{"meta":{"query_hash":"3e2af805904c","filters":{"topic":"Approximation Theory and Sequence Spaces"},"cohort_total":212,"direct_labels_cover":0,"predictions_cover":212,"exported":212,"export_cap":100000,"truncated":false,"label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12"},"permalink":"https://metacan.xera.ac/q/3e2af805904c","api":"https://metacan.xera.ac/api/v1/cohort?topic=Approximation+Theory+and+Sequence+Spaces"},"results":[{"id":"W1493029022","doi":"10.1002/9781118164587.ch4","title":"Normed Vector Spaces","year":2009,"lang":"en","type":"other","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University; University of British Columbia; University of Toronto","funders":"","keywords":"Vector (molecular biology); Normed vector space; Mathematics; Vector space; Pure mathematics; Biology; Genetics","score_opus":0.03407269658797365,"score_gpt":0.30774265987938426,"score_spread":0.27366996329141063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1493029022","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000023204917,0.00011902953,0.0031287589,0.00034377482,0.00011514545,0.00024020077,0.000008333633,0.0006662618,0.9953553],"genre_scores_gemma":[0.00021429223,0.00003510011,0.025027681,0.00014051473,0.00026865266,0.000010005108,0.000009199475,0.00019230397,0.97410226],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99931926,0.00004093493,0.00013107526,0.00018146948,0.0001663595,0.00016092611],"domain_scores_gemma":[0.9993866,0.00008148452,0.00016456874,0.0003036635,0.000013145039,0.000050557017],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.000121772064,0.00019799038,0.00027730674,0.000114262184,0.000026440475,0.00003366009,0.00017448928,0.00023572911,0.024172178],"category_scores_gemma":[0.00010607345,0.00014715658,0.000068555,0.00007842123,0.00005153396,0.000032221287,0.000014895376,0.000112360605,0.000809881],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000017239846,0.000018632045,6.4362547e-7,0.00004876471,0.000017204817,0.0000023861255,0.00007932681,2.07768e-8,0.000016706423,0.3893008,0.6100732,0.000440573],"study_design_scores_gemma":[0.000117993644,0.000028427377,0.0000013487754,0.00012129194,0.00002749513,0.000003784512,0.00013440629,0.0000075977478,0.00048584476,0.33149666,0.66731143,0.00026374994],"about_ca_topic_score_codex":0.00001804462,"about_ca_topic_score_gemma":0.00009171491,"teacher_disagreement_score":0.05780414,"about_ca_system_score_codex":0.000016398975,"about_ca_system_score_gemma":0.000027587628,"threshold_uncertainty_score":0.9999681},"labels":[],"label_agreement":null},{"id":"W1504266543","doi":"10.1090/s0002-9939-05-08365-6","title":"Nearly monotone spline approximation in 𝕃_{𝕡}","year":2005,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; Tel Aviv University","keywords":"Monotone polygon; Spline (mechanical); Mathematics; Applied mathematics; Geometry; Physics","score_opus":0.01931399023070196,"score_gpt":0.281181561885321,"score_spread":0.26186757165461905,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1504266543","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97776943,0.00011401094,0.004462942,0.0064320425,0.00004636623,0.001334872,0.000020932508,0.0001086741,0.009710746],"genre_scores_gemma":[0.8696452,0.00010880041,0.12809493,0.0004669321,0.0002157916,0.00009528734,0.0000016504871,0.000073085204,0.001298342],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962826,0.00005454956,0.0014704547,0.0005417808,0.00092429126,0.00072632707],"domain_scores_gemma":[0.9965421,0.00054185314,0.0019995891,0.00040644428,0.00033859498,0.0001714054],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002287397,0.0005114175,0.0012028838,0.00008133537,0.00022806857,0.00013891164,0.0010555997,0.00020762124,0.00020619539],"category_scores_gemma":[0.001246788,0.0003762865,0.00071338174,0.0014410362,0.0017154611,0.0006483712,0.0003968391,0.00075211213,0.00011968427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00021582567,0.0026840107,0.0018685184,0.0043896944,0.00033701045,4.82428e-7,0.060587198,0.000110417706,0.027301686,0.890961,0.004205696,0.0073384983],"study_design_scores_gemma":[0.0010887007,0.00023027597,0.0010230215,0.0011711933,0.00028536335,0.00002495631,0.028639836,0.114365816,0.03399673,0.81814563,0.0002774003,0.00075104734],"about_ca_topic_score_codex":0.000025287918,"about_ca_topic_score_gemma":0.0000020810432,"teacher_disagreement_score":0.123631984,"about_ca_system_score_codex":0.00031542333,"about_ca_system_score_gemma":0.00008625516,"threshold_uncertainty_score":0.9998689},"labels":[],"label_agreement":null},{"id":"W1586590864","doi":"10.3968/j.pam.1925252820130502.1879","title":"On Invariant Statistically Convergence and Lacunary Invariant Statistical Convergence of Sequences of Sets","year":2013,"lang":"en","type":"article","venue":"Progress in applied mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Lacunary function; Invariant (physics); Mathematics; Convergence (economics); Applied mathematics; Pure mathematics; Discrete mathematics","score_opus":0.03264453036144925,"score_gpt":0.30956707089338564,"score_spread":0.2769225405319364,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1586590864","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7835242,0.00013166506,0.20976055,0.00024450873,0.000060025428,0.0017019013,0.00013557951,0.00007343612,0.00436814],"genre_scores_gemma":[0.6243292,0.000028181066,0.3754428,0.00002539695,0.0000041619055,0.00013851782,0.0000044027247,0.000016216274,0.000011119906],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99794924,0.000108469074,0.0009099323,0.00028619746,0.00042059945,0.00032557498],"domain_scores_gemma":[0.99640834,0.0025083849,0.0005069376,0.0003420057,0.00010979681,0.00012451525],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011276242,0.00024096385,0.00059441855,0.00011560309,0.000044178578,0.00002747407,0.00029904683,0.00014744203,0.00071982015],"category_scores_gemma":[0.0007224704,0.00020017063,0.00002898707,0.00019565549,0.0009934274,0.00009956193,0.00010940296,0.00022564874,0.000023736084],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004338371,0.00042225397,0.0004250147,0.0017958947,0.000027693046,0.000011606692,0.0035230936,0.000009352105,0.0022354552,0.989854,0.00015462122,0.0014976733],"study_design_scores_gemma":[0.00036990986,0.00015069902,0.00035054312,0.00028962136,0.00003171237,0.000014830115,0.0014623415,0.017171038,0.012679926,0.9672723,0.0000014560305,0.00020565507],"about_ca_topic_score_codex":0.000011547205,"about_ca_topic_score_gemma":0.0000037598654,"teacher_disagreement_score":0.16568227,"about_ca_system_score_codex":0.000033141238,"about_ca_system_score_gemma":0.000109878136,"threshold_uncertainty_score":0.81627214},"labels":[],"label_agreement":null},{"id":"W1602479051","doi":"10.1090/s0002-9939-05-08089-5","title":"Strong converse inequality for Poisson sums","year":2005,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Converse; Inequality; Poisson distribution; Mathematics; Mathematical economics; Pure mathematics; Statistics; Mathematical analysis; Geometry","score_opus":0.046436137510913494,"score_gpt":0.3334210702427396,"score_spread":0.2869849327318261,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1602479051","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97208434,0.00000891067,0.018894965,0.0035215407,0.000025091498,0.0007810978,0.00002200593,0.000121465135,0.0045406],"genre_scores_gemma":[0.84524566,0.0000048299235,0.15370467,0.00032578796,0.00010128349,0.00007306977,6.5745246e-7,0.00002585806,0.000518199],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986045,0.000015398682,0.000485111,0.00022551134,0.00035412726,0.00031535447],"domain_scores_gemma":[0.99813837,0.00059651566,0.00076121895,0.00018046395,0.0002404964,0.00008290956],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012208575,0.0001891779,0.00048634628,0.000014965463,0.00017248878,0.000034714743,0.0004669988,0.000058082085,0.00007072012],"category_scores_gemma":[0.0011468561,0.000124675,0.00046624048,0.00025894327,0.0007292635,0.00022296768,0.000121588295,0.0001658605,0.000009784186],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000049087845,0.00024734644,0.00046399294,0.00073710736,0.000097519514,1.39875995e-8,0.0061787707,0.0000026181722,0.0063667707,0.97862625,0.006235425,0.0009950851],"study_design_scores_gemma":[0.00041079003,0.0000991033,0.00010724941,0.00009850078,0.00011286006,0.000004088654,0.013871517,0.0065323864,0.030241987,0.94779056,0.00050015067,0.00023082616],"about_ca_topic_score_codex":0.000003721867,"about_ca_topic_score_gemma":3.616716e-7,"teacher_disagreement_score":0.1348097,"about_ca_system_score_codex":0.00008218744,"about_ca_system_score_gemma":0.000026459076,"threshold_uncertainty_score":0.5084099},"labels":[],"label_agreement":null},{"id":"W1604958231","doi":"10.1016/j.jat.2006.03.001","title":"On equivalence of moduli of smoothness of splines in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>1</mml:mn></mml:math>","year":2006,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Degree (music); Combinatorics; Moduli; Quintic function; Piecewise; Partition (number theory); Mathematical analysis; Physics","score_opus":0.021418226296432807,"score_gpt":0.2521521947939173,"score_spread":0.2307339684974845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1604958231","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6661978,0.0022913027,0.0077140136,0.00091733877,0.003560028,0.00016650984,0.0009142336,0.00033482758,0.31790397],"genre_scores_gemma":[0.97841346,0.0020805711,0.01047175,0.0012389233,0.003048093,0.0013953071,0.0012798663,0.0015643167,0.0005077348],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.97829956,0.0018617474,0.006477686,0.003002847,0.006285021,0.004073148],"domain_scores_gemma":[0.9782142,0.004926663,0.010272228,0.0038368867,0.00093349844,0.0018165187],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.0091181705,0.002016597,0.001169576,0.0021206364,0.0023752328,0.0019972234,0.0051252097,0.004864646,0.28721416],"category_scores_gemma":[0.005216669,0.003745693,0.0041954895,0.0031569814,0.0045072343,0.003916748,0.002858767,0.0037945302,0.001371716],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0073218658,0.0013738482,0.000021444646,0.0049481154,0.0029507703,0.0012231853,0.0051867375,0.009987071,0.012053906,0.78339326,0.16862643,0.0029133693],"study_design_scores_gemma":[0.0055336854,0.0037117647,0.00008300858,0.0049621654,0.003172392,0.0029861147,0.0065645245,0.029965913,0.9161748,0.02273334,0.0010632266,0.0030490446],"about_ca_topic_score_codex":0.001486104,"about_ca_topic_score_gemma":0.0011029978,"teacher_disagreement_score":0.9041209,"about_ca_system_score_codex":0.00006776105,"about_ca_system_score_gemma":0.00344581,"threshold_uncertainty_score":0.99940586},"labels":[],"label_agreement":null},{"id":"W164930789","doi":"10.1007/978-1-4614-6660-4_12","title":"Polynomial Approximation on the Unit Ball","year":2013,"lang":"en","type":"book-chapter","venue":"Springer monographs in mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Unit sphere; Ball (mathematics); Mathematics; Mathematical analysis; Smoothness; Polynomial; Boundary (topology); Unit (ring theory); Geometry","score_opus":0.07469471283774491,"score_gpt":0.27986736694177633,"score_spread":0.2051726541040314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W164930789","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011692963,0.00012295939,0.0018366721,0.0006480442,0.00031416965,0.0024010576,0.000039336595,0.00029222073,0.9826526],"genre_scores_gemma":[0.046834175,0.00064353616,0.114455804,0.0008138491,0.00086259394,0.0008358545,0.00010382835,0.00088489876,0.83456546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971475,0.00009237466,0.0011034677,0.00049969775,0.00068750285,0.00046943873],"domain_scores_gemma":[0.9960243,0.0014870872,0.00091719604,0.0013403178,0.00012724768,0.00010384275],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0014214258,0.0007329943,0.0007929392,0.0005765566,0.0002095318,0.00017527542,0.00086190284,0.0006131644,0.002013317],"category_scores_gemma":[0.00036827443,0.0005252404,0.0003705607,0.00016689296,0.0003661944,0.00018547446,0.00016272283,0.0011091003,0.0009018393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013218423,0.00011030825,0.0000055747323,0.00035175486,0.00009577223,0.0000057036796,0.0021728992,0.000008933156,0.00002197122,0.98838055,0.008158423,0.0006748736],"study_design_scores_gemma":[0.00024206788,0.000062992985,0.0000061613564,0.000931667,0.00008521219,0.0000073963693,0.0006407338,0.001288201,0.00025276377,0.9853571,0.01052666,0.0005990673],"about_ca_topic_score_codex":0.0000041068056,"about_ca_topic_score_gemma":0.000013882122,"teacher_disagreement_score":0.14808711,"about_ca_system_score_codex":0.000099976256,"about_ca_system_score_gemma":0.000059151855,"threshold_uncertainty_score":0.9998761},"labels":[],"label_agreement":null},{"id":"W1871633771","doi":"10.1016/j.jmaa.2015.10.063","title":"Uniform polynomial approximation with A⁎ weights having finitely many zeros","year":2015,"lang":"en","type":"preprint","venue":"Journal of Mathematical Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Inverse; Polynomial function theorems for zeros; Equivalence (formal languages); Norm (philosophy); Polynomial; Uniform norm; Realization (probability); Pure mathematics; Discrete mathematics; Mathematical analysis; Alternating polynomial; Matrix polynomial","score_opus":0.044619060721586425,"score_gpt":0.3103011240895841,"score_spread":0.26568206336799766,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1871633771","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17746139,0.00011058569,0.81922597,0.00045600507,0.00001920949,0.0005665999,0.000038085156,0.00003991445,0.0020822196],"genre_scores_gemma":[0.6793729,0.000100823214,0.31898317,0.000047977057,0.0004837369,0.00016401746,0.000055588112,0.000054660937,0.00073712674],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.997354,0.000119822485,0.0013081491,0.00031650526,0.0006770509,0.00022449523],"domain_scores_gemma":[0.99594903,0.0005614301,0.0019764556,0.00054890296,0.00068480015,0.00027936304],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016512462,0.00035365118,0.0011805928,0.000578279,0.00019260269,0.00023409147,0.0004362638,0.000273332,0.0001218325],"category_scores_gemma":[0.00014781991,0.00023249022,0.00040964864,0.00061718654,0.00021861418,0.00023180025,0.00018464641,0.0006655033,0.000012658661],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020759602,0.0013698017,0.00028728062,0.0018826212,0.004995834,0.000011424747,0.0060726665,0.0010915197,0.00022745357,0.9760024,0.0011544814,0.0066969506],"study_design_scores_gemma":[0.00039924815,0.00010373828,0.00007458496,0.00028336435,0.0048296712,0.00007832074,0.00166434,0.01557878,0.00041223512,0.97591305,0.00030378113,0.0003589019],"about_ca_topic_score_codex":0.0000067515894,"about_ca_topic_score_gemma":0.00000910663,"teacher_disagreement_score":0.5019115,"about_ca_system_score_codex":0.000097805096,"about_ca_system_score_gemma":0.00017527417,"threshold_uncertainty_score":0.9480676},"labels":[],"label_agreement":null},{"id":"W1883297241","doi":"10.3968/j.pam.1925252820130501.3333","title":"Strongly Lacunary Summable Generalized Difference Double Sequence Spaces in n-Normed Spaces Defined by Ideal Convergence and an Orlicz Function","year":2013,"lang":"en","type":"article","venue":"Progress in applied mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Lacunary function; Mathematics; Sequence (biology); Ideal (ethics); Convergence (economics); Pure mathematics; Sequence space; Function (biology); Modes of convergence (annotated index); Space (punctuation); Discrete mathematics; Topological space; Banach space; Computer science; Topological vector space","score_opus":0.04723769889950479,"score_gpt":0.31075947811391275,"score_spread":0.26352177921440795,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1883297241","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.989657,0.0004316431,0.0061118985,0.0002448092,0.000072726325,0.0016843342,0.000013586823,0.00020311617,0.0015808855],"genre_scores_gemma":[0.8580923,0.00010656772,0.140256,0.000032967007,0.000028818042,0.0010795876,0.000034837438,0.000051064326,0.0003178812],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99744105,0.00010784104,0.0007761569,0.00058218976,0.0004531124,0.00063965534],"domain_scores_gemma":[0.998367,0.00040633624,0.00045183953,0.0005128899,0.00007976862,0.0001821582],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00093548984,0.00045023178,0.0006620648,0.00020252918,0.0001418434,0.00029009773,0.00040595568,0.00025307172,0.00020587484],"category_scores_gemma":[0.00007889368,0.0003903632,0.000040158175,0.0004369453,0.00046010825,0.0005273421,0.0001448638,0.00036345044,0.000036640526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024781737,0.0010147494,0.011097367,0.0013323806,0.000046427995,0.000009163819,0.006003434,0.000048356982,0.0096234465,0.96496433,0.00039914707,0.005213358],"study_design_scores_gemma":[0.0029555035,0.00019954152,0.00069589814,0.0002816265,0.00005454018,0.000015475533,0.0064117475,0.047356457,0.008340347,0.93275505,0.000074341704,0.0008594828],"about_ca_topic_score_codex":0.00009380434,"about_ca_topic_score_gemma":0.00015975727,"teacher_disagreement_score":0.1341441,"about_ca_system_score_codex":0.000093614115,"about_ca_system_score_gemma":0.00006166209,"threshold_uncertainty_score":0.9998548},"labels":[],"label_agreement":null},{"id":"W1899570685","doi":"10.2298/fil1706573s","title":"Lacunary statistical convergence and strongly lacunary summable functions of order α","year":2017,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":52,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Lacunary function; Mathematics; Order (exchange); Convergence (economics); Pure mathematics","score_opus":0.054008987946712106,"score_gpt":0.33473409351816463,"score_spread":0.2807251055714525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1899570685","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9242956,0.00005961701,0.044860955,0.00060434843,0.00025012187,0.00029185854,0.00033114408,0.00008832575,0.029218039],"genre_scores_gemma":[0.97183335,0.000014849855,0.023961924,0.000016866992,0.000031032956,0.000013859093,0.000016616867,0.00001252584,0.0040989714],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993017,0.00006410659,0.00019484594,0.00015597328,0.00013670372,0.00014672564],"domain_scores_gemma":[0.99894047,0.0003357262,0.00017645383,0.00040278552,0.000080541904,0.00006403765],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00029447503,0.0000999703,0.00018865967,0.000029434457,0.0002922725,0.00004089977,0.00016063095,0.00007072642,0.0017212189],"category_scores_gemma":[0.0007244079,0.00008614059,0.00002289411,0.00003223736,0.00037257173,0.00028118744,0.00009230992,0.00010005886,0.000057989753],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011134795,0.00014519214,0.0070186164,0.0003457067,0.00007486295,0.00002111688,0.0008479848,0.00001051564,0.0015171845,0.96495944,0.023894196,0.0010538194],"study_design_scores_gemma":[0.0010397151,0.00029882658,0.029923955,0.00014117184,0.00013672568,0.000053817286,0.00198964,0.0063687423,0.0034488286,0.95293885,0.0032063273,0.00045342188],"about_ca_topic_score_codex":0.000022020178,"about_ca_topic_score_gemma":0.000015581809,"teacher_disagreement_score":0.047537763,"about_ca_system_score_codex":0.000008018812,"about_ca_system_score_gemma":0.00003244495,"threshold_uncertainty_score":0.99919134},"labels":[],"label_agreement":null},{"id":"W192551874","doi":"10.5556/j.tkjm.35.2004.209","title":"The modulus of operators on group algebras","year":2004,"lang":"en","type":"article","venue":"Tamkang Journal of Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Alberta","keywords":"Mathematics; Modulus; Group (periodic table); Dual (grammatical number); Pure mathematics; Modulus of continuity; Algebra over a field; Type (biology); Geometry; Chemistry","score_opus":0.03176882244677288,"score_gpt":0.29471697269230734,"score_spread":0.2629481502455345,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W192551874","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9586286,0.00019316937,0.037532393,0.00076821604,0.0002645118,0.00019443338,0.0000032617122,0.000022145357,0.0023932515],"genre_scores_gemma":[0.93611217,0.000083419596,0.063387446,0.000061769766,0.00010803541,0.0000030826654,2.8578464e-7,0.000027643968,0.00021614783],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99834895,0.00007874152,0.00080714485,0.00007116562,0.0005161062,0.00017789044],"domain_scores_gemma":[0.9977576,0.00068850635,0.00095145387,0.00031389957,0.00021394061,0.000074570235],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017486262,0.00014849556,0.00035281625,0.000091661175,0.00015506186,0.000040855182,0.00043780694,0.00007081646,0.000033928172],"category_scores_gemma":[0.0011064208,0.00008465925,0.00017111366,0.0001696715,0.0001701736,0.00015858695,0.000031611347,0.0002489355,0.000016718126],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032608597,0.0003070233,0.0000065637223,0.000114861374,0.00007979914,0.000011387941,0.0031033705,0.00019709855,0.0016854658,0.99349606,0.00038271,0.00058303133],"study_design_scores_gemma":[0.00057287974,0.00034135405,0.000007558293,0.00038271674,0.00005837351,0.000118022945,0.004225028,0.000118290875,0.028225655,0.96568155,0.00016655732,0.00010198902],"about_ca_topic_score_codex":0.0000011028532,"about_ca_topic_score_gemma":0.0000027147141,"teacher_disagreement_score":0.027814504,"about_ca_system_score_codex":0.000060472874,"about_ca_system_score_gemma":0.00007187467,"threshold_uncertainty_score":0.34523043},"labels":[],"label_agreement":null},{"id":"W1966375810","doi":"10.4153/cmb-2011-124-3","title":"Almost Everywhere Convergence of Convolution Measures","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Almost everywhere; Mathematics; Invertible matrix; Sequence (biology); Convergence (economics); Convolution (computer science); Dominated convergence theorem; Probability measure; Measure (data warehouse); Transformation (genetics); Space (punctuation); Convergence tests; Discrete mathematics; Pure mathematics; Rate of convergence; Key (lock); Computer science","score_opus":0.10648281666496373,"score_gpt":0.2628650018140753,"score_spread":0.15638218514911156,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966375810","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.54557943,0.00024373674,0.05542576,0.0019273501,0.00028427353,0.0012084737,0.0000929644,0.00022350214,0.3950145],"genre_scores_gemma":[0.9833746,0.000006799339,0.013744569,0.00015014086,0.00002468213,0.000026088295,0.000002828668,0.000023107512,0.0026471743],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986916,0.0001138699,0.00043317978,0.00019391096,0.0002329173,0.00033452254],"domain_scores_gemma":[0.99873215,0.00024389208,0.00015655189,0.00035442653,0.00016261076,0.00035035846],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006899849,0.00016337022,0.00030784888,0.00010136567,0.00009550882,0.00001060738,0.00028105086,0.00013613125,0.04139877],"category_scores_gemma":[0.0011839264,0.00014602505,0.00009045461,0.00013829271,0.0003029089,0.00005230186,0.00002099401,0.00013129144,0.0030780588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015198619,0.000057275243,0.00014538819,0.00020011603,0.000029432967,0.000013355361,0.0020699943,2.9076256e-7,0.0002231276,0.9884669,0.008565608,0.0002132971],"study_design_scores_gemma":[0.00018488095,0.000055991182,0.00012662524,0.0001480086,0.000042494412,0.00002991586,0.001331195,0.00011680556,0.0065546026,0.98561233,0.005559984,0.00023716505],"about_ca_topic_score_codex":0.00080407725,"about_ca_topic_score_gemma":0.0006394859,"teacher_disagreement_score":0.4377952,"about_ca_system_score_codex":0.000077419354,"about_ca_system_score_gemma":0.00017651886,"threshold_uncertainty_score":0.9976982},"labels":[],"label_agreement":null},{"id":"W1966716938","doi":"10.4153/cmb-2009-061-6","title":"On <i>L</i><sup>1</sup>-Convergence of Fourier Series under the MVBV Condition","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; St. Francis Xavier University; National Science Foundation","keywords":"Mathematics; Fourier series; Monotone polygon; Sequence (biology); Series (stratigraphy); Generalization; Bounded function; Function (biology); Space (punctuation); Convergence (economics); Fourier transform; Function series; Combinatorics; Monotonic function; Mathematical analysis; Geometry","score_opus":0.020816274810353003,"score_gpt":0.26191456435388294,"score_spread":0.24109828954352994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1966716938","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7517715,0.000062915955,0.020771446,0.08293378,0.00011991273,0.0013841834,0.000115980656,0.00018460356,0.14265567],"genre_scores_gemma":[0.9881352,0.000004741081,0.0035221998,0.003089127,0.000055816497,0.000026543024,0.000008357049,0.00002104152,0.0051369453],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99853206,0.00014711886,0.00042063463,0.00021391425,0.0003161673,0.00037011039],"domain_scores_gemma":[0.9982502,0.000742336,0.00014453124,0.0005052006,0.00009723423,0.0002605193],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006799003,0.00020632384,0.0003027142,0.000094001116,0.00022400652,0.000043411434,0.0003316631,0.00013211549,0.017710857],"category_scores_gemma":[0.0008549111,0.00014500746,0.00011123409,0.00017391767,0.00032658342,0.00007207157,0.000013112215,0.00021995396,0.0022575706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017558494,0.000045979716,0.0000013291229,0.000056796653,0.00001686068,0.000007929368,0.0008720957,0.00010141366,0.000047241712,0.97264075,0.026061345,0.0001307122],"study_design_scores_gemma":[0.0001583653,0.00012202252,0.00001653231,0.00011821095,0.000029866467,0.000031181648,0.0016654191,0.00059738907,0.0014018003,0.9906924,0.0049893293,0.00017749236],"about_ca_topic_score_codex":0.00004970264,"about_ca_topic_score_gemma":0.00008129446,"teacher_disagreement_score":0.23636372,"about_ca_system_score_codex":0.00008198591,"about_ca_system_score_gemma":0.00013225588,"threshold_uncertainty_score":0.9985193},"labels":[],"label_agreement":null},{"id":"W1968242978","doi":"10.4153/cmb-2007-042-8","title":"MKZ Type Operators Providing a Better Estimation on [1/2, 1)","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":30,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Modulus of continuity; Generalization; Lipschitz continuity; Type (biology); Class (philosophy); Order (exchange); Interval (graph theory); Pure mathematics; Modulus; Applied mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Artificial intelligence; Geometry","score_opus":0.033810860289672444,"score_gpt":0.29621034956617576,"score_spread":0.2623994892765033,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1968242978","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81117874,0.000020690646,0.053433456,0.010486468,0.00022741185,0.0010251846,0.000012235335,0.00026953654,0.12334627],"genre_scores_gemma":[0.94964045,7.672817e-7,0.044481564,0.0023753291,0.00012353044,0.000023094935,0.000009351918,0.000051278003,0.0032946554],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998442,0.000069299196,0.00041482353,0.0002670187,0.00027782758,0.00052905595],"domain_scores_gemma":[0.998291,0.00068330177,0.00009270203,0.0003491856,0.00009374065,0.0004900619],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0014156918,0.00021587797,0.00025647582,0.00022033183,0.0002311959,0.00008912334,0.00022234888,0.00016329886,0.008500795],"category_scores_gemma":[0.0021925066,0.00018496998,0.00006447708,0.00024198233,0.00010602511,0.00006336749,0.000018498107,0.00024667446,0.009762486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023842134,0.000055646884,0.00002431401,0.00013098898,0.000019349784,0.00005689888,0.0008904865,0.000010610934,0.0001541331,0.980617,0.015261627,0.0027551204],"study_design_scores_gemma":[0.0003347739,0.00015424196,0.000034605222,0.00028732404,0.000037293048,0.000048277725,0.00071626855,0.0015958372,0.005180987,0.9665058,0.024615802,0.00048876466],"about_ca_topic_score_codex":0.000078054436,"about_ca_topic_score_gemma":0.0002505483,"teacher_disagreement_score":0.13846168,"about_ca_system_score_codex":0.00023562643,"about_ca_system_score_gemma":0.00013086956,"threshold_uncertainty_score":0.9924056},"labels":[],"label_agreement":null},{"id":"W1971624257","doi":"10.3846/1392-6292.2009.14.391-397","title":"NEW TYPE OF DIFFERENCE SEQUENCE SPACES OF FUZZY REAL NUMBERS","year":2009,"lang":"en","type":"article","venue":"Mathematical Modelling and Analysis","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Sequence (biology); Type (biology); Completeness (order theory); Operator (biology); Discrete mathematics; Combinatorics; Integer (computer science); Pure mathematics; Convergence (economics); Limit of a sequence; Mathematical analysis; Computer science; Limit (mathematics)","score_opus":0.09363187217709658,"score_gpt":0.33858220287713675,"score_spread":0.2449503307000402,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1971624257","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5129003,0.000041034917,0.48372725,0.00009217915,0.0000043439836,0.000048956455,0.0000031309871,0.000023856463,0.0031589475],"genre_scores_gemma":[0.84609383,0.00007182113,0.15309903,0.00000787596,0.000010197141,7.0029773e-7,0.000002557417,0.0000052273163,0.0007087785],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889904,0.000052658106,0.00045386594,0.00018909492,0.0002567118,0.00014860996],"domain_scores_gemma":[0.9989281,0.00035466286,0.00025285888,0.00027135466,0.00009605339,0.000096913434],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036022204,0.00013877664,0.0005919005,0.00014054588,0.000043618827,0.000020129391,0.00014300262,0.00007796159,0.00007968515],"category_scores_gemma":[0.00013101997,0.000105849744,0.00014522657,0.0005887901,0.00010645974,0.000070697366,0.000017069782,0.00008314383,0.0000026925043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002998228,0.00009927087,0.00032324306,0.00019647082,0.00023862228,0.0000012400194,0.00274691,0.0042161928,0.0019357608,0.98894554,0.000012798074,0.0012539808],"study_design_scores_gemma":[0.000074479285,0.00005739117,0.000028994538,0.000078669065,0.0005156461,0.0000013546812,0.0003234041,0.1638631,0.0018537896,0.8331057,6.4121923e-7,0.00009683717],"about_ca_topic_score_codex":0.000043250307,"about_ca_topic_score_gemma":0.0000026382627,"teacher_disagreement_score":0.3331935,"about_ca_system_score_codex":0.000008331101,"about_ca_system_score_gemma":0.000027057291,"threshold_uncertainty_score":0.43164274},"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,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_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","score_opus":0.030402045650598414,"score_gpt":0.27116163970719426,"score_spread":0.24075959405659583,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1972106510","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74982876,0.00011701765,0.17938317,0.0029080994,0.0004187974,0.0007257552,0.000021638682,0.00007426073,0.06652251],"genre_scores_gemma":[0.9903572,0.000008907752,0.007301475,0.00014910524,0.00031685302,0.000020328078,0.000007920067,0.000032877928,0.0018053101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971403,0.00068491604,0.0010402439,0.00016896926,0.00075940264,0.00020618043],"domain_scores_gemma":[0.9950224,0.0022260295,0.0018543701,0.00042327848,0.00042013597,0.00005374699],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003912041,0.0002403042,0.00040647003,0.00027019426,0.00024355885,0.00007451191,0.000367995,0.00013456636,0.0005215134],"category_scores_gemma":[0.0011177344,0.00014821163,0.00026792107,0.00040560568,0.00023310099,0.00040432072,0.000022680202,0.00040514002,0.000046132798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00036693853,0.0004081537,0.000032741158,0.000093695046,0.000067028916,0.0000018793211,0.00078099716,0.0012088274,0.0020906245,0.9876889,0.0054316153,0.0018285741],"study_design_scores_gemma":[0.00052152615,0.00038640868,0.00014872491,0.00021680791,0.00008622413,0.00003100707,0.0046138195,0.0010406313,0.029001785,0.9630916,0.0007000909,0.00016134922],"about_ca_topic_score_codex":0.000002950285,"about_ca_topic_score_gemma":0.000002687847,"teacher_disagreement_score":0.24052848,"about_ca_system_score_codex":0.00009437894,"about_ca_system_score_gemma":0.00008354736,"threshold_uncertainty_score":0.60438955},"labels":[],"label_agreement":null},{"id":"W1974400132","doi":"10.1016/j.aml.2004.08.014","title":"Rate of convergence for the Bézier variant of the Bleimann–Butzer–Hahn operators","year":2005,"lang":"en","type":"article","venue":"Applied Mathematics Letters","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Rate of convergence; Convergence (economics); Bézier curve; Applied mathematics; Bounded function; Bounded variation; Variation (astronomy); Pure mathematics; Mathematical analysis; Geometry; Computer science","score_opus":0.028239455550100975,"score_gpt":0.26735388923381187,"score_spread":0.23911443368371088,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1974400132","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46503642,0.000054247837,0.51777846,0.01109224,0.00026257208,0.0027854037,0.000055389795,0.00007244304,0.0028628488],"genre_scores_gemma":[0.87954605,0.000014054893,0.11821126,0.0015516509,0.000093950046,0.0002337879,0.0000020448401,0.000045116045,0.00030209325],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99859625,0.00004694063,0.0006631833,0.00018739572,0.00025680388,0.00024942498],"domain_scores_gemma":[0.9968377,0.0016878746,0.00058963,0.0007565404,0.00009264962,0.000035642955],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001394408,0.00020870546,0.0003727551,0.000041300842,0.00018704221,0.000021529453,0.00069904904,0.00007403925,0.00011357554],"category_scores_gemma":[0.0002830674,0.000116173556,0.0001705668,0.00021840182,0.00038915753,0.000085527696,0.00009437205,0.00014270924,0.000014136243],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020571919,0.00010313864,0.000004296132,0.00038070095,0.00011011937,1.9867326e-7,0.004320238,0.0005718371,0.096223556,0.89454013,0.0035455488,0.00017966525],"study_design_scores_gemma":[0.00092601567,0.00003172401,0.000019529922,0.0001525811,0.00036368385,0.0000105486715,0.0034894717,0.0128686335,0.5137191,0.46586552,0.0021863384,0.0003669049],"about_ca_topic_score_codex":0.0000029492485,"about_ca_topic_score_gemma":0.000003898341,"teacher_disagreement_score":0.4286746,"about_ca_system_score_codex":0.000027269554,"about_ca_system_score_gemma":0.00004452626,"threshold_uncertainty_score":0.47374204},"labels":[],"label_agreement":null},{"id":"W1982162536","doi":"10.4064/ap85-3-7","title":"Approximation by weighted polynomials in R<sup>k</sup>","year":2005,"lang":"en","type":"article","venue":"Annales Polonici Mathematici","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Degree (music); Polynomial; Function (biology); Discrete mathematics; Mathematical analysis; Physics","score_opus":0.03727056771355191,"score_gpt":0.3119276111915934,"score_spread":0.2746570434780415,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1982162536","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9697764,0.0005887729,0.00878708,0.0056661526,0.000035200363,0.00091107906,0.00003841443,0.000320168,0.013876731],"genre_scores_gemma":[0.9607846,0.000059800008,0.034493145,0.00053096015,0.00014758395,0.00014954522,0.00004306864,0.00006718192,0.0037240766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973591,0.00024940405,0.0009890316,0.00040469557,0.00040562337,0.00059214636],"domain_scores_gemma":[0.99814105,0.0006691634,0.00041499722,0.0005702095,0.00007725487,0.00012732093],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0013155943,0.00037055014,0.00061727694,0.00026451846,0.00015328247,0.00008359295,0.00044381144,0.00022634506,0.0007232274],"category_scores_gemma":[0.00048143574,0.00032691832,0.00014789814,0.00039809637,0.00017463315,0.0006164193,0.00007250977,0.0002798251,0.0005946459],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011608408,0.0014902179,0.00017488128,0.0007217147,0.00012883657,0.000014380796,0.027232675,0.00025475002,0.0034927265,0.9023104,0.057657503,0.0064058863],"study_design_scores_gemma":[0.0013559605,0.00012380542,0.000023372926,0.00037984797,0.00007166078,0.00007143477,0.003585863,0.0702004,0.027749464,0.88712645,0.008496241,0.00081553246],"about_ca_topic_score_codex":0.000017154793,"about_ca_topic_score_gemma":0.000024771183,"teacher_disagreement_score":0.06994565,"about_ca_system_score_codex":0.00013991313,"about_ca_system_score_gemma":0.000063316606,"threshold_uncertainty_score":0.9999183},"labels":[],"label_agreement":null},{"id":"W1983204612","doi":"10.1007/s00365-001-0007-7","title":"Lower Estimates for Centered Bernstein-Type Operators","year":2001,"lang":"en","type":"article","venue":"Constructive Approximation","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Converse; Smoothness; Type (biology); Moduli; Probabilistic logic; Bernstein polynomial; Applied mathematics; Bernstein inequalities; Operator theory; Mathematical analysis; Pure mathematics; Inequality; Geometry; Statistics","score_opus":0.05100740108559923,"score_gpt":0.3188232420247076,"score_spread":0.2678158409391084,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983204612","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.731643,0.000052590334,0.26005334,0.00020596979,0.0004861571,0.0011756166,0.00002583319,0.00022691113,0.0061305845],"genre_scores_gemma":[0.86197287,0.000008197004,0.13726449,0.000068785055,0.00011592386,0.00011443705,0.000057317833,0.000035215508,0.00036274316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987745,0.00006574864,0.00036676147,0.0003255455,0.00018479321,0.0002826393],"domain_scores_gemma":[0.9986357,0.00039029997,0.00022827559,0.00028220649,0.00038583478,0.00007768867],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036705335,0.00022334495,0.00028589758,0.000108231216,0.00024856903,0.00008458108,0.0001770569,0.00012052188,0.0002272683],"category_scores_gemma":[0.0008830422,0.00020199979,0.000091366586,0.00026837434,0.00022205018,0.0005456405,0.000034549972,0.000100459125,0.000037711412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030457496,0.00012414457,0.002006516,0.00012457675,0.00009075518,0.000003523325,0.0011342012,0.000021335496,0.0057004145,0.98197544,0.00047054852,0.008043997],"study_design_scores_gemma":[0.0011202324,0.00017200309,0.00015642912,0.00008637284,0.00007925285,0.000075471,0.0017118648,0.010588328,0.02694342,0.9577145,0.0009774689,0.0003746757],"about_ca_topic_score_codex":0.0000025137588,"about_ca_topic_score_gemma":0.0000029251646,"teacher_disagreement_score":0.13032989,"about_ca_system_score_codex":0.00008306327,"about_ca_system_score_gemma":0.000055360557,"threshold_uncertainty_score":0.82373124},"labels":[],"label_agreement":null},{"id":"W1983931953","doi":"10.5539/jmr.v7n1p37","title":"On Statistical Convergence in Metric Spaces","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Metric space; Equivalence (formal languages); Modes of convergence (annotated index); Metric (unit); Convergence (economics); Compact convergence; Convex metric space; Normal convergence; Convergence tests; Uniform convergence; Pure mathematics; Discrete mathematics; Rate of convergence; Topological space; Topological vector space; Computer science","score_opus":0.3656721861797091,"score_gpt":0.5038198201770303,"score_spread":0.13814763399732122,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1983931953","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.93355185,0.00014053039,0.052545622,0.0007905679,0.00020335276,0.0003127223,0.0000047525823,0.000015482663,0.012435109],"genre_scores_gemma":[0.9230843,0.000038765964,0.07615344,0.000015634887,0.000067758185,0.000005553581,3.429265e-7,0.000018780242,0.0006154243],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9965204,0.00054048875,0.0007058291,0.000117530384,0.0017841548,0.00033157266],"domain_scores_gemma":[0.99279445,0.005651254,0.00031137423,0.00024754848,0.00074729184,0.0002480799],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.013198413,0.000113523085,0.00038507054,0.0009101046,0.000053524804,0.00007944503,0.00044017308,0.00008575396,0.00025015074],"category_scores_gemma":[0.016295414,0.00008109713,0.00005451565,0.000812352,0.0001967208,0.00020426937,0.000065863795,0.00073029596,0.00013048603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000089092566,0.0006126466,0.00011018965,0.00018156554,0.000022489688,0.00014798321,0.004603476,0.00008281705,0.00012647691,0.98409617,0.009657169,0.0002699295],"study_design_scores_gemma":[0.000557967,0.0004918222,0.000029711713,0.00018201956,0.0000074689424,0.00007833701,0.009407935,0.0025412263,0.0009633609,0.9854609,0.00019414461,0.000085110754],"about_ca_topic_score_codex":0.000007911903,"about_ca_topic_score_gemma":0.000007954256,"teacher_disagreement_score":0.023607822,"about_ca_system_score_codex":0.00019613761,"about_ca_system_score_gemma":0.00031280523,"threshold_uncertainty_score":0.99199075},"labels":[],"label_agreement":null},{"id":"W1984348230","doi":"10.1016/j.aim.2010.01.001","title":"Moduli of smoothness and approximation on the unit sphere and the unit ball","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":44,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Unit sphere; Mathematics; Moduli; Ball (mathematics); Smoothness; Mathematical analysis; Euler's formula; Equivalence (formal languages); Inverse; Pure mathematics; Geometry; Physics","score_opus":0.028767240288340455,"score_gpt":0.3054138545514082,"score_spread":0.27664661426306775,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984348230","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9693142,0.0002801432,0.010593002,0.00096878054,0.00008700444,0.00078302686,0.00000717192,0.00003694046,0.017929707],"genre_scores_gemma":[0.96720064,0.000289373,0.03195752,0.00007576363,0.000028462598,0.00006652047,0.0000015760215,0.000021588825,0.00035856257],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989313,0.00014226438,0.00039243037,0.00015190658,0.00023265276,0.00014945869],"domain_scores_gemma":[0.99610007,0.0030387072,0.0003299569,0.000435063,0.00006734267,0.000028887636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015412334,0.00016657785,0.00029451842,0.00004518515,0.00013878921,0.000038979382,0.0002668254,0.00008176149,0.00008070929],"category_scores_gemma":[0.0012676741,0.00008747379,0.000031794356,0.00020055732,0.0007975056,0.00026045216,0.000067507004,0.0003157943,0.0000038114233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029656603,0.00006783059,0.00014636868,0.00035046405,0.000009296422,4.711581e-7,0.0045922045,0.000036079007,0.00019019993,0.99208546,0.0000068689556,0.0024850746],"study_design_scores_gemma":[0.00054825825,0.000023635244,0.00008093525,0.00013942884,0.000022542601,0.000009938208,0.006216433,0.013016171,0.0014466988,0.9780839,0.00030318828,0.00010887967],"about_ca_topic_score_codex":0.0000031710988,"about_ca_topic_score_gemma":0.000071054674,"teacher_disagreement_score":0.021364518,"about_ca_system_score_codex":0.000004810673,"about_ca_system_score_gemma":0.000015038442,"threshold_uncertainty_score":0.35670775},"labels":[],"label_agreement":null},{"id":"W1984636682","doi":"10.1017/s0004972700034316","title":"Approximation by functions with bounded derivative on Banach spaces","year":2004,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":24,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Bounded function; Banach space; Separable space; Norm (philosophy); Derivative (finance); Pure mathematics; Uniform continuity; Bounded inverse theorem; Approximation property; Discrete mathematics; Bounded operator; Mathematical analysis","score_opus":0.03104541416700255,"score_gpt":0.27221727593608874,"score_spread":0.2411718617690862,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1984636682","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7702087,0.000014563797,0.14484091,0.057159364,0.000114493094,0.002119336,0.00009475696,0.00031981096,0.025128044],"genre_scores_gemma":[0.88129634,0.0000026382247,0.103073746,0.00040451784,0.000047081212,0.000098723875,0.000010828459,0.00004547098,0.015020631],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983862,0.00010675529,0.00040159284,0.0002685548,0.0005406044,0.00029631166],"domain_scores_gemma":[0.9985529,0.0003900197,0.0003683515,0.000501014,0.00010086087,0.00008683167],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00054333144,0.0002562541,0.00034085632,0.000017357732,0.00032635522,0.000062944644,0.00036210258,0.00015282925,0.0008806143],"category_scores_gemma":[0.00034007814,0.00015270647,0.00026054133,0.00023957538,0.0006113865,0.0000582137,0.000053436124,0.00029616602,0.00012836306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060804752,0.00075553585,0.000049086055,0.0004930484,0.00020674107,4.944614e-7,0.00489897,0.00017369779,0.001574809,0.90553755,0.08619764,0.00005162873],"study_design_scores_gemma":[0.0010529424,0.00024206996,0.000070307426,0.00047684036,0.00012931065,0.000016461328,0.007831423,0.00004570016,0.041971393,0.9433051,0.004533062,0.000325405],"about_ca_topic_score_codex":0.000013838038,"about_ca_topic_score_gemma":9.726898e-7,"teacher_disagreement_score":0.11108765,"about_ca_system_score_codex":0.00012740794,"about_ca_system_score_gemma":0.000048388087,"threshold_uncertainty_score":0.96421087},"labels":[],"label_agreement":null},{"id":"W1987853667","doi":"10.2298/pim1410169k","title":"New moduli of smoothness","year":2014,"lang":"en","type":"preprint","venue":"Publications de l Institut Mathematique","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Moduli; Smoothness; Omega; Combinatorics; Mathematics; Physics; Delta; Mathematical physics; Mathematical analysis; Quantum mechanics","score_opus":0.07093757832155294,"score_gpt":0.34443405827528795,"score_spread":0.273496479953735,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1987853667","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.024599787,0.000069914095,0.9027671,0.003053178,0.00018681516,0.001003615,0.000054939617,0.00044939213,0.06781523],"genre_scores_gemma":[0.41219857,0.000059073525,0.5785306,0.00016000493,0.00029000238,0.000730241,0.00012232292,0.00008650158,0.007822669],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976336,0.00020606308,0.0009709153,0.0004857164,0.00036961216,0.00033412775],"domain_scores_gemma":[0.9958686,0.000557051,0.0011515277,0.0017441037,0.00045872055,0.00021998573],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0014479943,0.00039094986,0.0007366246,0.00041577432,0.00013168955,0.00015313935,0.0012211978,0.0005922759,0.0005606227],"category_scores_gemma":[0.0026708592,0.00037454677,0.00025686223,0.00036426113,0.00020479638,0.00030806378,0.00044781095,0.00065728714,0.00005558399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004952499,0.00014957953,0.000044225533,0.0013749162,0.00007733196,3.906161e-7,0.0024770577,0.0004087306,0.00017905749,0.9854139,0.008932937,0.0009369306],"study_design_scores_gemma":[0.0001736641,0.000012803167,0.00004788507,0.0003938929,0.00008352622,0.000019591194,0.00013381075,0.0045433,0.0041257404,0.98413706,0.005983141,0.00034561506],"about_ca_topic_score_codex":0.00006941081,"about_ca_topic_score_gemma":0.000040530784,"teacher_disagreement_score":0.38759878,"about_ca_system_score_codex":0.00015642167,"about_ca_system_score_gemma":0.0011734463,"threshold_uncertainty_score":0.99987066},"labels":[],"label_agreement":null},{"id":"W1988767799","doi":"10.1007/s10474-006-0010-3","title":"Coconvex approximation in the uniform norm: the final frontier","year":2006,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Convexity; Norm (philosophy); Moduli; Smoothness; Uniform norm; Algebraic number; Pure mathematics; Discrete mathematics; Applied mathematics; Mathematical analysis","score_opus":0.04592756537915125,"score_gpt":0.2994756761210314,"score_spread":0.2535481107418801,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988767799","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6970233,0.00026341356,0.08559012,0.05298368,0.0006923016,0.0050076167,0.00004142144,0.00050285255,0.15789531],"genre_scores_gemma":[0.9762782,0.000012559562,0.016744781,0.00072263327,0.00020308346,0.00029474654,0.000025005236,0.000041477724,0.005677538],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961825,0.00046548896,0.0009792608,0.0004860238,0.0011532037,0.0007335418],"domain_scores_gemma":[0.9968837,0.0014068239,0.0005594026,0.0009775788,0.00010405898,0.000068434856],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006117605,0.00036540144,0.00042028254,0.0002284359,0.00076328986,0.00032840596,0.001792479,0.00030903128,0.00030872945],"category_scores_gemma":[0.00091545656,0.00020000811,0.00018612198,0.0012318217,0.0006569149,0.00079908443,0.00018036533,0.0010322663,0.0001727564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019034524,0.00030618205,0.00020322908,0.00015880063,0.000022241891,0.0000044254007,0.0058751022,0.000018083987,0.0010471689,0.9492644,0.04258429,0.00049705955],"study_design_scores_gemma":[0.00047410544,0.000031127758,0.0009325242,0.00008530368,0.00008273325,0.000060079972,0.004002764,0.010538927,0.001814121,0.97357005,0.008073799,0.00033447164],"about_ca_topic_score_codex":0.000023777755,"about_ca_topic_score_gemma":0.00004019867,"teacher_disagreement_score":0.27925488,"about_ca_system_score_codex":0.00010573917,"about_ca_system_score_gemma":0.0000908349,"threshold_uncertainty_score":0.8156094},"labels":[],"label_agreement":null},{"id":"W1988817602","doi":"10.1016/s0895-7177(03)90042-2","title":"A certain family of summation-integral type operators","year":2003,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":158,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Type (biology); Sequence (biology); Linear operators; Bounded variation; Rate of convergence; Operator theory; Bounded function; Applied mathematics; Convergence (economics); Decomposition; Pure mathematics; Mathematical analysis; Computer science","score_opus":0.07042872555147867,"score_gpt":0.2815411749045258,"score_spread":0.21111244935304713,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1988817602","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3374705,0.000039743227,0.6601453,0.000020913996,0.00003125368,0.000100989884,8.545591e-7,0.000031548105,0.0021589026],"genre_scores_gemma":[0.6713939,0.0000073077044,0.32836714,0.00003791371,0.000019113386,0.000005022868,8.644387e-7,0.000011192006,0.00015754125],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908644,0.00008951087,0.00035172523,0.00016093631,0.00015793227,0.00015346511],"domain_scores_gemma":[0.9992966,0.00030082412,0.000080701975,0.00016593044,0.000090315116,0.0000655949],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00042856173,0.00013505026,0.0002818421,0.000050395818,0.00007374944,0.00003458098,0.00009300542,0.00006478637,0.000055258493],"category_scores_gemma":[0.000048085556,0.00010120473,0.00005111099,0.0001233564,0.00007807841,0.000106525666,0.000024341443,0.0000951532,0.00001375942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008124299,0.00006642149,0.000010346135,0.00014377729,0.000017397095,0.0000010802886,0.0011217548,0.0017821743,0.00007592337,0.996331,0.000045661436,0.00039634123],"study_design_scores_gemma":[0.00009005443,0.000036793655,4.006219e-7,0.00006195122,0.000010312091,0.000005967701,0.00019348525,0.436186,0.0006765708,0.5626227,0.000040898773,0.00007483544],"about_ca_topic_score_codex":0.0000015252032,"about_ca_topic_score_gemma":1.94696e-7,"teacher_disagreement_score":0.4344038,"about_ca_system_score_codex":0.000008318807,"about_ca_system_score_gemma":0.000020989488,"threshold_uncertainty_score":0.41270092},"labels":[],"label_agreement":null},{"id":"W1994866003","doi":"10.1007/s00025-012-0280-8","title":"On Trigonometric Blending Interpolation and Cubature Formulae","year":2012,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Trigonometric interpolation; Trigonometric integral; Interpolation (computer graphics); Trigonometry; Integration using Euler's formula; Orthogonality; Trigonometric substitution; Applied mathematics; Hermite interpolation; Transfinite number; Slater integrals; Mathematical analysis; Hermite polynomials; Polynomial interpolation; Linear interpolation; Polynomial; Geometry; Bicubic interpolation; Motion (physics)","score_opus":0.05381636828623574,"score_gpt":0.3322366727157336,"score_spread":0.27842030442949783,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1994866003","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9305748,0.00017239325,0.019800626,0.00021905672,0.00019977357,0.00058249355,0.00002330421,0.00012228686,0.0483053],"genre_scores_gemma":[0.9498463,0.000026866965,0.049351268,0.0000266032,0.00006408451,0.0000151987815,0.0000064878654,0.000020319134,0.0006428657],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99884343,0.00006314748,0.00046857825,0.00014725122,0.00019580785,0.000281787],"domain_scores_gemma":[0.99775934,0.0016361177,0.00024466423,0.00025875156,0.000023795625,0.00007730682],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015234321,0.00015974056,0.0002467956,0.00038177826,0.000072512215,0.00003761501,0.00011326934,0.00012436703,0.00003397707],"category_scores_gemma":[0.0027290478,0.00012733482,0.00003910873,0.0004296759,0.000041986867,0.00033208702,0.000041793344,0.000216395,0.000028479673],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057021825,0.00023095317,0.00016180502,0.00022999277,0.000011864146,9.789237e-7,0.008995107,0.000007449482,0.000120729695,0.9884707,0.00037041356,0.0013430341],"study_design_scores_gemma":[0.00083397614,0.00006887317,0.0002519421,0.0003075614,0.000020039693,0.000016313974,0.0021942146,0.009129335,0.0009911181,0.9857745,0.00018916593,0.00022296469],"about_ca_topic_score_codex":9.0397685e-7,"about_ca_topic_score_gemma":0.0000017030204,"teacher_disagreement_score":0.047662433,"about_ca_system_score_codex":0.000065536464,"about_ca_system_score_gemma":0.000009051006,"threshold_uncertainty_score":0.5192563},"labels":[],"label_agreement":null},{"id":"W1995268357","doi":"10.1007/s11425-010-3138-0","title":"Ultimate generalization to monotonicity for uniform convergence of trigonometric series","year":2010,"lang":"en","type":"article","venue":"Science China Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":54,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Monotonic function; Sequence (biology); Trigonometric series; Generalization; Series (stratigraphy); Convergence (economics); Uniform convergence; Bounded function; Function series; Space (punctuation); Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis; Fourier series","score_opus":0.03161625102823948,"score_gpt":0.33189721889794466,"score_spread":0.30028096786970515,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1995268357","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7482843,0.0000028615714,0.24912196,0.00016042552,0.0002512335,0.0007226443,0.000026607127,0.00006238529,0.0013676122],"genre_scores_gemma":[0.59631425,0.0000043036157,0.40323666,0.000015771346,0.000022339285,0.000051384905,0.0000022568722,0.000012743156,0.00034030274],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99845076,0.000014388039,0.0005156999,0.00027931918,0.00040912983,0.00033071102],"domain_scores_gemma":[0.99837875,0.00022052586,0.00037810093,0.0005213954,0.000357287,0.00014393259],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022445018,0.00017047132,0.00031390786,0.00039785815,0.00031817306,0.00007261035,0.00067998504,0.000069665366,0.000099226345],"category_scores_gemma":[0.003512372,0.00013808403,0.00007548582,0.0016878278,0.00050275086,0.00069789024,0.000093417024,0.00010276808,0.0000130747385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013017038,0.00010432822,0.00006203374,0.0002768793,0.0000049570162,1.3751179e-7,0.005013955,0.00010024994,0.08436026,0.90971476,0.000043688873,0.0003057387],"study_design_scores_gemma":[0.00016070025,0.00009728939,0.00018811975,0.000028783195,0.00001690571,0.000008031951,0.00063761126,0.025252078,0.2775039,0.69584244,0.000084055435,0.00018007735],"about_ca_topic_score_codex":0.0000054760467,"about_ca_topic_score_gemma":0.000013461801,"teacher_disagreement_score":0.21387233,"about_ca_system_score_codex":0.00004037675,"about_ca_system_score_gemma":0.00018273109,"threshold_uncertainty_score":0.5630903},"labels":[],"label_agreement":null},{"id":"W1996060741","doi":"10.1007/s11117-014-0286-4","title":"Some new factor theorems for generalized absolute Cesàro summability","year":2014,"lang":"en","type":"article","venue":"Positivity","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Absolute (philosophy); Series (stratigraphy); Pure mathematics; Potential theory; Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.06282982525123915,"score_gpt":0.3320368388883515,"score_spread":0.26920701363711236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W1996060741","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73944426,0.000030325391,0.2569277,0.0011623146,0.00020241794,0.0005515153,0.000070856855,0.00018859706,0.0014220586],"genre_scores_gemma":[0.9744511,0.000003468304,0.023270644,0.00021451585,0.00046480962,0.00004024876,0.000014126072,0.000024479605,0.0015165549],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987849,0.00025843762,0.00022908233,0.00027942538,0.0001635383,0.00028461596],"domain_scores_gemma":[0.99816686,0.001113503,0.00014380159,0.000383831,0.000063439664,0.0001285452],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009697119,0.00017204702,0.00029775707,0.00003319612,0.00017182945,0.000055094682,0.00017856197,0.00009759977,0.00010631197],"category_scores_gemma":[0.00087472936,0.00014218048,0.0001537044,0.0000611739,0.00009998444,0.00031140874,0.000040396626,0.00009623623,0.000027570566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000087617496,0.000079839876,0.00013684928,0.00009009656,0.000024752277,2.4738873e-7,0.00056901574,0.000004471543,0.0078071035,0.98639065,0.00075790385,0.0040514646],"study_design_scores_gemma":[0.00054647063,0.00006417114,0.0008683227,0.000013771799,0.000030174308,0.000001780473,0.00002082157,0.0021068107,0.029495277,0.96578556,0.00087959523,0.00018726893],"about_ca_topic_score_codex":0.000048193564,"about_ca_topic_score_gemma":0.000037517744,"teacher_disagreement_score":0.23500693,"about_ca_system_score_codex":0.000045648485,"about_ca_system_score_gemma":0.000042553336,"threshold_uncertainty_score":0.5797951},"labels":[],"label_agreement":null},{"id":"W2001608678","doi":"10.1016/s0895-7177(00)00213-2","title":"Mean ergodic theorems for affine operators","year":2000,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Ergodic theory; Mathematics; Affine transformation; Pure mathematics; Calculus (dental); Discrete mathematics; Applied mathematics; Mathematical economics; Algebra over a field; Medicine","score_opus":0.0481217340741883,"score_gpt":0.2728690070461891,"score_spread":0.2247472729720008,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2001608678","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22084183,0.000037178903,0.7763012,0.00017881696,0.000023490882,0.0002692932,0.0000033752494,0.00010403817,0.0022407465],"genre_scores_gemma":[0.48699626,0.000026997688,0.509847,0.00022103178,0.00026010457,0.00006604137,0.0000050889666,0.000037985687,0.002539481],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990126,0.000043387656,0.00031541302,0.00025043852,0.00013951748,0.0002386761],"domain_scores_gemma":[0.99917907,0.00044437003,0.000042279735,0.00019848817,0.000038453974,0.000097333075],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004628291,0.00017691146,0.00029598954,0.00003537869,0.0001846225,0.00009353778,0.00014458975,0.00007493186,0.000502887],"category_scores_gemma":[0.000012327907,0.0001297487,0.00008135352,0.000066671004,0.000092398004,0.00012932679,0.000027570186,0.000090787034,0.00003820311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002493745,0.000081264574,6.4777856e-7,0.00016194984,0.00002004235,0.000001183736,0.0019452942,0.0033219222,0.000013325469,0.983483,0.00011487792,0.010831524],"study_design_scores_gemma":[0.00015713273,0.000035055655,6.6109784e-8,0.000046476496,0.000014116978,0.000009405188,0.000041119445,0.48574978,0.0001547806,0.5133608,0.0003351826,0.00009610416],"about_ca_topic_score_codex":6.3711235e-7,"about_ca_topic_score_gemma":3.1507267e-7,"teacher_disagreement_score":0.48242787,"about_ca_system_score_codex":0.000009316465,"about_ca_system_score_gemma":0.000009232997,"threshold_uncertainty_score":0.55062604},"labels":[],"label_agreement":null},{"id":"W2003938929","doi":"10.1007/bf03321040","title":"Lacunary Pál-Type Interpolation and Over-Convergence","year":2004,"lang":"en","type":"article","venue":"Computational Methods and Function Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Lacunary function; Mathematics; Combinatorics; Type (biology); Integer (computer science); Radius of convergence; Interpolation (computer graphics); Series (stratigraphy); Power series; Discrete mathematics; Mathematical analysis; Physics","score_opus":0.05031565876446258,"score_gpt":0.38354078175742157,"score_spread":0.333225122992959,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2003938929","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15477647,0.00027722304,0.84343183,0.00012655949,0.00027515434,0.00011396101,0.0000025878662,0.00006831588,0.00092788815],"genre_scores_gemma":[0.5581051,0.000020157397,0.44134316,0.0002705086,0.000063976106,0.0000072356866,0.000011472648,0.000010996098,0.00016740133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989557,0.00040226162,0.00021283797,0.00021745202,0.00011267187,0.00009902355],"domain_scores_gemma":[0.9984551,0.0011955478,0.000115472445,0.000088813045,0.00008156422,0.00006350558],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015985915,0.000119258206,0.0001420714,0.00008954773,0.00018648602,0.00003893451,0.000044975284,0.00007616554,0.00020302943],"category_scores_gemma":[0.00047114678,0.00010587674,0.000029182951,0.00014076923,0.00016650326,0.0002694943,0.00004078905,0.00011870546,0.0000070987853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016292337,0.000025849333,0.0001315459,0.000038240683,0.000027968958,6.8517335e-7,0.0007913973,0.00044299997,0.0006875432,0.97621423,0.00003843466,0.021438183],"study_design_scores_gemma":[0.00034012715,0.00011503436,0.0020943119,0.00002862009,0.0000302465,0.000023936624,0.00061237573,0.006212183,0.00028151364,0.9899518,0.00018709146,0.00012274354],"about_ca_topic_score_codex":0.000002110586,"about_ca_topic_score_gemma":4.4577797e-7,"teacher_disagreement_score":0.40332863,"about_ca_system_score_codex":0.00001904569,"about_ca_system_score_gemma":0.000032857908,"threshold_uncertainty_score":0.43175283},"labels":[],"label_agreement":null},{"id":"W2004925802","doi":"10.1016/j.jat.2010.02.003","title":"Pointwise and global estimate for approximation by rational functions with prescribed numerator degree","year":2010,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Pointwise; Degree (music); Polynomial; Rational function; Combinatorics; Sign (mathematics); Function (biology); Discrete mathematics; Pure mathematics; Mathematical analysis; Physics","score_opus":0.024637588354964855,"score_gpt":0.2950533164505199,"score_spread":0.27041572809555503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2004925802","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27436823,0.000076789016,0.7227175,0.00077923125,0.00022685099,0.00066518056,0.00010090235,0.000059262045,0.0010060193],"genre_scores_gemma":[0.6766279,0.0000059985136,0.32228,0.00013389163,0.00027292632,0.00011322087,0.00006508018,0.00004265116,0.0004583986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99814254,0.00018432207,0.0007519738,0.00023295013,0.00044684138,0.00024138589],"domain_scores_gemma":[0.9970843,0.0007082532,0.0010648379,0.00024102756,0.0007278781,0.00017367792],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002361363,0.00025976895,0.00037673124,0.00013072022,0.00031838487,0.00017293997,0.0002112593,0.0001642892,0.00013069688],"category_scores_gemma":[0.0012419665,0.00019484489,0.00011434452,0.00022093691,0.000254717,0.0011798415,0.000025550293,0.00032214212,0.0000055099968],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012085515,0.0002825618,0.00023580261,0.00021257202,0.00015543657,0.00000180896,0.000965967,0.00005343729,0.0117315315,0.9743968,0.0041074045,0.0066480734],"study_design_scores_gemma":[0.002240898,0.00039360495,0.0001993338,0.000079942474,0.00021400901,0.00034252563,0.0009958601,0.0064445212,0.0074625933,0.9803357,0.0009896841,0.00030134068],"about_ca_topic_score_codex":9.584164e-7,"about_ca_topic_score_gemma":0.000008979226,"teacher_disagreement_score":0.40225962,"about_ca_system_score_codex":0.00006187211,"about_ca_system_score_gemma":0.00017013444,"threshold_uncertainty_score":0.7945544},"labels":[],"label_agreement":null},{"id":"W2007265733","doi":"10.1017/s0308210500001608","title":"Masked factorable matrices","year":2002,"lang":"en","type":"article","venue":"Proceedings of the Royal Society of Edinburgh Section A Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Class (philosophy); Simple (philosophy); Mathematics; Sequence (biology); Bounded function; Pure mathematics; Combinatorics; Discrete mathematics; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.038953045762154886,"score_gpt":0.25920817433285076,"score_spread":0.22025512857069587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2007265733","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9617055,0.00014449848,0.0043604197,0.0007170847,0.00041961222,0.00071816397,0.000012797119,0.00019679111,0.031725105],"genre_scores_gemma":[0.9291137,0.00007655586,0.054567803,0.00004387759,0.00021624225,0.00003070091,4.4651125e-7,0.000035846588,0.015914822],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99825925,0.000007863636,0.00067152694,0.00020403347,0.0006056439,0.00025169743],"domain_scores_gemma":[0.99795145,0.00026648113,0.0011215479,0.00018783587,0.00041186038,0.000060847877],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007788478,0.00022494124,0.00043997515,0.000050565115,0.00022540579,0.00004151859,0.00047602825,0.00019228453,0.0012614963],"category_scores_gemma":[0.00046349372,0.00015908903,0.00046599156,0.0004851795,0.00025713848,0.00024988755,0.00012303065,0.00025308575,0.0000026940575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006209412,0.0029353274,0.0041999076,0.008905642,0.00097427156,2.3485761e-7,0.097057745,0.00023565466,0.06632975,0.15581064,0.6625962,0.0008924818],"study_design_scores_gemma":[0.0010059769,0.00022025708,0.0000725756,0.00093815173,0.00037490544,0.000019606863,0.025434248,0.11442585,0.16028628,0.69435245,0.002246382,0.0006233185],"about_ca_topic_score_codex":0.000008541369,"about_ca_topic_score_gemma":2.8431123e-7,"teacher_disagreement_score":0.66034985,"about_ca_system_score_codex":0.00006198335,"about_ca_system_score_gemma":0.000011893243,"threshold_uncertainty_score":0.9996515},"labels":[],"label_agreement":null},{"id":"W2016388498","doi":"10.1016/j.jmaa.2004.01.006","title":"A one-sided Tauberian theorem for the Borel summability method","year":2004,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Abelian and tauberian theorems; Mathematics; Sequence (biology); Bounded function; Pure mathematics; Discrete mathematics; Mathematical analysis","score_opus":0.05014806270176636,"score_gpt":0.36384743494155736,"score_spread":0.313699372239791,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2016388498","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011016806,0.000087080945,0.9830896,0.0048054596,0.0000064801125,0.000469098,0.000013480525,0.000013932212,0.00049805787],"genre_scores_gemma":[0.49896696,0.00004311538,0.50043535,0.00012070012,0.00013502828,0.00017839175,0.0000025484176,0.0000130875405,0.000104835344],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986409,0.00009023645,0.00072222576,0.0001462037,0.00025578556,0.00014467753],"domain_scores_gemma":[0.9953363,0.0033864435,0.00054702663,0.00035067418,0.0002736818,0.0001058786],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027435317,0.00012050285,0.00049423333,0.00011406248,0.00027970382,0.00007599176,0.00027035348,0.000065193024,0.00009134296],"category_scores_gemma":[0.0009845237,0.00006983399,0.00042628252,0.00052217266,0.00018414491,0.000111158566,0.000030109948,0.00015320868,0.0000034092302],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020095782,0.0002670333,0.0000140313305,0.00006701985,0.00067573524,1.6974863e-7,0.00052752846,0.00016767054,0.0003267334,0.9943284,0.000022716493,0.0035828804],"study_design_scores_gemma":[0.00030892022,0.000039909275,0.00012826828,0.000026156613,0.0022527429,0.000014014043,0.001010554,0.0020178733,0.0013358871,0.99248445,0.00029611407,0.00008512207],"about_ca_topic_score_codex":0.00000336627,"about_ca_topic_score_gemma":0.00001098284,"teacher_disagreement_score":0.48795015,"about_ca_system_score_codex":0.000032348154,"about_ca_system_score_gemma":0.0000470468,"threshold_uncertainty_score":0.28477478},"labels":[],"label_agreement":null},{"id":"W2017604269","doi":"10.1016/j.jmaa.2014.12.012","title":"Uniform and pointwise convergence of Bernstein–Durrmeyer operators with respect to monotone and submodular set functions","year":2014,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Research Nova Scotia","keywords":"Mathematics; Pointwise; Monotone polygon; Submodular set function; Measure (data warehouse); Set function; Discrete mathematics; Bounded function; Lebesgue integration; Lebesgue measure; Operator (biology); Borel measure; Pure mathematics; Mathematical analysis; Combinatorics; Set (abstract data type); Probability measure","score_opus":0.017792845704405657,"score_gpt":0.28131478449959113,"score_spread":0.2635219387951855,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2017604269","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55972624,0.00003621691,0.4393237,0.00050945696,0.000002111358,0.00014349377,0.00000784842,0.000005182313,0.00024579768],"genre_scores_gemma":[0.96774757,0.000050382503,0.031919803,0.000040050898,0.000027143233,0.000023976609,0.0000013999623,0.000008279979,0.00018141464],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99895364,0.00005847591,0.00051843637,0.00014840862,0.00021702595,0.000103987215],"domain_scores_gemma":[0.99867034,0.0003746489,0.00032771504,0.00021488625,0.00022371822,0.00018871906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00083786855,0.00012035549,0.00047587394,0.00022308838,0.00012391064,0.00004199306,0.000093161034,0.000044739314,0.00008000988],"category_scores_gemma":[0.00016885727,0.000078234356,0.00007267289,0.0005241294,0.00018006329,0.00013412033,0.000037978796,0.00010140057,0.0000031714656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000069040645,0.00023336764,0.0036337925,0.00027312853,0.00077334733,0.0000013273115,0.0016692749,0.00013782988,0.0024228871,0.9890945,0.00008010322,0.0016114264],"study_design_scores_gemma":[0.0009067215,0.00062198826,0.0037525739,0.00021095367,0.0036356635,0.00017069075,0.004728404,0.013505114,0.0050404356,0.9658406,0.0011696554,0.0004172387],"about_ca_topic_score_codex":0.0000034580594,"about_ca_topic_score_gemma":0.000012532662,"teacher_disagreement_score":0.40802133,"about_ca_system_score_codex":0.000010154275,"about_ca_system_score_gemma":0.000017095008,"threshold_uncertainty_score":0.31903043},"labels":[],"label_agreement":null},{"id":"W2025039914","doi":"10.1016/j.mcm.2011.12.011","title":"Generalized equi-statistical convergence of positive linear operators and associated approximation theorems","year":2011,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":86,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Pointwise convergence; Mathematics; Normal convergence; Dominated convergence theorem; Convergence (economics); Modes of convergence (annotated index); Convergence tests; Compact convergence; Pointwise; Applied mathematics; Uniform convergence; Type (biology); Discrete mathematics; Pure mathematics; Rate of convergence; Mathematical analysis; Computer science; Topological space; Approx","score_opus":0.07542649327845788,"score_gpt":0.27771360634787673,"score_spread":0.20228711306941885,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2025039914","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.385958,0.000018901916,0.6133771,0.00001582037,0.000018835462,0.00015229681,0.000009688831,0.000033862234,0.00041548995],"genre_scores_gemma":[0.6392637,0.0000140090115,0.3606055,0.000030825104,0.000018987414,0.000009177863,0.0000059048702,0.000012422263,0.00003946402],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988095,0.0001439365,0.00044126797,0.00023625852,0.0001826465,0.00018639157],"domain_scores_gemma":[0.99908197,0.00042765547,0.0001511048,0.00013545858,0.00010544146,0.00009839848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005874147,0.00017341068,0.00038300158,0.000049021597,0.000100913225,0.000026058577,0.00009914085,0.00009939877,0.00009852102],"category_scores_gemma":[0.000070394715,0.00013400098,0.000039629664,0.00008279712,0.00025240693,0.00014969977,0.00008161505,0.00011185492,0.000004789957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030170184,0.00013731491,0.000027590457,0.0001698008,0.000045466993,0.0000027571625,0.0056678844,0.00013881196,0.00010822543,0.99327826,0.000007858403,0.0003858418],"study_design_scores_gemma":[0.00016202932,0.00005437663,0.0000070807228,0.00007248856,0.000027245555,0.0000065019844,0.00009367849,0.5025289,0.0013472548,0.4956116,4.492895e-7,0.000088377],"about_ca_topic_score_codex":0.0000059397867,"about_ca_topic_score_gemma":3.225025e-7,"teacher_disagreement_score":0.5023901,"about_ca_system_score_codex":0.000009655688,"about_ca_system_score_gemma":0.000012717916,"threshold_uncertainty_score":0.5464401},"labels":[],"label_agreement":null},{"id":"W2025776011","doi":"10.1142/s1793557111000484","title":"SOME LACUNARY DIFFERENCE SEQUENCE SPACES DEFINED BY MUSIELAK–ORLICZ FUNCTIONS","year":2011,"lang":"en","type":"article","venue":"Asian-European Journal of Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Lacunary function; Mathematics; Sequence (biology); Pure mathematics; Chemistry","score_opus":0.09024938544760985,"score_gpt":0.273890691379272,"score_spread":0.18364130593166217,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2025776011","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7502552,0.00057928317,0.16141176,0.0017180511,0.0008274824,0.00051106495,0.00006956112,0.00027407383,0.08435348],"genre_scores_gemma":[0.8525818,0.00012019112,0.14318086,0.00021984547,0.00028028237,0.0000051953816,0.0000048591733,0.00009942958,0.0035075475],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99718857,0.0005403232,0.001148234,0.00022243244,0.0005247834,0.00037567498],"domain_scores_gemma":[0.9970556,0.000493098,0.0014098611,0.00053035293,0.00025870427,0.0002523878],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002067685,0.00035120925,0.0005601214,0.00019588255,0.00021222234,0.00009531318,0.00077319937,0.000080665755,0.00040104194],"category_scores_gemma":[0.0011644539,0.00027082965,0.00024302029,0.00024778573,0.0002925019,0.0005942252,0.00010898613,0.0005360564,0.00022393477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001679555,0.0035951945,0.00032278954,0.0009991007,0.0006955375,0.0009566255,0.06495131,0.000008868699,0.02805364,0.8410599,0.048397027,0.010792011],"study_design_scores_gemma":[0.0012293623,0.0009780084,0.0002806197,0.00074008876,0.0003981573,0.0014892558,0.018752191,0.00026247322,0.006816095,0.9663274,0.0019428206,0.0007834777],"about_ca_topic_score_codex":0.0000017501592,"about_ca_topic_score_gemma":0.000001484027,"teacher_disagreement_score":0.1252675,"about_ca_system_score_codex":0.000054942688,"about_ca_system_score_gemma":0.0000759824,"threshold_uncertainty_score":0.99997437},"labels":[],"label_agreement":null},{"id":"W20264788","doi":"","title":"Ρ-ary pseudo noise sequences and their related difference sets","year":2002,"lang":"en","type":"dissertation","venue":"Canadian doctor","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Noise (video); Mathematics; Speech recognition; Computer science; Artificial intelligence","score_opus":0.03168456778164133,"score_gpt":0.27394345016195526,"score_spread":0.24225888238031393,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W20264788","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96007365,0.00089034095,0.0000052726828,0.0003136578,0.0005009956,0.00046368784,0.00026324127,0.0001077062,0.037381466],"genre_scores_gemma":[0.90504,0.00027980845,0.00047897117,0.00020579563,0.000081242346,0.00007253018,0.0005772277,0.00007740871,0.093187],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985273,0.00011330427,0.00037103365,0.00042085018,0.00015613633,0.00041139114],"domain_scores_gemma":[0.9984545,0.0002308899,0.00024376519,0.0003626846,0.00009600714,0.0006121625],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00019081429,0.0003946547,0.00043553585,0.00028148602,0.00027738773,0.00011788984,0.00031176012,0.0005000738,0.0020394218],"category_scores_gemma":[0.00040801844,0.00033142732,0.00008599195,0.00019889735,0.00012490037,0.00014478313,0.000009785916,0.00042557772,0.00009369032],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009281933,0.00013395427,0.0010488702,0.0030892193,0.0007133433,0.00047724813,0.10596493,0.000004435102,0.0045425855,0.8051538,0.028554339,0.050224468],"study_design_scores_gemma":[0.0004916399,0.00011744461,0.0030084248,0.0011001602,0.00017008428,0.00010758239,0.01095058,0.0010153616,0.0021492431,0.973559,0.005638667,0.0016917675],"about_ca_topic_score_codex":0.0051722783,"about_ca_topic_score_gemma":0.08933552,"teacher_disagreement_score":0.16840526,"about_ca_system_score_codex":0.0001808992,"about_ca_system_score_gemma":0.00046485718,"threshold_uncertainty_score":0.99991375},"labels":[],"label_agreement":null},{"id":"W2028459013","doi":"10.1016/j.jmaa.2009.06.020","title":"The <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mi mathvariant=\"italic\">HH</mml:mi></mml:math> norms on Cartesian powers and sequence spaces","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Sequence (biology); Cartesian product; Product (mathematics); Bounded function; Smoothness; Combinatorics; Mathematical analysis; Geometry","score_opus":0.020037276351251247,"score_gpt":0.26828479291991414,"score_spread":0.2482475165686629,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2028459013","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96573883,0.00028717564,0.02126536,0.002685993,0.0000652509,0.00007972458,0.000048737325,0.00006023368,0.009768719],"genre_scores_gemma":[0.99006236,0.00044300503,0.008399107,0.00045687193,0.00027577553,0.0001409787,0.000025385873,0.00006091862,0.00013562973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969781,0.00012458372,0.0010416821,0.000442853,0.0008992224,0.0005135641],"domain_scores_gemma":[0.9963903,0.0011972904,0.0012138609,0.0006950269,0.00013522264,0.0003683458],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0016509653,0.0003221219,0.0003577333,0.0002080134,0.0009892791,0.0006574052,0.00060411217,0.0003681322,0.0003912732],"category_scores_gemma":[0.00060227944,0.00030941193,0.0006308485,0.0006279711,0.0005565409,0.00047408955,0.0001585567,0.0005378071,0.00017237269],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009191143,0.00022237239,0.000005190849,0.00017656299,0.00070290273,0.000042455937,0.0011798418,0.00021037234,0.0010634228,0.99374235,0.0010748418,0.0014877943],"study_design_scores_gemma":[0.0009489013,0.00094858144,0.00009275658,0.0006333403,0.0035605915,0.0010959954,0.006701114,0.31595322,0.034010332,0.633546,0.0016444983,0.00086468074],"about_ca_topic_score_codex":0.00003421073,"about_ca_topic_score_gemma":0.000047624402,"teacher_disagreement_score":0.36019635,"about_ca_system_score_codex":0.000014618693,"about_ca_system_score_gemma":0.000158672,"threshold_uncertainty_score":0.9999358},"labels":[],"label_agreement":null},{"id":"W2031631240","doi":"10.1016/j.mcm.2012.06.018","title":"A new class of matrices and its applications to absolute summability factor theorems","year":2012,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Class (philosophy); Pure mathematics; Absolute (philosophy); Matrix (chemical analysis); Combinatorics; Factor (programming language)","score_opus":0.08114002178822384,"score_gpt":0.3065662733063707,"score_spread":0.22542625151814688,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2031631240","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26865143,0.00018008925,0.73023045,0.00012278449,0.000012505889,0.000314083,0.00000552723,0.000040470397,0.00044265421],"genre_scores_gemma":[0.73028415,0.000017756738,0.26939887,0.00003434866,0.00008810393,0.000025098858,7.104624e-7,0.0000113146825,0.00013963509],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990729,0.0000429097,0.00033266903,0.00017903479,0.00015284492,0.00021962049],"domain_scores_gemma":[0.9988432,0.0005994476,0.00009520029,0.00018462188,0.000045960707,0.00023156838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003845038,0.00014122653,0.00028634732,0.00005106868,0.0000794321,0.00003637264,0.0001161051,0.0000656106,0.000048721962],"category_scores_gemma":[0.00002590366,0.000107161344,0.000042798063,0.000106030355,0.000044000335,0.00018048736,0.000102885686,0.00008145067,0.000016668908],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008866445,0.00007902131,0.000020087306,0.00040924153,0.000016449672,8.012108e-8,0.002893458,0.0001645857,0.00009216493,0.9928371,0.00002259968,0.0034563874],"study_design_scores_gemma":[0.000091627015,0.000025731873,0.000010369484,0.00006264568,0.000022765555,0.000006465968,0.00009215546,0.2388392,0.0006068116,0.7599087,0.00021208383,0.00012145446],"about_ca_topic_score_codex":0.0000016824603,"about_ca_topic_score_gemma":2.511691e-7,"teacher_disagreement_score":0.46163273,"about_ca_system_score_codex":0.000008905731,"about_ca_system_score_gemma":0.00001055995,"threshold_uncertainty_score":0.43699127},"labels":[],"label_agreement":null},{"id":"W2037750755","doi":"10.1016/j.jmaa.2008.01.024","title":"Hardy-type inequalities via auxiliary sequences","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"The Scarborough Hospital; University of Toronto","funders":"","keywords":"Mathematics; Type (biology); Inequality; Pure mathematics; Calculus (dental); Mathematical analysis","score_opus":0.06239923009805015,"score_gpt":0.32624218575721703,"score_spread":0.2638429556591669,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2037750755","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32483482,0.00023393791,0.67188853,0.0007767729,0.000013691158,0.00015093641,0.0000055652777,0.000027604308,0.0020681173],"genre_scores_gemma":[0.9461789,0.00022854548,0.05255041,0.00007488253,0.00012253935,0.000018645882,0.000002740542,0.0000094079305,0.00081389607],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985684,0.00009002612,0.00074873876,0.00012386657,0.00033517196,0.00013376544],"domain_scores_gemma":[0.998191,0.00065190805,0.0005167666,0.00021324735,0.00029550146,0.00013156628],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082067767,0.00012810343,0.0005241243,0.00023513209,0.00023150117,0.000031166357,0.00019461541,0.00006496831,0.00037373666],"category_scores_gemma":[0.0002498453,0.00008770955,0.00022952173,0.0007201121,0.00029478341,0.00021002661,0.000030195899,0.000157619,0.000020638303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019919762,0.0003252184,0.0010074354,0.00014948702,0.00087530806,0.000011285851,0.0017517313,0.00003684858,0.0010935541,0.9931366,0.00041981522,0.001172798],"study_design_scores_gemma":[0.000117734584,0.000054157492,0.0002471005,0.000022456969,0.00076734496,0.00021189988,0.00082259485,0.001223375,0.0008930689,0.99489814,0.00061644864,0.00012569166],"about_ca_topic_score_codex":0.0000023966663,"about_ca_topic_score_gemma":0.0000018263919,"teacher_disagreement_score":0.6213441,"about_ca_system_score_codex":0.000018202112,"about_ca_system_score_gemma":0.000045611563,"threshold_uncertainty_score":0.40921542},"labels":[],"label_agreement":null},{"id":"W2038360426","doi":"10.5539/jmr.v7n2p110","title":"A Spline Group – Korovkin Approximation Theorem","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"University of Kufa","keywords":"Mathematics; Generalization; Homogeneous; Spline (mechanical); Operator (biology); Type (biology); Pure mathematics; Applied mathematics; Mathematical analysis; Combinatorics","score_opus":0.3309033612920186,"score_gpt":0.4631080721083298,"score_spread":0.13220471081631124,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2038360426","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70292264,0.00032505763,0.26322913,0.001804911,0.00032933327,0.0007833319,0.0000049144383,0.00007637521,0.030524282],"genre_scores_gemma":[0.69256115,0.000045290664,0.30544704,0.000027172247,0.0004416614,0.000017095452,0.0000023602047,0.00005305444,0.0014052116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99581003,0.0006094728,0.0009972159,0.00015074367,0.0020322516,0.0004002958],"domain_scores_gemma":[0.9951856,0.001768365,0.0006893424,0.00043189112,0.001617533,0.00030723575],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.020962944,0.00016860031,0.000467992,0.0005214223,0.00014094652,0.00014405804,0.0006562535,0.00013797505,0.00014062184],"category_scores_gemma":[0.0058048824,0.000120124576,0.00014940827,0.000541695,0.0002645482,0.0005032414,0.00012856362,0.0007405841,0.00009718737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009661258,0.00072248426,0.000022400187,0.0003284234,0.00006268765,0.00004345138,0.0096679,0.000022665128,0.0019849597,0.9784258,0.0072851316,0.001337488],"study_design_scores_gemma":[0.00076418626,0.0003888892,0.000003881504,0.00021571244,0.00002458548,0.00031510208,0.015170697,0.0043172655,0.0031699112,0.97455966,0.00094427366,0.00012584947],"about_ca_topic_score_codex":0.000003623562,"about_ca_topic_score_gemma":0.000004262317,"teacher_disagreement_score":0.04221791,"about_ca_system_score_codex":0.00019892896,"about_ca_system_score_gemma":0.0002361383,"threshold_uncertainty_score":0.726538},"labels":[],"label_agreement":null},{"id":"W2046326526","doi":"10.4153/cmb-2000-048-3","title":"Weighted Mean Operators on <i>l<sub>p</sub></i>","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Monotonic function; Combinatorics; Constant (computer programming); Matrix (chemical analysis); Triangular matrix; Pure mathematics; Mathematical analysis; Invertible matrix; Chemistry","score_opus":0.016860461037039243,"score_gpt":0.236391416252066,"score_spread":0.21953095521502675,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2046326526","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8028298,0.000018152132,0.00039276405,0.0057074716,0.000055665023,0.00048373092,0.00003628565,0.00018899686,0.19028711],"genre_scores_gemma":[0.98509294,0.000017674782,0.0038104649,0.004139868,0.00015526991,0.00009247812,0.00001650925,0.000090295565,0.0065844897],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980006,0.00017268448,0.00046306683,0.00038375275,0.00034258643,0.00063728855],"domain_scores_gemma":[0.99802506,0.0004804374,0.00006694626,0.00056318054,0.000063598636,0.00080078014],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00061697717,0.00031603046,0.00039424322,0.0001533458,0.00030028838,0.00010242159,0.00035853172,0.00020374595,0.054877684],"category_scores_gemma":[0.00035394682,0.00027162398,0.00013102734,0.00024301503,0.00019412632,0.00005819025,0.0000139851345,0.00031619365,0.047469273],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027365924,0.000120302466,0.0000029037003,0.00010041269,0.00003808016,0.000087877896,0.00097377953,0.000005101988,0.0005687818,0.93501216,0.056408785,0.006654437],"study_design_scores_gemma":[0.0004543128,0.00011489028,0.000005569901,0.00023286148,0.000046202298,0.000058111567,0.00032451426,0.00034902294,0.0261351,0.8908007,0.08087803,0.00060067186],"about_ca_topic_score_codex":0.00007594453,"about_ca_topic_score_gemma":0.00043231543,"teacher_disagreement_score":0.18370262,"about_ca_system_score_codex":0.00017539044,"about_ca_system_score_gemma":0.0001533177,"threshold_uncertainty_score":0.9999736},"labels":[],"label_agreement":null},{"id":"W2047193155","doi":"10.4153/cmb-2007-012-9","title":"Simultaneous Approximation and Interpolation on Arakelian Sets","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Deutsche Forschungsgemeinschaft; Carl von Ossietzky Universität Oldenburg","keywords":"Mathematics; Interpolation (computer graphics); Applied mathematics; Bilinear interpolation; Birkhoff interpolation; Multivariate interpolation; Trilinear interpolation; Mathematical analysis; Statistics; Artificial intelligence; Computer science","score_opus":0.022785914113641163,"score_gpt":0.28179981218036965,"score_spread":0.2590138980667285,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2047193155","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73283106,0.00003709959,0.11693224,0.00724924,0.0001392206,0.0011699168,0.000030539966,0.0002715123,0.14133915],"genre_scores_gemma":[0.9765593,0.0000019575643,0.021166492,0.0007415811,0.000057428722,0.000013503381,0.000010653372,0.000030961124,0.0014181314],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986386,0.000066101726,0.00039646128,0.0002629225,0.0002240921,0.00041182473],"domain_scores_gemma":[0.99759203,0.001489813,0.00011320895,0.00026589274,0.00006769461,0.0004713735],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0011673914,0.00020022727,0.00023516358,0.0002318267,0.0001872273,0.00007367621,0.00013225884,0.00016338537,0.0030514728],"category_scores_gemma":[0.0023035856,0.00017824516,0.00004722973,0.00013731678,0.00013774827,0.000051594954,0.00001660979,0.00020713899,0.0020830675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033749016,0.000050656163,0.000017299673,0.00015660262,0.000015438198,0.00005074259,0.0015069632,0.000005649405,0.0001480038,0.98914474,0.0021552155,0.006714926],"study_design_scores_gemma":[0.00029100332,0.00010748711,0.0000395222,0.00019307334,0.000023682673,0.00007119948,0.0012357829,0.0082197795,0.0006998338,0.9813694,0.007421141,0.00032810977],"about_ca_topic_score_codex":0.000079087804,"about_ca_topic_score_gemma":0.0005792007,"teacher_disagreement_score":0.24372822,"about_ca_system_score_codex":0.00012599825,"about_ca_system_score_gemma":0.00004646698,"threshold_uncertainty_score":0.99869394},"labels":[],"label_agreement":null},{"id":"W2048470048","doi":"10.5539/jmr.v3n3p59","title":"Efficient Approximation Using Probabilistically Improved Combinatorial Structure of Bernstein's Polynomial Operator's Weights through the Fusion of Dual-Perspectives","year":2011,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Bernstein polynomial; Operator (biology); Polynomial; Dual (grammatical number); Applied mathematics; Spouge's approximation; Approximation error; Minimax approximation algorithm; Function (biology); Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.11644755536853138,"score_gpt":0.37627340457405717,"score_spread":0.25982584920552576,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2048470048","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9838395,0.00007658462,0.0140626915,0.00007094168,0.00022283247,0.0007631284,0.000013586561,0.000008409995,0.0009423237],"genre_scores_gemma":[0.86635846,0.0000115719085,0.13341601,0.0000018308485,0.00016014134,0.0000030516212,4.8129e-7,0.00002460686,0.00002384583],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961427,0.0005829748,0.0013104565,0.00017865656,0.0014780267,0.00030722332],"domain_scores_gemma":[0.99419653,0.0015571193,0.0012830598,0.00047441755,0.002405433,0.00008340999],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0041142344,0.00019371515,0.0005997386,0.00023335296,0.00023986191,0.00004466113,0.00057947217,0.00019543902,0.00019450985],"category_scores_gemma":[0.002866838,0.00011344472,0.00018908463,0.00043226173,0.00078643527,0.00018966438,0.00017741347,0.00069186685,0.0000013853667],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030137892,0.0011362783,0.000010720865,0.0008069738,0.00012488659,0.000003969398,0.07751355,0.0001075167,0.15232092,0.76758724,0.000041266747,0.000045309876],"study_design_scores_gemma":[0.000918568,0.00055010326,0.000014209082,0.0004212303,0.0000875768,0.000078425954,0.03355461,0.013827578,0.15737762,0.79303646,0.000006530353,0.0001271001],"about_ca_topic_score_codex":0.00003506042,"about_ca_topic_score_gemma":0.000005023509,"teacher_disagreement_score":0.119353324,"about_ca_system_score_codex":0.00015049237,"about_ca_system_score_gemma":0.000410834,"threshold_uncertainty_score":0.46261415},"labels":[],"label_agreement":null},{"id":"W2054083772","doi":"10.1016/j.mcm.2007.08.015","title":"Statistical approximation results for Kantorovich-type operators involving some special polynomials","year":2007,"lang":"en","type":"article","venue":"Mathematical and Computer Modelling","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Generalization; Type (biology); Operator theory; Applied mathematics; Convergence (economics); Baskakov operator; Algebra over a field; Order (exchange); Pure mathematics; Microlocal analysis; Mathematical analysis; Fourier integral operator","score_opus":0.06661346319781335,"score_gpt":0.30630105156316495,"score_spread":0.2396875883653516,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2054083772","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12177638,0.00004134941,0.8765442,0.00012427145,0.00020946747,0.00049368525,0.000018765037,0.000101858524,0.0006900586],"genre_scores_gemma":[0.20562384,0.000014764461,0.7917168,0.00016793313,0.0021186068,0.000018718923,0.00002830614,0.000038445643,0.000272582],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99810284,0.000062934225,0.00078420306,0.00038075377,0.00026421915,0.0004050347],"domain_scores_gemma":[0.9974431,0.0018852055,0.00015681381,0.00021847899,0.00012514032,0.00017126503],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019802926,0.00023877343,0.00042116467,0.000094644616,0.0002699727,0.00015791894,0.00015667407,0.00014566931,0.000026906358],"category_scores_gemma":[0.00026330905,0.0001971623,0.000064420696,0.00010153637,0.00012308067,0.0003209246,0.00007397026,0.00015287317,0.000018437267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001912824,0.000105630555,0.0000027444405,0.00034364418,0.000025016489,0.0000036244514,0.0022437237,0.0007416582,0.00009935814,0.9936917,0.00055175583,0.0019999042],"study_design_scores_gemma":[0.0003725412,0.00007768766,0.0000012662799,0.00007281689,0.000021894453,0.0000075033267,0.00012735082,0.44552737,0.0006106735,0.5528735,0.00014966326,0.00015769992],"about_ca_topic_score_codex":0.000001758835,"about_ca_topic_score_gemma":0.0000013304963,"teacher_disagreement_score":0.4447857,"about_ca_system_score_codex":0.00004027419,"about_ca_system_score_gemma":0.000030869065,"threshold_uncertainty_score":0.80400455},"labels":[],"label_agreement":null},{"id":"W2056325905","doi":"10.4153/cmb-2010-006-4","title":"Approximation and Interpolation by Entire Functions of Several Variables","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"University of Prince Edward Island","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Sequence (biology); Interpolation (computer graphics); Entire function; Function (biology); Real-valued function; Real number; Combinatorics; Discrete mathematics; Pure mathematics","score_opus":0.014721388064262871,"score_gpt":0.24154785189691547,"score_spread":0.2268264638326526,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2056325905","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.34058598,0.00015846484,0.54339784,0.013247067,0.00010746397,0.0011368212,0.00015239508,0.00019302302,0.101020925],"genre_scores_gemma":[0.97562426,0.0000036586955,0.020884203,0.00026317924,0.000026079275,0.000014046744,0.000030199993,0.000012520867,0.0031418586],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990485,0.00007214672,0.0003503015,0.00016989927,0.00014488806,0.00021427679],"domain_scores_gemma":[0.9991717,0.00023357126,0.00012564,0.00018712043,0.0000672821,0.00021473791],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00043168105,0.00013555071,0.00023175651,0.00011360393,0.00011886495,0.000041223317,0.00009865573,0.00011180428,0.0039249565],"category_scores_gemma":[0.0005716651,0.0001247823,0.000044148586,0.000119163305,0.00010174082,0.00008618787,0.000009804073,0.00010929476,0.00019653198],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000011267052,0.00006957515,0.000015467502,0.00014028244,0.000017754288,0.0000013361265,0.0008992688,0.0000027595459,0.00093834393,0.9675017,0.029092569,0.0013096894],"study_design_scores_gemma":[0.00023674218,0.00008108553,0.000039599014,0.00012512418,0.000040507985,0.000022215165,0.00074606424,0.00572383,0.00052709144,0.9878772,0.0043922113,0.00018835504],"about_ca_topic_score_codex":0.000088607914,"about_ca_topic_score_gemma":0.000051591764,"teacher_disagreement_score":0.63503826,"about_ca_system_score_codex":0.00005062729,"about_ca_system_score_gemma":0.000053403088,"threshold_uncertainty_score":0.9969856},"labels":[],"label_agreement":null},{"id":"W2057638322","doi":"10.1007/s00365-001-0024-6","title":"Multivariate simultaneous approximation","year":2002,"lang":"en","type":"article","venue":"Constructive Approximation","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":76,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Multivariate statistics; Partial derivative; Class (philosophy); Polynomial; Applied mathematics; Mathematical analysis; Statistics; Computer science","score_opus":0.051133447757969186,"score_gpt":0.29059847415288304,"score_spread":0.23946502639491385,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2057638322","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36893,0.00009060006,0.57785034,0.00045563054,0.00038583856,0.0015683635,0.000036150595,0.0008113081,0.04987176],"genre_scores_gemma":[0.8823392,0.000008662277,0.116495706,0.00006604344,0.00011940692,0.000112056594,0.000024604213,0.00003829137,0.0007960536],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99791175,0.0002633719,0.0005691,0.0004728249,0.0004134149,0.00036956515],"domain_scores_gemma":[0.9978129,0.00087278074,0.00045842433,0.0004513184,0.000291241,0.000113304646],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00049444294,0.0003164075,0.0003574398,0.00020054515,0.00033823532,0.0001043101,0.00024734862,0.00019410271,0.0009953959],"category_scores_gemma":[0.0017654563,0.000296787,0.00011618399,0.00042578738,0.0003226623,0.00081408897,0.000054242562,0.00025469513,0.00031533148],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038706272,0.0001887495,0.00010466273,0.00013271523,0.00006571843,0.000008246826,0.004613142,0.00013847285,0.005803169,0.94473004,0.00033270934,0.043843664],"study_design_scores_gemma":[0.0009177904,0.00006074716,0.000041184685,0.000056812507,0.000054447584,0.00008345319,0.001662228,0.28834152,0.011738791,0.6962692,0.000326472,0.0004472993],"about_ca_topic_score_codex":0.000005534504,"about_ca_topic_score_gemma":0.000001932792,"teacher_disagreement_score":0.5134092,"about_ca_system_score_codex":0.00013847486,"about_ca_system_score_gemma":0.000018024037,"threshold_uncertainty_score":0.99994844},"labels":[],"label_agreement":null},{"id":"W2059779061","doi":"10.1016/j.jat.2012.06.002","title":"Pointwise estimates for 3-monotone approximation","year":2012,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; University of Manitoba","keywords":"Mathematics; Pointwise; Monotone polygon; Partition (number theory); Spline (mechanical); Combinatorics; Quadratic equation; Strongly monotone; Polynomial; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.04896152160824357,"score_gpt":0.33216916722730055,"score_spread":0.283207645619057,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2059779061","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12993816,0.0004776621,0.8656049,0.00040087756,0.00048456815,0.0007311318,0.000011282395,0.00008383306,0.0022676308],"genre_scores_gemma":[0.7032857,0.000014840226,0.29554883,0.00012351583,0.0005838363,0.00006921155,0.00001378345,0.000050221875,0.00031004776],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99764544,0.00028360754,0.0010808778,0.0001441807,0.00044000024,0.00040591913],"domain_scores_gemma":[0.9955341,0.0018731459,0.0015835545,0.0002869055,0.0005246316,0.00019764868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0066822255,0.00026050577,0.00050909416,0.00032023102,0.00020352649,0.00007519904,0.00031050327,0.00016071172,0.00018014062],"category_scores_gemma":[0.0032476368,0.00020762463,0.00029446752,0.0002366626,0.00014152542,0.0017947766,0.00003349536,0.0002353405,0.000029604404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00041780426,0.00036488168,0.00012611209,0.00030287012,0.00011997491,6.965499e-7,0.0040601483,0.00004132729,0.0045216577,0.98511446,0.001233437,0.0036966347],"study_design_scores_gemma":[0.0009720989,0.0001626442,0.00010952508,0.00010739815,0.00019112225,0.00013296345,0.0023191178,0.0020286757,0.04169089,0.9513621,0.00068319653,0.00024031693],"about_ca_topic_score_codex":2.999398e-7,"about_ca_topic_score_gemma":1.8593884e-7,"teacher_disagreement_score":0.57334757,"about_ca_system_score_codex":0.00011959879,"about_ca_system_score_gemma":0.00007138653,"threshold_uncertainty_score":0.84666866},"labels":[],"label_agreement":null},{"id":"W2066508343","doi":"10.1016/j.jat.2012.05.009","title":"Interpolation and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>-approximation by trigonometric polynomials and blending functions","year":2012,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Interpolation (computer graphics); Scroll; Artificial intelligence; Computer science; Theology; Philosophy","score_opus":0.021517974839579238,"score_gpt":0.2547537520609279,"score_spread":0.23323577722134864,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2066508343","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.786774,0.0021798688,0.030587608,0.0006276932,0.0019312225,0.00008025243,0.00023231699,0.00011377951,0.17747329],"genre_scores_gemma":[0.9877788,0.0010234296,0.007595434,0.00048029496,0.0015794756,0.0003034855,0.0005327774,0.00032920498,0.00037713925],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9935964,0.0007511022,0.0021163698,0.0007906753,0.0015261017,0.001219395],"domain_scores_gemma":[0.9917589,0.002475771,0.00382118,0.0009919759,0.00021429444,0.0007379065],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0054306155,0.00060871226,0.0003710709,0.00093045365,0.0012968809,0.0011821019,0.0008269813,0.0013476149,0.1261741],"category_scores_gemma":[0.003123677,0.0009902341,0.0008939621,0.0010682975,0.00096259476,0.0034703992,0.00059516483,0.0012337967,0.00044224533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0018357196,0.00040510736,0.000025770982,0.0015063763,0.0011378581,0.00006553704,0.005976083,0.0004288982,0.0055383136,0.90864813,0.07017248,0.004259708],"study_design_scores_gemma":[0.0022914724,0.0012695106,0.00010569563,0.0013550147,0.0017860776,0.0014329822,0.008988874,0.14173016,0.83527,0.0035324546,0.0011113015,0.0011264628],"about_ca_topic_score_codex":0.00009537744,"about_ca_topic_score_gemma":0.000055921388,"teacher_disagreement_score":0.9051157,"about_ca_system_score_codex":0.000031232878,"about_ca_system_score_gemma":0.0006342353,"threshold_uncertainty_score":0.99994886},"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,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_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","score_opus":0.04348682330195442,"score_gpt":0.31716999876970275,"score_spread":0.27368317546774834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2072513946","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20911221,0.00018142888,0.7660119,0.00017445885,0.00040616764,0.00033275702,0.0000031551958,0.00008227742,0.023695674],"genre_scores_gemma":[0.7547282,0.000012783143,0.24426581,0.000101257574,0.00012235632,0.000010048737,0.0000013675174,0.000036477024,0.00072170043],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9967834,0.0010656259,0.0011880847,0.00017323218,0.0005113368,0.00027836207],"domain_scores_gemma":[0.9961361,0.0013347613,0.0016967279,0.0002955755,0.00040822753,0.00012860725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007597344,0.00023551733,0.00047637374,0.0002755534,0.00020402865,0.00008733723,0.0003001982,0.00013228953,0.0004642929],"category_scores_gemma":[0.0057332506,0.00018390249,0.00022789306,0.00029862177,0.0001198774,0.0007996736,0.00002396959,0.0003850384,0.000028405088],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008640633,0.00016572535,0.00004640164,0.000114995084,0.00008763497,0.000009408692,0.0036674659,0.00010352318,0.0041756076,0.98869437,0.0002796312,0.0025688596],"study_design_scores_gemma":[0.00081310933,0.00009236268,0.000027160853,0.000111319096,0.00006458503,0.00024245356,0.0031936376,0.00063599844,0.029994,0.963976,0.000641814,0.00020750836],"about_ca_topic_score_codex":4.959426e-7,"about_ca_topic_score_gemma":2.6675775e-7,"teacher_disagreement_score":0.545616,"about_ca_system_score_codex":0.000099521974,"about_ca_system_score_gemma":0.00010961409,"threshold_uncertainty_score":0.7499326},"labels":[],"label_agreement":null},{"id":"W2076030688","doi":"10.1007/bf03321117","title":"Cases of Equality for Refinements of Bernstein’s Inequality","year":2006,"lang":"en","type":"article","venue":"Computational Methods and Function Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Monomial; Bernstein polynomial; Degree (music); Prime (order theory); Combinatorics; Polynomial; Inequality; Class (philosophy); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.12309012562487917,"score_gpt":0.43024059315547264,"score_spread":0.3071504675305935,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2076030688","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18165004,0.000100964186,0.8170746,0.000041978914,0.00008186383,0.00017808138,0.000052780935,0.000018092425,0.0008016082],"genre_scores_gemma":[0.5837676,0.0000011476901,0.41594195,0.000025205825,0.000033759006,0.000017613018,0.000026960011,0.0000059291324,0.00017984671],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99848163,0.0006718233,0.00048849656,0.00014591446,0.00013418877,0.00007796851],"domain_scores_gemma":[0.99434525,0.0048738355,0.00039894565,0.00010801442,0.000252385,0.000021556873],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0039412263,0.000089509886,0.00024323764,0.00006682487,0.000077467645,0.0000064263963,0.000048818154,0.00005215835,0.00006508507],"category_scores_gemma":[0.0008860012,0.000077211735,0.00007327084,0.000091940616,0.00015247909,0.00008186109,0.000022651191,0.000038937673,3.0001823e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030323016,0.00010288081,0.00030111498,0.00030394696,0.000035909827,7.5973986e-8,0.00014775024,0.00033248297,0.0013251518,0.98062,0.00004880761,0.01647863],"study_design_scores_gemma":[0.00041277971,0.00013856376,0.0016630432,0.000025065778,0.00005194454,0.0000026675386,0.0003504186,0.0015920276,0.0047682156,0.99078006,0.00014009645,0.00007512974],"about_ca_topic_score_codex":0.000015083246,"about_ca_topic_score_gemma":0.0000015987963,"teacher_disagreement_score":0.40211755,"about_ca_system_score_codex":0.000011164246,"about_ca_system_score_gemma":0.000027090638,"threshold_uncertainty_score":0.3148603},"labels":[],"label_agreement":null},{"id":"W2085460832","doi":"10.1016/j.jat.2008.02.004","title":"Nearly monotone and nearly convex approximation by smooth splines in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>, <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn>0</mml:mn></mml:math>","year":2008,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta; University of Manitoba","funders":"","keywords":"Mathematics; Monotone polygon; Smoothness; Regular polygon; Spline (mechanical); Moduli; Convex function; Combinatorics; Mathematical analysis; Applied mathematics; Geometry","score_opus":0.02060331519807382,"score_gpt":0.24460254567900738,"score_spread":0.22399923048093356,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085460832","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8429686,0.0022971795,0.008111467,0.001070961,0.0029228465,0.0001922219,0.0005641009,0.00044335646,0.14142926],"genre_scores_gemma":[0.9747214,0.0029302982,0.012465038,0.0019411227,0.0028567377,0.0016155567,0.0014449203,0.0014532475,0.0005717336],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.98190194,0.0014404354,0.005166132,0.0027913353,0.004995443,0.003704688],"domain_scores_gemma":[0.98280495,0.0036025066,0.007672248,0.0033779459,0.0006267788,0.0019155685],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.007930326,0.0019517,0.0010625385,0.0014339413,0.003237077,0.0032301012,0.0035204554,0.0045443927,0.09444883],"category_scores_gemma":[0.0038670641,0.0033536109,0.0029797917,0.0022604524,0.0035831719,0.005552312,0.0022300417,0.0038962874,0.0025083006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.005805665,0.0010048616,0.000018309434,0.0031679554,0.0025784501,0.0016733805,0.0093612755,0.003185487,0.006502621,0.8829651,0.081332654,0.0024042618],"study_design_scores_gemma":[0.005684438,0.002749091,0.000073477735,0.002814774,0.002408165,0.0046839477,0.0067855706,0.26347935,0.6993471,0.0071838545,0.0020154852,0.0027747494],"about_ca_topic_score_codex":0.0010698312,"about_ca_topic_score_gemma":0.0005164401,"teacher_disagreement_score":0.87578124,"about_ca_system_score_codex":0.00007481509,"about_ca_system_score_gemma":0.0031810366,"threshold_uncertainty_score":0.99932265},"labels":[],"label_agreement":null},{"id":"W2085751611","doi":"10.1016/j.amc.2014.08.015","title":"On the approximation by operators of Bernstein–Stancu types","year":2014,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Bernstein polynomial; Mathematics; Pointwise; Baskakov operator; Smoothness; Type (biology); Inverse; Equioscillation theorem; Operator theory; Pure mathematics; Applied mathematics; Mathematical analysis; Orthogonal polynomials; Classical orthogonal polynomials; Gegenbauer polynomials; Microlocal analysis; Fourier integral operator","score_opus":0.019450284815550417,"score_gpt":0.25872400328837675,"score_spread":0.23927371847282633,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2085751611","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48777187,0.000012651296,0.49789557,0.00022235961,0.000023032051,0.0003617642,0.0000040117266,0.000044271896,0.0136644775],"genre_scores_gemma":[0.95783347,0.0000047165813,0.041929096,0.00010126836,0.00001575974,0.00003729395,0.000009646672,0.000016240434,0.000052522773],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992106,0.00003481741,0.0003016567,0.00013810473,0.00021489999,0.00009991875],"domain_scores_gemma":[0.99848044,0.0010164132,0.00025417804,0.00016546939,0.000054852226,0.000028662182],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00067837373,0.0001263789,0.00019857626,0.0000387848,0.00012804123,0.00004020034,0.00010013723,0.000055466113,0.000021927697],"category_scores_gemma":[0.00015191096,0.00008392236,0.000026923006,0.00011141045,0.000088583656,0.000049995462,0.000022983939,0.00007578567,0.000011393575],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006973864,0.000071916205,0.0000010163888,0.00013764198,0.000014073888,2.6417236e-8,0.0015878816,0.00010858059,0.002517878,0.9906981,0.00063513464,0.0042207674],"study_design_scores_gemma":[0.0001823866,0.00005166398,0.0000023224995,0.00004197599,0.000021314858,0.0000010872576,0.00074958097,0.051721286,0.011846365,0.93522257,0.00006250986,0.000096914584],"about_ca_topic_score_codex":0.0000010225564,"about_ca_topic_score_gemma":6.219349e-7,"teacher_disagreement_score":0.47006157,"about_ca_system_score_codex":0.00001032345,"about_ca_system_score_gemma":0.000007871058,"threshold_uncertainty_score":0.34222543},"labels":[],"label_agreement":null},{"id":"W2086113085","doi":"10.1002/mana.200610812","title":"Approximation by rational operators in <i>L<sup>p</sup></i> spaces","year":2009,"lang":"en","type":"article","venue":"Mathematische Nachrichten","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Converse; Pure mathematics; Type (biology); Equivalence (formal languages); Smoothness; Mathematical analysis; Algebra over a field; Geometry","score_opus":0.02243347231864593,"score_gpt":0.28178560615921044,"score_spread":0.2593521338405645,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086113085","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8661078,0.00061082694,0.07135456,0.0044181035,0.00007721098,0.00167523,0.000060987204,0.0005821212,0.055113114],"genre_scores_gemma":[0.95016855,0.000023856832,0.046072517,0.00057200796,0.00010476423,0.00011981854,0.000076769924,0.00004300417,0.002818699],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99762833,0.000226089,0.0007108142,0.00043604258,0.0005679787,0.00043077327],"domain_scores_gemma":[0.9987811,0.0003052613,0.00027617236,0.00041951725,0.00009988492,0.00011808136],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0012574441,0.00035355645,0.00049398385,0.00021531983,0.00018090196,0.00017287712,0.00038860925,0.00020817816,0.00041758898],"category_scores_gemma":[0.0005844913,0.00030391288,0.00010408971,0.0006047645,0.0000831738,0.0008484852,0.000041300336,0.00031086628,0.00016705884],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006466052,0.00084431947,0.00023971313,0.00018966878,0.000050880415,0.000014238194,0.009047711,0.0005714338,0.0076962593,0.93169856,0.045399413,0.004183154],"study_design_scores_gemma":[0.0015472823,0.00017423109,0.00010342523,0.00021090041,0.000051863262,0.000051401785,0.002974196,0.041035388,0.015637085,0.9348078,0.002595702,0.0008107546],"about_ca_topic_score_codex":0.00000892069,"about_ca_topic_score_gemma":0.0000029356463,"teacher_disagreement_score":0.08406072,"about_ca_system_score_codex":0.00009176923,"about_ca_system_score_gemma":0.00006135812,"threshold_uncertainty_score":0.9999413},"labels":[],"label_agreement":null},{"id":"W2086711876","doi":"10.1007/s00365-014-9270-2","title":"New Moduli of Smoothness: Weighted DT Moduli Revisited and Applied","year":2014,"lang":"en","type":"article","venue":"Constructive Approximation","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Moduli; Mathematics; Smoothness; Modular equation; Inverse; Algebraic number; Pure mathematics; Mathematical analysis; Moduli of algebraic curves; Combinatorics; Moduli space; Geometry; Physics","score_opus":0.018864215658140095,"score_gpt":0.2594948539757774,"score_spread":0.24063063831763729,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2086711876","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4021471,0.000038412105,0.5823371,0.000099297635,0.000052636828,0.000535658,0.00000926619,0.000108568725,0.014671941],"genre_scores_gemma":[0.7906933,0.0000070558217,0.20902567,0.000029700635,0.000069452726,0.000025724252,0.000021586702,0.000020779991,0.00010677682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857074,0.00015184644,0.0004799555,0.00034944955,0.00025866437,0.00018932554],"domain_scores_gemma":[0.99853235,0.00034174204,0.00048832654,0.00036263996,0.00017443836,0.00010050837],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005617425,0.00022220885,0.000444538,0.00016142245,0.00011636063,0.00003740721,0.00015227181,0.00014366533,0.0001127184],"category_scores_gemma":[0.00035072368,0.0002019148,0.00005515978,0.00031465892,0.00030304538,0.00032249535,0.00005501537,0.00013601653,0.000010228924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000054356926,0.000023836523,0.00020073619,0.00022194436,0.00003727955,1.1622491e-7,0.001194472,0.0000053193876,0.009143291,0.95177287,0.00011031813,0.037235446],"study_design_scores_gemma":[0.0008702516,0.000043629556,0.00049954763,0.000086767046,0.000059431914,0.0000116963265,0.0008156718,0.009759821,0.045446664,0.94209087,0.00008518553,0.00023044503],"about_ca_topic_score_codex":0.000005966925,"about_ca_topic_score_gemma":0.000001125296,"teacher_disagreement_score":0.38854614,"about_ca_system_score_codex":0.000032305386,"about_ca_system_score_gemma":0.00004164743,"threshold_uncertainty_score":0.8233846},"labels":[],"label_agreement":null},{"id":"W2087235097","doi":"10.2298/fil1408675b","title":"On local property of absolute summability of factored Fourier series","year":2014,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Mathematics; Absolute (philosophy); Fourier series; Series (stratigraphy); Pure mathematics; Property (philosophy); Class (philosophy); Local property; Mathematical analysis","score_opus":0.034176702054517075,"score_gpt":0.27877333503907736,"score_spread":0.2445966329845603,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2087235097","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9728521,0.0000035797518,0.01486208,0.00017622404,0.00006468987,0.00022745326,0.00003174478,0.000052237876,0.01172987],"genre_scores_gemma":[0.9922527,8.8376265e-7,0.006393433,0.000017533814,0.000014777278,0.000008914754,0.000004358035,0.000010226314,0.0012971793],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916583,0.00011729276,0.00028450385,0.00012459431,0.00019622015,0.00011156643],"domain_scores_gemma":[0.9990504,0.0002827192,0.00018212288,0.0003651786,0.00008563473,0.000033965935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004433146,0.000097589,0.00025580195,0.000029806271,0.000035067016,0.000005135905,0.00012950487,0.000066993634,0.00041588288],"category_scores_gemma":[0.0006480428,0.000058847578,0.000066829896,0.00006375732,0.00026457384,0.000116545714,0.000029452334,0.00006168886,0.000018231303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00032407357,0.00026648486,0.00043582352,0.0008797807,0.000045083558,7.334579e-7,0.0024676,0.000045648234,0.0036013983,0.9859347,0.0022320522,0.0037666678],"study_design_scores_gemma":[0.00031263355,0.00036007594,0.0013018828,0.000100010824,0.000018918614,0.0000025550512,0.00035674527,0.001796263,0.10072665,0.89388466,0.0009972522,0.00014235351],"about_ca_topic_score_codex":0.000013064852,"about_ca_topic_score_gemma":0.0000113246115,"teacher_disagreement_score":0.097125255,"about_ca_system_score_codex":0.00001729773,"about_ca_system_score_gemma":0.0000203155,"threshold_uncertainty_score":0.45536262},"labels":[],"label_agreement":null},{"id":"W2089973575","doi":"10.1090/s0002-9947-09-04846-6","title":"Boundedness of projection operators and Cesàro means in weighted 𝐿^{𝑝} space on the unit sphere","year":2009,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Unit sphere; Projection (relational algebra); Unit (ring theory); Space (punctuation); Pure mathematics; Mathematical analysis; Algorithm","score_opus":0.025963015065964185,"score_gpt":0.28612161902470323,"score_spread":0.260158603958739,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2089973575","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9203006,0.000048165915,0.06940537,0.006803226,0.00006825132,0.0011253337,0.00004293533,0.000040765604,0.0021653224],"genre_scores_gemma":[0.9876627,0.00013347322,0.011226088,0.00021068781,0.00002124236,0.000027719068,6.9191816e-7,0.000026191678,0.0006912107],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976194,0.00053674437,0.00073170353,0.00028858395,0.0005052622,0.00031834026],"domain_scores_gemma":[0.99734735,0.0011155426,0.0006638468,0.00067213585,0.00012658632,0.00007452844],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011073857,0.0003236506,0.0007228909,0.000049645758,0.00035528606,0.000046891404,0.00046087452,0.00013128342,0.0002651972],"category_scores_gemma":[0.0001747268,0.0001904783,0.00041151713,0.0012793675,0.0018731501,0.00016296009,0.000018595128,0.00059564237,0.000007257443],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00038698455,0.0037057602,0.00023181473,0.0015862815,0.0005883432,0.0000012136519,0.08592393,0.00059345446,0.0068188272,0.8924246,0.00033211242,0.0074067144],"study_design_scores_gemma":[0.001121484,0.0011656013,0.001156889,0.0015962899,0.0006323856,0.000027416629,0.1462351,0.046044003,0.03141461,0.7698868,0.000097696095,0.0006217482],"about_ca_topic_score_codex":0.000103643055,"about_ca_topic_score_gemma":0.000026990703,"teacher_disagreement_score":0.12253778,"about_ca_system_score_codex":0.00008984833,"about_ca_system_score_gemma":0.00013192,"threshold_uncertainty_score":0.776748},"labels":[],"label_agreement":null},{"id":"W2094860359","doi":"10.1007/s11253-010-0362-2","title":"Are the degrees of the best (co)convex and unconstrained polynomial approximations the same? II","year":2010,"lang":"en","type":"article","venue":"Ukrainian Mathematical Journal","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Combinatorics; Mathematics; Convexity; Regular polygon; Polynomial; Function (biology); Mathematical analysis; Geometry","score_opus":0.04965182327441713,"score_gpt":0.3092710009963794,"score_spread":0.25961917772196225,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2094860359","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9711634,0.000041886586,0.0029432117,0.018323954,0.0002500662,0.00060807395,0.000030577405,0.000033564378,0.0066052927],"genre_scores_gemma":[0.98572123,0.0000064261676,0.012877818,0.0003235515,0.00035127666,0.000024717947,4.7941796e-7,0.000026814005,0.00066769146],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979617,0.00032236686,0.00071744295,0.00016492738,0.0005102607,0.00032332537],"domain_scores_gemma":[0.996241,0.0019422428,0.00089383486,0.00062458677,0.00015687477,0.00014147148],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.002409829,0.00023991951,0.00037639486,0.000058678386,0.0014546002,0.00018710265,0.00084472395,0.00015217168,0.00048611118],"category_scores_gemma":[0.0035366067,0.000100423866,0.00022841462,0.00020333655,0.0019343329,0.00018255867,0.00015926154,0.00113827,0.000021505582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003845913,0.0003852804,0.00053930236,0.00019542023,0.00020013974,0.000006877437,0.04542181,0.000010618733,0.003055515,0.94560516,0.0013070724,0.0032343322],"study_design_scores_gemma":[0.0007855539,0.000086224565,0.0007266339,0.00028972002,0.00024051037,0.0018657625,0.02878422,0.0035130428,0.0015498421,0.95935625,0.0024937156,0.0003085213],"about_ca_topic_score_codex":0.0000017739773,"about_ca_topic_score_gemma":0.000028025699,"teacher_disagreement_score":0.018000403,"about_ca_system_score_codex":0.000016511318,"about_ca_system_score_gemma":0.00012165229,"threshold_uncertainty_score":0.9998454},"labels":[],"label_agreement":null},{"id":"W2106960179","doi":"10.1017/s0305004108001710","title":"On moduli of smoothness of<i>k</i>-monotone functions and applications","year":2008,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Smoothness; Moduli; Monotone polygon; Mathematics; Combinatorics; Pure mathematics; Set (abstract data type); Discrete mathematics; Mathematical analysis; Physics; Geometry; Computer science","score_opus":0.039315216985914496,"score_gpt":0.26761215282809725,"score_spread":0.22829693584218275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2106960179","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95639527,0.00003619526,0.020145189,0.0029729842,0.000050617396,0.0010476876,0.000059799102,0.000069115435,0.019223157],"genre_scores_gemma":[0.990645,0.00001391164,0.008796404,0.00007425247,0.00011267135,0.00009287901,0.000001116714,0.00002278371,0.00024098063],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99844563,0.000016186332,0.00064451725,0.00024579014,0.00047242377,0.00017547981],"domain_scores_gemma":[0.9982837,0.0005806385,0.00050271314,0.0002494155,0.00029551372,0.00008804542],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00049288524,0.00019214365,0.0005259195,0.00003257501,0.00020623936,0.0000066958028,0.0003463857,0.00016220314,0.000019591336],"category_scores_gemma":[0.00047892777,0.00012996393,0.0003368658,0.0003628215,0.001379879,0.00011496687,0.00015452738,0.0002685424,0.0000035433432],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032280943,0.0004562296,0.00008153627,0.0010295127,0.000065023,5.904082e-8,0.00063250394,0.0000054557645,0.004735765,0.99198526,0.00093539286,0.000040963765],"study_design_scores_gemma":[0.00032197146,0.000089893874,0.00012303678,0.00015882812,0.00008748005,0.000019878786,0.00038369035,0.0014388622,0.012472129,0.9847483,0.000026572487,0.00012933934],"about_ca_topic_score_codex":0.0000010812489,"about_ca_topic_score_gemma":1.6006833e-8,"teacher_disagreement_score":0.034249745,"about_ca_system_score_codex":0.000024779669,"about_ca_system_score_gemma":0.000025313975,"threshold_uncertainty_score":0.5299775},"labels":[],"label_agreement":null},{"id":"W2116245067","doi":"10.1007/978-1-4614-6660-4_4","title":"Approximation on the Sphere","year":2013,"lang":"en","type":"book-chapter","venue":"Springer monographs in mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Smoothness; Mathematics; Simple (philosophy); Function (biology); Minimax approximation algorithm; Function approximation; Characterization (materials science); Pure mathematics; Mathematical analysis; Applied mathematics; Computer science; Physics; Artificial neural network","score_opus":0.061560244476822304,"score_gpt":0.2721836391310973,"score_spread":0.210623394654275,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2116245067","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0043826774,0.00015654872,0.002797868,0.0005142544,0.00021317007,0.0020625333,0.000021847869,0.00025410223,0.989597],"genre_scores_gemma":[0.021407967,0.0006149976,0.1430243,0.0005691149,0.00048500943,0.0009463521,0.000053081618,0.0006853685,0.8322138],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99737334,0.00006992768,0.0009988447,0.00047367296,0.0006717306,0.00041250727],"domain_scores_gemma":[0.9962879,0.0013323234,0.0008450719,0.0013340716,0.00011619238,0.00008443917],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001220608,0.0006720279,0.00073385634,0.00034719662,0.00017890945,0.00015198962,0.0007449357,0.0005450536,0.0031531327],"category_scores_gemma":[0.00034933144,0.0004641491,0.0003504384,0.00014639358,0.00030977378,0.00016678599,0.00013108781,0.0010030332,0.001093705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000065380855,0.00009262947,0.0000036007953,0.00042504165,0.000077590645,0.0000056641525,0.0015673459,0.000008227232,0.000012170983,0.9922345,0.0044115055,0.0011551295],"study_design_scores_gemma":[0.0001537727,0.00004634307,0.0000028572501,0.0010878652,0.000063200954,0.000006088063,0.0005625534,0.0009932688,0.00020149586,0.9897431,0.0066381022,0.0005013619],"about_ca_topic_score_codex":0.0000023865728,"about_ca_topic_score_gemma":0.000011988567,"teacher_disagreement_score":0.15738317,"about_ca_system_score_codex":0.00010383563,"about_ca_system_score_gemma":0.000044799785,"threshold_uncertainty_score":0.999781},"labels":[],"label_agreement":null},{"id":"W2127741921","doi":"10.1155/jia/2006/67062","title":"Matrix transformations and generators of analytic semigroups","year":2006,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Agence Universitaire de la Francophonie","keywords":"Mathematics; Semigroup; Relation (database); Algebra over a field; Operator (biology); Matrix (chemical analysis); Set (abstract data type); Pure mathematics; Discrete mathematics","score_opus":0.02205432662861426,"score_gpt":0.30466692604076245,"score_spread":0.28261259941214817,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2127741921","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.86216205,0.000857725,0.13531908,0.00048216784,0.000011198724,0.00013835129,0.000037107886,0.00000937979,0.0009829233],"genre_scores_gemma":[0.98800117,0.00020770474,0.011480224,0.000018117524,0.000098272845,0.000011081766,0.000003092592,0.000005473606,0.00017485698],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992184,0.00003428699,0.00052263733,0.000046086934,0.000112327805,0.0000662729],"domain_scores_gemma":[0.99919486,0.00020598245,0.00035852072,0.00007637177,0.00012750358,0.000036755933],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003410487,0.00006525541,0.0001878018,0.00009732246,0.00008889729,0.000023140266,0.00005658545,0.00003510354,0.00001937986],"category_scores_gemma":[0.000024377377,0.00005102744,0.000046706096,0.00011746002,0.00009050421,0.00017336168,0.0000072071125,0.00006573173,3.350956e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000051444636,0.000039799306,0.00036624272,0.00013093596,0.000018636485,2.07698e-7,0.00072688604,0.000037201007,0.0011939693,0.9966559,0.00030637265,0.000518745],"study_design_scores_gemma":[0.00030513533,0.000056389843,0.00023108546,0.000045367033,0.00008984867,0.000064580774,0.007588728,0.0003553345,0.0040379227,0.9848494,0.00227937,0.00009685237],"about_ca_topic_score_codex":0.000013224905,"about_ca_topic_score_gemma":0.000008835832,"teacher_disagreement_score":0.12583911,"about_ca_system_score_codex":0.000009114881,"about_ca_system_score_gemma":0.000023935032,"threshold_uncertainty_score":0.20808387},"labels":[],"label_agreement":null},{"id":"W2145235217","doi":"10.1007/s11766-009-2076-5","title":"Copositive approximation by rational functions with prescribed numerator degree","year":2009,"lang":"en","type":"article","venue":"Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Degree (music); Combinatorics; Omega; Mathematics; Sign (mathematics); Rational function; Function (biology); Constant (computer programming); Natural number; Type (biology); Physics; Mathematical analysis; Computer science","score_opus":0.01581473761902943,"score_gpt":0.24342508286133901,"score_spread":0.22761034524230958,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2145235217","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2370776,0.00013198695,0.6569466,0.00071467296,0.00018904217,0.0021216243,0.00011003837,0.0003935563,0.102314904],"genre_scores_gemma":[0.6660045,0.000021071763,0.33114833,0.00021110389,0.00029436545,0.00006302082,0.000095748204,0.00015989861,0.0020019715],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9943453,0.00009885172,0.0021356225,0.000675337,0.001830259,0.0009145956],"domain_scores_gemma":[0.99273926,0.001677639,0.0031634236,0.00096969603,0.00095294166,0.00049705233],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0017543497,0.0011804576,0.0018936493,0.0008289965,0.0009235825,0.00042561817,0.001141012,0.0004478432,0.0005372295],"category_scores_gemma":[0.00025220087,0.0009386721,0.00043391465,0.0011295958,0.00048988307,0.001356157,0.0001366097,0.0010848328,0.00008949185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00075132964,0.0025748454,0.0000058105798,0.0010151537,0.0009956268,0.00005577224,0.028328918,0.0004133668,0.029559257,0.9279694,0.0074742013,0.00085632177],"study_design_scores_gemma":[0.0065743225,0.0008973921,0.000021886182,0.0008944269,0.0013712511,0.0007302904,0.05026517,0.0055139307,0.019664427,0.9115289,0.000621372,0.0019166326],"about_ca_topic_score_codex":0.0000041979615,"about_ca_topic_score_gemma":0.000008558545,"teacher_disagreement_score":0.4289269,"about_ca_system_score_codex":0.00065642275,"about_ca_system_score_gemma":0.0006332418,"threshold_uncertainty_score":0.9993064},"labels":[],"label_agreement":null},{"id":"W2198179822","doi":"10.5539/mas.v10n1p65","title":"The Multi Ideal Convergence of Difference Strongly of X2 in P-Metric Spaces Defined by Modulus","year":2015,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Ideal (ethics); Mathematics; Convergence (economics); Modulus; Metric space; Sequence (biology); Metric (unit); Pure mathematics; Space (punctuation); Class (philosophy); Operator (biology); Topology (electrical circuits); Discrete mathematics; Combinatorics; Computer science; Geometry; Chemistry; Artificial intelligence","score_opus":0.06217610223165841,"score_gpt":0.3062739230360499,"score_spread":0.24409782080439146,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2198179822","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.785015,0.0001539515,0.21242149,0.00006294746,0.000072967545,0.000287307,0.00001036822,0.000023013989,0.0019529307],"genre_scores_gemma":[0.9873503,0.000012953372,0.01234008,0.000008287517,0.000004486478,0.000027266253,7.062835e-7,0.0000073133538,0.00024862372],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99818844,0.000052650237,0.00041240462,0.00029804654,0.0007243267,0.0003241306],"domain_scores_gemma":[0.9985776,0.00036983786,0.00034235502,0.0004196555,0.00018604775,0.000104517734],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001980987,0.0001367503,0.00026714578,0.0001491571,0.00012506082,0.000036838497,0.00086049415,0.000050391267,0.0000043340415],"category_scores_gemma":[0.0009137576,0.0000948078,0.000025936604,0.0011501791,0.0012826876,0.00014757438,0.00014481942,0.00012352965,0.000004567801],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011205465,0.00030527153,0.002302852,0.00007486945,0.000008722774,6.136402e-7,0.0074951015,0.0009607215,0.40365127,0.58077145,0.00016051899,0.0041565695],"study_design_scores_gemma":[0.000827222,0.00008517273,0.0013286945,0.000030178484,0.000009935355,0.0000015995636,0.00343493,0.34138343,0.123961985,0.52868056,0.000022008591,0.00023426846],"about_ca_topic_score_codex":0.00007147385,"about_ca_topic_score_gemma":0.000048948736,"teacher_disagreement_score":0.3404227,"about_ca_system_score_codex":0.00006327975,"about_ca_system_score_gemma":0.00024238043,"threshold_uncertainty_score":0.47261164},"labels":[],"label_agreement":null},{"id":"W2254262451","doi":"10.1016/j.amc.2015.05.108","title":"Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems","year":2015,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Convergence (economics); Type (biology); Mathematics; Rate of convergence; Applied mathematics; Dominated convergence theorem; Convergence tests; Discrete mathematics; Algorithm; Computer science; Key (lock)","score_opus":0.05316180792724922,"score_gpt":0.3081661454758407,"score_spread":0.2550043375485915,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2254262451","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.51980186,0.0001375406,0.4762983,0.00009159454,0.00004712386,0.00031196023,0.0000057270463,0.00006993528,0.0032359809],"genre_scores_gemma":[0.76618326,0.00004986127,0.23361616,0.000044430468,0.000021942835,0.000013611493,0.000012513624,0.000015942003,0.00004228615],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991707,0.000027034086,0.0002679932,0.00021531146,0.00017716274,0.00014178982],"domain_scores_gemma":[0.99904114,0.0004957752,0.00013773475,0.0001044876,0.00008506899,0.00013577638],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005528476,0.0001541314,0.00023910966,0.00004617625,0.00010115167,0.00008053291,0.00005007114,0.00007263264,0.000018968913],"category_scores_gemma":[0.00011624819,0.00012951645,0.000008547875,0.000091660346,0.0002094072,0.00008857585,0.00005989702,0.00008457402,0.000010990006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024238176,0.000045570025,0.000026290973,0.00019811184,0.000015964652,0.0000015392155,0.0034777431,0.000005014663,0.00028119187,0.9874644,0.00021055902,0.0082493555],"study_design_scores_gemma":[0.0004086215,0.00006769342,0.000049623264,0.000025053952,0.000036584326,0.000024607285,0.0020507048,0.057005003,0.0002755985,0.9398259,0.000073699994,0.00015691767],"about_ca_topic_score_codex":0.0000036804183,"about_ca_topic_score_gemma":0.0000020256,"teacher_disagreement_score":0.24638142,"about_ca_system_score_codex":0.000013777733,"about_ca_system_score_gemma":0.000028241662,"threshold_uncertainty_score":0.52815276},"labels":[],"label_agreement":null},{"id":"W2259440843","doi":"10.5539/mas.v10n1p171","title":"The Random of Lacunary Statistical on Γ3 Over P-Metric Spaces Defined by Musielak Orlicz Functions","year":2015,"lang":"en","type":"article","venue":"Modern Applied Science","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Lacunary function; Mathematics; Metric (unit); Metric space; Pure mathematics; Statistics; Business","score_opus":0.04432321596214215,"score_gpt":0.3046431363139041,"score_spread":0.26031992035176194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2259440843","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22240837,0.00007185938,0.71199954,0.00043116926,0.00019467968,0.00053517846,0.000058248235,0.00010124427,0.06419974],"genre_scores_gemma":[0.992238,0.0000049310147,0.0066055967,0.00008815069,0.000022149226,0.000046130153,0.0000039394604,0.0000108906215,0.0009802171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99824774,0.000068905945,0.00026791042,0.00030013613,0.00081535906,0.0002999587],"domain_scores_gemma":[0.9975265,0.0016368461,0.00016929893,0.00040894336,0.000109373694,0.00014902075],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022207012,0.00013813033,0.00020362198,0.00012530114,0.00042771027,0.000102589314,0.0004345805,0.000054315056,0.000041171214],"category_scores_gemma":[0.0013637583,0.00008759299,0.00003242841,0.00079537823,0.0011207605,0.00014262834,0.00008720663,0.00016046257,0.000054133307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003008618,0.000178186,0.0000247971,0.000015639545,0.000011565205,8.990924e-7,0.0016574317,0.00026261105,0.01930763,0.9638555,0.010902451,0.0034824233],"study_design_scores_gemma":[0.0014596616,0.0001388086,0.00008911503,0.000011721771,0.000029313758,0.0000037317752,0.0016294629,0.05299629,0.004342393,0.9371989,0.0018786256,0.00022201228],"about_ca_topic_score_codex":0.000010018417,"about_ca_topic_score_gemma":0.0000076381,"teacher_disagreement_score":0.76982963,"about_ca_system_score_codex":0.00006166293,"about_ca_system_score_gemma":0.00017526592,"threshold_uncertainty_score":0.41294888},"labels":[],"label_agreement":null},{"id":"W2276347538","doi":"10.48550/arxiv.1602.07313","title":"Yet another look at positive linear operators, $q$-monotonicity and applications","year":2016,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Omega; Monotonic function; Lambda; Combinatorics; Mathematics; Polynomial; Monotone polygon; Smoothness; Physics; Mathematical analysis; Geometry; Quantum mechanics","score_opus":0.06274570170975895,"score_gpt":0.22521025245254955,"score_spread":0.1624645507427906,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2276347538","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67522115,0.00007702589,0.30736738,0.00020313216,0.00009025838,0.0012340416,0.00030988228,0.0002263533,0.0152707845],"genre_scores_gemma":[0.98668164,0.00016780097,0.0011807112,0.000115780254,0.000087014414,0.000010375617,0.00002730003,0.000037413505,0.011691955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867445,0.00016044335,0.00018278106,0.00068995747,0.00006309329,0.0002292594],"domain_scores_gemma":[0.9985522,0.00029739484,0.00024742476,0.0006564299,0.00013476038,0.00011178026],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002518525,0.0002863773,0.00032902358,0.000107385014,0.00026051083,0.00003247389,0.0003641162,0.00032218508,0.0002231487],"category_scores_gemma":[0.000049965063,0.0002622035,0.000110365836,0.00013281712,0.0003295428,0.00016397303,0.0006888339,0.00028100252,0.00013671759],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000078260935,0.00008794662,0.0011171646,0.00012448462,0.00013454523,0.000025585183,0.0004761404,0.0003714297,0.0003669431,0.99676806,0.00033889877,0.00011054191],"study_design_scores_gemma":[0.00056543405,0.000037302958,0.00011905733,0.0001810103,0.00017809827,0.0000074736563,0.00027125323,0.0048967814,0.004877953,0.98670816,0.001587281,0.0005701916],"about_ca_topic_score_codex":0.000015535335,"about_ca_topic_score_gemma":0.00002546333,"teacher_disagreement_score":0.3114605,"about_ca_system_score_codex":0.00022631188,"about_ca_system_score_gemma":0.000090954134,"threshold_uncertainty_score":0.999983},"labels":[],"label_agreement":null},{"id":"W2299931474","doi":"10.3233/ifs-151858","title":"Generalized statistically convergent sequences of fuzzy numbers","year":2016,"lang":"en","type":"article","venue":"Journal of Intelligent & Fuzzy Systems","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Fuzzy logic; Cauchy distribution; Fuzzy number; Object (grammar); Cauchy sequence; Pure mathematics; Applied mathematics; Discrete mathematics; Fuzzy set; Artificial intelligence; Mathematical analysis; Computer science","score_opus":0.053660055661599586,"score_gpt":0.3232235549084178,"score_spread":0.2695634992468182,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2299931474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72510254,0.0014176173,0.26394314,0.0007610157,0.0025949099,0.0005393015,0.000079303776,0.00004501032,0.0055171875],"genre_scores_gemma":[0.986575,0.00045157896,0.011192897,0.0000323998,0.00026459282,0.000008160635,0.000001004369,0.000025312997,0.001449071],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.996642,0.00043374317,0.0017331848,0.00016122407,0.00075864216,0.00027122902],"domain_scores_gemma":[0.99596184,0.00096976134,0.0017915245,0.0002718422,0.00079836603,0.00020666605],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020406907,0.0002164876,0.0007063531,0.00017339195,0.00005844178,0.000040335468,0.0004168057,0.00011381115,0.00046226665],"category_scores_gemma":[0.00088282133,0.00012392567,0.00025083663,0.0001480977,0.00023144855,0.0002712521,0.000033131266,0.00014093956,0.00006416248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028442655,0.00018712018,0.0008275833,0.00045562346,0.000339869,0.00006492409,0.0016366459,0.000097439435,0.036998596,0.95055664,0.006944401,0.0016067418],"study_design_scores_gemma":[0.0015422018,0.0010864928,0.000052681655,0.0027362083,0.00029561674,0.0007789088,0.008785,0.00020477675,0.14885378,0.8281481,0.0068810745,0.00063511916],"about_ca_topic_score_codex":0.00003263561,"about_ca_topic_score_gemma":0.000005302135,"teacher_disagreement_score":0.26147246,"about_ca_system_score_codex":0.00015855646,"about_ca_system_score_gemma":0.00019421098,"threshold_uncertainty_score":0.5061496},"labels":[],"label_agreement":null},{"id":"W2341948999","doi":"","title":"ON A UNIFORMLY INTEGRABLE FAMILY OF POLYNOMIALS DEFINED ON THE UNIT INTERVAL","year":2007,"lang":"en","type":"article","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Monotonic function; Pointwise; Unit interval; Interval (graph theory); Integrable system; Pure mathematics; Unit (ring theory); Orthogonal polynomials; Bernstein polynomial; Discrete mathematics; Combinatorics; Mathematical analysis","score_opus":0.0893938536302431,"score_gpt":0.32847054845422874,"score_spread":0.23907669482398564,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2341948999","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7189804,0.0000034844313,0.013685111,0.00049439253,0.00005149089,0.00018085595,0.0000049034193,0.000048924103,0.26655048],"genre_scores_gemma":[0.98939824,0.000002032269,0.003229342,0.0008091103,0.000019190182,0.000005250923,0.0000018034259,0.0000121163985,0.006522917],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912465,0.00008180026,0.0003196215,0.00010733591,0.00019170291,0.0001748959],"domain_scores_gemma":[0.9974057,0.0020318294,0.0001496583,0.0003117089,0.00006364422,0.000037474954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017670649,0.00011909078,0.00018281124,0.00009239441,0.00007484799,0.000016415323,0.00023837302,0.00006493531,0.0005949441],"category_scores_gemma":[0.00081558124,0.000064042826,0.00007781224,0.00017552136,0.000104509316,0.00006203346,0.000026940641,0.00015283935,0.000084094936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00016518371,0.00008566405,0.000017122831,0.000015582193,0.000019015468,0.0000010810157,0.00061942334,0.0000042463344,0.0020496768,0.9942309,0.002104943,0.0006871196],"study_design_scores_gemma":[0.00024910318,0.00032898103,0.00008801018,0.000102781516,0.000012463288,0.0000020265006,0.0063300338,0.00013379026,0.11622633,0.87590575,0.00051309285,0.000107664695],"about_ca_topic_score_codex":0.00003786438,"about_ca_topic_score_gemma":0.000041500396,"teacher_disagreement_score":0.2704179,"about_ca_system_score_codex":0.000025263938,"about_ca_system_score_gemma":0.000027870548,"threshold_uncertainty_score":0.6514221},"labels":[],"label_agreement":null},{"id":"W2359447314","doi":"","title":"Approximation on Two-point Homogeneous Spaces","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Homogeneous; Point (geometry); Pure mathematics; Mathematical analysis; Combinatorics; Geometry","score_opus":0.025368445272728815,"score_gpt":0.3245863331894929,"score_spread":0.2992178879167641,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2359447314","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.563994,0.00087848894,0.33732718,0.0010072344,0.00043599235,0.0016069412,0.000016929316,0.0005681946,0.09416502],"genre_scores_gemma":[0.68984294,0.00025044745,0.3092131,0.000117324314,0.00008563986,0.00011446641,0.0000064401397,0.000050118007,0.00031953483],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983198,0.00006390945,0.0005606356,0.0003096452,0.00040080879,0.0003452008],"domain_scores_gemma":[0.9984846,0.000554043,0.00032799953,0.00050490146,0.00005916482,0.000069254325],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071955926,0.00027695755,0.0003843898,0.0001882778,0.00011964169,0.000059388967,0.00030400214,0.00008902272,0.00009313874],"category_scores_gemma":[0.000736032,0.00023442098,0.00008439821,0.0003458043,0.00014696858,0.0005820114,0.000044183078,0.00022710931,0.00015440772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018790544,0.00040333404,0.000018081006,0.00029209402,0.0000089052,0.000019329404,0.003310772,0.0075436444,0.00028177226,0.98554146,0.000014666438,0.0025471332],"study_design_scores_gemma":[0.00078088354,0.00009546307,0.000003961594,0.00033838904,0.000014146622,0.00003844442,0.0022308559,0.0013816439,0.010393462,0.984192,0.00025364576,0.0002770692],"about_ca_topic_score_codex":0.0000027853646,"about_ca_topic_score_gemma":0.00003560876,"teacher_disagreement_score":0.12584892,"about_ca_system_score_codex":0.00016382693,"about_ca_system_score_gemma":0.00003843444,"threshold_uncertainty_score":0.95594096},"labels":[],"label_agreement":null},{"id":"W2402205526","doi":"","title":"On Linear Positive Operators Involving Biorthogonal Polynomial.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Biorthogonal system; Mathematics; Polynomial; Pure mathematics; Linear operators; Discrete mathematics; Mathematical analysis; Computer science; Artificial intelligence","score_opus":0.0290188659574293,"score_gpt":0.29602210529867556,"score_spread":0.26700323934124626,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2402205526","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9921043,0.00008705406,0.000067627705,0.00017638686,0.0011781229,0.0002052442,0.000011304915,0.000112111986,0.0060578333],"genre_scores_gemma":[0.99758977,0.0000052148234,0.0015375087,0.00026474975,0.00004934268,0.000018001838,0.000008055657,0.00002896085,0.0004983802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988696,0.00015756206,0.00022880247,0.00017059469,0.00023166397,0.00034178875],"domain_scores_gemma":[0.9989257,0.000490477,0.00010140081,0.00025500913,0.00007139917,0.00015601292],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006214259,0.00017857812,0.00020511186,0.00008136583,0.00021225189,0.00003190171,0.0001700484,0.0001113778,0.00017756579],"category_scores_gemma":[0.0004669381,0.00015735024,0.0000740711,0.00016697518,0.000082776925,0.0003611427,0.000054486205,0.00021065837,0.00023835155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000296723,0.00020433299,0.0022337588,0.000012868825,0.000027558413,0.0000023876125,0.0013229625,0.0000010208922,0.000965114,0.99336433,0.0017442896,0.000091703754],"study_design_scores_gemma":[0.00057873724,0.00013808373,0.0007085822,0.000063543535,0.000026940903,0.0000075072708,0.0005074007,0.0001303083,0.029393656,0.9678488,0.00028836247,0.00030807478],"about_ca_topic_score_codex":0.0000059749964,"about_ca_topic_score_gemma":6.5653836e-7,"teacher_disagreement_score":0.028428543,"about_ca_system_score_codex":0.00007465947,"about_ca_system_score_gemma":0.000039111044,"threshold_uncertainty_score":0.6416556},"labels":[],"label_agreement":null},{"id":"W2475935936","doi":"10.1017/cbo9781139226752.004","title":"Some families of operators","year":2016,"lang":"he","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Content (measure theory); Computer science; Mathematics","score_opus":0.03195395126765632,"score_gpt":0.22596786015432477,"score_spread":0.19401390888666845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2475935936","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0052364683,0.00029490894,0.0014360613,0.00003705866,0.00035406728,0.0007357235,0.0010229071,0.00012336175,0.99075943],"genre_scores_gemma":[0.01626737,0.0008134628,0.0006034022,0.000039015842,0.00022637051,0.0000010263608,0.000014404348,0.000076216,0.98195875],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99786794,0.00016644267,0.00052644656,0.0005883635,0.00044846057,0.00040237166],"domain_scores_gemma":[0.997242,0.0004209638,0.00077884947,0.00095490547,0.00038477915,0.00021851188],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00033774498,0.0006184211,0.0009607397,0.000321498,0.0003064162,0.000036402802,0.0008576146,0.0006583203,0.000060602746],"category_scores_gemma":[0.00007585103,0.0005787628,0.00042185135,0.00001372917,0.0012971868,0.0003248554,0.00047908723,0.00041243853,0.00009261313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018144061,0.000026898457,0.0000025720042,0.0006777198,0.00041411203,0.00009172245,0.000489029,9.2154625e-7,0.00090292713,0.99450177,0.0020448002,0.0006660593],"study_design_scores_gemma":[0.00320109,0.00044160133,0.000008443568,0.0040375288,0.0019161047,0.000041362946,0.0030227771,0.00009390462,0.05174704,0.013979396,0.9189683,0.0025424582],"about_ca_topic_score_codex":0.000039379698,"about_ca_topic_score_gemma":8.9845497e-7,"teacher_disagreement_score":0.9805224,"about_ca_system_score_codex":0.00017946427,"about_ca_system_score_gemma":0.0002001545,"threshold_uncertainty_score":0.9996664},"labels":[],"label_agreement":null},{"id":"W2513953186","doi":"10.4153/cmb-2016-060-0","title":"Rational Function Operators from Poisson Integrals","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Poisson distribution; Function (biology); Rational function; Convergence (economics); Poisson summation formula; Construct (python library); Mathematical analysis; Pure mathematics; Applied mathematics; Algebra over a field; Statistics","score_opus":0.029502634306524805,"score_gpt":0.25734111129314213,"score_spread":0.22783847698661733,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2513953186","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7605124,0.00006332365,0.13476449,0.047905263,0.00035413456,0.0007799678,0.0002556182,0.00030383133,0.05506096],"genre_scores_gemma":[0.9777055,0.0000035465828,0.009840455,0.0011693413,0.00020821221,0.00007114641,0.000019334915,0.00003908292,0.010943382],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986203,0.00013126228,0.00037476653,0.00028044195,0.00024236745,0.0003508701],"domain_scores_gemma":[0.9981082,0.00092186825,0.00008697866,0.00032756123,0.00010237033,0.00045303768],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00050629256,0.000195446,0.00025885532,0.00011349689,0.00016607674,0.00006855983,0.0002168834,0.00015517997,0.09044503],"category_scores_gemma":[0.0018530405,0.00012568723,0.00008774628,0.00010429697,0.00014434081,0.000102887905,0.000020250829,0.000117573276,0.016450968],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015088474,0.000025212032,0.0000397889,0.000016225078,0.00002770153,0.0000075975017,0.00021795991,2.0379137e-7,0.00080118765,0.9627728,0.0345748,0.0015014547],"study_design_scores_gemma":[0.00027295307,0.0000336566,0.000057379115,0.00014251607,0.000026332518,0.0000064703945,0.00027870724,0.000036269776,0.0017269492,0.960137,0.037067775,0.00021399275],"about_ca_topic_score_codex":0.0003405635,"about_ca_topic_score_gemma":0.00084582524,"teacher_disagreement_score":0.2171931,"about_ca_system_score_codex":0.00019643815,"about_ca_system_score_gemma":0.00016871141,"threshold_uncertainty_score":0.98431486},"labels":[],"label_agreement":null},{"id":"W2582795332","doi":"10.1007/978-1-4939-7543-3_5","title":"Approximation in the Closed Unit Ball","year":2018,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Closure (psychology); Unit sphere; Operator (biology); Regular polygon; Norm (philosophy); Numerical range; Simple (philosophy); Pure mathematics; Convex hull; Ball (mathematics); Hull; Mathematical analysis; Geometry","score_opus":0.21185367838445762,"score_gpt":0.3655199704783554,"score_spread":0.15366629209389776,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2582795332","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00029855943,0.00021807768,0.0073931366,0.0043953904,0.00017455478,0.000824929,0.000036185273,0.00010786364,0.9865513],"genre_scores_gemma":[0.1733214,0.002619364,0.088353634,0.0031564715,0.00074767583,0.00064634637,0.0017019046,0.00016167949,0.7292915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99866027,0.00016036905,0.0005338129,0.00021484673,0.00026228733,0.00016844325],"domain_scores_gemma":[0.9957254,0.00069848256,0.00035083372,0.0030425985,0.00014834259,0.00003435457],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009111054,0.00025833174,0.00028839454,0.00017254424,0.00039927554,0.000078959456,0.002205532,0.00047650633,0.0006385219],"category_scores_gemma":[0.00033353706,0.00020483557,0.00011842705,0.000104020095,0.000640309,0.00026826886,0.0002890125,0.0009265816,0.00028599382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000052346436,0.000046655943,0.000001768517,0.000046907113,0.000024699864,0.0000017541868,0.0039341287,0.0000022531651,0.0000018547689,0.98905516,0.005711284,0.0011683085],"study_design_scores_gemma":[0.00012218872,0.00002400911,0.0000040801883,0.00017474334,0.000041514406,0.000007941507,0.00031342637,0.00033460706,0.000007172333,0.71636033,0.28243363,0.00017634204],"about_ca_topic_score_codex":0.00001890837,"about_ca_topic_score_gemma":0.0014841722,"teacher_disagreement_score":0.27672234,"about_ca_system_score_codex":0.00005248315,"about_ca_system_score_gemma":0.000120928715,"threshold_uncertainty_score":0.8352952},"labels":[],"label_agreement":null},{"id":"W2596390776","doi":"10.1155/2017/3154280","title":"Statistical<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:mi mathvariant=\"normal\">Λ</mml:mi></mml:mrow></mml:math>-Convergence in Probabilistic Normed Spaces","year":2017,"lang":"en","type":"article","venue":"Journal of Function Spaces","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Cauchy distribution; Algorithm; Convergence (economics); Mathematics; Computer science; Statistics","score_opus":0.030083416432097124,"score_gpt":0.2731294182825355,"score_spread":0.2430460018504384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2596390776","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94747245,0.00013989674,0.009204546,0.0008252171,0.0012502027,0.000038821967,0.000028520863,0.000046821206,0.04099355],"genre_scores_gemma":[0.9923775,0.00019756216,0.0062346733,0.00016460718,0.0004738847,0.000062313804,0.00001640302,0.00006535968,0.00040766413],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9974516,0.00015317129,0.0007834942,0.0003152092,0.00082354987,0.0004729621],"domain_scores_gemma":[0.9965352,0.00080001063,0.0017024147,0.00059374236,0.00013565058,0.00023302058],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001764534,0.00023715262,0.00021538846,0.00017692888,0.0005652962,0.0005996685,0.0005580117,0.00035309914,0.009983351],"category_scores_gemma":[0.0027499802,0.00028487892,0.00024331431,0.00017579191,0.000482339,0.0012676633,0.00019129779,0.0005453738,0.00040793454],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005453114,0.00012277992,0.00007341094,0.00046033328,0.000177867,0.00022011866,0.0014180309,0.0003164396,0.0009540242,0.9863162,0.008913217,0.0004822911],"study_design_scores_gemma":[0.0057772715,0.005594048,0.00492088,0.00406725,0.0023405273,0.004046917,0.025020476,0.5318271,0.29133922,0.11019181,0.012162163,0.0027123336],"about_ca_topic_score_codex":0.00012461143,"about_ca_topic_score_gemma":0.00026065548,"teacher_disagreement_score":0.8761244,"about_ca_system_score_codex":0.00001573062,"about_ca_system_score_gemma":0.00038544583,"threshold_uncertainty_score":0.99996036},"labels":[],"label_agreement":null},{"id":"W2596800490","doi":"","title":"RE: Lee's tau operator","year":2009,"lang":"en","type":"article","venue":"Perception","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Operator (biology); Computer science; Psychology; Chemistry","score_opus":0.05031023520084917,"score_gpt":0.3387775953463364,"score_spread":0.28846736014548724,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2596800490","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9651462,0.0000100549705,0.013122665,0.0024995804,0.00007188446,0.00015920048,0.0000020395878,0.00018337095,0.01880505],"genre_scores_gemma":[0.98487645,0.000011890284,0.012320749,0.0004921287,0.00013748344,0.000006575135,0.0000068955687,0.000006431761,0.0021413984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946547,0.000054737437,0.00012786932,0.00012106984,0.0001196435,0.000111197216],"domain_scores_gemma":[0.9996936,0.000029024548,0.00003876188,0.00016375988,0.00003741058,0.000037495913],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027320065,0.0000739181,0.00009287479,0.000033669923,0.000104025436,0.00003382363,0.00007776845,0.000058362388,0.0014191443],"category_scores_gemma":[0.00010878134,0.000062865,0.000036118985,0.00007852522,0.000025768131,0.00021735218,0.0000061210267,0.00007269229,0.00034933127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000084089166,0.00032218182,0.00029867352,0.000059527996,0.000015881116,0.0000072125968,0.022045705,0.000027424207,0.19320585,0.6721411,0.040526047,0.071266346],"study_design_scores_gemma":[0.0003950599,0.00020301055,0.005622696,0.00004470276,0.000024931225,0.000009709532,0.006796936,0.0011214315,0.00394506,0.97873694,0.0027881563,0.00031135464],"about_ca_topic_score_codex":0.0000019032365,"about_ca_topic_score_gemma":0.000004484018,"teacher_disagreement_score":0.3065959,"about_ca_system_score_codex":0.000039035476,"about_ca_system_score_gemma":0.000010307299,"threshold_uncertainty_score":0.9994937},"labels":[],"label_agreement":null},{"id":"W2603512221","doi":"10.4153/cjm-2015-034-4","title":"Constrained Approximation with Jacobi Weights","year":2015,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Monotone polygon; Bounded function; Modulus of continuity; Norm (philosophy); Polynomial; Rate of convergence; Uniform norm; Applied mathematics; Smoothness; Mathematical analysis; Type (biology); Geometry","score_opus":0.060708948011081405,"score_gpt":0.2703128537754183,"score_spread":0.2096039057643369,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2603512221","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.77800924,0.00014693613,0.18740338,0.0011308962,0.00028884612,0.00042740922,0.000017093931,0.000041827036,0.03253435],"genre_scores_gemma":[0.7354779,0.0000017858349,0.26382586,0.00006715424,0.00012263359,0.0000037599664,0.0000021352744,0.000028770573,0.00046993984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872905,0.000071481554,0.0005306415,0.00008511507,0.0003341563,0.0002495284],"domain_scores_gemma":[0.99767554,0.00022210472,0.00060892716,0.00021598299,0.00056901557,0.0007084272],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012340335,0.00016012375,0.00034145988,0.00025619502,0.00009821052,0.000082618695,0.00026366665,0.00008630785,0.000109779045],"category_scores_gemma":[0.0009133624,0.00011253456,0.00006819352,0.00020741254,0.00021540267,0.00032948074,0.0000056709982,0.00019823572,0.000025471734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020982117,0.000068499445,0.0001829168,0.00016446025,0.00009294438,0.00013950326,0.011013637,0.000049122995,0.000049335224,0.98418874,0.0035871528,0.00044271053],"study_design_scores_gemma":[0.00091744185,0.00031911896,0.000011568924,0.0003174922,0.00009969125,0.001406748,0.012371095,0.0010650614,0.0014210836,0.98030096,0.0015362699,0.00023346575],"about_ca_topic_score_codex":0.000049820963,"about_ca_topic_score_gemma":0.0011825486,"teacher_disagreement_score":0.0764225,"about_ca_system_score_codex":0.00014571338,"about_ca_system_score_gemma":0.0014984615,"threshold_uncertainty_score":0.4589026},"labels":[],"label_agreement":null},{"id":"W2606405644","doi":"10.1002/mma.4397","title":"Some approximation results involving the <i>q</i>‐Szász–Mirakjan–Kantorovich type operators via Dunkl's generalization","year":2017,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Modulus of continuity; Generalization; Bivariate analysis; Lipschitz continuity; Type (biology); Exponential function; Rate of convergence; Pure mathematics; Exponential type; Order (exchange); Mathematical analysis; Applied mathematics; Statistics","score_opus":0.14848679069583862,"score_gpt":0.4368721781754515,"score_spread":0.28838538747961284,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2606405644","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1645513,0.00031507283,0.7599505,0.010174678,0.00083532947,0.003335401,0.000008512774,0.00026384272,0.060565315],"genre_scores_gemma":[0.40267146,0.000033668617,0.59580904,0.0008028567,0.0002721271,0.00019224345,0.0000032444798,0.000026217625,0.00018913105],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9961509,0.0011941281,0.0008393391,0.0005248362,0.0008074435,0.00048333002],"domain_scores_gemma":[0.99422896,0.0035620024,0.000671,0.0013751922,0.000095959505,0.000066887245],"candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.02150152,0.0002983746,0.00043423858,0.00011398691,0.0023574852,0.0009463366,0.0025232607,0.0001582162,0.000046003435],"category_scores_gemma":[0.0066472073,0.00015407929,0.000083669474,0.0005406583,0.0014219054,0.0007014989,0.00029237862,0.00035914342,0.000052138523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025239018,0.00008986387,0.000018621402,0.00008515779,0.000010248782,0.0000012004933,0.0068435334,0.000110408444,0.005654837,0.9844737,0.00019231308,0.0024948828],"study_design_scores_gemma":[0.00025477787,0.000043390104,0.00005729786,0.0000631266,0.000030818723,0.000011623814,0.0030327078,0.033993244,0.011744249,0.950399,0.00014416125,0.0002255958],"about_ca_topic_score_codex":0.000013625785,"about_ca_topic_score_gemma":0.000012010518,"teacher_disagreement_score":0.23812015,"about_ca_system_score_codex":0.000051477105,"about_ca_system_score_gemma":0.00007614681,"threshold_uncertainty_score":0.9989413},"labels":[],"label_agreement":null},{"id":"W2732652553","doi":"10.33993/jnaat341-787","title":"Approximation properties of a bivariate Stancu type operator","year":2005,"lang":"en","type":"article","venue":"Journal of Numerical Analysis and Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Bivariate analysis; Type (biology); Mathematics; Operator (biology); Statistics; Geology; Chemistry","score_opus":0.03442088092603501,"score_gpt":0.28597995054332315,"score_spread":0.25155906961728813,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2732652553","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56488484,0.00045414825,0.43368444,0.00044872228,0.000035929876,0.00013811287,0.0000035661883,0.000018796773,0.00033146233],"genre_scores_gemma":[0.9513628,0.000075479904,0.0481586,0.000074422314,0.000108051514,0.0000046823284,0.0000027817505,0.000013804812,0.00019936486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99773943,0.00042999987,0.0010678698,0.00016216781,0.00044138354,0.00015914347],"domain_scores_gemma":[0.9977006,0.0002240163,0.0011993544,0.00019974337,0.0005693073,0.00010698099],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022927087,0.00017973744,0.0006923264,0.00042030818,0.00010798822,0.000060292903,0.00019110978,0.00009024859,0.00020752107],"category_scores_gemma":[0.00073760364,0.00011989886,0.0002501485,0.0010245158,0.00014688227,0.00061911944,0.00003560176,0.00018565047,0.0000047903336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008564079,0.0009400597,0.00074601755,0.00044725495,0.002504356,0.000002847004,0.008536426,0.002296526,0.041702315,0.9142993,0.0001472665,0.0275212],"study_design_scores_gemma":[0.0018363526,0.000656128,0.0008013985,0.0003170645,0.0037189082,0.00007953942,0.0063920096,0.13949871,0.10866887,0.7366559,0.0006638361,0.00071128696],"about_ca_topic_score_codex":0.0000020564146,"about_ca_topic_score_gemma":8.637035e-7,"teacher_disagreement_score":0.38647798,"about_ca_system_score_codex":0.000043736327,"about_ca_system_score_gemma":0.00005847527,"threshold_uncertainty_score":0.48893338},"labels":[],"label_agreement":null},{"id":"W2734830809","doi":"10.33993/jnaat392-1034","title":"Durrmeyer-Stancu type operators","year":2010,"lang":"en","type":"article","venue":"Journal of Numerical Analysis and Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Alpha (finance); BETA (programming language); Linear operators; Operator theory; Type (biology); Integer (computer science); Baskakov operator; Discrete mathematics; Mathematical analysis; Microlocal analysis; Fourier integral operator; Statistics; Bounded function; Computer science","score_opus":0.018227058821203745,"score_gpt":0.2984235670563231,"score_spread":0.2801965082351194,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2734830809","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.73623794,0.00007626437,0.2618459,0.00048251104,0.0001507704,0.00007371812,0.000002560176,0.000021892945,0.0011084861],"genre_scores_gemma":[0.965978,0.000028261196,0.03342447,0.00011244939,0.00013701213,0.0000019634433,0.0000024057588,0.000011547064,0.00030388206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852276,0.00023932479,0.00062799786,0.0001430465,0.00031868508,0.00014817722],"domain_scores_gemma":[0.99823385,0.0004600443,0.00062133954,0.00019160475,0.00034234775,0.00015081897],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020960858,0.00014672613,0.00048344946,0.0003076782,0.00014226466,0.00008359669,0.0001831143,0.00009735983,0.00073571334],"category_scores_gemma":[0.0009865762,0.00009954278,0.0002318595,0.0009306667,0.00013656478,0.00035292696,0.000028491817,0.00037523426,0.000008691911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011009357,0.00018973532,0.0014898594,0.00003505899,0.0006818998,0.000006041256,0.0009638765,0.00004610116,0.006956751,0.98214716,0.00018561722,0.007187794],"study_design_scores_gemma":[0.0004321837,0.00016028866,0.0012722119,0.000018639677,0.0011490873,0.00007439816,0.0014161074,0.0062312908,0.0044697975,0.98332024,0.0011979211,0.0002578449],"about_ca_topic_score_codex":0.0000010751232,"about_ca_topic_score_gemma":0.0000015377061,"teacher_disagreement_score":0.22974008,"about_ca_system_score_codex":0.000014052155,"about_ca_system_score_gemma":0.00003855334,"threshold_uncertainty_score":0.8055545},"labels":[],"label_agreement":null},{"id":"W2765288183","doi":"10.1016/j.jat.2018.09.003","title":"On weighted approximation with Jacobi weights","year":2018,"lang":"en","type":"preprint","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Smoothness; Mathematics; Degree (music); Constructive; Jacobi polynomials; Inverse; Characterization (materials science); Algebraic number; Yield (engineering); Matching (statistics); Pure mathematics; Applied mathematics; Orthogonal polynomials; Mathematical analysis; Computer science; Physics; Statistics","score_opus":0.028298475626389968,"score_gpt":0.2914352306114036,"score_spread":0.2631367549850136,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2765288183","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46332985,0.0001457497,0.51596594,0.00057759474,0.0010027492,0.0013318995,0.00003841258,0.00019695133,0.017410852],"genre_scores_gemma":[0.70105463,0.00009350134,0.29418856,0.00042325712,0.0019723899,0.00013793647,0.00011206663,0.00026160898,0.001756059],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9945666,0.0011967378,0.0017898728,0.0005469591,0.0014652702,0.00043454394],"domain_scores_gemma":[0.9908506,0.001543879,0.0049176137,0.0009766764,0.0014775195,0.00023367138],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0053002643,0.0007413354,0.0011876104,0.000937162,0.00028990122,0.00025368173,0.0009605025,0.00067314785,0.00064415135],"category_scores_gemma":[0.0010071585,0.0005099385,0.00044471197,0.00038919537,0.00047017843,0.0006780964,0.00018671819,0.0015474438,0.000089813766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.002257691,0.00054972316,0.000010151066,0.0008263547,0.00048775217,0.00002601997,0.0034137992,0.00017751743,0.00016762354,0.98651725,0.003260622,0.0023054802],"study_design_scores_gemma":[0.0012023449,0.0009579695,0.000021664711,0.0017745524,0.00035334317,0.00016168048,0.00079143996,0.003035716,0.011741066,0.9791167,0.00025818282,0.00058537326],"about_ca_topic_score_codex":9.78023e-7,"about_ca_topic_score_gemma":0.0000012749347,"teacher_disagreement_score":0.23772477,"about_ca_system_score_codex":0.00033972537,"about_ca_system_score_gemma":0.00044666743,"threshold_uncertainty_score":0.99973524},"labels":[],"label_agreement":null},{"id":"W2766285954","doi":"10.1002/mma.4636","title":"A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions","year":2017,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Dominated convergence theorem; Convergence (economics); Type (biology); Weak convergence; Banach space; Modes of convergence (annotated index); Class (philosophy); Applied mathematics; Normal convergence; Compact convergence; Discrete mathematics; Rate of convergence; Convergence tests; Extension (predicate logic); Set (abstract data type); Pure mathematics; Computer science; Topological space","score_opus":0.13831383142676623,"score_gpt":0.42123241553478724,"score_spread":0.282918584108021,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766285954","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26022816,0.000082298306,0.70959276,0.00048021678,0.00012755317,0.000882464,0.000012850222,0.000056490007,0.02853721],"genre_scores_gemma":[0.6398676,0.000010021241,0.3599482,0.00003612429,0.00001420387,0.00006007919,0.0000017187566,0.000008489152,0.0000535522],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99710894,0.00092643773,0.0007041395,0.00038413226,0.0005293929,0.00034698658],"domain_scores_gemma":[0.9883609,0.010225629,0.0006750384,0.0005780428,0.0000897299,0.00007066714],"candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.014728335,0.00020987919,0.0005229978,0.0002531738,0.0008531006,0.00024090888,0.0009570721,0.00013693552,0.00017483244],"category_scores_gemma":[0.013204938,0.00013169755,0.00005216184,0.00085392094,0.00215639,0.00027436233,0.00016327844,0.00027902078,0.000010015755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024853469,0.00016499158,0.0001657627,0.000105989115,0.00001808687,8.077228e-7,0.0027724872,0.0000046874948,0.0021981543,0.99121594,0.000035283378,0.0032929229],"study_design_scores_gemma":[0.0002643106,0.00010122769,0.00058373914,0.000062141335,0.0000459688,0.000004951449,0.004345941,0.03627919,0.001954108,0.9561834,0.000013406768,0.0001616114],"about_ca_topic_score_codex":0.000009664634,"about_ca_topic_score_gemma":0.000006210347,"teacher_disagreement_score":0.37963948,"about_ca_system_score_codex":0.00003902264,"about_ca_system_score_gemma":0.00006646626,"threshold_uncertainty_score":0.99510723},"labels":[],"label_agreement":null},{"id":"W2766669745","doi":"10.28924/2291-8639-15-2017-222","title":"Functional Sequential and Trigonometric Summability of Real and Complex Functions","year":2017,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Logarithm; Trigonometry; Trigonometric functions; Limit (mathematics); Trigonometric series; Type (biology); Pure mathematics; Analytic function; Functional equation; Class (philosophy); Function (biology); Fourier series; Algebra over a field; Discrete mathematics; Mathematical analysis; Differential equation","score_opus":0.0846599259696175,"score_gpt":0.3681818684404338,"score_spread":0.2835219424708163,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766669745","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83259726,0.0000867315,0.16475026,0.0010716786,0.000057070185,0.00009996649,0.00006525694,0.000005773328,0.001266009],"genre_scores_gemma":[0.995718,0.00028699485,0.0036402377,0.000011489947,0.00012901257,0.000007680266,0.00001338127,0.0000035037508,0.00018971499],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.9991087,0.000038446233,0.00043452502,0.00012652873,0.00023468926,0.000057122],"domain_scores_gemma":[0.9982311,0.0002561957,0.0007940295,0.00017157373,0.00047582563,0.000071285096],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00058356224,0.00007562888,0.0002502464,0.0003936757,0.00025049696,0.00011424108,0.00017434405,0.000038648723,0.0001188693],"category_scores_gemma":[0.00018435929,0.00006296118,0.000114497176,0.00015957782,0.00031750716,0.00026326496,0.00007021383,0.00008455002,5.7779897e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025102997,0.0005209378,0.21234852,0.00006880595,0.00463799,0.0000032828054,0.0005019083,0.00010681773,0.0054216445,0.73172396,0.00045258988,0.04396253],"study_design_scores_gemma":[0.000982628,0.00008177164,0.74405867,0.000019171153,0.0014849982,0.00007113794,0.0007737604,0.0019696874,0.0004215851,0.24810219,0.0018684986,0.0001659157],"about_ca_topic_score_codex":0.00005041524,"about_ca_topic_score_gemma":0.000041509145,"teacher_disagreement_score":0.53171015,"about_ca_system_score_codex":0.000021025897,"about_ca_system_score_gemma":0.000030037136,"threshold_uncertainty_score":0.25674823},"labels":[],"label_agreement":null},{"id":"W2766827409","doi":"10.28924/2291-8639-15-2017-138","title":"On the (p,q)−Stancu Generalization of a Genuine Baskakov-Durrmeyer Type Operators","year":2017,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Baskakov operator; Generalization; Modulus of continuity; Type (biology); Rate of convergence; Space (punctuation); Integer (computer science); Operator theory; Pure mathematics; Convergence (economics); Algebra over a field; Mathematical analysis; Microlocal analysis; Fourier integral operator; Linguistics; Computer science","score_opus":0.034866612194793346,"score_gpt":0.35587060241271884,"score_spread":0.3210039902179255,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2766827409","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8172676,0.000083788385,0.17570862,0.0041144853,0.0000765464,0.00013909719,0.000026137212,0.0000055021815,0.0025782383],"genre_scores_gemma":[0.99755013,0.00014168468,0.0018184837,0.00010569791,0.00011192144,0.0000070108467,0.0000046768428,0.000004724814,0.00025565052],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920154,0.00004369928,0.00034713722,0.00007783586,0.00028111695,0.000048651546],"domain_scores_gemma":[0.99809414,0.00018332934,0.0007840836,0.00025141312,0.0006548523,0.000032170476],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000515763,0.00006580011,0.00016624203,0.00015824201,0.00019225782,0.00009685573,0.0004356177,0.000029474008,0.00018062777],"category_scores_gemma":[0.00030651054,0.00004109756,0.00011589298,0.00014942227,0.000105688596,0.00014290021,0.00003446928,0.000075578355,0.0000025945474],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003006815,0.000072801326,0.002553096,0.0000042775278,0.0008186237,0.0000010067454,0.00021339602,0.00037147786,0.0018876693,0.9922433,0.0003497645,0.0014545004],"study_design_scores_gemma":[0.00073835044,0.00015645818,0.011207269,0.000096753385,0.0014754331,0.000027925613,0.0008995606,0.0064124647,0.020203885,0.9510253,0.0074926373,0.0002639313],"about_ca_topic_score_codex":0.00000807326,"about_ca_topic_score_gemma":0.000015803265,"teacher_disagreement_score":0.18028256,"about_ca_system_score_codex":0.000017294511,"about_ca_system_score_gemma":0.000028474764,"threshold_uncertainty_score":0.19777474},"labels":[],"label_agreement":null},{"id":"W2770659204","doi":"10.5539/jmr.v10n1p20","title":"Korovkin Approximation Theorem with Ω Striped","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"University of Kufa","keywords":"Lacunary function; Mathematics; Context (archaeology); Polynomial; Piecewise; Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.25199079289583776,"score_gpt":0.4651098164083285,"score_spread":0.21311902351249074,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2770659204","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8724618,0.000057422356,0.08578178,0.0016973321,0.00011931039,0.000580413,0.0000038201842,0.000032289783,0.039265856],"genre_scores_gemma":[0.8646811,0.000035710098,0.13361417,0.000007654796,0.0001856967,0.0000106377165,5.261549e-7,0.00003413442,0.0014303549],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969197,0.00029833298,0.00066514354,0.00014563293,0.0016065069,0.00036466372],"domain_scores_gemma":[0.99504143,0.0013695053,0.0013069828,0.0008837546,0.0012444415,0.00015389553],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.010121058,0.00015905368,0.00043002708,0.000312657,0.0007648616,0.00047384267,0.0011513747,0.000110289344,0.00018176368],"category_scores_gemma":[0.0041365917,0.000100286794,0.00010964662,0.00013860191,0.0005423243,0.0007594399,0.00012761989,0.0007075464,0.000034486107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014462149,0.00047817713,0.00012961816,0.00046778077,0.00011588601,0.00007101828,0.0051511684,0.000010717184,0.0022908058,0.9871783,0.0014226233,0.00253925],"study_design_scores_gemma":[0.00081356434,0.00037388314,0.00007734191,0.00044764267,0.000034605764,0.0002550413,0.006821468,0.0015007912,0.011347282,0.97793823,0.0002509085,0.00013925758],"about_ca_topic_score_codex":0.0000049914593,"about_ca_topic_score_gemma":0.00000916659,"teacher_disagreement_score":0.047832385,"about_ca_system_score_codex":0.00009373582,"about_ca_system_score_gemma":0.0002158458,"threshold_uncertainty_score":0.5882774},"labels":[],"label_agreement":null},{"id":"W2794163847","doi":"10.28924/2291-8639-16-2018-222","title":"Quasi-Almost Lacunary Statistical Convergence of Sequences of Sets","year":2018,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Lacunary function; Mathematics; Convergence (economics); Weak convergence; Discrete mathematics; Pure mathematics; Computer science","score_opus":0.02958541308565474,"score_gpt":0.37606129382104436,"score_spread":0.3464758807353896,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2794163847","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44874284,0.000073628435,0.5499221,0.0003956329,0.000037681973,0.000058379297,0.00010403649,0.000003729254,0.0006619561],"genre_scores_gemma":[0.97299844,0.0000909152,0.026751928,0.000023724884,0.000077778175,0.0000037528332,0.000007958216,0.0000032093858,0.000042286654],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988649,0.000059111855,0.00059322076,0.00008682002,0.00033941466,0.000056528617],"domain_scores_gemma":[0.99770975,0.00040073344,0.00076934375,0.000107782995,0.0009625795,0.000049810573],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051355193,0.00006488334,0.0002584515,0.00022381857,0.000038403872,0.000013559826,0.00026285867,0.000035637855,0.0004221702],"category_scores_gemma":[0.0001486334,0.00005128364,0.000107485976,0.00028529836,0.00038658903,0.00012420559,0.000030254283,0.00006635927,0.0000026986377],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000089586814,0.00053607766,0.010227158,0.000043116164,0.0017847366,0.0000042611314,0.0012401254,0.000046735408,0.012451767,0.9666927,0.000357767,0.006525988],"study_design_scores_gemma":[0.00045932116,0.00046474766,0.0064791916,0.00008847574,0.0013651222,0.000078744124,0.0027117121,0.004515354,0.05330839,0.9292768,0.0010525566,0.00019955159],"about_ca_topic_score_codex":0.000016445909,"about_ca_topic_score_gemma":0.00001413048,"teacher_disagreement_score":0.52425563,"about_ca_system_score_codex":0.000012721067,"about_ca_system_score_gemma":0.00005119702,"threshold_uncertainty_score":0.46224678},"labels":[],"label_agreement":null},{"id":"W2799793053","doi":"10.1515/jaa-2018-0001","title":"Deferred weighted 𝒜-statistical convergence based upon the (<i>p</i>,<i>q</i>)-Lagrange polynomials and its applications to approximation theorems","year":2018,"lang":"en","type":"article","venue":"Journal of Applied Analysis","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Convergence (economics); Applied mathematics; Discrete mathematics; Combinatorics","score_opus":0.031642382049804484,"score_gpt":0.31262770412854285,"score_spread":0.2809853220787384,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2799793053","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21325788,0.000063538086,0.7831654,0.0010228029,0.000043462813,0.00055202085,0.000032900924,0.000029740946,0.0018322308],"genre_scores_gemma":[0.968068,0.000015764477,0.03119342,0.0003871115,0.00021590003,0.000057919668,0.0000077742,0.000015680262,0.00003840863],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982492,0.00014982391,0.00072334846,0.00022321945,0.00044061925,0.00021383986],"domain_scores_gemma":[0.9974596,0.0009971582,0.00066674425,0.00031096608,0.00038715987,0.00017836012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017174503,0.00018661632,0.00048209727,0.00034858973,0.00030893504,0.00009430337,0.00035128178,0.0000884406,0.00030562253],"category_scores_gemma":[0.00023779916,0.00012045396,0.00015784327,0.0012246501,0.00017648122,0.00012423143,0.00003809286,0.00017571212,0.000038948936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040290513,0.00015479495,0.00008499001,0.00006373012,0.0007696927,0.0000020066932,0.0019595318,0.00017317549,0.015985902,0.9773153,0.0005264091,0.0025615818],"study_design_scores_gemma":[0.0012496383,0.00028505293,0.0005234431,0.000051609077,0.0048813606,0.000020304535,0.0026063337,0.094638504,0.066965014,0.82559204,0.0025865908,0.000600135],"about_ca_topic_score_codex":0.0000027132858,"about_ca_topic_score_gemma":0.000018715327,"teacher_disagreement_score":0.75481015,"about_ca_system_score_codex":0.000043435146,"about_ca_system_score_gemma":0.00006127403,"threshold_uncertainty_score":0.491197},"labels":[],"label_agreement":null},{"id":"W2801703926","doi":"","title":"Riesz Sequences and Frames of Exponentials associated with non-full rank lattices.","year":2018,"lang":"en","type":"dissertation","venue":"MacSphere (McMaster University)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"University of Ghana; McMaster University","keywords":"Rank (graph theory); Mathematics; Exponential function; Pure mathematics; Combinatorics; Mathematical analysis","score_opus":0.020609650314757495,"score_gpt":0.24342149458440668,"score_spread":0.22281184426964917,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2801703926","genre_codex":"empirical","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7076282,0.000087803855,0.0014318996,0.000031725584,0.00015120828,0.0004899177,0.00006592472,0.00009036662,0.29002297],"genre_scores_gemma":[0.3310921,0.000081159866,0.0066055357,0.000024632649,0.00007043076,0.0000038936237,0.00023214228,0.00007467631,0.66181546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"qualitative","domain_scores_codex":[0.9985883,0.00016463484,0.0002897591,0.00038386445,0.00032981855,0.00024359582],"domain_scores_gemma":[0.9982938,0.00028893648,0.0008161297,0.00023881663,0.00027867025,0.0000836578],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00026352296,0.0003346698,0.0005956311,0.00017489398,0.00017751007,0.00005801954,0.00032595033,0.000394502,0.01897342],"category_scores_gemma":[0.00012327713,0.00030221284,0.00008998929,0.00037922896,0.00033613804,0.00037856086,0.000047260502,0.00022556474,0.0000112595335],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.016236827,0.0023848356,0.009623861,0.018739043,0.01287093,0.0010200115,0.23753569,0.00006461561,0.031087732,0.45606944,0.008308348,0.20605868],"study_design_scores_gemma":[0.015552703,0.0048976773,0.0040295986,0.017705476,0.009053934,0.000054225555,0.39254823,0.0010998005,0.12761478,0.36109972,0.059086047,0.007257823],"about_ca_topic_score_codex":0.00004922415,"about_ca_topic_score_gemma":0.0010915014,"teacher_disagreement_score":0.3765361,"about_ca_system_score_codex":0.000056720455,"about_ca_system_score_gemma":0.000121284,"threshold_uncertainty_score":0.999943},"labels":[],"label_agreement":null},{"id":"W2801899124","doi":"10.1016/j.jat.2018.04.001","title":"Problems and conjectures in approximation that I would like settled","year":2018,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Smoothness; Applied mathematics; Calculus (dental); Mathematical analysis","score_opus":0.046793276226801794,"score_gpt":0.2975777233198801,"score_spread":0.2507844470930783,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2801899124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.83826077,0.00039329668,0.15455851,0.0008666679,0.00034351044,0.00072094565,0.000005575906,0.00006963021,0.0047810995],"genre_scores_gemma":[0.97099024,0.000051448642,0.028121773,0.0003004439,0.00022089099,0.000019216674,0.0000041178946,0.00003160301,0.00026023766],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977713,0.00050754036,0.00081873476,0.00020650425,0.00044470464,0.00025122013],"domain_scores_gemma":[0.99764174,0.00061756227,0.0010868076,0.0002375089,0.00031580369,0.000100595076],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0043084994,0.00023039307,0.00044013598,0.000448482,0.00013893118,0.000095450945,0.00024436315,0.0002739408,0.00018522564],"category_scores_gemma":[0.000846459,0.00017822425,0.000093747716,0.00030851894,0.00036529487,0.0008713877,0.000047994487,0.00051539525,0.0000119156975],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00071501173,0.00032086307,0.00077387894,0.0005306096,0.00011909461,0.000011259403,0.029450698,0.000049849546,0.006314006,0.94819325,0.0008406445,0.0126808435],"study_design_scores_gemma":[0.0011600585,0.0002530549,0.00040958857,0.00025470817,0.000045780045,0.00017031589,0.0032409125,0.0019351634,0.0127287125,0.9790975,0.0004886648,0.00021555222],"about_ca_topic_score_codex":0.0000016155003,"about_ca_topic_score_gemma":0.0000068963363,"teacher_disagreement_score":0.1327295,"about_ca_system_score_codex":0.000081598846,"about_ca_system_score_gemma":0.00006486805,"threshold_uncertainty_score":0.7267774},"labels":[],"label_agreement":null},{"id":"W2802412669","doi":"10.28924/2291-8639-16-2018-317","title":"Lacunary I_2-Invariant Convergence and Some Properties","year":2018,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Afyon Kocatepe Üniversitesi","keywords":"Lacunary function; Mathematics; Invariant (physics); Pure mathematics; Convergence (economics); Discrete mathematics; Mathematical physics","score_opus":0.034826305717429486,"score_gpt":0.31933683593377965,"score_spread":0.28451053021635014,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2802412669","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.78095376,0.00043227716,0.21365823,0.0038132672,0.0000804552,0.00012875724,0.000017165385,0.00001674103,0.0008993393],"genre_scores_gemma":[0.9935187,0.0002802129,0.005472901,0.00015371834,0.00032510678,0.00000894467,0.0000019328922,0.0000039930474,0.00023450986],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992854,0.000037080215,0.00031367672,0.00009737344,0.00020663431,0.00005983379],"domain_scores_gemma":[0.9990241,0.00009298415,0.00029701472,0.00008785265,0.0004403712,0.000057677662],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039359275,0.000066398934,0.00015952089,0.00020323382,0.000094510564,0.000065705695,0.0001759716,0.000031801548,0.000106231084],"category_scores_gemma":[0.000079877056,0.00004832393,0.00007040115,0.00017181657,0.00021251573,0.0002606864,0.000042610263,0.00007206019,0.0000049141727],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057632344,0.00013085856,0.003325146,0.000016360302,0.0016656675,0.000005124308,0.0013655022,0.000011824694,0.008106203,0.97925985,0.00039677162,0.005659067],"study_design_scores_gemma":[0.00047060713,0.00013634736,0.004524606,0.000060369985,0.0010675224,0.00017097864,0.0017675709,0.0050269426,0.013168735,0.96654505,0.0068196645,0.00024160038],"about_ca_topic_score_codex":0.0000073763017,"about_ca_topic_score_gemma":0.000008594875,"teacher_disagreement_score":0.21256492,"about_ca_system_score_codex":0.000013025983,"about_ca_system_score_gemma":0.000024866282,"threshold_uncertainty_score":0.19705927},"labels":[],"label_agreement":null},{"id":"W2887552965","doi":"10.29020/nybg.ejpam.v11i3.3314","title":"A General Family of the Srivastava-Gupta Operators Preserving Linear Functions","year":2018,"lang":"en","type":"article","venue":"European Journal of Pure and Applied Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Linear operators; Constant coefficients; Sequence (biology); Constant (computer programming); Operator theory; Baskakov operator; Pure mathematics; Algebra over a field; Mathematical analysis; Fourier integral operator; Microlocal analysis","score_opus":0.042136283547202114,"score_gpt":0.27024898164117156,"score_spread":0.22811269809396945,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2887552965","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92066,0.00007326912,0.050920393,0.00016481798,0.00015771123,0.00018032677,0.0000064085416,0.000017500633,0.027819537],"genre_scores_gemma":[0.8792471,0.00002492567,0.11898277,0.000115915755,0.00054378866,0.0000013807988,3.7088287e-7,0.0000410097,0.0010427241],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868125,0.00012789467,0.0006581231,0.000099312274,0.0002874968,0.00014595245],"domain_scores_gemma":[0.998585,0.00013985897,0.00067541166,0.00031298632,0.00021086872,0.000075905635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014657924,0.0001489865,0.0002899736,0.00006459506,0.00019557921,0.000039527276,0.00039472172,0.000031688985,0.00006484509],"category_scores_gemma":[0.0002369322,0.000089349414,0.000101920545,0.0001805567,0.00023263847,0.00010601204,0.00014875561,0.00022098982,0.000013582163],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001438822,0.0007041438,0.00011555509,0.0010070874,0.0004986453,0.000022025244,0.040534686,0.00014379264,0.15885188,0.7692367,0.02159476,0.0071468595],"study_design_scores_gemma":[0.0046468326,0.0016060683,0.0010926449,0.0024284257,0.0012844618,0.00080127054,0.05261706,0.0051435027,0.14558253,0.76329476,0.02011905,0.0013834042],"about_ca_topic_score_codex":1.9501084e-7,"about_ca_topic_score_gemma":8.150868e-7,"teacher_disagreement_score":0.06806238,"about_ca_system_score_codex":0.000009498991,"about_ca_system_score_gemma":0.000041733965,"threshold_uncertainty_score":0.36435634},"labels":[],"label_agreement":null},{"id":"W2898924515","doi":"10.1016/j.jmaa.2019.01.055","title":"Interpolatory estimates for convex piecewise polynomial approximation","year":2019,"lang":"en","type":"preprint","venue":"Journal of Mathematical Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Piecewise; Combinatorics; Regular polygon; Mathematics; Partition (number theory); Order (exchange); Omega; Polynomial; Chebyshev polynomials; Physics; Mathematical analysis; Geometry; Quantum mechanics","score_opus":0.037234027290332226,"score_gpt":0.33540183317997724,"score_spread":0.29816780588964503,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2898924515","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03235093,0.00036131893,0.96494746,0.00056282146,0.00005457879,0.0010626031,0.00008119184,0.000031387728,0.00054771145],"genre_scores_gemma":[0.7032834,0.00008762822,0.29523188,0.000077905104,0.00043229267,0.00033890802,0.00006173532,0.000049082817,0.00043715813],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976647,0.0000762583,0.0013926134,0.00031510968,0.00034779366,0.00020354665],"domain_scores_gemma":[0.99524045,0.0016897903,0.0019358016,0.00049742695,0.00047742567,0.0001590909],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015032211,0.0003127253,0.0013449447,0.000493648,0.0001335646,0.0001723316,0.0004134477,0.00029335087,0.0001315538],"category_scores_gemma":[0.0005379368,0.00023860736,0.0007792758,0.00029580228,0.00017373989,0.00015754571,0.00017359012,0.00044897964,0.000011784456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00015100616,0.0010393508,0.00042957754,0.0050807944,0.0064909398,0.000001584166,0.0023568796,0.0009520128,0.00097068254,0.9747138,0.0022461112,0.005567269],"study_design_scores_gemma":[0.0003373027,0.00006016332,0.000053615528,0.00019707515,0.005242458,0.000017085367,0.00057431275,0.06523759,0.00074190495,0.9268944,0.00037969928,0.00026436287],"about_ca_topic_score_codex":0.0000011844572,"about_ca_topic_score_gemma":0.0000012671251,"teacher_disagreement_score":0.6709325,"about_ca_system_score_codex":0.000067111294,"about_ca_system_score_gemma":0.00011757576,"threshold_uncertainty_score":0.97301257},"labels":[],"label_agreement":null},{"id":"W2899269160","doi":"10.28924/2291-8639-16-2018-894","title":"On Integrated and Differentiated C_2-Sequence Spaces","year":2018,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Dual polyhedron; Sequence (biology); Mathematics; Sequence space; Norm (philosophy); Pure mathematics; Space (punctuation); Banach space; Computer science; Epistemology; Chemistry","score_opus":0.03222340428177936,"score_gpt":0.35048915334945757,"score_spread":0.31826574906767824,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2899269160","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80141526,0.000042180494,0.19658326,0.0010415559,0.000039738443,0.00006772745,0.000020645115,0.000012823613,0.00077680685],"genre_scores_gemma":[0.9953235,0.00010153682,0.0041269544,0.00010026944,0.00013062239,0.000006639761,0.000008336779,0.000004692179,0.00019745431],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99922353,0.000044326058,0.00031117885,0.00011774089,0.00023708474,0.000066119144],"domain_scores_gemma":[0.9986941,0.00022744393,0.00036625407,0.00009858389,0.00054857694,0.000065011554],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002841084,0.00008614097,0.00018689378,0.00033777807,0.00009402365,0.00011017389,0.00018854288,0.000036872603,0.00015881134],"category_scores_gemma":[0.00013163044,0.00006200077,0.000078491576,0.0003170403,0.00018994015,0.00013210018,0.000026863223,0.000098911296,0.0000048107054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000867655,0.00018212985,0.0034297209,0.000007260772,0.0017453706,0.000004233565,0.0006560158,0.0000142893,0.004666144,0.9746768,0.00031134245,0.014219911],"study_design_scores_gemma":[0.0005804054,0.00022433266,0.00500311,0.0000777617,0.00092929095,0.00006990098,0.001096205,0.0045348383,0.006853218,0.9771285,0.0032778147,0.00022458762],"about_ca_topic_score_codex":0.000010502017,"about_ca_topic_score_gemma":0.000023599905,"teacher_disagreement_score":0.19390823,"about_ca_system_score_codex":0.000021858481,"about_ca_system_score_gemma":0.00001941394,"threshold_uncertainty_score":0.25283182},"labels":[],"label_agreement":null},{"id":"W2908536929","doi":"10.22034/kjm.2019.81223","title":"On Approximation by $(p,q)$-Meyer-König-Zeller Durrmeyer Operators","year":2019,"lang":"en","type":"article","venue":"Khayyam journal of mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Canadian Institutes of Health Research","funders":"","keywords":"Mathematics; Operator theory; Rate of convergence; Type (biology); Convergence (economics); Discrete mathematics; Applied mathematics; Pure mathematics; Computer science; Key (lock)","score_opus":0.021163845068976526,"score_gpt":0.2850739141799599,"score_spread":0.2639100691109834,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2908536929","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95643425,0.000110457186,0.031079004,0.0004967673,0.00045025608,0.000491194,0.000011355553,0.00005792097,0.010868796],"genre_scores_gemma":[0.9373904,0.000060235136,0.05717656,0.00031458554,0.00015800231,0.000010810777,0.000005431832,0.000089366345,0.0047946],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99733263,0.00016347428,0.0011702137,0.00020398716,0.00080672797,0.00032298817],"domain_scores_gemma":[0.99682426,0.0010010112,0.0011951643,0.0004896019,0.00032513993,0.00016481287],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0019298363,0.000320902,0.0006778217,0.00022476476,0.00011469047,0.00010842263,0.00050780736,0.00019218029,0.0012898453],"category_scores_gemma":[0.0008967824,0.00023953327,0.0002464288,0.00024327813,0.00008016301,0.0005456802,0.000047827227,0.00047022998,0.00050520257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010443528,0.001423822,0.00015130472,0.0008049033,0.0002587695,0.000017880464,0.008402812,0.0003176335,0.01050723,0.93508846,0.04220262,0.00072014966],"study_design_scores_gemma":[0.0017809125,0.00065460545,0.000009702852,0.00068065256,0.00012479843,0.00021990649,0.0056962674,0.0037050366,0.034827854,0.94942045,0.0023309633,0.00054887746],"about_ca_topic_score_codex":5.308032e-7,"about_ca_topic_score_gemma":3.724207e-7,"teacher_disagreement_score":0.03987166,"about_ca_system_score_codex":0.000109583925,"about_ca_system_score_gemma":0.000084061125,"threshold_uncertainty_score":0.9996231},"labels":[],"label_agreement":null},{"id":"W2910307385","doi":"10.28924/2291-8639-17-2019-14","title":"On I-Asymptotically Lacunary Statistical Equivalence of Functions on Amenable Semigroups","year":2019,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Lacunary function; Mathematics; Equivalence (formal languages); Countable set; Semigroup; Pure mathematics; Discrete mathematics","score_opus":0.01488435570559957,"score_gpt":0.3201886100186925,"score_spread":0.3053042543130929,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2910307385","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5004935,0.000020669266,0.49193493,0.000816693,0.000063808344,0.00014152161,0.000090726215,0.000009907544,0.006428226],"genre_scores_gemma":[0.9938014,0.000038002472,0.005317321,0.00012289996,0.00007052849,0.000008899584,0.000013674607,0.000005968661,0.0006213162],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879247,0.000057936795,0.00048116618,0.00013297639,0.00045441516,0.00008104179],"domain_scores_gemma":[0.9978395,0.0010990025,0.00043091807,0.00016604782,0.00039699927,0.00006754809],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004711666,0.000087534245,0.00025467383,0.00032957995,0.000043899985,0.000033206936,0.00023253093,0.00004448953,0.0006611915],"category_scores_gemma":[0.00017425185,0.000068063215,0.0001422533,0.00027940606,0.0000873908,0.000109102766,0.000027523058,0.00015851704,0.000031148676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010107251,0.00034270185,0.0015976736,0.000015313613,0.0008278613,0.0000021726262,0.00010623044,0.0014751453,0.0013108894,0.99189085,0.0004271665,0.0019029109],"study_design_scores_gemma":[0.0008174271,0.00068678835,0.006527525,0.00014231738,0.0010325221,0.000036703645,0.0010312902,0.0058218758,0.0023605246,0.9795785,0.0017201598,0.00024438027],"about_ca_topic_score_codex":0.0000034434488,"about_ca_topic_score_gemma":0.0000023038033,"teacher_disagreement_score":0.49330786,"about_ca_system_score_codex":0.00003453418,"about_ca_system_score_gemma":0.000033152148,"threshold_uncertainty_score":0.7239583},"labels":[],"label_agreement":null},{"id":"W2915081166","doi":"10.1007/s11785-019-00901-6","title":"Approximation by a Class of q-Beta Operators of the Second Kind Via the Dunkl-Type Generalization on Weighted Spaces","year":2019,"lang":"en","type":"article","venue":"Complex Analysis and Operator Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Generalization; Type (biology); Operator theory; Class (philosophy); Pure mathematics; BETA (programming language); Modulus of continuity; Context (archaeology); Convergence (economics); Exponential function; Discrete mathematics; Mathematical analysis; Computer science","score_opus":0.02039495481252267,"score_gpt":0.26391694430482443,"score_spread":0.24352198949230175,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2915081166","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99216723,0.00016906836,0.0054181665,0.00021167767,0.00006367473,0.00042035818,0.0000467581,0.000013872897,0.0014892004],"genre_scores_gemma":[0.99799913,0.00001712244,0.00046506344,0.00022648255,0.000020998215,0.000009474905,0.000037590333,0.000015894268,0.001208261],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99811476,0.0007403523,0.00045767133,0.00025364495,0.0002933615,0.00014020606],"domain_scores_gemma":[0.99840045,0.00034617705,0.00038940282,0.0006060548,0.0002184937,0.000039413844],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0011073757,0.00019021257,0.00046644438,0.00012739854,0.00020526852,0.00006125118,0.00034508645,0.000089955145,0.0014207192],"category_scores_gemma":[0.00006650762,0.000100832316,0.00016734816,0.0009454687,0.00025925695,0.00013782296,0.00007427366,0.0001163404,0.0000067542446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010132915,0.00013273428,0.005568609,0.00014341772,0.0008236584,1.2744269e-7,0.0027348516,0.00034060545,0.10847304,0.8808351,0.0004935212,0.00035298459],"study_design_scores_gemma":[0.0016286335,0.00042508377,0.0058689388,0.00014424049,0.0021462778,0.0000050746467,0.007525359,0.1258981,0.5866088,0.26567355,0.0032377434,0.00083818135],"about_ca_topic_score_codex":0.000009472459,"about_ca_topic_score_gemma":0.00003075915,"teacher_disagreement_score":0.6151616,"about_ca_system_score_codex":0.00001827953,"about_ca_system_score_gemma":0.00003020986,"threshold_uncertainty_score":0.9994921},"labels":[],"label_agreement":null},{"id":"W2918175311","doi":"10.3390/sym11030316","title":"Construction of Stancu-Type Bernstein Operators Based on Bézier Bases with Shape Parameter λ","year":2019,"lang":"en","type":"article","venue":"Symmetry","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":99,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Modulus of continuity; Type (biology); Smoothness; Bézier curve; Lipschitz continuity; Rate of convergence; Operator (biology); Bivariate analysis; Convergence (economics); Bernstein polynomial; Order (exchange); Mathematical analysis; Baskakov operator; Applied mathematics; Pure mathematics; Operator theory; Geometry; Computer science; Fourier integral operator; Microlocal analysis","score_opus":0.02054955286441936,"score_gpt":0.26981660871527924,"score_spread":0.24926705585085987,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2918175311","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98836523,0.000012373484,0.0020661014,0.000079738056,0.00013958817,0.00026516084,0.000014479036,0.00004550269,0.0090118265],"genre_scores_gemma":[0.963724,0.0000014730277,0.03564526,0.00017382557,0.000020977815,0.0000055546484,0.000006812792,0.000019671526,0.0004023993],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99909234,0.00009677128,0.00020952107,0.00019246995,0.00026929178,0.00013958248],"domain_scores_gemma":[0.99890137,0.00046972703,0.00015203371,0.00032040646,0.00011254503,0.00004389953],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00027650644,0.00013562325,0.00023648734,0.00011525695,0.000038259965,0.000018077986,0.000099387136,0.00007684024,0.0011624312],"category_scores_gemma":[0.00022044453,0.00009786559,0.00004543848,0.0002828717,0.00011270933,0.00013105126,0.000011125736,0.00011901499,0.00006673645],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0009449039,0.00032125643,0.0478604,0.00064017583,0.00013738591,0.000008863639,0.00048096225,0.00024521878,0.0049545444,0.93869835,0.00047892268,0.0052289935],"study_design_scores_gemma":[0.0064131147,0.00547268,0.002473835,0.0022374406,0.00036385673,0.000059776416,0.009383548,0.05820829,0.5424743,0.36801696,0.0028771623,0.002018994],"about_ca_topic_score_codex":0.0000038985777,"about_ca_topic_score_gemma":0.0000017068891,"teacher_disagreement_score":0.57068145,"about_ca_system_score_codex":0.000027965725,"about_ca_system_score_gemma":0.000064012136,"threshold_uncertainty_score":0.9997506},"labels":[],"label_agreement":null},{"id":"W2919986315","doi":"10.28924/2291-8639-17-2019-226","title":"A Note on Generalized Indexed Norlund Summability Factor of an Infinite Series","year":2019,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Absolute (philosophy); Series (stratigraphy); Pure mathematics; Theology","score_opus":0.025061186978302702,"score_gpt":0.3452596036103957,"score_spread":0.32019841663209303,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2919986315","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9721705,0.000011830869,0.026684443,0.0003926971,0.0000331974,0.000115202834,0.00006259477,0.0000064894834,0.00052304874],"genre_scores_gemma":[0.9913186,0.000029766064,0.00831252,0.000052227722,0.00007422886,0.000007559857,0.000015332149,0.000005159907,0.00018459624],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99890447,0.00007214235,0.0005038778,0.00011638109,0.0003406858,0.00006244166],"domain_scores_gemma":[0.9983487,0.00023683452,0.00064052106,0.00019397617,0.0005201181,0.000059842092],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003846405,0.00008568403,0.00028961585,0.00031327314,0.000036549452,0.00004244077,0.00025304884,0.000045840945,0.00026341714],"category_scores_gemma":[0.00008746224,0.00006664128,0.00017171504,0.000271372,0.00007029605,0.00027704565,0.000024546609,0.00010171898,0.0000039401843],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0006718016,0.0010164933,0.044386525,0.000065175205,0.0031916995,0.0000034879881,0.0025854283,0.0017983919,0.030767139,0.90195966,0.00003727732,0.013516929],"study_design_scores_gemma":[0.0023236547,0.0006501449,0.05783538,0.0000949293,0.001276958,0.00004903895,0.0015825412,0.006576099,0.04980457,0.87405145,0.0052411035,0.0005141476],"about_ca_topic_score_codex":0.000013278788,"about_ca_topic_score_gemma":0.000035458528,"teacher_disagreement_score":0.02790822,"about_ca_system_score_codex":0.000028762272,"about_ca_system_score_gemma":0.0000381528,"threshold_uncertainty_score":0.2884233},"labels":[],"label_agreement":null},{"id":"W2927665005","doi":"10.3390/sym11040448","title":"Statistically and Relatively Modular Deferred-Weighted Summability and Korovkin-Type Approximation Theorems","year":2019,"lang":"en","type":"article","venue":"Symmetry","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Type (biology); Bivariate analysis; Modular design; Convergence (economics); Modular form; Pure mathematics; Space (punctuation); Discrete mathematics; Algebra over a field; Statistics; Computer science","score_opus":0.024087660161445514,"score_gpt":0.2865640073311859,"score_spread":0.2624763471697404,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2927665005","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9536022,0.00013114492,0.036080826,0.00014494035,0.00008659793,0.0005900451,0.000019831326,0.00009642489,0.009247982],"genre_scores_gemma":[0.9569937,0.000021386404,0.042330123,0.000052352952,0.000020684318,0.000008611526,0.000015280471,0.000020923382,0.000536923],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99870545,0.00022776189,0.00029176378,0.00035092008,0.00022110413,0.00020298557],"domain_scores_gemma":[0.9985132,0.0008417792,0.00014191434,0.00029654792,0.00011420323,0.0000923347],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00093447644,0.00017715704,0.00027830008,0.00007879664,0.0001067207,0.000059684837,0.00009227511,0.00013749735,0.00014978422],"category_scores_gemma":[0.0008497226,0.00014646347,0.000028000213,0.00019890022,0.00022882318,0.0002934623,0.00006641071,0.00019387549,0.00004335455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000076235425,0.00004846736,0.0052169506,0.00023271824,0.000031450687,0.0000015664768,0.0010704249,9.343179e-7,0.0010887898,0.98999006,0.000049661212,0.0021927177],"study_design_scores_gemma":[0.00041644127,0.000113745795,0.0051921317,0.000041470084,0.00003155304,0.000011906576,0.00080430065,0.008918031,0.001131805,0.9830462,0.00009274643,0.0001996663],"about_ca_topic_score_codex":0.000006557163,"about_ca_topic_score_gemma":0.0000020826028,"teacher_disagreement_score":0.008917097,"about_ca_system_score_codex":0.000034203462,"about_ca_system_score_gemma":0.000028165037,"threshold_uncertainty_score":0.59726065},"labels":[],"label_agreement":null},{"id":"W2933457307","doi":"10.2298/fil1806101s","title":"Univalence conditions for an integral operator defined by a generalization of the Srivastava-Attiya operator","year":2018,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Operator (biology); Generalization; Object (grammar); Algebra over a field; Shift operator; Pure mathematics; Mathematical analysis; Compact operator; Extension (predicate logic); Artificial intelligence; Computer science","score_opus":0.05441050349160563,"score_gpt":0.3463785548057196,"score_spread":0.29196805131411396,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2933457307","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9686916,0.000014912363,0.028808609,0.0003721404,0.00018416459,0.0005953351,0.0005399401,0.000070525115,0.00072277285],"genre_scores_gemma":[0.98105854,0.0000027664987,0.01722847,0.00026611733,0.0000954811,0.00008086052,0.00009761362,0.000022449387,0.0011476808],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99914014,0.000135227,0.00026230875,0.00017216237,0.0001388107,0.00015137234],"domain_scores_gemma":[0.9990351,0.00013241335,0.00014378117,0.00037010846,0.00026698902,0.000051585474],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002658092,0.00012306703,0.00016403141,0.000033393088,0.000282047,0.00003940269,0.0002987341,0.00007116064,0.0004101117],"category_scores_gemma":[0.0004180752,0.0000825374,0.00006368753,0.00018186736,0.00025567962,0.00028020886,0.000036774723,0.00005019696,0.000014946054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030258894,0.00015823261,0.00037293392,0.000086642605,0.000029380068,1.2009978e-7,0.0023505976,0.000007666197,0.11973468,0.85009587,0.02703577,0.000097823795],"study_design_scores_gemma":[0.0010747882,0.00063805847,0.0003452926,0.00017474486,0.00010608483,0.000013967078,0.0020613722,0.009742738,0.60868937,0.37134796,0.005375706,0.0004299456],"about_ca_topic_score_codex":0.000010913415,"about_ca_topic_score_gemma":0.000039685063,"teacher_disagreement_score":0.48895466,"about_ca_system_score_codex":0.000028182038,"about_ca_system_score_gemma":0.00006820285,"threshold_uncertainty_score":0.44904357},"labels":[],"label_agreement":null},{"id":"W2943042435","doi":"10.28924/2291-8639-17-2019-361","title":"Linear Functionals Connected with Strong Double Cesaro Summability","year":2019,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Bivariate analysis; Pure mathematics; Functional analysis; Function (biology); Sequence (biology); Linear map; Statistics","score_opus":0.02598701021011135,"score_gpt":0.32970692884955766,"score_spread":0.3037199186394463,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2943042435","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7679088,0.000042383173,0.22878438,0.00091213605,0.000041639392,0.00017590288,0.000021531661,0.000014820816,0.0020983953],"genre_scores_gemma":[0.99198693,0.000022862925,0.007242259,0.00004696394,0.00013701967,0.000014336276,0.000019778003,0.0000059449235,0.00052387663],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99897987,0.00003569641,0.00039326915,0.00013768056,0.0003771914,0.000076315446],"domain_scores_gemma":[0.9982212,0.00027072922,0.00048476196,0.00015534287,0.0008058379,0.000062124294],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004651214,0.00008813637,0.00024177831,0.00024478452,0.00005810337,0.000056318044,0.00021348162,0.00003725858,0.00053528],"category_scores_gemma":[0.00003184685,0.000062967694,0.00013311692,0.0003589843,0.000066145614,0.00023831084,0.000024109026,0.00011893074,0.000011449307],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00052913965,0.00045905012,0.09094951,0.000031993175,0.0050501325,0.000003844749,0.00039082998,0.003434068,0.0017366864,0.8948728,0.00017434305,0.0023675926],"study_design_scores_gemma":[0.011483672,0.00097397907,0.0716556,0.00025625905,0.0073840455,0.0003984734,0.009416961,0.02488455,0.019070348,0.8100468,0.04287843,0.0015509162],"about_ca_topic_score_codex":0.000011256266,"about_ca_topic_score_gemma":0.000024099194,"teacher_disagreement_score":0.22407815,"about_ca_system_score_codex":0.00003588008,"about_ca_system_score_gemma":0.00004987133,"threshold_uncertainty_score":0.586094},"labels":[],"label_agreement":null},{"id":"W2949711074","doi":"10.48550/arxiv.1301.6874","title":"On local property of absolute summability of factored Fourier series","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"","keywords":"Mathematics; Fourier series; Absolute (philosophy); Series (stratigraphy); Property (philosophy); Class (philosophy); Pure mathematics; Local property; Fourier transform; Mathematical analysis; Combinatorics; Computer science; Philosophy","score_opus":0.12589843195928516,"score_gpt":0.21652967933181594,"score_spread":0.09063124737253078,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2949711074","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9442414,0.0000066935972,0.049953647,0.000040004375,0.00011558414,0.00054942264,0.00007589602,0.00006415425,0.0049531786],"genre_scores_gemma":[0.9933613,0.000021715376,0.0014666461,0.0000074508275,0.000014582687,0.0000017808873,0.000012421435,0.000019326671,0.0050947582],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986564,0.00021747041,0.00034620994,0.00046467717,0.00012210592,0.00019314645],"domain_scores_gemma":[0.9978555,0.0002669421,0.0005744401,0.0009182897,0.0003032982,0.00008152653],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00036013278,0.0002645027,0.0005568097,0.00011853475,0.000056250417,0.000011393416,0.0004960936,0.0003205367,0.0004282794],"category_scores_gemma":[0.00026182088,0.00020436765,0.00022994108,0.00016205489,0.00069562724,0.00021207116,0.00035478984,0.00035594034,0.000022542099],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003661647,0.00030794227,0.00047054584,0.0013007481,0.00017687946,0.000012373828,0.0010045841,0.013031288,0.0001501796,0.9825929,0.0003871072,0.00019929878],"study_design_scores_gemma":[0.00029111435,0.00014089662,0.00027814496,0.00022559841,0.00009730896,8.1801755e-7,0.0008588872,0.01916669,0.0041842926,0.97443455,0.000053637035,0.00026806982],"about_ca_topic_score_codex":0.00018249737,"about_ca_topic_score_gemma":0.000041193885,"teacher_disagreement_score":0.0491199,"about_ca_system_score_codex":0.00012091351,"about_ca_system_score_gemma":0.00014208072,"threshold_uncertainty_score":0.83338714},"labels":[],"label_agreement":null},{"id":"W2951884879","doi":"10.48550/arxiv.math/0611805","title":"Ultimate Generalization to Monotonicity for Uniform Convergence of Trigonometric Series","year":2006,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; St. Francis Xavier University; National Science Foundation","keywords":"Monotonic function; Mathematics; Sequence (biology); Generalization; Trigonometric series; Series (stratigraphy); Uniform convergence; Convergence (economics); Bounded function; Space (punctuation); Limit of a sequence; Bounded variation; Combinatorics; Discrete mathematics; Pure mathematics; Mathematical analysis; Limit (mathematics); Computer science","score_opus":0.09065102137159263,"score_gpt":0.33400305297887956,"score_spread":0.2433520316072869,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2951884879","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7958479,0.000050482347,0.20173453,0.0001529566,0.0002639147,0.0011421362,0.00016660732,0.00009012797,0.0005513281],"genre_scores_gemma":[0.93312263,0.000060732826,0.06429079,0.000052970685,0.0000972326,0.00031401834,0.00018732832,0.00004248837,0.0018318188],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984328,0.000062953775,0.0006770555,0.0003898369,0.000183038,0.00025427423],"domain_scores_gemma":[0.99823356,0.00019787597,0.00062841,0.00053491525,0.00033430764,0.00007093412],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0005883265,0.00027780316,0.00053244235,0.0003033268,0.00010756142,0.000027890055,0.00038027525,0.00025177357,0.00008049399],"category_scores_gemma":[0.0006012716,0.00026436624,0.0001726287,0.0004380661,0.000083217376,0.0001839255,0.00020203332,0.00015220752,0.000019481566],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008346654,0.00084040134,0.14656992,0.00948762,0.0005101555,0.0000054241095,0.007658425,0.03528323,0.0111029735,0.78166825,0.0042882785,0.0017506623],"study_design_scores_gemma":[0.000957742,0.00030041527,0.020589769,0.0003836044,0.00028968454,0.0000045446977,0.0004826491,0.015492749,0.26616472,0.69235337,0.0017498515,0.0012309288],"about_ca_topic_score_codex":0.000090864756,"about_ca_topic_score_gemma":0.00003755231,"teacher_disagreement_score":0.25506175,"about_ca_system_score_codex":0.000107021995,"about_ca_system_score_gemma":0.000120215234,"threshold_uncertainty_score":0.99998087},"labels":[],"label_agreement":null},{"id":"W2962895022","doi":"","title":"A Note On q-Bernoulli Numbers And q-Bernstein Polynomials.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Bernstein polynomial; Bernoulli's principle; Bernoulli polynomials; Discrete mathematics; Combinatorics; Pure mathematics; Difference polynomials; Orthogonal polynomials; Physics","score_opus":0.02743574576995265,"score_gpt":0.29928085485727407,"score_spread":0.2718451090873214,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2962895022","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9715207,0.000089809764,0.00007461783,0.00040037528,0.00087116606,0.00020857317,0.0000042866864,0.00011241339,0.026718056],"genre_scores_gemma":[0.9971335,0.00001303876,0.0013609341,0.00018372305,0.000031077925,0.00001867021,0.000002484955,0.000026830541,0.0012297755],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998983,0.000116103845,0.00020611903,0.00016939527,0.00020160738,0.00032377595],"domain_scores_gemma":[0.99895865,0.0004437644,0.00012048356,0.00028655463,0.000028309332,0.00016226448],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000600033,0.00016936279,0.00021924361,0.000054502725,0.00014279575,0.000036790756,0.0001266304,0.000113263864,0.000114959585],"category_scores_gemma":[0.00029409816,0.00015121565,0.000049439826,0.0001081971,0.00010090033,0.00035221654,0.000048934595,0.00016422529,0.00017567177],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028876957,0.00012519039,0.0011423453,0.000029099481,0.00001653054,0.0000017136185,0.0022686294,2.0544937e-7,0.00039579964,0.9936988,0.0016507861,0.0006420187],"study_design_scores_gemma":[0.00057105755,0.000068716916,0.00034170845,0.00004017172,0.000023987302,0.000011677114,0.00030811204,0.000021775842,0.0061429515,0.989733,0.0025252842,0.00021158477],"about_ca_topic_score_codex":0.000019424842,"about_ca_topic_score_gemma":0.0000031182112,"teacher_disagreement_score":0.025612764,"about_ca_system_score_codex":0.00005396617,"about_ca_system_score_gemma":0.000018277504,"threshold_uncertainty_score":0.6166395},"labels":[],"label_agreement":null},{"id":"W2963246510","doi":"10.1016/j.jmaa.2017.11.038","title":"Interpolatory pointwise estimates for monotone polynomial approximation","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pointwise; Combinatorics; Monotone polygon; Polynomial; Integer (computer science); Function (biology); Smoothness; Modulus of continuity; Monotonic function; Zero (linguistics); Interpolation (computer graphics); Discrete mathematics; Mathematical analysis; Type (biology); Geometry","score_opus":0.03871542721890213,"score_gpt":0.3509119181033526,"score_spread":0.31219649088445045,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963246510","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08404241,0.00006679785,0.9138338,0.0009052321,0.000014641433,0.00035896452,0.000013639411,0.000015278512,0.0007492133],"genre_scores_gemma":[0.8302063,0.000017669181,0.1692911,0.000026586466,0.00016138023,0.00008710113,0.0000034826367,0.000013007837,0.00019339],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988146,0.00002704105,0.00069088966,0.00014420749,0.0001875621,0.00013570176],"domain_scores_gemma":[0.99738353,0.0006593628,0.0011905533,0.00040720662,0.00023620388,0.00012311182],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010380677,0.00013580002,0.00053270895,0.00019933237,0.00046561263,0.00020498264,0.0003359029,0.000073946554,0.000068084955],"category_scores_gemma":[0.0008194182,0.00009940109,0.0003277726,0.00011127529,0.00020523129,0.0003404855,0.000051786254,0.00011518819,0.000006065078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006527869,0.00037477908,0.0004788141,0.0002758947,0.0010902579,9.074318e-7,0.00068592705,0.000016313423,0.0019778812,0.9894811,0.00036389614,0.0051889713],"study_design_scores_gemma":[0.00037273942,0.000053539992,0.0005333696,0.000044694447,0.0017586706,0.000020346712,0.00041461736,0.018435773,0.0022078848,0.9757544,0.00027324742,0.00013071999],"about_ca_topic_score_codex":0.0000014088729,"about_ca_topic_score_gemma":0.000002946194,"teacher_disagreement_score":0.7461639,"about_ca_system_score_codex":0.00002366884,"about_ca_system_score_gemma":0.00002598691,"threshold_uncertainty_score":0.4053459},"labels":[],"label_agreement":null},{"id":"W2963553191","doi":"10.4153/cmb-2015-024-9","title":"Hyperplanes in the Space of Convergent Sequences and Preduals of ℓ<sub>1</sub>","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Hyperplane; Mathematics; Dual polyhedron; Banach space; Projection (relational algebra); Space (punctuation); Basis (linear algebra); Pure mathematics; Combinatorics; Algorithm; Geometry; Computer science","score_opus":0.0481325009422598,"score_gpt":0.2684901197537399,"score_spread":0.22035761881148008,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963553191","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9885413,0.00013349015,0.00020708106,0.0037971383,0.00002994789,0.00035665827,0.00002489122,0.000009853322,0.006899629],"genre_scores_gemma":[0.99761677,0.000014113284,0.002109668,0.00011221963,0.000016104103,0.000022341217,0.0000023590749,0.000010132054,0.00009630256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987897,0.00020282013,0.00040061626,0.0001366103,0.00025178274,0.00021843541],"domain_scores_gemma":[0.9985292,0.00078202214,0.00015166192,0.0002464943,0.000080591235,0.00021004392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014855551,0.0001256009,0.000323972,0.000105422136,0.00003176163,0.000016157688,0.00022358041,0.000086083586,0.0003177982],"category_scores_gemma":[0.0015849245,0.0000864918,0.00003746118,0.00014459691,0.00036373653,0.000034139925,0.000020447373,0.00010523662,0.00009862619],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016094276,0.00006792683,0.00026300177,0.00040486202,0.000019792089,0.000020874428,0.009267087,0.00000797272,0.0016193511,0.98227674,0.005837257,0.00019903311],"study_design_scores_gemma":[0.0003422551,0.00010569013,0.00008905252,0.00024434962,0.000035958383,0.00007568017,0.01166666,0.00021675642,0.024845807,0.9608718,0.0013269705,0.00017902165],"about_ca_topic_score_codex":0.00035574698,"about_ca_topic_score_gemma":0.0007296116,"teacher_disagreement_score":0.023226457,"about_ca_system_score_codex":0.000034595865,"about_ca_system_score_gemma":0.00018823145,"threshold_uncertainty_score":0.3527033},"labels":[],"label_agreement":null},{"id":"W2963667816","doi":"10.1016/j.jat.2016.06.001","title":"Yet another look at positive linear operators, <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" display=\"inline\" overflow=\"scroll\"> <mml:mi>q</mml:mi> </mml:math> -monotonicity and applications","year":2016,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monotonic function; Smoothness; Monotone polygon; Polynomial; Function (biology); Combinatorics; Discrete mathematics; Mathematical analysis; Geometry","score_opus":0.01625451491178074,"score_gpt":0.2606798851796299,"score_spread":0.2444253702678492,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963667816","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92457473,0.00018387254,0.0726745,0.0005204669,0.00015367955,0.0001765625,0.000084331135,0.00006371809,0.0015681204],"genre_scores_gemma":[0.9824084,0.00023026115,0.01562676,0.0005563572,0.00045772915,0.0001379905,0.000031840962,0.00010099388,0.00044965124],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99764484,0.00026538275,0.0008513149,0.0003408821,0.0005513736,0.00034621064],"domain_scores_gemma":[0.9968411,0.0010499229,0.0012138849,0.00050709955,0.00020724934,0.00018078256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020548464,0.00029325185,0.00030531856,0.00014407873,0.00046441,0.0001408724,0.00038411445,0.0003329539,0.00011730497],"category_scores_gemma":[0.00059340114,0.00024475437,0.0002776392,0.0001843684,0.00042620226,0.0008596974,0.0001865133,0.0003407762,0.00023371444],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004692393,0.00018226572,0.000013351634,0.00015512781,0.00020698347,0.000018011733,0.001634514,0.000075733566,0.00786035,0.98780185,0.0002502958,0.0013322507],"study_design_scores_gemma":[0.0033711658,0.0008996526,0.00009472449,0.0012627136,0.0007037178,0.0010472935,0.003299977,0.33707458,0.17567778,0.4719006,0.0036600432,0.0010077313],"about_ca_topic_score_codex":0.0000051242364,"about_ca_topic_score_gemma":0.0000074635645,"teacher_disagreement_score":0.51590127,"about_ca_system_score_codex":0.000057831436,"about_ca_system_score_gemma":0.00020106815,"threshold_uncertainty_score":0.99807936},"labels":[],"label_agreement":null},{"id":"W2963923335","doi":"10.2298/pim1410169k","title":"New moduli of smoothness","year":2014,"lang":"en","type":"article","venue":"Digital Object Identifier (DOI) Repository Serbia (National Library of Serbia)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Moduli; Smoothness; Mathematics; Combinatorics; Modulus; Physics; Mathematical analysis; Crystallography; Geometry; Chemistry; Quantum mechanics","score_opus":0.01880580416926599,"score_gpt":0.255462543730072,"score_spread":0.236656739560806,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2963923335","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.74653846,0.00013506995,0.006973837,0.00033282436,0.00072532584,0.00047654912,0.0001007128,0.00029526246,0.24442194],"genre_scores_gemma":[0.9589823,0.000004556212,0.005261018,0.00007964233,0.00035708063,0.000014157701,0.00010659257,0.000065473585,0.035129193],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99686164,0.00014934034,0.0010913468,0.0004807866,0.001125922,0.00029094506],"domain_scores_gemma":[0.9974652,0.00075136515,0.0008267045,0.00046245015,0.00030011393,0.00019417173],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00037974038,0.00032360997,0.00057554984,0.00029097003,0.00015340513,0.0003011366,0.00066327216,0.00020002996,0.00027288863],"category_scores_gemma":[0.0004216965,0.00033020953,0.00032140242,0.00047177856,0.00024521395,0.0043891836,0.0001844632,0.0002096201,0.000043414366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00034928814,0.0006898173,0.011055717,0.0014081266,0.00044105205,0.000020440655,0.0018860141,0.0003977631,0.023887973,0.93355525,0.022627166,0.003681417],"study_design_scores_gemma":[0.0006878124,0.00014859339,0.0075603123,0.0003244268,0.000058278685,0.000044920547,0.00036861817,0.0007431948,0.21942729,0.76763636,0.0024957054,0.000504485],"about_ca_topic_score_codex":0.000015187595,"about_ca_topic_score_gemma":0.0000018407314,"teacher_disagreement_score":0.21244381,"about_ca_system_score_codex":0.000036303692,"about_ca_system_score_gemma":0.00033069545,"threshold_uncertainty_score":0.999915},"labels":[],"label_agreement":null},{"id":"W2971909100","doi":"10.28924/2291-8639-17-2019-711","title":"Generalized Statistical Convergence of Double Sequences in Paranormed Spaces","year":2019,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Convergence (economics); Sequence (biology); Space (punctuation); Cauchy distribution; Modes of convergence (annotated index); Pure mathematics; Limit of a sequence; Convergence tests; Mathematical analysis; Rate of convergence; Topological space; Computer science; Topological vector space","score_opus":0.025770725072563682,"score_gpt":0.35012185326139716,"score_spread":0.3243511281888335,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2971909100","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9081567,0.00008743306,0.09051182,0.0004495844,0.000050330946,0.00011416323,0.000020942949,0.0000034065338,0.00060564553],"genre_scores_gemma":[0.9876253,0.00017992077,0.011933607,0.000022364558,0.000034395987,0.000009708664,0.000007748245,0.0000030177391,0.00018394926],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989676,0.00004473558,0.00052200555,0.000097798955,0.00030102965,0.00006683366],"domain_scores_gemma":[0.99880266,0.00026343556,0.00049928017,0.000094896415,0.00029907722,0.00004067731],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004759523,0.000065932974,0.0002795207,0.00031113677,0.000017765395,0.00002960083,0.00023071253,0.000032229036,0.0004030869],"category_scores_gemma":[0.000040739134,0.000051834297,0.00009191554,0.00033573923,0.00008833717,0.00015819732,0.000021259339,0.00007517547,0.0000040799728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010186398,0.000115054165,0.056028865,0.000020206899,0.0005800116,0.0000028631378,0.00039367485,0.000787583,0.0035252103,0.937741,0.0000369172,0.0006667504],"study_design_scores_gemma":[0.002883148,0.00013897431,0.02025104,0.00010146297,0.0008347972,0.000051601644,0.0028029613,0.009152374,0.016836615,0.94426626,0.0023506735,0.00033007094],"about_ca_topic_score_codex":0.00004889878,"about_ca_topic_score_gemma":0.000049692102,"teacher_disagreement_score":0.079468615,"about_ca_system_score_codex":0.00002168714,"about_ca_system_score_gemma":0.00004603534,"threshold_uncertainty_score":0.4413519},"labels":[],"label_agreement":null},{"id":"W2980084962","doi":"10.3390/axioms8040111","title":"Approximation Properties of an Extended Family of the Szász–Mirakjan Beta-Type Operators","year":2019,"lang":"en","type":"article","venue":"Axioms","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Modulus of continuity; Type (biology); Mathematics; Lipschitz continuity; BETA (programming language); Class (philosophy); Convergence (economics); Smoothness; Nonlinear system; Applied mathematics; Extension (predicate logic); Operator theory; Pure mathematics; Mathematical analysis; Computer science; Physics; Quantum mechanics","score_opus":0.047932373444967244,"score_gpt":0.27822462496048017,"score_spread":0.2302922515155129,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2980084962","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.996818,0.000060888244,0.00040411728,0.000086018845,0.00018704249,0.0005136106,0.0000036077583,0.00003438268,0.00189234],"genre_scores_gemma":[0.997887,0.000004053046,0.0011919204,0.000041706764,0.000018240156,0.000010854883,0.0000026049422,0.000016819333,0.0008267778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9989211,0.00016324034,0.00034857017,0.00015339097,0.00028744843,0.00012622745],"domain_scores_gemma":[0.99896234,0.00004439405,0.00026292884,0.0005290634,0.00017278273,0.000028505132],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00050341286,0.00011834336,0.0002481248,0.00005108423,0.00005809653,0.00001375886,0.0003208666,0.00007744182,0.000063749685],"category_scores_gemma":[0.0001608475,0.00007048249,0.0000704576,0.00025269992,0.00016573632,0.00030412045,0.000052818843,0.00008815595,0.000021922799],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007049908,0.00018659297,0.000210784,0.0003632873,0.000045188262,1.9787363e-7,0.0076040598,0.00006707204,0.48280725,0.5075957,0.000029386658,0.0010199518],"study_design_scores_gemma":[0.000320406,0.00020243105,0.0011531683,0.00019747128,0.00004372842,0.0000034583932,0.0068118004,0.003131614,0.92659056,0.061328467,0.00003594706,0.00018096823],"about_ca_topic_score_codex":0.000020436231,"about_ca_topic_score_gemma":0.0000053201684,"teacher_disagreement_score":0.44626728,"about_ca_system_score_codex":0.000015534035,"about_ca_system_score_gemma":0.000059935137,"threshold_uncertainty_score":0.28741926},"labels":[],"label_agreement":null},{"id":"W2992598313","doi":"","title":"The Voronovskaja type theorem for an extension of Kantorovich operators","year":2010,"lang":"en","type":"article","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Modulus of continuity; Class (philosophy); Type (biology); Order (exchange); Extension (predicate logic); Pure mathematics; Convergence (economics); Operator theory; Computer science","score_opus":0.047262305901900725,"score_gpt":0.3427253515413358,"score_spread":0.2954630456394351,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2992598313","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97946733,0.000017124401,0.006841444,0.00023357087,0.00033374247,0.00038003715,0.0000031142547,0.000060066686,0.012663575],"genre_scores_gemma":[0.97604376,0.000005177129,0.022017455,0.000052098312,0.00006489096,0.000012816959,0.0000024351016,0.000013576025,0.0017877962],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943703,0.000047299673,0.00018323789,0.00011537033,0.000096260665,0.00012080203],"domain_scores_gemma":[0.99875134,0.0005134449,0.0000832313,0.00038849187,0.00022439049,0.00003910566],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010440946,0.00007653063,0.000110225716,0.000016138529,0.00018994279,0.000027797747,0.0002023287,0.00006516367,0.00014286033],"category_scores_gemma":[0.00070701697,0.000040573716,0.000037480077,0.000063104584,0.0001344822,0.0001377119,0.000020627775,0.000080616504,0.000008266533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004400209,0.000032100677,0.000029712754,0.000013865786,0.0000067378655,4.935629e-8,0.0004533189,7.431621e-7,0.04877397,0.94806844,0.0004778966,0.0020991794],"study_design_scores_gemma":[0.00015592467,0.00015549667,0.00005120585,0.0000059407594,0.0000132460755,0.000002524167,0.0015260855,0.0015622209,0.06439704,0.9298675,0.002177353,0.00008545642],"about_ca_topic_score_codex":0.0000070950623,"about_ca_topic_score_gemma":0.00014164436,"teacher_disagreement_score":0.018200915,"about_ca_system_score_codex":0.0000040453433,"about_ca_system_score_gemma":0.000037926202,"threshold_uncertainty_score":0.1654548},"labels":[],"label_agreement":null},{"id":"W2993639922","doi":"10.1016/j.jat.2019.105345","title":"Best polynomial approximation in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e25\" altimg=\"si15.svg\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mi>S</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> for the simplex <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e46\" altimg=\"si16.svg\"><mml:mi>S</mml:mi></mml:math>","year":2019,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Converse; Norm (philosophy); Simplex; Combinatorics; Polynomial; Algorithm; Geometry; Mathematical analysis","score_opus":0.021539239940841507,"score_gpt":0.25745886228394904,"score_spread":0.23591962234310754,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W2993639922","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.57458967,0.002630004,0.0064969095,0.0019476879,0.0062452015,0.0002312754,0.0013248543,0.00061555783,0.40591884],"genre_scores_gemma":[0.96467274,0.0032692247,0.009385728,0.0035217674,0.0068922318,0.004168411,0.004447843,0.0027665913,0.0008754682],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9721217,0.0022060093,0.0071902378,0.004490688,0.0075434875,0.0064478363],"domain_scores_gemma":[0.9724257,0.0076924325,0.010155434,0.005748443,0.00088444515,0.0030935563],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","research_integrity","insufficient_payload"],"category_scores_codex":[0.010949502,0.002921211,0.0012737692,0.0022218535,0.0047960565,0.0050281095,0.0071136113,0.0073214164,0.46146432],"category_scores_gemma":[0.00786692,0.0052860947,0.0060106902,0.0035345368,0.0052190963,0.006492183,0.004595654,0.0060523916,0.005672749],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00629753,0.0012392569,0.000016401462,0.004252531,0.0043071155,0.001717041,0.0072591244,0.0057866056,0.004728578,0.7139114,0.24665007,0.0038343442],"study_design_scores_gemma":[0.0057892795,0.0041260757,0.00007580694,0.004007417,0.0048616324,0.0049844137,0.012296118,0.1809865,0.7704963,0.002455924,0.005656722,0.0042638327],"about_ca_topic_score_codex":0.002103067,"about_ca_topic_score_gemma":0.0020758754,"teacher_disagreement_score":0.7657677,"about_ca_system_score_codex":0.00009840979,"about_ca_system_score_gemma":0.0054252488,"threshold_uncertainty_score":0.9983519},"labels":[],"label_agreement":null},{"id":"W3008859679","doi":"10.1007/s11749-020-00706-2","title":"On the concept of B-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense","year":2020,"lang":"en","type":"article","venue":"Test","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Law of large numbers; Random variable; Sequence (biology); Combinatorics; Integrable system; Pairwise comparison; Weak convergence; Characterization (materials science); Random matrix; Discrete mathematics; Pure mathematics; Statistics; Physics","score_opus":0.021843868624382864,"score_gpt":0.27668065443354894,"score_spread":0.2548367858091661,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3008859679","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9246122,0.00002633697,0.06635646,0.0016362579,0.000015857091,0.0010376696,0.000962213,0.000013707867,0.0053392923],"genre_scores_gemma":[0.99626666,0.000004598616,0.0035709827,0.00012839017,0.0000037188227,0.00000821415,0.0000071401887,0.0000052371124,0.0000050618737],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99860626,0.00051797373,0.0004172736,0.00010709647,0.00025221595,0.00009915285],"domain_scores_gemma":[0.9809875,0.018407576,0.00024842905,0.00022695871,0.00010423007,0.000025297175],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016739491,0.00009620587,0.00037074846,0.000008472809,0.00003880587,0.0000047794438,0.00015817747,0.00003607723,0.00025046858],"category_scores_gemma":[0.0029790758,0.000039178994,0.000026801057,0.0001595602,0.0021730158,0.00003376772,0.000026837088,0.00015446142,6.2342343e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000848363,0.00011650768,0.000425606,0.00015705128,0.000025943898,0.0000015850092,0.014826496,0.0000037214686,0.00015968818,0.983331,0.00009186519,0.000012162897],"study_design_scores_gemma":[0.0038230645,0.00043009283,0.0002434914,0.00013470382,0.000112218855,0.000005529262,0.017858045,0.012169056,0.015114738,0.95000035,0.00001561248,0.00009307599],"about_ca_topic_score_codex":0.00015399879,"about_ca_topic_score_gemma":0.0001191572,"teacher_disagreement_score":0.07165445,"about_ca_system_score_codex":0.0000056601184,"about_ca_system_score_gemma":0.00004220524,"threshold_uncertainty_score":0.8006568},"labels":[],"label_agreement":null},{"id":"W3010914133","doi":"10.1007/s10959-020-01000-5","title":"Products of Conditional Expectation Operators: Convergence and Divergence","year":2020,"lang":"en","type":"article","venue":"Journal of Theoretical Probability","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Concordia University","funders":"China Scholarship Council; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Omega; Conditional expectation; Conjecture; Regular conditional probability; Divergence (linguistics); Conditional probability distribution; Combinatorics; Random variable; Probability measure; Space (punctuation); Discrete mathematics; Physics; Quantum mechanics; Statistics","score_opus":0.05169378059269823,"score_gpt":0.29780717150017033,"score_spread":0.24611339090747208,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3010914133","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9647332,0.000053608135,0.03151585,0.0032480808,0.00006162944,0.0001909149,0.000008495563,0.000009597288,0.0001786516],"genre_scores_gemma":[0.98001194,0.00000898231,0.019821981,0.00007569266,0.0000712423,0.0000022115757,7.8284256e-7,0.000004546885,0.000002628091],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99868524,0.00024705287,0.00054400513,0.00013511935,0.0002990765,0.000089524634],"domain_scores_gemma":[0.99851567,0.00041042815,0.0003519461,0.000101836544,0.0005020168,0.000118115415],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010135982,0.00008734684,0.00026035952,0.000021762797,0.00004485323,0.000011602424,0.00015392815,0.000047272166,0.00046356433],"category_scores_gemma":[0.006697693,0.00006357888,0.000057834462,0.00013194482,0.0008985922,0.00023647406,0.000045204688,0.00015408991,0.0000024201734],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019497902,0.00009407009,0.0018768694,0.0002543697,0.000021882977,0.0000023965247,0.0022094222,0.000021473697,0.0063556507,0.98877287,0.00013159527,0.00006439943],"study_design_scores_gemma":[0.00020929711,0.00026335355,0.0005497767,0.000030893745,0.000028717552,0.000017851018,0.00048261843,0.0006017671,0.043550894,0.95418835,0.000010209291,0.00006629191],"about_ca_topic_score_codex":2.2405345e-7,"about_ca_topic_score_gemma":4.6180002e-8,"teacher_disagreement_score":0.037195243,"about_ca_system_score_codex":0.000018787663,"about_ca_system_score_gemma":0.000078299134,"threshold_uncertainty_score":0.80182475},"labels":[],"label_agreement":null},{"id":"W3018521893","doi":"10.3390/math8040636","title":"Statistical Deferred Nörlund Summability and Korovkin-Type Approximation Theorem","year":2020,"lang":"en","type":"article","venue":"Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Banach space; Type (biology); Algebraic number; Discrete mathematics; Convergence (economics); Pure mathematics; Mathematical analysis","score_opus":0.09210278732835078,"score_gpt":0.32196998440774016,"score_spread":0.22986719707938938,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3018521893","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.49437425,0.000056427863,0.4929064,0.0013638943,0.000077279896,0.00080979685,0.000044195447,0.00037297516,0.009994785],"genre_scores_gemma":[0.7797953,0.00001036412,0.21971266,0.00020840955,0.000068009016,0.000018047303,0.000020214766,0.00003652988,0.00013049805],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984061,0.00015215346,0.0005179725,0.00032752746,0.00033324488,0.0002629632],"domain_scores_gemma":[0.9980094,0.0011291894,0.00021102608,0.00033356211,0.00011544138,0.00020138838],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007623721,0.00023939986,0.00041034684,0.000036420883,0.00015174541,0.00010341509,0.00019715875,0.00012249063,0.00038095182],"category_scores_gemma":[0.0032518015,0.0002002963,0.000049193208,0.0002151676,0.00026655916,0.00020468084,0.00009883934,0.00020309797,0.00009197393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004471465,0.00012485405,0.00013129509,0.00083621015,0.000029907973,0.000004537663,0.0077475994,0.0000054049024,0.0005785647,0.98886675,0.0008052287,0.0008249334],"study_design_scores_gemma":[0.00032799548,0.000116492694,0.00006541221,0.00003773083,0.00006747923,0.000017080136,0.0022032177,0.028382223,0.0013801712,0.9668413,0.00031221003,0.00024870204],"about_ca_topic_score_codex":0.0000015121318,"about_ca_topic_score_gemma":0.0000020428542,"teacher_disagreement_score":0.285421,"about_ca_system_score_codex":0.00003229991,"about_ca_system_score_gemma":0.000040755258,"threshold_uncertainty_score":0.8167846},"labels":[],"label_agreement":null},{"id":"W3029916867","doi":"10.3390/sym12060915","title":"Difference of Some Positive Linear Approximation Operators for Higher-Order Derivatives","year":2020,"lang":"en","type":"article","venue":"Symmetry","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Hasso Plattner Foundation; Universitatea \"Lucian Blaga\" din Sibiu","keywords":"Baskakov operator; Mathematics; Operator theory; Order (exchange); Applied mathematics; Constant coefficients; Type (biology); Microlocal analysis; Mathematical analysis; Pure mathematics; Fourier integral operator","score_opus":0.05495702076000919,"score_gpt":0.3150517698018273,"score_spread":0.2600947490418181,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3029916867","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6801264,0.00011080084,0.31360325,0.002838219,0.0001253437,0.0008898595,0.00011060444,0.0001317218,0.0020637445],"genre_scores_gemma":[0.92872775,0.000005098112,0.07040123,0.00042171447,0.00012816237,0.000042770527,0.000023999888,0.000020807804,0.00022848784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991395,0.00007921677,0.00028139428,0.00019980234,0.0001551175,0.00014496328],"domain_scores_gemma":[0.99902815,0.00041548538,0.00018434662,0.00013474679,0.00017165267,0.000065602144],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001723336,0.00013719224,0.0002671737,0.000047010235,0.000078779674,0.000015042178,0.0001570125,0.00008262127,0.00005212335],"category_scores_gemma":[0.000740061,0.00011446139,0.00006659448,0.0002632422,0.00010738387,0.00021504599,0.00003818433,0.00009110261,0.000008224656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006879676,0.00007119156,0.00015375046,0.00033408296,0.000051439307,4.068581e-7,0.0030706974,0.000011874658,0.016065756,0.97933364,0.00014626319,0.0006920785],"study_design_scores_gemma":[0.00076529756,0.00033002754,0.00047997106,0.00009351197,0.000053319804,8.36765e-7,0.0021886781,0.008111608,0.31844655,0.66909796,0.00013067148,0.00030156653],"about_ca_topic_score_codex":0.0000017266852,"about_ca_topic_score_gemma":1.9098304e-7,"teacher_disagreement_score":0.31023568,"about_ca_system_score_codex":0.000015997717,"about_ca_system_score_gemma":0.00003545597,"threshold_uncertainty_score":0.46676},"labels":[],"label_agreement":null},{"id":"W3033864497","doi":"10.1007/s13398-020-00875-7","title":"Statistical probability convergence via the deferred Nörlund mean and its applications to approximation theorems","year":2020,"lang":"es","type":"article","venue":"Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Convergence of random variables; Random variable; Banach space; Convergence (economics); Weak convergence; Algebraic number; Central limit theorem; Discrete mathematics; Applied mathematics; Statistics; Mathematical analysis; Computer science","score_opus":0.03437271002769627,"score_gpt":0.3254492718223546,"score_spread":0.29107656179465835,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3033864497","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8645455,0.0026148786,0.11000969,0.012685897,0.000053293537,0.0059516802,0.0005765723,0.0004962136,0.0030662697],"genre_scores_gemma":[0.98142576,0.001583677,0.014422837,0.0015342891,0.0002762652,0.0005437843,0.00005954221,0.0000869135,0.00006692468],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99361724,0.00204166,0.0012670995,0.0011760304,0.00084124284,0.001056734],"domain_scores_gemma":[0.9926714,0.0045487476,0.00067590777,0.0007140467,0.000338863,0.0010510605],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0039914683,0.0007299121,0.0009172952,0.00010501115,0.00076571445,0.0008542845,0.0012090066,0.0010625311,0.00019908005],"category_scores_gemma":[0.0045977565,0.00055768737,0.00018111542,0.0011907177,0.0011950922,0.0006514968,0.0004783993,0.0022819028,0.0001642794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002442928,0.00011520784,0.00047549413,0.0023576228,0.000094520634,0.000022755386,0.008453659,0.000043694457,0.0139599405,0.9711954,0.0004284343,0.0026089547],"study_design_scores_gemma":[0.0016163624,0.0008292167,0.00805182,0.0013256285,0.0018851121,0.0011013746,0.0071221334,0.14088966,0.01891349,0.7777129,0.03733593,0.0032164082],"about_ca_topic_score_codex":0.000017991875,"about_ca_topic_score_gemma":0.0000025035781,"teacher_disagreement_score":0.19348256,"about_ca_system_score_codex":0.0005224521,"about_ca_system_score_gemma":0.00042278907,"threshold_uncertainty_score":0.99968743},"labels":[],"label_agreement":null},{"id":"W3039907570","doi":"10.1007/s10474-020-01063-0","title":"Interpolatory pointwise estimates for convex polynomial approximation","year":2020,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Pointwise; Regular polygon; Polynomial; Applied mathematics; Mathematical analysis; Geometry","score_opus":0.06952895555132946,"score_gpt":0.3266046481603358,"score_spread":0.2570756926090063,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3039907570","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21530907,0.00027240298,0.71635044,0.04376179,0.00104265,0.0058385525,0.0002129763,0.002114539,0.015097588],"genre_scores_gemma":[0.83227116,0.0000061767705,0.16483462,0.0014906646,0.00032049604,0.00022297511,0.000039032235,0.00009978967,0.00071511115],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99662346,0.00013504921,0.001047972,0.0007983851,0.00064817374,0.00074698805],"domain_scores_gemma":[0.99661803,0.0014974553,0.00069684465,0.00053977384,0.00018791891,0.00045999876],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0017712084,0.0004710937,0.0007716719,0.00019584475,0.00049109955,0.00023786128,0.0010465658,0.00040242448,0.00048151606],"category_scores_gemma":[0.0056021027,0.00041408057,0.00031960005,0.00057481776,0.00046877004,0.0009836691,0.0002712641,0.00060519594,0.00024361565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00033816285,0.00044189574,0.00011594059,0.0026576463,0.000321007,0.000004897348,0.024185935,0.000009938173,0.10321161,0.72973615,0.13771865,0.0012581578],"study_design_scores_gemma":[0.0017553847,0.00030088957,0.00004856369,0.00026453487,0.00043091123,0.000038140446,0.003781185,0.14060034,0.07075579,0.7733103,0.0075999014,0.0011140445],"about_ca_topic_score_codex":0.0000010200533,"about_ca_topic_score_gemma":7.1306783e-7,"teacher_disagreement_score":0.6169621,"about_ca_system_score_codex":0.00009578607,"about_ca_system_score_gemma":0.00013226204,"threshold_uncertainty_score":0.9998311},"labels":[],"label_agreement":null},{"id":"W3111953324","doi":"10.2298/aadm190220039s","title":"A certain class of statistical probability convergence and its applications to approximation theorems","year":2020,"lang":"en","type":"article","venue":"Applicable Analysis and Discrete Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Convergence of random variables; Random variable; Banach space; Convolution (computer science); Convergence (economics); Rate of convergence; Weak convergence; Class (philosophy); Discrete mathematics; Applied mathematics; Statistics; Key (lock); Computer science","score_opus":0.04243660841404268,"score_gpt":0.31036706932851743,"score_spread":0.26793046091447476,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3111953324","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1351967,0.00005036522,0.86147964,0.0007026696,0.000002358257,0.0010700517,0.00009702722,0.00005399039,0.0013471767],"genre_scores_gemma":[0.8698975,0.000029988649,0.12952535,0.00012283988,0.000018199093,0.00030644482,0.000025468871,0.000015929652,0.000058286965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983547,0.00008228307,0.00063927454,0.00042575228,0.00028980902,0.0002082266],"domain_scores_gemma":[0.99823695,0.00073565845,0.00029169038,0.00033279805,0.0001345811,0.00026830146],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006594822,0.00020943189,0.0006432567,0.00009323115,0.0001291799,0.000054319724,0.00018403486,0.00008423617,0.0001344232],"category_scores_gemma":[0.00052144006,0.0001693126,0.000089853325,0.00091922143,0.00016632523,0.00012060213,0.00012380429,0.00010121865,0.000014687047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000210935,0.00008565687,0.00023349315,0.0008792723,0.0001949226,3.0315942e-7,0.0024742822,0.00008398473,0.0023198822,0.9931596,0.000047023354,0.00050048257],"study_design_scores_gemma":[0.00017565333,0.00007414009,0.00006295217,0.00001952587,0.0007565972,0.0000017100526,0.0017855277,0.16021116,0.0044002957,0.83208615,0.00019099093,0.0002353251],"about_ca_topic_score_codex":0.000007822339,"about_ca_topic_score_gemma":0.00000832968,"teacher_disagreement_score":0.7347008,"about_ca_system_score_codex":0.000013822286,"about_ca_system_score_gemma":0.000022203492,"threshold_uncertainty_score":0.6904367},"labels":[],"label_agreement":null},{"id":"W3119510954","doi":"10.1016/j.jat.2021.105538","title":"Exact order of pointwise estimates for polynomial approximation with Hermite interpolation","year":2021,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pointwise; Mathematics; Hermite interpolation; Hermite polynomials; Order (exchange); Polynomial; Function (biology); Interpolation (computer graphics); Constant (computer programming); Algebraic number; Combinatorics; Cubic Hermite spline; Mathematical analysis; Applied mathematics; Linear interpolation; Bicubic interpolation","score_opus":0.025228023881511207,"score_gpt":0.2982833131783093,"score_spread":0.2730552892967981,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3119510954","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23621167,0.00017737962,0.76129013,0.0003082246,0.00016114464,0.00044789803,0.000016804943,0.000035326848,0.0013514324],"genre_scores_gemma":[0.61008567,0.000011452206,0.38929775,0.000059459864,0.00016187658,0.000020881303,0.000029587865,0.000043117117,0.0002901915],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977072,0.0003085195,0.0011261301,0.0002007301,0.00044291944,0.00021452956],"domain_scores_gemma":[0.99458593,0.0014183834,0.0019985521,0.00029566447,0.0016132256,0.0000882199],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002440493,0.00023953231,0.00057713693,0.00027552436,0.000118021104,0.00007202094,0.00021450054,0.000139671,0.00019972026],"category_scores_gemma":[0.0023580045,0.00018492444,0.00020679456,0.00040627507,0.0001638656,0.000959502,0.00003127473,0.00021157645,0.0000033229871],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.004278175,0.00084360095,0.00021995496,0.0016006274,0.00059437094,0.000014475688,0.009234455,0.0007801586,0.0675452,0.9041375,0.0010099924,0.009741525],"study_design_scores_gemma":[0.0024926614,0.0006111409,0.000147984,0.00057409884,0.00034298305,0.00032482177,0.0068164896,0.015724665,0.18439612,0.78813255,0.00012422408,0.00031226932],"about_ca_topic_score_codex":7.4140905e-7,"about_ca_topic_score_gemma":0.0000025887166,"teacher_disagreement_score":0.373874,"about_ca_system_score_codex":0.00007613678,"about_ca_system_score_gemma":0.00028588437,"threshold_uncertainty_score":0.75409997},"labels":[],"label_agreement":null},{"id":"W3122415014","doi":"10.2139/ssrn.3167531","title":"Convergence of Random Bounded Linear Operators in the Skorokhod Space","year":2018,"lang":"en","type":"article","venue":"SSRN Electronic Journal","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Bounded function; Mathematics; Convergence (economics); Space (punctuation); Bounded operator; Mathematical analysis; Applied mathematics; Pure mathematics; Computer science; Economics","score_opus":0.020857669870941994,"score_gpt":0.3078773998248653,"score_spread":0.2870197299539233,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3122415014","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95689803,0.0003442862,0.03961022,0.0010285651,0.00013100002,0.00021420978,0.0000010876206,0.000014528644,0.0017580456],"genre_scores_gemma":[0.9975523,0.0004036341,0.0011975542,0.00007773046,0.00019271304,0.0000051801494,4.4970994e-7,0.000011564215,0.0005588699],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980595,0.0003677782,0.00034802238,0.00011200019,0.00027170224,0.0008410068],"domain_scores_gemma":[0.99914926,0.0002651671,0.00022087812,0.00020553898,0.00012840965,0.00003074461],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005183217,0.00011527859,0.00021168248,0.000075768396,0.00018039474,0.000027490656,0.00041173107,0.00006238156,0.00011777972],"category_scores_gemma":[0.0004982205,0.00007264782,0.00007912683,0.00026938695,0.00022205757,0.0001826703,0.000019271076,0.0008244574,0.000024114172],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014398666,0.00005921609,0.00032188738,0.00000955356,0.000039008002,0.000001994549,0.0030572375,0.0000038744565,0.000790731,0.9952241,0.00007279915,0.00027556607],"study_design_scores_gemma":[0.0010873576,0.00027010206,0.00002381946,0.000028185694,0.000020720057,0.00016674715,0.010053655,0.0003969962,0.005367732,0.9822037,0.00028552787,0.000095429656],"about_ca_topic_score_codex":0.000022326136,"about_ca_topic_score_gemma":0.0004500859,"teacher_disagreement_score":0.040654246,"about_ca_system_score_codex":0.00014711235,"about_ca_system_score_gemma":0.0008470783,"threshold_uncertainty_score":0.3581903},"labels":[],"label_agreement":null},{"id":"W3135938516","doi":"10.1080/01630563.2021.1895830","title":"Negative Difference Operator and Its Associated Sequence Space","year":2021,"lang":"en","type":"article","venue":"Numerical Functional Analysis and Optimization","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Dual polyhedron; Operator (biology); Hilbert space; Sequence space; Multiplication operator; Sequence (biology); Compact operator; Norm (philosophy); Matrix (chemical analysis); Operator norm; Operator space; Pure mathematics; Operator matrix; Finite-rank operator; Combinatorics; Banach space; Extension (predicate logic); Computer science","score_opus":0.04084824960182937,"score_gpt":0.27826472318803647,"score_spread":0.2374164735862071,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3135938516","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19372049,0.00016085264,0.8043911,0.0010439534,0.00003770512,0.0000853715,0.000026633763,0.000053983378,0.00047992697],"genre_scores_gemma":[0.96681535,0.00017686062,0.0305147,0.00022656472,0.000031264735,0.000015692736,0.00011892403,0.000008864132,0.0020917936],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9989683,0.00017260725,0.000206108,0.0003038294,0.00022805223,0.00012107097],"domain_scores_gemma":[0.99896187,0.00038873116,0.00012022214,0.00008601812,0.0003502278,0.00009290733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00018266635,0.00012681834,0.0002721409,0.000079427205,0.00024133784,0.00008781972,0.000034486144,0.000078024714,0.0005925945],"category_scores_gemma":[0.0011639057,0.0001066235,0.000065554974,0.0009719876,0.00005158025,0.00018959554,0.000038010974,0.00010059423,0.000003219244],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014738423,0.00056159915,0.025336651,0.00008780291,0.0026855557,0.000024864916,0.0015076387,0.36163917,0.006245356,0.6001407,0.0002130581,0.0014102417],"study_design_scores_gemma":[0.000267742,0.000036538022,0.007016538,0.000017798726,0.00056298176,0.000006927587,0.00032672906,0.96034884,0.002135224,0.029055875,0.00001436949,0.00021044],"about_ca_topic_score_codex":0.000009698137,"about_ca_topic_score_gemma":0.0000118109665,"teacher_disagreement_score":0.77387637,"about_ca_system_score_codex":0.000027694596,"about_ca_system_score_gemma":0.00004148781,"threshold_uncertainty_score":0.6488494},"labels":[],"label_agreement":null},{"id":"W3136734521","doi":"10.2298/fil2010265k","title":"Bézier variant of the Szász-Durrmeyer type operators based on the Poisson-Charlier polynomials","year":2020,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Type (biology); Poisson distribution; Shift theorem; Rate of convergence; Modulus of continuity; Bernstein polynomial; Bounded variation; Smoothness; Pure mathematics; Mathematical analysis; Fixed-point theorem; Picard–Lindelöf theorem; Statistics","score_opus":0.07001370156635874,"score_gpt":0.28128874401027665,"score_spread":0.21127504244391793,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3136734521","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9248047,0.000036255704,0.0012500037,0.049532592,0.00047377936,0.0010396854,0.00009877087,0.0001247509,0.022639448],"genre_scores_gemma":[0.99469805,0.0000015906891,0.0009852805,0.0035148605,0.00009989797,0.000016746671,0.0000025741326,0.00002363816,0.00065734633],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9988844,0.0002540615,0.0002604016,0.00016966274,0.00027052188,0.00016098254],"domain_scores_gemma":[0.9987162,0.0005258912,0.00016526673,0.00046585355,0.0000686573,0.00005817091],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00047267968,0.00014439796,0.00020669155,0.000020040892,0.00016113656,0.000034427703,0.0004020472,0.000075777316,0.003049749],"category_scores_gemma":[0.0010839937,0.000071445174,0.00010109706,0.000250183,0.00011096117,0.000066951325,0.0000645119,0.00015970178,0.00020288913],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00025534732,0.00015270786,0.00042953494,0.00017594217,0.000105720486,0.000012430905,0.007226571,0.00025504726,0.018918611,0.91032743,0.06196055,0.00018007736],"study_design_scores_gemma":[0.0027219078,0.0008934309,0.0028747288,0.00065237284,0.00037690334,0.000032332355,0.0054081767,0.046113204,0.63115567,0.27485102,0.03344903,0.001471187],"about_ca_topic_score_codex":0.000004632608,"about_ca_topic_score_gemma":0.0000010116288,"teacher_disagreement_score":0.6354764,"about_ca_system_score_codex":0.000018145645,"about_ca_system_score_gemma":0.00008004673,"threshold_uncertainty_score":0.9978616},"labels":[],"label_agreement":null},{"id":"W3148873124","doi":"10.2298/fil2013329g","title":"Convergence estimates of a family of approximation operators of exponential type","year":2020,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Ministerio de Ciencia, Innovación y Universidades","keywords":"Mathematics; Exponential type; Exponential function; Type (biology); Modulus of continuity; Convergence (economics); Exponential growth; Exponential family; Exponential formula; Asymptotic formula; Applied mathematics; Mathematical analysis; Double exponential function","score_opus":0.0917500577756574,"score_gpt":0.31867501203503673,"score_spread":0.22692495425937934,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3148873124","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9836697,0.000068151254,0.014890475,0.00006764378,0.00006937764,0.00020197703,0.000027006117,0.000033662964,0.0009720221],"genre_scores_gemma":[0.9659311,0.000013100771,0.033979632,0.000020131196,0.000014132423,0.000004910432,0.000010189788,0.000009739648,0.000017041557],"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.9991522,0.000045851688,0.0004170586,0.00010981297,0.00019493564,0.0000801377],"domain_scores_gemma":[0.9991805,0.00013589775,0.00032841178,0.00015279285,0.00016472036,0.000037683298],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00016927895,0.00008872762,0.0002872362,0.00003714965,0.00001915688,0.0000036652825,0.00015417945,0.00005322982,0.0003983353],"category_scores_gemma":[0.0005129092,0.0000776176,0.00005384513,0.00022209347,0.00011926481,0.00013334039,0.00003847957,0.000041966938,0.000014087761],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00020089309,0.00013982915,0.0013104444,0.0018043229,0.00007292409,0.0000013439537,0.008596308,0.00007448838,0.7320855,0.25468728,0.0006525399,0.0003740993],"study_design_scores_gemma":[0.00031407122,0.00022242272,0.00033399437,0.00010261229,0.00004493184,0.0000012162427,0.0013224897,0.010149713,0.93445265,0.052906524,0.00003555776,0.00011379096],"about_ca_topic_score_codex":0.0000070063275,"about_ca_topic_score_gemma":2.4531028e-7,"teacher_disagreement_score":0.20236716,"about_ca_system_score_codex":0.000005019018,"about_ca_system_score_gemma":0.00003887694,"threshold_uncertainty_score":0.43614924},"labels":[],"label_agreement":null},{"id":"W3156783353","doi":"10.1002/mma.7382","title":"Statistical product convergence of martingale sequences and its applications to Korovkin‐type approximation theorems","year":2021,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Martingale (probability theory); Martingale difference sequence; Local martingale; Banach space; Sequence (biology); Infinite product; Applied mathematics; Pure mathematics; Discrete mathematics; Calculus (dental)","score_opus":0.1436478847744081,"score_gpt":0.45214032274389787,"score_spread":0.3084924379694898,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3156783353","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09219313,0.00016900852,0.88724226,0.0012619051,0.000054978053,0.0013329592,0.00000949989,0.00005038011,0.017685892],"genre_scores_gemma":[0.39903316,0.000009300656,0.6005248,0.00012790794,0.000022930002,0.00022134458,0.0000012649037,0.0000071850777,0.00005214071],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99718744,0.0008030117,0.0006717138,0.0004917779,0.00053331157,0.00031272232],"domain_scores_gemma":[0.99309134,0.006050824,0.00023225592,0.00039864564,0.00014536706,0.00008154236],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009388603,0.0001824333,0.00040558164,0.00010393134,0.00025842153,0.00009007591,0.00057518185,0.000061701634,0.00020210719],"category_scores_gemma":[0.0054108435,0.000119648794,0.000033532728,0.0013650676,0.0007472851,0.00013867079,0.00014542563,0.00018418599,0.000023389783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010903794,0.00011796686,0.00001993034,0.00029488877,0.000006756165,0.0000011542746,0.0035364649,0.00002749801,0.0369418,0.9552583,0.000024974994,0.003759372],"study_design_scores_gemma":[0.00007066295,0.000043748118,0.00003606598,0.000048856706,0.000021994532,0.0000268175,0.0049190726,0.0027034164,0.101882845,0.8900337,0.00007239572,0.00014037527],"about_ca_topic_score_codex":0.000001272249,"about_ca_topic_score_gemma":0.0000020280343,"teacher_disagreement_score":0.30684003,"about_ca_system_score_codex":0.00001819411,"about_ca_system_score_gemma":0.00010675737,"threshold_uncertainty_score":0.64776754},"labels":[],"label_agreement":null},{"id":"W3166119332","doi":"10.37193/cmi.2011.01.14","title":"The Voronovskaja theorem for some linear positive operators defined by infinite sum","year":2011,"lang":"en","type":"article","venue":"Creative Mathematics and Informatics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Type (biology); Discrete mathematics; Pure mathematics","score_opus":0.039203276222603035,"score_gpt":0.2794310166827713,"score_spread":0.2402277404601683,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3166119332","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46408457,0.00066677504,0.42812997,0.00045083047,0.00029390928,0.0039767814,0.0006641891,0.00033732108,0.10139566],"genre_scores_gemma":[0.23184913,0.0009966647,0.7584893,0.0009184844,0.0002121373,0.00081881776,0.00014826248,0.00020410775,0.0063630957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99822766,0.000060352337,0.0009137968,0.00014308053,0.00024348915,0.00041161245],"domain_scores_gemma":[0.99673414,0.0018577008,0.0005803857,0.0004059557,0.0002826918,0.00013912775],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013463618,0.00035393715,0.00044872885,0.00007218385,0.0007873149,0.00015862126,0.0003518201,0.00012306937,0.000057106605],"category_scores_gemma":[0.0012337785,0.00021908118,0.00012111449,0.00014664695,0.000561917,0.0006685364,0.000119530116,0.00019312436,0.000026822509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043566943,0.00012044779,0.000013965288,0.00023090348,0.000119476885,3.3758477e-7,0.03465558,7.7432816e-7,0.000048644262,0.9618067,0.0017629394,0.0011966793],"study_design_scores_gemma":[0.00067959743,0.00033413107,0.000011766499,0.00013338741,0.00012094469,0.000013738834,0.031636603,0.013558999,0.01196562,0.9386121,0.0025373192,0.00039578497],"about_ca_topic_score_codex":0.0000050292783,"about_ca_topic_score_gemma":0.0000024904973,"teacher_disagreement_score":0.3303593,"about_ca_system_score_codex":0.000040469215,"about_ca_system_score_gemma":0.000057424495,"threshold_uncertainty_score":0.89338714},"labels":[],"label_agreement":null},{"id":"W3167731107","doi":"10.3390/sym13060980","title":"A Parametric Generalization of the Baskakov-Schurer-Szász-Stancu Approximation Operators","year":2021,"lang":"en","type":"article","venue":"Symmetry","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Baskakov operator; Generalization; Mathematics; Parametric statistics; Class (philosophy); Rate of convergence; Applied mathematics; Pure mathematics; Operator theory; Mathematical analysis; Fourier integral operator; Microlocal analysis; Computer science; Statistics","score_opus":0.03006712589010991,"score_gpt":0.2881580850639868,"score_spread":0.2580909591738769,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3167731107","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9253653,0.00035403427,0.062387794,0.00056928437,0.00040742505,0.00038056,0.000021549577,0.0000828462,0.010431203],"genre_scores_gemma":[0.97801924,0.00002195629,0.020140233,0.00018819806,0.000067426015,0.000021300566,0.000016487324,0.000022053702,0.0015031353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99852645,0.00031689182,0.0003933351,0.00022022855,0.00037254178,0.00017054734],"domain_scores_gemma":[0.99870473,0.00022620098,0.00025971953,0.0005109849,0.00025516175,0.000043218773],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005684229,0.00013913715,0.00023043435,0.000116152805,0.00014846677,0.000042280106,0.00021792982,0.00011904062,0.00019666538],"category_scores_gemma":[0.0016019173,0.00010085029,0.00012105673,0.0016842611,0.00008496282,0.000197114,0.00007212236,0.00013973269,0.000013622229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000080784275,0.00012826166,0.0024169523,0.00020892701,0.000042587624,0.000001955809,0.0007252075,0.0001044134,0.006804453,0.98719436,0.0011388055,0.0012260011],"study_design_scores_gemma":[0.00051622716,0.000031331187,0.0010535973,0.00012395738,0.000090364185,0.00002349249,0.0021530672,0.005239307,0.43715107,0.55222553,0.00109754,0.00029450958],"about_ca_topic_score_codex":0.0000049432056,"about_ca_topic_score_gemma":0.000007820793,"teacher_disagreement_score":0.43496883,"about_ca_system_score_codex":0.000052768875,"about_ca_system_score_gemma":0.00011807989,"threshold_uncertainty_score":0.41125554},"labels":[],"label_agreement":null},{"id":"W3168180832","doi":"10.37193/cmi.2011.02.10","title":"The generalization of some results for Bernstein and Stancu operators","year":2011,"lang":"en","type":"article","venue":"Creative Mathematics and Informatics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Baskakov operator; Mathematics; Bernstein polynomial; Generalization; Convergence (economics); Order (exchange); Operator theory; Type (biology); Pure mathematics; Rate of convergence; Applied mathematics; Algebra over a field; Mathematical analysis; Fourier integral operator; Microlocal analysis; Computer science","score_opus":0.059312604664555436,"score_gpt":0.2919266372925379,"score_spread":0.2326140326279825,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3168180832","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7774744,0.00039269502,0.19233982,0.00011828284,0.00009014734,0.00164616,0.00019794589,0.00006716277,0.027673388],"genre_scores_gemma":[0.3199402,0.0012665663,0.67652917,0.000100880134,0.00006873363,0.00017577528,0.000030222875,0.00005295635,0.0018354851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879974,0.000028778062,0.0007789673,0.00007784536,0.00015150703,0.0001631514],"domain_scores_gemma":[0.99831915,0.00061274256,0.00055808696,0.0002333556,0.00021725017,0.00005941466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010363854,0.00015848818,0.00027529127,0.00005441255,0.00029402383,0.00005945382,0.00012812196,0.00007046701,0.000005803462],"category_scores_gemma":[0.00085009146,0.00009846075,0.00004001783,0.000086288004,0.00032377095,0.00038542374,0.000059231636,0.000059401416,0.0000010034355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004352326,0.00003628822,0.000014784899,0.00045508635,0.00004457207,7.835526e-8,0.04849274,0.000001541323,0.00005696368,0.9495252,0.0003340414,0.0009952197],"study_design_scores_gemma":[0.0007629211,0.00023135483,0.00002738344,0.0001483488,0.00007160841,0.0000057583143,0.027482282,0.020443298,0.011895328,0.937948,0.00080046616,0.0001832464],"about_ca_topic_score_codex":0.0000029697942,"about_ca_topic_score_gemma":0.0000033816057,"teacher_disagreement_score":0.48418936,"about_ca_system_score_codex":0.000012732137,"about_ca_system_score_gemma":0.000026443848,"threshold_uncertainty_score":0.40151125},"labels":[],"label_agreement":null},{"id":"W3169273659","doi":"10.37193/cmi.2012.01.10","title":"The generalization of certain results for Szasz-Mirakjan-Schurer operators","year":2012,"lang":"en","type":"article","venue":"Creative Mathematics and Informatics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Modulus of continuity; Generalization; Mathematics; Convergence (economics); Order (exchange); Applied mathematics; Type (biology); Operator theory; Pure mathematics; Algebra over a field; Calculus (dental); Mathematical analysis; Medicine; Economics","score_opus":0.047668258552870955,"score_gpt":0.31796911576937265,"score_spread":0.2703008572165017,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3169273659","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46125895,0.00046434242,0.4999494,0.0003638489,0.00023268735,0.0021335075,0.00020553419,0.00009677292,0.035294954],"genre_scores_gemma":[0.5381833,0.0004064653,0.45740628,0.00013544217,0.00019715748,0.00024355843,0.000069812224,0.000060205526,0.0032978018],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983443,0.00004936227,0.0009889968,0.000071045324,0.00023906885,0.0003072471],"domain_scores_gemma":[0.9972679,0.0013001763,0.00070934265,0.00032348343,0.00030102165,0.00009807383],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001947561,0.00020450428,0.0003291795,0.00006741077,0.000410593,0.00008431015,0.00018484844,0.00009991385,0.000011897205],"category_scores_gemma":[0.0018469614,0.00012493745,0.00008062952,0.00016296034,0.00025325132,0.0005069328,0.000062568164,0.00008744723,0.0000048156508],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037169197,0.00007954234,0.00004455512,0.00046992252,0.000062187115,2.710113e-8,0.043856755,0.000016033404,0.00010674118,0.9519855,0.002155675,0.0011858996],"study_design_scores_gemma":[0.0021345434,0.00035626098,0.000087303146,0.00035296145,0.00026200435,0.000019885145,0.09672444,0.06895423,0.031247042,0.7745734,0.02460323,0.0006847089],"about_ca_topic_score_codex":0.0000018946743,"about_ca_topic_score_gemma":0.0000017129508,"teacher_disagreement_score":0.17741211,"about_ca_system_score_codex":0.000027130016,"about_ca_system_score_gemma":0.000033215012,"threshold_uncertainty_score":0.5094801},"labels":[],"label_agreement":null},{"id":"W3179620939","doi":"10.1186/s13660-021-02658-z","title":"Composition of Cesàro and backward difference operators","year":2021,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Dual polyhedron; Sequence (biology); Sequence space; Matrix (chemical analysis); Pure mathematics; Norm (philosophy); Matrix norm; Combinatorics; Algebra over a field; Banach space; Eigenvalues and eigenvectors","score_opus":0.04807930929688559,"score_gpt":0.3198138839682887,"score_spread":0.2717345746714031,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3179620939","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94753903,0.0005268578,0.050867897,0.0005509687,0.0000144151,0.00006172205,0.00001987133,0.0000042692545,0.0004149483],"genre_scores_gemma":[0.98897415,0.00035438503,0.010415884,0.000053935986,0.00005315453,0.000006530289,0.0000024550798,0.0000037943094,0.00013568817],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994295,0.00005664924,0.0003189868,0.000052372972,0.00009412278,0.000048368816],"domain_scores_gemma":[0.99917644,0.0002458176,0.00024558828,0.000075523254,0.00021476776,0.000041854288],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019419732,0.000051370414,0.00016956459,0.00003260402,0.00006757106,0.000025255258,0.000045154116,0.000027434064,0.000028108214],"category_scores_gemma":[0.00004714232,0.000040513416,0.000027799533,0.000069916154,0.00008198505,0.00008709636,0.000021220496,0.0000653864,2.613893e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008564914,0.000058731104,0.0005635113,0.00015675928,0.000022448943,9.057661e-7,0.0013273617,0.0000029064643,0.012714803,0.9832076,0.00006393302,0.0018725129],"study_design_scores_gemma":[0.0004724695,0.00010625791,0.001140197,0.00020397465,0.000074677475,0.00019057037,0.023236396,0.00011973521,0.044188302,0.9288651,0.0012598367,0.00014252221],"about_ca_topic_score_codex":0.0000019737283,"about_ca_topic_score_gemma":0.0000015475852,"teacher_disagreement_score":0.0543425,"about_ca_system_score_codex":0.000006072997,"about_ca_system_score_gemma":0.000032556432,"threshold_uncertainty_score":0.1652089},"labels":[],"label_agreement":null},{"id":"W3191559001","doi":"10.3390/axioms7040082","title":"Mathematical Analysis and Applications","year":2018,"lang":"en","type":"article","venue":"Axioms","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Computer science","score_opus":0.030734375927640493,"score_gpt":0.3329896437158246,"score_spread":0.3022552677881841,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3191559001","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13885848,0.000012266307,0.84254426,0.00023511579,0.0000101131645,0.00014668626,0.0000024133092,0.000080067075,0.018110584],"genre_scores_gemma":[0.9851244,0.0000032340065,0.01327315,0.00006248061,0.00008600479,0.000047025867,0.0000019786835,0.000006221701,0.0013955052],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99953234,0.00002552891,0.00012984533,0.00012666715,0.00008996636,0.000095637086],"domain_scores_gemma":[0.99946827,0.00016362648,0.00005001165,0.00022414087,0.00004486658,0.000049076858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002454799,0.00006114726,0.00012880951,0.00008435712,0.000116779156,0.000022907547,0.00007782089,0.00003824367,0.00049173733],"category_scores_gemma":[0.00010787627,0.000048787082,0.000040070518,0.00039341065,0.00022527354,0.00006622106,0.000026078162,0.000035979734,0.00018600412],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000200932,0.000024889727,0.0000701511,0.000015094971,0.000081306025,2.4720651e-7,0.00069832214,1.190154e-7,0.0002215556,0.9971628,0.000059889364,0.0016635841],"study_design_scores_gemma":[0.00004443797,0.000016296872,0.0001810923,0.000004526146,0.0001925804,0.0000046275595,0.00038770575,0.0011233622,0.0024346812,0.99516904,0.0003663775,0.000075254946],"about_ca_topic_score_codex":0.0000016558677,"about_ca_topic_score_gemma":0.000009282587,"teacher_disagreement_score":0.8462659,"about_ca_system_score_codex":0.000006160647,"about_ca_system_score_gemma":0.0000056023496,"threshold_uncertainty_score":0.5384179},"labels":[],"label_agreement":null},{"id":"W3193207515","doi":"10.3390/math9161895","title":"A Link between Approximation Theory and Summability Methods via Four-Dimensional Infinite Matrices","year":2021,"lang":"en","type":"article","venue":"Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":59,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"King Khalid University; Aligarh Muslim University; Manisa Celal Bayar Üniversitesi","keywords":"Bivariate analysis; Mathematics; Convergence (economics); Link (geometry); Type (biology); Graphics; Domain (mathematical analysis); Series (stratigraphy); Applied mathematics; Power series; Algebra over a field; Pure mathematics; Mathematical analysis; Computer science; Combinatorics; Statistics","score_opus":0.07838628765282576,"score_gpt":0.3678596443528557,"score_spread":0.28947335670002994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3193207515","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27517632,0.00026426098,0.7205152,0.00064335787,0.00008041117,0.00040471862,0.000022576147,0.00020939713,0.002683791],"genre_scores_gemma":[0.09817892,0.00002125604,0.9006162,0.000101068355,0.00019524527,0.000047732556,0.000030372124,0.00004763502,0.00076155673],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99713886,0.0010247296,0.0007508601,0.00039154277,0.00038826675,0.00030576464],"domain_scores_gemma":[0.99158025,0.0070088636,0.0004048183,0.0006108108,0.00025903728,0.00013623791],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0054958607,0.00029223543,0.0005807111,0.00011370288,0.0002501025,0.000116546784,0.00019197419,0.00021912873,0.00030946016],"category_scores_gemma":[0.0038021882,0.00025027827,0.00012706798,0.0003741468,0.00021659555,0.00030322484,0.00019930648,0.00028841046,0.000039517035],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025096457,0.00014774622,0.00037278907,0.0015625544,0.00015433472,0.000013107054,0.0053094653,0.000011148479,0.0031320425,0.95513064,0.000097054464,0.03404402],"study_design_scores_gemma":[0.00028208134,0.000030437008,0.00014436137,0.00011502339,0.00016083599,0.00006806458,0.0008591289,0.0045742444,0.013346223,0.9798588,0.00027845227,0.00028232095],"about_ca_topic_score_codex":0.0000014537754,"about_ca_topic_score_gemma":0.0000021716064,"teacher_disagreement_score":0.18010104,"about_ca_system_score_codex":0.0000472984,"about_ca_system_score_gemma":0.000079119025,"threshold_uncertainty_score":0.99999493},"labels":[],"label_agreement":null},{"id":"W3196186195","doi":"10.3390/math9172051","title":"Modified Operators Interpolating at Endpoints","year":2021,"lang":"en","type":"article","venue":"Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Iterated function; Affine transformation; Mathematics; Operator theory; Baskakov operator; Applied mathematics; Pure mathematics; Type (biology); Order (exchange); Algebra over a field; Microlocal analysis; Fourier integral operator; Mathematical analysis","score_opus":0.06830208205649238,"score_gpt":0.3220325626317434,"score_spread":0.25373048057525105,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3196186195","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8582531,0.00018588529,0.063709855,0.00049096846,0.00022533191,0.00027507643,0.000015287344,0.0003032017,0.076541275],"genre_scores_gemma":[0.75336266,0.000023607476,0.22093129,0.0004973482,0.00011063291,0.000041762345,0.00001657971,0.00007584033,0.02494031],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99869496,0.00009157447,0.00045857616,0.00023015939,0.00026783065,0.00025689555],"domain_scores_gemma":[0.9986162,0.0005049184,0.00018362861,0.00048674457,0.00012007044,0.00008839673],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0004663976,0.00018726545,0.0003144548,0.000047223282,0.00020277577,0.00007145622,0.00018543912,0.00009673942,0.0015728167],"category_scores_gemma":[0.00125629,0.00016417775,0.000105068684,0.0001909387,0.00006602538,0.00018545464,0.00019146888,0.00014360303,0.00022611824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007294364,0.00021081169,0.00004610374,0.00041223917,0.00006069638,0.000051200746,0.010149378,0.000028070517,0.011942456,0.9735055,0.00326622,0.00032001556],"study_design_scores_gemma":[0.00039392887,0.000023908393,0.0000044680082,0.00022554849,0.000051450523,0.00016698182,0.0038975151,0.016577668,0.13547564,0.84154326,0.001272125,0.00036748213],"about_ca_topic_score_codex":6.566301e-7,"about_ca_topic_score_gemma":0.0000073832653,"teacher_disagreement_score":0.15722144,"about_ca_system_score_codex":0.00008886896,"about_ca_system_score_gemma":0.000045161396,"threshold_uncertainty_score":0.9993399},"labels":[],"label_agreement":null},{"id":"W3200021390","doi":"10.3390/axioms10030229","title":"Statistical Riemann and Lebesgue Integrable Sequence of Functions with Korovkin-Type Approximation Theorems","year":2021,"lang":"en","type":"article","venue":"Axioms","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Lebesgue integration; Mathematics; Riemann hypothesis; Type (biology); Sequence (biology); Pure mathematics; Algebraic number; Integrable system; Riemann integral; Algebra over a field; Mathematical analysis; Operator theory","score_opus":0.04988405427825001,"score_gpt":0.3089876619305654,"score_spread":0.25910360765231544,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3200021390","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38513774,0.000084784566,0.6056871,0.00029147603,0.000096066055,0.000194855,0.000038776972,0.00007046708,0.008398751],"genre_scores_gemma":[0.9735902,0.00002015797,0.02435031,0.000037593356,0.000021503174,0.000013711125,0.0000523977,0.000015818954,0.001898305],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99908406,0.00011582566,0.00023187746,0.0002176321,0.0001985833,0.00015205094],"domain_scores_gemma":[0.99889463,0.00041587916,0.00012423283,0.000258419,0.0002470102,0.000059838825],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003528219,0.00012179721,0.0002144562,0.000046022695,0.0001110226,0.000033226926,0.000073042946,0.00006498237,0.00029235563],"category_scores_gemma":[0.00066352024,0.000093085,0.00002163632,0.0002877078,0.00034328495,0.00021515357,0.000031545544,0.00012902256,0.000015780766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000053670035,0.00007448282,0.00010748995,0.00013434967,0.00003816612,0.000012167225,0.0013082908,0.000029090319,0.005751498,0.99108446,0.00016039277,0.0012459598],"study_design_scores_gemma":[0.00041713126,0.00025806276,0.00020395295,0.00020422855,0.000106706604,0.0001899211,0.007686648,0.004511003,0.032348093,0.9535286,0.00027732176,0.00026833633],"about_ca_topic_score_codex":0.000021837153,"about_ca_topic_score_gemma":0.00004501998,"teacher_disagreement_score":0.58845246,"about_ca_system_score_codex":0.000020769528,"about_ca_system_score_gemma":0.000095407115,"threshold_uncertainty_score":0.37958962},"labels":[],"label_agreement":null},{"id":"W3200415279","doi":"10.48550/arxiv.2109.04586","title":"The critical point and the $p$-norm of $A_s$ and $C$-matrices","year":2021,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Universities Space Research Association","keywords":"Norm (philosophy); Mathematics; Lacunary function; Combinatorics; Critical point (mathematics); Matrix norm; Property (philosophy); Matrix (chemical analysis); Complex matrix; Discrete mathematics; Pure mathematics; Mathematical analysis; Physics; Eigenvalues and eigenvectors; Philosophy; Chemistry","score_opus":0.07688604533664893,"score_gpt":0.2261478619923833,"score_spread":0.14926181665573435,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3200415279","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9735089,0.0012411737,0.019731535,0.0012493007,0.00013690715,0.00033983513,0.000012660104,0.000040416373,0.0037392608],"genre_scores_gemma":[0.9971439,0.0017126302,0.0005550605,0.00003381106,0.000027070793,0.000001202294,0.000001712658,0.000009630636,0.00051495567],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99893385,0.00032472625,0.00019693245,0.00031838097,0.00007322942,0.0001528661],"domain_scores_gemma":[0.9961763,0.0029433991,0.00020085397,0.00047512923,0.00014557838,0.00005875523],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008910893,0.0001635703,0.00030479446,0.00004499262,0.00029918944,0.000103894425,0.00032275027,0.00014583213,0.000029319415],"category_scores_gemma":[0.00084611884,0.000103187514,0.0001043195,0.00013588154,0.0013092497,0.0001279243,0.00068268686,0.00034881796,0.0000013856636],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008518716,0.00002286769,0.00016473839,0.00025884743,0.00007064014,0.000020347306,0.0014002647,0.00008983806,0.000008654731,0.9977199,0.00004595017,0.00011278312],"study_design_scores_gemma":[0.00039792206,0.000016631055,0.00008309106,0.00011963029,0.0002029865,0.000011340622,0.007218345,0.010062033,0.00017669526,0.98151845,0.000055641285,0.00013725755],"about_ca_topic_score_codex":0.000040510156,"about_ca_topic_score_gemma":0.000042260148,"teacher_disagreement_score":0.023635015,"about_ca_system_score_codex":0.000021494916,"about_ca_system_score_gemma":0.000062453684,"threshold_uncertainty_score":0.4823985},"labels":[],"label_agreement":null},{"id":"W3200435948","doi":"10.1007/s13348-021-00334-5","title":"Some results concerning ideal and classical uniform integrability and mean convergence","year":2021,"lang":"en","type":"article","venue":"Collectanea mathematica","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Ideal (ethics); Sequence (biology); Convergence (economics); Integrable system; Characterization (materials science); Combinatorics; Independence (probability theory); Pure mathematics; Discrete mathematics; Statistics; Law","score_opus":0.053988496222264704,"score_gpt":0.301837590715402,"score_spread":0.2478490944931373,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3200435948","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9545132,0.0006712249,0.005767827,0.0036870074,0.00017158312,0.0007331339,0.00006384111,0.00028919557,0.034102973],"genre_scores_gemma":[0.95894676,0.0001334733,0.03482871,0.00011481345,0.00007523124,0.000038434446,0.000008737666,0.000028864604,0.0058249724],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982657,0.0001893272,0.0005569996,0.00043089484,0.00027177227,0.00028532997],"domain_scores_gemma":[0.99714184,0.0019346077,0.00019606858,0.00039707441,0.00015602223,0.00017437815],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00095818174,0.00022408488,0.00046668953,0.000052808715,0.0002953714,0.00011960881,0.00013520257,0.00013255618,0.00021173862],"category_scores_gemma":[0.003604724,0.00018821322,0.000057244,0.00026701708,0.00047301935,0.00025019815,0.00014945873,0.00024464104,0.000022299015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009167515,0.000095146825,0.000039782582,0.00050074747,0.000047192912,0.00004440956,0.008066133,3.486248e-7,0.0016531674,0.98736733,0.001696886,0.00039715486],"study_design_scores_gemma":[0.0007209334,0.00008464432,0.000027749235,0.00018564078,0.00005511448,0.00023105658,0.0035156386,0.007575875,0.0073051113,0.97939,0.0006428712,0.00026531555],"about_ca_topic_score_codex":0.0000029401913,"about_ca_topic_score_gemma":0.000019162488,"teacher_disagreement_score":0.029060883,"about_ca_system_score_codex":0.0000639802,"about_ca_system_score_gemma":0.00014585597,"threshold_uncertainty_score":0.76751125},"labels":[],"label_agreement":null},{"id":"W3203743705","doi":"10.4000/glottopol.356","title":"La problématique initiale de la liste Cerquiglini et ses effets ultérieurs","year":2020,"lang":"fr","type":"article","venue":"Glottopol","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Medicine; Gynecology","score_opus":0.04110035524715571,"score_gpt":0.343981862025518,"score_spread":0.3028815067783623,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3203743705","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4968316,0.0028009387,0.06408689,0.08797186,0.00080777967,0.0022280607,0.00048772988,0.00105993,0.3437252],"genre_scores_gemma":[0.9655419,0.0003937268,0.023498375,0.004145086,0.00046552773,0.00009614326,0.000027210659,0.000095571326,0.005736431],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99579966,0.0025573822,0.00051995623,0.00037033815,0.000284524,0.0004681667],"domain_scores_gemma":[0.9965132,0.0024387273,0.00030392298,0.00032374082,0.00009244462,0.00032799685],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0016134973,0.00035438192,0.00045708992,0.000051682346,0.00016110459,0.00023548864,0.00036927414,0.00050749106,0.00093957357],"category_scores_gemma":[0.0025621804,0.0003596883,0.0001746903,0.00027478207,0.00069213496,0.00043140352,0.00012899007,0.00072694494,0.00055083015],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000107601794,0.0003122707,0.00023400657,0.0018840792,0.00010390535,0.00022080145,0.06423259,0.00013706322,0.0013453813,0.9184371,0.0084907515,0.0044944156],"study_design_scores_gemma":[0.0025121968,0.00062192074,0.00027718948,0.0014895728,0.00036027993,0.00052783586,0.017852796,0.0062689236,0.04068716,0.6787517,0.24933395,0.0013164901],"about_ca_topic_score_codex":0.0000692248,"about_ca_topic_score_gemma":0.00001943285,"teacher_disagreement_score":0.46871033,"about_ca_system_score_codex":0.0000815596,"about_ca_system_score_gemma":0.00037455413,"threshold_uncertainty_score":0.9999737},"labels":[],"label_agreement":null},{"id":"W3204032559","doi":"10.1186/s13660-021-02694-9","title":"Some approximation properties of new $( p,q ) $-analogue of Balázs–Szabados operators","year":2021,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Nutrasource","funders":"","keywords":"Mathematics; Order (exchange); Type (biology); Combinatorics; Algorithm","score_opus":0.08337991026474628,"score_gpt":0.31193203930235935,"score_spread":0.22855212903761307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3204032559","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.942565,0.0029234854,0.052729387,0.0011009931,0.000047080564,0.0002517107,0.000034032328,0.000011671228,0.00033663405],"genre_scores_gemma":[0.98469454,0.00039569064,0.014130511,0.000054319946,0.0001932593,0.000014500435,0.0000047742988,0.000010357439,0.00050204614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872494,0.0000899558,0.00080073415,0.000081233025,0.00021815694,0.0000849567],"domain_scores_gemma":[0.9984305,0.00014033583,0.00072653266,0.0001709214,0.00046710466,0.00006459432],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00044084492,0.00009232467,0.00035086513,0.0000864178,0.0000630964,0.000022463933,0.0001187664,0.000055081375,0.00003697784],"category_scores_gemma":[0.00024936127,0.00006996369,0.0000938917,0.00017160404,0.00011291464,0.00029623072,0.000031267078,0.00009837565,7.0328645e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018659799,0.000118961136,0.00011758367,0.00047211378,0.00007428723,6.0367586e-7,0.0032824387,0.000039430495,0.030115236,0.96417946,0.00025055674,0.0013306792],"study_design_scores_gemma":[0.0004935365,0.00010011393,0.000056593606,0.00029164294,0.00011545373,0.00006460496,0.025916822,0.00020244591,0.2854405,0.68602765,0.0011460532,0.00014456325],"about_ca_topic_score_codex":0.000014701287,"about_ca_topic_score_gemma":0.0000039037013,"teacher_disagreement_score":0.2781518,"about_ca_system_score_codex":0.000014902818,"about_ca_system_score_gemma":0.00020017062,"threshold_uncertainty_score":0.28530365},"labels":[],"label_agreement":null},{"id":"W3204034501","doi":"10.5539/ijsp.v10n6p1","title":"Characterizations of the Exponentiated Marshall-Olkin Discrete Uniform Distribution","year":2021,"lang":"en","type":"article","venue":"International Journal of Statistics and Probability","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Applied mathematics; Statistics; Distribution (mathematics); Econometrics; Mathematical economics; Mathematical analysis","score_opus":0.02606436324376018,"score_gpt":0.2967967009778472,"score_spread":0.27073233773408706,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3204034501","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.67606163,0.000028613966,0.32055888,0.0014352619,0.00036715428,0.000094987496,0.0012871315,0.000004207831,0.00016211136],"genre_scores_gemma":[0.9816176,0.000057831865,0.0180987,0.000024595678,0.000040745595,0.0000014797058,0.00007494364,0.0000039828315,0.000080108584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989648,0.00011969211,0.0004720589,0.00007188657,0.00031081183,0.00006076408],"domain_scores_gemma":[0.9979947,0.0002655937,0.0005367283,0.000106504376,0.0010627024,0.000033729266],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004887445,0.00006384696,0.00013526152,0.000019363457,0.000056154062,0.000038632847,0.00016619576,0.00003302578,0.00012030299],"category_scores_gemma":[0.001359924,0.000043739805,0.000054094693,0.00007895953,0.00013248899,0.00013896046,0.00006558402,0.000109783265,3.3879803e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000065030574,0.00015243747,0.005047223,0.00007145472,0.00011437394,0.000008893625,0.0005093009,0.000023460616,0.003023904,0.98877823,0.0001773561,0.0020283437],"study_design_scores_gemma":[0.00028511797,0.00003081246,0.024931848,0.00009537503,0.00004244859,0.000076181794,0.00014561586,0.0006747394,0.0063505825,0.9668765,0.00043180888,0.000058991118],"about_ca_topic_score_codex":0.0000033789563,"about_ca_topic_score_gemma":0.000011193403,"teacher_disagreement_score":0.30555594,"about_ca_system_score_codex":0.000043949687,"about_ca_system_score_gemma":0.000111070694,"threshold_uncertainty_score":0.17836575},"labels":[],"label_agreement":null},{"id":"W3205428754","doi":"10.1007/s10957-023-02219-y","title":"Calculus Rules of the Generalized Concave Kurdyka–Łojasiewicz Property","year":2023,"lang":"en","type":"article","venue":"Journal of Optimization Theory and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Property (philosophy); Differentiable function; Mathematics; Concave function; Theory of computation; Function (biology); Class (philosophy); Calculus (dental); Applied mathematics; Computer science; Pure mathematics; Algorithm; Geometry; Regular polygon","score_opus":0.034540673689496496,"score_gpt":0.3066063765173234,"score_spread":0.27206570282782694,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3205428754","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.059892543,0.00018867152,0.9350914,0.0013477153,0.0000956569,0.00067454716,0.00002745209,0.000053907534,0.0026281334],"genre_scores_gemma":[0.91653234,0.0007707516,0.07263971,0.00037293453,0.0003740498,0.0001714954,0.000022116134,0.000060178412,0.009056417],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885267,0.00030257684,0.00047476997,0.00008909685,0.00018385325,0.00009705353],"domain_scores_gemma":[0.99836874,0.00044563648,0.000653828,0.00020504132,0.00027578446,0.000050942217],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001463048,0.00009194428,0.00020349496,0.000089866844,0.00021686786,0.0000253268,0.00021870119,0.00005973892,0.00009473638],"category_scores_gemma":[0.00043172392,0.000048743812,0.00009336778,0.00033898503,0.00022160006,0.00015912867,0.000045960263,0.000109640125,0.0000041658473],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046646994,0.000051309606,0.000026650147,0.000054921667,0.000040290284,4.349682e-7,0.00072205946,0.015083279,0.0010312697,0.98082674,0.00043603618,0.0016803643],"study_design_scores_gemma":[0.0006650246,0.000045804045,0.00006516506,0.00007014552,0.00014420741,0.000055761735,0.0015237526,0.015656216,0.006583684,0.9725283,0.002525761,0.00013622311],"about_ca_topic_score_codex":6.671036e-7,"about_ca_topic_score_gemma":2.3734893e-7,"teacher_disagreement_score":0.8624517,"about_ca_system_score_codex":0.000015097831,"about_ca_system_score_gemma":0.000064244465,"threshold_uncertainty_score":0.1987715},"labels":[],"label_agreement":null},{"id":"W3210290938","doi":"10.1186/s13660-021-02714-8","title":"Factorization of Cesàro operator and related inequalities","year":2021,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Factorization; Inequality; Operator (biology); Algebra over a field; Norm (philosophy); Order (exchange); Pure mathematics; Matrix (chemical analysis); Mathematical analysis; Algorithm","score_opus":0.0446311511714231,"score_gpt":0.3167429688566362,"score_spread":0.27211181768521314,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W3210290938","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.91778374,0.0020352849,0.07660973,0.00089929,0.00006857156,0.00017200893,0.00006685276,0.000018085211,0.0023464586],"genre_scores_gemma":[0.9936064,0.0006775428,0.0048157074,0.00004030876,0.00007086592,0.000009642788,0.0000069848797,0.000008403778,0.0007641357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902904,0.00010109144,0.00058616314,0.00007329458,0.00014057898,0.00006980934],"domain_scores_gemma":[0.99863136,0.00037778507,0.00044983294,0.000104625105,0.00038386974,0.000052541196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003816054,0.00007619638,0.0002371107,0.00006117671,0.000087031905,0.00003567891,0.000056597393,0.000054791097,0.00008611981],"category_scores_gemma":[0.00026613608,0.000062023966,0.000039312283,0.00013821032,0.00009647816,0.00021009827,0.000027161635,0.00009279684,5.525187e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00000763423,0.000045987676,0.00049700896,0.00019040458,0.00004049471,0.0000011261016,0.0034400064,0.000005967668,0.004097038,0.9908748,0.00010904996,0.0006904409],"study_design_scores_gemma":[0.00038544965,0.000073974246,0.00017887648,0.00013285015,0.000058272082,0.0001055705,0.039309625,0.000050318562,0.016630664,0.9399963,0.00295939,0.00011871392],"about_ca_topic_score_codex":0.0000042612096,"about_ca_topic_score_gemma":0.0000023613538,"teacher_disagreement_score":0.07582269,"about_ca_system_score_codex":0.000010419968,"about_ca_system_score_gemma":0.000068390145,"threshold_uncertainty_score":0.2529264},"labels":[],"label_agreement":null},{"id":"W4200034416","doi":"10.1515/ms-2021-0059","title":"On the factorable spaces of absolutely<i>p</i>-summable, null, convergent, and bounded sequences","year":2021,"lang":"en","type":"article","venue":"Mathematica Slovaca","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Matrix (chemical analysis); Bounded function; Dual polyhedron; Hilbert space; Combinatorics; Sequence (biology); Norm (philosophy); Discrete mathematics; Pure mathematics; Mathematical analysis","score_opus":0.060942170092376215,"score_gpt":0.2966065800848521,"score_spread":0.23566440999247587,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4200034416","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9618198,0.00039458668,0.0039389934,0.0023970339,0.00012041039,0.00043143868,0.00002031687,0.00009517995,0.030782185],"genre_scores_gemma":[0.9787343,0.00013327197,0.015194595,0.0002956294,0.000033156306,0.000049905724,0.000004742311,0.00003572887,0.0055186828],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982998,0.00021101469,0.00048268368,0.00029958235,0.00042165248,0.0002852716],"domain_scores_gemma":[0.99665266,0.0021777765,0.00033750484,0.00059697323,0.0001512686,0.000083807565],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.000728794,0.00024299661,0.00046164505,0.00005966037,0.00024229065,0.00011937901,0.0002859195,0.00010572509,0.0017885145],"category_scores_gemma":[0.0014009099,0.00015766433,0.00010764681,0.00029290642,0.00036568535,0.00018522315,0.0001014862,0.00019226992,0.000075501746],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016950258,0.00012580898,0.000027401265,0.0004228023,0.00008553989,0.000009331349,0.0023454742,0.0000023855882,0.0037655511,0.99026936,0.0028646966,0.00006469489],"study_design_scores_gemma":[0.00021540317,0.000048169673,0.00001231237,0.00022331833,0.000053588617,0.000026450114,0.0038208212,0.00054792286,0.06333168,0.93060267,0.0009352766,0.00018236619],"about_ca_topic_score_codex":0.000007980362,"about_ca_topic_score_gemma":0.000009391246,"teacher_disagreement_score":0.05966667,"about_ca_system_score_codex":0.00002588382,"about_ca_system_score_gemma":0.000094239964,"threshold_uncertainty_score":0.999124},"labels":[],"label_agreement":null},{"id":"W4205902692","doi":"10.4213/tvp5398","title":"A new version of uniform integrability via power series summability methods","year":2022,"lang":"ru","type":"article","venue":"Теория вероятностей и ее применения","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Regina","funders":"Kazan Federal University; Türkiye Bilimsel ve Teknolojik Araştırma Kurumu; Consejería de Economía, Innovación, Ciencia y Empleo, Junta de Andalucía","keywords":"Series (stratigraphy); Power series; Mathematics; Power (physics); Applied mathematics; Calculus (dental); Mathematical analysis; Physics; Thermodynamics; Medicine; Geology","score_opus":0.02887024061346979,"score_gpt":0.33681579074634055,"score_spread":0.3079455501328708,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4205902692","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.58257693,0.0025801428,0.3389107,0.006595104,0.005814011,0.0051238807,0.0017023301,0.00093351613,0.055763427],"genre_scores_gemma":[0.7974626,0.000068460366,0.18572298,0.00018354549,0.0001552688,0.00011936328,0.00014271289,0.00014081395,0.016004289],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9910385,0.0033763058,0.0020259502,0.0012211464,0.001359395,0.0009786763],"domain_scores_gemma":[0.9932224,0.002084145,0.0013974955,0.0023401184,0.00047119486,0.00048461644],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00806024,0.00087237306,0.0015989409,0.00038819743,0.0010201947,0.00010792568,0.0014872446,0.0004243846,0.0377313],"category_scores_gemma":[0.0022649993,0.00085941126,0.00083578477,0.0015689117,0.0008807098,0.0010046766,0.0013686166,0.0015781253,0.00018285085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.008481464,0.0056588086,0.0066824947,0.0046804682,0.0015826997,0.00008386851,0.08595082,0.00062335865,0.033973355,0.73361593,0.043430064,0.07523665],"study_design_scores_gemma":[0.0022585795,0.0025240772,0.0006235051,0.00021598747,0.000556636,0.00015163588,0.029980203,0.0022369646,0.055625144,0.8517777,0.052480184,0.0015694201],"about_ca_topic_score_codex":0.0006693418,"about_ca_topic_score_gemma":0.00006885535,"teacher_disagreement_score":0.21488567,"about_ca_system_score_codex":0.00095383875,"about_ca_system_score_gemma":0.0010062995,"threshold_uncertainty_score":0.99938565},"labels":[],"label_agreement":null},{"id":"W4220692681","doi":"10.3390/axioms11030128","title":"Some Korovkin-Type Approximation Theorems Associated with a Certain Deferred Weighted Statistical Riemann-Integrable Sequence of Functions","year":2022,"lang":"en","type":"article","venue":"Axioms","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Lebesgue integration; Mathematics; Sequence (biology); Type (biology); Riemann hypothesis; Algebraic number; Integrable system; Pure mathematics; Relation (database); Algebra over a field; Discrete mathematics; Applied mathematics; Mathematical analysis; Computer science","score_opus":0.04895507923473191,"score_gpt":0.2923711465081955,"score_spread":0.2434160672734636,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4220692681","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.80521667,0.00008081444,0.18789719,0.0004354448,0.00033282032,0.0009521504,0.0004231952,0.0003561496,0.0043055937],"genre_scores_gemma":[0.9935416,0.0000039440356,0.0033364051,0.00006334723,0.000028454135,0.0001272431,0.0003221809,0.00003697556,0.0025398722],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9979073,0.00048554115,0.00042507116,0.00030573914,0.00056546216,0.00031092862],"domain_scores_gemma":[0.99811107,0.00084919075,0.00038795805,0.0003619219,0.00021085524,0.00007903365],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010276554,0.00020377903,0.00035068707,0.00014478498,0.00043913064,0.00003057068,0.00025550125,0.000074436146,0.0009317999],"category_scores_gemma":[0.0009316138,0.00016790083,0.000062198174,0.0007192121,0.00029533057,0.0002803056,0.000071317685,0.0003201338,0.000019420515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024013266,0.00031731903,0.00008446692,0.00004826009,0.00012685747,0.000012564742,0.002212096,0.00027078515,0.0022953255,0.99352777,0.0006328061,0.0002316159],"study_design_scores_gemma":[0.0007172133,0.0006542569,0.00011005097,0.00007399777,0.00014272834,0.00003791067,0.006582447,0.02727309,0.0027599935,0.96115535,0.00014577819,0.00034718894],"about_ca_topic_score_codex":0.000057902053,"about_ca_topic_score_gemma":0.000030529274,"teacher_disagreement_score":0.18832493,"about_ca_system_score_codex":0.00018079163,"about_ca_system_score_gemma":0.00015942499,"threshold_uncertainty_score":0.99998146},"labels":[],"label_agreement":null},{"id":"W4221028249","doi":"10.22541/au.164873418.85283815/v1","title":"BANACH SPACES AND INEQUALITIES ASSOCIATED WITH A NEW GENERALIZATION OF CESÀRO MATRIX","year":2022,"lang":"en","type":"preprint","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Matrix (chemical analysis); Pure mathematics; Norm (philosophy); Banach space; Dual polyhedron; Bounded function; Lp space; Generalization; Discrete mathematics; Mathematical analysis; Political science","score_opus":0.06544682335676526,"score_gpt":0.32940290879402984,"score_spread":0.26395608543726456,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4221028249","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94689393,0.00032340072,0.043151587,0.0007131274,0.00009586158,0.0005664143,0.00009647609,0.00018526618,0.00797391],"genre_scores_gemma":[0.9124766,0.00012992362,0.040657394,0.000076367134,0.00008461768,0.00007141499,0.00031782605,0.000062359686,0.046123486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986096,0.00023586955,0.00039381892,0.00026213453,0.0003581661,0.00014040216],"domain_scores_gemma":[0.9985847,0.00032001562,0.0006591882,0.00027835224,0.00010251045,0.000055243006],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00068374485,0.000217422,0.00045293785,0.00013704493,0.00008604995,0.00006626394,0.0001731634,0.00015440845,0.0012108157],"category_scores_gemma":[0.00036360824,0.00017273033,0.0000517721,0.00015556808,0.00008764242,0.00010009921,0.000286444,0.00023010181,5.9486416e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005007678,0.00007354715,0.0025632048,0.00068311597,0.0002506942,0.0000020895457,0.00992356,0.0018374011,0.000075688346,0.98151785,0.0029441358,0.000078630204],"study_design_scores_gemma":[0.0004816173,0.00013600707,0.00028376735,0.00025130576,0.0001858482,0.0000037071177,0.008471546,0.00286582,0.0011984198,0.9854919,0.00021210851,0.00041799323],"about_ca_topic_score_codex":0.00038814743,"about_ca_topic_score_gemma":0.00028403712,"teacher_disagreement_score":0.038149573,"about_ca_system_score_codex":0.00005597726,"about_ca_system_score_gemma":0.00019118717,"threshold_uncertainty_score":0.9997022},"labels":[],"label_agreement":null},{"id":"W4230548770","doi":"10.23952/asvao.1.2019.1.04","title":"Strong convergence theorems for $\\delta$-inverse strongly accretive operators in Banach spaces","year":2019,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Banach space; Mathematics; Convergence (economics); Inverse; Pure mathematics; Economics; Geometry","score_opus":0.020363672390565513,"score_gpt":0.28279438374094457,"score_spread":0.26243071135037904,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4230548770","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43325302,0.000023183698,0.5644694,0.00006047263,0.000039177445,0.0007937851,0.00003820304,0.000045355173,0.0012774135],"genre_scores_gemma":[0.9334333,0.00004400429,0.06585043,0.00004584077,0.000025216363,0.0000927471,0.00023366071,0.000023600276,0.00025118561],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.99851084,0.000106179854,0.00041558064,0.0004676156,0.00022499196,0.00027476557],"domain_scores_gemma":[0.99900925,0.00024529948,0.00026098258,0.00029029828,0.00011620186,0.00007798974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008586282,0.0002353871,0.0005009055,0.00033190972,0.00014240155,0.000108713924,0.00016541616,0.00013901103,0.00044219522],"category_scores_gemma":[0.000090227666,0.00020601731,0.00011588257,0.00089382083,0.000096206735,0.00029124963,0.000042473832,0.000115989635,0.000007685887],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010478925,0.000042587748,0.0033360464,0.00005292946,0.00029825096,3.4862694e-7,0.0019383659,0.4984329,0.00025178416,0.49536335,0.00003683608,0.00014178093],"study_design_scores_gemma":[0.0008713719,0.00005190851,0.00014341391,0.000017280492,0.00047320075,2.8766644e-7,0.009946692,0.96814334,0.0011894781,0.018842278,0.00001948397,0.0003012616],"about_ca_topic_score_codex":0.000037110054,"about_ca_topic_score_gemma":0.00009246582,"teacher_disagreement_score":0.5001803,"about_ca_system_score_codex":0.0000617459,"about_ca_system_score_gemma":0.000044114524,"threshold_uncertainty_score":0.8401142},"labels":[],"label_agreement":null},{"id":"W4233258680","doi":"10.23952/jano.1.2019.2.07","title":"Best approximation, optimal recovery, and Landau inequalities for derivatives of Hukuhara-type in function L-spaces","year":2019,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Type (biology); Mathematics; Function (biology); Inequality; Applied mathematics; Pure mathematics; Mathematical analysis; Biology","score_opus":0.025284881621857998,"score_gpt":0.27596720817002784,"score_spread":0.25068232654816985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4233258680","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.52882,0.00007751879,0.470275,0.00012845376,0.000051238098,0.00025695024,0.0000035453584,0.000005772557,0.00038149575],"genre_scores_gemma":[0.8553646,0.00012114222,0.14436457,0.0000284095,0.000039049104,0.000006482419,0.00000815713,0.000010924522,0.00005663098],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991939,0.00003864439,0.00044565302,0.00010088101,0.0001320997,0.000088834815],"domain_scores_gemma":[0.9988553,0.00035869874,0.00053025817,0.0000551166,0.00016531679,0.000035310906],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046729887,0.00009757415,0.00031444593,0.00012964557,0.000036639605,0.00003168128,0.000045446242,0.00006311401,0.000028097069],"category_scores_gemma":[0.00016680843,0.00007790656,0.000029841098,0.00014653312,0.00005105936,0.0003085361,0.000014601027,0.00008171724,4.0042784e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.008572146,0.000613621,0.0035942486,0.0017996649,0.00022971474,0.0000011635124,0.012560441,0.35544285,0.008843489,0.6001133,0.00020314404,0.008026223],"study_design_scores_gemma":[0.007250077,0.004969196,0.00096790236,0.0007522242,0.00023994173,0.000047798767,0.026173405,0.326597,0.012453676,0.61919695,0.0005807725,0.0007710518],"about_ca_topic_score_codex":0.0000011695821,"about_ca_topic_score_gemma":2.144811e-7,"teacher_disagreement_score":0.32654464,"about_ca_system_score_codex":0.000015673935,"about_ca_system_score_gemma":0.000029039484,"threshold_uncertainty_score":0.31769374},"labels":[],"label_agreement":null},{"id":"W4256096297","doi":"10.1090/conm/454/08825","title":"On a question of Brézis and Korevaar concerning a class of square-summable sequences","year":2008,"lang":"en","type":"other","venue":"Contemporary mathematics - American Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Class (philosophy); Square (algebra); Pure mathematics; Algebra over a field; Geometry; Artificial intelligence; Computer science","score_opus":0.05472818172387207,"score_gpt":0.3155724345288964,"score_spread":0.2608442528050243,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4256096297","genre_codex":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.018144643,0.00211936,0.108956866,0.00031514635,0.0001429996,0.003426866,0.00053711765,0.0008378685,0.8655191],"genre_scores_gemma":[0.3213424,0.0020651706,0.55592966,0.00032974945,0.0002945798,0.0003849258,0.00010654702,0.0016675103,0.11787947],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9960643,0.00031519876,0.0015946594,0.0006167833,0.0009821751,0.00042690575],"domain_scores_gemma":[0.9924945,0.002684601,0.0035111348,0.00092128065,0.00017634558,0.00021213628],"candidate_categories":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.0012488506,0.0007631305,0.0025267545,0.00020156648,0.00012027936,0.00003246818,0.00051679683,0.00044710434,0.00057990453],"category_scores_gemma":[0.0012833757,0.0006272594,0.00057172007,0.00048856414,0.0032597343,0.00013965758,0.00016053914,0.00050855416,0.00003117212],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000055683562,0.000945501,0.00004887155,0.013305377,0.00096116203,0.000014033918,0.014337293,0.000004842366,0.0003901121,0.8585605,0.11100687,0.00036975165],"study_design_scores_gemma":[0.0011400981,0.0009449074,0.0000030594877,0.0101101855,0.000356279,0.00006334459,0.013542466,0.005523833,0.0014584739,0.9622938,0.0033504847,0.0012130423],"about_ca_topic_score_codex":0.00008423173,"about_ca_topic_score_gemma":0.0000030984056,"teacher_disagreement_score":0.74763966,"about_ca_system_score_codex":0.00008444389,"about_ca_system_score_gemma":0.00026146704,"threshold_uncertainty_score":0.9996179},"labels":[],"label_agreement":null},{"id":"W4256653003","doi":"10.1090/ulect/075/07","title":"Some operators on ℓ^{𝑝}_{𝐴}","year":2020,"lang":"en","type":"book-chapter","venue":"University lecture series","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université Laval","funders":"","keywords":"Computer science","score_opus":0.022711016813283705,"score_gpt":0.21342030721505795,"score_spread":0.19070929040177426,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4256653003","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00024437817,0.000113283684,0.0007638333,0.0036288071,0.0002510936,0.00035313598,0.00013281291,0.0003982866,0.99411434],"genre_scores_gemma":[0.0046222494,0.00018949271,0.0024156363,0.0008223394,0.00045778888,2.9530867e-7,0.000061807965,0.000070751084,0.99135965],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992262,0.00003157258,0.000106064435,0.00030354643,0.00020110379,0.00013150072],"domain_scores_gemma":[0.99936396,0.00009449655,0.0001269715,0.00026539338,0.000056968613,0.000092197544],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00005245975,0.0003018399,0.00034731254,0.00011424904,0.00023345821,0.000029479936,0.00026885647,0.00033279252,0.00082630053],"category_scores_gemma":[0.00006523469,0.00028909429,0.00014198342,0.0000359066,0.00018876987,0.00022409548,0.000075659635,0.00046037402,0.0002598354],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011018394,0.0000057040534,2.3616815e-7,0.000068978494,0.00007577698,0.000104990686,0.00091386616,0.000006559388,0.000024375575,0.9928067,0.0057546617,0.00012798798],"study_design_scores_gemma":[0.00009885813,0.00011404925,1.4098202e-7,0.000067185014,0.00005753182,0.000005564297,0.00018935045,0.0000023483303,0.00053114933,0.66835433,0.3303351,0.00024439197],"about_ca_topic_score_codex":0.0000012702235,"about_ca_topic_score_gemma":0.000014650543,"teacher_disagreement_score":0.32458046,"about_ca_system_score_codex":0.00010443433,"about_ca_system_score_gemma":0.00008620715,"threshold_uncertainty_score":0.99995613},"labels":[],"label_agreement":null},{"id":"W4280648653","doi":"10.1016/j.bulsci.2022.103146","title":"Statistical weighted <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:mrow><mml:mo stretchy=\"true\">(</mml:mo><mml:msub><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy=\"true\">)</mml:mo></mml:mrow><mml:mrow><mml:mo stretchy=\"true\">(</mml:mo><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"true\">)</mml:mo></mml:mrow><mml:mspace width=\"0.25em\"/><mml:mi>A</mml:mi></mml:math>-summability with application to Korovkin's type approximation theorem","year":2022,"lang":"lv","type":"article","venue":"Bulletin des Sciences Mathématiques","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Convergence (economics); Mathematics; Statistical analysis; Algorithm; Combinatorics; Statistics","score_opus":0.019722437944722233,"score_gpt":0.25389209806012764,"score_spread":0.2341696601154054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4280648653","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35652116,0.004110717,0.0060948282,0.0032904441,0.0073116706,0.00036182397,0.0028177113,0.0017507866,0.61774087],"genre_scores_gemma":[0.9437426,0.004858978,0.016799994,0.004920685,0.0066542816,0.010242094,0.007176439,0.0047419746,0.0008630012],"study_design_codex":"not_applicable","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.95103556,0.004520337,0.009476252,0.009583302,0.013661959,0.011722584],"domain_scores_gemma":[0.960789,0.010113746,0.011828073,0.009090586,0.0016318527,0.006546713],"candidate_categories":["metaresearch","metaepi_narrow","sts","scholarly_communication","open_science","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","sts","open_science","research_integrity","insufficient_payload"],"category_scores_codex":[0.0135514755,0.0049421457,0.0019158729,0.003929782,0.010116743,0.009792357,0.013235989,0.010697361,0.8281393],"category_scores_gemma":[0.012370008,0.010225061,0.007809981,0.008355442,0.01356109,0.0072669648,0.010582342,0.008958432,0.008143785],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":false,"about_ca_system_candidate":true,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00677155,0.0016214397,0.000068666675,0.004891794,0.005569203,0.0032251808,0.0073083965,0.005692921,0.004181323,0.41486374,0.5396398,0.006166022],"study_design_scores_gemma":[0.0066611106,0.008975234,0.00016188691,0.0051556914,0.007359791,0.006760926,0.014586072,0.01640909,0.9053749,0.010052717,0.009159297,0.00934328],"about_ca_topic_score_codex":0.01046416,"about_ca_topic_score_gemma":0.009326259,"teacher_disagreement_score":0.90119356,"about_ca_system_score_codex":0.00018543654,"about_ca_system_score_gemma":0.0091667315,"threshold_uncertainty_score":0.9974199},"labels":[],"label_agreement":null},{"id":"W4293214018","doi":"10.28924/2291-8639-20-2022-42","title":"Some New Types of Convergence Definitions for Random Variable Sequences","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Proofs of convergence of random variables; Invariant (physics); Normal convergence; Compact convergence; Convergence (economics); Convergence tests; Convergence of random variables; Random variable; Applied mathematics; Weak convergence; Dominated convergence theorem; Modes of convergence (annotated index); Pure mathematics; Algebra of random variables; Rate of convergence; Statistics; Computer science","score_opus":0.04674913726594394,"score_gpt":0.3261827330978226,"score_spread":0.27943359583187866,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4293214018","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.026610883,0.00047804494,0.97030866,0.0016411253,0.00010080826,0.00019406917,0.00020430777,0.000008433554,0.00045369443],"genre_scores_gemma":[0.9496612,0.00028917284,0.049214117,0.000104627376,0.00021158531,0.000075764474,0.000030595605,0.0000056069302,0.0004073262],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991435,0.000042180793,0.00041836698,0.00008116934,0.0002596102,0.000055214354],"domain_scores_gemma":[0.99847317,0.0004894334,0.0005653943,0.00008256396,0.00034608887,0.000043335],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005420104,0.000054160442,0.00020952844,0.0002509595,0.00013434002,0.000022547285,0.00026708975,0.000015985624,0.0003444954],"category_scores_gemma":[0.00011669857,0.000047361755,0.00016179026,0.00032231875,0.000053906726,0.00014706119,0.00003532167,0.000068794856,5.4487685e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058326223,0.00008602945,0.00038760778,0.0000079331285,0.0009255813,3.8742633e-7,0.0002230651,0.0026002051,0.0012692406,0.9935402,0.00038346628,0.00051795685],"study_design_scores_gemma":[0.00047637886,0.000046420773,0.00005974161,0.0000062541267,0.00061870366,0.000017791277,0.0006299164,0.0016891315,0.0010722027,0.99012667,0.005199462,0.00005731998],"about_ca_topic_score_codex":0.000018853198,"about_ca_topic_score_gemma":0.00000391285,"teacher_disagreement_score":0.92305034,"about_ca_system_score_codex":0.00002466256,"about_ca_system_score_gemma":0.000110359426,"threshold_uncertainty_score":0.3771983},"labels":[],"label_agreement":null},{"id":"W4293229045","doi":"10.1186/s13660-022-02760-w","title":"A weighted mean Hausdorff type operator and its summability matrix domain","year":2022,"lang":"en","type":"article","venue":"Journal of Inequalities and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Dual polyhedron; Hausdorff space; Operator (biology); Hilbert space; Pure mathematics; Operator norm; Sequence (biology); Matrix (chemical analysis); Type (biology); Norm (philosophy); Sequence space; Combinatorics; Algebra over a field; Banach space","score_opus":0.04360628810368213,"score_gpt":0.33349008020887616,"score_spread":0.28988379210519405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4293229045","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9937845,0.0011982999,0.003014299,0.0012401124,0.00003623734,0.0002560659,0.00005446382,0.000016160298,0.00039989286],"genre_scores_gemma":[0.99292934,0.00015740079,0.0059729856,0.000107543245,0.000113856804,0.00006019835,0.0000043236228,0.00001052199,0.00064380286],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990539,0.00017037721,0.00040514962,0.00009367273,0.0001823819,0.00009451017],"domain_scores_gemma":[0.9990857,0.00028227002,0.00028107283,0.00011623128,0.00016063215,0.000074071526],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009623991,0.00008130699,0.000199138,0.00006401329,0.0003561941,0.000039796705,0.00011438935,0.000025872496,0.00020013996],"category_scores_gemma":[0.00006762974,0.00006583521,0.00003598267,0.00015523382,0.000057843885,0.00013293156,0.00007035153,0.00017045463,0.0000012490348],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004529263,0.00007526518,0.00015237693,0.00008191949,0.000027550956,0.000001415702,0.0029733113,0.000005577133,0.0012955555,0.9946027,0.0004290618,0.00031000475],"study_design_scores_gemma":[0.0004590497,0.00018580322,0.000038678994,0.0000182683,0.000041923,0.00013368904,0.031498563,0.00020044028,0.0007226301,0.93828535,0.028273785,0.00014179165],"about_ca_topic_score_codex":0.00000446342,"about_ca_topic_score_gemma":0.000003280889,"teacher_disagreement_score":0.056317292,"about_ca_system_score_codex":0.000034341618,"about_ca_system_score_gemma":0.00005844192,"threshold_uncertainty_score":0.27395928},"labels":[],"label_agreement":null},{"id":"W4299530430","doi":"10.1007/978-3-319-28684-6","title":"Approximation and Online Algorithms","year":2015,"lang":"en","type":"book","venue":"Lecture notes in computer science","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Computer science; Approximation algorithm; Algorithm","score_opus":0.04492900763069252,"score_gpt":0.3104928981351183,"score_spread":0.2655638905044258,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4299530430","genre_codex":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00070783,0.00022889888,0.99616474,0.00031020975,0.00035603196,0.0003477324,0.0000142470935,0.00009112997,0.0017791892],"genre_scores_gemma":[0.005988479,0.000023681177,0.9908475,0.00040889057,0.0006589384,0.000011356259,0.00004169894,0.000036074416,0.0019833301],"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99815845,0.000057850226,0.000323003,0.0005829251,0.00059131364,0.00028646126],"domain_scores_gemma":[0.99852955,0.0004947584,0.00023281144,0.0004302098,0.00020328427,0.00010936302],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013280993,0.0002756655,0.00036962313,0.0003261559,0.000118377146,0.00015046446,0.00052370713,0.00024120715,0.00001242833],"category_scores_gemma":[0.0004742286,0.00022888473,0.00003513502,0.00034776665,0.0007019975,0.000306523,0.00025576956,0.00044725044,0.000007618001],"study_design_candidate":"design_other","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013815346,0.0001376272,0.000021608594,0.00045127957,0.000018537201,0.000034702694,0.0070109535,0.0026465952,0.00007766438,0.068224505,0.0008045597,0.92055815],"study_design_scores_gemma":[0.00013776647,0.000056261393,0.0000037860086,0.0001812297,0.000008171766,0.0000332945,0.0000017617731,0.18035878,0.00021217062,0.81842536,0.00035273063,0.00022870259],"about_ca_topic_score_codex":0.0000030073288,"about_ca_topic_score_gemma":0.000022565357,"teacher_disagreement_score":0.92032945,"about_ca_system_score_codex":0.00023702651,"about_ca_system_score_gemma":0.0005455814,"threshold_uncertainty_score":0.93336487},"labels":[],"label_agreement":null},{"id":"W4303685535","doi":"10.3390/axioms11100537","title":"Some Probabilistic Generalizations of the Cheney–Sharma and Bernstein Approximation Operators","year":2022,"lang":"en","type":"article","venue":"Axioms","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Ministry of Higher Education, Malaysia","keywords":"Probabilistic logic; Generalization; Operator (biology); Mathematics; Bernstein polynomial; Convergence (economics); Baskakov operator; Applied mathematics; Mathematical economics; Operator theory; Discrete mathematics; Mathematical analysis; Statistics; Microlocal analysis; Economics; Fourier integral operator","score_opus":0.034626313079886464,"score_gpt":0.2754038939280676,"score_spread":0.24077758084818113,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4303685535","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9957802,0.000112548645,0.002400616,0.0006273597,0.00014375946,0.00047235127,0.000028172652,0.00003978119,0.00039518691],"genre_scores_gemma":[0.99810624,0.0000059497156,0.00080770906,0.000117632524,0.000036046058,0.00012773482,0.0000091918055,0.00001290274,0.0007766048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915045,0.00018385552,0.00022008855,0.00013189,0.00021498975,0.00009870423],"domain_scores_gemma":[0.999468,0.00008533903,0.00014587154,0.00023295038,0.000041489347,0.000026315285],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039049535,0.000081331265,0.000117731885,0.000041834384,0.00035182416,0.000016699798,0.00018076868,0.000023681609,0.0001798923],"category_scores_gemma":[0.0002500377,0.000060133214,0.00003740673,0.00024562777,0.0001224756,0.00014040223,0.00014572174,0.0000888423,0.0000016413294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000046127057,0.00005776164,0.00010482154,0.00007322567,0.000013460276,2.493735e-7,0.0031885065,0.0009525646,0.004031017,0.99121344,0.00022618881,0.00013416541],"study_design_scores_gemma":[0.00035207687,0.00005586063,0.00027536027,0.000029510587,0.000060788432,0.000020793077,0.0029401686,0.023088392,0.020827306,0.9518452,0.00030324666,0.00020126614],"about_ca_topic_score_codex":0.000009751446,"about_ca_topic_score_gemma":0.0000048915635,"teacher_disagreement_score":0.039368197,"about_ca_system_score_codex":0.000035793277,"about_ca_system_score_gemma":0.000039476094,"threshold_uncertainty_score":0.27059826},"labels":[],"label_agreement":null},{"id":"W4308391682","doi":"10.28924/2291-8639-20-2022-60","title":"Better Uniform Approximation by New Bivariate Bernstein Operators","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Bivariate analysis; Mathematics; Bernstein polynomial; Operator theory; Type (biology); Pure mathematics; Applied mathematics; Mathematical analysis; Statistics","score_opus":0.016283110122573632,"score_gpt":0.29837400734368325,"score_spread":0.28209089722110964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4308391682","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23604392,0.0001333865,0.75618154,0.0059974496,0.000089417765,0.0001912809,0.00009450708,0.00002167081,0.0012468112],"genre_scores_gemma":[0.98058456,0.00006204896,0.017424626,0.0004046985,0.00023218023,0.000043211916,0.000076740704,0.000011834239,0.0011600957],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998729,0.00007135968,0.0004999038,0.00012851029,0.0004867548,0.00008445535],"domain_scores_gemma":[0.9988924,0.000117598305,0.00055903656,0.00012974344,0.0002188313,0.00008238398],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005934152,0.000093081966,0.00020700468,0.0003667971,0.00019711939,0.00009530119,0.00037992047,0.000026115647,0.0005753804],"category_scores_gemma":[0.000038139642,0.00008152282,0.00014429366,0.0005076707,0.00003635862,0.0002485689,0.000083879015,0.00017043296,0.0000031100055],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011367058,0.0006646438,0.004679914,0.000018129505,0.005159069,0.0000095736095,0.0027313135,0.0027674467,0.009421363,0.9036013,0.01652263,0.054310966],"study_design_scores_gemma":[0.0014208887,0.00015782192,0.0005604088,0.000016768321,0.0017105875,0.00014367703,0.0033224756,0.00808386,0.0058152196,0.8667816,0.11153146,0.00045525847],"about_ca_topic_score_codex":0.000026475678,"about_ca_topic_score_gemma":0.0000060642265,"teacher_disagreement_score":0.74454063,"about_ca_system_score_codex":0.000079754725,"about_ca_system_score_gemma":0.000055748624,"threshold_uncertainty_score":0.6300012},"labels":[],"label_agreement":null},{"id":"W4311254628","doi":"","title":"On the B-differential of the componentwise minimum of two affine vectorial functions -The full report","year":2022,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Affine transformation; Differential (mechanical device); Mathematics; Combinatorics; Pure mathematics; Physics","score_opus":0.03189433301372231,"score_gpt":0.2685984662203813,"score_spread":0.236704133206659,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4311254628","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92510575,0.00009437073,0.03208027,0.015025354,0.0016349305,0.0012444402,0.00019381495,0.00009366724,0.024527416],"genre_scores_gemma":[0.98882395,0.0000218135,0.0017487961,0.000030223293,0.00006730091,0.0001536864,0.0001547697,0.00003335431,0.008966094],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99017733,0.0075734225,0.0008387795,0.0004184814,0.0007861341,0.00020584544],"domain_scores_gemma":[0.98780084,0.0061012823,0.0016971971,0.0033591571,0.0009922929,0.000049262002],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0067877853,0.00026817736,0.00040245068,0.00008762086,0.0006764698,0.00008729029,0.0018610193,0.00012925491,0.001457866],"category_scores_gemma":[0.004445826,0.00016059133,0.00041870988,0.0003673201,0.0006356926,0.000043963384,0.0016010285,0.00087528414,0.0000058748615],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000779045,0.0007552069,0.00012963919,0.00014097408,0.00016856444,0.0000017887902,0.0088411,0.00021558773,0.009981215,0.9756437,0.0036220548,0.0004222454],"study_design_scores_gemma":[0.0015983213,0.000005319165,0.00093484856,0.0020109657,0.00059793,0.00005748219,0.0023463208,0.01099138,0.14002669,0.8310016,0.009687396,0.00074176176],"about_ca_topic_score_codex":0.0002815092,"about_ca_topic_score_gemma":0.0004301737,"teacher_disagreement_score":0.14464213,"about_ca_system_score_codex":0.00008608766,"about_ca_system_score_gemma":0.00025866606,"threshold_uncertainty_score":0.9994549},"labels":[],"label_agreement":null},{"id":"W4312387532","doi":"10.2298/pim2226143p","title":"Asymptotic double subseries","year":2022,"lang":"en","type":"article","venue":"Publications de l Institut Mathematique","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Sequence (biology); Series (stratigraphy); Mathematics; Combinatorics; Pure mathematics; Chemistry","score_opus":0.07714438394825915,"score_gpt":0.3283001555309996,"score_spread":0.2511557715827405,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4312387532","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38918757,0.00011020745,0.21753162,0.015137146,0.0002810056,0.0018485893,0.00007753478,0.0017620443,0.3740643],"genre_scores_gemma":[0.9031558,0.000011154326,0.077728055,0.0004708062,0.000054095883,0.0031214887,0.00006014403,0.000045277495,0.015353152],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985812,0.00014218924,0.00038978935,0.0002614197,0.00031188078,0.0003135392],"domain_scores_gemma":[0.99859315,0.00027249535,0.0002392134,0.0006605173,0.00012685018,0.00010775393],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0012611977,0.00016632512,0.00021389914,0.00023641624,0.0009312495,0.000138554,0.00060337025,0.00005922349,0.0027566156],"category_scores_gemma":[0.000478003,0.0001683462,0.00009228263,0.00069364585,0.0001437561,0.0006006451,0.00019539826,0.0003151061,0.00008038312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012450783,0.00022346283,0.00016524566,0.00006798207,0.000024047273,0.0000016619994,0.0034150681,0.00015216289,0.0002618488,0.99040914,0.005179887,0.000087017215],"study_design_scores_gemma":[0.00032175935,0.000028686945,0.00006199474,0.000010194772,0.000023094293,0.0001696759,0.0018082197,0.0011301165,0.0016022031,0.9378523,0.05676514,0.00022656225],"about_ca_topic_score_codex":0.0000127363855,"about_ca_topic_score_gemma":0.000020990024,"teacher_disagreement_score":0.5139683,"about_ca_system_score_codex":0.00024378665,"about_ca_system_score_gemma":0.00031467783,"threshold_uncertainty_score":0.998155},"labels":[],"label_agreement":null},{"id":"W4313043026","doi":"10.23952/asvao.4.2022.3.07","title":"Notes on modular projections","year":2022,"lang":"en","type":"article","venue":"Applied Set-Valued Analysis and Optimization","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Modular design; Computer science; Programming language","score_opus":0.03221362332748916,"score_gpt":0.2871160452985153,"score_spread":0.25490242197102614,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313043026","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07678277,0.000017327275,0.91850287,0.00029515632,0.000033901426,0.00038793456,0.00003183063,0.00014162509,0.0038065636],"genre_scores_gemma":[0.94293034,0.000015342464,0.056158572,0.00017737239,0.000028959208,0.00018448666,0.00019632923,0.00001760769,0.00029096715],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988955,0.00012370158,0.00024407168,0.000303904,0.0002913398,0.00014146058],"domain_scores_gemma":[0.9993392,0.00015077855,0.00017141362,0.0002525559,0.00004092497,0.000045091656],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005238856,0.00013946407,0.00025239238,0.00035735543,0.0007569511,0.000056857363,0.000097046344,0.000042722033,0.0005649803],"category_scores_gemma":[0.000074108466,0.00012571798,0.000095808755,0.0012445783,0.000043832442,0.00007228704,0.000055237364,0.00013980006,0.0000034620155],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000249447,0.00007003857,0.000050958697,0.000007975154,0.00021671335,4.851052e-7,0.0007748472,0.7081951,0.00013315403,0.29012728,0.000049395258,0.00034914262],"study_design_scores_gemma":[0.00030995152,0.0000661335,0.00005104648,0.000002339481,0.0007753361,0.0000018877018,0.0019524546,0.9239293,0.00066058076,0.07190212,0.000121935234,0.00022696305],"about_ca_topic_score_codex":0.00001654825,"about_ca_topic_score_gemma":0.0000067011674,"teacher_disagreement_score":0.8661476,"about_ca_system_score_codex":0.000048650963,"about_ca_system_score_gemma":0.000018170385,"threshold_uncertainty_score":0.61861384},"labels":[],"label_agreement":null},{"id":"W4313360062","doi":"10.1007/978-3-031-21112-6_10","title":"Sequences","year":2023,"lang":"en","type":"book-chapter","venue":"Computer science foundations and applied logic","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McMaster University","funders":"","keywords":"Sequence (biology); Set (abstract data type); Function (biology); Mathematics; Computer science; Evolutionary biology; Biology; Genetics; Programming language","score_opus":0.10799767086031091,"score_gpt":0.31985555930309467,"score_spread":0.21185788844278375,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4313360062","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00054720684,0.000030779684,0.20818487,0.0005876249,0.0006079899,0.00061354873,0.000018771834,0.00053075794,0.78887844],"genre_scores_gemma":[0.07257966,0.00034625464,0.36111075,0.0010189643,0.0012839257,0.00015683346,0.000106369895,0.00014935437,0.5632479],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847615,0.000007974305,0.00029592167,0.00057995965,0.00038545617,0.00025452214],"domain_scores_gemma":[0.9989169,0.00026057367,0.00022679023,0.00038145753,0.000107532454,0.00010670189],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007679238,0.0002501384,0.00028591807,0.00028130613,0.0007663294,0.0003709038,0.00048183821,0.00013039145,0.00017616668],"category_scores_gemma":[0.0000317739,0.00020555896,0.000051520197,0.00019175785,0.0015758415,0.00020728666,0.00027216677,0.0002097971,0.00034002942],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000010717343,0.0000055688834,3.2664184e-7,0.000027936669,0.000007965488,0.0000020974871,0.0001887755,0.000020290847,0.000044340406,0.9875079,0.00032039423,0.011873364],"study_design_scores_gemma":[0.00006211825,0.00003202341,0.0000058888854,0.00004972304,0.00001915382,0.00001162647,0.00003615653,0.0012106542,0.000035597088,0.9941772,0.0040997257,0.00026009177],"about_ca_topic_score_codex":8.239172e-7,"about_ca_topic_score_gemma":0.0000032643748,"teacher_disagreement_score":0.22563055,"about_ca_system_score_codex":0.00004957603,"about_ca_system_score_gemma":0.00016981538,"threshold_uncertainty_score":0.8382451},"labels":[],"label_agreement":null},{"id":"W4315781483","doi":"10.4153/s0008439523000036","title":"Invariant ideals and their applications to the turnpike theory","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Ideal (ethics); Logarithm; Convergence (economics); Invariant (physics); Normal convergence; Property (philosophy); Applied mathematics; Pure mathematics; Mathematical analysis; Rate of convergence","score_opus":0.039465141548510246,"score_gpt":0.2813906942847277,"score_spread":0.24192555273621744,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4315781483","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1550708,0.00031249342,0.36813638,0.32541332,0.00021633785,0.0077441265,0.0004419132,0.0012519724,0.14141268],"genre_scores_gemma":[0.9690775,0.000019364847,0.006514527,0.006372238,0.00025472496,0.0013590443,0.000020855878,0.00008679293,0.016294954],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867266,0.00019400395,0.00029970496,0.0002592509,0.00014077859,0.00043358107],"domain_scores_gemma":[0.9968455,0.002010133,0.00006014506,0.0005265438,0.000055424996,0.00050224486],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0021069786,0.00018421392,0.00023847021,0.00015739749,0.0004101472,0.000111472174,0.00038124947,0.00009273987,0.0035129678],"category_scores_gemma":[0.0014732734,0.000113460956,0.000058213063,0.00042702816,0.00017269164,0.00002800144,0.00007884601,0.000176071,0.0121477125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000032345988,0.000008711394,0.0000014594849,0.00005970361,0.00001710382,0.000004603844,0.0024803085,0.0000025286706,0.000050963346,0.9656927,0.030029582,0.0016490963],"study_design_scores_gemma":[0.00006154227,0.000012881403,0.000015618669,0.00003916521,0.00001303158,0.00002363441,0.0030882794,0.00019932665,0.00012055979,0.8808982,0.11538491,0.00014285948],"about_ca_topic_score_codex":0.000071238064,"about_ca_topic_score_gemma":0.0005544839,"teacher_disagreement_score":0.8140067,"about_ca_system_score_codex":0.00005170488,"about_ca_system_score_gemma":0.00009870341,"threshold_uncertainty_score":0.99739796},"labels":[],"label_agreement":null},{"id":"W4319297020","doi":"10.3390/math11040805","title":"Some Functionals and Approximation Operators Associated with a Family of Discrete Probability Distributions","year":2023,"lang":"en","type":"article","venue":"Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Probability distribution; K-distribution; Mathematics; Statistical physics; Discrete modelling; Convolution of probability distributions; Distribution (mathematics); Applied mathematics; Probability mass function; Joint probability distribution; Mathematical analysis; Statistics; Discrete system; Physics; Algorithm","score_opus":0.05419294639484794,"score_gpt":0.2910332950101978,"score_spread":0.23684034861534986,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4319297020","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.96585715,0.000018117791,0.03239774,0.00025108256,0.000030156032,0.0005775695,0.00015125706,0.00023585107,0.00048105684],"genre_scores_gemma":[0.97517073,0.000015476006,0.023915745,0.000022989609,0.000028669023,0.00014596179,0.00016932434,0.000029474579,0.0005016349],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987625,0.000091712944,0.00042695092,0.00019120568,0.00033168518,0.00019593131],"domain_scores_gemma":[0.9985103,0.0006986054,0.00028788613,0.00027271686,0.00017022216,0.00006026742],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010882101,0.00016152044,0.00031771653,0.00011334012,0.00016629165,0.000037888036,0.00010531718,0.000087370645,0.00002003417],"category_scores_gemma":[0.0014304575,0.0001181068,0.00005006321,0.00061358715,0.00023731323,0.00025893393,0.00005434793,0.00010052326,0.000011629874],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001180247,0.0001777499,0.0003341789,0.00046113486,0.000078433615,0.0000010634019,0.0020423322,0.00005955062,0.0008962436,0.9955543,0.0003300023,0.000053175725],"study_design_scores_gemma":[0.00030897316,0.00007950525,0.0010061254,0.0001881365,0.00006999362,0.0000035609253,0.0016717318,0.009826578,0.0016766479,0.9849866,0.000020570313,0.0001615719],"about_ca_topic_score_codex":0.0000021166761,"about_ca_topic_score_gemma":0.0000033765048,"teacher_disagreement_score":0.0105677275,"about_ca_system_score_codex":0.000044589367,"about_ca_system_score_gemma":0.00004578104,"threshold_uncertainty_score":0.48162556},"labels":[],"label_agreement":null},{"id":"W4319443500","doi":"10.1002/mma.9034","title":"Degree of convergence of a function of several variables in generalized Hölder spaces","year":2023,"lang":"en","type":"article","venue":"Mathematical Methods in the Applied Sciences","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Fourier series; Degree (music); Convergence (economics); Mathematical analysis; Matrix (chemical analysis); Conjugate Fourier series; Function (biology); Pure mathematics; Fourier transform; Fourier analysis; Short-time Fourier transform","score_opus":0.20305572200748997,"score_gpt":0.43008118337605394,"score_spread":0.22702546136856397,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4319443500","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6430076,0.000026941141,0.34673265,0.00020038852,0.000059757378,0.00047482445,0.000003571015,0.000026141013,0.009468168],"genre_scores_gemma":[0.5494338,0.0000056498793,0.4504386,0.00001792247,0.000006506926,0.000047875987,3.5638422e-7,0.000004950119,0.000044324042],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99746126,0.0007281712,0.0008214951,0.00022637993,0.00051831995,0.00024435364],"domain_scores_gemma":[0.9939675,0.005225739,0.00042112824,0.00031399162,0.00004810025,0.000023583829],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01371523,0.00013700634,0.0005426803,0.00029134608,0.000055135068,0.000013973204,0.000615948,0.00008687031,0.00016268392],"category_scores_gemma":[0.0016658305,0.00008467079,0.00007300067,0.002002789,0.00092915836,0.000105942534,0.000093313334,0.00012304034,0.000004487764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039250048,0.000115202434,0.00013315497,0.00043925608,0.000010604814,4.6765962e-7,0.005839816,0.00046604621,0.035111908,0.95716625,0.00003065103,0.0006473903],"study_design_scores_gemma":[0.00023237088,0.000057505575,0.0002538723,0.000108059685,0.000019734669,0.0000016708544,0.007558582,0.016286302,0.040732954,0.93465924,0.0000040936693,0.00008559379],"about_ca_topic_score_codex":0.000012434707,"about_ca_topic_score_gemma":0.0000057095435,"teacher_disagreement_score":0.10370593,"about_ca_system_score_codex":0.000010845023,"about_ca_system_score_gemma":0.0000568143,"threshold_uncertainty_score":0.47534525},"labels":[],"label_agreement":null},{"id":"W4321238153","doi":"10.1007/s00009-023-02310-8","title":"Composition of the Cesàro Operator and Its Transpose","year":2023,"lang":"en","type":"article","venue":"Mediterranean Journal of Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Transpose; Operator norm; Operator (biology); Pure mathematics; Norm (philosophy); Hilbert space; Nuclear operator; Composition (language); Matrix norm; Generalization; Algebra over a field; Eigenvalues and eigenvectors; Finite-rank operator; Mathematical analysis","score_opus":0.07553635288524177,"score_gpt":0.313362468367585,"score_spread":0.23782611548234325,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4321238153","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9961395,0.00011985998,0.002185643,0.0008285031,0.00027268677,0.00017306977,0.000012774532,0.000019421148,0.00024852887],"genre_scores_gemma":[0.9936671,0.00007288338,0.005943372,0.000033796365,0.000119664306,0.0000020828202,9.361717e-7,0.0000176454,0.00014248173],"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862415,0.00012429261,0.00063881977,0.000062622144,0.00042748044,0.00012263484],"domain_scores_gemma":[0.99854714,0.0004878025,0.0005624099,0.00015349968,0.0001817203,0.00006743991],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013728993,0.000113460264,0.00032371763,0.00010926863,0.000088053406,0.00001897933,0.00027534275,0.00005680599,0.00006934957],"category_scores_gemma":[0.0003568884,0.000067596695,0.00011032662,0.00025051745,0.00010611658,0.00017794716,0.000027613956,0.0001773526,0.000007239341],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00026295337,0.0013354615,0.00034904917,0.009523113,0.0006871912,0.00016202556,0.29147545,0.00042998404,0.341669,0.33992246,0.010448089,0.0037352669],"study_design_scores_gemma":[0.0023887102,0.00049936405,0.0002605407,0.003410274,0.0004552661,0.0010007819,0.019625964,0.017215827,0.25638345,0.6980192,0.00032553985,0.0004150461],"about_ca_topic_score_codex":1.1930611e-7,"about_ca_topic_score_gemma":4.2760405e-7,"teacher_disagreement_score":0.35809678,"about_ca_system_score_codex":0.000011823186,"about_ca_system_score_gemma":0.000033748707,"threshold_uncertainty_score":0.27565134},"labels":[],"label_agreement":null},{"id":"W4327918002","doi":"10.20944/preprints202303.0342.v1","title":"Norm of Hilbert Operator’s Commutants","year":2023,"lang":"en","type":"preprint","venue":"Preprints.org","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Transpose; Pure mathematics; Norm (philosophy); Operator norm; Hilbert space; Nuclear operator; Matrix norm; Algebra over a field; Approximation property; Eigenvalues and eigenvectors; Physics; Banach space","score_opus":0.3247042985401588,"score_gpt":0.41882896314777046,"score_spread":0.09412466460761165,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4327918002","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9799981,0.000035956604,0.00063457707,0.00055197725,0.0006167525,0.000803487,0.00009190376,0.00041239726,0.016854847],"genre_scores_gemma":[0.99146277,0.00009897294,0.00182906,0.000056929515,0.00010516181,0.0001611576,0.00004266352,0.000086359156,0.0061569344],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99731386,0.0002889795,0.0008969711,0.000678182,0.00048431655,0.00033767888],"domain_scores_gemma":[0.996455,0.0004925493,0.00065547857,0.0020146812,0.00026132097,0.00012096279],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0017807143,0.00039302587,0.0007880791,0.00018038164,0.00011466545,0.000021212563,0.0011837891,0.00045698846,0.0014290246],"category_scores_gemma":[0.0015578355,0.00037928284,0.00026315954,0.0002036339,0.00022577634,0.00011919207,0.0024441828,0.0008843334,0.0017997703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002739981,0.0011700566,0.43994534,0.006296374,0.0013910634,0.000081788065,0.028241372,0.0009333359,0.028497467,0.49082652,0.0016848032,0.0006578614],"study_design_scores_gemma":[0.00038327856,0.000021712944,0.016329857,0.0008298037,0.00012944303,0.000009159679,0.00093441264,0.0003838262,0.15171118,0.8279988,0.00062300026,0.0006455261],"about_ca_topic_score_codex":0.00012877389,"about_ca_topic_score_gemma":0.000045869885,"teacher_disagreement_score":0.4236155,"about_ca_system_score_codex":0.00010832577,"about_ca_system_score_gemma":0.00020057091,"threshold_uncertainty_score":0.9998659},"labels":[],"label_agreement":null},{"id":"W4362520492","doi":"10.33993/jnaat391-916","title":"The Kantorovich form of some extensions for the Szász-Mirakjan operators","year":2010,"lang":"en","type":"article","venue":"Journal of Numerical Analysis and Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Science North","funders":"","keywords":"Mathematics; Modulus of continuity; Operator theory; Baskakov operator; Bivariate analysis; Linear operators; Sequence (biology); Constant coefficients; Spectral theorem; Convergence (economics); Pure mathematics; Fourier integral operator; Operator norm; Construct (python library); Extension (predicate logic); Degree (music); Microlocal analysis; Mathematical analysis; Type (biology); Computer science","score_opus":0.019912138565746234,"score_gpt":0.3040198171405302,"score_spread":0.284107678574784,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4362520492","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4405756,0.00045577544,0.55524945,0.0029833883,0.00021006558,0.00035249125,0.000011945899,0.000013669424,0.00014761968],"genre_scores_gemma":[0.9875689,0.00013016169,0.011772447,0.00011909633,0.00016179892,0.000017743045,0.000001743112,0.000011853147,0.00021623562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984019,0.00019264298,0.00079213217,0.000117437245,0.00032886156,0.00016707531],"domain_scores_gemma":[0.99445647,0.003734524,0.0009854125,0.00029199023,0.00044461404,0.00008701312],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004082526,0.00013884134,0.0004373341,0.00013501321,0.0005521558,0.00008957999,0.00034099337,0.00007665083,0.00006228792],"category_scores_gemma":[0.001731003,0.000062270934,0.00042628765,0.0004711374,0.00032096912,0.00031582874,0.000039690058,0.0002889578,8.599123e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011032477,0.00009888415,0.00015878356,0.000029544715,0.0006975243,3.4436917e-7,0.001228467,0.000043122964,0.0028538804,0.98220557,0.00015051609,0.012423033],"study_design_scores_gemma":[0.00032145972,0.00011025205,0.0005404487,0.000014439411,0.0011870553,0.000018021197,0.0031920932,0.020530991,0.002980544,0.9700888,0.00090738497,0.000108519795],"about_ca_topic_score_codex":0.0000025961958,"about_ca_topic_score_gemma":0.000006182748,"teacher_disagreement_score":0.5469933,"about_ca_system_score_codex":0.000011505155,"about_ca_system_score_gemma":0.00004641117,"threshold_uncertainty_score":0.42467913},"labels":[],"label_agreement":null},{"id":"W4376166816","doi":"10.48550/arxiv.2305.05716","title":"On the Divergence of Taylor Series in de Branges-Rovnyak Spaces","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Taylor series; Mathematics; Norm (philosophy); Entire function; Divergence (linguistics); Infinity; Sequence (biology); Pure mathematics; Space (punctuation); Uniform norm; Mathematical analysis; Law; Computer science; Philosophy","score_opus":0.18000912188797666,"score_gpt":0.2360895093985666,"score_spread":0.05608038751058994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4376166816","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9889674,0.000013396572,0.00787965,0.0004933431,0.00015578872,0.00033580654,0.000043095424,0.00010057254,0.0020109194],"genre_scores_gemma":[0.99522007,0.00013829376,0.00028314153,0.000029484761,0.000022531289,0.0000028684397,0.000004603517,0.000020462492,0.0042785485],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988377,0.00027957407,0.00018685567,0.00037912017,0.00009068254,0.00022604049],"domain_scores_gemma":[0.9981064,0.0008969864,0.00029270205,0.0005921783,0.00006462075,0.000047076122],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071498146,0.00020719726,0.0002991424,0.0001777018,0.00009476914,0.00002429652,0.0006824619,0.0001955199,0.00016595567],"category_scores_gemma":[0.0005472483,0.00017468615,0.0001317182,0.00040614099,0.00027178045,0.00012000753,0.00042893927,0.00041946518,0.00005275197],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010377135,0.000056868557,0.002920647,0.00023176237,0.00004982344,0.00007253462,0.0018163205,0.019651325,0.00008550224,0.9746813,0.00031239653,0.00001775076],"study_design_scores_gemma":[0.0001352746,0.00004047512,0.000595503,0.00022043189,0.000042184438,0.0000010553109,0.0028884436,0.0068628234,0.0015772461,0.98742485,0.000021660904,0.00019004763],"about_ca_topic_score_codex":0.00014373219,"about_ca_topic_score_gemma":0.00031338286,"teacher_disagreement_score":0.012788502,"about_ca_system_score_codex":0.00010031358,"about_ca_system_score_gemma":0.000076634264,"threshold_uncertainty_score":0.7123495},"labels":[],"label_agreement":null},{"id":"W4380923665","doi":"10.1007/s10473-023-0404-0","title":"Banach Spaces and Inequalities Associated with New Generalization of Cesàro Matrix","year":2022,"lang":"en","type":"article","venue":"Acta Mathematica Scientia","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Toeplitz matrix; Matrix (chemical analysis); Pure mathematics; Norm (philosophy); Bounded function; Generalization; Domain (mathematical analysis); Banach space; Mathematical analysis","score_opus":0.04179374689683154,"score_gpt":0.29707547960524816,"score_spread":0.25528173270841664,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4380923665","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9862788,0.00006707175,0.010144686,0.00079861615,0.000060945014,0.00031837024,0.000033960503,0.0000857414,0.0022118296],"genre_scores_gemma":[0.9768543,0.0000037591046,0.01677393,0.00003404143,0.000015993683,0.000024637291,0.000021357831,0.000022096287,0.0062498352],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998446,0.0001731828,0.00037083376,0.00022331216,0.0005778292,0.00020882676],"domain_scores_gemma":[0.9986748,0.00040975132,0.00047110885,0.00028346645,0.000083784376,0.00007707848],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013011309,0.00014698463,0.00030154877,0.00016290853,0.00031465548,0.00008516903,0.00024748,0.000035526817,0.00088567473],"category_scores_gemma":[0.00054255466,0.00011795499,0.00004086838,0.0005284124,0.00017906404,0.00029638776,0.0001499497,0.00009704155,0.0000020309608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029623121,0.00019676288,0.00057003455,0.00025693898,0.000106429354,0.0000019974584,0.014814491,0.00010278837,0.00366877,0.97297496,0.0072190273,0.00005819528],"study_design_scores_gemma":[0.0007209938,0.00022924684,0.00020500468,0.00012959437,0.00016817314,0.000033093933,0.010002978,0.005645714,0.0050924607,0.9770083,0.00042503676,0.00033944868],"about_ca_topic_score_codex":0.000018823444,"about_ca_topic_score_gemma":0.000022029839,"teacher_disagreement_score":0.009424429,"about_ca_system_score_codex":0.000036265083,"about_ca_system_score_gemma":0.00009294985,"threshold_uncertainty_score":0.9697517},"labels":[],"label_agreement":null},{"id":"W4381686818","doi":"10.2298/fil2305673i","title":"Compact operators on Cesàro sequence spaces and norms of Cesàro operators","year":2023,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Hausdorff space; Pure mathematics; Characterization (materials science); Hausdorff measure; Compact operator; Measure (data warehouse); Compact operator on Hilbert space; Discrete mathematics; Hausdorff dimension; Extension (predicate logic); Computer science","score_opus":0.08021269727114252,"score_gpt":0.34269709064059056,"score_spread":0.26248439336944807,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4381686818","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99466586,0.000022751243,0.0000617692,0.00053120696,0.00012481384,0.0002562389,0.00007752034,0.00020750976,0.0040523373],"genre_scores_gemma":[0.9976203,0.000036827187,0.0010066819,0.0000929793,0.000041940166,0.000012185681,0.00001656646,0.000027198927,0.0011453236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99876505,0.00010318016,0.00031071957,0.00026329784,0.00029385957,0.0002638975],"domain_scores_gemma":[0.99896514,0.00039045833,0.00015055873,0.00031788126,0.00006618595,0.000109781366],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005048954,0.0002058365,0.000345561,0.00016437542,0.00016224779,0.00007210566,0.00021882469,0.00008953513,0.00029198595],"category_scores_gemma":[0.00030548702,0.0001541071,0.0000558684,0.0004495706,0.00020693339,0.00028112126,0.000058146277,0.00013152428,0.00017167133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023220267,0.00032933863,0.021299247,0.0014124524,0.0002480184,0.000111744266,0.023427509,0.00078138686,0.046789546,0.87883335,0.024092749,0.0024424463],"study_design_scores_gemma":[0.002867593,0.0016708642,0.015657328,0.0015068382,0.00015761169,0.000117125324,0.021812834,0.012448212,0.5155363,0.41936758,0.0066290535,0.0022286393],"about_ca_topic_score_codex":0.000025088215,"about_ca_topic_score_gemma":0.000013375514,"teacher_disagreement_score":0.46874675,"about_ca_system_score_codex":0.000025902527,"about_ca_system_score_gemma":0.000040942676,"threshold_uncertainty_score":0.6284305},"labels":[],"label_agreement":null},{"id":"W4384616620","doi":"10.23952/jnva.7.2023.3.07","title":"Embedding of Qp spaces into tent spaces and the extended Cesàro operator","year":2023,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"Basic and Applied Basic Research Foundation of Guangdong Province","keywords":"Embedding; Mathematics; Pure mathematics; Operator (biology); Computer science; Artificial intelligence","score_opus":0.02554886919668019,"score_gpt":0.33153554294209725,"score_spread":0.30598667374541705,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4384616620","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.97743773,0.00031385937,0.017960882,0.0040355166,0.00004906753,0.00007732802,0.00001585644,0.000010202166,0.00009955749],"genre_scores_gemma":[0.9658663,0.00034539343,0.033269655,0.00005080617,0.00016962604,0.0000022530362,0.0000061739947,0.000006809437,0.00028297922],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9988051,0.0001700259,0.00047927923,0.000097892036,0.0003593829,0.000088322835],"domain_scores_gemma":[0.99807197,0.00093512755,0.0005542927,0.000090146335,0.0002908871,0.000057604204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019600545,0.00009667807,0.00040787706,0.0003267155,0.00015829652,0.00008347403,0.00011328781,0.000044076936,0.00008578489],"category_scores_gemma":[0.0006782459,0.00005435375,0.00017816294,0.00068073114,0.00013572005,0.00020719986,0.000047441416,0.00011351824,0.000001752538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010396821,0.00041449995,0.021774968,0.00040663534,0.010914307,0.000031164935,0.030052308,0.018704643,0.00356624,0.90978944,0.00091345015,0.0023926592],"study_design_scores_gemma":[0.0018898475,0.00013903386,0.012007824,0.00009132894,0.0029813484,0.000042403462,0.0102600055,0.54641414,0.0005878077,0.4250151,0.00035398328,0.00021717155],"about_ca_topic_score_codex":0.000018003639,"about_ca_topic_score_gemma":0.000015517011,"teacher_disagreement_score":0.5277095,"about_ca_system_score_codex":0.000011252301,"about_ca_system_score_gemma":0.000050877858,"threshold_uncertainty_score":0.22164816},"labels":[],"label_agreement":null},{"id":"W4386001711","doi":"10.1007/s00025-023-01996-2","title":"Factorization of Infinite L-matrices","year":2023,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria; Université Laval","funders":"","keywords":"Mathematics; Factorization; Hausdorff space; Sequence (biology); Pure mathematics; Matrix decomposition; Algebra over a field; Norm (philosophy); Combinatorics; Eigenvalues and eigenvectors; Algorithm","score_opus":0.07301101359967253,"score_gpt":0.34389206453253757,"score_spread":0.270881050932865,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386001711","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9115043,0.000042897194,0.041907202,0.0003753043,0.0002493436,0.00081132574,0.00012760948,0.0005583692,0.04442364],"genre_scores_gemma":[0.9686856,0.000116869436,0.02975534,0.000006727525,0.00003603623,0.000018144521,0.000029301562,0.000025255948,0.0013266883],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99857736,0.00006536415,0.0007239538,0.0001433514,0.00030344437,0.00018655711],"domain_scores_gemma":[0.9976798,0.0014951637,0.00039434183,0.00032270298,0.00007652209,0.00003145255],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001278991,0.0001202982,0.0002768621,0.00031697136,0.000037334827,0.000016777032,0.0002034994,0.00009687319,0.00002698406],"category_scores_gemma":[0.0029648128,0.00010232416,0.000050807,0.0010585518,0.00006114622,0.00014956675,0.000050430725,0.00009913719,0.00007687528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004132193,0.00021144381,0.00032123434,0.0013476737,0.000025379453,0.000008970541,0.020581368,0.00050678314,0.0017929921,0.97307914,0.0011813296,0.00090236217],"study_design_scores_gemma":[0.00043266016,0.000030547373,0.0001633592,0.00026037465,0.000011180647,0.0000018526596,0.002424537,0.0076955548,0.0048368317,0.9838341,0.00018138908,0.00012762513],"about_ca_topic_score_codex":0.0000033801448,"about_ca_topic_score_gemma":0.0000061793885,"teacher_disagreement_score":0.057181325,"about_ca_system_score_codex":0.000024416728,"about_ca_system_score_gemma":0.00002795664,"threshold_uncertainty_score":0.4172658},"labels":[],"label_agreement":null},{"id":"W4386099170","doi":"10.3390/sci5030032","title":"An Analysis of the Convergence Problem of a Function in Functional Norms by Applying the Generalized Nörlund-Matrix Product Operator","year":2023,"lang":"en","type":"article","venue":"Sci","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Convergence (economics); Mathematics; Fourier series; Matrix (chemical analysis); Matrix function; Operator (biology); Applied mathematics; Function (biology); Product (mathematics); Fourier transform; Series (stratigraphy); Pure mathematics; Mathematical analysis; Symmetric matrix; Eigenvalues and eigenvectors; Physics","score_opus":0.03480729931723937,"score_gpt":0.3106816116299204,"score_spread":0.27587431231268106,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4386099170","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99587804,0.00004207527,0.0027637149,0.00038989531,0.0000991753,0.000651248,0.000030329637,0.000035549863,0.000109998386],"genre_scores_gemma":[0.9983055,0.000007732256,0.0006208896,0.000027146501,0.000025432451,0.000201031,0.000026807236,0.000007902003,0.0007775614],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998838,0.00019788939,0.00033798636,0.00018504978,0.00031448068,0.00012657906],"domain_scores_gemma":[0.9991713,0.000111489244,0.00021399472,0.00036902836,0.000113827744,0.000020317035],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011918161,0.00008696806,0.00020649018,0.00013841802,0.00012674865,0.00001641158,0.00023309072,0.00003556355,0.0002076568],"category_scores_gemma":[0.000118958145,0.000047102483,0.00009309413,0.0020974032,0.00013452809,0.00016488096,0.0000391817,0.0000870511,0.000006917201],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003516465,0.00040679812,0.07304784,0.0004619534,0.00094522483,9.790454e-7,0.0097121885,0.05323209,0.42745277,0.427571,0.0053609237,0.0014565603],"study_design_scores_gemma":[0.002134934,0.0002584116,0.044580888,0.00018768529,0.0019011503,0.0000058350006,0.018236425,0.27925813,0.18104085,0.4693389,0.0022136404,0.0008431665],"about_ca_topic_score_codex":0.00006437871,"about_ca_topic_score_gemma":0.00010478535,"teacher_disagreement_score":0.24641193,"about_ca_system_score_codex":0.000022566222,"about_ca_system_score_gemma":0.000058931608,"threshold_uncertainty_score":0.22736964},"labels":[],"label_agreement":null},{"id":"W4387017031","doi":"10.28924/2291-8639-21-2023-106","title":"Order of Approximation by a New Univariate Kantorovich Type Operator","year":2023,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Integrable system; Univariate; Modulus of continuity; Type (biology); Operator (biology); Smoothness; Order (exchange); Lebesgue integration; Applied mathematics; Pure mathematics; Sequence (biology); Mathematical analysis; Multivariate statistics; Statistics","score_opus":0.024479611569473522,"score_gpt":0.3416770768183866,"score_spread":0.31719746524891307,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387017031","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33198008,0.00018179031,0.66366976,0.002741281,0.000095085066,0.0001933745,0.000053295287,0.000035834524,0.0010495195],"genre_scores_gemma":[0.98299927,0.00034762817,0.014942909,0.000059812875,0.00016482841,0.000007642918,0.000060778817,0.000010139503,0.0014070022],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990382,0.000038914928,0.00045728788,0.00009406849,0.000304819,0.000066688175],"domain_scores_gemma":[0.99842477,0.0001601384,0.00048553664,0.000112527894,0.0007530784,0.000063951935],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045049985,0.00007225149,0.00021405591,0.0003624605,0.00004614431,0.000043852393,0.00024365452,0.000040859333,0.0001332142],"category_scores_gemma":[0.00015592513,0.00005902032,0.00009132543,0.0011620112,0.000040614916,0.00018239788,0.00003183053,0.00007100328,0.000007967613],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011191359,0.0003174155,0.0035182587,0.000048474696,0.004289785,0.0000037956145,0.0019791282,0.0011803107,0.038797174,0.9212022,0.011282724,0.01726883],"study_design_scores_gemma":[0.002057719,0.00023130076,0.0031064402,0.00012086144,0.0028384826,0.00005174071,0.0036591217,0.027781408,0.028059466,0.88958824,0.041941486,0.00056371425],"about_ca_topic_score_codex":0.000024461831,"about_ca_topic_score_gemma":0.000007850494,"teacher_disagreement_score":0.6510192,"about_ca_system_score_codex":0.00002104603,"about_ca_system_score_gemma":0.000078664256,"threshold_uncertainty_score":0.24067788},"labels":[],"label_agreement":null},{"id":"W4387260721","doi":"10.23952/jnva.7.2023.5.06","title":"Existence results and optimization over the set of efficient solutions in vector-valued approximation theory","year":2023,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Vector optimization; Set (abstract data type); Mathematics; Applied mathematics; Mathematical optimization; Optimization problem; Computer science","score_opus":0.05210973925476211,"score_gpt":0.32053470671339274,"score_spread":0.26842496745863065,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387260721","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6380292,0.00009079275,0.36014128,0.0013049375,0.000045157503,0.00014107407,0.00008826954,0.0000115663925,0.00014772684],"genre_scores_gemma":[0.95732665,0.00007563249,0.042397156,0.000021435993,0.000076427794,0.000002841987,0.000039055736,0.0000051954853,0.000055632845],"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.9986947,0.0002618894,0.0005611573,0.00009491997,0.00030074245,0.00008658765],"domain_scores_gemma":[0.99817413,0.00093743886,0.00054723135,0.00009591635,0.00021510475,0.00003017801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033868072,0.00007185378,0.00022286113,0.00039264053,0.00011292432,0.00002653337,0.0000808339,0.00004634937,0.000022388129],"category_scores_gemma":[0.0011237707,0.00004717664,0.00009113114,0.0010949742,0.00007848262,0.00012619003,0.00003032328,0.00010231813,4.8192226e-7],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019079781,0.00008321512,0.00048350514,0.000039643382,0.0003802877,0.0000018382212,0.0037902184,0.5056955,0.00011917123,0.4889696,0.000026857377,0.00021933412],"study_design_scores_gemma":[0.00041694267,0.000030604704,0.012650442,0.00002559026,0.00032557934,0.0000055979226,0.0008583453,0.90130496,0.000028046978,0.084296525,0.000006878086,0.000050509825],"about_ca_topic_score_codex":0.000008827951,"about_ca_topic_score_gemma":0.000008094702,"teacher_disagreement_score":0.40467307,"about_ca_system_score_codex":0.000028103565,"about_ca_system_score_gemma":0.000047015805,"threshold_uncertainty_score":0.19238076},"labels":[],"label_agreement":null},{"id":"W4387618195","doi":"10.3390/axioms12100964","title":"A Certain Class of Equi-Statistical Convergence in the Sense of the Deferred Power-Series Method","year":2023,"lang":"en","type":"article","venue":"Axioms","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Convergence (economics); Normal convergence; Series (stratigraphy); Mathematics; Class (philosophy); Convergence tests; Relation (database); Applied mathematics; Rate of convergence; Power series; Sense (electronics); Point (geometry); Power (physics); Computer science; Mathematical analysis; Artificial intelligence; Data mining","score_opus":0.06765744301645178,"score_gpt":0.370567897961606,"score_spread":0.30291045494515423,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4387618195","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.94197863,0.000017976952,0.05225331,0.002074813,0.00016546027,0.00039867475,0.000054497967,0.00003982867,0.003016777],"genre_scores_gemma":[0.9959533,0.0000058605056,0.00356361,0.000060980485,0.0000064955525,0.000017788496,0.0000023063437,0.000007994076,0.00038165442],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986272,0.00055609195,0.0003054405,0.00010933336,0.00025199697,0.00014997246],"domain_scores_gemma":[0.99758536,0.0018660186,0.00014892657,0.00033634494,0.000046461897,0.000016864256],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015387065,0.00008298066,0.00019039947,0.0000455175,0.000049265,0.000007165491,0.00024209035,0.00005370298,0.00009774254],"category_scores_gemma":[0.0018058913,0.000046067682,0.000058277205,0.00051385304,0.00028574798,0.00006126279,0.0000649816,0.00010708332,0.000014092427],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037096775,0.00002966401,0.0000979731,0.00007508178,0.000012793213,0.0000072149755,0.011782446,0.000029987556,0.004586484,0.98283005,0.0003956637,0.00011554758],"study_design_scores_gemma":[0.0001779209,0.000068086825,0.0018442424,0.000064236825,0.00002392758,0.000021861459,0.0214156,0.0031628122,0.022035275,0.9509741,0.00011600212,0.0000959044],"about_ca_topic_score_codex":0.000031174608,"about_ca_topic_score_gemma":0.00005129575,"teacher_disagreement_score":0.053974647,"about_ca_system_score_codex":0.000009286586,"about_ca_system_score_gemma":0.000038922022,"threshold_uncertainty_score":0.21619509},"labels":[],"label_agreement":null},{"id":"W4388320752","doi":"10.1093/oso/9780198501657.003.0003","title":"Special summability methods","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Null (SQL); Consistency (knowledge bases); Mathematics; Property (philosophy); Pure mathematics; Matrix (chemical analysis); Value (mathematics); Type (biology); Calculus (dental); Discrete mathematics; Computer science; Statistics; Epistemology; Philosophy; Data mining; Medicine","score_opus":0.09811319381266877,"score_gpt":0.38282652333326395,"score_spread":0.2847133295205952,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388320752","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.000010708036,0.000024403871,0.010590333,0.000106446336,0.00029836895,0.00029471627,0.000018321549,0.00016743306,0.9884893],"genre_scores_gemma":[0.0000066843645,0.000038297898,0.16255975,0.000078301484,0.0021615352,0.000005677878,0.000011529173,0.000039413728,0.8350988],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987969,0.000091579845,0.00040614593,0.00032903522,0.00021269219,0.00016366914],"domain_scores_gemma":[0.9985449,0.0006166556,0.00016714439,0.00054530276,0.000052897827,0.000073140625],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00092838274,0.00028851372,0.00047456552,0.00007022966,0.00007996626,0.000031409556,0.00022681656,0.00039639283,0.11781366],"category_scores_gemma":[0.00014329849,0.00023611226,0.00022699738,0.00001593744,0.00019590768,0.000080927486,0.000040975745,0.00032965117,0.000864003],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018186412,0.000011750359,1.5755934e-7,0.0000433155,0.000030545718,0.000003140874,0.00015071883,1.5938927e-7,0.0000025762474,0.94688153,0.016366357,0.036491565],"study_design_scores_gemma":[0.00004177141,0.0000121525345,1.5290848e-7,0.000019735715,0.000029216117,0.0000033184053,0.0000129812925,0.000004772117,0.000111414585,0.5885506,0.41105264,0.00016117637],"about_ca_topic_score_codex":0.0000019451443,"about_ca_topic_score_gemma":0.000014596087,"teacher_disagreement_score":0.3946863,"about_ca_system_score_codex":0.00006328257,"about_ca_system_score_gemma":0.00006382879,"threshold_uncertainty_score":0.99991393},"labels":[],"label_agreement":null},{"id":"W4388321142","doi":"10.1093/oso/9780198501657.003.0011","title":"Some aspects of topological sequence spaces","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Sequence (biology); Equivalence (formal languages); Mathematics; Topological space; Sequence space; Space (punctuation); Pure mathematics; Statement (logic); Topology (electrical circuits); Combinatorics; Computer science; Epistemology; Banach space; Philosophy","score_opus":0.08852403944012001,"score_gpt":0.31530876794694984,"score_spread":0.22678472850682985,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388321142","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0009263871,0.0002612734,0.00018060819,0.00031569108,0.00007192866,0.00025007455,0.000028895245,0.00014552036,0.9978196],"genre_scores_gemma":[0.04678846,0.0005708264,0.0071493066,0.0001782715,0.00025361223,0.000008018735,0.000014581996,0.00004749917,0.94498944],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99877197,0.000028708231,0.0004122696,0.00029459054,0.00030948326,0.00018299656],"domain_scores_gemma":[0.9988179,0.00033410807,0.0003130525,0.00040792406,0.000057954385,0.0000690609],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00023314597,0.00029279897,0.00055747613,0.0000980281,0.00005406045,0.000020436608,0.00029025666,0.0004136812,0.013931319],"category_scores_gemma":[0.00008226516,0.0002186267,0.00017514624,0.000020277059,0.0004516237,0.00013527203,0.000047668032,0.0002767657,0.00027896013],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013594644,0.000017467322,4.576552e-7,0.00008690311,0.00003800596,0.000022405986,0.00012821589,0.0000010750978,0.000115588715,0.9986385,0.0005309419,0.0004068524],"study_design_scores_gemma":[0.00007968165,0.00009068322,3.6817107e-7,0.00012808167,0.000041583844,0.000021369555,0.000047776797,0.000007635248,0.002666433,0.9886877,0.007978204,0.00025045944],"about_ca_topic_score_codex":0.000004817519,"about_ca_topic_score_gemma":0.000005735712,"teacher_disagreement_score":0.052830197,"about_ca_system_score_codex":0.000035480647,"about_ca_system_score_gemma":0.00007296806,"threshold_uncertainty_score":0.98697007},"labels":[],"label_agreement":null},{"id":"W4388321578","doi":"10.1093/oso/9780198501657.003.0007","title":"Topological sequence spaces: Kand FK-spaces","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Metrization theorem; Mathematics; Locally convex topological vector space; Sequence (biology); Topological space; Banach space; Reflexive space; Topology (electrical circuits); Space (punctuation); Subject (documents); Net (polyhedron); Convergence (economics); Topological vector space; Pure mathematics; Bounded function; Sequence space; Discrete mathematics; Interpolation space; Functional analysis; Combinatorics; Mathematical analysis; Computer science; Geometry","score_opus":0.11217179582848355,"score_gpt":0.32508585819857916,"score_spread":0.2129140623700956,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4388321578","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0007153257,0.0003210607,0.0011875682,0.000980967,0.00013266223,0.00045220312,0.000047318226,0.00042721722,0.9957357],"genre_scores_gemma":[0.0069415,0.0005925321,0.011310131,0.00040775732,0.00026165723,0.000021616857,0.000027129076,0.0000727559,0.9803649],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99801636,0.000057907124,0.0004959732,0.0005910125,0.00046114213,0.000377624],"domain_scores_gemma":[0.9982637,0.0005255422,0.0003235397,0.0006385957,0.00008308783,0.00016554227],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004071068,0.0005663376,0.00072150264,0.00013277492,0.00019554769,0.00015719379,0.0004617658,0.0007564165,0.037139602],"category_scores_gemma":[0.00012168219,0.00041885173,0.00024823938,0.00003918804,0.0006027726,0.00020378147,0.00008355118,0.00056063,0.0012804533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000030093954,0.000016901706,0.0000022670808,0.00007685666,0.000058736194,0.000056917004,0.00030176013,0.0000022415759,0.000038240043,0.99419874,0.0039543523,0.0012629082],"study_design_scores_gemma":[0.00013019095,0.000088943954,2.560021e-7,0.0001469116,0.000065640845,0.00005518395,0.00014406777,0.000029400177,0.00023730952,0.86133146,0.13727899,0.0004916438],"about_ca_topic_score_codex":0.000017521183,"about_ca_topic_score_gemma":0.000045277513,"teacher_disagreement_score":0.13332464,"about_ca_system_score_codex":0.00007965546,"about_ca_system_score_gemma":0.00009147574,"threshold_uncertainty_score":0.9998263},"labels":[],"label_agreement":null},{"id":"W4389272648","doi":"10.1007/s00025-023-02067-2","title":"Approximation by Truncated Max-Product Sampling Kantorovich Operators in $$L^p$$ Spaces","year":2023,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Modulus of continuity; Equivalence (formal languages); Mathematical proof; Product (mathematics); Pure mathematics; Type (biology); Mathematical analysis; Discrete mathematics; Geometry","score_opus":0.07153642287787769,"score_gpt":0.3420210671314237,"score_spread":0.270484644253546,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4389272648","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98794454,0.000097253556,0.0033285301,0.0010663256,0.00018436015,0.0010675133,0.00008041544,0.0005028578,0.0057282173],"genre_scores_gemma":[0.932936,0.0001938435,0.063037686,0.000048463637,0.00010367339,0.00018964557,0.0002290277,0.00011291305,0.0031487362],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99701697,0.00020179036,0.0011993421,0.00051915576,0.00050590286,0.0005568513],"domain_scores_gemma":[0.9977467,0.0010709991,0.00037416955,0.0006395411,0.00008728102,0.00008129057],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0035794852,0.00032950522,0.000554727,0.0004960473,0.000115630675,0.00013135407,0.00041771424,0.00018214267,0.00003789291],"category_scores_gemma":[0.003948554,0.00029510882,0.000066665954,0.001785827,0.00010407289,0.00039079197,0.000099463236,0.00034277787,0.00016790829],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0004599926,0.002347485,0.0018168635,0.0055945036,0.00015231744,0.00011063939,0.11416817,0.005289327,0.04018025,0.80097467,0.02246473,0.0064410632],"study_design_scores_gemma":[0.0024529125,0.0000738117,0.00024190104,0.00097099185,0.000028528726,0.000016433032,0.014385543,0.0664356,0.020579416,0.89297605,0.0009787199,0.000860086],"about_ca_topic_score_codex":0.000032627562,"about_ca_topic_score_gemma":0.000073540046,"teacher_disagreement_score":0.09978263,"about_ca_system_score_codex":0.00016848459,"about_ca_system_score_gemma":0.00006595269,"threshold_uncertainty_score":0.9999501},"labels":[],"label_agreement":null},{"id":"W4390528645","doi":"10.48550/arxiv.2401.00322","title":"Ergodic properties of Kantorovich operators","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ergodic theory; Mathematics; Pure mathematics","score_opus":0.23900867582766888,"score_gpt":0.22828411394631865,"score_spread":0.010724561881350236,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390528645","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.98852247,0.000057579087,0.008775464,0.000057008398,0.0002968683,0.00037511325,0.000026774786,0.0002837545,0.0016049682],"genre_scores_gemma":[0.99135643,0.00012126778,0.00036111887,0.000013411034,0.000047561385,0.0000021288697,0.000008478479,0.000038509763,0.008051104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998709,0.00018015473,0.00027704614,0.0005082175,0.00010023223,0.00022530688],"domain_scores_gemma":[0.9986067,0.000115627976,0.00031436855,0.000694642,0.00018623192,0.00008242784],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004333992,0.00025823992,0.00043762167,0.0002068193,0.00010654525,0.000028089977,0.0006264456,0.0002915836,0.000094605086],"category_scores_gemma":[0.00024885742,0.00024713585,0.00018389167,0.00032485052,0.00025991513,0.00015701882,0.0005750749,0.00036604467,0.000102259306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010162089,0.00013288802,0.0013435193,0.0016603874,0.00023766146,0.000083639774,0.0021719418,0.013970661,0.0014351238,0.97825605,0.00057390775,0.00003258066],"study_design_scores_gemma":[0.00050117064,0.00007374928,0.000104485196,0.0010342272,0.0002928014,0.0000030439016,0.0038134702,0.022358507,0.020102987,0.95088685,0.000112266556,0.0007164189],"about_ca_topic_score_codex":0.00009913868,"about_ca_topic_score_gemma":0.000056411598,"teacher_disagreement_score":0.027369196,"about_ca_system_score_codex":0.00009814784,"about_ca_system_score_gemma":0.00019384219,"threshold_uncertainty_score":0.9999981},"labels":[],"label_agreement":null},{"id":"W4390578655","doi":"10.1016/j.jat.2023.106012","title":"Onesided, intertwining, positive and copositive polynomial approximation with interpolatory constraints","year":2024,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba","funders":"Institute of Molecular Biology and Genetics, National Academy of Sciences of Ukraine; Natural Sciences and Engineering Research Council of Canada; National Academy of Sciences of Ukraine; Johns Hopkins University","keywords":"Mathematics; Combinatorics; Monotone polygon; Polynomial; Degree (music); Function (biology); Smoothness; Monotonic function; Mathematical analysis; Geometry; Physics","score_opus":0.016112548528067806,"score_gpt":0.2840249876452646,"score_spread":0.2679124391171968,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390578655","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4988224,0.00057256187,0.49221373,0.000518652,0.00034120725,0.00047977932,0.000023824432,0.000115393894,0.006912459],"genre_scores_gemma":[0.97532904,0.000028008353,0.024054892,0.00012770636,0.00020607545,0.000010414932,0.0000070588303,0.000042371863,0.00019443584],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99787503,0.0004887809,0.0007607478,0.0002499412,0.00040410325,0.0002213752],"domain_scores_gemma":[0.9974003,0.0013275757,0.0006464703,0.00015953503,0.00033036934,0.00013577723],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025951348,0.00027538888,0.00043960902,0.00045253342,0.00013707716,0.00023834256,0.00018312647,0.00013846166,0.00016009653],"category_scores_gemma":[0.00040166112,0.00019924683,0.00012755395,0.00024273539,0.000630287,0.0012697487,0.000045052067,0.00047819252,0.000012673838],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0012209181,0.00012010027,0.000039810435,0.0003549428,0.0004452763,0.00008634107,0.023800017,0.000010562004,0.0038375347,0.93986845,0.0007250852,0.029490985],"study_design_scores_gemma":[0.0017515093,0.0013994331,0.00020515468,0.0032183332,0.00039923584,0.0035253046,0.028429091,0.006089207,0.036522076,0.9176123,0.0002271708,0.0006211509],"about_ca_topic_score_codex":0.0000013858897,"about_ca_topic_score_gemma":0.0000013262601,"teacher_disagreement_score":0.47650662,"about_ca_system_score_codex":0.00015145018,"about_ca_system_score_gemma":0.00019735862,"threshold_uncertainty_score":0.81250495},"labels":[],"label_agreement":null},{"id":"W4390856964","doi":"","title":"Extended Loney trigonometric series","year":2023,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Series (stratigraphy); Trigonometric series; Trigonometry; Mathematics; Pure mathematics; Geology; Mathematical analysis; Paleontology","score_opus":0.04925114553408043,"score_gpt":0.2819947036175965,"score_spread":0.23274355808351604,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4390856964","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25045288,0.0015815996,0.60905564,0.028169923,0.0010857075,0.0019577183,0.00033790362,0.0030414287,0.10431717],"genre_scores_gemma":[0.6078739,0.001129423,0.2435348,0.00008734296,0.00008223708,0.00038668176,0.00072757306,0.00020316511,0.14597486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9930703,0.0045343093,0.00071058597,0.00079058023,0.0004897312,0.0004044674],"domain_scores_gemma":[0.9919828,0.00330407,0.00076018093,0.002315409,0.0014523335,0.00018517916],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.008358756,0.00040643383,0.0005585888,0.0004982211,0.00040163775,0.00041365734,0.0013119663,0.00039490516,0.00042208316],"category_scores_gemma":[0.007069572,0.00041557982,0.00028706715,0.00085193507,0.00032604576,0.00024153198,0.001251448,0.0007398219,0.00025616153],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021062742,0.0004029915,0.00014536698,0.0005165771,0.00010502465,0.000009792304,0.0088652065,0.000021932936,0.00073109573,0.9779109,0.003014309,0.008255762],"study_design_scores_gemma":[0.00041234912,5.516094e-7,0.00063305366,0.0013739315,0.0000877264,0.000014799433,0.00066312373,0.0025418983,0.0565385,0.9331323,0.003945919,0.0006558745],"about_ca_topic_score_codex":0.00015475722,"about_ca_topic_score_gemma":0.00031016784,"teacher_disagreement_score":0.36552086,"about_ca_system_score_codex":0.00013439826,"about_ca_system_score_gemma":0.0002716933,"threshold_uncertainty_score":0.9998296},"labels":[],"label_agreement":null},{"id":"W4393170176","doi":"10.3934/math.2024558","title":"Classes of completely monotone and Bernstein functions defined by convexity properties of their spectral measures","year":2024,"lang":"en","type":"article","venue":"AIMS Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Convexity; Monotone polygon; Mathematics; Spectral properties; Pure mathematics; Monotonic function; Applied mathematics; Mathematical analysis; Physics; Economics; Geometry","score_opus":0.08825573332132798,"score_gpt":0.277512260818336,"score_spread":0.18925652749700805,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4393170176","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95875734,0.0013623683,0.036748033,0.0002908088,0.000073298586,0.0003805003,0.00009657475,0.00013203014,0.0021590642],"genre_scores_gemma":[0.98822623,0.00007168096,0.010952099,0.000011106612,0.00001992949,0.000024530715,0.0000053449817,0.000028236735,0.0006608273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99881154,0.00006851619,0.0005387543,0.00017249346,0.00024618744,0.00016253421],"domain_scores_gemma":[0.99882764,0.00053737947,0.00020270185,0.0002740824,0.00011006693,0.000048114973],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051238155,0.00019012469,0.00044962444,0.00008392626,0.00007036863,0.00004007803,0.00013971842,0.00008346541,0.00005982823],"category_scores_gemma":[0.00029216785,0.00013332577,0.00009478759,0.00017101971,0.00040903452,0.00016590825,0.00004732102,0.0001304576,0.000008347859],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028090666,0.00038668344,0.00007426973,0.0043388503,0.0002614123,0.0000015456021,0.011926556,0.00000495848,0.15838623,0.8222413,0.0017053582,0.00064477173],"study_design_scores_gemma":[0.00019112825,0.0001454265,0.000012873367,0.0006510018,0.00012440312,0.000025962428,0.0059524286,0.0055252356,0.28464243,0.70222914,0.00030430563,0.00019568537],"about_ca_topic_score_codex":0.000014413761,"about_ca_topic_score_gemma":0.000012660594,"teacher_disagreement_score":0.1262562,"about_ca_system_score_codex":0.00001863013,"about_ca_system_score_gemma":0.000049710383,"threshold_uncertainty_score":0.54368675},"labels":[],"label_agreement":null},{"id":"W4394948693","doi":"10.1090/tran/9190","title":"Effective approximation to complex algebraic numbers by algebraic numbers of bounded degree","year":2024,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Degree (music); Algebraic number; Bounded function; Mathematics; Real algebraic geometry; Algebraic extension; Algebraic surface; Discrete mathematics; Mathematical analysis; Physics","score_opus":0.030913432173392142,"score_gpt":0.31507448782513514,"score_spread":0.284161055651743,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4394948693","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.29651693,0.000028276101,0.6979591,0.0013162078,0.00007452641,0.0011177878,0.00012740091,0.00018734531,0.0026723898],"genre_scores_gemma":[0.9218902,0.000009591093,0.07711267,0.00017436234,0.000020206591,0.00015898234,0.0000059468916,0.000050309325,0.0005777228],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99788,0.00024194198,0.00066024327,0.00033596132,0.0005621518,0.0003197467],"domain_scores_gemma":[0.9972979,0.0015716404,0.00033310038,0.00056343887,0.00010764024,0.00012632058],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00076768885,0.00028492435,0.0006631512,0.000057738394,0.00021378878,0.000048754595,0.0004796233,0.00008810253,0.0004430872],"category_scores_gemma":[0.00019819214,0.00020844134,0.00072589505,0.0011653702,0.0011665008,0.00021010962,0.000030791838,0.00031209816,0.000039961214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002166395,0.001705282,0.000052344676,0.0061022798,0.0023769734,0.000001344402,0.06335375,0.00030066853,0.094569266,0.78449744,0.021513183,0.02531084],"study_design_scores_gemma":[0.0003710535,0.00025427833,0.00011468797,0.00045303107,0.00048249116,0.000024414785,0.0103839245,0.011831905,0.039019987,0.9363497,0.00028368886,0.00043083727],"about_ca_topic_score_codex":0.000071919814,"about_ca_topic_score_gemma":0.000007664041,"teacher_disagreement_score":0.62537324,"about_ca_system_score_codex":0.00015575274,"about_ca_system_score_gemma":0.000068939175,"threshold_uncertainty_score":0.8499991},"labels":[],"label_agreement":null},{"id":"W4396221595","doi":"10.3390/math12091333","title":"µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces","year":2024,"lang":"en","type":"article","venue":"Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Saskatchewan Polytechnic","funders":"","keywords":"Integrable system; Convergence (economics); Mathematics; Pure mathematics; Weak convergence; Algebra over a field; Computer science; Economics","score_opus":0.08965883101724373,"score_gpt":0.3062984987775,"score_spread":0.21663966776025625,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4396221595","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9101401,0.00066617713,0.07233246,0.0005505024,0.00019032015,0.0008285723,0.000046481662,0.00020805851,0.015037316],"genre_scores_gemma":[0.956725,0.000048682938,0.04182458,0.000006417869,0.000015004641,0.000058670834,0.0000027381368,0.000018125485,0.0013007984],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885356,0.000083616396,0.0004580075,0.00020314586,0.00022728111,0.00017435549],"domain_scores_gemma":[0.99873465,0.00078188896,0.0001034937,0.00026433912,0.00006924892,0.000046354813],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00107132,0.00015035825,0.00033118256,0.00011387055,0.00005565243,0.000053724754,0.00012238603,0.00007161673,0.00025386433],"category_scores_gemma":[0.0006363753,0.00011644096,0.000058743663,0.00029888572,0.000311396,0.00017189962,0.000038190814,0.00015225794,0.000024117135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000009554909,0.00012795173,0.00041760964,0.00232929,0.000033156008,0.0000023014939,0.0048126034,0.000018264165,0.0026748532,0.98883075,0.00034783117,0.00039582432],"study_design_scores_gemma":[0.00012072228,0.00003933781,0.00003695618,0.00042433187,0.000036792644,0.0000157834,0.0038537171,0.011390548,0.0029109707,0.9805888,0.00044995625,0.00013207369],"about_ca_topic_score_codex":0.000015068342,"about_ca_topic_score_gemma":0.00008124841,"teacher_disagreement_score":0.046584867,"about_ca_system_score_codex":0.000033280812,"about_ca_system_score_gemma":0.000053698837,"threshold_uncertainty_score":0.47483248},"labels":[],"label_agreement":null},{"id":"W4400735248","doi":"10.1016/j.aej.2024.07.015","title":"Approximation by a new Stancu variant of generalized <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.svg\" display=\"inline\" id=\"d1e1054\"><mml:mrow><mml:mo>(</mml:mo><mml:mi>λ</mml:mi><mml:mo>,</mml:mo><mml:mi>μ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math>-Bernstein operators","year":2024,"lang":"lv","type":"article","venue":"Alexandria Engineering Journal","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"Quanzhou Normal University; Natural Science Foundation of Fujian Province","keywords":"Mathematics; Combinatorics; Discrete mathematics; Statistics; Applied mathematics","score_opus":0.016353137621976446,"score_gpt":0.23999032630501058,"score_spread":0.22363718868303412,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400735248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9229344,0.004608523,0.04933069,0.0008764563,0.004485707,0.00018809827,0.000655879,0.0005720088,0.016348207],"genre_scores_gemma":[0.97212654,0.002211355,0.018934825,0.0005695986,0.0032712303,0.0006602415,0.00069225195,0.0010257752,0.0005081945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","domain_scores_codex":[0.98887783,0.0005638999,0.0032021534,0.0018151599,0.0029921555,0.0025488052],"domain_scores_gemma":[0.9924125,0.0016708839,0.0024039792,0.0016706366,0.00034282779,0.0014991876],"candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"category_scores_codex":[0.0036995353,0.0013973535,0.0007791685,0.0008309592,0.0015497137,0.0025692496,0.0021932598,0.0023966366,0.015447778],"category_scores_gemma":[0.0021927017,0.0021496776,0.0019273363,0.0015104691,0.0009093485,0.002484681,0.0011365961,0.002804737,0.001147097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00093531073,0.00038777146,0.000004475118,0.0028043245,0.0026096366,0.0011058942,0.0050343405,0.015516265,0.016009385,0.91188574,0.041965496,0.0017413525],"study_design_scores_gemma":[0.00272789,0.0013804107,0.000010217965,0.0035453215,0.0021426727,0.003949338,0.0022046892,0.5166783,0.4559377,0.005719753,0.003730231,0.001973497],"about_ca_topic_score_codex":0.0006493455,"about_ca_topic_score_gemma":0.00021142636,"teacher_disagreement_score":0.906166,"about_ca_system_score_codex":0.0000767595,"about_ca_system_score_gemma":0.0017791031,"threshold_uncertainty_score":0.9998777},"labels":[],"label_agreement":null},{"id":"W4400821835","doi":"10.28924/2291-8639-22-2024-115","title":"Statistical Convergence with Rough I3-Lacunary and Wijsman Rough I3-Statistical Convergence in 2-Normed Spaces","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Lacunary function; Mathematics; Limit (mathematics); Limit of a sequence; Convergence (economics); Sequence (biology); Rough set; Normed vector space; Limit point; Discrete mathematics; Combinatorics; Pure mathematics; Mathematical analysis; Computer science; Data mining","score_opus":0.01689944237765551,"score_gpt":0.33934419754957446,"score_spread":0.32244475517191895,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4400821835","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2280154,0.00040104866,0.7686051,0.0021119958,0.000065876426,0.00016184819,0.00013646674,0.000019933885,0.00048232844],"genre_scores_gemma":[0.97479135,0.0005102774,0.02426451,0.00006970047,0.00010674405,0.000029323479,0.000029936773,0.000010744477,0.00018743973],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984936,0.00009020273,0.00057410874,0.00025413564,0.00044661146,0.00014135435],"domain_scores_gemma":[0.9983333,0.000930214,0.00023457606,0.000119969554,0.00025752524,0.00012443037],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005644848,0.00015104719,0.00033062024,0.00035715164,0.000073349176,0.00019762543,0.00022520864,0.000059708847,0.0003562221],"category_scores_gemma":[0.00013659557,0.00011409505,0.00006566082,0.0004935945,0.00030618862,0.00036672145,0.000047075213,0.00024805224,0.0000077817895],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009773373,0.00014215583,0.014361902,0.00006502861,0.0010062992,0.00011609132,0.0009932091,0.0002590115,0.00020585941,0.9784842,0.0004263058,0.0038422015],"study_design_scores_gemma":[0.0009870126,0.00028085933,0.03133593,0.00031922857,0.0018879374,0.0005941914,0.0032775938,0.05613592,0.0007004626,0.8976005,0.0062832083,0.00059715664],"about_ca_topic_score_codex":0.00006171873,"about_ca_topic_score_gemma":0.00013179709,"teacher_disagreement_score":0.7467759,"about_ca_system_score_codex":0.000050800165,"about_ca_system_score_gemma":0.00008893112,"threshold_uncertainty_score":0.4652661},"labels":[],"label_agreement":null},{"id":"W4401100212","doi":"10.2298/fil2401099s","title":"A study of the q-analogue of the paranormed Cesàro sequence spaces","year":2024,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Sequence (biology); Pure mathematics; Combinatorics; Genetics","score_opus":0.10189894838499526,"score_gpt":0.3493260381049727,"score_spread":0.24742708971997746,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4401100212","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9958022,0.00007302288,0.00009365483,0.0005857143,0.00022527023,0.000506127,0.000032544936,0.00004403638,0.0026374042],"genre_scores_gemma":[0.99841416,0.0000030882566,0.00031232915,0.000022843828,0.000022291424,0.000026768992,6.242807e-7,0.000011006258,0.0011869101],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99889886,0.00022640447,0.00029167696,0.00014228246,0.0003258021,0.00011496783],"domain_scores_gemma":[0.99882275,0.00041091355,0.00017514096,0.00052563206,0.00004816848,0.000017394284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004426632,0.00010579065,0.00019585378,0.000034334655,0.000092528906,0.000026259742,0.0004651891,0.00004284913,0.00012997542],"category_scores_gemma":[0.00029367846,0.000050052302,0.0001143567,0.00039482562,0.00019412424,0.00010104806,0.000111322035,0.00012427002,0.000011001648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004264494,0.00056142284,0.0066398545,0.0012107275,0.00036359366,0.000014087635,0.06699105,0.00014220778,0.011876004,0.907705,0.003818363,0.0006350027],"study_design_scores_gemma":[0.00059254025,0.00029803903,0.0063125845,0.00089501875,0.00039610258,0.000056470148,0.028213084,0.0017894573,0.079070434,0.880993,0.0010501237,0.0003331417],"about_ca_topic_score_codex":0.000033537952,"about_ca_topic_score_gemma":0.0001008762,"teacher_disagreement_score":0.06719443,"about_ca_system_score_codex":0.000017262875,"about_ca_system_score_gemma":0.00006159405,"threshold_uncertainty_score":0.20410736},"labels":[],"label_agreement":null},{"id":"W4402695758","doi":"10.1016/j.jat.2024.106101","title":"On Bernstein- and Marcinkiewicz-type inequalities on multivariate <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e53\" altimg=\"si7.svg\"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:msup></mml:math>-domains","year":2024,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Manitoba; University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; Nemzeti Kutatási Fejlesztési és Innovációs Hivatal; Hungarian Scientific Research Fund","keywords":"Mathematics; Multivariate statistics; Type (biology); Combinatorics; Scalable Vector Graphics; Discrete mathematics; Statistics; Computer science; World Wide Web","score_opus":0.025264390086514855,"score_gpt":0.2688758590410248,"score_spread":0.24361146895450994,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4402695758","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.72552043,0.0012835547,0.005970524,0.0012236198,0.0024382947,0.00007458737,0.00024851403,0.0001814649,0.26305902],"genre_scores_gemma":[0.98812425,0.001092171,0.0058496455,0.0011293289,0.0018555779,0.00030826387,0.0004325944,0.0005276131,0.0006805358],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","domain_scores_codex":[0.99178064,0.0010248369,0.0023061668,0.0011085861,0.0023496067,0.001430193],"domain_scores_gemma":[0.9906173,0.004096127,0.0027938671,0.0014832716,0.00026318594,0.0007462644],"candidate_categories":["metaepi_narrow","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.004901758,0.0008032482,0.00044611012,0.0007124167,0.0012272259,0.0015591857,0.0013569279,0.0016374888,0.103879645],"category_scores_gemma":[0.0035572902,0.0012354057,0.0012501167,0.0008359613,0.0013426996,0.0019829157,0.0008268782,0.0019628522,0.0014143016],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0028150014,0.0004092691,0.0000031352768,0.0029318486,0.0015482379,0.0009180322,0.0101967715,0.0014363157,0.0017276225,0.9440718,0.031496152,0.0024457742],"study_design_scores_gemma":[0.0026848773,0.0035249302,0.00004280852,0.0045505287,0.0020403767,0.0025408755,0.012160224,0.24130152,0.6988249,0.028973043,0.0016864043,0.0016694992],"about_ca_topic_score_codex":0.00017886645,"about_ca_topic_score_gemma":0.00011125395,"teacher_disagreement_score":0.9150988,"about_ca_system_score_codex":0.000033657383,"about_ca_system_score_gemma":0.0011981787,"threshold_uncertainty_score":0.9996586},"labels":[],"label_agreement":null},{"id":"W4403074069","doi":"10.28924/2291-8639-22-2024-177","title":"Orlicz Extension of New Sequence Spaces Engendered by the Composition of Binomial Matrix and Double Band Matrix","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"University of Jeddah","keywords":"Mathematics; Extension (predicate logic); Composition (language); Matrix (chemical analysis); Binomial (polynomial); Sequence (biology); Pure mathematics; Binomial coefficient; Combinatorics; Linguistics; Statistics; Computer science","score_opus":0.04093400335657641,"score_gpt":0.3729269486383818,"score_spread":0.3319929452818054,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403074069","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81815714,0.0028373364,0.17566203,0.002878959,0.00005116388,0.00015974083,0.00007653766,0.0000099846375,0.00016710596],"genre_scores_gemma":[0.9951393,0.0005732126,0.0038083233,0.0000108670565,0.000099599485,0.000004499346,0.000013654422,0.000005239581,0.00034532772],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990396,0.00003825989,0.00047050984,0.00011137338,0.00028599784,0.00005425477],"domain_scores_gemma":[0.9988607,0.00026657173,0.00043418191,0.00010799411,0.00028323423,0.00004727503],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004573541,0.00007975377,0.0002240344,0.00023982728,0.000056440324,0.000084335086,0.00018177737,0.00003954286,0.000052860763],"category_scores_gemma":[0.000018687855,0.00005315066,0.00012823712,0.000313716,0.00012322255,0.00018296103,0.000027416438,0.00009582988,7.6252263e-7],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024067186,0.00018040773,0.0009952195,0.00013087096,0.0028333734,0.000004797913,0.0025080484,0.0005938587,0.34221214,0.6392774,0.0022830397,0.008740151],"study_design_scores_gemma":[0.002713233,0.00031480353,0.0019798775,0.000552842,0.006295867,0.0005848987,0.005591359,0.023955384,0.2637963,0.68273556,0.010916774,0.0005630999],"about_ca_topic_score_codex":0.00005526695,"about_ca_topic_score_gemma":0.000008816277,"teacher_disagreement_score":0.17698213,"about_ca_system_score_codex":0.000019835114,"about_ca_system_score_gemma":0.00004985788,"threshold_uncertainty_score":0.2167421},"labels":[],"label_agreement":null},{"id":"W4403428891","doi":"10.28924/2291-8639-22-2024-181","title":"Applications of Strongly Deferred Weighted Convergence in the Environment of Uncertainty","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"University of Jeddah; Council of Scientific and Industrial Research, India","keywords":"Mathematics; Convergence (economics); Calculus (dental); Applied mathematics; Econometrics; Statistics","score_opus":0.0179796707628865,"score_gpt":0.3152704783130236,"score_spread":0.29729080755013715,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4403428891","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23568518,0.0007015841,0.76150745,0.001104484,0.00002425096,0.00026107376,0.00007153381,0.0000056217214,0.0006388004],"genre_scores_gemma":[0.99643046,0.00029811912,0.003109543,0.000011801788,0.00004209016,0.00004811917,0.0000106950965,0.000003321102,0.000045826273],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99888533,0.000060334496,0.0005735742,0.00009420217,0.00033469615,0.000051856347],"domain_scores_gemma":[0.99892074,0.0004101243,0.00037238724,0.00014421585,0.00012910053,0.000023453518],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063479354,0.00006476583,0.00018888616,0.0003327872,0.000026331922,0.000023852774,0.00034271955,0.000029280915,0.00009908155],"category_scores_gemma":[0.000021286814,0.000043539658,0.00015612223,0.00048070992,0.0001234574,0.000093937975,0.000022084943,0.00010042241,0.0000016390552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002226241,0.00032249346,0.0033191615,0.000049181075,0.0013456184,0.0000023811124,0.0017684187,0.0014660353,0.0021720086,0.9770974,0.00007343542,0.01236164],"study_design_scores_gemma":[0.00056630577,0.00011295251,0.0054326267,0.00014573922,0.0020909754,0.00004437801,0.007789769,0.032868136,0.005933341,0.92747915,0.017289236,0.00024737738],"about_ca_topic_score_codex":0.000015240353,"about_ca_topic_score_gemma":0.000014290351,"teacher_disagreement_score":0.7607453,"about_ca_system_score_codex":0.000027082551,"about_ca_system_score_gemma":0.000036914702,"threshold_uncertainty_score":0.17754957},"labels":[],"label_agreement":null},{"id":"W4404083528","doi":"10.29169/1927-5129.2024.20.12","title":"Some Results on Neutrosophic I-Statistically Convergence","year":2024,"lang":"en","type":"article","venue":"Journal of Basic & Applied Sciences","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Convergence (economics); Mathematics; Econometrics; Economics","score_opus":0.06636087537407528,"score_gpt":0.3405570262176923,"score_spread":0.27419615084361704,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404083528","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.87477505,0.0009652466,0.0329367,0.016685458,0.0036594323,0.00055293145,0.0000630876,0.00021920686,0.07014288],"genre_scores_gemma":[0.9869363,0.00005555397,0.011968281,0.0002824616,0.0004213417,0.0000033061485,3.5974801e-7,0.000008490731,0.00032393006],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982183,0.00006307495,0.00058447995,0.00021893636,0.00069683883,0.0002183552],"domain_scores_gemma":[0.9980824,0.0013196688,0.00028925814,0.00013145611,0.00007058544,0.000106635765],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028284336,0.00012884593,0.0002443858,0.00019832654,0.00018826143,0.00017517392,0.00041862408,0.000051302424,0.00009519799],"category_scores_gemma":[0.00045077343,0.00008497834,0.00008072481,0.00039790638,0.0005008186,0.00035088768,0.000025512358,0.00029283643,0.000099600824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007813677,0.000038412738,0.0000023293155,0.000045919704,0.000014708952,0.000041901487,0.0006774729,0.00010302277,0.0047411798,0.98977757,0.0030889288,0.0013904449],"study_design_scores_gemma":[0.00019051095,0.00031932665,0.000032010354,0.00015213025,0.000025058505,0.00005421129,0.00054382713,0.0011653317,0.007525431,0.98900706,0.00087053323,0.000114595205],"about_ca_topic_score_codex":5.559975e-7,"about_ca_topic_score_gemma":6.2716737e-7,"teacher_disagreement_score":0.11216122,"about_ca_system_score_codex":0.000038084338,"about_ca_system_score_gemma":0.00023900409,"threshold_uncertainty_score":0.34653163},"labels":[],"label_agreement":null},{"id":"W4404166821","doi":"10.1109/cdc56724.2024.10886079","title":"A vector almost-supermartingale convergence theorem and its applications","year":2024,"lang":"en","type":"article","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"McGill University; Mila - Quebec Artificial Intelligence Institute; Group for Research in Decision Analysis; HEC Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Convergence (economics); Applied mathematics; Computer science; Mathematics","score_opus":0.03896813080991007,"score_gpt":0.3230991195441186,"score_spread":0.2841309887342085,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404166821","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6516188,0.0039574653,0.19944717,0.0055540428,0.00034422826,0.0019311741,0.00006054075,0.0019485108,0.1351381],"genre_scores_gemma":[0.98956203,0.000042788255,0.0033749857,0.000089377994,0.000057550325,0.00012227116,0.0000024631586,0.000012616543,0.0067359116],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945474,0.00003368688,0.00014003247,0.00017181967,0.00008674177,0.000113011774],"domain_scores_gemma":[0.99937063,0.00040226174,0.000019743717,0.00012284527,0.00003299868,0.000051538864],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00029218596,0.00008048344,0.00008428114,0.00003195906,0.000094277755,0.00005672561,0.000079141515,0.000038419097,0.0010521113],"category_scores_gemma":[0.00011756857,0.000061230545,0.000026637554,0.00014100345,0.000055644978,0.00017645201,0.000029930321,0.00007490411,0.00025268522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000018858653,0.000011135216,0.000014718286,0.0001363602,0.00001092828,0.000001660367,0.00094088103,2.5843767e-7,0.006592625,0.99079245,0.0005617351,0.0009353756],"study_design_scores_gemma":[0.0000561134,0.000017976603,0.0000132414425,0.000043102522,0.00002326144,0.000029818593,0.00087043113,0.011267462,0.028100196,0.94949144,0.009939598,0.00014737945],"about_ca_topic_score_codex":0.0000011031362,"about_ca_topic_score_gemma":0.000001783467,"teacher_disagreement_score":0.33794326,"about_ca_system_score_codex":0.000009707324,"about_ca_system_score_gemma":0.000023269793,"threshold_uncertainty_score":0.99986106},"labels":[],"label_agreement":null},{"id":"W4404245129","doi":"10.28924/2291-8639-22-2024-204","title":"On the Non-Linearity of S-Type Variable Exponent Absolutely Summable New Difference Sequence Space","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"University of Jeddah","keywords":"Mathematics; Sequence (biology); Type (biology); Linearity; Exponent; Space (punctuation); Pure mathematics; Sequence space; Mathematical analysis; Discrete mathematics; Linguistics; Banach space; Physics","score_opus":0.05670308526878918,"score_gpt":0.34896069346266995,"score_spread":0.29225760819388075,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4404245129","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22612858,0.00026178453,0.76705897,0.0045398786,0.00013748143,0.0001479753,0.00003256666,0.000014567722,0.0016781816],"genre_scores_gemma":[0.98851967,0.00021973574,0.009035732,0.00007326304,0.00014392917,0.0000070676997,0.000005466385,0.000005949442,0.0019892077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990298,0.000038567094,0.00038331092,0.00011808119,0.00035673252,0.000073511335],"domain_scores_gemma":[0.9983995,0.0007260916,0.00029004444,0.00016522541,0.00036247366,0.000056686826],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005763398,0.000084665204,0.00019571104,0.00020550318,0.00006495026,0.00010266175,0.0003386944,0.000035497334,0.00021277831],"category_scores_gemma":[0.00016653749,0.000053601612,0.00012936068,0.00054687366,0.00007561129,0.000114855255,0.000036400575,0.00016355449,0.0000066109633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026393729,0.0000763568,0.0001502774,0.000017494174,0.0008679668,0.0000025489312,0.0003140449,0.00079092634,0.005674235,0.9896633,0.0011091267,0.0013073158],"study_design_scores_gemma":[0.00013744876,0.00007138943,0.00041025024,0.00015566239,0.0006183057,0.000022338725,0.00030694768,0.029093193,0.005469145,0.95982045,0.003781298,0.00011359329],"about_ca_topic_score_codex":0.000069612026,"about_ca_topic_score_gemma":0.000010075424,"teacher_disagreement_score":0.7623911,"about_ca_system_score_codex":0.00003486225,"about_ca_system_score_gemma":0.00011975124,"threshold_uncertainty_score":0.23297732},"labels":[],"label_agreement":null},{"id":"W4408536474","doi":"10.1007/s40995-025-01793-2","title":"A New Class of Korovkin-Type Theorems on Double Sequences","year":2025,"lang":"en","type":"article","venue":"Iranian Journal of Science","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Class (philosophy); Type (biology); Mathematics; Computer science; Artificial intelligence; Biology","score_opus":0.04897405784701993,"score_gpt":0.3509640485317405,"score_spread":0.3019899906847206,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4408536474","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.92158,0.00015553004,0.013038589,0.0015422683,0.00079245516,0.00014108153,0.0000011235461,0.000016721233,0.06273219],"genre_scores_gemma":[0.98402226,0.000018585511,0.0143973185,0.00011655758,0.00004819807,2.4526588e-7,3.313477e-8,0.0000037570674,0.0013930307],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986885,0.00004797943,0.00043238318,0.00012592801,0.00052802975,0.00017716723],"domain_scores_gemma":[0.9986326,0.00023602734,0.00046403598,0.00020115067,0.00036554184,0.00010065065],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021306966,0.00009309996,0.0002350598,0.00031576303,0.00014776093,0.000058608246,0.0007560155,0.000039025766,0.00017080762],"category_scores_gemma":[0.0005478101,0.000064691296,0.0000715892,0.001045025,0.000907751,0.0004550458,0.00003226358,0.00017211902,0.000007056067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002272039,0.000044867298,0.00020398073,0.0000472293,0.00001490973,0.000009494849,0.0019796826,0.000090224166,0.033787217,0.9599542,0.00081895647,0.0028220478],"study_design_scores_gemma":[0.0005622772,0.00030760426,0.00014401875,0.0003972296,0.000021819493,0.00004521488,0.0017184379,0.000104643674,0.12786405,0.8682199,0.0005316665,0.00008314834],"about_ca_topic_score_codex":0.0000054782395,"about_ca_topic_score_gemma":0.000002169721,"teacher_disagreement_score":0.09407683,"about_ca_system_score_codex":0.000054207612,"about_ca_system_score_gemma":0.0008089962,"threshold_uncertainty_score":0.33446464},"labels":[],"label_agreement":null},{"id":"W4409373372","doi":"10.3390/a18040218","title":"Korovkin-Type Theorems for Positive Linear Operators Based on the Statistical Derivative of Deferred Cesàro Summability","year":2025,"lang":"en","type":"article","venue":"Algorithms","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Linear operators; Mathematics; Derivative (finance); Type (biology); Pure mathematics; Operator theory; Applied mathematics; Discrete mathematics; Mathematical analysis; Business","score_opus":0.047990789696757574,"score_gpt":0.3589261506953947,"score_spread":0.3109353609986371,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409373372","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10292367,0.000025379735,0.8879133,0.001957892,0.00024938118,0.0015866476,0.00045555178,0.000070070826,0.0048181],"genre_scores_gemma":[0.92565924,0.0000019541922,0.07357009,0.00036649563,0.000034396453,0.00007641355,0.00004006819,0.000015802738,0.00023551109],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987745,0.00030858943,0.00030806643,0.0002382851,0.00018443327,0.00018611517],"domain_scores_gemma":[0.9936254,0.00555552,0.00011470699,0.00033707498,0.00033060228,0.000036709633],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009897596,0.00015802722,0.00027403884,0.000053267,0.00017879583,0.00002184065,0.0002247602,0.00008283317,0.000115643976],"category_scores_gemma":[0.0030082234,0.000101221194,0.00007681389,0.0002706739,0.00044389637,0.000059455124,0.00003279868,0.00014030398,0.000005223361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029945833,0.0001955578,0.00008403117,0.00009242001,0.000069207206,0.0000012635206,0.000853373,0.000092856,0.00030601386,0.99582905,0.00049109006,0.0016856837],"study_design_scores_gemma":[0.0005507558,0.00035944572,0.00021517371,0.000101589096,0.00006337121,5.658003e-7,0.0015667928,0.08212233,0.05028031,0.8644052,0.0001802544,0.00015417811],"about_ca_topic_score_codex":0.000012139022,"about_ca_topic_score_gemma":0.0000035700125,"teacher_disagreement_score":0.8227356,"about_ca_system_score_codex":0.00004743673,"about_ca_system_score_gemma":0.00014405925,"threshold_uncertainty_score":0.41276804},"labels":[],"label_agreement":null},{"id":"W4409401248","doi":"10.4153/s000843952500044x","title":"A characterization of numerical ranges for antilinear operators","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Characterization (materials science); Pure mathematics; Nanotechnology","score_opus":0.02124937971545111,"score_gpt":0.28703141337433563,"score_spread":0.26578203365888453,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409401248","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.588512,0.000024640342,0.38523623,0.011269799,0.00013126447,0.0014151756,0.00014768633,0.00009078893,0.013172383],"genre_scores_gemma":[0.97178924,0.0000044635017,0.022226747,0.0006674726,0.000044113713,0.00013282342,0.000029730201,0.00002490335,0.0050805123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990781,0.000057665005,0.00036594033,0.00016650764,0.000097091484,0.0002347301],"domain_scores_gemma":[0.9989881,0.00042956774,0.00008492798,0.00022285593,0.00012939028,0.00014518636],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00044733155,0.00012516031,0.000318582,0.00014775008,0.00009836756,0.000026985119,0.0001751564,0.00010848445,0.0023869544],"category_scores_gemma":[0.001377611,0.00011008001,0.000086443244,0.00018897041,0.00009899124,0.000030891246,0.000014470275,0.00007304106,0.00017813509],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001597845,0.000050817565,0.000026843432,0.00052167865,0.000029533465,0.0000011859051,0.00032644474,7.174326e-7,0.0038144938,0.9922819,0.002456039,0.00047437675],"study_design_scores_gemma":[0.00073162105,0.000080425016,0.000081436716,0.0004190748,0.00009994068,0.0000057300917,0.0005358707,0.0037742634,0.04947802,0.8784918,0.065971196,0.00033063148],"about_ca_topic_score_codex":0.000042526906,"about_ca_topic_score_gemma":0.00003879876,"teacher_disagreement_score":0.3832772,"about_ca_system_score_codex":0.000049708633,"about_ca_system_score_gemma":0.00017601727,"threshold_uncertainty_score":0.998525},"labels":[],"label_agreement":null},{"id":"W4409823548","doi":"10.2298/fil2415499y","title":"Fractional approximation by Bernstein operators","year":2024,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"St. Francis Xavier University","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Bernstein polynomial; Pure mathematics; Applied mathematics; Mathematical analysis","score_opus":0.027964944714401096,"score_gpt":0.3084703046324624,"score_spread":0.2805053599180613,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4409823548","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.70350796,0.0008514632,0.20730482,0.004030026,0.0014144896,0.0008388669,0.00024157831,0.0019411542,0.07986965],"genre_scores_gemma":[0.97656155,0.000014847799,0.011728948,0.00015999706,0.00021131287,0.000086210464,0.0001181106,0.0000399794,0.011079039],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991884,0.000055344128,0.00019722537,0.00019749886,0.00022360597,0.00013791959],"domain_scores_gemma":[0.99951077,0.00021898569,0.000039070343,0.0001519732,0.00003086482,0.00004836731],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00030034882,0.000115696355,0.000113470174,0.0000629895,0.00010753817,0.0001355712,0.00010058621,0.000080402366,0.0022629325],"category_scores_gemma":[0.00011728494,0.0000967292,0.000055275017,0.00016500907,0.000042956548,0.00045056656,0.000020508833,0.00012892064,0.00068110466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007803719,0.00004613151,0.00002555775,0.00018208819,0.00003728902,0.000006585111,0.00091277855,0.0000071471627,0.004947273,0.879703,0.11197954,0.0021448208],"study_design_scores_gemma":[0.00019039381,0.000046724384,0.000024200912,0.00014095585,0.00003554066,0.00005077485,0.0005230301,0.015390069,0.027724154,0.86006415,0.09547681,0.0003332062],"about_ca_topic_score_codex":0.0000034932764,"about_ca_topic_score_gemma":0.0000010331787,"teacher_disagreement_score":0.27305362,"about_ca_system_score_codex":0.000051631836,"about_ca_system_score_gemma":0.000032224903,"threshold_uncertainty_score":0.9986491},"labels":[],"label_agreement":null},{"id":"W4410284279","doi":"10.1016/j.aim.2025.110337","title":"Corrigendum to “Cauchy convergence in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"><mml:mi mathvariant=\"script\">V</mml:mi></mml:math>-normed categories” [Adv. Math. 470 (2025) 110247]","year":2025,"lang":"en","type":"erratum","venue":"Advances in Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Cauchy distribution; Scalable Vector Graphics; Convergence (economics); Algebra over a field; Mathematics education; Pure mathematics; Computer science; Statistics; World Wide Web","score_opus":0.026491805577183596,"score_gpt":0.28500590043293683,"score_spread":0.2585140948557532,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4410284279","genre_codex":"empirical","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.459992,0.011909926,0.08924206,0.0024697026,0.08404905,0.0036187398,0.0018496041,0.002344404,0.3445245],"genre_scores_gemma":[0.18801571,0.032362998,0.42790422,0.0059239394,0.0061211563,0.011355264,0.0037799282,0.0029752317,0.32156155],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9928107,0.0002641638,0.0024725073,0.0013815484,0.0015273023,0.0015437751],"domain_scores_gemma":[0.99410725,0.001243635,0.0018723444,0.0021806317,0.00022699438,0.0003691501],"candidate_categories":["metaepi_narrow","research_integrity","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0022099665,0.0011907091,0.0012783963,0.000673191,0.00050246704,0.0003935343,0.0020773427,0.0016041559,0.0004810494],"category_scores_gemma":[0.0031045196,0.0013574071,0.0005456809,0.0013954412,0.0006343797,0.0012134493,0.000938671,0.0020523837,0.0014391697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001278052,0.00041912313,0.000004870717,0.0060111987,0.00017836121,0.00040416582,0.0075105526,0.00020198336,0.00007350096,0.94770867,0.036775693,0.0005840505],"study_design_scores_gemma":[0.0009897666,0.00037236357,0.000006445371,0.0056487415,0.00045775,0.00023911028,0.011273489,0.38008073,0.001710507,0.50363964,0.09370629,0.0018751402],"about_ca_topic_score_codex":0.00014281466,"about_ca_topic_score_gemma":0.00079651875,"teacher_disagreement_score":0.44406903,"about_ca_system_score_codex":0.00018388114,"about_ca_system_score_gemma":0.0011960327,"threshold_uncertainty_score":0.99969196},"labels":[],"label_agreement":null},{"id":"W4412756737","doi":"10.2298/fil2505763c","title":"On the approximation of several modified Bernstein-type operators","year":2025,"lang":"en","type":"article","venue":"Filomat","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"University of Toronto; National Natural Science Foundation of China","keywords":"Mathematics; Type (biology); Bernstein polynomial; Baskakov operator; Pure mathematics; Applied mathematics; Mathematical analysis; Operator theory; Microlocal analysis; Fourier integral operator","score_opus":0.04086770373360172,"score_gpt":0.3051081043748398,"score_spread":0.2642404006412381,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4412756737","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.929676,0.000013143214,0.011932147,0.0010449357,0.000185831,0.00040720834,0.000008700449,0.000077156445,0.056654908],"genre_scores_gemma":[0.9942964,0.000002510211,0.0020710526,0.00026297578,0.000015377438,0.000019675557,0.000006429086,0.000008061501,0.0033175556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999258,0.000118621996,0.00023118516,0.000121933015,0.00016149403,0.00010877309],"domain_scores_gemma":[0.99896896,0.0005039213,0.00010456597,0.00032503234,0.000080507096,0.000017018574],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039918482,0.00010160746,0.00015551083,0.00006243036,0.00011622834,0.000023661463,0.00019719085,0.00006412625,0.00027891976],"category_scores_gemma":[0.0005508085,0.00006462129,0.000048955742,0.0002490695,0.00007257327,0.00008886458,0.000035085613,0.00009486127,0.000036545312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004150242,0.000046884714,0.000015479705,0.00007265949,0.000025294104,3.828362e-7,0.0007279056,0.00020803335,0.00074243825,0.9939425,0.0040110666,0.00016582741],"study_design_scores_gemma":[0.0002249207,0.00005111112,0.000069795205,0.00010370585,0.000020654801,0.0000011080947,0.00041247482,0.010394653,0.035816453,0.9525925,0.0002192834,0.00009332597],"about_ca_topic_score_codex":0.000004168059,"about_ca_topic_score_gemma":0.0000015965402,"teacher_disagreement_score":0.06462039,"about_ca_system_score_codex":0.000025339363,"about_ca_system_score_gemma":0.00003842412,"threshold_uncertainty_score":0.3053976},"labels":[],"label_agreement":null},{"id":"W4413035302","doi":"10.4153/s0008414x25101284","title":"On Bauschke–Bendit–Moursi modulus of averagedness and classifications of averaged nonexpansive operators","year":2025,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":true,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Mitacs","keywords":"Mathematics; Modulus; Pure mathematics; Geometry","score_opus":0.02673863013811274,"score_gpt":0.28782091037140417,"score_spread":0.26108228023329144,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413035302","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9564966,0.00014345023,0.038473107,0.0005690219,0.0002551492,0.00024645778,0.000056666657,0.0000061009314,0.0037534244],"genre_scores_gemma":[0.9844268,0.000020475372,0.014926975,0.00005692338,0.000019029038,0.000003290653,0.0000014557594,0.000014877254,0.00053018227],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986228,0.00011395428,0.0007766324,0.00010155302,0.00021060038,0.00017446374],"domain_scores_gemma":[0.9976373,0.0006643418,0.0006958262,0.00029642225,0.00048707737,0.00021904828],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00082836783,0.00015004721,0.0004906142,0.00048975693,0.00013498565,0.000028195736,0.00028474216,0.000105451254,0.00009942227],"category_scores_gemma":[0.001771181,0.0001281493,0.00010197852,0.0002855665,0.00025333068,0.00014060827,0.000012934999,0.0002450239,0.0000019954596],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014997374,0.0001234034,0.00017687771,0.0005861778,0.00015398262,0.000015823693,0.008402306,0.00036639624,0.0013348692,0.98669475,0.0017784075,0.00035197719],"study_design_scores_gemma":[0.0009533491,0.00023696171,0.00037911438,0.0015642425,0.00024177144,0.00005800482,0.016626652,0.0033266146,0.021978088,0.9542085,0.00018155623,0.0002451263],"about_ca_topic_score_codex":0.000061014223,"about_ca_topic_score_gemma":0.00046598277,"teacher_disagreement_score":0.032486264,"about_ca_system_score_codex":0.00008903341,"about_ca_system_score_gemma":0.00082449423,"threshold_uncertainty_score":0.52257764},"labels":[],"label_agreement":null},{"id":"W4413224920","doi":"10.1007/s12095-025-00829-z","title":"New Turyn-type sequences","year":2025,"lang":"en","type":"article","venue":"Cryptography and Communications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Wilfrid Laurier University","funders":"","keywords":"Type (biology); Computer science; Biology","score_opus":0.05563705351840285,"score_gpt":0.3583692880045586,"score_spread":0.3027322344861557,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4413224920","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12819882,0.019530615,0.32717288,0.028022518,0.0004452242,0.0010463638,0.000017833512,0.0009005109,0.49466527],"genre_scores_gemma":[0.81753,0.0014945604,0.1795495,0.00035622678,0.000015161599,0.000023492224,0.000009444245,0.000006211708,0.0010154534],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99946356,0.000100892736,0.00016475582,0.00011080763,0.00005845391,0.00010151575],"domain_scores_gemma":[0.9985998,0.00040766635,0.000058437592,0.0008199407,0.000064545144,0.000049603954],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00019929049,0.000085762185,0.00011511131,0.00013574872,0.00039884794,0.00005808166,0.00047477018,0.000057415065,0.00006318895],"category_scores_gemma":[0.00011312639,0.00007638978,0.00004959931,0.00062615663,0.00026996018,0.00013276878,0.00012674772,0.00013655801,0.0000058730675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000005261931,0.000024442741,0.0007088431,0.000016869331,0.00003187854,8.948132e-8,0.00065375026,2.4008895e-7,0.00020311377,0.987467,0.0027643668,0.008124153],"study_design_scores_gemma":[0.00010547634,0.000015167008,0.00040404234,0.00004746409,0.000033557113,0.0000015682921,0.001094738,0.0000446953,0.00045467055,0.9785318,0.019186419,0.000080402606],"about_ca_topic_score_codex":0.000021716658,"about_ca_topic_score_gemma":0.000033480603,"teacher_disagreement_score":0.6893311,"about_ca_system_score_codex":0.0000054024567,"about_ca_system_score_gemma":0.00006309885,"threshold_uncertainty_score":0.31150848},"labels":[],"label_agreement":null},{"id":"W4414355600","doi":"10.28924/2291-8639-23-2025-233","title":"Non-Bazilevič Functions Defined by Generalized M-Series Subordinating With Generalized Telephone Numbers","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Class (philosophy); Hypergeometric function; Function (biology); Generalized hypergeometric function; Logarithm; Convex function; Operator (biology); Generalized function; Series (stratigraphy); Inverse","score_opus":0.008981463623579487,"score_gpt":0.29461960920728264,"score_spread":0.28563814558370315,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414355600","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.321138,0.00018429187,0.67222947,0.003169509,0.00006696128,0.000171179,0.000047137048,0.000023944593,0.0029695334],"genre_scores_gemma":[0.95230126,0.00021580966,0.04201093,0.00022247562,0.00013661059,0.00009075961,0.000066541674,0.000012320404,0.0049433005],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99879247,0.000050636332,0.00056052837,0.00016989985,0.00031367035,0.00011281417],"domain_scores_gemma":[0.99832535,0.00018600581,0.00055998104,0.00016410774,0.0006978026,0.0000667272],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00039804092,0.00013974134,0.00034725788,0.0004327363,0.00020631522,0.00013348565,0.00027325985,0.00005242062,0.00014227771],"category_scores_gemma":[0.000072130715,0.00010743696,0.00018315743,0.0008352946,0.00011863159,0.00026327962,0.00003499437,0.00013321616,0.0000024351875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005566862,0.0009886964,0.034471463,0.000072503535,0.015770325,0.000011246557,0.0010032741,0.0020936308,0.025792582,0.8870308,0.019067982,0.013140852],"study_design_scores_gemma":[0.011364682,0.00052439305,0.009504717,0.00046457743,0.01526034,0.00038258493,0.0110537885,0.012669695,0.050993912,0.7304051,0.15546766,0.0019085495],"about_ca_topic_score_codex":0.00005353493,"about_ca_topic_score_gemma":0.000092636015,"teacher_disagreement_score":0.63116324,"about_ca_system_score_codex":0.000057763078,"about_ca_system_score_gemma":0.00007280937,"threshold_uncertainty_score":0.4381152},"labels":[],"label_agreement":null},{"id":"W4414866840","doi":"10.1016/j.topol.2025.109629","title":"Weak approximation by points in function spaces and in the power of Arens' space","year":2025,"lang":"en","type":"article","venue":"Topology and its Applications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Space (punctuation); Function space; Function (biology); Power (physics); Interpolation space; Measurable function","score_opus":0.015983516186943974,"score_gpt":0.29497702715762925,"score_spread":0.27899351097068525,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4414866840","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.95391273,0.00087672606,0.022768285,0.009859823,0.00002253179,0.0007685837,0.0000105988665,0.000020402662,0.011760342],"genre_scores_gemma":[0.998484,0.00009206084,0.0006080915,0.00013838397,0.000004477714,0.00017255188,0.0000070314345,0.0000027216086,0.0004906391],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994418,0.00010532915,0.00018515815,0.00013706581,0.000045247503,0.00008540423],"domain_scores_gemma":[0.9993674,0.00037980225,0.00008409342,0.0001323224,0.000025333164,0.00001106046],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00045369277,0.00006762108,0.000125123,0.00010209161,0.00007494175,0.000009951213,0.00007224372,0.00008632559,0.000027064365],"category_scores_gemma":[0.00010544879,0.000051965817,0.00001038799,0.00024530166,0.00014555037,0.00008546345,0.000020799791,0.00010487559,0.0000021129936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021351367,0.000070848844,0.00095043285,0.000048916754,0.000005437683,5.4821133e-8,0.0014870502,0.0000011133087,0.00096902094,0.9956271,0.00041215462,0.0004065381],"study_design_scores_gemma":[0.00032408873,0.000031537824,0.0050049103,0.000025886453,0.000017805274,0.0000033864062,0.0076795775,0.00029185347,0.0017761145,0.98233867,0.0024362125,0.000069964175],"about_ca_topic_score_codex":0.000011935167,"about_ca_topic_score_gemma":0.00006485298,"teacher_disagreement_score":0.044571333,"about_ca_system_score_codex":0.000008475211,"about_ca_system_score_gemma":0.000012939212,"threshold_uncertainty_score":0.21191046},"labels":[],"label_agreement":null},{"id":"W4416139200","doi":"10.4153/s0008439525101410","title":"On the class of weak U-Dunford–Pettis operators","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":true,"route_about_ca":false,"ca_institutions":"","funders":"","keywords":"Class (philosophy); Characterization (materials science); Order (exchange); Lattice (music); Set (abstract data type); Operator theory","score_opus":0.01948932457127012,"score_gpt":0.26495843479429715,"score_spread":0.24546911022302703,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416139200","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21995279,0.000041962536,0.0060273325,0.057703838,0.00013886079,0.00086950837,0.000042474974,0.00007806761,0.7151452],"genre_scores_gemma":[0.97335476,0.0000032879516,0.0022646703,0.0029196746,0.000024802539,0.00007816697,0.0000026384755,0.000022757946,0.021329222],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987457,0.00014408193,0.00040807916,0.00018306331,0.00020178131,0.00031729616],"domain_scores_gemma":[0.9971865,0.0019306287,0.000090782065,0.00052646536,0.00008576658,0.00017987522],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008630304,0.00017225649,0.00029924262,0.00015250627,0.0001957626,0.00004500544,0.0004239212,0.00012230167,0.016234392],"category_scores_gemma":[0.0031208484,0.00011346957,0.000105638384,0.00027055488,0.0002746432,0.000022102258,0.000032680313,0.00022599364,0.0018701138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000063445736,0.000030064522,0.0000050781364,0.00011507094,0.000028165512,0.0000029691107,0.00023929217,0.00000278462,0.000033862405,0.9149175,0.084427975,0.00019087303],"study_design_scores_gemma":[0.00013279919,0.000030569794,0.0000073055185,0.00024977647,0.000025597532,0.0000033109857,0.0010161796,0.00024089392,0.0018229069,0.95640206,0.039945766,0.00012282538],"about_ca_topic_score_codex":0.00013074544,"about_ca_topic_score_gemma":0.0003394323,"teacher_disagreement_score":0.753402,"about_ca_system_score_codex":0.00010102733,"about_ca_system_score_gemma":0.0002400219,"threshold_uncertainty_score":0.998907},"labels":[],"label_agreement":null},{"id":"W4416710510","doi":"10.1090/mbk/154/35","title":"Chebyshëv’s bias","year":2025,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"","score_opus":0.05730579735874481,"score_gpt":0.3057196166677088,"score_spread":0.248413819308964,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4416710510","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00007621861,0.000050604922,0.021513375,0.0004788273,0.00007809405,0.00069964986,0.000050047318,0.00048078827,0.9765724],"genre_scores_gemma":[0.00082802324,0.00003095193,0.07439607,0.0011535143,0.00018696197,0.00007948165,0.000016186183,0.00012943431,0.9231794],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99719256,0.00006438756,0.0009091639,0.00064454344,0.0006751159,0.0005142289],"domain_scores_gemma":[0.9958829,0.0019115772,0.0008390035,0.0009930285,0.00015910274,0.00021437815],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007761202,0.0007337257,0.0013970874,0.00007490055,0.0002530573,0.00009275435,0.00059976225,0.00044784826,0.0015140608],"category_scores_gemma":[0.00043601467,0.00062783813,0.0011526167,0.00005447011,0.0017341347,0.00005083869,0.00026000236,0.0008723973,0.00044477137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008647918,0.00003384701,3.742566e-7,0.00059845566,0.00040785663,0.000006054941,0.0012766002,1.1601792e-7,0.000015721856,0.9627079,0.026839534,0.008104897],"study_design_scores_gemma":[0.00015569739,0.00006909743,1.7252951e-7,0.00053948374,0.0003489732,0.000011613387,0.00054289633,0.00018148194,0.00014938758,0.94250345,0.054897375,0.00060037884],"about_ca_topic_score_codex":0.000004726848,"about_ca_topic_score_gemma":0.00000214614,"teacher_disagreement_score":0.053393014,"about_ca_system_score_codex":0.00019186211,"about_ca_system_score_gemma":0.00023121828,"threshold_uncertainty_score":0.9996173},"labels":[],"label_agreement":null},{"id":"W4417331967","doi":"10.3390/stats8040118","title":"Korovkin-Type Approximation Theorems for Statistical Gauge Integrable Functions of Two Variables","year":2025,"lang":"en","type":"article","venue":"Stats","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Integrable system; Gauge (firearms); Banach space; Linear operators; Robustness (evolution); Limit (mathematics); Gauge theory","score_opus":0.04596983138779122,"score_gpt":0.3654803443482419,"score_spread":0.3195105129604507,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W4417331967","genre_codex":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016301084,0.00003227249,0.954403,0.00015167432,0.00028480115,0.0005288073,0.0002185175,0.00007747636,0.02800237],"genre_scores_gemma":[0.8015938,0.000008426508,0.19258955,0.00006959805,0.00004044076,0.00009599982,0.00016126814,0.000019405845,0.0054215114],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99906135,0.00009663185,0.00034081322,0.00018307359,0.00013068142,0.00018748175],"domain_scores_gemma":[0.9980297,0.0013020801,0.00014020127,0.00024221772,0.00025095165,0.000034848843],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00071827887,0.00011995242,0.00023437067,0.0001068512,0.0001381985,0.000027383798,0.00012631412,0.000060876846,0.00043729943],"category_scores_gemma":[0.0012321303,0.00010137067,0.00004920001,0.00027132125,0.0001876049,0.00013835427,0.000025847823,0.00009271444,0.000010461285],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00011530094,0.00010035067,0.00002684564,0.00028349555,0.00004866634,2.642566e-7,0.00040874776,0.000036749392,0.0016493137,0.98859835,0.0067221504,0.0020097948],"study_design_scores_gemma":[0.00046444815,0.000083934494,0.000010285508,0.00007351145,0.00006886298,0.0000010341624,0.0009773189,0.0056937113,0.0069030323,0.98438984,0.001240656,0.00009335423],"about_ca_topic_score_codex":0.000019223004,"about_ca_topic_score_gemma":0.000015981865,"teacher_disagreement_score":0.7852927,"about_ca_system_score_codex":0.000038892456,"about_ca_system_score_gemma":0.00012157456,"threshold_uncertainty_score":0.47881222},"labels":[],"label_agreement":null},{"id":"W569646276","doi":"10.1093/oso/9780198501657.001.0001","title":"Classical and Modern Methods in Summability","year":2000,"lang":"en","type":"book","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":483,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Mathematical proof; Sequence (biology); Matrix (chemical analysis); Bounded function; Algebra over a field; Pure mathematics; Toeplitz matrix; Presentation (obstetrics); Field (mathematics); Calculus (dental); Mathematical analysis; Geometry","score_opus":0.0808767141174836,"score_gpt":0.4034710145599566,"score_spread":0.322594300442473,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W569646276","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00040957,0.0001217036,0.045321357,0.00018590331,0.000025294949,0.00030324576,0.000007650177,0.00008475011,0.9535405],"genre_scores_gemma":[0.00013257907,0.000038733135,0.19475687,0.00006123066,0.000039762464,0.000016411246,0.000007987257,0.00002257092,0.8049239],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99878174,0.00027622122,0.0003414323,0.00031449707,0.00013132436,0.00015477883],"domain_scores_gemma":[0.9984262,0.0010959442,0.000083480474,0.00031518695,0.000019026369,0.00006018051],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0010816811,0.0002024729,0.000446737,0.00008134788,0.00003151515,0.000025498135,0.000121643345,0.00039285468,0.0012919882],"category_scores_gemma":[0.00020050448,0.00016230934,0.00006440978,0.000034064306,0.00020676896,0.00008076661,0.00004362353,0.0003914342,0.000020189154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025619987,0.000044291886,0.000006882648,0.00021245313,0.000014336745,0.000004426307,0.0006391205,0.0000012687225,0.000013019086,0.96233314,0.006700102,0.030005317],"study_design_scores_gemma":[0.000118838,0.000015853524,0.000004550218,0.00005556063,0.000017187693,0.000004420001,0.00002888582,0.0018379559,0.00005758016,0.9784502,0.019230625,0.00017834303],"about_ca_topic_score_codex":0.0000022850286,"about_ca_topic_score_gemma":0.000024288145,"teacher_disagreement_score":0.1494355,"about_ca_system_score_codex":0.000092978786,"about_ca_system_score_gemma":0.00012443385,"threshold_uncertainty_score":0.999621},"labels":[],"label_agreement":null},{"id":"W6939104848","doi":"10.60692/k52z5-emc95","title":"StatisticalΛ-Convergence in Probabilistic Normed Spaces","year":2017,"lang":"en","type":"article","venue":"Greater South Information System","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Probabilistic logic; Statistical model; Notation; Statistical analysis; Probabilistic relevance model; Statistical hypothesis testing","score_opus":0.07998129642922312,"score_gpt":0.2849816621850774,"score_spread":0.20500036575585429,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6939104848","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9144353,7.530389e-7,0.06852995,0.0001421859,0.00034990947,0.00067883916,0.00007774148,0.00017577868,0.015609519],"genre_scores_gemma":[0.99590844,8.242959e-8,0.0036183475,0.000026935042,0.000032725497,0.00010165553,0.000005143887,0.00000830414,0.00029837372],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","domain_scores_codex":[0.998623,0.000080484795,0.0006127178,0.00014370009,0.0002848218,0.00025527045],"domain_scores_gemma":[0.99850327,0.000046703535,0.0005835945,0.0006541092,0.00013129417,0.00008102645],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007875448,0.00016710008,0.00026647083,0.00014278285,0.00032086388,0.00040801681,0.00037646355,0.000095298856,0.00008641502],"category_scores_gemma":[0.00078472745,0.00013420367,0.00004164924,0.00007567153,0.0001307085,0.0013551518,0.000069827285,0.00010819531,0.00063631666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000121997735,0.000008957631,0.15039182,0.0023245972,0.000032606873,0.00001682383,0.13498473,0.00008363936,0.0000029743246,0.71138066,0.00020875497,0.0004424697],"study_design_scores_gemma":[0.010485553,0.0004200022,0.4971486,0.0042466843,0.00024876944,0.0002823303,0.22069122,0.13366885,0.003957636,0.12414708,0.00091994007,0.0037833154],"about_ca_topic_score_codex":0.00001313303,"about_ca_topic_score_gemma":0.0000030682497,"teacher_disagreement_score":0.58723354,"about_ca_system_score_codex":0.00010497095,"about_ca_system_score_gemma":0.00004661396,"threshold_uncertainty_score":0.8178776},"labels":[],"label_agreement":null},{"id":"W6939326815","doi":"10.6084/m9.figshare.25656160","title":"Additional file 2 of “It’s hard to say anything definitive about what severity really is”: lay conceptualisations of severity in a healthcare context","year":2024,"lang":"en","type":"article","venue":"Figshare","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Context (archaeology); Health care; MEDLINE; Key (lock)","score_opus":0.09936009436079038,"score_gpt":0.33369761859227487,"score_spread":0.2343375242314845,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W6939326815","genre_codex":"dataset","genre_gemma":"dataset","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"dataset","genre_consensus":"dataset","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0005447511,0.00012059784,0.000010231757,0.001745832,0.00003167082,0.00038124342,0.99537736,0.000055844554,0.0017324813],"genre_scores_gemma":[0.102710865,0.000013065704,0.006963032,0.0040816413,0.00009094928,0.0015520005,0.8828114,0.00004341189,0.0017336326],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99865246,0.00017307271,0.00044897938,0.0002569769,0.00028497956,0.00018353383],"domain_scores_gemma":[0.99527603,0.00390526,0.00018839767,0.0002087746,0.00033806518,0.000083457555],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00015193658,0.00014648284,0.00030498178,0.00011922952,0.000066941786,0.00005262096,0.00016691191,0.00012978165,0.9002971],"category_scores_gemma":[0.0058071846,0.00014773205,0.00010382244,0.00033922784,0.00003994263,0.0006068017,0.00007323367,0.00023057476,0.0004888724],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014537659,0.00004246822,0.0000010835543,0.0008276786,0.000020970134,0.000007530323,0.015546212,0.000002255448,0.0000061860187,0.010113393,0.97196853,0.0014491297],"study_design_scores_gemma":[0.00040758078,0.00021856063,0.001540277,0.07224285,0.000024406902,0.000032395117,0.037551213,0.0010223183,0.0017903404,0.13263482,0.7518289,0.00070634496],"about_ca_topic_score_codex":0.000039652754,"about_ca_topic_score_gemma":0.00031420187,"teacher_disagreement_score":0.8998082,"about_ca_system_score_codex":0.000090218644,"about_ca_system_score_gemma":0.00037173944,"threshold_uncertainty_score":0.6952162},"labels":[],"label_agreement":null},{"id":"W7005094032","doi":"","title":"A PILOT STUDY OF COPY NUMBER VARIATION IN ROLANDIC EPILEPSY","year":2011,"lang":"en","type":"other","venue":"Research Portal (King's College London)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"SickKids Foundation; Hospital for Sick Children; University of Toronto","funders":"","keywords":"Rolandic epilepsy; Copy-number variation; Variation (astronomy); Epilepsy; Chromosome number","score_opus":0.1044502256897844,"score_gpt":0.3826910421048438,"score_spread":0.2782408164150594,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7005094032","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08915942,0.0001330611,0.00018065312,0.00003076655,0.00025936443,0.0043033473,0.00017685338,0.00017816987,0.9055784],"genre_scores_gemma":[0.75941503,0.00007169746,0.0010059867,0.0000084588755,0.00017229466,0.00037085294,0.000026290909,0.00031662663,0.23861279],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9950747,0.0012784182,0.00086357654,0.00063622993,0.0014708908,0.00067616784],"domain_scores_gemma":[0.99727416,0.0007914695,0.0006601826,0.0008674582,0.00025129537,0.00015540583],"candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0039857337,0.00038745417,0.0009108173,0.0010844574,0.00012782346,0.0000397589,0.0006618843,0.00026529227,0.016914146],"category_scores_gemma":[0.0009868251,0.00035544924,0.00009128045,0.0012048485,0.00024002716,0.0001666042,0.00020648548,0.0009832878,0.00036738405],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0013765321,0.010029315,0.03180587,0.0017570711,0.0006385414,0.0009901891,0.008428769,0.000001931757,0.00022070197,0.68663377,0.25796375,0.00015354184],"study_design_scores_gemma":[0.01692983,0.0125759505,0.009238378,0.005604641,0.00035051873,0.00015929184,0.018769473,0.0002814242,0.00058369525,0.9100959,0.022476349,0.0029345644],"about_ca_topic_score_codex":0.0035866424,"about_ca_topic_score_gemma":0.010016372,"teacher_disagreement_score":0.6702556,"about_ca_system_score_codex":0.0000977446,"about_ca_system_score_gemma":0.0003657281,"threshold_uncertainty_score":0.99988973},"labels":[],"label_agreement":null},{"id":"W7034839556","doi":"","title":"Volume 93 Issue Number 5, pp. 979-1252","year":2007,"lang":"en","type":"article","venue":"Lincoln (University of Nebraska)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":false,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"","funders":"","keywords":"Sympatric speciation; Salmo; Brown trout; Acanthocephala; Spermatozoon","score_opus":0.02216831252465783,"score_gpt":0.2708621385504081,"score_spread":0.24869382602575024,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7034839556","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8247339,0.00005225381,0.06320556,0.001397512,0.00018918664,0.00033519563,0.000023284487,0.00020295235,0.109860115],"genre_scores_gemma":[0.83595663,0.000031055224,0.07126186,0.0001406226,0.00017768468,2.762057e-7,0.000012744841,0.000024239107,0.09239486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901694,0.000059005954,0.00016904749,0.00022208886,0.00027683077,0.00025607008],"domain_scores_gemma":[0.99898654,0.0002340982,0.00021569773,0.00031181023,0.00012933965,0.00012251797],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00065715483,0.0001333985,0.0002627829,0.00007676036,0.0002192946,0.000012084972,0.00034619423,0.00016441765,0.0041375584],"category_scores_gemma":[0.000102755504,0.00016099268,0.0001245905,0.00031127935,0.00022057215,0.00032577282,0.00010306282,0.00016286508,0.0011098536],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00051488314,0.0008730857,0.014676847,0.0005476811,0.00026406898,0.0003064926,0.018689774,0.000035741192,0.0025767758,0.8247941,0.11612893,0.020591587],"study_design_scores_gemma":[0.0027272746,0.00026333137,0.012181305,0.0002175334,0.00023488035,0.00007090143,0.049599368,0.0019675423,0.003763306,0.58252394,0.34536296,0.0010876777],"about_ca_topic_score_codex":0.00012348738,"about_ca_topic_score_gemma":0.0001585464,"teacher_disagreement_score":0.24227022,"about_ca_system_score_codex":0.000059372516,"about_ca_system_score_gemma":0.000049665898,"threshold_uncertainty_score":0.9996679},"labels":[],"label_agreement":null},{"id":"W7066628476","doi":"","title":"An Industry Focused Investigation into Immersive Commercial Melodic Rap Production","year":2024,"lang":"en","type":"article","venue":"Huddersfield Research Portal (University of Huddersfield)","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Centre for Interdisciplinary Research in Music Media and Technology","funders":"","keywords":"Melody; Key (lock); Salient; Musical; Production (economics); Mixing (physics); Music industry; Timbre","score_opus":0.15345368156039088,"score_gpt":0.38910921732866677,"score_spread":0.2356555357682759,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7066628476","genre_codex":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4107482,0.0005962532,0.025999572,0.027294181,0.0012643448,0.0020303968,0.00002464723,0.00057007757,0.5314723],"genre_scores_gemma":[0.993827,0.00006688142,0.004111007,0.00005833907,0.00019707413,0.0000032143187,0.000029531211,0.00002368343,0.0016833108],"study_design_codex":"not_applicable","study_design_gemma":"qualitative","domain_scores_codex":[0.9974591,0.0005281032,0.0002642475,0.0005441932,0.0007773034,0.0004270519],"domain_scores_gemma":[0.9982757,0.00049592456,0.00012073321,0.0005083238,0.00035612754,0.00024321108],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0018257818,0.0001982589,0.0002912642,0.0006090598,0.0006410781,0.000083763174,0.00050937705,0.0006064468,0.072210744],"category_scores_gemma":[0.00042614245,0.00021879996,0.00015157096,0.0008355196,0.00086554827,0.0011998452,0.00011296036,0.001523072,0.00004722772],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000121774916,0.0001189602,0.00017189042,0.000402274,0.00012963053,0.00015081062,0.03319035,0.000015478472,0.006947368,0.09731662,0.85613865,0.0052962075],"study_design_scores_gemma":[0.00025812577,0.0002765305,0.000008758101,0.00018795778,0.000050315037,0.000014739661,0.8101618,0.00060832873,0.007908791,0.180253,0.000055370496,0.0002162707],"about_ca_topic_score_codex":0.0005931173,"about_ca_topic_score_gemma":0.0006654036,"teacher_disagreement_score":0.8560833,"about_ca_system_score_codex":0.000001024706,"about_ca_system_score_gemma":0.00036743446,"threshold_uncertainty_score":0.9286374},"labels":[],"label_agreement":null},{"id":"W7084054034","doi":"10.64628/aap.cxj4vupxm","title":"Du spa nordique à la retraite en pleine nature : le Québec au cœur de la révolution du tourisme de bien-être","year":2025,"lang":"fr","type":"article","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Nature tourism; Context (archaeology); Tourism; Consumption (sociology)","score_opus":0.004693037700407065,"score_gpt":0.25654329873250187,"score_spread":0.2518502610320948,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W7084054034","genre_codex":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.45561016,0.0023541907,0.22621085,0.08612531,0.00042987493,0.0004971725,0.00004869864,0.0003174408,0.2284063],"genre_scores_gemma":[0.77085286,0.00031491218,0.024226923,0.001060307,0.00048536397,0.000037300233,0.000016770406,0.000037457132,0.20296809],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972031,0.0013189109,0.0004213299,0.00034724062,0.00019255199,0.0005168292],"domain_scores_gemma":[0.9970765,0.0021034009,0.00016748122,0.00038148847,0.00012412561,0.00014697763],"candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0026353318,0.00031933043,0.0003727024,0.00021476274,0.00033509484,0.00012884416,0.00035845325,0.0011596503,0.0006882541],"category_scores_gemma":[0.002192625,0.00030935238,0.00018420443,0.0005308649,0.0004078585,0.0003593888,0.00012657417,0.0010842211,0.000043874097],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000064741595,0.00033434588,0.0044199284,0.0005981011,0.00010719253,0.00008577182,0.0076728743,0.0002084438,0.0013279044,0.946528,0.03563615,0.0030165142],"study_design_scores_gemma":[0.0012899437,0.00009525956,0.006401053,0.0008361601,0.00022539335,0.00031039258,0.004754218,0.025921427,0.011425158,0.6548826,0.29324442,0.00061397033],"about_ca_topic_score_codex":0.017064743,"about_ca_topic_score_gemma":0.024658764,"teacher_disagreement_score":0.3152427,"about_ca_system_score_codex":0.0008359015,"about_ca_system_score_gemma":0.002534324,"threshold_uncertainty_score":0.99993587},"labels":[],"label_agreement":null},{"id":"W947722380","doi":"10.1007/978-0-387-48807-3_44","title":"The Gamma Function Γ(v)","year":2008,"lang":"en","type":"book-chapter","venue":"","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"route_ca_aff":true,"route_ca_fund":false,"route_ca_venue":false,"route_about_ca":false,"ca_institutions":"Trent University","funders":"","keywords":"Function (biology); Biology; Evolutionary biology","score_opus":0.06294805846198061,"score_gpt":0.2687741121274569,"score_spread":0.2058260536654763,"validation_status":"score_only:v0-immature-baseline","prediction":{"id":"W947722380","genre_codex":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"codex-gemma-dda1882f352a","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0000139254935,0.00024275659,0.005256503,0.00030368153,0.00017062927,0.00020465188,0.0000026491452,0.000150578,0.9936546],"genre_scores_gemma":[0.00032325153,0.00056629156,0.0010148636,0.00010960873,0.00020122295,0.000010038895,0.0000064781652,0.000034453114,0.9977338],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992638,0.00001608701,0.00022746129,0.00015177189,0.00022129678,0.0001195775],"domain_scores_gemma":[0.99896586,0.00040513958,0.00017951534,0.0003462695,0.00006944977,0.000033770364],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00023537842,0.00017712697,0.00016306558,0.00003119535,0.00032957498,0.00003118594,0.00015264712,0.00020071452,0.0016315106],"category_scores_gemma":[0.000047994323,0.000102797894,0.00011741629,0.000010292109,0.00016407078,0.00005633714,0.000029095472,0.00022264611,0.0007485488],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013629373,0.0000024739354,9.192573e-8,0.000011448977,0.000032961212,0.000002417153,0.0000766832,1.546927e-7,0.000002055815,0.92485213,0.07018034,0.0048255958],"study_design_scores_gemma":[0.000029248722,0.000016185599,2.195895e-7,0.000013668273,0.000016755092,0.0000105656145,0.000025335186,0.000009781451,0.00001650907,0.5557885,0.44399324,0.00007998387],"about_ca_topic_score_codex":7.4529044e-7,"about_ca_topic_score_gemma":0.000011548282,"teacher_disagreement_score":0.3738129,"about_ca_system_score_codex":0.000028497643,"about_ca_system_score_gemma":0.00003544559,"threshold_uncertainty_score":0.9992811},"labels":[],"label_agreement":null}]}