","doi":"10.1016/j.jat.2004.02.006","title":"Finding best approximation pairs relative to two closed convex sets in Hilbert spaces","year":2004,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":210,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Pacific Institute for the Mathematical Sciences; Simon Fraser University; University of Guelph","funders":"","keywords":"Mathematics; Hilbert space; Monotone polygon; Regular polygon; Space (punctuation); Product (mathematics); Zero (linguistics); Subderivative; Combinatorics; Discrete mathematics; Pure mathematics; Convex optimization; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.06930199348747455,"gpt":0.3668878007501858,"spread":0.2975858072627112,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004585347,0.0002518558,0.0005800183,0.0005943056,0.00009755499,0.0000738111,0.0003160063,0.0001220426,0.0001259288],"category_scores_gemma":[0.00437043,0.0002161599,0.0001683125,0.0006805611,0.0001027725,0.0008378522,0.00007136878,0.0005936276,0.00006448273],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005468834,"about_ca_system_score_gemma":0.0001208628,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008637649,"about_ca_topic_score_gemma":0.000005593165,"domain_scores_codex":[0.9968662,0.0007478484,0.001222813,0.000236319,0.0006063271,0.000320555],"domain_scores_gemma":[0.9962955,0.001750556,0.001234455,0.0002687806,0.0002797679,0.0001709788],"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":[0.0003447315,0.0004926545,0.0002303036,0.0002100812,0.0001091066,0.00002566552,0.01565773,0.003426525,0.004095302,0.9613706,0.0002163445,0.01382088],"study_design_scores_gemma":[0.002009719,0.0002229127,0.0000868639,0.0006308139,0.00006191622,0.00006485412,0.002573393,0.001184881,0.01055742,0.9821557,0.0002103847,0.0002410796],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2455428,0.00007267245,0.7422913,0.002233015,0.0004854046,0.000794835,0.000004308141,0.00004962711,0.008526031],"genre_scores_gemma":[0.3948325,0.0000081356,0.6046528,0.0002142853,0.0001036622,0.00002263006,0.000001706974,0.00003768861,0.0001266103],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1492897,"threshold_uncertainty_score":0.8814746,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2086763954","doi":"10.1016/s0021-9045(03)00120-5","title":"Vector cascade algorithms and refinable function vectors in Sobolev spaces","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":164,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Cascade; Mathematics; Sobolev space; Scalar (mathematics); Algorithm; Convergence (economics); Vector-valued function; Applied mathematics; Mathematical analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.006625476822312511,"gpt":0.220979555758396,"spread":0.2143540789360834,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006095255,0.00009390498,0.0001962193,0.0002256266,0.00002464554,0.00002167822,0.00004863071,0.0000479611,0.00003103159],"category_scores_gemma":[0.0001172376,0.00007923209,0.00004599639,0.0002669693,0.0000272307,0.0003488925,0.00000556791,0.0002025959,0.000002243147],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008884579,"about_ca_system_score_gemma":0.000009081276,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001181879,"about_ca_topic_score_gemma":0.000001269493,"domain_scores_codex":[0.9992922,0.0000821857,0.0003077021,0.00006933892,0.0001327152,0.0001158722],"domain_scores_gemma":[0.9996312,0.00007722031,0.0001261342,0.00007157378,0.00004714234,0.00004675036],"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":[0.0005536457,0.0005668369,0.004393059,0.0007766783,0.0007008483,0.0001082496,0.004520302,0.1491986,0.2138511,0.3394701,0.002251372,0.2836092],"study_design_scores_gemma":[0.001927814,0.0005516158,0.007301189,0.0003094888,0.0002183356,0.0002965372,0.002401663,0.05493954,0.242304,0.6593381,0.02953303,0.0008787042],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3326717,0.001908707,0.6626856,0.00006208316,0.0001733222,0.0001008668,8.414142e-7,0.00009625156,0.002300633],"genre_scores_gemma":[0.9692866,0.0001801989,0.0303677,0.00002289302,0.00004882003,0.000004846987,7.267578e-7,0.0000179719,0.00007020828],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6366149,"threshold_uncertainty_score":0.3230991,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2082089361","doi":"10.1016/j.jat.2006.03.008","title":"Bivariate Lagrange interpolation at the Padua points: The generating curve approach","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":127,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Interpolation (computer graphics); Bivariate analysis; Trigonometric interpolation; Lagrange polynomial; Birkhoff interpolation; Simple (philosophy); Applied mathematics; Polynomial interpolation; Lebesgue integration; Linear interpolation; Pure mathematics; Mathematical analysis; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.006853733283551202,"gpt":0.2161392506115856,"spread":0.2092855173280344,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001436881,0.0001267639,0.0001735,0.00008798253,0.0001584296,0.00005855856,0.0002331621,0.00004976033,0.00004305972],"category_scores_gemma":[0.00009017074,0.00006573964,0.0001451214,0.0002753791,0.00006667434,0.0002982565,0.00003617409,0.0002715817,0.000007938244],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001063671,"about_ca_system_score_gemma":0.000006164003,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004249944,"about_ca_topic_score_gemma":0.00000306777,"domain_scores_codex":[0.9987791,0.0002300578,0.0005267427,0.00007837598,0.000252992,0.0001327497],"domain_scores_gemma":[0.9990845,0.0002349324,0.0003517602,0.0001942258,0.0001112371,0.0000233263],"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":[0.0002724544,0.0003240246,0.0007063695,0.0002073255,0.0006992055,0.000008395559,0.004466005,0.4658093,0.2214836,0.1884207,0.01793008,0.09967251],"study_design_scores_gemma":[0.0003476504,0.00004903292,0.0006316531,0.00004593028,0.0001328855,0.00008980949,0.0005978876,0.8147193,0.0144616,0.1646887,0.004002124,0.0002334756],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02801923,0.0006171162,0.9672652,0.0003441691,0.00008471162,0.0001374702,0.000002335794,0.00008516742,0.003444603],"genre_scores_gemma":[0.9290912,0.0000447874,0.07006123,0.0001579531,0.0004248388,0.0000174358,0.00001257214,0.00003213764,0.0001578511],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.901072,"threshold_uncertainty_score":0.2680785,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963899645","doi":"10.1016/j.jat.2014.06.002","title":"The rate of linear convergence of the Douglas–Rachford algorithm for subspaces is the cosine of the Friedrichs angle","year":2014,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":112,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Linear subspace; Mathematics; Intersection (aeronautics); Rate of convergence; Hilbert space; Trigonometric functions; Projection (relational algebra); Convergence (economics); Regular polygon; Point (geometry); Algorithm; Orthographic projection; Applied mathematics; Mathematical analysis; Pure mathematics; Computer science; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.008027509989422685,"gpt":0.227751311518617,"spread":0.2197238015291944,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003391349,0.00008600912,0.0001964827,0.00005267372,0.0002773115,0.00003711636,0.001197031,0.00003812083,0.00001910612],"category_scores_gemma":[0.0005134654,0.00003416243,0.0002763267,0.0005864841,0.0001984547,0.0002383454,0.0001134868,0.0001117524,7.34635e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000142339,"about_ca_system_score_gemma":0.0001027199,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005886105,"about_ca_topic_score_gemma":0.000002554805,"domain_scores_codex":[0.998318,0.0004908295,0.0006222106,0.00008537342,0.0003896967,0.0000939259],"domain_scores_gemma":[0.9956003,0.00114742,0.001797708,0.0004305376,0.001000889,0.00002307591],"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":[0.00009191228,0.0001774504,0.0005232332,0.00005668433,0.0003027268,4.70697e-8,0.00482036,0.02016833,0.001502718,0.9530323,0.002169346,0.01715485],"study_design_scores_gemma":[0.0004369463,0.00008204914,0.001808388,0.00004612574,0.00008074396,0.000003902555,0.0003947383,0.8860462,0.02858542,0.08009741,0.00235976,0.0000583139],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.006376391,0.0001325811,0.9846731,0.008006112,0.0003920466,0.0002109941,0.00001090419,0.000003688122,0.0001942188],"genre_scores_gemma":[0.937636,0.0001382838,0.06024152,0.0009004524,0.0002075448,0.00001049408,0.000001542717,0.00001185215,0.0008523031],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9312596,"threshold_uncertainty_score":0.2224402,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1993673174","doi":"10.1006/jath.2000.3545","title":"Approximation Properties and Construction of Hermite Interpolants and Biorthogonal Multiwavelets","year":2001,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":93,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Biorthogonal system; Mathematics; Hermite polynomials; Hermite interpolation; Matrix (chemical analysis); Applied mathematics; Dilation (metric space); Pure mathematics; Mathematical analysis; Wavelet; Combinatorics; Wavelet transform; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.01222835190857761,"gpt":0.2154383519094687,"spread":0.2032100000008911,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003600175,0.00009464331,0.0002184256,0.0001973471,0.00002586088,0.00001640857,0.00004798693,0.00005484132,0.000007862483],"category_scores_gemma":[0.00007051757,0.0000737517,0.00004025758,0.0001265141,0.0001270645,0.0004135029,0.00001577676,0.0001276188,4.019633e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002377307,"about_ca_system_score_gemma":0.000006183177,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.164906e-7,"about_ca_topic_score_gemma":3.254044e-7,"domain_scores_codex":[0.9992345,0.00005041265,0.0004240234,0.000065161,0.0001500243,0.00007586535],"domain_scores_gemma":[0.9994713,0.00004226536,0.0002534614,0.00006122867,0.0001288262,0.0000429278],"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":[0.0004941517,0.0001233819,0.004140827,0.0006110214,0.0003091493,0.000008712834,0.002207141,0.001598262,0.2718426,0.01467763,0.00006643399,0.7039207],"study_design_scores_gemma":[0.002538717,0.0006164786,0.01150629,0.00118945,0.0003369573,0.002787332,0.003598571,0.4153915,0.384601,0.1752133,0.001344034,0.0008764251],"study_design_candidate":"design_other","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7217937,0.0005300102,0.2772863,0.00002479726,0.00006861245,0.0000751472,0.000001391265,0.00003574832,0.0001843947],"genre_scores_gemma":[0.9474386,0.0005110769,0.05194525,0.00001017301,0.0000705006,0.000002751721,0.000001224763,0.00001111365,0.000009327741],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7030443,"threshold_uncertainty_score":0.3007507,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2072478599","doi":"10.1016/j.jat.2004.12.008","title":"Ul’yanov and Nikol'skii-type inequalities","year":2005,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Type (biology); Inequality; Pure mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.06511926676922151,"gpt":0.3722513155934002,"spread":0.3071320488241787,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002560227,0.0001098327,0.0002962384,0.0002411257,0.00007920073,0.00004452926,0.0001719566,0.0000618443,0.0003170406],"category_scores_gemma":[0.001439129,0.0000845554,0.00008600752,0.0001763957,0.0001012727,0.0004836223,0.00005008841,0.0002798411,0.00002213309],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008905939,"about_ca_system_score_gemma":0.0000716728,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.207653e-7,"about_ca_topic_score_gemma":0.000001267255,"domain_scores_codex":[0.9984072,0.0002591365,0.0006069083,0.0000948626,0.0004606887,0.0001711955],"domain_scores_gemma":[0.9980574,0.0007875199,0.0005068328,0.0001750158,0.0003803867,0.00009281256],"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":[0.0002489956,0.0001508563,0.00009506792,0.0001217057,0.0001792871,0.000006958985,0.00286178,0.0001382089,0.002324214,0.9565164,0.002248923,0.03510761],"study_design_scores_gemma":[0.000625846,0.000108966,0.00006851372,0.00006149029,0.00006950863,0.00009670016,0.002633023,0.001583067,0.005451841,0.9851514,0.004024329,0.0001253261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6742395,0.001948093,0.3126982,0.002000344,0.0001300628,0.0002583817,0.00000444104,0.00005235098,0.008668732],"genre_scores_gemma":[0.9213638,0.0002604186,0.07542352,0.0001266035,0.0003355827,0.000002313837,0.000001452006,0.00002475788,0.002461591],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2471243,"threshold_uncertainty_score":0.3471372,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2107320948","doi":"10.1016/j.jat.2009.09.008","title":"Cauchy biorthogonal polynomials","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":68,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan; Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Biorthogonal system; Hermite polynomials; Orthogonal polynomials; Jacobi polynomials; Positive-definite matrix; Classical orthogonal polynomials; Peakon; Kernel (algebra); Discrete orthogonal polynomials; Pure mathematics; Cauchy distribution; Wilson polynomials; Hermitian matrix; Gegenbauer polynomials; Inverse; Difference polynomials; Laguerre polynomials; Random matrix; Mathematical analysis; Eigenvalues and eigenvectors","retraction":null,"screen_n_in":null,"score":{"opus":0.007001931759014619,"gpt":0.2572374944246489,"spread":0.2502355626656342,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005291958,0.0000725603,0.0001519975,0.00007530541,0.00005372475,0.00003551393,0.0001019987,0.00002251314,0.0003793716],"category_scores_gemma":[0.00001119028,0.00005607112,0.0001458701,0.0000700061,0.00002237789,0.0001768155,0.000006809578,0.0001273866,0.0000168762],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001155204,"about_ca_system_score_gemma":0.00006087449,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.480895e-7,"about_ca_topic_score_gemma":3.371781e-8,"domain_scores_codex":[0.9993113,0.00006786249,0.0003273313,0.00005335024,0.0001332404,0.0001068861],"domain_scores_gemma":[0.9993942,0.00005053629,0.0003100228,0.00008596772,0.00009089965,0.00006834237],"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":[0.000124513,0.0003084544,0.001067813,0.00000477442,0.00008740626,0.000003714686,0.0005519624,0.0001141891,0.007953386,0.8684371,0.001977504,0.1193692],"study_design_scores_gemma":[0.001203335,0.0002867437,0.009216145,0.00005125731,0.00007540431,0.00003085361,0.001015969,0.0005313994,0.01712614,0.959886,0.01033754,0.0002392229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8668722,0.000157809,0.09438989,0.001255565,0.0003582556,0.0001197919,0.00002471599,0.00001312979,0.03680866],"genre_scores_gemma":[0.993463,0.000001939324,0.004958618,0.0001491966,0.001027664,3.274168e-7,0.000005339652,0.000005233638,0.0003886599],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1265908,"threshold_uncertainty_score":0.4153853,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2161830793","doi":"10.1016/j.jat.2004.07.007","title":"Approximation with scaled shift-invariant spaces by means of quasi-projection operators","year":2004,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":67,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Projection (relational algebra); Lipschitz continuity; Operator theory; Spline (mechanical); Smoothness; Wavelet; Invariant (physics); Minimax approximation algorithm; Mathematical analysis; Applied mathematics; Algorithm; Computer science; Artificial intelligence","retraction":null,"screen_n_in":null,"score":{"opus":0.004930028253939086,"gpt":0.2158408961978694,"spread":0.2109108679439304,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007134107,0.0001729398,0.0003718255,0.0002780772,0.00004837203,0.00003412199,0.0001595218,0.00008653081,0.00002200566],"category_scores_gemma":[0.00007595186,0.0001280589,0.0001055165,0.0005093391,0.00007937944,0.0007095927,0.00001098635,0.0002300769,0.000002494106],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001767772,"about_ca_system_score_gemma":0.0000358687,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006559101,"about_ca_topic_score_gemma":0.000003241962,"domain_scores_codex":[0.9986491,0.00008780361,0.000625774,0.0001122574,0.0003797238,0.0001453663],"domain_scores_gemma":[0.9990736,0.00006105708,0.000449504,0.0001575887,0.0001882999,0.00006989991],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.001365253,0.00148086,0.0003868106,0.0009646884,0.00126361,0.00002026571,0.007010271,0.4567382,0.271677,0.2154224,0.0006130759,0.04305749],"study_design_scores_gemma":[0.002264149,0.001366702,0.0002150908,0.0004958826,0.0003131217,0.0001016595,0.002270681,0.03787531,0.7590185,0.1952176,0.0002912065,0.0005701265],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1363544,0.0001871218,0.8624765,0.00009908301,0.00004489451,0.0001652681,0.000003974756,0.0001043622,0.0005643845],"genre_scores_gemma":[0.9087319,0.00007077499,0.09106835,0.00001989901,0.00005177856,0.00001083296,0.000007055056,0.00003041939,0.000008977387],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7723775,"threshold_uncertainty_score":0.5222092,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2159942797","doi":"10.1016/j.jat.2004.10.003","title":"Combinations of multivariate averages","year":2004,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":54,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Smoothness; SPHERES; Multivariate statistics; Degree (music); Applied mathematics; Mathematical analysis; Statistics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.006142129446033879,"gpt":0.239128936119795,"spread":0.2329868066737611,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003102815,0.00006058529,0.0001664426,0.0001559261,0.00001810242,0.000005987134,0.0001000552,0.00003183715,0.00001751599],"category_scores_gemma":[0.0001043611,0.00005046354,0.00008660935,0.0001809436,0.00003179506,0.0002359604,0.000008109254,0.0001157177,0.000002471544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000058103,"about_ca_system_score_gemma":0.000009907549,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.621951e-7,"about_ca_topic_score_gemma":1.258833e-7,"domain_scores_codex":[0.9993708,0.00002851592,0.0003654672,0.00003257109,0.0001428419,0.00005981072],"domain_scores_gemma":[0.9994764,0.00007040916,0.0002033625,0.00007866893,0.0001416214,0.00002958292],"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":[0.0000353449,0.0003868417,0.00002296763,0.00008289397,0.0002072214,0.000005006183,0.001091823,0.3426651,0.08016105,0.548706,0.00007853864,0.02655718],"study_design_scores_gemma":[0.0008249831,0.000079029,0.0003805342,0.00007141444,0.00004360352,0.00001672297,0.000113718,0.00572295,0.2122836,0.7800434,0.0003268143,0.00009328206],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05303763,0.0001367184,0.9454016,0.00006654856,0.00004829617,0.0000439923,0.000001175423,0.00005233494,0.001211705],"genre_scores_gemma":[0.9267342,0.00005418923,0.07315185,0.00001221937,0.0000191424,0.000001610909,0.000001038816,0.000009550091,0.0000162118],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8736966,"threshold_uncertainty_score":0.2057844,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2072513946","doi":"10.1016/j.jat.2003.09.005","title":"Multivariate approximating averages","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Converse; Multivariate statistics; Iterated function; Contrast (vision); Type (biology); Inequality; Pure mathematics; Combinatorics; Mathematical analysis; Applied mathematics; Statistics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.04348682330195442,"gpt":0.3171699987697028,"spread":0.2736831754677483,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007597344,0.0002355173,0.0004763737,0.0002755534,0.0002040286,0.00008733723,0.0003001982,0.0001322895,0.0004642929],"category_scores_gemma":[0.005733251,0.0001839025,0.0002278931,0.0002986218,0.0001198774,0.0007996736,0.00002396959,0.0003850384,0.00002840509],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009952197,"about_ca_system_score_gemma":0.0001096141,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.959426e-7,"about_ca_topic_score_gemma":2.667578e-7,"domain_scores_codex":[0.9967834,0.001065626,0.001188085,0.0001732322,0.0005113368,0.0002783621],"domain_scores_gemma":[0.9961361,0.001334761,0.001696728,0.0002955755,0.0004082275,0.0001286073],"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":[0.00008640633,0.0001657253,0.00004640164,0.0001149951,0.00008763497,0.000009408692,0.003667466,0.0001035232,0.004175608,0.9886944,0.0002796312,0.00256886],"study_design_scores_gemma":[0.0008131093,0.00009236268,0.00002716085,0.0001113191,0.00006458503,0.0002424536,0.003193638,0.0006359984,0.029994,0.963976,0.000641814,0.0002075084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2091122,0.0001814289,0.7660119,0.0001744589,0.0004061676,0.000332757,0.000003155196,0.00008227742,0.02369567],"genre_scores_gemma":[0.7547282,0.00001278314,0.2442658,0.0001012576,0.0001223563,0.00001004874,0.000001367517,0.00003647702,0.0007217004],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.545616,"threshold_uncertainty_score":0.7499326,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W985737668","doi":"10.1016/j.jat.2015.12.003","title":"Recurrence relations for exceptional Hermite polynomials","year":2016,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":52,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; Onderzoeksraad, KU Leuven; Ministerio de Economía y Competitividad","keywords":"Mathematics; Hermite polynomials; Isomorphism (crystallography); Orthogonal polynomials; Eigenvalues and eigenvectors; Pure mathematics; Eigenfunction; Differential operator; Classical orthogonal polynomials; Difference polynomials; Ring (chemistry); Differential (mechanical device); Algebra over a field","retraction":null,"screen_n_in":null,"score":{"opus":0.01572053836398739,"gpt":0.2642586752188247,"spread":0.2485381368548373,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008436579,0.00009261394,0.0001610879,0.00007459101,0.00009109182,0.0000258157,0.0001336013,0.00003087415,0.000565386],"category_scores_gemma":[0.00004594692,0.000062803,0.0001884407,0.00007391448,0.00003340068,0.0003840215,0.00001364446,0.00007700304,0.00004737951],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003172989,"about_ca_system_score_gemma":0.0001072743,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.329527e-7,"about_ca_topic_score_gemma":4.737769e-8,"domain_scores_codex":[0.9991403,0.00007945183,0.0004086618,0.00009181455,0.0001527401,0.0001269845],"domain_scores_gemma":[0.9986283,0.0003908529,0.000548783,0.0001107995,0.0002562942,0.00006498626],"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":[0.00008239307,0.00008108371,0.0002182364,0.000005685694,0.00005070812,1.508232e-7,0.0001034545,0.00000944065,0.007584841,0.8903629,0.002854654,0.09864646],"study_design_scores_gemma":[0.0008568066,0.00009281104,0.0004244504,0.00009781585,0.00003411244,0.000003669173,0.00009914938,0.0002800217,0.00871484,0.9840904,0.005191546,0.0001143029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09006099,0.00005357773,0.9057673,0.000621853,0.0004237148,0.0001817866,0.0000899325,0.000007500416,0.002793364],"genre_scores_gemma":[0.9931574,0.000005417343,0.00483996,0.00003931122,0.0009154589,0.00001541107,0.000008270652,0.00001496986,0.00100383],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9030964,"threshold_uncertainty_score":0.619058,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1963647060","doi":"10.1016/j.jat.2007.04.015","title":"Sharp Jackson inequalities","year":2007,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Trigonometry; Unit sphere; Exponential function; Algebraic number; Smoothness; Trigonometric polynomial; Combinatorics; Pure mathematics; Inequality; Exponential type; Type (biology); Algebra over a field; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.05918308603531314,"gpt":0.3450816928969012,"spread":0.2858986068615881,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007191198,0.0001488333,0.0003267924,0.0002868641,0.00007266249,0.00005889527,0.0002115695,0.0001061055,0.000863014],"category_scores_gemma":[0.002489589,0.0001070663,0.000175391,0.0001908057,0.00006632737,0.0004997789,0.00002198217,0.0002582256,0.00004255076],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008506265,"about_ca_system_score_gemma":0.00004357075,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.716621e-7,"about_ca_topic_score_gemma":0.000001241773,"domain_scores_codex":[0.9977569,0.0001680442,0.001229847,0.00009416039,0.0005564234,0.0001946197],"domain_scores_gemma":[0.9970163,0.001236684,0.000979342,0.0001899187,0.0004664582,0.0001112799],"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":[0.0001243219,0.0001721281,0.00001206756,0.0001455476,0.00003307524,0.000003168365,0.002455364,8.360309e-7,0.0008631822,0.9854056,0.002333199,0.008451569],"study_design_scores_gemma":[0.000449697,0.0001174191,0.00006930922,0.0001200326,0.00003557512,0.00007673717,0.003113787,0.0004810738,0.0177433,0.9758872,0.001783737,0.0001221145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1374042,0.00005841695,0.8224554,0.0003528661,0.00022842,0.0001898639,0.000002225168,0.00005096964,0.03925761],"genre_scores_gemma":[0.6925324,0.00001557333,0.3035964,0.0004428747,0.0006110761,0.000006598563,0.000006628351,0.00004648367,0.002741949],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5551282,"threshold_uncertainty_score":0.9449398,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2028684262","doi":"10.1016/j.jat.2008.08.007","title":"Density results for Gabor systems associated with periodic subsets of the real line","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Gabor transform; Window function; Invariant (physics); Measure (data warehouse); Mathematical analysis; Combinatorics; Pure mathematics; Time–frequency analysis; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.06291068522143357,"gpt":0.3122701405754438,"spread":0.2493594553540103,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004870532,0.0001222526,0.0005452758,0.00008164193,0.000148925,0.00001614726,0.0001997627,0.00008385795,0.000007819354],"category_scores_gemma":[0.002486506,0.0000613704,0.0002754965,0.0002406998,0.0001350357,0.0001077403,0.00001160732,0.0001647875,4.325482e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004411134,"about_ca_system_score_gemma":0.0001003696,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002339638,"about_ca_topic_score_gemma":0.000005078184,"domain_scores_codex":[0.9978425,0.0004386852,0.001010356,0.00008922211,0.0004872789,0.0001319723],"domain_scores_gemma":[0.9956657,0.001786587,0.001486691,0.0002284087,0.0007759252,0.00005669512],"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":[0.003597243,0.001795438,0.0009337775,0.001554155,0.001694763,0.00001468136,0.01207018,0.0005393964,0.003721645,0.9716659,0.001397915,0.001014892],"study_design_scores_gemma":[0.007567079,0.001052627,0.006240081,0.001684425,0.001780701,0.0002982054,0.002140637,0.02098309,0.03521787,0.9224613,0.0001384949,0.0004354553],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7692928,0.00004034209,0.228873,0.0001625529,0.00007283883,0.0003496192,0.00002691719,0.0000109861,0.001170933],"genre_scores_gemma":[0.9762918,0.00002441642,0.02318874,0.00001297548,0.00006814946,0.000006761371,0.000003279791,0.00001483753,0.0003890219],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.206999,"threshold_uncertainty_score":0.297676,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2593829505","doi":"10.1016/j.jat.2012.05.008","title":"Attouch–Théra duality revisited: Paramonotonicity and operator splitting","year":2012,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":45,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of British Columbia; Canada Research Chairs; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Duality (order theory); Monotone polygon; Hilbert space; Operator (biology); Intersection (aeronautics); Projection (relational algebra); Pure mathematics; Combinatorics; Applied mathematics; Discrete mathematics; Algorithm","retraction":null,"screen_n_in":null,"score":{"opus":0.01264066668480964,"gpt":0.2530446148449361,"spread":0.2404039481601265,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00329965,0.00008411923,0.0001876145,0.00013249,0.0001209455,0.0001481053,0.0002250307,0.00004447205,0.00005407277],"category_scores_gemma":[0.0003254058,0.00006578962,0.00007780216,0.0002935941,0.00002608729,0.001537655,0.00007214955,0.000126735,0.000009744213],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000392575,"about_ca_system_score_gemma":0.00003998669,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.704551e-7,"about_ca_topic_score_gemma":5.599995e-8,"domain_scores_codex":[0.9987155,0.0003119805,0.0004694284,0.00009870398,0.0002712765,0.0001331469],"domain_scores_gemma":[0.9987273,0.0002018809,0.0004993625,0.0001623622,0.0002787509,0.0001303608],"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":[0.00001887738,0.000121942,0.004651577,0.00002532256,0.0000705738,8.583639e-7,0.001528129,0.0007728664,0.0002717399,0.9835004,0.000211625,0.008826099],"study_design_scores_gemma":[0.002785127,0.0002429703,0.1064678,0.0002218609,0.0003279291,0.0004705035,0.001217957,0.6701162,0.007123676,0.2013399,0.008686258,0.000999833],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06824346,0.0003925511,0.9292504,0.000957687,0.0001174706,0.00006680044,0.000001245908,0.00001987794,0.0009504754],"genre_scores_gemma":[0.8528088,0.00005164984,0.1463567,0.0005252872,0.0001726553,0.00000152595,0.000001719144,0.000004330447,0.0000772673],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7845653,"threshold_uncertainty_score":0.2682823,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1950077825","doi":"10.1016/j.jat.2015.07.002","title":"Zeros of exceptional Hermite polynomials","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":43,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hermite polynomials; Conjecture; Partition (number theory); Zero (linguistics); Simple (philosophy); Polynomial; Orthogonal polynomials; Pure mathematics; Hermite interpolation; Combinatorics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.0222792757638888,"gpt":0.263786541462833,"spread":0.2415072656989442,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001132249,0.00009464493,0.0002401709,0.00008206988,0.0000272416,0.00002030071,0.0001526938,0.00003042746,0.000219055],"category_scores_gemma":[0.00002092463,0.00007970607,0.000163548,0.00009969895,0.0000382625,0.0002714507,0.00002369234,0.0001277295,0.00002393494],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002299632,"about_ca_system_score_gemma":0.0001647361,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001585523,"about_ca_topic_score_gemma":2.17852e-8,"domain_scores_codex":[0.9989299,0.0001181332,0.0004921069,0.00006812247,0.0002863963,0.000105308],"domain_scores_gemma":[0.9986041,0.00007827688,0.0007490613,0.0001200629,0.000344908,0.0001036476],"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":[0.0001733605,0.0002527975,0.000423283,0.00001596968,0.0001108206,0.000001022029,0.0006743236,0.0001729522,0.0196023,0.9550052,0.002048655,0.02151931],"study_design_scores_gemma":[0.00103938,0.000159356,0.0002497955,0.0000514316,0.00004312304,0.000008139881,0.000836706,0.0006273803,0.05608751,0.9398171,0.0009642781,0.0001158129],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8495755,0.0001190839,0.1419867,0.0001128735,0.000448509,0.0001168922,0.00003083157,0.000006654935,0.007602944],"genre_scores_gemma":[0.9972625,0.000002134665,0.001856538,0.00003387767,0.0006177292,0.0000019706,0.000007556963,0.00001297367,0.0002046638],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.147687,"threshold_uncertainty_score":0.3250319,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2044811379","doi":"10.1016/j.jat.2008.08.014","title":"Bregman distances and Chebyshev sets","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":43,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria; Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Euclidean space; Hilbert space; Convex set; Chebyshev filter; Closed set; Point (geometry); Regular polygon; Monotone polygon; Set (abstract data type); Euclidean distance; Set function; Euclidean geometry; Subderivative; Bregman divergence; Mathematical analysis; Applied mathematics; Convex optimization; Geometry; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.01159791193030638,"gpt":0.2219775932462271,"spread":0.2103796813159207,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005625725,0.00005459629,0.0001142578,0.0001289412,0.0001131562,0.00005217974,0.0002009973,0.00002336147,0.00003129136],"category_scores_gemma":[0.00007374006,0.00004166408,0.00005189069,0.0002205679,0.00004041489,0.000721062,0.00002897737,0.00006487754,0.000004741714],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001654639,"about_ca_system_score_gemma":0.00004267603,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.141835e-7,"about_ca_topic_score_gemma":2.413329e-7,"domain_scores_codex":[0.9992804,0.0000876841,0.0002622274,0.00007712032,0.00023215,0.00006042431],"domain_scores_gemma":[0.999263,0.00009013806,0.0003075191,0.00009533743,0.0001884137,0.00005557371],"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":[0.0000252706,0.00008625181,0.0007607734,0.00001318159,0.00006788787,0.00001087204,0.00268143,0.001762712,0.0001531575,0.9800167,0.001009407,0.01341233],"study_design_scores_gemma":[0.001570704,0.0001927281,0.03236704,0.00005669377,0.00006283254,0.001043547,0.000404129,0.3632512,0.001497151,0.5945805,0.004592557,0.0003809177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02113818,0.0002202749,0.9754475,0.00131474,0.00008163489,0.00002764318,6.001439e-7,0.00001457649,0.001754833],"genre_scores_gemma":[0.8800286,0.0001461067,0.1192114,0.0003014269,0.00005475119,8.357729e-7,0.000001177381,0.000003135184,0.00025254],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8588905,"threshold_uncertainty_score":0.1699012,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2051118339","doi":"10.1016/j.jat.2009.04.003","title":"Approximation by quasi-projection operators in Besov spaces","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"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","keywords":"Mathematics; Projection (relational algebra); Countable set; Scaling; Operator (biology); Combinatorics; Besov space; Discrete mathematics; Mathematical analysis; Functional analysis; Interpolation space; Geometry; Algorithm","retraction":null,"screen_n_in":null,"score":{"opus":0.03045560652190676,"gpt":0.3494117464298117,"spread":0.3189561399079049,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003616658,0.0001743497,0.0004167916,0.000598553,0.00009052345,0.00008427559,0.0002700891,0.0001009517,0.0001130402],"category_scores_gemma":[0.001161438,0.0001430705,0.0001460103,0.0006726947,0.00005628162,0.0009197622,0.00002065883,0.0004707065,0.00001279196],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002990963,"about_ca_system_score_gemma":0.00009314151,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002162436,"about_ca_topic_score_gemma":0.000003130137,"domain_scores_codex":[0.9974386,0.0004935622,0.0009328775,0.0001780499,0.0007006265,0.00025626],"domain_scores_gemma":[0.9982285,0.0003570598,0.0007664519,0.0002228292,0.0003344345,0.00009070802],"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":[0.001041495,0.002719944,0.0004112912,0.0002305104,0.0002178252,0.00002917577,0.008024033,0.0008360185,0.05029809,0.762905,0.008435353,0.1648512],"study_design_scores_gemma":[0.001385272,0.0003908031,0.0001738518,0.0001358626,0.00006084213,0.00005647292,0.004169267,0.01534746,0.02143117,0.9559991,0.000606527,0.0002434009],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3712616,0.0004381825,0.6238721,0.001056772,0.00008889258,0.0003991884,0.000003204892,0.00003946732,0.002840638],"genre_scores_gemma":[0.9606227,0.0001106195,0.03851787,0.00007784385,0.0001339913,0.000009302006,0.000007284757,0.00002321929,0.0004971736],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5893611,"threshold_uncertainty_score":0.5834246,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2109154566","doi":"10.1016/j.jat.2006.01.003","title":"A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":37,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Mathematics; Intersection (aeronautics); Hilbert space; Projection (relational algebra); Regular polygon; Sequence (biology); Space (punctuation); Hilbert manifold; Projection method; Reflection (computer programming); Convex set; Convex analysis; Mathematical analysis; Convex combination; Dykstra's projection algorithm; Pure mathematics; Combinatorics; Convex optimization; Geometry; Mathematical optimization; Algorithm","retraction":null,"screen_n_in":null,"score":{"opus":0.02054058143690368,"gpt":0.3152627328316414,"spread":0.2947221513947377,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003513135,0.00009044157,0.0001752094,0.0002423403,0.0001361386,0.00007792957,0.000262887,0.00004294004,0.0000146988],"category_scores_gemma":[0.0001659256,0.0000546021,0.0001583799,0.0006129574,0.00002702382,0.0004958067,0.00002667284,0.0001461358,7.975412e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002135831,"about_ca_system_score_gemma":0.0001103407,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001085116,"about_ca_topic_score_gemma":0.000116679,"domain_scores_codex":[0.9983453,0.0005389663,0.000593157,0.0001249345,0.0002936703,0.0001040267],"domain_scores_gemma":[0.9979571,0.0004813553,0.0009736548,0.0001522924,0.0004178082,0.00001777759],"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":[0.0002591714,0.0001693584,0.0003495213,0.00002656944,0.0001009066,3.13592e-7,0.003263117,0.1048498,0.003687923,0.8798327,0.0004639832,0.006996609],"study_design_scores_gemma":[0.0009860926,0.0001276249,0.001946477,0.00003200016,0.0000519829,0.0000281874,0.000698498,0.8840356,0.004885803,0.106854,0.0002840632,0.00006960211],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01495931,0.00002877557,0.9811473,0.002701779,0.0003386105,0.0003360531,0.00000126063,0.00001111676,0.0004758297],"genre_scores_gemma":[0.8787819,0.000004650257,0.1207397,0.0001077883,0.0001231227,0.00002521591,0.000004335013,0.000006561699,0.0002067079],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8638226,"threshold_uncertainty_score":0.2226609,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2007857521","doi":"10.1016/j.jat.2006.01.005","title":"On the Lebesgue constant for the Xu interpolation formula","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Trigonometric interpolation; Interpolation (computer graphics); Polynomial interpolation; Lagrange polynomial; Birkhoff interpolation; Lebesgue integration; Chebyshev nodes; Constant (computer programming); Subspace topology; Linear interpolation; Polynomial; Applied mathematics; Mathematical analysis; Discrete mathematics; Pure mathematics; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.03727938516899536,"gpt":0.2947455477832661,"spread":0.2574661626142707,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00338882,0.000105962,0.000188394,0.00007239581,0.0002301862,0.00007476345,0.0001954768,0.00005297795,0.0003450466],"category_scores_gemma":[0.001677144,0.00004677199,0.000202644,0.00008981824,0.00007556022,0.000119642,0.00001454823,0.0001644505,0.00001182585],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003823427,"about_ca_system_score_gemma":0.00003764894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001186021,"about_ca_topic_score_gemma":0.000001971196,"domain_scores_codex":[0.9987956,0.0001498473,0.000636884,0.00006136414,0.0002348853,0.0001213693],"domain_scores_gemma":[0.9892201,0.00970748,0.0006274616,0.0002203528,0.0002012303,0.00002339014],"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":[0.0001554836,0.00009131744,0.0000017456,0.00003501998,0.00004290084,2.125055e-7,0.0002490648,0.00004162589,0.0004159481,0.9696513,0.02805619,0.001259206],"study_design_scores_gemma":[0.0003572738,0.0001139021,0.00001001165,0.00007763171,0.0000844938,0.00002640788,0.0005705605,0.007389327,0.001568082,0.9863133,0.003428889,0.00006007484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0269493,0.00009015567,0.9538321,0.003212594,0.0003515184,0.0006599096,0.00001169654,0.00001742074,0.0148753],"genre_scores_gemma":[0.9844348,0.000006995022,0.01325338,0.0003925503,0.0005104287,0.00004546192,0.00000222673,0.00002377278,0.001330426],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9574854,"threshold_uncertainty_score":0.3778018,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2091718534","doi":"10.1016/j.jat.2007.04.007","title":"Gaussian averages of interpolated bodies and applications to approximate reconstruction","year":2007,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Infimum and supremum; Intersection (aeronautics); Gaussian process; Gaussian; Applied mathematics; Combinatorics","retraction":null,"screen_n_in":null,"score":{"opus":0.03811373082253219,"gpt":0.3511825393245754,"spread":0.3130688085020432,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002654522,0.00009310128,0.0002665635,0.0002462543,0.00005068254,0.00002070895,0.00009888584,0.00007976987,0.00005459775],"category_scores_gemma":[0.001001686,0.00007237714,0.00004877926,0.0001169611,0.0001018021,0.0001207342,0.00002792972,0.0001886484,0.000001642427],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000283253,"about_ca_system_score_gemma":0.00002097167,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.670239e-7,"about_ca_topic_score_gemma":9.842133e-7,"domain_scores_codex":[0.9987861,0.0001204455,0.0007206201,0.0000906394,0.0001667121,0.0001154921],"domain_scores_gemma":[0.9978299,0.001062368,0.000601109,0.0001228457,0.000285892,0.00009786505],"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":[0.0001581654,0.00006219417,0.000132748,0.0001497376,0.00004141658,9.43564e-7,0.001165418,0.00000236276,0.005701209,0.7660878,0.0000559925,0.226442],"study_design_scores_gemma":[0.0002476716,0.0001506237,0.001008076,0.0001634969,0.00004622745,0.000122759,0.001482881,0.0003306755,0.01784489,0.9783845,0.000131551,0.00008662554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.07243379,0.00006208597,0.9240534,0.00008398339,0.00008198308,0.0001963403,0.000006493382,0.00001246732,0.003069464],"genre_scores_gemma":[0.4457262,0.00002117253,0.5540799,0.00003835678,0.00007609251,0.000005011902,4.765639e-7,0.000009579307,0.00004321141],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3732924,"threshold_uncertainty_score":0.2951454,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2068069132","doi":"10.1016/j.jat.2006.05.006","title":"Biorthogonal polynomials for two-matrix models with semiclassical potentials","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Biorthogonal system; Pairing; Orthogonal polynomials; Discrete orthogonal polynomials; Pure mathematics; Wilson polynomials; Classical orthogonal polynomials; Christoffel symbols; Eigenvalues and eigenvectors; Gegenbauer polynomials; Difference polynomials; Jacobi polynomials","retraction":null,"screen_n_in":null,"score":{"opus":0.02941427517640315,"gpt":0.3073823109134732,"spread":0.27796803573707,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002645458,0.0002116909,0.0005773855,0.000225643,0.0001367948,0.00009139456,0.0001999491,0.0001104289,0.0002051529],"category_scores_gemma":[0.0003433679,0.0001411856,0.0003036707,0.0001546712,0.00009713115,0.0004006848,0.00002233688,0.0001699163,0.000008316043],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006312,"about_ca_system_score_gemma":0.0001579311,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002157405,"about_ca_topic_score_gemma":0.000002307204,"domain_scores_codex":[0.9978279,0.0001899308,0.001151762,0.0001551625,0.0004122604,0.0002629755],"domain_scores_gemma":[0.9965052,0.001698253,0.001051,0.0002306391,0.0004094345,0.0001054647],"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":[0.0006132966,0.0003227716,0.000006453809,0.0001413676,0.0001043099,0.000003159525,0.0001030103,0.0009833212,0.007516518,0.9817207,0.007610297,0.000874757],"study_design_scores_gemma":[0.001754584,0.0002327199,0.000006345391,0.0001168383,0.0002478209,0.000192175,0.0001316871,0.005666779,0.01004539,0.9806322,0.0007857468,0.0001876608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09470978,0.0001248007,0.9000477,0.0004947684,0.00018143,0.0004834478,0.00003684752,0.00003811749,0.0038831],"genre_scores_gemma":[0.6054399,0.000005054379,0.3909466,0.00008906206,0.00122065,0.00004178538,0.00001130189,0.00006312806,0.002182525],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5107301,"threshold_uncertainty_score":0.5757382,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2002452257","doi":"10.1016/s0021-9045(02)00044-8","title":"Bilinear semiclassical moment functionals and their integral representation","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Bilinear interpolation; Semiclassical physics; Generalization; Moment (physics); Pure mathematics; Representation (politics); Bilinear form; Mathematical analysis; Applied mathematics; Quantum mechanics","retraction":null,"screen_n_in":null,"score":{"opus":0.04153574342078668,"gpt":0.314983928995245,"spread":0.2734481855744583,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001441967,0.00009156779,0.0001979232,0.0001111871,0.00007553746,0.00004201054,0.00006779726,0.00004835158,0.0001061682],"category_scores_gemma":[0.0004760591,0.00005954821,0.00009593199,0.0001544642,0.00005070278,0.0001943805,0.00001093467,0.0001465449,0.00000451383],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003566514,"about_ca_system_score_gemma":0.00003575885,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.234816e-7,"about_ca_topic_score_gemma":2.141522e-7,"domain_scores_codex":[0.9989753,0.0001978916,0.0004725348,0.00009332145,0.0001749206,0.000086067],"domain_scores_gemma":[0.9984782,0.0007104606,0.0004405169,0.0001276771,0.000180296,0.00006285184],"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":[0.00014227,0.0001654909,0.0001072358,0.0000317774,0.00006202801,6.17197e-7,0.0008242729,0.00003284081,0.002839936,0.9883769,0.002063589,0.005353052],"study_design_scores_gemma":[0.0009556719,0.000078636,0.0001073616,0.00002726062,0.00004226379,0.0001255799,0.002068293,0.0009266068,0.008514661,0.9815401,0.005535461,0.00007814502],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5223944,0.0002457266,0.4724918,0.0006830877,0.0001274838,0.0002449828,0.000003951458,0.0000200769,0.003788531],"genre_scores_gemma":[0.9638487,0.00009980574,0.0350724,0.00009966148,0.0001813767,0.0000187289,0.000003080466,0.00001797079,0.0006582998],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4414544,"threshold_uncertainty_score":0.2428306,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2023606182","doi":"10.1016/j.jat.2014.11.005","title":"Pointwise approximation with quasi-interpolation by radial basis functions","year":2014,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Numerical methods in engineering","field":"Engineering","cited_by":27,"is_retracted":false,"has_abstract":false,"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","keywords":"Pointwise; Mathematics; Radial basis function; Interpolation (computer graphics); Basis (linear algebra); Mathematical analysis; Linear interpolation; Basis function; Function (biology); Applied mathematics; Geometry; Polynomial","retraction":null,"screen_n_in":null,"score":{"opus":0.005697589903712919,"gpt":0.210911109418368,"spread":0.2052135195146551,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001390026,0.0001795312,0.0002738257,0.000254791,0.00005715875,0.00005507046,0.0001485403,0.00008756175,0.0000824485],"category_scores_gemma":[0.0003305651,0.0001500157,0.00009239491,0.0002922628,0.00004232617,0.0005820753,0.000009949129,0.0003176297,0.00001724727],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001181044,"about_ca_system_score_gemma":0.00001361133,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.386296e-7,"about_ca_topic_score_gemma":2.864386e-7,"domain_scores_codex":[0.9986729,0.0001992348,0.0005314182,0.0001074285,0.0003062092,0.0001828121],"domain_scores_gemma":[0.9989638,0.0003565461,0.0002491271,0.000182462,0.0001353023,0.0001127106],"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":[0.0007897646,0.0003945648,0.0003114433,0.0005736809,0.0005769121,0.000004238912,0.002359278,0.2794349,0.09398588,0.04288594,0.007437943,0.5712454],"study_design_scores_gemma":[0.001447019,0.0006258289,0.0003709556,0.0001881196,0.0001460795,0.0001427057,0.0005067294,0.9536597,0.01475673,0.02163678,0.00606618,0.0004531794],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02415272,0.0001135527,0.9718962,0.00007979197,0.0005634176,0.0001303808,0.00000414873,0.0001468558,0.002912917],"genre_scores_gemma":[0.7863691,0.00001378334,0.2130814,0.00004151228,0.0003481564,0.00001335548,0.000009897553,0.00005829786,0.00006446095],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7622164,"threshold_uncertainty_score":0.6117461,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1977571797","doi":"10.1006/jath.2001.3644","title":"Inverse Operators, q-Fractional Integrals, and q-Bernoulli Polynomials","year":2002,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Semigroup; Kernel (algebra); Inverse; Fractional calculus; Orthogonal polynomials; Convolution (computer science); Bernoulli process; Difference polynomials; Classical orthogonal polynomials; Pure mathematics; Askey–Wilson polynomials; Bernoulli polynomials; Operator (biology); Bernoulli's principle; Weight function; Wilson polynomials; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.05071380003004045,"gpt":0.2877109227254098,"spread":0.2369971226953694,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001814963,0.0001508362,0.0003635777,0.0002045939,0.0001191618,0.00008023189,0.0001287603,0.0001054085,0.003461519],"category_scores_gemma":[0.001513143,0.0001099408,0.0001306328,0.0001300624,0.00009186384,0.0004256364,0.00003109979,0.0002616818,0.00006464924],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005411893,"about_ca_system_score_gemma":0.00002643383,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001277833,"about_ca_topic_score_gemma":7.296464e-7,"domain_scores_codex":[0.998464,0.0002355614,0.0007643706,0.0001077084,0.0002805463,0.0001477847],"domain_scores_gemma":[0.9978541,0.001092723,0.0005511627,0.0001709383,0.0001897118,0.000141328],"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":[0.00007627063,0.0003565447,0.00009643643,0.0001320247,0.0001496652,0.000006715781,0.001496582,0.000008988909,0.001274583,0.9111498,0.07730173,0.007950685],"study_design_scores_gemma":[0.001106016,0.0001817853,0.00006072968,0.0001640539,0.0001608604,0.0005317176,0.001214577,0.002434462,0.002691657,0.9722745,0.01892662,0.0002529879],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8497278,0.001131837,0.1143473,0.003374386,0.001220781,0.0005709027,0.00002859621,0.00008906273,0.02950936],"genre_scores_gemma":[0.8548778,0.0005517565,0.1314538,0.001080446,0.001566315,0.00002373018,0.000004479584,0.00008750839,0.01035417],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06112476,"threshold_uncertainty_score":0.9974495,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2212367594","doi":"10.1016/j.jat.2015.11.001","title":"The spectral analysis of three families of exceptional Laguerre polynomials","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Laguerre polynomials; Orthogonal polynomials; Classical orthogonal polynomials; Polynomial; Hermite polynomials; Combinatorics; Sequence (biology); Discrete mathematics; Pure mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.02080707484561586,"gpt":0.260197561052453,"spread":0.2393904862068371,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00148433,0.00009066783,0.0003328694,0.0001576466,0.00004938384,0.00002008454,0.0002167132,0.00002604211,0.00008595277],"category_scores_gemma":[0.00002879843,0.00006079344,0.0003463099,0.0003380907,0.00008743916,0.0001577509,0.00002518527,0.0001150228,0.0000027779],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001930724,"about_ca_system_score_gemma":0.0001353176,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008877137,"about_ca_topic_score_gemma":0.000002856779,"domain_scores_codex":[0.9987802,0.0001160871,0.0005908748,0.0000644474,0.0003424444,0.0001059647],"domain_scores_gemma":[0.9981737,0.0002139499,0.001007227,0.0001658867,0.0003803336,0.00005890417],"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":[0.0002099212,0.0001633901,0.003751355,0.00000921691,0.001308838,3.118621e-7,0.0007733598,0.00117815,0.003711902,0.9741098,0.000408249,0.01437546],"study_design_scores_gemma":[0.0006384498,0.0001646909,0.006929089,0.00002846309,0.0005763001,0.000001455206,0.003212264,0.006566326,0.01459432,0.9669765,0.0002037126,0.0001083846],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9210218,0.0001757708,0.0747739,0.00009210567,0.0001933912,0.00007822493,0.00004436591,0.000002667925,0.00361775],"genre_scores_gemma":[0.9990026,0.000009236496,0.0006559331,0.000007564553,0.0002557258,0.000001556233,0.000009522519,0.000007473571,0.00005042277],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07798074,"threshold_uncertainty_score":0.2479085,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2032501875","doi":"10.1016/j.jat.2011.05.001","title":"Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball","year":2011,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"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","keywords":"Mathematics; Unit sphere; Sobolev space; Continuation; Ball (mathematics); Mathematical analysis; Polynomial; Approximation theory; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.07894267884593487,"gpt":0.285970843939676,"spread":0.2070281650937411,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006122364,0.0002433406,0.0004297241,0.0002079538,0.0001781805,0.0001369712,0.0004024598,0.0001365794,0.0007461545],"category_scores_gemma":[0.002328116,0.0001192682,0.0001517667,0.0003297345,0.000347439,0.0004485353,0.00005126004,0.0005693073,0.00003136262],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004658534,"about_ca_system_score_gemma":0.00006826584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000749368,"about_ca_topic_score_gemma":0.00001438572,"domain_scores_codex":[0.9970255,0.001019407,0.001060149,0.0001567153,0.0005258002,0.0002123509],"domain_scores_gemma":[0.9960864,0.002157904,0.001075164,0.0003434603,0.0002608639,0.00007624178],"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":[0.0007335241,0.0002355606,0.0000372172,0.0000919911,0.00004764055,0.000001580567,0.01132241,0.000004698936,0.00008111929,0.9832127,0.0011479,0.003083627],"study_design_scores_gemma":[0.00209317,0.0001574395,0.0003785858,0.0002507007,0.00007428728,0.00005174022,0.01188723,0.009010543,0.002600886,0.9728653,0.0004632466,0.0001668097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8179345,0.0001605643,0.07993465,0.005383601,0.000287008,0.001663139,0.000006035171,0.00006405656,0.09456646],"genre_scores_gemma":[0.9754071,0.00005465249,0.0227389,0.0006408631,0.0001870723,0.00004663197,0.000003332462,0.00004067353,0.00088078],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1574726,"threshold_uncertainty_score":0.8169868,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2012081515","doi":"10.1016/j.jat.2006.07.006","title":"Nonuniform wavelets and wavelet sets related to one-dimensional spectral pairs","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Wavelet; Generalization; Dilation (metric space); Multiresolution analysis; Translation (biology); Integer (computer science); Spectral analysis; Pure mathematics; Mathematical analysis; Discrete mathematics; Discrete wavelet transform; Combinatorics; Wavelet transform; Artificial intelligence; Computer science","retraction":null,"screen_n_in":null,"score":{"opus":0.0236110468070479,"gpt":0.2982860446287599,"spread":0.274674997821712,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003533265,0.0001748305,0.0004919989,0.0002569214,0.0000964283,0.00004798952,0.0001309701,0.0001028528,0.0003793045],"category_scores_gemma":[0.000357083,0.0001264692,0.0002019664,0.0002501111,0.0000597615,0.0002193622,0.00002593445,0.0002608888,0.00001549448],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004995355,"about_ca_system_score_gemma":0.00003563999,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001871026,"about_ca_topic_score_gemma":0.000002625034,"domain_scores_codex":[0.9978849,0.0002117554,0.001023118,0.0001430611,0.0005166511,0.0002205636],"domain_scores_gemma":[0.998299,0.0007267395,0.000444893,0.0001657446,0.0002158986,0.000147711],"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":[0.0001169067,0.0003447396,0.00002612475,0.0001471826,0.0001498106,0.00001548208,0.0005531506,0.00004608024,0.001942192,0.9878002,0.0006296331,0.008228494],"study_design_scores_gemma":[0.0006493535,0.0001376088,0.0006132736,0.0001254362,0.0001626569,0.0001881701,0.0001242123,0.002761438,0.005098308,0.9898445,0.0001371379,0.0001578833],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7969949,0.00007478768,0.1876366,0.001389816,0.00008353499,0.0002823632,0.000006481683,0.00003514997,0.01349642],"genre_scores_gemma":[0.6080418,0.00000665011,0.3912079,0.0001094484,0.00007660385,0.000003486276,0.000003854921,0.00002493948,0.0005253234],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2035713,"threshold_uncertainty_score":0.5157264,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020710522","doi":"10.1006/jath.2000.3483","title":"On Quasi-Chebyshev Subspaces of Banach Spaces","year":2000,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Linear subspace; Chebyshev filter; Banach space; Subspace topology; Characterization (materials science); Pure mathematics; Approximation property; Discrete mathematics; Mathematical analysis; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.02024660619419333,"gpt":0.298093548275474,"spread":0.2778469420812806,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002620665,0.0002097212,0.0005289665,0.000295215,0.00006710418,0.00002302324,0.0003338403,0.0000896875,0.001543675],"category_scores_gemma":[0.0009157204,0.0001625695,0.0002210573,0.0002609245,0.0001734434,0.000405311,0.00001729851,0.0003309012,0.00003917881],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008169197,"about_ca_system_score_gemma":0.00006130839,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001021286,"about_ca_topic_score_gemma":0.000002281442,"domain_scores_codex":[0.9978489,0.0004275669,0.0007753434,0.0001416998,0.0005870882,0.00021937],"domain_scores_gemma":[0.9965604,0.001617466,0.001119013,0.0003664044,0.0002390135,0.00009772356],"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":[0.001133297,0.0006470378,0.00003293253,0.000179868,0.0001375952,0.00001089915,0.00303213,0.0006714323,0.002354503,0.9687435,0.001633421,0.0214234],"study_design_scores_gemma":[0.0008146053,0.0004330943,0.00006150339,0.0002305284,0.0000814702,0.00005346741,0.001689614,0.0002513222,0.01954261,0.9760779,0.0006011986,0.0001627046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.930822,0.0003373554,0.04745044,0.000508871,0.0001470506,0.0002379837,0.000006464885,0.00004465854,0.02044515],"genre_scores_gemma":[0.9666853,0.00008685056,0.0304958,0.00008988764,0.0001604137,0.000003912515,0.000001321733,0.00004556397,0.002430981],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03586325,"threshold_uncertainty_score":0.999369,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2034659205","doi":"10.1016/j.jat.2008.10.010","title":"Regularity of a vector potential problem and its spectral curve","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Biorthogonal system; Real line; Zero (linguistics); Algebraic number; Matrix (chemical analysis); Line (geometry); Applied mathematics; Mathematical analysis; Pure mathematics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03407341912659999,"gpt":0.2835730414614507,"spread":0.2494996223348507,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00176899,0.0001591928,0.0004759812,0.000122315,0.00007711939,0.00001467205,0.0002113002,0.00008817037,0.00009791878],"category_scores_gemma":[0.0007736809,0.0001259683,0.0001852325,0.0001676423,0.0001804543,0.0003465853,0.00004204781,0.0002933849,0.000004608515],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000047518,"about_ca_system_score_gemma":0.00006459487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.994463e-7,"about_ca_topic_score_gemma":1.113904e-7,"domain_scores_codex":[0.9981268,0.0002877927,0.0008185579,0.0001173353,0.0004718181,0.0001777009],"domain_scores_gemma":[0.9979286,0.0005272427,0.0009490273,0.0001864596,0.0003117049,0.00009698736],"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":[0.0002057873,0.0003381877,0.00001337708,0.0003283935,0.00009674645,0.00001642901,0.001928018,0.00001426671,0.01554595,0.981207,0.0001440487,0.0001617598],"study_design_scores_gemma":[0.0006050876,0.0002076083,0.0002503085,0.0001227505,0.0000846849,0.0005383802,0.0002356482,0.0005981341,0.03976767,0.9574668,0.000005378885,0.0001175193],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9280375,0.0001652018,0.0681063,0.0001875065,0.00009523056,0.0002935527,0.000005825606,0.0000268587,0.003082061],"genre_scores_gemma":[0.9466032,0.0000312696,0.0530305,0.00001586323,0.0001856318,0.000002649623,6.517387e-7,0.0000239633,0.0001062344],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02422172,"threshold_uncertainty_score":0.513684,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1972106510","doi":"10.1016/j.jat.2005.11.013","title":"Approximation on Banach spaces of functions on the sphere","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Banach space; Interpolation space; Banach manifold; Eberlein–Šmulian theorem; Approximation property; Mathematical analysis; Pure mathematics; Lp space; Functional analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.03040204565059841,"gpt":0.2711616397071943,"spread":0.2407595940565958,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003912041,0.0002403042,0.00040647,0.0002701943,0.0002435589,0.00007451191,0.000367995,0.0001345664,0.0005215134],"category_scores_gemma":[0.001117734,0.0001482116,0.0002679211,0.0004056057,0.000233101,0.0004043207,0.0000226802,0.00040514,0.0000461328],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009437894,"about_ca_system_score_gemma":0.00008354736,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002950285,"about_ca_topic_score_gemma":0.000002687847,"domain_scores_codex":[0.9971403,0.000684916,0.001040244,0.0001689693,0.0007594026,0.0002061804],"domain_scores_gemma":[0.9950224,0.00222603,0.00185437,0.0004232785,0.000420136,0.00005374699],"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":[0.0003669385,0.0004081537,0.00003274116,0.00009369505,0.00006702892,0.000001879321,0.0007809972,0.001208827,0.002090625,0.9876889,0.005431615,0.001828574],"study_design_scores_gemma":[0.0005215261,0.0003864087,0.0001487249,0.0002168079,0.00008622413,0.00003100707,0.00461382,0.001040631,0.02900179,0.9630916,0.0007000909,0.0001613492],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7498288,0.0001170176,0.1793832,0.002908099,0.0004187974,0.0007257552,0.00002163868,0.00007426073,0.06652251],"genre_scores_gemma":[0.9903572,0.000008907752,0.007301475,0.0001491052,0.000316853,0.00002032808,0.000007920067,0.00003287793,0.00180531],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2405285,"threshold_uncertainty_score":0.6043895,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2072840624","doi":"10.1016/j.jat.2012.05.004","title":"Relating smoothness to expressions involving Fourier coefficients or to a Fourier transform","year":2012,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Smoothness; Mathematical analysis; Fourier transform; Fourier inversion theorem; Fourier series; Pure mathematics; Trigonometric polynomial; Function (biology); Trigonometry; Fractional Fourier transform; Fourier analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.0693644579259971,"gpt":0.3452382099572257,"spread":0.2758737520312286,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004079842,0.0001868165,0.0004129467,0.0003214315,0.0002258258,0.00006648657,0.0002326123,0.0001105663,0.00110979],"category_scores_gemma":[0.004534461,0.0001234793,0.0001669473,0.0004018025,0.00002615805,0.0004850292,0.00005543373,0.0002572178,0.00007872703],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009834439,"about_ca_system_score_gemma":0.00006888087,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.641887e-7,"about_ca_topic_score_gemma":0.00000101359,"domain_scores_codex":[0.9977756,0.0002182486,0.0009925492,0.0001154839,0.0005252535,0.000372903],"domain_scores_gemma":[0.9969226,0.001666944,0.0004143955,0.00029339,0.0002441409,0.0004585301],"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":[0.00137165,0.001640239,0.0001408215,0.0006728259,0.000254874,0.000008791522,0.06071831,0.0003652494,0.01332195,0.8075517,0.03029167,0.08366191],"study_design_scores_gemma":[0.003083068,0.001006522,0.000190464,0.003533179,0.0006434201,0.0003463417,0.01664839,0.004108294,0.03244191,0.8629796,0.07374878,0.001270033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1817565,0.00005823505,0.8100104,0.0006856562,0.0005618789,0.0005407562,0.000007671056,0.00003539537,0.006343521],"genre_scores_gemma":[0.5631184,0.000005747796,0.4299093,0.0007288749,0.00092063,0.00006627858,0.00000165909,0.00008139543,0.005167731],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.3813619,"threshold_uncertainty_score":0.9998033,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1990057087","doi":"10.1016/j.jat.2013.11.013","title":"Common and interlacing zeros of families of Laguerre polynomials","year":2013,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"National Kidney Foundation of South Africa; National Research Foundation","keywords":"Interlacing; Mathematics; Laguerre polynomials; Interval (graph theory); Combinatorics; Zero (linguistics); Integer (computer science); Discrete mathematics; Orthogonal polynomials; Pure mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.02487347047517668,"gpt":0.2855014896918841,"spread":0.2606280192167074,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001481656,0.0001020983,0.000514883,0.0001903355,0.00003181354,0.00002038608,0.000119485,0.00007050875,0.0003302682],"category_scores_gemma":[0.0007807057,0.00007281661,0.000118857,0.00008891518,0.0001190553,0.0002501997,0.00003883629,0.0001203167,0.000004240736],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001494129,"about_ca_system_score_gemma":0.00002451931,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008762553,"about_ca_topic_score_gemma":7.524567e-7,"domain_scores_codex":[0.9984326,0.0001757627,0.001049206,0.00005826329,0.0001919166,0.00009229697],"domain_scores_gemma":[0.9970741,0.001340073,0.001122898,0.0001670392,0.0002406008,0.0000553255],"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":[0.000209442,0.0004285986,0.0006412059,0.001789484,0.0002576074,8.754591e-7,0.007759963,0.00001413223,0.1037947,0.854577,0.003344918,0.02718211],"study_design_scores_gemma":[0.0005530927,0.0002319654,0.0004094565,0.0004428652,0.0001002723,0.0000456638,0.004001769,0.0003360797,0.08188169,0.9118287,0.000071724,0.00009671303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9734126,0.0001533343,0.02269692,0.0001158906,0.0001047499,0.0002075507,0.000005256461,0.000007355939,0.003296348],"genre_scores_gemma":[0.981643,0.00003179544,0.01803807,0.00002371513,0.00005753234,0.000004072147,5.175195e-7,0.00001215328,0.0001891903],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05725173,"threshold_uncertainty_score":0.3616206,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2074680246","doi":"10.1016/j.jat.2009.11.003","title":"Smoothness of a function and the growth of its Fourier transform or its Fourier coefficients","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Smoothness; Mathematics; Fourier transform; Fourier series; Moduli; Mathematical analysis; Trigonometry; Corollary; Trigonometric functions; Function (biology); Harmonic; Pure mathematics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03657844571253374,"gpt":0.3261143770063955,"spread":0.2895359312938618,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003756422,0.0001305218,0.0004887168,0.0002540075,0.00008232183,0.00001790023,0.0002361704,0.00007890339,0.0001875511],"category_scores_gemma":[0.001671528,0.00007256121,0.0001899625,0.0004172624,0.0001678739,0.0003533392,0.0000198331,0.0002595609,0.000001864922],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004144818,"about_ca_system_score_gemma":0.0000935588,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.347367e-7,"about_ca_topic_score_gemma":4.944273e-7,"domain_scores_codex":[0.997722,0.0003195269,0.000887774,0.0001048311,0.0008002144,0.0001656785],"domain_scores_gemma":[0.9969512,0.0009146621,0.0009772782,0.000181621,0.0009076872,0.00006755209],"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":[0.008878874,0.0006200326,0.00001673306,0.0005598415,0.0004358919,0.000004583184,0.004087869,0.0002074532,0.003751641,0.9264402,0.0002452514,0.05475163],"study_design_scores_gemma":[0.005525087,0.0005587804,0.0002728,0.0002538554,0.0004543137,0.00004605517,0.001574355,0.01828949,0.0201326,0.9526162,0.0001380426,0.0001384019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1398676,0.0008324409,0.8554681,0.001029212,0.00006664971,0.000582202,0.000008139503,0.00001047895,0.002135109],"genre_scores_gemma":[0.9929609,0.0002501597,0.006034756,0.00005060852,0.00005625851,0.00000468827,8.162019e-7,0.00001509843,0.0006267236],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8530933,"threshold_uncertainty_score":0.2958961,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2083925726","doi":"10.1016/j.jat.2009.03.005","title":"On covering numbers of sublevel sets of analytic functions","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Analytic function; Fractal; Pure mathematics; Mathematical analysis; Applied mathematics","retraction":null,"screen_n_in":null,"score":{"opus":0.0295307332793225,"gpt":0.3113000248687476,"spread":0.2817692915894251,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001424328,0.00009646238,0.0003816263,0.000190475,0.00002746261,0.000010712,0.0001328413,0.00006095143,0.0001774562],"category_scores_gemma":[0.001051016,0.0000743889,0.0001916854,0.0001730642,0.00004287966,0.0001433094,0.0000100418,0.0001525786,0.000003989742],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003775328,"about_ca_system_score_gemma":0.00003912161,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.646406e-7,"about_ca_topic_score_gemma":2.798258e-7,"domain_scores_codex":[0.9985833,0.00007629598,0.0008225931,0.00006349272,0.0003565945,0.00009776177],"domain_scores_gemma":[0.9975877,0.0008183193,0.00110901,0.0001845587,0.0002449196,0.00005547917],"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":[0.000147967,0.0004596121,0.00001714449,0.0002056898,0.00008787936,0.000001846241,0.0005095435,0.0004037135,0.002254269,0.9926365,0.0004337411,0.002842118],"study_design_scores_gemma":[0.0004192731,0.0002711634,0.0003272244,0.0002472556,0.00008974919,0.0000230024,0.0003021612,0.007490371,0.001813516,0.9889359,0.00001184477,0.00006855449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6467002,0.00002438213,0.334876,0.0001479888,0.00008951348,0.0001329835,0.0000119961,0.000009263165,0.01800773],"genre_scores_gemma":[0.9853494,0.000006371267,0.01433069,0.00003854796,0.00002154213,5.812231e-7,0.000001257089,0.000009327911,0.0002423269],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3386492,"threshold_uncertainty_score":0.3033491,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2168287380","doi":"10.1016/j.jat.2008.08.015","title":"Bregman distances and Klee sets","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria; Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Mathematics; Singleton; Euclidean space; Euclidean geometry; Mathematical proof; Regular polygon; Monotone polygon; Convex set; Convex hull; Euclidean distance; Complement (music); Norm (philosophy); Perspective (graphical); Combinatorics; Convex optimization; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.05705884265770995,"gpt":0.3071621956500924,"spread":0.2501033529923825,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001119948,0.00007858775,0.0002025398,0.0001676777,0.00009949171,0.00002298874,0.00009490954,0.00003788504,0.00005670891],"category_scores_gemma":[0.0007359226,0.00005664334,0.00005506559,0.0001627502,0.00008253015,0.0003454008,0.0000179259,0.00011115,0.00000254647],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001808967,"about_ca_system_score_gemma":0.00003639049,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.058796e-7,"about_ca_topic_score_gemma":4.578517e-7,"domain_scores_codex":[0.999115,0.00007613975,0.0004005624,0.00005852365,0.0002497125,0.0001000322],"domain_scores_gemma":[0.9987162,0.0005153278,0.0004549975,0.00008130448,0.0001819147,0.00005022658],"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":[0.0001874981,0.0001301077,0.0002571709,0.0003895809,0.00007711782,0.00002694752,0.00699173,0.000004082385,0.0001133907,0.976935,0.004162838,0.01072459],"study_design_scores_gemma":[0.0003988971,0.00009794072,0.0004109504,0.00006390372,0.0000250986,0.0005314231,0.001661394,0.00005776717,0.001037878,0.9942323,0.001394795,0.00008764029],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9171804,0.001311309,0.07580623,0.0002535619,0.0001280729,0.00007001257,0.000004548662,0.00001867164,0.005227164],"genre_scores_gemma":[0.9846088,0.0002712402,0.01425154,0.00007694915,0.0001150904,0.000001480277,7.038932e-7,0.000009427905,0.0006647835],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06742836,"threshold_uncertainty_score":0.2309848,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1986947121","doi":"10.1006/jath.2000.3462","title":"Common Zeros of Two Polynomials in an Orthogonal Sequence","year":2000,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Sequence (biology); Combinatorics; Orthogonal polynomials; Zero (linguistics); Degree (music); Discrete mathematics; Physics","retraction":null,"screen_n_in":null,"score":{"opus":0.0658686173842937,"gpt":0.3634032532574999,"spread":0.2975346358732063,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002909513,0.0001273145,0.0004913575,0.000199337,0.0000403611,0.00002647701,0.000228018,0.00007643381,0.002826036],"category_scores_gemma":[0.0002996523,0.00009946147,0.0001340847,0.0001925503,0.0000886452,0.0003971964,0.00001343044,0.0002128023,0.00001678725],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004671639,"about_ca_system_score_gemma":0.00007981796,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003769104,"about_ca_topic_score_gemma":0.000005143592,"domain_scores_codex":[0.9977983,0.0004266012,0.001225046,0.00009515377,0.0003006235,0.000154286],"domain_scores_gemma":[0.9979978,0.0008627521,0.0006606355,0.0002540595,0.0001335609,0.0000911952],"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":[0.0006602655,0.001156134,0.001202371,0.0002295429,0.00006233081,0.00001211052,0.002562824,0.0003111468,0.02003996,0.9306239,0.0003557375,0.04278371],"study_design_scores_gemma":[0.00101411,0.0002581877,0.000459271,0.000190071,0.00004907269,0.0001002277,0.0002558568,0.0007525586,0.00808143,0.9885924,0.000118011,0.0001287302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9895521,0.00004292804,0.00562827,0.00008197535,0.00007710862,0.0001749567,0.00001192917,0.00001162081,0.004419084],"genre_scores_gemma":[0.9774257,0.00001608712,0.02207111,0.00006960097,0.0001313846,0.000004971811,0.00000247033,0.00001742105,0.0002612461],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05796861,"threshold_uncertainty_score":0.9980855,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2003758148","doi":"10.1016/j.jat.2005.07.010","title":"Convergence rates of vector cascade algorithms in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>","year":2005,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"University of Alberta","keywords":"Mathematics; Algorithm; Sobolev space; Convergence (economics); Subdivision; Combinatorics; Discrete mathematics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.01424848800330087,"gpt":0.2494586004784425,"spread":0.2352101124751416,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002730365,0.0006531469,0.000421136,0.0007472913,0.000548378,0.0004974236,0.001559225,0.001438919,0.2864303],"category_scores_gemma":[0.001741337,0.001175562,0.001497065,0.001328,0.0009486159,0.001986168,0.0007203879,0.001720347,0.0006680625],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003723426,"about_ca_system_score_gemma":0.0007417801,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003790077,"about_ca_topic_score_gemma":0.0002362971,"domain_scores_codex":[0.9928095,0.0004799182,0.00237893,0.0009072755,0.001973008,0.001451353],"domain_scores_gemma":[0.9936812,0.001419366,0.002668038,0.001303202,0.0002280555,0.0007001221],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.002457517,0.0006960475,0.0000363783,0.002209336,0.002902787,0.001163178,0.005032571,0.03971218,0.02508454,0.7503956,0.1564004,0.01390952],"study_design_scores_gemma":[0.001190584,0.0008844651,0.0000915596,0.001045446,0.0007716567,0.0007001848,0.001394881,0.1470841,0.8438952,0.0009349464,0.001100093,0.0009069372],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6963056,0.003289876,0.0325786,0.0008118917,0.001915342,0.0000611111,0.0001377886,0.0002516552,0.2646482],"genre_scores_gemma":[0.9774837,0.002119367,0.01717433,0.0006577741,0.001450852,0.0003133038,0.0001854734,0.0004667012,0.0001484933],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8188106,"threshold_uncertainty_score":0.9998574,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2083624411","doi":"10.1016/j.jat.2008.02.002","title":"Pseudometrics, distances and multivariate polynomial inequalities","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Multivariate statistics; Inequality; Polynomial; Pure mathematics; Applied mathematics; Mathematical analysis; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.07555920322597547,"gpt":0.3136334230890599,"spread":0.2380742198630844,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001783468,0.0001194023,0.0003588095,0.0002716618,0.0001441463,0.00003436014,0.0001101793,0.0000669805,0.0001693329],"category_scores_gemma":[0.002292556,0.00008524078,0.0001015709,0.0001743522,0.0001350781,0.0002904739,0.00002871115,0.0001557108,0.000006497028],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003193235,"about_ca_system_score_gemma":0.00004761424,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002177752,"about_ca_topic_score_gemma":2.572895e-7,"domain_scores_codex":[0.9985874,0.0002052783,0.0007239977,0.00008288289,0.0002692651,0.0001312216],"domain_scores_gemma":[0.9970099,0.002002244,0.0006075104,0.0001317254,0.0001568813,0.00009174214],"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":[0.0005537959,0.0003516262,0.0001553379,0.0003226138,0.0001642121,0.00001624073,0.006875775,0.000004887168,0.002366015,0.9727458,0.01044623,0.005997465],"study_design_scores_gemma":[0.00142372,0.0001938244,0.0003474394,0.00009743915,0.00009422551,0.0005137936,0.001803558,0.0003717126,0.005306035,0.9856692,0.003947801,0.0002312558],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.783066,0.0006080932,0.2099989,0.0002982967,0.0004492106,0.0001855912,0.00001632879,0.00003369704,0.005343876],"genre_scores_gemma":[0.9325492,0.0001170696,0.06553514,0.00006731591,0.000380708,0.000004399351,0.000001117021,0.00001845979,0.001326538],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1494832,"threshold_uncertainty_score":0.3476018,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1913730642","doi":"10.1016/j.jat.2015.05.003","title":"Polynomial approximation with doubling weights having finitely many zeros and singularities","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Gravitational singularity; Polynomial; Pure mathematics; Finitely-generated abelian group; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.06297146987355659,"gpt":0.290755596549118,"spread":0.2277841266755614,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002787499,0.000200885,0.0004375794,0.0002987508,0.0001519805,0.000209281,0.0001438704,0.0001168044,0.00006297438],"category_scores_gemma":[0.0006708169,0.0001401447,0.00008955849,0.0001647462,0.0001230498,0.0006868242,0.00004011859,0.0002620006,0.000007110913],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000764991,"about_ca_system_score_gemma":0.0001181761,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004253835,"about_ca_topic_score_gemma":0.000001477467,"domain_scores_codex":[0.9981734,0.0002122624,0.0008029181,0.0001425808,0.0004676377,0.0002012181],"domain_scores_gemma":[0.9975685,0.0008375251,0.0007947418,0.0002055847,0.0004055952,0.0001880358],"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":[0.002292697,0.000658784,0.000295878,0.0009791803,0.0003651869,0.00001949906,0.02595162,0.0001000817,0.0017851,0.9444164,0.008753453,0.01438213],"study_design_scores_gemma":[0.003939681,0.0008821111,0.0001350149,0.0007964078,0.0003938375,0.0009137474,0.01124328,0.005319734,0.009131167,0.9648581,0.00185744,0.0005295278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7188087,0.0001798517,0.2758358,0.000230059,0.0002491909,0.0002973644,0.000004644789,0.00004948942,0.004344917],"genre_scores_gemma":[0.7969736,0.00001242835,0.2015769,0.0000843481,0.0005584206,0.00001036073,0.00000425583,0.00004737328,0.0007323305],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07816489,"threshold_uncertainty_score":0.5714936,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2101166422","doi":"10.1016/s0021-9045(02)00040-0","title":"Duality for Bregman projections onto translated cones and affine subspaces","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Guelph","funders":"","keywords":"Mathematics; Linear subspace; Duality (order theory); Affine transformation; Pure mathematics; Bregman divergence; Combinatorics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.09284524807894144,"gpt":0.3655512739416614,"spread":0.27270602586272,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002063645,0.0001083428,0.0002761209,0.00007974521,0.000135591,0.00004653066,0.00007214818,0.00006545211,0.0001225698],"category_scores_gemma":[0.0008463102,0.00008128308,0.0001049818,0.0001130188,0.00007182134,0.00016892,0.000005023398,0.0001024471,0.000001113112],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002104988,"about_ca_system_score_gemma":0.00004139871,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001247879,"about_ca_topic_score_gemma":0.000006047818,"domain_scores_codex":[0.9988685,0.0001689961,0.0005918596,0.0000924706,0.0001534455,0.0001246983],"domain_scores_gemma":[0.9979359,0.001174116,0.0004289095,0.000134297,0.0002579763,0.00006881497],"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":[0.00004210354,0.0001935274,0.000009521848,0.0002845999,0.00005565642,1.906611e-7,0.002362104,0.000002233758,0.0008340899,0.99468,0.0007660837,0.0007698608],"study_design_scores_gemma":[0.0006794853,0.00009556978,0.00002306116,0.00005872232,0.0001027726,0.00006367773,0.002464934,0.0004816279,0.003161711,0.9878994,0.004867441,0.0001016149],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2853624,0.0002614963,0.7069333,0.001456497,0.00008856897,0.000826921,0.00002731488,0.0000454144,0.004998049],"genre_scores_gemma":[0.8237685,0.00004069746,0.1736812,0.0001002522,0.0001303076,0.0001012072,0.000005021897,0.00003405426,0.002138798],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5384061,"threshold_uncertainty_score":0.3314628,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3194044455","doi":"10.1016/j.jat.2022.105717","title":"Nonlinear steepest descent approach to orthogonality on elliptic curves","year":2022,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Orthogonality; Method of steepest descent; Mathematical analysis; Gradient descent; Riemann hypothesis; Riemann surface; Kernel (algebra); Pure mathematics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.06039721466700742,"gpt":0.3108615634095375,"spread":0.2504643487425301,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004859414,0.0001550051,0.0003932081,0.0002001721,0.0002174946,0.00003300892,0.0003009251,0.00003619523,0.0009428888],"category_scores_gemma":[0.001085361,0.0001207273,0.0002068838,0.0002972282,0.00003130899,0.0001035209,0.00008517251,0.0003962771,0.00003346988],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001392484,"about_ca_system_score_gemma":0.00008654322,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.690229e-7,"about_ca_topic_score_gemma":1.16165e-7,"domain_scores_codex":[0.9974938,0.0005957112,0.0008529958,0.0001481951,0.0007225975,0.0001866699],"domain_scores_gemma":[0.9978552,0.0009196984,0.0005799059,0.0003194443,0.0001725502,0.0001532338],"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":[0.0004471127,0.002662264,0.00002234186,0.0007270226,0.0001177014,0.000004800875,0.001090385,0.0008229681,0.0003273188,0.97174,0.0199523,0.00208577],"study_design_scores_gemma":[0.001695725,0.001876572,0.0001511513,0.000626623,0.0004023226,0.0005038696,0.003221568,0.004446754,0.003263656,0.9434965,0.03963755,0.0006777266],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4538862,0.0005761767,0.4779027,0.003002569,0.0012035,0.001933583,0.000113459,0.0001177609,0.06126411],"genre_scores_gemma":[0.6525186,0.00008092984,0.3335041,0.005766901,0.001246484,0.0002392545,0.00003862476,0.0001510566,0.006453949],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.1986325,"threshold_uncertainty_score":0.9999704,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3071135787","doi":"10.1016/j.jat.2020.105472","title":"Recovery guarantees for polynomial coefficients from weakly dependent data with outliers","year":2020,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; Dalhousie University","funders":"Air Force Office of Scientific Research; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Concentration inequality; Mixing (physics); Outlier; Ergodic theory; Applied mathematics; Markov chain; Sampling (signal processing); Matrix (chemical analysis); Polynomial; Function space; Algorithm; Mathematical optimization; Computer science; Discrete mathematics; Mathematical analysis; Statistics; Filter (signal processing)","retraction":null,"screen_n_in":null,"score":{"opus":0.02863703648723597,"gpt":0.2358758877817927,"spread":0.2072388512945567,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002584357,0.0001013707,0.0001894404,0.00005861135,0.00003385311,0.00005203961,0.0003294433,0.00004594893,0.00001400232],"category_scores_gemma":[0.00008759453,0.00008057991,0.00004607995,0.00005934354,0.0000227954,0.0002862659,0.00003433025,0.0001316536,0.000002988926],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002826561,"about_ca_system_score_gemma":0.00002737108,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001304992,"about_ca_topic_score_gemma":8.113866e-7,"domain_scores_codex":[0.9993008,0.00003534128,0.0002797685,0.0001059094,0.000177059,0.0001011459],"domain_scores_gemma":[0.9993745,0.0001216406,0.0001673329,0.000197888,0.00008242974,0.00005622149],"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":[0.01266782,0.0004088354,0.0003599044,0.0002810825,0.002672309,0.0001106932,0.007624141,0.282007,0.2246624,0.002884021,0.1825429,0.2837789],"study_design_scores_gemma":[0.004524261,0.001344731,0.0003749322,0.0006245106,0.0005378133,0.00009437511,0.00268247,0.633632,0.3216671,0.01703843,0.01663201,0.00084738],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1446971,0.0002677866,0.854005,0.000162544,0.0002285521,0.0001548034,0.00006884741,0.00009809713,0.0003172003],"genre_scores_gemma":[0.9659047,0.00003379594,0.03347899,0.0001902491,0.0003216543,0.000001894143,0.00003280052,0.00002825171,0.000007651252],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8212076,"threshold_uncertainty_score":0.3285954,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1593919095","doi":"10.1016/j.jat.2015.08.008","title":"On linear independence of integer shifts of compactly supported distributions","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Image and Signal Denoising Methods","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"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","keywords":"Mathematics; Integer (computer science); Independence (probability theory); Simple (philosophy); Discrete mathematics; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.03742725484500291,"gpt":0.31100560867614,"spread":0.273578353831137,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004024834,0.00008546218,0.0002675792,0.0002199553,0.00002777636,0.00002527216,0.0005345128,0.0000611937,0.00001767549],"category_scores_gemma":[0.001058626,0.00006540122,0.0001093088,0.0003381243,0.0000896834,0.000539658,0.00005587502,0.0002417345,0.000005412788],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004397255,"about_ca_system_score_gemma":0.0002433447,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002543173,"about_ca_topic_score_gemma":1.500326e-7,"domain_scores_codex":[0.9981788,0.0004403703,0.0006129555,0.00008811284,0.0005721584,0.0001076364],"domain_scores_gemma":[0.9974662,0.0004085625,0.0008496589,0.0002554164,0.0009197146,0.0001004698],"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":[0.0008114767,0.0007697826,0.0001753025,0.00007831142,0.0001206964,0.0000353265,0.005393512,0.003436362,0.02925748,0.9210283,0.002005572,0.03688793],"study_design_scores_gemma":[0.00184748,0.001014978,0.001520454,0.0002601201,0.00004217617,0.0001152124,0.0003601247,0.03042937,0.2643988,0.6996623,0.0001802509,0.0001686923],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07436793,0.00007451087,0.924121,0.0001912816,0.0001963523,0.00005704679,0.000005363531,0.000009342679,0.0009772351],"genre_scores_gemma":[0.9224698,0.000003888958,0.07739229,0.00005544201,0.00003544749,4.594071e-7,0.000002014157,0.000004177978,0.00003647221],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8481019,"threshold_uncertainty_score":0.2666984,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2049079538","doi":"10.1016/j.jat.2015.02.007","title":"Near oracle performance and block analysis of signal space greedy methods","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Air Force Office of Scientific Research; Azrieli Foundation; Simons Foundation","keywords":"Orthonormal basis; Compressed sensing; Block (permutation group theory); Oracle; Algorithm; Mathematics; Additive white Gaussian noise; SIGNAL (programming language); Greedy algorithm; Space (punctuation); Basis (linear algebra); Gaussian; Noise (video); Computer science; White noise; Artificial intelligence; Combinatorics; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.02407761480701673,"gpt":0.2808118933087718,"spread":0.256734278501755,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001167991,0.00007045813,0.000241323,0.0002344731,0.00002005795,0.00002153554,0.00007911271,0.00004174697,0.000009861471],"category_scores_gemma":[0.00004681797,0.00005903086,0.00006453253,0.0003114648,0.0000472872,0.0001773712,0.00001653193,0.0001107118,5.736198e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000021496,"about_ca_system_score_gemma":0.00001791467,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001331625,"about_ca_topic_score_gemma":2.127107e-7,"domain_scores_codex":[0.9993643,0.0001039647,0.0002710363,0.00004467311,0.0001472136,0.00006878619],"domain_scores_gemma":[0.9993679,0.00008693646,0.0001912965,0.00009885331,0.0001986784,0.00005631906],"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":[0.0004630572,0.0001500213,0.003666424,0.0001639445,0.003323523,0.00001484758,0.007687178,0.7223355,0.1019324,0.01757005,0.002679399,0.1400137],"study_design_scores_gemma":[0.0002527529,0.0001406762,0.00218998,0.00005449028,0.000500354,0.00004057955,0.0003531497,0.8642694,0.1222698,0.009365932,0.0004549298,0.000107947],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6717321,0.0005303482,0.3266775,0.00001769053,0.00004447371,0.0000319507,6.932876e-7,0.00003331012,0.0009319439],"genre_scores_gemma":[0.860257,0.00004820707,0.1396372,0.000008888836,0.00002671949,4.070466e-7,4.791577e-7,0.000008053165,0.00001310834],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1885249,"threshold_uncertainty_score":0.2407209,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2083124319","doi":"10.1016/j.jat.2013.05.001","title":"Direct and inverse approximation theorems for the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si5.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>p</mml:mi></mml:math>-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems","year":2013,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Inverse; Sobolev space; Convergence (economics); Applied mathematics; Pure mathematics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.02137961808491169,"gpt":0.2690408831358624,"spread":0.2476612650509508,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007110961,0.0003511847,0.0004485358,0.0002125961,0.0003797808,0.000209067,0.000678143,0.0003900521,0.0001284945],"category_scores_gemma":[0.003261643,0.0002207312,0.0004854857,0.0005157033,0.0004451084,0.0008139436,0.0001755508,0.0005953735,0.00002333096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004235648,"about_ca_system_score_gemma":0.0001520536,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002938821,"about_ca_topic_score_gemma":0.00001961738,"domain_scores_codex":[0.9958153,0.0007742073,0.001641489,0.000312965,0.001104245,0.0003518075],"domain_scores_gemma":[0.9909545,0.005063152,0.002747108,0.000757619,0.0003793817,0.00009829737],"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":[0.0004189024,0.0003622132,0.000006765189,0.00073506,0.0002003741,9.779135e-7,0.009092699,0.0004235807,0.001144372,0.9844877,0.0008948642,0.002232467],"study_design_scores_gemma":[0.00082856,0.0002101688,0.00001923638,0.0005590128,0.0002572906,0.00002678552,0.006849803,0.6390323,0.0159062,0.3358834,0.0002761995,0.0001510344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.735045,0.00009773344,0.2611396,0.001024367,0.0002840875,0.0007593468,0.00003806611,0.00003042719,0.001581387],"genre_scores_gemma":[0.8835089,0.0002025877,0.1147278,0.0005769365,0.0002911824,0.0004520163,0.00007062466,0.00008545263,0.00008455155],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6486043,"threshold_uncertainty_score":0.9001157,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2941487973","doi":"10.1016/j.jat.2019.04.005","title":"On the strong restricted isometry property of Bernoulli random matrices","year":2019,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":8,"is_retracted":false,"has_abstract":false,"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","keywords":"Restricted isometry property; Bernoulli's principle; Mathematics; Random matrix; Bernoulli process; Gaussian; Combinatorics; Random field; Matrix (chemical analysis); Lemma (botany); Isometry (Riemannian geometry); Discrete mathematics; Compressed sensing; Pure mathematics; Algorithm; Statistics","retraction":null,"screen_n_in":null,"score":{"opus":0.01042324306797262,"gpt":0.212246264125185,"spread":0.2018230210572124,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005182185,0.00008514534,0.0001923169,0.000182435,0.00002313821,0.00002146258,0.0001885017,0.00004901737,0.00007719143],"category_scores_gemma":[0.0001121601,0.00004257693,0.00008710334,0.0001951881,0.0000250541,0.0001315125,0.00001352294,0.0002050171,0.000009522636],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002630825,"about_ca_system_score_gemma":0.00001475211,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001108477,"about_ca_topic_score_gemma":5.893414e-8,"domain_scores_codex":[0.9991924,0.0001084807,0.000335245,0.00004747988,0.0002325196,0.00008383836],"domain_scores_gemma":[0.9990315,0.0003820485,0.0002632939,0.0001758361,0.0001266107,0.00002068037],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.004040938,0.0006058192,0.0009979995,0.0005929354,0.001394758,0.00002529421,0.003458117,0.1386545,0.3702469,0.3636347,0.03966089,0.07668716],"study_design_scores_gemma":[0.004377421,0.001105073,0.002321499,0.001690867,0.0002163872,0.0001164172,0.00196892,0.126124,0.6765573,0.1817862,0.003161154,0.0005746976],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9485147,0.0004481578,0.04038011,0.0001010166,0.0002273805,0.0002518144,0.000002018843,0.00006993609,0.01000487],"genre_scores_gemma":[0.9982644,0.00008579865,0.001460575,0.00002787832,0.00005347137,0.00000151888,6.19097e-7,0.00001455985,0.00009118586],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3063104,"threshold_uncertainty_score":0.1736237,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2054281510","doi":"10.1006/jath.2001.3636","title":"Antiproximinal Norms in Banach Spaces","year":2002,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"Simon Fraser University","keywords":"Mathematics; Banach space; Separable space; Norm (philosophy); Pure mathematics; Banach manifold; Regular polygon; Dual norm; Approximation property; Interpolation space; Lp space; Mathematical analysis; Functional analysis; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.0364548692731139,"gpt":0.2938604944171202,"spread":0.2574056251440063,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024676,0.0001849442,0.0004202207,0.0004534298,0.0000559358,0.00003578009,0.0003037213,0.00007930307,0.0005869681],"category_scores_gemma":[0.001030749,0.0001455065,0.0001401958,0.0003451848,0.0001127427,0.000685684,0.0000365311,0.000422869,0.00003865565],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000133538,"about_ca_system_score_gemma":0.00002143779,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.341843e-7,"about_ca_topic_score_gemma":0.000004530631,"domain_scores_codex":[0.9981062,0.0002915604,0.0007533284,0.0001383508,0.0004419475,0.0002686251],"domain_scores_gemma":[0.9979402,0.0006800245,0.0008590177,0.0002630656,0.0001673046,0.00009037343],"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":[0.000360763,0.0007897332,0.0007766788,0.0002515961,0.00008487904,0.0001131271,0.007059735,0.0002710887,0.003472603,0.9577836,0.002594999,0.02644117],"study_design_scores_gemma":[0.001140792,0.0001430609,0.0002544805,0.0001721132,0.00004282438,0.0002297837,0.002507579,0.002156293,0.004269016,0.9882698,0.0006110565,0.0002032067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8471672,0.0008269424,0.135337,0.001019788,0.0003130079,0.0003351803,0.000002944558,0.0000573039,0.01494065],"genre_scores_gemma":[0.9401774,0.0000709645,0.05818156,0.00008911112,0.0002114859,0.000005059684,5.945884e-7,0.00003801894,0.001225766],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09301025,"threshold_uncertainty_score":0.642689,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1969075526","doi":"10.1016/j.jat.2009.12.010","title":"Computation of weighted capacity","year":2010,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Computation; Measure (data warehouse); Set (abstract data type); Upper and lower bounds; Mathematical optimization; Plane (geometry); Value (mathematics); Algorithm; Applied mathematics; Discrete mathematics; Computer science; Data mining; Mathematical analysis; Statistics; Geometry","retraction":null,"screen_n_in":null,"score":{"opus":0.03912598833639111,"gpt":0.2974893503978603,"spread":0.2583633620614691,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002454447,0.00007966987,0.0002142716,0.0001887404,0.00004793136,0.00001332708,0.0001235236,0.00007932794,0.0001248535],"category_scores_gemma":[0.002563837,0.0000645782,0.0001158926,0.0001935671,0.0001125979,0.0002762809,0.00001379583,0.0002917898,0.000006593401],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003467643,"about_ca_system_score_gemma":0.00008462923,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001327444,"about_ca_topic_score_gemma":0.000003268104,"domain_scores_codex":[0.9985314,0.0001705624,0.0007460486,0.00006990134,0.0004065237,0.00007554625],"domain_scores_gemma":[0.9968376,0.00105138,0.0009925136,0.0001479135,0.0009223251,0.00004826541],"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":[0.0002521349,0.000412429,0.0001650272,0.0001504062,0.00006806612,5.98728e-7,0.001387328,0.0001115427,0.0384392,0.9537856,0.0004156162,0.004812074],"study_design_scores_gemma":[0.0005911377,0.00008904987,0.0009654943,0.00003410559,0.00004061757,0.00004613174,0.0001988625,0.003954905,0.01731621,0.9766218,0.00008036894,0.00006128411],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7605108,0.000006753181,0.236918,0.0001750244,0.0003327873,0.0001114581,0.00000593755,0.00001307964,0.00192618],"genre_scores_gemma":[0.8774494,8.560017e-7,0.1223829,0.00001405516,0.0001051892,0.000001653337,0.000002509245,0.00000880715,0.00003466675],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1169386,"threshold_uncertainty_score":0.3069338,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2765473875","doi":"10.1016/j.jat.2017.10.005","title":"Bernstein type inequalities for restrictions of polynomials to complex submanifolds of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"mml1\" display=\"inline\" overflow=\"scroll\" altimg=\"si1.gif\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>","year":2017,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Holomorphic function; Type (biology); Polynomial; Complex quadratic polynomial; Inequality; Bernstein polynomial; Pure mathematics; Combinatorics; Mathematical analysis","retraction":null,"screen_n_in":null,"score":{"opus":0.04291381457975747,"gpt":0.2825229121867807,"spread":0.2396090976070232,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003539267,0.0006487793,0.0005261048,0.0007066197,0.001357826,0.001047279,0.002075217,0.001376057,0.1008325],"category_scores_gemma":[0.002994529,0.001066618,0.001531535,0.0007109139,0.0009222825,0.001541608,0.00118157,0.001006954,0.0004059876],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002203988,"about_ca_system_score_gemma":0.001275089,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006605551,"about_ca_topic_score_gemma":0.0003227196,"domain_scores_codex":[0.9927056,0.000469368,0.002733174,0.0008352313,0.001952875,0.001303738],"domain_scores_gemma":[0.9895882,0.002204891,0.00500368,0.002084753,0.0004677949,0.0006506831],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.003714037,0.0004871249,0.00001218153,0.002364218,0.001644976,0.0002237528,0.00312828,0.001349526,0.003972067,0.9221873,0.05994987,0.0009667235],"study_design_scores_gemma":[0.004256835,0.003635396,0.0003490007,0.002140468,0.002545615,0.001752723,0.007201806,0.1084177,0.8604297,0.005558038,0.002360724,0.001351964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7607604,0.0004819615,0.006537722,0.0007678575,0.002102519,0.00009364276,0.0005646446,0.00007848985,0.2286128],"genre_scores_gemma":[0.9860306,0.0003918074,0.009792215,0.0004220869,0.001746557,0.0003341433,0.0003799366,0.0003898023,0.0005128869],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9166292,"threshold_uncertainty_score":0.9999897,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}