{"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":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.026041538,0.033915695,0.624278,0.0030707794,0.0029133544,0.00008741318,0.0012418358,0.00050669425,0.30794472],"genre_scores_gemma":[0.426421,0.04684555,0.25153515,0.0016492504,0.0046439148,0.00035900262,0.0036004153,0.0007024568,0.26424336],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998823,0.00029664047,0.000093212024,0.00023942514,0.00049999997,0.0000477689],"domain_scores_gemma":[0.99914837,0.0002815746,0.00007586996,0.00011129361,0.00030574633,0.0000771769],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010963368,0.0008753718,0.00062843505,0.0019991742,0.00077508105,0.003916927,0.0007679588,0.0007704958,0.010634294],"category_scores_gemma":[0.002383179,0.0003458046,0.00045077878,0.0027305759,0.002254229,0.005631178,0.0015479907,0.0026509608,0.0027285356],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000055764185,0.000004889576,0.00003738794,0.000043729233,0.0000046836276,0.000014168144,0.00007718091,0.00049916096,0.000357029,0.98849493,0.0023625118,0.008098864],"study_design_scores_gemma":[0.0000027921806,0.000017215034,0.0001425719,0.00003410746,0.000005756468,0.000087106746,0.000069690504,0.0036893992,0.00049770356,0.92453057,0.07091407,0.000009035516],"about_ca_topic_score_codex":0.0008994348,"about_ca_topic_score_gemma":0.0006798079,"teacher_disagreement_score":0.010634294,"about_ca_system_score_codex":0.0011848361,"about_ca_system_score_gemma":0.00068905513,"threshold_uncertainty_score":0.03557527},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015679253,0.0005939065,0.96164715,0.00040613615,0.00020291195,0.000035050125,0.00035109592,0.00093188736,0.020152528],"genre_scores_gemma":[0.33135277,0.001621448,0.5971535,0.00033724864,0.00026186943,0.00025501673,0.0018657183,0.0020370842,0.065115355],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989849,0.00033240378,0.000047334233,0.00015035472,0.00036575718,0.000119303346],"domain_scores_gemma":[0.9972542,0.0016090014,0.00016798748,0.00026120967,0.0005715317,0.00013603756],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002484533,0.0010836631,0.00088498235,0.0008582797,0.00042744784,0.0019695284,0.001384099,0.0008995304,0.0116777],"category_scores_gemma":[0.010462642,0.0003970673,0.0009806349,0.0008498536,0.0011734946,0.0013943445,0.0019457048,0.002813984,0.004686213],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00048901106,0.00008057291,0.0014078356,0.0005780022,0.00007255605,0.0002747634,0.00025885156,0.21030591,0.007537703,0.5639453,0.019006394,0.19604312],"study_design_scores_gemma":[0.00001160136,0.00003538271,0.00027415334,0.000050423816,0.000011389454,0.000087172826,0.000024641256,0.924053,0.0024250243,0.06373567,0.009272998,0.000018474853],"about_ca_topic_score_codex":0.00602664,"about_ca_topic_score_gemma":0.004769773,"teacher_disagreement_score":0.0116777,"about_ca_system_score_codex":0.001179983,"about_ca_system_score_gemma":0.0013263905,"threshold_uncertainty_score":0.039065838},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09606282,0.003032954,0.8706523,0.00086528866,0.00023001102,0.00006752278,0.00018171735,0.00016545616,0.028741814],"genre_scores_gemma":[0.8342163,0.0045750528,0.14216195,0.0010917664,0.00081822294,0.00032279475,0.000658139,0.00037344638,0.015782345],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9951951,0.0014939667,0.00035502523,0.00087484537,0.0016350467,0.00044595034],"domain_scores_gemma":[0.97440106,0.013337363,0.0020499232,0.0017640856,0.0072301226,0.0012174455],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009347951,0.0011436216,0.0013195876,0.0043805167,0.0015175577,0.0021427823,0.0014207243,0.0009973927,0.003583267],"category_scores_gemma":[0.029947024,0.0003635116,0.001566991,0.0027250163,0.007706086,0.008885857,0.0032091131,0.003384975,0.0005995564],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029160426,0.000011886566,0.0005997934,0.00008382891,0.000018552155,0.0001076364,0.0003749966,0.0049836566,0.001018329,0.98670304,0.00034689336,0.0057221446],"study_design_scores_gemma":[0.000009951897,0.00012630054,0.0010460308,0.00006535791,0.000022401186,0.00029547338,0.00028554894,0.05220182,0.0016395407,0.9389612,0.005307235,0.00003920833],"about_ca_topic_score_codex":0.0021566893,"about_ca_topic_score_gemma":0.0010001574,"teacher_disagreement_score":0.009347951,"about_ca_system_score_codex":0.0023047775,"about_ca_system_score_gemma":0.0014582819,"threshold_uncertainty_score":0.049437225},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10888041,0.0058604437,0.6196886,0.01643124,0.0022634396,0.00025501568,0.0020707613,0.00067843305,0.24387164],"genre_scores_gemma":[0.8176878,0.006302325,0.089207016,0.005430082,0.0031389638,0.0009971682,0.0016511644,0.00077100773,0.07481447],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9935254,0.0022652869,0.00043260297,0.001092514,0.0019590876,0.0007251338],"domain_scores_gemma":[0.962284,0.024861963,0.0016558351,0.0020847893,0.00732755,0.0017858044],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009931438,0.0014932887,0.0019852358,0.0031092344,0.0022679316,0.005131744,0.0029698096,0.0022405419,0.014467242],"category_scores_gemma":[0.04492993,0.0009847067,0.0032090782,0.0017474073,0.0036101632,0.011313914,0.0073898477,0.0069070365,0.0025732792],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000705598,0.000017663975,0.000322613,0.00015842804,0.000038882186,0.00015476454,0.00018975625,0.0019640157,0.001073264,0.9874751,0.0034525823,0.0050823777],"study_design_scores_gemma":[0.000028154336,0.00005292498,0.00055710855,0.00008456387,0.000056977122,0.0005947021,0.00018321293,0.054855276,0.0017889757,0.93425155,0.0074941353,0.00005249584],"about_ca_topic_score_codex":0.0018559431,"about_ca_topic_score_gemma":0.0012275302,"teacher_disagreement_score":0.014467242,"about_ca_system_score_codex":0.003074665,"about_ca_system_score_gemma":0.0020361333,"threshold_uncertainty_score":0.052523077},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4542795,0.003107569,0.4064925,0.0049366336,0.00078563293,0.00007091107,0.00068736344,0.0006579247,0.12898201],"genre_scores_gemma":[0.9399702,0.0015605194,0.03686168,0.00049253163,0.0005796538,0.00008128589,0.00065731,0.0004699803,0.019326853],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984296,0.00042107145,0.0001047687,0.0002999612,0.0005328891,0.00021177347],"domain_scores_gemma":[0.99203885,0.004850839,0.0007953445,0.00069117034,0.000877891,0.000745948],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0029819568,0.00089495664,0.0009181568,0.0039950036,0.0015953128,0.0049035833,0.0012303946,0.0017617792,0.009781326],"category_scores_gemma":[0.017390545,0.0006592615,0.0013526651,0.0019423391,0.004047541,0.0077277496,0.0038543402,0.0055703977,0.0013902402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000068134614,0.000017014238,0.00037608837,0.00002433447,0.000007440331,0.00003874105,0.00018520838,0.0011444316,0.000405397,0.9898066,0.0008202431,0.007106395],"study_design_scores_gemma":[0.000016407412,0.000052426665,0.00083634123,0.00002983685,0.000013290752,0.00008761279,0.00013868314,0.0113896215,0.00052753993,0.98382366,0.0030649824,0.000019501944],"about_ca_topic_score_codex":0.0017208257,"about_ca_topic_score_gemma":0.0012674478,"teacher_disagreement_score":0.009781326,"about_ca_system_score_codex":0.0019961759,"about_ca_system_score_gemma":0.0006320152,"threshold_uncertainty_score":0.032721817},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.016254773,0.050511762,0.33709893,0.004741289,0.0025070738,0.000050072493,0.00064412283,0.00065183424,0.5875401],"genre_scores_gemma":[0.42108747,0.07428468,0.09673682,0.001204321,0.0052360417,0.00018534526,0.0012943732,0.0009293195,0.39904165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995552,0.00009335572,0.000015855214,0.000075821416,0.00021966785,0.000040080064],"domain_scores_gemma":[0.9995993,0.00016614805,0.000027086551,0.00007442246,0.00009301538,0.000040056497],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00041733228,0.0007615707,0.0010189873,0.0011310315,0.0005680643,0.0023201571,0.0008719217,0.000652712,0.0098021915],"category_scores_gemma":[0.001801713,0.0003262432,0.0004901764,0.0022164434,0.0016657875,0.0028654593,0.0012696867,0.0028770892,0.00403589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017628307,0.000008380472,0.000030345647,0.000094843126,0.000004622234,0.000012560198,0.000044003806,0.0021223049,0.00032716323,0.95027393,0.012880338,0.03418386],"study_design_scores_gemma":[0.000007470294,0.000016834856,0.00017512836,0.000051240273,0.0000065419003,0.00006658816,0.00003035098,0.011247292,0.0003863148,0.9110695,0.0769337,0.000009096017],"about_ca_topic_score_codex":0.0021289364,"about_ca_topic_score_gemma":0.0010704977,"teacher_disagreement_score":0.0098021915,"about_ca_system_score_codex":0.0016507108,"about_ca_system_score_gemma":0.00067685585,"threshold_uncertainty_score":0.032791615},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23636498,0.0011700703,0.7335586,0.0015212749,0.000488498,0.000044923883,0.00026580464,0.00035990193,0.026225945],"genre_scores_gemma":[0.9118182,0.0010290386,0.06278906,0.00024869316,0.0005799752,0.00008925682,0.0003000413,0.0002205347,0.022925235],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99804354,0.0006051026,0.00009792697,0.00040366227,0.0005658778,0.00028390883],"domain_scores_gemma":[0.9942392,0.002770331,0.000661311,0.0008295718,0.00089980237,0.0005997155],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022274833,0.0017508277,0.0016357609,0.00213156,0.0013110958,0.0033670927,0.0022650806,0.001705867,0.004984802],"category_scores_gemma":[0.016170591,0.0007883019,0.001043463,0.0021660982,0.003099635,0.0065692603,0.0044358787,0.0037811066,0.001159767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028006427,0.00006258412,0.000608222,0.000097537806,0.000037859365,0.00010452071,0.00013780035,0.00592746,0.003687709,0.9749263,0.0011884674,0.012941583],"study_design_scores_gemma":[0.000053098836,0.000084676045,0.00038174455,0.00004142944,0.000042682554,0.0002678908,0.000092452916,0.11809241,0.0042619347,0.8737405,0.0029007134,0.000040478335],"about_ca_topic_score_codex":0.00069671153,"about_ca_topic_score_gemma":0.0003528824,"teacher_disagreement_score":0.004984802,"about_ca_system_score_codex":0.0016354714,"about_ca_system_score_gemma":0.00058626645,"threshold_uncertainty_score":0.01667583},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5645548,0.0018165668,0.39595538,0.0005492553,0.0002673518,0.00007942727,0.00020286595,0.0001459397,0.036428325],"genre_scores_gemma":[0.9242652,0.00066173315,0.061927576,0.00012980217,0.00018665574,0.00009391863,0.00024918033,0.00004307912,0.012442868],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916565,0.00020086054,0.00006835363,0.00017654854,0.00028604397,0.00010249975],"domain_scores_gemma":[0.9988507,0.00024318673,0.00022775603,0.00009931381,0.00029827535,0.00028071058],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001193467,0.0007521026,0.00059816777,0.0021317748,0.0009455429,0.002295948,0.00080842443,0.0005946216,0.0021287662],"category_scores_gemma":[0.0017239224,0.00022656632,0.00065783237,0.0009166425,0.0030089626,0.0044375597,0.0021910602,0.0015798415,0.0002599635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038772698,0.000015338635,0.00046420316,0.000054033517,0.000012366867,0.00015219467,0.00042768742,0.0013830364,0.004392404,0.98692256,0.00019013016,0.0059472825],"study_design_scores_gemma":[0.000020594134,0.00021508896,0.0013147774,0.000039833587,0.000022113083,0.00068783056,0.0006753101,0.02544808,0.008233135,0.9529101,0.010385765,0.00004733903],"about_ca_topic_score_codex":0.00041882342,"about_ca_topic_score_gemma":0.00035569913,"teacher_disagreement_score":0.002295948,"about_ca_system_score_codex":0.0011230069,"about_ca_system_score_gemma":0.00049524155,"threshold_uncertainty_score":0.008148074},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33340964,0.0031836112,0.62921757,0.0012909588,0.00016977113,0.0000647443,0.00021627391,0.0002555148,0.032191876],"genre_scores_gemma":[0.9512938,0.0010903146,0.036059756,0.0002816016,0.0002819867,0.0000926945,0.00018065762,0.000076180826,0.010642899],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99767894,0.0005782738,0.00015110643,0.00034663486,0.0008964512,0.00034858557],"domain_scores_gemma":[0.98475546,0.008156538,0.0017776017,0.0009907411,0.0030686096,0.0012510921],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004181519,0.00090659724,0.00080218335,0.0027661289,0.0009861868,0.0025912516,0.0008926152,0.00065128156,0.0021035972],"category_scores_gemma":[0.015130899,0.00028624947,0.0012232175,0.0012996126,0.004857263,0.0046431264,0.0018160337,0.0026666056,0.00032506775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004998596,0.000020644078,0.0017674632,0.000100621044,0.00002648266,0.00023193537,0.0005286787,0.0038198403,0.0043984414,0.9825401,0.00032239815,0.0061934576],"study_design_scores_gemma":[0.000010254215,0.00015822423,0.0026199222,0.000039864437,0.000030793744,0.0004337699,0.0003289188,0.05750535,0.0044502523,0.93015957,0.004226066,0.00003702142],"about_ca_topic_score_codex":0.0012120041,"about_ca_topic_score_gemma":0.0009083607,"teacher_disagreement_score":0.004181519,"about_ca_system_score_codex":0.001980219,"about_ca_system_score_gemma":0.001035353,"threshold_uncertainty_score":0.022114277},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.8692501,0.0013401877,0.09352807,0.001635949,0.00023591692,0.000040770345,0.00009050673,0.00010078659,0.03377772],"genre_scores_gemma":[0.9775109,0.00048677746,0.010696067,0.00012300233,0.0003130729,0.000039181898,0.00005437139,0.00003834893,0.010738159],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995772,0.00010879463,0.000020632944,0.00007358213,0.00012539669,0.00009446131],"domain_scores_gemma":[0.9988625,0.00039903712,0.00022341675,0.00007170233,0.00013782682,0.00030560783],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010774302,0.00047447646,0.00045615825,0.0011282379,0.0009324352,0.0017516445,0.0005643648,0.00080668915,0.0042729992],"category_scores_gemma":[0.0026006189,0.0002571253,0.00055123837,0.00059153436,0.002074247,0.005330792,0.0017227723,0.0013723621,0.00039380227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034341923,0.000011864551,0.0002969883,0.000024337189,0.000004113541,0.0000797422,0.00023662417,0.000315327,0.0030695035,0.99361634,0.00017227388,0.0021386084],"study_design_scores_gemma":[0.00002661903,0.00011494394,0.0008639684,0.000019244557,0.000010190817,0.0004475023,0.00025620434,0.008949987,0.003091645,0.9833347,0.0028642742,0.000020535193],"about_ca_topic_score_codex":0.0002235843,"about_ca_topic_score_gemma":0.00015034445,"teacher_disagreement_score":0.0042729992,"about_ca_system_score_codex":0.0007102827,"about_ca_system_score_gemma":0.00039915033,"threshold_uncertainty_score":0.014294624},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4151408,0.0011071779,0.56129664,0.00114806,0.00012488085,0.00005455157,0.00010329229,0.00031314278,0.020711467],"genre_scores_gemma":[0.96048015,0.00048419906,0.033128962,0.00019341965,0.0001280306,0.00008233366,0.00009518301,0.0000967072,0.005310953],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9966,0.0010661606,0.0002310685,0.00055981614,0.0011838127,0.00035927634],"domain_scores_gemma":[0.9881563,0.005928502,0.000985233,0.000994543,0.0029160103,0.001019436],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005026735,0.000698076,0.0009929044,0.0021056782,0.0010125831,0.0017781259,0.0010428071,0.000902423,0.0017204211],"category_scores_gemma":[0.019020617,0.00043208784,0.0011504721,0.00067970395,0.003783489,0.0036973436,0.0031521388,0.0022420145,0.00020910628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007485106,0.000039113125,0.0021003492,0.000095515265,0.00006828936,0.00034725538,0.00056290254,0.015698189,0.0086707985,0.96039855,0.0004951212,0.011449056],"study_design_scores_gemma":[0.000015915239,0.00016442359,0.0023121121,0.00005150827,0.000024307914,0.00058543036,0.00023006074,0.19919164,0.006787003,0.7882544,0.0023488842,0.000034264485],"about_ca_topic_score_codex":0.0010921702,"about_ca_topic_score_gemma":0.0005786193,"teacher_disagreement_score":0.005026735,"about_ca_system_score_codex":0.0014414315,"about_ca_system_score_gemma":0.0009752723,"threshold_uncertainty_score":0.026584208},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3728307,0.0046371743,0.53876704,0.003443746,0.00042783885,0.0000513774,0.00025847656,0.0002508532,0.079332806],"genre_scores_gemma":[0.9484879,0.0021623846,0.036248755,0.00046442047,0.0003475386,0.00009183647,0.0002217866,0.00023627802,0.011739104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990472,0.00036022108,0.000036745594,0.00013717377,0.000267023,0.0001516118],"domain_scores_gemma":[0.9941982,0.003324877,0.0005170831,0.0002454322,0.0012020009,0.00051242835],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034590533,0.0007827299,0.0007983449,0.0017218033,0.0008270032,0.001841077,0.0012689166,0.00086355966,0.004057098],"category_scores_gemma":[0.0120282415,0.00025451867,0.0007303822,0.00076887815,0.0030595614,0.0029671649,0.0019011109,0.0021726699,0.0004712833],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010681882,0.00003235673,0.0011023832,0.00014646102,0.000020699601,0.00021357909,0.00029741222,0.010543102,0.0064156,0.96990776,0.0012542406,0.009959659],"study_design_scores_gemma":[0.000020056574,0.00009494103,0.0017094284,0.00011087966,0.000017972014,0.00050361984,0.00027903324,0.29612583,0.0042799725,0.69326806,0.0035526745,0.000037540576],"about_ca_topic_score_codex":0.002994329,"about_ca_topic_score_gemma":0.0012550295,"teacher_disagreement_score":0.004057098,"about_ca_system_score_codex":0.0016348547,"about_ca_system_score_gemma":0.0008223879,"threshold_uncertainty_score":0.01829344},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18274473,0.00055377826,0.8117615,0.00041718065,0.00013573405,0.00003303573,0.00010500965,0.00030177424,0.003947241],"genre_scores_gemma":[0.7802962,0.00047923077,0.21464255,0.00020226197,0.00023957551,0.00005316774,0.000138059,0.000116519404,0.0038323968],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993175,0.00024434325,0.0000366165,0.00013059484,0.00022177104,0.000049107664],"domain_scores_gemma":[0.9968957,0.0015664825,0.0005075309,0.0004180273,0.00037356906,0.00023878773],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0025199961,0.0007459522,0.0007074498,0.0011101993,0.00029259935,0.0013159215,0.000893822,0.0011901276,0.0016550772],"category_scores_gemma":[0.0090160305,0.00023394437,0.00050614745,0.0004793484,0.0012053823,0.0023228596,0.0014682142,0.0016884883,0.00028748927],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0005618705,0.00011532441,0.0036672188,0.00033085313,0.00006923884,0.00038671802,0.00038505514,0.07740381,0.14249395,0.67283416,0.0015387634,0.10021317],"study_design_scores_gemma":[0.00003646688,0.00017134288,0.0030922194,0.00003398562,0.000034141518,0.00047715494,0.00011991128,0.8303875,0.027670281,0.13379249,0.004096279,0.00008838517],"about_ca_topic_score_codex":0.0004469772,"about_ca_topic_score_gemma":0.00038323514,"teacher_disagreement_score":0.0025199961,"about_ca_system_score_codex":0.00045933985,"about_ca_system_score_gemma":0.00050396327,"threshold_uncertainty_score":0.013327181},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16643588,0.0028511335,0.80043894,0.00058040465,0.0006043291,0.000080292506,0.00036035382,0.00015004908,0.028498517],"genre_scores_gemma":[0.7517045,0.0014523937,0.2256975,0.00028294305,0.0004099846,0.0001469628,0.00056147645,0.00008957769,0.01965477],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987626,0.0002854779,0.000101927544,0.00026319106,0.0005054032,0.00008139449],"domain_scores_gemma":[0.9981997,0.0005141153,0.00021822879,0.00019964266,0.0006047994,0.00026344715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016373994,0.00047390876,0.00049557135,0.0021298523,0.0006324828,0.0018857581,0.00091742666,0.0007025503,0.0033185994],"category_scores_gemma":[0.0035360628,0.0002643424,0.00070830353,0.0011725136,0.0017429714,0.0050879093,0.0014758137,0.0015591601,0.00035995964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004654557,0.000014258308,0.00058918545,0.0000836937,0.000017263086,0.000105729865,0.00021186174,0.0018801397,0.0040200287,0.98204523,0.00034027157,0.010645816],"study_design_scores_gemma":[0.00003123526,0.0002512323,0.0012649938,0.000050245686,0.000026414918,0.0011982879,0.00026005058,0.06131278,0.00665813,0.8988378,0.030048475,0.000060321287],"about_ca_topic_score_codex":0.00032313907,"about_ca_topic_score_gemma":0.0002794165,"teacher_disagreement_score":0.0033185994,"about_ca_system_score_codex":0.00087155536,"about_ca_system_score_gemma":0.000506592,"threshold_uncertainty_score":0.011101842},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15342711,0.0055322484,0.810789,0.00255929,0.000504495,0.000045872916,0.00023238186,0.00022275132,0.026686896],"genre_scores_gemma":[0.88723505,0.004462976,0.08982031,0.00028982316,0.0007664678,0.00009388637,0.0004758335,0.00015076261,0.0167048],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969897,0.0014570828,0.00015955538,0.00026714278,0.00092763227,0.00019886853],"domain_scores_gemma":[0.9943663,0.0030448139,0.0005316822,0.00042420963,0.0010336015,0.0005994725],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003511482,0.0012694238,0.0016494738,0.0024683739,0.0008551189,0.0042752866,0.001329239,0.0012574202,0.0027856354],"category_scores_gemma":[0.009695571,0.00047916654,0.0012484322,0.0017699358,0.0032231275,0.005525899,0.003021419,0.0028594406,0.00054517656],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006849922,0.00001607662,0.00022266548,0.00004970248,0.000029295144,0.000037663376,0.00012881937,0.009228471,0.000999786,0.9837406,0.000504474,0.004974006],"study_design_scores_gemma":[0.000016053666,0.00005053826,0.0002773062,0.000019221661,0.000014497693,0.00009791297,0.00009278422,0.12541702,0.00050401955,0.8715591,0.0019372363,0.000014423609],"about_ca_topic_score_codex":0.0021045944,"about_ca_topic_score_gemma":0.0008984332,"teacher_disagreement_score":0.0042752866,"about_ca_system_score_codex":0.002163238,"about_ca_system_score_gemma":0.0010754347,"threshold_uncertainty_score":0.018570721},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.4482899,0.0053320806,0.49596107,0.0047852877,0.0006365105,0.0001406831,0.00045269675,0.00075191475,0.04364991],"genre_scores_gemma":[0.90153223,0.0037998096,0.062099602,0.00044600418,0.0005594983,0.00023851311,0.0005163841,0.00059168815,0.030216383],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99781585,0.0007199869,0.00011029087,0.00035333386,0.00064257806,0.00035797735],"domain_scores_gemma":[0.97676826,0.014277275,0.0015780528,0.0017022332,0.0035790163,0.002095089],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009962431,0.001352146,0.0017331261,0.0037342173,0.0019990993,0.0042070854,0.0025168508,0.002277348,0.008938635],"category_scores_gemma":[0.03215994,0.0007228098,0.0015475663,0.0016541673,0.005156956,0.008628962,0.0040297117,0.004774606,0.0011080333],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002105051,0.000033794455,0.0009561444,0.00009465126,0.00003770763,0.000121053075,0.00046005318,0.010979891,0.003537819,0.9765164,0.0010261798,0.0060258606],"study_design_scores_gemma":[0.000061908555,0.00010283302,0.0016942574,0.00008596249,0.00004901519,0.00040276925,0.00026311865,0.29584664,0.004463033,0.6936989,0.0032004574,0.0001310453],"about_ca_topic_score_codex":0.002963112,"about_ca_topic_score_gemma":0.0011802949,"teacher_disagreement_score":0.009962431,"about_ca_system_score_codex":0.0032391532,"about_ca_system_score_gemma":0.0015809843,"threshold_uncertainty_score":0.05268699},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23173334,0.0018119453,0.72013444,0.0022328089,0.0003018797,0.00003758991,0.00027729874,0.00017863995,0.043291975],"genre_scores_gemma":[0.923344,0.001991375,0.056988493,0.00046760915,0.00027699192,0.00008714973,0.00027555387,0.00013215812,0.016436689],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99885666,0.00036997383,0.00006428371,0.00024584724,0.00028896503,0.00017420898],"domain_scores_gemma":[0.99631137,0.0016223683,0.00054084184,0.0004447528,0.00071119505,0.0003694392],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002657708,0.0009470738,0.0006917686,0.0017859057,0.000939952,0.0021023233,0.0012568407,0.000746967,0.0036375541],"category_scores_gemma":[0.0071633924,0.00024978706,0.0011735952,0.0012718411,0.0023495024,0.0044882908,0.0033600482,0.0023657435,0.0007339022],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003380525,0.000009122454,0.0004861514,0.000052159197,0.000017404773,0.00005998948,0.00013619477,0.0033651774,0.0012478475,0.9892218,0.0003780499,0.004992382],"study_design_scores_gemma":[0.000012987818,0.00007825921,0.0007619847,0.00003750684,0.000040507643,0.00017528523,0.00014818323,0.076181255,0.002375141,0.915376,0.0047927694,0.00002012172],"about_ca_topic_score_codex":0.0013046074,"about_ca_topic_score_gemma":0.0008828065,"teacher_disagreement_score":0.0036375541,"about_ca_system_score_codex":0.0017773786,"about_ca_system_score_gemma":0.00050716597,"threshold_uncertainty_score":0.0140554905},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.043467507,0.006693217,0.8812538,0.005379228,0.0010347352,0.00006525168,0.00034273305,0.00053863326,0.061224997],"genre_scores_gemma":[0.6530274,0.014041675,0.22942765,0.004777112,0.004205511,0.00068376976,0.0016304663,0.0013642188,0.09084213],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9957437,0.0014957926,0.00017903428,0.0005322727,0.0015040735,0.00054512447],"domain_scores_gemma":[0.97088414,0.019887097,0.0012900026,0.0013650296,0.0042215874,0.0023520861],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.011255599,0.0031616748,0.0026560477,0.0071616084,0.0025650605,0.0062409127,0.004430958,0.003239427,0.01347057],"category_scores_gemma":[0.03124063,0.0013033311,0.002491861,0.004000291,0.0062036314,0.015662098,0.00837347,0.014965597,0.0026360971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006551567,0.00004119317,0.00023708625,0.00011553946,0.000023373032,0.00003825083,0.00023974557,0.0024827563,0.0012327717,0.98696834,0.002320703,0.0062347706],"study_design_scores_gemma":[0.000017927188,0.00004134907,0.00029204413,0.0000645961,0.00003655769,0.00007530487,0.00009343357,0.03674258,0.0009572293,0.95803773,0.0036071115,0.000034193585],"about_ca_topic_score_codex":0.0027966816,"about_ca_topic_score_gemma":0.0027169113,"teacher_disagreement_score":0.01347057,"about_ca_system_score_codex":0.0054319957,"about_ca_system_score_gemma":0.0018300941,"threshold_uncertainty_score":0.059525967},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07203691,0.020035686,0.828449,0.00613139,0.0016873839,0.00008383223,0.00033390595,0.00020697864,0.07103493],"genre_scores_gemma":[0.8318707,0.023998095,0.104947574,0.0022389803,0.0042465795,0.00038259584,0.0007297309,0.0003277494,0.031257983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969362,0.0014611762,0.00015564992,0.00042676236,0.000829867,0.00019028227],"domain_scores_gemma":[0.9895382,0.0065698163,0.0005252132,0.0005466043,0.0023088127,0.00051149464],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006836165,0.0013522446,0.0015091319,0.004232335,0.0015985302,0.0023907947,0.0012247926,0.0014977576,0.0031014846],"category_scores_gemma":[0.015500132,0.00051381247,0.0015859967,0.0033196202,0.005814144,0.005913392,0.0033332063,0.003641576,0.0006117393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001463424,0.000011270825,0.00028255425,0.00010228352,0.000026433334,0.00007086966,0.00015667321,0.005352641,0.0005662791,0.986717,0.00093251123,0.0057668583],"study_design_scores_gemma":[0.0000049349524,0.00007384009,0.0005599927,0.000059443526,0.000014508035,0.00017639699,0.00006290187,0.03554851,0.00041560552,0.95585364,0.007209132,0.00002109168],"about_ca_topic_score_codex":0.0017328301,"about_ca_topic_score_gemma":0.0007976834,"teacher_disagreement_score":0.006836165,"about_ca_system_score_codex":0.0021886472,"about_ca_system_score_gemma":0.0013445414,"threshold_uncertainty_score":0.036153495},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7113308,0.005009344,0.2024318,0.0090344995,0.0004665067,0.000042955322,0.00060406385,0.0003464354,0.07073363],"genre_scores_gemma":[0.97244126,0.00142373,0.014436076,0.00025208434,0.0006608532,0.000035459405,0.0003812518,0.00009537033,0.010273832],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986349,0.0003765474,0.00007383314,0.00022790102,0.00053082756,0.00015599352],"domain_scores_gemma":[0.9947949,0.0025042763,0.00070076337,0.00048405753,0.0006150813,0.00090084976],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020426423,0.00094833167,0.0012766188,0.0032852134,0.0015923808,0.00482151,0.001520882,0.002584754,0.0036218853],"category_scores_gemma":[0.012654316,0.0006687186,0.0008646383,0.0018598735,0.004616971,0.009160681,0.00423415,0.00453883,0.00037379313],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003903734,0.0000065980507,0.00017350548,0.000016710996,0.0000065525073,0.00002062018,0.0000882759,0.0011623701,0.00028054396,0.99588627,0.00043351084,0.0018859177],"study_design_scores_gemma":[0.000016069895,0.000025729065,0.0007798322,0.000012701767,0.000009904568,0.000078253805,0.000098106684,0.013688936,0.000333128,0.9829373,0.0020057042,0.000014276214],"about_ca_topic_score_codex":0.002134832,"about_ca_topic_score_gemma":0.00097114895,"teacher_disagreement_score":0.00482151,"about_ca_system_score_codex":0.002503606,"about_ca_system_score_gemma":0.00070862763,"threshold_uncertainty_score":0.018164992},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32295436,0.0036880705,0.6596585,0.00087600184,0.00021806532,0.000030480816,0.000093350944,0.00021101176,0.012270277],"genre_scores_gemma":[0.9198526,0.0027337498,0.06704711,0.00012694907,0.000166309,0.000050663897,0.00016658504,0.00007235748,0.009783635],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99892455,0.00045140425,0.000057557165,0.00013416151,0.00032831024,0.00010407189],"domain_scores_gemma":[0.99841917,0.0007722133,0.00021755003,0.00015875159,0.00024050781,0.0001917499],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002007305,0.00093590247,0.00088080886,0.0014529674,0.0004607295,0.001716278,0.0006652111,0.0009391834,0.0008613413],"category_scores_gemma":[0.004933629,0.00036604947,0.0008351233,0.00097053713,0.0025108473,0.0025347641,0.0021327517,0.0017383181,0.00023773953],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00019947483,0.000024634872,0.00077815045,0.00012568309,0.00005545252,0.00019747774,0.0005464816,0.061274074,0.014811164,0.90664387,0.00059483934,0.014748721],"study_design_scores_gemma":[0.000025342692,0.00015896946,0.000844572,0.000044510565,0.000023416933,0.00023346348,0.00013467934,0.35321918,0.0037617753,0.63756025,0.0039630053,0.000030722207],"about_ca_topic_score_codex":0.0012835298,"about_ca_topic_score_gemma":0.00066002173,"teacher_disagreement_score":0.002007305,"about_ca_system_score_codex":0.0013809353,"about_ca_system_score_gemma":0.0005934527,"threshold_uncertainty_score":0.010615766},"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":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.559312,0.009054672,0.24954918,0.015941847,0.0023107212,0.00010806289,0.0006540313,0.00046453477,0.16260497],"genre_scores_gemma":[0.92628086,0.0030359658,0.03468242,0.0007291639,0.0025036617,0.00009678774,0.0002729452,0.00025183673,0.032146282],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990626,0.000173126,0.000068789675,0.0001874266,0.0003827968,0.0001252128],"domain_scores_gemma":[0.99716526,0.0008353114,0.0005599612,0.00040141703,0.00040906933,0.00062899204],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002585997,0.00073108316,0.00066477386,0.0030423154,0.0013487745,0.0044109216,0.00088995614,0.0019362367,0.006946778],"category_scores_gemma":[0.009134908,0.0004247617,0.00075962103,0.0013142319,0.002840036,0.012405048,0.0037856176,0.0032486029,0.00059206487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021080816,0.000008342989,0.00027423905,0.000027605705,0.0000047129756,0.00004991821,0.00009265481,0.0005652875,0.000905642,0.994191,0.0006706732,0.003188895],"study_design_scores_gemma":[0.000019564273,0.00006195501,0.0013635966,0.000053511183,0.000019017289,0.00055731495,0.00021610816,0.015115673,0.0012157123,0.96312714,0.018214097,0.000036296227],"about_ca_topic_score_codex":0.00024084348,"about_ca_topic_score_gemma":0.00022537936,"teacher_disagreement_score":0.006946778,"about_ca_system_score_codex":0.0014134767,"about_ca_system_score_gemma":0.0003775373,"threshold_uncertainty_score":0.023239255},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06837625,0.053858843,0.7302771,0.023730116,0.0022604584,0.00004424874,0.00070672313,0.00023017885,0.120516],"genre_scores_gemma":[0.8002133,0.039293036,0.10642578,0.0033202993,0.0055734226,0.0001308436,0.0009225838,0.00035753884,0.04376324],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969098,0.0014809715,0.0001470148,0.0004981219,0.0007331151,0.00023101582],"domain_scores_gemma":[0.98531795,0.009434393,0.000568792,0.0011540122,0.0027688013,0.00075616926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0053035324,0.001066978,0.0018421892,0.0014513045,0.0011129826,0.0054829107,0.001723718,0.0021051422,0.004936795],"category_scores_gemma":[0.018276114,0.00052911777,0.0008778003,0.0025572304,0.0055021127,0.010986907,0.003964663,0.005004103,0.0007247184],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028712517,0.000008554118,0.000119096825,0.00008165702,0.000011348523,0.000014883802,0.00004253378,0.0018306997,0.000089056935,0.9891382,0.002090018,0.0065451744],"study_design_scores_gemma":[0.000008762231,0.000027662645,0.00016867132,0.00004103731,0.000009280232,0.00003616805,0.00006489223,0.033599474,0.00019268582,0.95976806,0.006073251,0.000010026574],"about_ca_topic_score_codex":0.0046998686,"about_ca_topic_score_gemma":0.0020261267,"teacher_disagreement_score":0.0054829107,"about_ca_system_score_codex":0.0033233536,"about_ca_system_score_gemma":0.0017783823,"threshold_uncertainty_score":0.028048098},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21388136,0.0037813515,0.6485374,0.0031636346,0.0009732787,0.000094360075,0.00046860948,0.00048737664,0.1286126],"genre_scores_gemma":[0.82009554,0.0037591546,0.10417313,0.0012730063,0.001203149,0.00019155475,0.00055386353,0.0002818074,0.06846884],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991677,0.00017276616,0.00004503025,0.00018165528,0.00029539943,0.00013753565],"domain_scores_gemma":[0.99824995,0.0006185159,0.00019436155,0.00017610285,0.00046611176,0.00029491453],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016397366,0.0008741115,0.00084288284,0.0021575892,0.0022529736,0.0027259444,0.0012756159,0.0017079065,0.0065121283],"category_scores_gemma":[0.0045029195,0.00036901067,0.0013385765,0.001901138,0.0021905152,0.004960734,0.0015972407,0.0026280193,0.0008907133],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000016348406,0.000015866814,0.0001509637,0.000034628923,0.000009849816,0.00011404621,0.00011933137,0.00038926123,0.0012485842,0.99340653,0.0009626083,0.0035318874],"study_design_scores_gemma":[0.00001078259,0.000017989169,0.00021079653,0.000015355932,0.000011193413,0.00072755985,0.00007044442,0.014016482,0.00071462814,0.9795008,0.0046880543,0.000016001408],"about_ca_topic_score_codex":0.00058543304,"about_ca_topic_score_gemma":0.00040666535,"teacher_disagreement_score":0.0065121283,"about_ca_system_score_codex":0.0012278295,"about_ca_system_score_gemma":0.0010030747,"threshold_uncertainty_score":0.02178526},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.034297243,0.0029752303,0.9287012,0.0008335487,0.0005182774,0.000030060326,0.00013874208,0.00027315365,0.032232556],"genre_scores_gemma":[0.52454805,0.0061389944,0.4177692,0.00091200555,0.0010750684,0.00015455876,0.0004883739,0.00074421556,0.048169546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990345,0.00039116386,0.00005151718,0.00015331218,0.00029438565,0.00007499538],"domain_scores_gemma":[0.9976562,0.0014875164,0.00016459521,0.00028255908,0.00030054888,0.00010859093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002307504,0.0009363983,0.0014557844,0.0024922146,0.001154649,0.002321058,0.0015516231,0.001362812,0.006300682],"category_scores_gemma":[0.008020814,0.0005243496,0.0010790393,0.0042497152,0.0030727088,0.0062756687,0.0029606307,0.0040575257,0.0009179526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003635067,0.00001406802,0.00010987258,0.00004219712,0.000008976474,0.000029392504,0.000095542375,0.004891646,0.00062168535,0.97566175,0.0008122391,0.0176762],"study_design_scores_gemma":[0.000007895966,0.000024031218,0.00010630966,0.000021673884,0.000013326012,0.00005199691,0.000037340484,0.042637903,0.00059785217,0.9505703,0.0059160427,0.000015354466],"about_ca_topic_score_codex":0.0019780057,"about_ca_topic_score_gemma":0.001716073,"teacher_disagreement_score":0.006300682,"about_ca_system_score_codex":0.0014917146,"about_ca_system_score_gemma":0.0006366264,"threshold_uncertainty_score":0.021077871},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.122594036,0.004319598,0.73170817,0.005433637,0.0014048673,0.00008616367,0.00044690378,0.00042629178,0.13358045],"genre_scores_gemma":[0.8540178,0.0038618848,0.0972708,0.0027992467,0.0023734514,0.00024822928,0.0005366228,0.000503899,0.038388133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9973781,0.000999703,0.00019703968,0.0005908195,0.0005295118,0.0003048375],"domain_scores_gemma":[0.9894856,0.0053447555,0.000563245,0.0013142744,0.0025317457,0.0007603441],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006575986,0.0009489354,0.001477708,0.0027040746,0.001962021,0.0028087439,0.0020878778,0.0016180922,0.0077911085],"category_scores_gemma":[0.021748334,0.0005668622,0.0023742805,0.0017366705,0.004616116,0.011943647,0.006157274,0.0064110127,0.0008615584],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032208685,0.000014551387,0.0003093997,0.0000683464,0.000016782711,0.00008113806,0.00018518388,0.00087604416,0.00058719906,0.99043196,0.0011705935,0.0062266565],"study_design_scores_gemma":[0.0000068956697,0.0000322098,0.00046841858,0.000032943957,0.000019841496,0.00023050951,0.00008999342,0.01608131,0.00078356743,0.97833884,0.0039002004,0.0000153992],"about_ca_topic_score_codex":0.0011348568,"about_ca_topic_score_gemma":0.0007898588,"teacher_disagreement_score":0.0077911085,"about_ca_system_score_codex":0.0014640208,"about_ca_system_score_gemma":0.0009951859,"threshold_uncertainty_score":0.03477758},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09117936,0.005027979,0.77380013,0.0039686095,0.0011228304,0.000103482984,0.0005064293,0.0005627891,0.1237284],"genre_scores_gemma":[0.83670837,0.00507571,0.104203716,0.0023911404,0.0028956954,0.00032123833,0.00062116614,0.00055835175,0.047224622],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988631,0.00031046063,0.00008694582,0.00028057408,0.00030558178,0.00015345],"domain_scores_gemma":[0.9972337,0.0015297871,0.00020148723,0.00026741845,0.00044351956,0.00032407173],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0041785897,0.0017295716,0.0014934288,0.0034878536,0.0017853319,0.0030608126,0.0018407686,0.0017503542,0.010458111],"category_scores_gemma":[0.007033868,0.0006304546,0.0028714056,0.0025966761,0.005420978,0.010230664,0.0033926375,0.004823949,0.0009259171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018599358,0.000010391399,0.000109064575,0.00004402902,0.000010828515,0.000039816074,0.000116638876,0.00047158852,0.0006078987,0.9941228,0.0009608544,0.0034874463],"study_design_scores_gemma":[0.0000080249365,0.000015948417,0.00016856287,0.000014084525,0.00001774633,0.000064114174,0.000042793807,0.0044379835,0.00042764575,0.99175745,0.0030318554,0.000013812396],"about_ca_topic_score_codex":0.0010687241,"about_ca_topic_score_gemma":0.00096938154,"teacher_disagreement_score":0.010458111,"about_ca_system_score_codex":0.0025308079,"about_ca_system_score_gemma":0.0006831758,"threshold_uncertainty_score":0.03498584},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14264587,0.006114148,0.80277395,0.0026420676,0.00047246294,0.000046234014,0.00039134984,0.00043339384,0.04448057],"genre_scores_gemma":[0.91655123,0.0051150275,0.043763626,0.00090534566,0.00133225,0.00020989028,0.00047550426,0.0003552028,0.03129185],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989286,0.00031795265,0.000052304753,0.00020637391,0.00033255282,0.00016216218],"domain_scores_gemma":[0.99048096,0.006632101,0.00073920866,0.00058150204,0.0010034827,0.00056262186],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033197338,0.0013131928,0.001626045,0.003345122,0.0015414606,0.0033760304,0.0014933208,0.0015539585,0.00466605],"category_scores_gemma":[0.01190071,0.0005864573,0.0020061552,0.0018378105,0.0035350865,0.005727066,0.002898572,0.0043867957,0.0006335836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026214419,0.000011816362,0.00017662255,0.000038496706,0.000024600417,0.000032501644,0.00010711616,0.0039288513,0.0005374514,0.9911513,0.00073812343,0.003226939],"study_design_scores_gemma":[0.000008250687,0.000017022725,0.0002233377,0.000011231908,0.000016801378,0.0000521858,0.00003377137,0.031153252,0.00040804697,0.9668528,0.0012083093,0.000014961009],"about_ca_topic_score_codex":0.0018314699,"about_ca_topic_score_gemma":0.0014614905,"teacher_disagreement_score":0.00466605,"about_ca_system_score_codex":0.0023018136,"about_ca_system_score_gemma":0.001064019,"threshold_uncertainty_score":0.017556667},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.048649836,0.0041895946,0.88122094,0.0035153942,0.0005820474,0.000054260046,0.00016750148,0.00036721595,0.061253376],"genre_scores_gemma":[0.699295,0.004019939,0.20778397,0.0020594692,0.0010797213,0.00020067843,0.00040304605,0.0007447658,0.0844133],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99763536,0.0010662196,0.00011865755,0.0004239539,0.0005337474,0.00022201554],"domain_scores_gemma":[0.99200433,0.0045367586,0.0003517074,0.0012674993,0.0013265302,0.00051321014],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0058934567,0.0014018833,0.0017366648,0.002275155,0.0016839708,0.0032347052,0.0020298827,0.0018850035,0.007631676],"category_scores_gemma":[0.019145167,0.00068240176,0.0019011126,0.0016644337,0.006821341,0.008639488,0.0069374386,0.007700714,0.00095773366],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029579443,0.000008082228,0.00010836647,0.000041458807,0.000008014173,0.000021451004,0.00012917699,0.0017475972,0.0002443124,0.9930147,0.00053353276,0.0041137864],"study_design_scores_gemma":[0.000008047411,0.000021398211,0.00007686049,0.000017555452,0.000008447219,0.000048910417,0.000049751667,0.017152585,0.00036064608,0.97883797,0.0034089435,0.000008974592],"about_ca_topic_score_codex":0.0017903841,"about_ca_topic_score_gemma":0.001404677,"teacher_disagreement_score":0.007631676,"about_ca_system_score_codex":0.0023364695,"about_ca_system_score_gemma":0.0012423339,"threshold_uncertainty_score":0.031167924},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06465829,0.0034615374,0.90333855,0.00255982,0.000546415,0.000062863764,0.00024527597,0.00037266174,0.024754502],"genre_scores_gemma":[0.76521426,0.007849281,0.17120086,0.0010319805,0.0016479258,0.0003250208,0.0007496185,0.0011454554,0.050835613],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99660206,0.0013541155,0.00018387531,0.0005309953,0.0009340457,0.00039483825],"domain_scores_gemma":[0.97465885,0.018312396,0.0011189061,0.001204025,0.0032381646,0.0014676366],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009567805,0.0045277546,0.0038832573,0.0060535357,0.0013863378,0.005516102,0.0035661976,0.0029741628,0.0067246393],"category_scores_gemma":[0.031335313,0.0013379259,0.003174247,0.0024384975,0.007476772,0.014610288,0.010313176,0.009587893,0.0010550523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00024772028,0.00006247964,0.00072576106,0.00034748783,0.00009935528,0.00013556784,0.000496213,0.014861418,0.00529066,0.9639586,0.0016166182,0.012158025],"study_design_scores_gemma":[0.000045126217,0.00015648158,0.0006799662,0.00012236106,0.00014653195,0.0002853063,0.00025467455,0.25780785,0.0043113814,0.731689,0.0044096005,0.00009173076],"about_ca_topic_score_codex":0.002036642,"about_ca_topic_score_gemma":0.0014746723,"teacher_disagreement_score":0.009567805,"about_ca_system_score_codex":0.0038515525,"about_ca_system_score_gemma":0.0014357653,"threshold_uncertainty_score":0.050600052},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.081770875,0.0008696125,0.8731732,0.00051191135,0.0005849887,0.00016874823,0.0007267783,0.0010611563,0.041132744],"genre_scores_gemma":[0.8426639,0.0008572232,0.11432095,0.0006124131,0.0005462777,0.00024867567,0.0010592302,0.00030158088,0.039389778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998716,0.00013185563,0.000071533635,0.0003978306,0.00046784346,0.00021487872],"domain_scores_gemma":[0.9979315,0.00044118325,0.00037249536,0.0004995355,0.00053132145,0.00022401202],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00059369486,0.00097562786,0.0005413832,0.0008020228,0.0007593195,0.0021608719,0.000820731,0.0010845317,0.0118204765],"category_scores_gemma":[0.0041709314,0.00032430197,0.00068875053,0.00070371793,0.0014504617,0.0032728082,0.0015872084,0.0016651106,0.0027500652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031804416,0.0000337976,0.0004287526,0.00010118701,0.000025123576,0.00040217183,0.00022274427,0.006853816,0.027493,0.9236427,0.0039980104,0.03648062],"study_design_scores_gemma":[0.000049528004,0.00020900049,0.0004969589,0.000052166022,0.00002545273,0.0009595986,0.00015938541,0.06675995,0.020360034,0.87425345,0.03661256,0.000061887986],"about_ca_topic_score_codex":0.000858996,"about_ca_topic_score_gemma":0.0005559296,"teacher_disagreement_score":0.0118204765,"about_ca_system_score_codex":0.00076023035,"about_ca_system_score_gemma":0.00071556994,"threshold_uncertainty_score":0.03954339},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.031634238,0.0032265673,0.88003844,0.00547468,0.001088738,0.00005425436,0.00019568625,0.00021570227,0.07807182],"genre_scores_gemma":[0.7174031,0.0048726653,0.18664563,0.0030628697,0.0034523911,0.00035712347,0.00049080234,0.00070982066,0.08300556],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971675,0.0010202252,0.00014510332,0.0005269147,0.00084178656,0.00029850742],"domain_scores_gemma":[0.99180675,0.0049756537,0.00038702396,0.00071506907,0.0014265652,0.0006890479],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00726011,0.0013618221,0.0019150485,0.003333249,0.0026336762,0.0034772658,0.0023869642,0.0025690577,0.00917367],"category_scores_gemma":[0.01552527,0.00074394175,0.0027188421,0.0014565942,0.0071874936,0.010706235,0.006296411,0.008753469,0.0013826729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001707847,0.000013505492,0.000091956004,0.000038346636,0.000013368302,0.0000370225,0.00009051835,0.0003504934,0.00045582687,0.9952028,0.000653424,0.0030356136],"study_design_scores_gemma":[0.000011500706,0.00001958546,0.00013198401,0.000022204878,0.000015249698,0.000094270574,0.000027228622,0.009322722,0.0005359593,0.986967,0.0028398442,0.00001250766],"about_ca_topic_score_codex":0.0008513964,"about_ca_topic_score_gemma":0.0006905319,"teacher_disagreement_score":0.00917367,"about_ca_system_score_codex":0.001988304,"about_ca_system_score_gemma":0.0014541494,"threshold_uncertainty_score":0.038395584},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23337951,0.0052432157,0.71485656,0.0045868196,0.00052779703,0.0001272771,0.00048359114,0.00024970996,0.040545497],"genre_scores_gemma":[0.8491126,0.006987983,0.11392648,0.00085159886,0.0007903827,0.0004116879,0.00060583383,0.00033253097,0.026980948],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99529207,0.0020865984,0.00028495674,0.0007605441,0.0010615455,0.00051425444],"domain_scores_gemma":[0.9637335,0.024647148,0.0022750038,0.0011847183,0.0053609284,0.002798791],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.011351323,0.0023277425,0.00232628,0.0041041058,0.001736197,0.0040628957,0.0032928057,0.0028227686,0.0068898993],"category_scores_gemma":[0.04603741,0.0012575705,0.002517672,0.0024691739,0.007608515,0.012471569,0.007629624,0.006663393,0.0005766483],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017646082,0.000051131603,0.0004187095,0.00013690979,0.000053934247,0.00013194542,0.0005828519,0.007836984,0.002777489,0.98063356,0.0007239103,0.0064761415],"study_design_scores_gemma":[0.00006793752,0.00015497724,0.000903882,0.000071037844,0.00004905004,0.00035504342,0.00041602648,0.11407266,0.0015362207,0.8801787,0.0021197451,0.00007472208],"about_ca_topic_score_codex":0.0040136813,"about_ca_topic_score_gemma":0.0020198394,"teacher_disagreement_score":0.011351323,"about_ca_system_score_codex":0.0035046425,"about_ca_system_score_gemma":0.0028841277,"threshold_uncertainty_score":0.06003225},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0501737,0.002395801,0.9330128,0.0011142131,0.00021596876,0.000040168725,0.00012509545,0.00012007021,0.012802117],"genre_scores_gemma":[0.83799744,0.0056784204,0.1216903,0.0009958855,0.0012407536,0.00030537095,0.00049058086,0.00038415022,0.031217147],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99762005,0.0011423134,0.00012962939,0.00030696252,0.0006055977,0.00019549741],"domain_scores_gemma":[0.9853977,0.009371186,0.0012389458,0.0007947032,0.0025127635,0.00068466284],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0069957315,0.00143075,0.0016997489,0.002882865,0.00095827034,0.0026856395,0.002264723,0.0016426601,0.004098825],"category_scores_gemma":[0.019351264,0.0006699191,0.0022208812,0.002088345,0.0045505743,0.005434523,0.0041178865,0.0034429156,0.0005232323],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003125746,0.000025485258,0.0003232976,0.00009727153,0.00004658876,0.000078110235,0.00017521769,0.025332868,0.0007716957,0.96772915,0.0007186337,0.0046704113],"study_design_scores_gemma":[0.0000092686605,0.000030990584,0.00033910337,0.000027544784,0.000019926078,0.0001535112,0.00007576503,0.2949575,0.00037517305,0.7028551,0.0011303386,0.000025839357],"about_ca_topic_score_codex":0.0019992418,"about_ca_topic_score_gemma":0.0012067708,"teacher_disagreement_score":0.0069957315,"about_ca_system_score_codex":0.0017893738,"about_ca_system_score_gemma":0.0012900844,"threshold_uncertainty_score":0.036997437},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5704516,0.005209525,0.36632118,0.0010458537,0.0002875862,0.00008045806,0.00031542347,0.00016915739,0.056119177],"genre_scores_gemma":[0.94081515,0.0013779696,0.043670986,0.00021383514,0.00017442365,0.000105153566,0.00032753788,0.000058865262,0.013256179],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99909043,0.00023082137,0.000059219376,0.00017166167,0.00028982817,0.00015811197],"domain_scores_gemma":[0.99874485,0.00035421862,0.00023284397,0.00007643952,0.0003452809,0.00024632376],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011466345,0.0007025653,0.0006223518,0.0025385043,0.0010653493,0.0022194625,0.0008523888,0.00073764543,0.0034579013],"category_scores_gemma":[0.0030061402,0.00020519464,0.000639982,0.0012738197,0.0020103862,0.0047973087,0.0017937645,0.0018405145,0.0004752109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037520178,0.00001123228,0.00031649487,0.000041786545,0.00000830949,0.00006918432,0.00025652885,0.001008282,0.0018112635,0.99071854,0.00018495222,0.0055359844],"study_design_scores_gemma":[0.000026936974,0.00015125866,0.0010770357,0.000042268104,0.000023772,0.00044937883,0.0005284615,0.022600703,0.0041790693,0.9587129,0.012162376,0.0000459294],"about_ca_topic_score_codex":0.00072554726,"about_ca_topic_score_gemma":0.00034837736,"teacher_disagreement_score":0.0034579013,"about_ca_system_score_codex":0.0014526346,"about_ca_system_score_gemma":0.00051375246,"threshold_uncertainty_score":0.011567831},"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":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28006652,0.0030846274,0.64590544,0.0031176296,0.0004953043,0.000075735465,0.00056984014,0.000200562,0.066484354],"genre_scores_gemma":[0.87272716,0.002273789,0.09083107,0.0006338546,0.00044701324,0.00021043021,0.0006628191,0.00012956197,0.03208427],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99796546,0.0005808988,0.000106251086,0.00030084973,0.00083830464,0.00020822503],"domain_scores_gemma":[0.98945403,0.007258916,0.0008150669,0.00054145855,0.0013088341,0.0006217358],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020262317,0.00076108536,0.001103002,0.0027232636,0.001336252,0.0034924787,0.0018563203,0.001657044,0.0044825],"category_scores_gemma":[0.01492331,0.0005454926,0.00087268103,0.0021188024,0.0034490167,0.004272407,0.0026563106,0.003348744,0.00059212046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003981148,0.000011992408,0.00013374179,0.000018732188,0.0000052244905,0.000020889454,0.000083457235,0.00396585,0.00040363116,0.9915937,0.00030443454,0.0034185792],"study_design_scores_gemma":[0.000014742228,0.000028647184,0.00024551948,0.000023317065,0.000006249263,0.00006449379,0.000061766485,0.050422836,0.0005901935,0.94676346,0.0017593403,0.00001954815],"about_ca_topic_score_codex":0.0018443028,"about_ca_topic_score_gemma":0.0010876325,"teacher_disagreement_score":0.0044825,"about_ca_system_score_codex":0.0029739044,"about_ca_system_score_gemma":0.001036858,"threshold_uncertainty_score":0.021577239},"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":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0028550273,0.00071052136,0.23759744,0.006590111,0.0028249682,0.0002803516,0.06397124,0.04112114,0.64404917],"genre_scores_gemma":[0.032557547,0.0023257714,0.16413711,0.0017228798,0.0012608867,0.0005543665,0.086539626,0.053413406,0.6574884],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992488,0.00017167463,0.00009171247,0.0001254691,0.000312369,0.00004996145],"domain_scores_gemma":[0.9970892,0.000866812,0.00016583627,0.00068290567,0.000916073,0.0002792477],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0009929049,0.0010070307,0.00077094714,0.0019399177,0.00074875326,0.0047686123,0.0016033562,0.0009766965,0.4154606],"category_scores_gemma":[0.0055232765,0.0007290016,0.0006981605,0.0029644165,0.00075647864,0.006580087,0.0018183334,0.0024657995,0.3237381],"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":[0.000078896315,0.00003284274,0.00015686608,0.0002567061,0.0000072513453,0.00004563827,0.00020329445,0.0002996964,0.0021197188,0.08663918,0.8439162,0.06624363],"study_design_scores_gemma":[0.0000209314,0.000015883805,0.00033861768,0.000059501952,0.0000039903493,0.00010637904,0.000079333404,0.0015325487,0.0036453349,0.028933285,0.96523863,0.000025578856],"about_ca_topic_score_codex":0.0038921784,"about_ca_topic_score_gemma":0.003964107,"teacher_disagreement_score":0.4154606,"about_ca_system_score_codex":0.0013069367,"about_ca_system_score_gemma":0.00110978,"threshold_uncertainty_score":0.8337745},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01819345,0.0014752056,0.9574348,0.0006992163,0.00044537903,0.000030323976,0.0001532143,0.00029528604,0.021273144],"genre_scores_gemma":[0.596567,0.0040854136,0.35644016,0.0010470249,0.0031122307,0.00022868866,0.0004725925,0.0005595506,0.037487444],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99912256,0.00020056994,0.00005571878,0.00026091828,0.00027831935,0.00008184641],"domain_scores_gemma":[0.99745506,0.0011494077,0.00028930878,0.00032405433,0.0005157118,0.0002665321],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014997663,0.001213455,0.00091791066,0.0023570734,0.0011346391,0.0023806489,0.0011910099,0.0012934444,0.006552127],"category_scores_gemma":[0.006143307,0.00042087559,0.001250544,0.0019310721,0.0028470708,0.005076674,0.002253533,0.0026884826,0.0012725397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023801009,0.000010733511,0.00012426708,0.00003426054,0.000009113914,0.000049139933,0.00009829754,0.0014091999,0.00153968,0.9835926,0.0012975654,0.011811385],"study_design_scores_gemma":[0.000008367813,0.000039701386,0.000107957334,0.000014848756,0.000009752123,0.00018546607,0.00004064315,0.01896866,0.0010953789,0.9706035,0.008909964,0.000015763155],"about_ca_topic_score_codex":0.00093147624,"about_ca_topic_score_gemma":0.0006078511,"teacher_disagreement_score":0.006552127,"about_ca_system_score_codex":0.0008946864,"about_ca_system_score_gemma":0.00054215785,"threshold_uncertainty_score":0.021919072},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.060912177,0.003937734,0.8713572,0.0036215354,0.0010566266,0.00009143368,0.00032554474,0.00014410405,0.058553644],"genre_scores_gemma":[0.7413422,0.008089146,0.17644453,0.002362719,0.0027520251,0.00062065356,0.00063954777,0.00044530054,0.06730388],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99758685,0.0012742346,0.00012470511,0.0002970109,0.00054415787,0.0001729425],"domain_scores_gemma":[0.98680174,0.0092934985,0.0007779228,0.0007281144,0.0014649002,0.0009338329],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009459146,0.002915815,0.002185282,0.0038723398,0.0012162778,0.0044690864,0.0028314793,0.002923443,0.00769288],"category_scores_gemma":[0.0207174,0.0012358027,0.0023565544,0.0028914323,0.004535397,0.011530259,0.006224875,0.008920721,0.0009824538],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007175055,0.000032101838,0.0001675903,0.00007098839,0.000023306218,0.00006586612,0.00013273538,0.0030385735,0.0011026604,0.9902344,0.00081806356,0.004241907],"study_design_scores_gemma":[0.000039560175,0.000069065856,0.00024802383,0.000043690216,0.000031426447,0.00012812486,0.000066360975,0.0697581,0.0006394182,0.9257454,0.0032017531,0.00002895783],"about_ca_topic_score_codex":0.0009278256,"about_ca_topic_score_gemma":0.0008548497,"teacher_disagreement_score":0.009459146,"about_ca_system_score_codex":0.0024388141,"about_ca_system_score_gemma":0.0013009264,"threshold_uncertainty_score":0.050025403},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.09054205,0.0005125448,0.87698144,0.0009316206,0.00045299786,0.000047298043,0.00010964054,0.0002418086,0.030180639],"genre_scores_gemma":[0.85592055,0.000824669,0.1159944,0.00056219473,0.0004209369,0.00009914675,0.00016349234,0.00021232977,0.025802284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992988,0.00017113528,0.000024875457,0.00012437587,0.00028679043,0.000093999945],"domain_scores_gemma":[0.99946135,0.00017879005,0.00006695382,0.000078383244,0.00011667202,0.0000979091],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011962127,0.000484649,0.00070826407,0.00096643606,0.0009400075,0.0010306152,0.00078906625,0.0007621566,0.0042612785],"category_scores_gemma":[0.001936739,0.00021053888,0.0011750965,0.00067836954,0.0020340425,0.0025285135,0.0023697906,0.0025548004,0.00077315717],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033881955,0.000018666764,0.00020369927,0.000048968268,0.000014844013,0.00007647536,0.00019519245,0.0032114699,0.0036020149,0.9840481,0.00057594845,0.007970728],"study_design_scores_gemma":[0.000024746716,0.00015096214,0.00037763888,0.000024795572,0.000027760321,0.00029882326,0.00016056202,0.074653685,0.0041653714,0.9099544,0.010131113,0.000029973871],"about_ca_topic_score_codex":0.00064396753,"about_ca_topic_score_gemma":0.000332675,"teacher_disagreement_score":0.0042612785,"about_ca_system_score_codex":0.00064662466,"about_ca_system_score_gemma":0.00055228727,"threshold_uncertainty_score":0.0142554045},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23381227,0.00059837295,0.7277555,0.0007997793,0.00023136442,0.000048603713,0.0001895544,0.0002614694,0.036303163],"genre_scores_gemma":[0.8989715,0.0005897816,0.06259057,0.00033731252,0.00026292432,0.00012854738,0.00021790602,0.00015093695,0.03675054],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99937385,0.000148367,0.000026022279,0.00013297543,0.00020954714,0.00010924186],"domain_scores_gemma":[0.99811435,0.0006385704,0.00037059622,0.00015409873,0.00046023593,0.00026213974],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009082962,0.00057907857,0.0004861458,0.00096430595,0.0006223159,0.0017956404,0.0007478698,0.0005887743,0.005999545],"category_scores_gemma":[0.0031173087,0.00024675505,0.0005805768,0.0007480012,0.0014079831,0.0018720048,0.0010921276,0.0012945585,0.00076007785],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008743173,0.000021904425,0.00023258518,0.000046070338,0.000015268219,0.00012250243,0.00013842477,0.0062206825,0.0064381855,0.975393,0.0016063077,0.009677603],"study_design_scores_gemma":[0.00001583911,0.000071827926,0.0005992107,0.000021680942,0.000010551485,0.0002658649,0.00010109463,0.1545903,0.0033373255,0.8372429,0.0037178795,0.000025500512],"about_ca_topic_score_codex":0.0013034386,"about_ca_topic_score_gemma":0.001068519,"teacher_disagreement_score":0.005999545,"about_ca_system_score_codex":0.0011437116,"about_ca_system_score_gemma":0.0007612188,"threshold_uncertainty_score":0.020070434},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2158521,0.0017291905,0.7287625,0.00087538804,0.00028267843,0.00005738841,0.00022573648,0.00037745334,0.05183763],"genre_scores_gemma":[0.9074327,0.0006831156,0.079820946,0.00014840528,0.00021230703,0.000061587205,0.0001942582,0.00009727654,0.011349421],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968503,0.00069787714,0.00013880394,0.00056141225,0.0013446085,0.000407053],"domain_scores_gemma":[0.99597603,0.0020152025,0.0003604632,0.0005996061,0.0007814884,0.00026725727],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024270017,0.0006890745,0.0011869401,0.002802046,0.0011731035,0.0027148782,0.0015104164,0.0008575304,0.0041277716],"category_scores_gemma":[0.007730185,0.0004073387,0.0017276001,0.0020959945,0.0029899846,0.0037979612,0.0051284465,0.002911082,0.00065636437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012403521,0.000023046512,0.00053271616,0.00009444123,0.000029439292,0.00013989705,0.00032490905,0.011459978,0.0035867272,0.96606666,0.0005532893,0.017064843],"study_design_scores_gemma":[0.000018111386,0.000089066125,0.00046669735,0.000040812458,0.000024224873,0.00024339816,0.00016291933,0.13335323,0.0030158567,0.85644597,0.0061103376,0.000029417788],"about_ca_topic_score_codex":0.0019325498,"about_ca_topic_score_gemma":0.0012682038,"teacher_disagreement_score":0.0041277716,"about_ca_system_score_codex":0.0016116956,"about_ca_system_score_gemma":0.00073264574,"threshold_uncertainty_score":0.013808787},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.007943441,0.00006616713,0.9907925,0.00004734365,0.00002267761,0.000010428721,0.000011100131,0.00005694592,0.001049489],"genre_scores_gemma":[0.39172384,0.0004029368,0.6052541,0.00006353517,0.00007492458,0.00008098158,0.00010303201,0.00010521554,0.002191414],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982108,0.0004941338,0.00007667061,0.00023581956,0.0008187469,0.00016393203],"domain_scores_gemma":[0.99852425,0.0005617871,0.00014438244,0.00026662933,0.00040614672,0.00009684212],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021784937,0.0007448281,0.00091229903,0.0013308871,0.0004846714,0.0014702806,0.0013787971,0.000778119,0.0017893142],"category_scores_gemma":[0.0058572916,0.00033824262,0.0010812655,0.0013286347,0.0012628922,0.002882931,0.0025032347,0.0017645638,0.0004786676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000273271,0.000088854256,0.0011217233,0.0001688093,0.00006168317,0.00012399022,0.00023244087,0.21739064,0.029704094,0.5906965,0.0012851027,0.15885273],"study_design_scores_gemma":[0.000014663583,0.00007320843,0.00015976791,0.000010939125,0.000013830157,0.00011177088,0.00002580553,0.9259438,0.005352689,0.06649014,0.0017774141,0.000025916588],"about_ca_topic_score_codex":0.0011237828,"about_ca_topic_score_gemma":0.00084065855,"teacher_disagreement_score":0.0021784937,"about_ca_system_score_codex":0.00085948105,"about_ca_system_score_gemma":0.00117426,"threshold_uncertainty_score":0.011521101},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10977711,0.003497982,0.8674367,0.0018097586,0.00034021743,0.000051433235,0.00021141027,0.00021167495,0.016663786],"genre_scores_gemma":[0.88295126,0.0048837373,0.093091354,0.00095084246,0.0013193733,0.00020306645,0.0005665253,0.00029266256,0.015741251],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99621296,0.001599066,0.00022613264,0.0005084837,0.0009826455,0.00047075332],"domain_scores_gemma":[0.97462136,0.016104586,0.0028327005,0.0021277242,0.0026148949,0.0016986764],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008612824,0.0019060321,0.0029973313,0.0045976113,0.0022962552,0.0044292905,0.003298714,0.0029763808,0.0034297702],"category_scores_gemma":[0.02568534,0.0010453231,0.0024849891,0.0045355354,0.007967899,0.009942533,0.0044595837,0.006054729,0.0006177571],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042056898,0.00003156953,0.00036661536,0.00007863732,0.000041752057,0.000044486856,0.00010350117,0.011069205,0.00050675735,0.98486406,0.0005604178,0.0022909222],"study_design_scores_gemma":[0.00001234371,0.0000234975,0.00029604585,0.000020392952,0.000022305363,0.0000800494,0.00005264257,0.1317121,0.0004084449,0.8666738,0.0006633079,0.00003501124],"about_ca_topic_score_codex":0.0020924937,"about_ca_topic_score_gemma":0.001398954,"teacher_disagreement_score":0.008612824,"about_ca_system_score_codex":0.0030052087,"about_ca_system_score_gemma":0.002389892,"threshold_uncertainty_score":0.045549512},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21976256,0.0027450705,0.7559878,0.0012465646,0.0002467312,0.000030626303,0.0001384076,0.0001649073,0.019677294],"genre_scores_gemma":[0.8902131,0.0014949014,0.097330496,0.00017727278,0.00019620474,0.000057380286,0.00018238479,0.00009102952,0.010257184],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863005,0.0005804773,0.00006659189,0.00025713097,0.00034332502,0.00012247493],"domain_scores_gemma":[0.9954732,0.002640832,0.00043050066,0.00051858067,0.0006248899,0.00031188424],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004574852,0.0006350275,0.0008920337,0.0018207307,0.0005955912,0.0013833105,0.0010383812,0.00065914774,0.0017567831],"category_scores_gemma":[0.010109433,0.00028453313,0.001197157,0.001117832,0.0028334793,0.0027413329,0.002253591,0.0022914,0.000214407],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017820841,0.000030283512,0.0015550546,0.000099363264,0.00004401966,0.00012571718,0.00028098247,0.03899491,0.0023453075,0.9419161,0.00068732206,0.013742601],"study_design_scores_gemma":[0.000023410683,0.00009018976,0.0011038521,0.00005842318,0.000042023203,0.00014734542,0.0001354185,0.41882062,0.001741366,0.5729668,0.0048457757,0.000024770485],"about_ca_topic_score_codex":0.0023111976,"about_ca_topic_score_gemma":0.0012456321,"teacher_disagreement_score":0.004574852,"about_ca_system_score_codex":0.0020146929,"about_ca_system_score_gemma":0.0009167473,"threshold_uncertainty_score":0.02419442},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.008727112,0.0013318784,0.968312,0.00063317304,0.00027221098,0.000024089926,0.000108381784,0.00043203795,0.020159049],"genre_scores_gemma":[0.60243696,0.0037623069,0.32726482,0.0006907977,0.0017471483,0.00021326345,0.0010783225,0.0007297948,0.062076617],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99702114,0.0009076512,0.00010913644,0.0006075137,0.0011207376,0.00023375369],"domain_scores_gemma":[0.9953875,0.0018693092,0.00033368162,0.0012147492,0.00093821116,0.00025657317],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021989567,0.0016393454,0.0017954415,0.0022308433,0.0010244094,0.003273292,0.001990781,0.0013776951,0.011564738],"category_scores_gemma":[0.010918345,0.0008663124,0.00173686,0.0035400165,0.002279978,0.005895449,0.0046424344,0.005182463,0.002755102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013567838,0.000050687213,0.0005560155,0.00012614838,0.00007732106,0.000064173095,0.0001041517,0.025643338,0.002612031,0.8678102,0.006918798,0.09590151],"study_design_scores_gemma":[0.000020503821,0.0000637535,0.0005115773,0.000041058178,0.00007904569,0.00022510056,0.000055939647,0.32984746,0.0034262436,0.6474328,0.018266173,0.000030343313],"about_ca_topic_score_codex":0.0012607937,"about_ca_topic_score_gemma":0.0012373292,"teacher_disagreement_score":0.011564738,"about_ca_system_score_codex":0.0018332597,"about_ca_system_score_gemma":0.0010850539,"threshold_uncertainty_score":0.038687885},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.057157226,0.005155242,0.910989,0.0031715378,0.000708546,0.00009199446,0.00029967583,0.00034125106,0.02208563],"genre_scores_gemma":[0.65932745,0.008300353,0.28599426,0.0018743193,0.0018941168,0.00066414085,0.0010226949,0.00079933775,0.04012328],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99645257,0.0014229955,0.00021484283,0.00037630997,0.0011968979,0.00033632416],"domain_scores_gemma":[0.97661614,0.016524155,0.0011192232,0.0012184212,0.0031736996,0.0013484184],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.010412524,0.003195346,0.002781527,0.005336071,0.001458816,0.0046471166,0.0037497822,0.0033278214,0.010366792],"category_scores_gemma":[0.031361442,0.0012759439,0.0034841376,0.0027393717,0.0047948053,0.012099804,0.009330002,0.012119701,0.0012776192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001513986,0.00004956258,0.0005761641,0.00022754277,0.000080727594,0.000111978734,0.00039612284,0.009327817,0.0025817552,0.9699054,0.0019389373,0.014652592],"study_design_scores_gemma":[0.000033783836,0.00012472756,0.0005707801,0.0000987096,0.00008462483,0.00019657426,0.00017032003,0.12825751,0.0015144618,0.86392653,0.0049634357,0.00005856543],"about_ca_topic_score_codex":0.0021397236,"about_ca_topic_score_gemma":0.0014167448,"teacher_disagreement_score":0.010412524,"about_ca_system_score_codex":0.0032359941,"about_ca_system_score_gemma":0.0014513514,"threshold_uncertainty_score":0.05506736},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010234415,0.0015262604,0.90763915,0.0010983474,0.00093795476,0.000046328267,0.0011257331,0.0021150585,0.07527685],"genre_scores_gemma":[0.27655005,0.002872608,0.57249826,0.00053882744,0.0006609758,0.0001281288,0.0039775935,0.0046687257,0.1381049],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990189,0.00027711826,0.00006542733,0.00017507124,0.00037096583,0.000092595415],"domain_scores_gemma":[0.99837,0.0005996546,0.00010849279,0.0004134274,0.00042351577,0.00008486333],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017740822,0.00082082604,0.0008495059,0.0018535339,0.00088299287,0.0030025395,0.0010781562,0.00081858115,0.03815486],"category_scores_gemma":[0.0062890793,0.0004080089,0.0014451611,0.002636423,0.0011778476,0.0037298878,0.002030183,0.0033267303,0.012407549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023045711,0.00004932585,0.0005250121,0.00021139425,0.000033621465,0.000106830244,0.00028350248,0.009090826,0.0032741395,0.84634715,0.025973275,0.1138744],"study_design_scores_gemma":[0.000034094108,0.00007825057,0.00092224835,0.00013829596,0.0000430791,0.00035879487,0.00021034491,0.15686764,0.011248665,0.677028,0.15300456,0.00006596111],"about_ca_topic_score_codex":0.0027150114,"about_ca_topic_score_gemma":0.0030531136,"teacher_disagreement_score":0.03815486,"about_ca_system_score_codex":0.0012361329,"about_ca_system_score_gemma":0.0008573863,"threshold_uncertainty_score":0.12764078},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.056692846,0.005333406,0.8861034,0.004179688,0.0016809512,0.00003469689,0.0003853045,0.00048056207,0.045109067],"genre_scores_gemma":[0.7653549,0.008831033,0.14438517,0.0009819139,0.0037682643,0.0001488283,0.0011128887,0.00076223235,0.07465461],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982863,0.0006026519,0.0000919873,0.00035629986,0.00054290553,0.00011985398],"domain_scores_gemma":[0.9947351,0.002085595,0.0005159916,0.0009988379,0.0012337882,0.00043066868],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028049801,0.0011585663,0.0019862659,0.0025660612,0.0011506759,0.0038486945,0.0012262914,0.0013931931,0.009242636],"category_scores_gemma":[0.015523872,0.0005604305,0.0010799222,0.0030486218,0.0022184702,0.007677229,0.002979875,0.0040182793,0.0012906091],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025105703,0.000016415333,0.00028675294,0.000030469473,0.000024950366,0.000017834302,0.00005318513,0.0034736241,0.00042145327,0.9783971,0.0027488722,0.014504144],"study_design_scores_gemma":[0.000006209547,0.000021945101,0.0003980012,0.000018412395,0.00003108246,0.00011480135,0.000043991047,0.06288067,0.00054256426,0.9285202,0.0074070757,0.000015057569],"about_ca_topic_score_codex":0.0010612519,"about_ca_topic_score_gemma":0.000756328,"teacher_disagreement_score":0.009242636,"about_ca_system_score_codex":0.0015553746,"about_ca_system_score_gemma":0.00080187386,"threshold_uncertainty_score":0.030919671},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10121587,0.0034199893,0.69138753,0.009605365,0.0013536559,0.00012973655,0.00047339086,0.00024061989,0.19217378],"genre_scores_gemma":[0.8690768,0.0020928455,0.09764445,0.0019822223,0.0013771282,0.00031266283,0.0006738983,0.00028509382,0.026554931],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9869595,0.004902487,0.0008905748,0.0019278995,0.003247729,0.0020718453],"domain_scores_gemma":[0.9712822,0.019876858,0.0012227121,0.0026771768,0.003468531,0.0014726011],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.015167495,0.0011562313,0.00213276,0.0027238335,0.0030455247,0.0057596536,0.0032401062,0.0031415964,0.011540327],"category_scores_gemma":[0.051448476,0.0010936616,0.0024693063,0.0026491513,0.009549878,0.015802987,0.008797357,0.009756168,0.0015944358],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038374972,0.0000061907845,0.0001248756,0.00001877642,0.000007220793,0.00007196584,0.00014128805,0.00020483356,0.00025328112,0.9968817,0.00068361644,0.0015679044],"study_design_scores_gemma":[0.000015104782,0.000010127224,0.00011723461,0.000014760171,0.000008625195,0.00009366263,0.00008734865,0.0030206412,0.0003300168,0.9941322,0.0021570907,0.000013213959],"about_ca_topic_score_codex":0.0030120597,"about_ca_topic_score_gemma":0.0014533458,"teacher_disagreement_score":0.015167495,"about_ca_system_score_codex":0.0025718503,"about_ca_system_score_gemma":0.0012682913,"threshold_uncertainty_score":0.08021432},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012904799,0.00073380745,0.9703277,0.00036618396,0.00016908308,0.000019565321,0.00031321688,0.00059929385,0.014566258],"genre_scores_gemma":[0.34840718,0.0031522189,0.59291095,0.00037957798,0.00035271508,0.00013408861,0.0022760252,0.0022213524,0.050165825],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905914,0.00031941663,0.000056564466,0.00012689798,0.0003809767,0.000056961642],"domain_scores_gemma":[0.9978387,0.0011029271,0.00014995766,0.00034632487,0.0004567022,0.00010543356],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016424365,0.0007644085,0.00079190044,0.0012032303,0.00036470755,0.0024276841,0.0007307286,0.0006325681,0.012710202],"category_scores_gemma":[0.007892619,0.00054058764,0.0010674538,0.001515238,0.0010197335,0.002131501,0.0015258176,0.00210602,0.0042456253],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00030653388,0.0000655462,0.00093252026,0.00029929727,0.00006583432,0.0001712588,0.00027172008,0.08744357,0.0077569345,0.68833625,0.018864602,0.1954859],"study_design_scores_gemma":[0.000018038112,0.00007648376,0.0007080341,0.000068809946,0.000024717094,0.00018269244,0.00008153947,0.69858915,0.0033616466,0.2713995,0.025457192,0.000032191518],"about_ca_topic_score_codex":0.0023330562,"about_ca_topic_score_gemma":0.0026470872,"teacher_disagreement_score":0.012710202,"about_ca_system_score_codex":0.0006151388,"about_ca_system_score_gemma":0.00073923863,"threshold_uncertainty_score":0.042519927},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16102925,0.0095742205,0.71822244,0.0051939734,0.0015519559,0.00008692728,0.00030903306,0.00032863318,0.10370368],"genre_scores_gemma":[0.8511475,0.0092118345,0.08687434,0.0015922565,0.0016360366,0.00015917578,0.0004387605,0.00038503754,0.048555154],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99766976,0.0010409307,0.00011007341,0.00028816648,0.0006158166,0.00027518158],"domain_scores_gemma":[0.99359596,0.003868308,0.00043026183,0.0004411134,0.0009799054,0.00068442675],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005196751,0.0015316468,0.0018809509,0.0032115532,0.0016340299,0.0034139936,0.0022020077,0.0020655273,0.0067755794],"category_scores_gemma":[0.015704976,0.000706782,0.0016756488,0.003091227,0.0059210495,0.009412706,0.0052495156,0.004772273,0.00097095757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000033859138,0.0000101017295,0.0001256612,0.00003479682,0.00000919402,0.000020016942,0.0001231725,0.0017724728,0.00033388368,0.9938412,0.0005415567,0.0031541444],"study_design_scores_gemma":[0.000013955336,0.000022279859,0.00015155695,0.000027045,0.000011590175,0.000047604124,0.0000677535,0.019310324,0.00022754536,0.97787696,0.0022265362,0.00001687741],"about_ca_topic_score_codex":0.0038373617,"about_ca_topic_score_gemma":0.0017617195,"teacher_disagreement_score":0.0067755794,"about_ca_system_score_codex":0.0032547675,"about_ca_system_score_gemma":0.0015627487,"threshold_uncertainty_score":0.027483344},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.55852175,0.00054369675,0.42221203,0.00065372686,0.00008221057,0.000027082933,0.00007669221,0.00025500095,0.017627789],"genre_scores_gemma":[0.9739864,0.00024588717,0.021616388,0.000048446687,0.000043339864,0.000018209554,0.000047204747,0.000043594264,0.0039505456],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992187,0.00025083605,0.000037527054,0.00012441371,0.00025546033,0.00011298607],"domain_scores_gemma":[0.9988826,0.00046399748,0.00021495351,0.000117667034,0.00016433297,0.00015649747],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015011143,0.00062874774,0.00051686267,0.0012335359,0.000411172,0.0023644012,0.00066411746,0.0005971879,0.002086004],"category_scores_gemma":[0.0029990573,0.0002815199,0.0005594459,0.0005835012,0.0023596091,0.00275826,0.0018817603,0.0014399943,0.0003209457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001104821,0.000022155544,0.00087571447,0.000053039374,0.000016825596,0.00013206693,0.00027600315,0.010104165,0.007961371,0.97292626,0.0003475633,0.00717427],"study_design_scores_gemma":[0.00003108244,0.00013465682,0.0010580167,0.000032631327,0.000019085708,0.00027514665,0.00027822994,0.21827388,0.007822756,0.76932293,0.0027219786,0.000029626055],"about_ca_topic_score_codex":0.00047007037,"about_ca_topic_score_gemma":0.00023200385,"teacher_disagreement_score":0.0023644012,"about_ca_system_score_codex":0.0011579627,"about_ca_system_score_gemma":0.0002992107,"threshold_uncertainty_score":0.008401692},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14378971,0.009632078,0.73296535,0.010962378,0.0018876697,0.00006317687,0.00029760422,0.00028498855,0.10011708],"genre_scores_gemma":[0.8469816,0.005764287,0.11330652,0.0010292665,0.002751446,0.00009733293,0.00028245506,0.00030124732,0.029485833],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986545,0.00041278533,0.00011939908,0.00025237835,0.00044904486,0.00011184195],"domain_scores_gemma":[0.99589074,0.0015659349,0.0006365568,0.0006910273,0.000666332,0.0005493857],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0037945653,0.001088527,0.0010559321,0.006044344,0.0014838221,0.005516445,0.0018312382,0.0025724752,0.007110338],"category_scores_gemma":[0.012602826,0.0006084209,0.0009925985,0.003791409,0.0055359337,0.015155902,0.0046937917,0.0055649383,0.0005684605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000061859005,0.0000034547272,0.000060752947,0.000016000187,0.0000030123588,0.000013371603,0.00004331408,0.0003665614,0.00020124015,0.99616843,0.00026415082,0.0028534683],"study_design_scores_gemma":[0.0000043701966,0.000013472777,0.0001325369,0.000022632024,0.00000757968,0.000098453056,0.00006923386,0.01075572,0.0003141515,0.984774,0.0037978909,0.000009960756],"about_ca_topic_score_codex":0.0007541512,"about_ca_topic_score_gemma":0.0006195702,"teacher_disagreement_score":0.007110338,"about_ca_system_score_codex":0.002461172,"about_ca_system_score_gemma":0.00073076,"threshold_uncertainty_score":0.023786426},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2243582,0.0016978743,0.74108255,0.00068073,0.00022082811,0.00005729716,0.0003188093,0.0003590662,0.031224662],"genre_scores_gemma":[0.9621258,0.00080209906,0.030247074,0.00022865424,0.00044218707,0.00011844078,0.00022138185,0.00019512506,0.005619366],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900824,0.00026728163,0.000054926033,0.0002894356,0.00024643974,0.00013374632],"domain_scores_gemma":[0.9952775,0.0025370484,0.00058211765,0.0003911054,0.00065497204,0.0005572986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027989312,0.0007189565,0.001002109,0.002255173,0.00094227516,0.0013951223,0.0010914422,0.00072502234,0.005909528],"category_scores_gemma":[0.008827799,0.00025114082,0.0010302563,0.00091573026,0.0040776846,0.0044413577,0.0027053682,0.002116809,0.00054319884],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001374683,0.000040926967,0.002050009,0.00024206273,0.000042154184,0.0003958885,0.0004496867,0.0072385045,0.012472092,0.9611757,0.0009941949,0.01476134],"study_design_scores_gemma":[0.00003505862,0.00019260612,0.0031517893,0.000074054515,0.00006468161,0.00072282256,0.000263646,0.09373497,0.0122602405,0.88588566,0.0035485404,0.0000658782],"about_ca_topic_score_codex":0.000544914,"about_ca_topic_score_gemma":0.00036414928,"teacher_disagreement_score":0.005909528,"about_ca_system_score_codex":0.0008363836,"about_ca_system_score_gemma":0.00037074182,"threshold_uncertainty_score":0.01976937},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.10725521,0.001066463,0.8253014,0.0015062756,0.00026876823,0.00005971838,0.0005355452,0.00080877636,0.06319784],"genre_scores_gemma":[0.75439626,0.0015407081,0.1709559,0.00067204074,0.00069383427,0.00028110782,0.0013599639,0.0015794238,0.068520784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987985,0.0003383281,0.00005542908,0.00028829175,0.00035062805,0.00016878633],"domain_scores_gemma":[0.99718505,0.0010770906,0.00030351125,0.0002885959,0.0007224086,0.0004234058],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017907217,0.0011397022,0.0007977616,0.0022380915,0.0012598837,0.002827329,0.0015204048,0.001140306,0.013493401],"category_scores_gemma":[0.007698852,0.00045876292,0.0011468732,0.0013529378,0.0028762973,0.003966559,0.0029504097,0.002213341,0.0030600093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002174692,0.0000079043475,0.00010632097,0.000035007008,0.000008211128,0.000027803942,0.000094398485,0.002901869,0.0005768989,0.9893294,0.0017048987,0.005185591],"study_design_scores_gemma":[0.000005983781,0.000017038046,0.00029856843,0.000019533061,0.000004673918,0.00003781495,0.00004269295,0.03642503,0.000606133,0.95955145,0.0029717053,0.000019329462],"about_ca_topic_score_codex":0.0036635066,"about_ca_topic_score_gemma":0.0028892336,"teacher_disagreement_score":0.013493401,"about_ca_system_score_codex":0.0016663475,"about_ca_system_score_gemma":0.0013429493,"threshold_uncertainty_score":0.04513991},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.46424672,0.0052604494,0.48107755,0.008250678,0.00048344306,0.00005946358,0.000998007,0.00036715993,0.03925662],"genre_scores_gemma":[0.96348906,0.0019986564,0.026937276,0.0003895939,0.00036574132,0.000035510275,0.00041588416,0.00016553777,0.0062027546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975017,0.0007892064,0.00012273551,0.00052558194,0.00048578007,0.00057508325],"domain_scores_gemma":[0.98376423,0.009586804,0.0018749789,0.0021632141,0.0014630222,0.0011477562],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034119878,0.0006621693,0.001652923,0.0015639003,0.0010251172,0.00647907,0.0016375342,0.0016364129,0.006411644],"category_scores_gemma":[0.025728287,0.00065710675,0.0010383229,0.001418984,0.0049448926,0.009204129,0.0026228714,0.003574734,0.0013347352],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0010216462,0.00008858182,0.006230308,0.0003724124,0.00011682691,0.00008086392,0.00043512008,0.06647094,0.0041413503,0.8528481,0.004118817,0.064075135],"study_design_scores_gemma":[0.000040531373,0.00016434975,0.0053134756,0.0001639465,0.000077974575,0.00038588012,0.00066703145,0.17163806,0.008111093,0.8080763,0.00527779,0.00008357062],"about_ca_topic_score_codex":0.0014156792,"about_ca_topic_score_gemma":0.0012378101,"teacher_disagreement_score":0.00647907,"about_ca_system_score_codex":0.002428987,"about_ca_system_score_gemma":0.0014432438,"threshold_uncertainty_score":0.021449089},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.81331915,0.00465791,0.12579271,0.0043597873,0.00030198589,0.000043925465,0.00025059778,0.00015273747,0.05112113],"genre_scores_gemma":[0.9786063,0.0011095728,0.015410875,0.00015892588,0.0002754746,0.00003214053,0.00011631246,0.000050654504,0.0042398022],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99935037,0.00017570348,0.00005254356,0.00013489007,0.00018024209,0.000106213716],"domain_scores_gemma":[0.992934,0.003953676,0.00090206764,0.00046674546,0.0008936047,0.0008499418],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003151989,0.0007432739,0.0007309794,0.0036356498,0.0012543775,0.0028440494,0.0010893828,0.0013103773,0.003670599],"category_scores_gemma":[0.015416748,0.00048552247,0.00073543546,0.0011273802,0.003303705,0.005361523,0.0032891831,0.002722655,0.00025793363],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00013563271,0.000030785133,0.0031670225,0.00010397199,0.00001926692,0.00016706466,0.00034363885,0.0047481265,0.004084568,0.97784597,0.0008900955,0.0084638735],"study_design_scores_gemma":[0.000024658646,0.00012857077,0.0073261023,0.0001553884,0.00003901351,0.0006177474,0.0005454922,0.09430784,0.0039597335,0.8872794,0.005547246,0.00006887964],"about_ca_topic_score_codex":0.0010650727,"about_ca_topic_score_gemma":0.0006006586,"teacher_disagreement_score":0.003670599,"about_ca_system_score_codex":0.0020499963,"about_ca_system_score_gemma":0.0004184491,"threshold_uncertainty_score":0.016669452},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012566361,0.033131424,0.17923117,0.0054525193,0.0026198325,0.000031267467,0.00048996264,0.00052617124,0.7659513],"genre_scores_gemma":[0.39774612,0.038773876,0.066422716,0.0019098219,0.006000671,0.00013117716,0.001437732,0.00092859677,0.48664927],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99945337,0.00013129447,0.000022462393,0.00009141581,0.0002602883,0.00004103954],"domain_scores_gemma":[0.99965155,0.00011231421,0.00002302843,0.00008553774,0.000087718334,0.00003993843],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00046571752,0.00071968115,0.00086844177,0.0012232116,0.00065446895,0.002974092,0.0005888991,0.0007307965,0.012072373],"category_scores_gemma":[0.0015881942,0.0002757856,0.0005998831,0.0014434487,0.0019604128,0.0030623642,0.0013700749,0.00257986,0.0048363954],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000074456966,0.0000037059285,0.000023045477,0.000030217256,0.0000036143615,0.000007395903,0.000037831956,0.00072154094,0.00021644752,0.97625434,0.008654191,0.014040174],"study_design_scores_gemma":[0.000003257087,0.000008473682,0.00009565222,0.000023331057,0.0000033998763,0.000042803986,0.000024565286,0.004008458,0.00021803472,0.9337989,0.06176835,0.0000046905943],"about_ca_topic_score_codex":0.0016003074,"about_ca_topic_score_gemma":0.0008567783,"teacher_disagreement_score":0.012072373,"about_ca_system_score_codex":0.0016584906,"about_ca_system_score_gemma":0.0006655263,"threshold_uncertainty_score":0.04038614},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2241557,0.0017010473,0.7306649,0.0012639771,0.0005192499,0.00008220162,0.00013054247,0.00024793122,0.041234482],"genre_scores_gemma":[0.9112423,0.0009160867,0.07168312,0.0002755087,0.0005037401,0.0001869635,0.000116428666,0.000079420846,0.014996353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9991999,0.00027406772,0.000051372775,0.00015370871,0.0002444667,0.00007654527],"domain_scores_gemma":[0.9981035,0.00096290454,0.0002992313,0.00013615782,0.0002819053,0.00021626595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010831729,0.0004782061,0.00032372246,0.0010247276,0.0006206426,0.0016142682,0.00057575223,0.0006043804,0.0034967281],"category_scores_gemma":[0.002898456,0.00020686245,0.000539357,0.00052438164,0.0018546837,0.0022443037,0.0013560491,0.0012377865,0.0005779818],"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":[0.000018335175,0.000011372078,0.00008006039,0.00001821987,0.0000036851318,0.00008307936,0.00026437838,0.0013614537,0.0040292577,0.9901294,0.00021247797,0.0037882142],"study_design_scores_gemma":[0.000013273635,0.00006509679,0.00012850748,0.000011862719,0.000004906578,0.00018450573,0.000121311474,0.024280291,0.0029513387,0.9680008,0.0042252135,0.000012829668],"about_ca_topic_score_codex":0.00020824297,"about_ca_topic_score_gemma":0.0001545653,"teacher_disagreement_score":0.0034967281,"about_ca_system_score_codex":0.00048288357,"about_ca_system_score_gemma":0.0003892499,"threshold_uncertainty_score":0.011697769},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26030362,0.0014072398,0.65576786,0.0011468417,0.0005395958,0.00005828649,0.00018959855,0.0004989953,0.08008793],"genre_scores_gemma":[0.93849,0.001218469,0.037698045,0.00023884997,0.00030805278,0.00007756867,0.00021817337,0.00024054752,0.021510256],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983929,0.0004294396,0.00008968451,0.00022105066,0.00057059183,0.0002963177],"domain_scores_gemma":[0.9965379,0.0018330865,0.000296993,0.00043550562,0.0006392087,0.00025730926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019134543,0.00095737464,0.0012613984,0.0023329419,0.001027548,0.004403166,0.0011948615,0.0010689772,0.0055149933],"category_scores_gemma":[0.010265118,0.00047931593,0.0013713764,0.0016295989,0.003229229,0.0035366272,0.0027314955,0.0028335184,0.0013647524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009305285,0.000023384371,0.00055950356,0.000060108665,0.00001841776,0.000109128654,0.00019703535,0.0043776133,0.0022337805,0.9802169,0.0009918379,0.011119223],"study_design_scores_gemma":[0.000040563442,0.00010123743,0.00056210277,0.000053061343,0.00005736035,0.00043567264,0.00019727167,0.1373011,0.0063167703,0.8482269,0.006668,0.000039959858],"about_ca_topic_score_codex":0.0010703657,"about_ca_topic_score_gemma":0.00060930435,"teacher_disagreement_score":0.0055149933,"about_ca_system_score_codex":0.0020512978,"about_ca_system_score_gemma":0.0009170229,"threshold_uncertainty_score":0.018449426},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.33429396,0.0015313661,0.628696,0.0008745226,0.00034963092,0.00006295394,0.00018229953,0.00015568701,0.033853605],"genre_scores_gemma":[0.9094588,0.00095806934,0.071959406,0.00021821399,0.00027421163,0.00012095525,0.00019978508,0.00010286958,0.01670778],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991972,0.00022704138,0.000050282804,0.00020610307,0.00023490122,0.000084517684],"domain_scores_gemma":[0.9989778,0.0003113719,0.00016946152,0.00007098229,0.0002585996,0.00021179883],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012044045,0.00047117283,0.00045628045,0.0016420605,0.00071997097,0.0012804333,0.0005408979,0.0003634731,0.0026239643],"category_scores_gemma":[0.001841743,0.00018499824,0.0006831022,0.0006458329,0.0018237274,0.0036623338,0.002368659,0.0015809053,0.00026776068],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009905669,0.000019750723,0.00097041496,0.0000922362,0.00002232129,0.00017965917,0.00044472606,0.0018958726,0.008593975,0.97591966,0.0005227077,0.011239559],"study_design_scores_gemma":[0.000036261736,0.00061108987,0.0036843808,0.000047592384,0.000035049743,0.0015054968,0.0006317703,0.09090936,0.015101033,0.86954886,0.01782375,0.000065374225],"about_ca_topic_score_codex":0.00037849645,"about_ca_topic_score_gemma":0.0001829701,"teacher_disagreement_score":0.0026239643,"about_ca_system_score_codex":0.0006962217,"about_ca_system_score_gemma":0.0004107857,"threshold_uncertainty_score":0.008778095},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13244265,0.0045464076,0.7970216,0.0032588572,0.0007741728,0.00008231376,0.00048773733,0.0002939959,0.06109222],"genre_scores_gemma":[0.84907836,0.0052362652,0.08668685,0.001757302,0.0015222945,0.00040258237,0.00064308924,0.0006897038,0.05398353],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99832267,0.0006660223,0.00009048427,0.0002534175,0.00048317036,0.00018424829],"domain_scores_gemma":[0.99364096,0.0036155742,0.0006195995,0.00047777267,0.0011313021,0.0005147417],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004567622,0.0018328574,0.0018046132,0.0038602597,0.001484215,0.0027420109,0.0023799073,0.0016836126,0.006096519],"category_scores_gemma":[0.01410834,0.0007186849,0.0021253778,0.0025777551,0.0039858767,0.006722282,0.004846732,0.0034075947,0.00085167476],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034857807,0.00002073247,0.0002178048,0.00007909241,0.000042910975,0.000056543668,0.00007560594,0.004520438,0.0007581818,0.98945427,0.00099435,0.0037451845],"study_design_scores_gemma":[0.0000114299355,0.0000151888335,0.00042332977,0.000022600647,0.000020610038,0.00011840131,0.000041665433,0.04071289,0.0005692766,0.95620143,0.0018353926,0.000027781594],"about_ca_topic_score_codex":0.0013087747,"about_ca_topic_score_gemma":0.0008934921,"teacher_disagreement_score":0.006096519,"about_ca_system_score_codex":0.0017865874,"about_ca_system_score_gemma":0.0012877126,"threshold_uncertainty_score":0.024156213},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3929665,0.0034282673,0.5736293,0.0021448557,0.00022822767,0.00011060093,0.00032981238,0.00035737501,0.026805034],"genre_scores_gemma":[0.95149505,0.001649538,0.033437435,0.0005671533,0.00035149473,0.00018364382,0.0003357987,0.00019654213,0.011783253],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99672866,0.0010298947,0.00020320735,0.00058479083,0.0009865006,0.00046688443],"domain_scores_gemma":[0.9842523,0.0070410254,0.0023483485,0.0009767653,0.0033724527,0.0020090071],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0067026885,0.0015320355,0.0014013869,0.005648686,0.0018179492,0.0036172678,0.0022465354,0.0014814679,0.0031775879],"category_scores_gemma":[0.021136545,0.00057575916,0.0014574821,0.0020676376,0.008048356,0.0074599166,0.0036250474,0.00307442,0.00049202074],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003325064,0.000008688891,0.0007180248,0.000047542304,0.000017407348,0.00011519394,0.0002105961,0.0027610518,0.00079508655,0.9932027,0.000204555,0.0018858846],"study_design_scores_gemma":[0.000017806775,0.00011551546,0.0017088995,0.00006202137,0.000033930468,0.0004454548,0.00032713322,0.0741974,0.0023108348,0.91673726,0.003975414,0.00006845357],"about_ca_topic_score_codex":0.0029905506,"about_ca_topic_score_gemma":0.001471102,"teacher_disagreement_score":0.0067026885,"about_ca_system_score_codex":0.003950811,"about_ca_system_score_gemma":0.0015464792,"threshold_uncertainty_score":0.035447657},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04975473,0.0043436396,0.8771107,0.008707759,0.0006029724,0.000041258787,0.00009499413,0.00037443964,0.058969494],"genre_scores_gemma":[0.62130517,0.0050739166,0.32160485,0.004348347,0.0014482696,0.00014561185,0.00016517333,0.0005909748,0.045317683],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987142,0.00062554335,0.000043224667,0.00022940463,0.00027639486,0.00011118702],"domain_scores_gemma":[0.9945621,0.0033895255,0.00030065695,0.000585677,0.0007354665,0.00042659367],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0039425725,0.0011882003,0.00073681603,0.0011680329,0.000944409,0.0016608965,0.0016008057,0.0014468355,0.0053681005],"category_scores_gemma":[0.011365073,0.00037671006,0.0013562184,0.0011432742,0.004589176,0.005853786,0.002855119,0.0049284375,0.0011194817],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000042145282,0.00002729202,0.0002721967,0.00010598647,0.000010701274,0.00004642237,0.00014854321,0.004068016,0.0031044274,0.9754152,0.001789882,0.014969185],"study_design_scores_gemma":[0.00001999688,0.00016422973,0.00044828668,0.000075930475,0.000018237291,0.0002742813,0.0001518729,0.08773059,0.0037820344,0.89271444,0.014581406,0.000038866314],"about_ca_topic_score_codex":0.0020484594,"about_ca_topic_score_gemma":0.001302057,"teacher_disagreement_score":0.0053681005,"about_ca_system_score_codex":0.0017403523,"about_ca_system_score_gemma":0.0008221192,"threshold_uncertainty_score":0.020850599},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35296646,0.0009772661,0.6295577,0.00052989833,0.00012742361,0.00006489697,0.00016997957,0.00014099693,0.015465339],"genre_scores_gemma":[0.9037582,0.00081166904,0.08598277,0.00022826786,0.00016565034,0.00016104286,0.0002685954,0.00005076309,0.0085729165],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99841416,0.00045549884,0.000094855735,0.0002508677,0.0006604704,0.00012414956],"domain_scores_gemma":[0.99712014,0.0008985062,0.0004831467,0.00018368513,0.0010503836,0.0002640942],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0021600071,0.0006197601,0.0005172964,0.0018216139,0.00053695583,0.0012231062,0.00074944005,0.00062546413,0.0023214524],"category_scores_gemma":[0.0054300637,0.0002561583,0.0007951903,0.00082556193,0.0022736185,0.0021058416,0.0013862804,0.0013642827,0.00022752272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000071644754,0.00002408906,0.0011746376,0.00010634716,0.00003779588,0.0003885789,0.00032570763,0.02125064,0.009810554,0.95667976,0.00038934933,0.009740936],"study_design_scores_gemma":[0.00002822551,0.00018580823,0.0023763492,0.000055701927,0.000025018986,0.0007066001,0.00031977077,0.22349793,0.007764233,0.7598037,0.005181566,0.000055197812],"about_ca_topic_score_codex":0.0008433584,"about_ca_topic_score_gemma":0.00068137463,"teacher_disagreement_score":0.0023214524,"about_ca_system_score_codex":0.001102346,"about_ca_system_score_gemma":0.001127479,"threshold_uncertainty_score":0.011423349},"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":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12990698,0.0012031813,0.8553506,0.0009185006,0.0001354901,0.00004416508,0.00017422278,0.00010364834,0.012163249],"genre_scores_gemma":[0.89174694,0.0023930974,0.099146836,0.00030930198,0.00024010026,0.00011882752,0.00024162779,0.00009241394,0.0057108435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9978103,0.0008355195,0.00006006508,0.00036914137,0.0006767415,0.0002483117],"domain_scores_gemma":[0.9885843,0.007863795,0.0009407854,0.00044000155,0.0014981747,0.00067298446],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0049068234,0.0008486321,0.0009934825,0.0019701996,0.0009443122,0.0016934976,0.0019091617,0.00096009445,0.0022051234],"category_scores_gemma":[0.022125471,0.00040963248,0.0010586835,0.0016406236,0.0035504217,0.0043776873,0.0022610333,0.0032638747,0.00028992578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000047015576,0.00001959273,0.0008942301,0.000088165565,0.000025120138,0.00023512317,0.00022115876,0.02191259,0.0025237342,0.9671162,0.00044011915,0.006477028],"study_design_scores_gemma":[0.00002525348,0.0000833119,0.0012393245,0.00007186724,0.000024654608,0.0005505824,0.0001900012,0.5581133,0.002038886,0.43573233,0.0018866749,0.000043855707],"about_ca_topic_score_codex":0.0032191272,"about_ca_topic_score_gemma":0.0012024748,"teacher_disagreement_score":0.0049068234,"about_ca_system_score_codex":0.001809311,"about_ca_system_score_gemma":0.0008864935,"threshold_uncertainty_score":0.025950074},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.18721494,0.003310391,0.7751058,0.0018302327,0.00039555447,0.000039116592,0.00018462901,0.00027831647,0.03164108],"genre_scores_gemma":[0.89396316,0.002795003,0.07139844,0.0002543518,0.0005646298,0.0000814336,0.0003724345,0.00012540144,0.03044514],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987319,0.0004469095,0.00005390323,0.00016202855,0.00046261022,0.00014249785],"domain_scores_gemma":[0.9973162,0.0013920686,0.00027037307,0.00027692682,0.0004541987,0.0002903281],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020794997,0.0010023974,0.0013118983,0.002387273,0.0008942228,0.0026373346,0.0013868621,0.001079213,0.0033678145],"category_scores_gemma":[0.005366301,0.000405683,0.0009804042,0.0021914586,0.0030251185,0.004851081,0.0027363512,0.0028187206,0.00052318594],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000058736165,0.000016041502,0.00016424038,0.00003956921,0.000014594537,0.00003486301,0.00014846388,0.00437336,0.0009098845,0.9878028,0.00044550828,0.005991892],"study_design_scores_gemma":[0.000018626375,0.000038835697,0.00023844533,0.000011678341,0.000015065251,0.00006050396,0.0000749124,0.06161659,0.00085589977,0.93483746,0.0022200996,0.000011928726],"about_ca_topic_score_codex":0.0017292374,"about_ca_topic_score_gemma":0.00071881403,"teacher_disagreement_score":0.0033678145,"about_ca_system_score_codex":0.002037531,"about_ca_system_score_gemma":0.0005246684,"threshold_uncertainty_score":0.014783323},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22522552,0.0077813813,0.49020037,0.0066983746,0.0017231412,0.0000763961,0.00044910028,0.00040832185,0.2674374],"genre_scores_gemma":[0.9042657,0.0034540114,0.036411166,0.0010827726,0.0012029171,0.0000900741,0.00028244194,0.00015965063,0.053051308],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9992386,0.0002467179,0.000031219173,0.00011423986,0.00023873159,0.00013052128],"domain_scores_gemma":[0.99861336,0.0007334633,0.00017774857,0.00013675613,0.00016944559,0.00016926405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001014672,0.00082447584,0.0006075464,0.0016222239,0.0011265825,0.002120632,0.0007764542,0.0010242844,0.00781577],"category_scores_gemma":[0.0038206994,0.00024635356,0.00068785803,0.0012495505,0.002934211,0.0049103545,0.0026069381,0.0027563297,0.0013130396],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012464653,0.000008812057,0.000061844694,0.00002967522,0.0000035286957,0.000039001614,0.00008982925,0.00056591094,0.00042565598,0.9946532,0.0009452524,0.003164853],"study_design_scores_gemma":[0.0000061807004,0.000015955697,0.000116703915,0.000016100234,0.0000044272474,0.00010686327,0.00006627658,0.0060494295,0.0002830732,0.99010974,0.0032177982,0.0000074993022],"about_ca_topic_score_codex":0.00092642236,"about_ca_topic_score_gemma":0.00082929956,"teacher_disagreement_score":0.00781577,"about_ca_system_score_codex":0.0013655423,"about_ca_system_score_gemma":0.00047652697,"threshold_uncertainty_score":0.026146412},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.024220113,0.022203417,0.1339171,0.007214499,0.0009050179,0.000038715956,0.0008501662,0.0003494886,0.8103015],"genre_scores_gemma":[0.46407837,0.024751939,0.047325164,0.002701328,0.0014781982,0.0002461644,0.0011875675,0.00041586123,0.45781544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99949336,0.00015373876,0.000025743093,0.00010654719,0.00016069284,0.000059866194],"domain_scores_gemma":[0.99944526,0.0002810958,0.000024157984,0.00008728237,0.000116403855,0.00004576801],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007722236,0.00046931257,0.00034218477,0.0013262604,0.0014152019,0.0020391683,0.00047795975,0.00077867345,0.020525372],"category_scores_gemma":[0.0017444047,0.00021069271,0.00065704406,0.0014979301,0.0021754247,0.004710167,0.0012172821,0.0017026626,0.0028565652],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000006587859,0.0000038633225,0.000050006573,0.000039797527,0.0000022325999,0.00002842536,0.00015297547,0.00017467797,0.00017605002,0.97816306,0.008048252,0.013154113],"study_design_scores_gemma":[0.0000039955794,0.00000804254,0.00017172373,0.000043739692,0.0000031079257,0.000183768,0.00011975839,0.001170117,0.00019931512,0.92547774,0.07261199,0.0000066865205],"about_ca_topic_score_codex":0.001540548,"about_ca_topic_score_gemma":0.00092712126,"teacher_disagreement_score":0.020525372,"about_ca_system_score_codex":0.001519046,"about_ca_system_score_gemma":0.000635276,"threshold_uncertainty_score":0.06866419},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.40549305,0.0015445255,0.53860635,0.0012335952,0.00034582437,0.000063341,0.00010153449,0.00040338608,0.052208416],"genre_scores_gemma":[0.9586018,0.0006569453,0.03104844,0.00020263271,0.00022398979,0.00004679583,0.000076417855,0.00013242131,0.009010666],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986272,0.0003323095,0.00005465479,0.00017778088,0.0005765217,0.00023151422],"domain_scores_gemma":[0.99658316,0.0012835888,0.00039075184,0.00028246734,0.00094989245,0.00051008916],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0027418362,0.0007188877,0.0010120397,0.0033250642,0.00092727103,0.002221716,0.0012444473,0.0010466998,0.0037024934],"category_scores_gemma":[0.009360478,0.00029772363,0.0010431673,0.0010176959,0.003302722,0.0036170513,0.0019319657,0.0021636125,0.00041577668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000019098323,0.000012186344,0.00020710316,0.000022764722,0.000005952969,0.000057947876,0.00009156736,0.0032803298,0.001357365,0.99201703,0.00023011692,0.0026985817],"study_design_scores_gemma":[0.000019282335,0.000038495975,0.0005551126,0.000030638148,0.0000109036455,0.00031906736,0.00012516092,0.1388381,0.0019524419,0.8559282,0.002155617,0.000027085638],"about_ca_topic_score_codex":0.0017169734,"about_ca_topic_score_gemma":0.00073742575,"teacher_disagreement_score":0.0037024934,"about_ca_system_score_codex":0.0018853614,"about_ca_system_score_gemma":0.0008110807,"threshold_uncertainty_score":0.014500439},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.009513108,0.049561795,0.26239535,0.005407433,0.004006744,0.00003714249,0.00045382525,0.00053060387,0.668094],"genre_scores_gemma":[0.29590598,0.04928533,0.08861542,0.0019666776,0.005167577,0.00018125332,0.0009928524,0.00095501344,0.55693],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99944514,0.00015863884,0.000025264984,0.00009062523,0.0002403464,0.00003995975],"domain_scores_gemma":[0.9995345,0.00022553182,0.000025810456,0.00006371643,0.000109422515,0.000041010164],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005543008,0.00086285314,0.0008462229,0.0010711884,0.00072753784,0.0033098294,0.0006727717,0.00092972815,0.0099261785],"category_scores_gemma":[0.0021756242,0.0003073713,0.00046242634,0.0014601975,0.0018292094,0.0033207955,0.0012579873,0.002827344,0.0041508535],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010042542,0.0000044928624,0.000016941838,0.00005264878,0.0000028212926,0.000008556288,0.000056227098,0.00087156653,0.00017464142,0.9702008,0.012255938,0.01634528],"study_design_scores_gemma":[0.000004652439,0.000011127888,0.000077682766,0.000067971305,0.0000042976358,0.000052287956,0.000048798942,0.0058001266,0.0003153683,0.88129693,0.11231258,0.00000811105],"about_ca_topic_score_codex":0.001891873,"about_ca_topic_score_gemma":0.0009916509,"teacher_disagreement_score":0.0099261785,"about_ca_system_score_codex":0.0017837979,"about_ca_system_score_gemma":0.000735109,"threshold_uncertainty_score":0.033206344},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0048483512,0.0005679118,0.97491395,0.0014941536,0.00018653949,0.000075518496,0.0005421989,0.00051750743,0.016853845],"genre_scores_gemma":[0.1800368,0.004256308,0.7671559,0.0018578046,0.000755318,0.00085002446,0.004321134,0.0020930392,0.038673732],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9908702,0.0036004242,0.0009146866,0.001407273,0.002871516,0.00033584182],"domain_scores_gemma":[0.9831282,0.008260401,0.00096108095,0.003302728,0.0038722767,0.00047546517],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.012482573,0.0010406481,0.0011784222,0.002731047,0.001510213,0.005937956,0.0028357098,0.0016103013,0.012336879],"category_scores_gemma":[0.027070083,0.0007710154,0.002752957,0.0039586304,0.004534278,0.013995313,0.0043454464,0.0051995395,0.0059069092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003770858,0.000027442655,0.00032961462,0.00014688077,0.000022135197,0.00006413087,0.00028037088,0.0030946978,0.00067941216,0.9625718,0.004932989,0.027812874],"study_design_scores_gemma":[0.000010591412,0.000044491477,0.0004991406,0.000085116604,0.000020043479,0.00021187351,0.0001416718,0.029905004,0.002429902,0.9165201,0.050090607,0.000041416824],"about_ca_topic_score_codex":0.0030165324,"about_ca_topic_score_gemma":0.0020670453,"teacher_disagreement_score":0.012482573,"about_ca_system_score_codex":0.0031932555,"about_ca_system_score_gemma":0.0028407478,"threshold_uncertainty_score":0.066014946},"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":"methods","genre_gemma":"commentary","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"commentary","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.056883294,0.0067837657,0.68865913,0.0088142045,0.002368074,0.00005538815,0.00042598485,0.0021178727,0.23389222],"genre_scores_gemma":[0.8021134,0.003770312,0.11165891,0.002148876,0.0018689656,0.00009394813,0.00028947782,0.00070799043,0.0773481],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99964345,0.00009722196,0.000018543036,0.00010314107,0.00009495958,0.000042638305],"domain_scores_gemma":[0.99953735,0.00018565636,0.000053562166,0.000089357716,0.00009063662,0.000043365173],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006780528,0.00051221397,0.00046740932,0.001061266,0.00063415116,0.0016659691,0.0006588243,0.0011346153,0.014655789],"category_scores_gemma":[0.0017794262,0.00018176231,0.0005912069,0.0008523124,0.002249193,0.005214325,0.001017774,0.002411573,0.0019479379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000032713986,0.0000087676135,0.000062174506,0.000045273526,0.000005981297,0.000050057006,0.00016611126,0.00030522628,0.0016759901,0.9737838,0.003215002,0.020648923],"study_design_scores_gemma":[0.000008191641,0.000027260641,0.00017093577,0.000015381916,0.000008404876,0.000216334,0.000122538,0.003539157,0.0014757807,0.971942,0.022460882,0.000013147806],"about_ca_topic_score_codex":0.0004932078,"about_ca_topic_score_gemma":0.00028197063,"teacher_disagreement_score":0.014655789,"about_ca_system_score_codex":0.00047795134,"about_ca_system_score_gemma":0.0003067173,"threshold_uncertainty_score":0.049028516},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04246117,0.00069684087,0.948802,0.00041663236,0.00013910102,0.000041369163,0.000061512554,0.00014561515,0.007235665],"genre_scores_gemma":[0.73891115,0.0011152638,0.2437613,0.0003869199,0.0003135056,0.00015904046,0.0002531416,0.00037327796,0.014726394],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9968726,0.0010570054,0.00014354057,0.00042455413,0.0012350023,0.00026735582],"domain_scores_gemma":[0.99066985,0.0050497996,0.00074671523,0.0013926445,0.0016442384,0.00049665745],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0057466,0.0012669156,0.0015582629,0.0020490433,0.0005914352,0.0019408199,0.0019932361,0.0016107538,0.003203651],"category_scores_gemma":[0.025731318,0.000623399,0.0010711576,0.0014960057,0.0025483598,0.0036078808,0.004081178,0.0031001759,0.0006432805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00040924986,0.0000748826,0.0015026628,0.00028482723,0.000117234704,0.00014590679,0.00019200223,0.25913495,0.014012444,0.67731494,0.00167554,0.045135383],"study_design_scores_gemma":[0.000010223119,0.000059098846,0.00021395784,0.000029169794,0.000010689437,0.000043026743,0.000019132316,0.924865,0.001925559,0.07183328,0.00097373564,0.000017117514],"about_ca_topic_score_codex":0.0025756534,"about_ca_topic_score_gemma":0.0014225345,"teacher_disagreement_score":0.0057466,"about_ca_system_score_codex":0.0019719058,"about_ca_system_score_gemma":0.0012752345,"threshold_uncertainty_score":0.030391276},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22548725,0.0042225327,0.7366357,0.0014417267,0.00030656697,0.00005128489,0.00009915284,0.00017815354,0.031577714],"genre_scores_gemma":[0.9274178,0.0022792008,0.054067504,0.00040107488,0.00022026303,0.000063362044,0.00009630016,0.000089392735,0.015365236],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994947,0.0001851606,0.000030173442,0.00009412046,0.00012750708,0.000068385925],"domain_scores_gemma":[0.99832827,0.00071708247,0.00025363776,0.00015308317,0.00037267408,0.00017537184],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001903282,0.0007264765,0.0005637957,0.0011452062,0.0005836538,0.0012640998,0.0008358721,0.0008750936,0.0021117567],"category_scores_gemma":[0.0040546134,0.00022693559,0.0010494661,0.00077121827,0.0015975495,0.0027427634,0.0015540783,0.0022542248,0.0002973078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007184487,0.000041883653,0.00067015155,0.00015252265,0.00003243003,0.00019869364,0.00035873277,0.02817703,0.008387582,0.9446355,0.001052616,0.016221095],"study_design_scores_gemma":[0.000026833945,0.00014052891,0.0009250844,0.000060229955,0.000040925384,0.00051307,0.0002519798,0.5392033,0.0052607604,0.44767264,0.0058460166,0.000058634534],"about_ca_topic_score_codex":0.0012881438,"about_ca_topic_score_gemma":0.00060972146,"teacher_disagreement_score":0.0021117567,"about_ca_system_score_codex":0.0012536055,"about_ca_system_score_gemma":0.0005851441,"threshold_uncertainty_score":0.010065615},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25472236,0.0008710164,0.70358294,0.0005870466,0.00024899826,0.00003267692,0.00007873068,0.00034583473,0.039530404],"genre_scores_gemma":[0.93981826,0.0008731027,0.044366334,0.00017665135,0.00012788584,0.000044932756,0.00008955321,0.000086212945,0.014417259],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952483,0.00014427883,0.000019728035,0.00006514585,0.00016751152,0.000078484045],"domain_scores_gemma":[0.99841416,0.00055680634,0.00015991901,0.00016082349,0.000528647,0.00017956324],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011553301,0.00044861442,0.000611771,0.0010539317,0.00062814134,0.0014971758,0.0005761464,0.0006350321,0.0023746272],"category_scores_gemma":[0.004052205,0.00021264554,0.00053042156,0.0009566507,0.0016525318,0.0012931105,0.0011071359,0.001310705,0.0003404722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000076837474,0.000018357243,0.00048376078,0.00004200588,0.000015576752,0.00015218361,0.00014466753,0.024943966,0.0073685967,0.95695955,0.0007629764,0.00903153],"study_design_scores_gemma":[0.000015390013,0.00006609274,0.0004543682,0.000031420033,0.000022078502,0.00041003356,0.000110485715,0.7492634,0.007102272,0.23812017,0.00435616,0.00004810698],"about_ca_topic_score_codex":0.0021247508,"about_ca_topic_score_gemma":0.00090346014,"teacher_disagreement_score":0.0023746272,"about_ca_system_score_codex":0.0009107123,"about_ca_system_score_gemma":0.00088927255,"threshold_uncertainty_score":0.007943869},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38840517,0.0019542864,0.48765254,0.0012201768,0.00044226742,0.00013752856,0.00022595652,0.00033691767,0.1196251],"genre_scores_gemma":[0.8771388,0.00087394443,0.09584142,0.00035998606,0.00020594633,0.00016287826,0.00010411929,0.000052140113,0.025260726],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995498,0.00011753672,0.000023539445,0.0000879274,0.00015219436,0.00006901027],"domain_scores_gemma":[0.99950504,0.00012397907,0.00009851263,0.0000763665,0.00012670751,0.000069429654],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007603684,0.0004869372,0.00045067264,0.00086259545,0.00054368284,0.00087347213,0.0007507971,0.00096687634,0.0029192914],"category_scores_gemma":[0.0026334154,0.00016005426,0.00030992573,0.0005652813,0.0013932422,0.0015843064,0.0010004429,0.00093241653,0.00040225586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004763042,0.000017220384,0.00022447591,0.000055531546,0.0000057648613,0.00013463719,0.00012555622,0.004217538,0.0046386947,0.98202735,0.00075539673,0.0077503077],"study_design_scores_gemma":[0.000061356914,0.00009962478,0.00077074533,0.00006188734,0.000014992614,0.0011347551,0.00030356646,0.20858352,0.011172194,0.7632498,0.014463586,0.00008394617],"about_ca_topic_score_codex":0.0007848847,"about_ca_topic_score_gemma":0.0004986535,"teacher_disagreement_score":0.0029192914,"about_ca_system_score_codex":0.00076986867,"about_ca_system_score_gemma":0.0006453324,"threshold_uncertainty_score":0.009765983},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06510789,0.0028003415,0.8998093,0.0019359807,0.0009816493,0.000044980912,0.00015064124,0.00020236518,0.028966928],"genre_scores_gemma":[0.73335445,0.004129641,0.20787708,0.0010551891,0.0016883226,0.00019835286,0.0004949176,0.000708001,0.050494093],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976373,0.0009274605,0.000119266326,0.00033952345,0.0007506281,0.00022576592],"domain_scores_gemma":[0.9945075,0.0028085778,0.00042237324,0.0007738541,0.0009896433,0.0004980254],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004632644,0.0018690518,0.0017991902,0.0034902259,0.0013896108,0.0038606322,0.0022421808,0.0021131337,0.006608559],"category_scores_gemma":[0.016640764,0.0007894227,0.001052724,0.0032810816,0.003928385,0.008930984,0.0054578073,0.003959352,0.001019415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000343527,0.000019039911,0.00017382068,0.000039209306,0.000020587544,0.00001974377,0.00006763715,0.0046383687,0.00036422306,0.98659396,0.0008895367,0.007139528],"study_design_scores_gemma":[0.000007979478,0.000014812888,0.000075864526,0.00001958022,0.000013076106,0.000028126577,0.00003195339,0.0543252,0.0002064882,0.9434159,0.0018501286,0.000010870382],"about_ca_topic_score_codex":0.0013790586,"about_ca_topic_score_gemma":0.0010799618,"teacher_disagreement_score":0.006608559,"about_ca_system_score_codex":0.0022658869,"about_ca_system_score_gemma":0.0011015424,"threshold_uncertainty_score":0.024500012},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.064179905,0.002152177,0.90888375,0.00076555595,0.00029094482,0.000109507935,0.00019999224,0.00015462222,0.023263542],"genre_scores_gemma":[0.7885259,0.004594816,0.18607612,0.00088506803,0.00067870814,0.0004924269,0.00041436142,0.00023184923,0.018100886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99814105,0.00059794687,0.00011067626,0.00033697987,0.0006344182,0.00017886268],"domain_scores_gemma":[0.99354374,0.0035895198,0.0008151902,0.0005717121,0.0011396277,0.0003402275],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005373761,0.0011336445,0.0010744168,0.0025640652,0.0010980677,0.001846409,0.001813621,0.0013275084,0.0034095612],"category_scores_gemma":[0.014750157,0.00049417344,0.0021596588,0.001540105,0.0033143817,0.0044888663,0.0022365428,0.002938656,0.0006014311],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026561838,0.000020878153,0.00052706373,0.00013534096,0.000037420814,0.00013797428,0.00015778643,0.008361805,0.0019847397,0.9796372,0.00073925056,0.008233985],"study_design_scores_gemma":[0.000020139962,0.00013126244,0.00089561194,0.00009481674,0.00003253171,0.0007217242,0.00014427099,0.23330176,0.0027488726,0.75472206,0.007129809,0.000057155296],"about_ca_topic_score_codex":0.0011048339,"about_ca_topic_score_gemma":0.00051698956,"teacher_disagreement_score":0.005373761,"about_ca_system_score_codex":0.00134267,"about_ca_system_score_gemma":0.00109418,"threshold_uncertainty_score":0.028419495},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12962545,0.0017483013,0.8166828,0.0010156576,0.00039001528,0.00006002168,0.00019106932,0.00020263946,0.050084066],"genre_scores_gemma":[0.87121916,0.0012887742,0.10584501,0.00038196315,0.00049593643,0.00013472384,0.00022211633,0.00024043431,0.020171877],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985096,0.00032903472,0.00012872658,0.0002879023,0.0005641457,0.00018069877],"domain_scores_gemma":[0.9970835,0.0012086964,0.00032896013,0.00034138525,0.000787042,0.000250466],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002676858,0.00089010847,0.00077355886,0.002329424,0.00096742134,0.0019957921,0.0012892663,0.0007633334,0.005844245],"category_scores_gemma":[0.00685123,0.0002490394,0.0015755646,0.001148453,0.0027026832,0.005300582,0.0017310147,0.0018220561,0.00062322675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024354707,0.000020925527,0.0007040064,0.00007471256,0.000020019197,0.00024578907,0.00017577046,0.0034138265,0.0031646846,0.98269755,0.0005435737,0.008914684],"study_design_scores_gemma":[0.000007687716,0.00006088335,0.000859278,0.000041356616,0.00002238622,0.00061764295,0.00016389556,0.08489233,0.0040259385,0.904591,0.004688697,0.000028793644],"about_ca_topic_score_codex":0.0008386468,"about_ca_topic_score_gemma":0.0006763722,"teacher_disagreement_score":0.005844245,"about_ca_system_score_codex":0.0011541866,"about_ca_system_score_gemma":0.0007844069,"threshold_uncertainty_score":0.01955092},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.592577,0.0016943517,0.35110864,0.0014215255,0.0005100057,0.00010063887,0.00013426662,0.00031594335,0.052137643],"genre_scores_gemma":[0.9313165,0.0009731342,0.052750204,0.00044445577,0.00032808183,0.0000828883,0.00011338448,0.000094995026,0.013896318],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995629,0.00013378945,0.000021058364,0.000097717915,0.00011326616,0.000071131515],"domain_scores_gemma":[0.9991794,0.00019509545,0.00014408091,0.000104683124,0.00017433724,0.00020232],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011814884,0.0006194533,0.00053654326,0.001071837,0.0009675108,0.0011307315,0.0007465019,0.0010863267,0.0022773664],"category_scores_gemma":[0.002455393,0.00019972037,0.00069319975,0.00056629814,0.002101557,0.0031690141,0.0011673493,0.001674181,0.0003300517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038173705,0.000015676784,0.00019404333,0.000049853323,0.000005497367,0.00015461634,0.00013416451,0.003036621,0.005228312,0.9876676,0.00039453834,0.0030809497],"study_design_scores_gemma":[0.000035156718,0.00015054378,0.000740091,0.000048122096,0.000015567439,0.0009339866,0.0002694021,0.13082552,0.003638337,0.8580002,0.0052862824,0.000056723697],"about_ca_topic_score_codex":0.0010221165,"about_ca_topic_score_gemma":0.000609429,"teacher_disagreement_score":0.0022773664,"about_ca_system_score_codex":0.00085104484,"about_ca_system_score_gemma":0.0006466604,"threshold_uncertainty_score":0.0076185465},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14478622,0.0017848422,0.8109409,0.0014624802,0.00027079482,0.000034016153,0.00022535092,0.00025007766,0.04024527],"genre_scores_gemma":[0.9192691,0.00120868,0.06407034,0.00033257616,0.00027020127,0.000081085054,0.0002024357,0.0001121357,0.014453416],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99915767,0.00019705533,0.00005004454,0.0001879996,0.00028252942,0.0001247742],"domain_scores_gemma":[0.9988681,0.00049085065,0.00013877513,0.0001632282,0.00023475714,0.0001043002],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000988343,0.00050165126,0.000600173,0.00077975984,0.0009124164,0.0012294005,0.0010195416,0.00053197594,0.003047709],"category_scores_gemma":[0.004059378,0.00023624321,0.00081807195,0.0007043499,0.0015415722,0.0028054577,0.0023949519,0.0019298402,0.00037324085],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034195797,0.000010184545,0.0006179149,0.00007742436,0.0000118800135,0.00012284375,0.00020082886,0.007526954,0.0026744504,0.9797061,0.00054329884,0.008473956],"study_design_scores_gemma":[0.000009356431,0.00005925041,0.00075793057,0.000031876443,0.000020484149,0.00022370108,0.000179463,0.19305733,0.0022322426,0.79768646,0.0057241535,0.000017808821],"about_ca_topic_score_codex":0.0017591135,"about_ca_topic_score_gemma":0.0007244442,"teacher_disagreement_score":0.003047709,"about_ca_system_score_codex":0.00094084884,"about_ca_system_score_gemma":0.0006103683,"threshold_uncertainty_score":0.010195613},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17178875,0.001966641,0.8046161,0.00069253205,0.00027136813,0.00012316267,0.00020074744,0.0001928396,0.020147866],"genre_scores_gemma":[0.86956155,0.0018151972,0.10728939,0.00055728055,0.00037234082,0.00041639153,0.00050579605,0.00015706204,0.019324945],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99651057,0.0009097387,0.00031290107,0.0006910075,0.0012319686,0.00034382488],"domain_scores_gemma":[0.9902692,0.0040364056,0.0008488734,0.0006340602,0.003528279,0.0006831494],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0049066045,0.0007986325,0.0007829581,0.0031409168,0.0010866179,0.0019786204,0.001452674,0.0006954541,0.0036861852],"category_scores_gemma":[0.015475035,0.00033878832,0.0013595044,0.0014764653,0.0034705356,0.0053498237,0.0024934723,0.0023487592,0.00042181587],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057713387,0.000026629286,0.0014344368,0.00015565417,0.000050000675,0.00016245396,0.00040117616,0.0064144954,0.0042494964,0.9747932,0.00043610806,0.011818766],"study_design_scores_gemma":[0.000021899263,0.0002979112,0.0028688393,0.00008159073,0.000044651493,0.0006149229,0.00064226874,0.11577093,0.0049414216,0.8660106,0.008638251,0.00006676851],"about_ca_topic_score_codex":0.0014828263,"about_ca_topic_score_gemma":0.0010011795,"teacher_disagreement_score":0.0049066045,"about_ca_system_score_codex":0.0017522007,"about_ca_system_score_gemma":0.00130334,"threshold_uncertainty_score":0.025948942},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05851052,0.00064374116,0.9318656,0.0006725793,0.00017176804,0.000037532172,0.000077813944,0.00009692307,0.007923648],"genre_scores_gemma":[0.79801023,0.001490037,0.18596363,0.000703226,0.00041593023,0.00016282339,0.00016648478,0.00017314583,0.0129144555],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983664,0.00065345236,0.000059674498,0.00020258092,0.0005565921,0.00016136226],"domain_scores_gemma":[0.9951593,0.0025380417,0.00052252517,0.00042143176,0.0009774436,0.00038122307],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005228683,0.00073416694,0.00069577235,0.001812387,0.0006084513,0.0010602716,0.0020060625,0.000882968,0.0022634335],"category_scores_gemma":[0.011804179,0.00035314154,0.0014304564,0.00084756775,0.002473682,0.0023330452,0.0023762363,0.0025874402,0.00035976767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000052016218,0.000034444583,0.00057133735,0.00007949443,0.00002973778,0.00016502652,0.00013423857,0.035664402,0.0030606915,0.9522664,0.00077621813,0.0071660434],"study_design_scores_gemma":[0.000009376526,0.000058846123,0.00037235816,0.000031570387,0.000013572143,0.00013206933,0.000036337533,0.6623869,0.0015343926,0.33348906,0.0019028552,0.00003272348],"about_ca_topic_score_codex":0.0018746083,"about_ca_topic_score_gemma":0.0011178465,"teacher_disagreement_score":0.005228683,"about_ca_system_score_codex":0.0014311826,"about_ca_system_score_gemma":0.001277,"threshold_uncertainty_score":0.027652264},"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":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38600504,0.004716532,0.57528573,0.0016557359,0.0003913155,0.00011591226,0.00058767584,0.00014023499,0.031101843],"genre_scores_gemma":[0.86260647,0.0027288408,0.11387827,0.0003292629,0.0006403188,0.00021120046,0.0008406331,0.00007450157,0.018690523],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903476,0.00030993202,0.00005540868,0.00018103329,0.00024930472,0.000169701],"domain_scores_gemma":[0.99783045,0.0007587564,0.0004388645,0.0001585722,0.00040165609,0.00041172493],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002304918,0.0010801197,0.00070495764,0.0024625782,0.00096291414,0.0021752517,0.00087641296,0.0010028124,0.0032374617],"category_scores_gemma":[0.0052636075,0.00040877273,0.0010992817,0.0011778757,0.0028493053,0.0037473193,0.0019812249,0.0018350284,0.00048518315],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031718926,0.00001542005,0.00030888876,0.000039710787,0.000007739644,0.000053500455,0.00014889566,0.0019133493,0.0011712781,0.9924666,0.00037638177,0.0034665812],"study_design_scores_gemma":[0.000019265985,0.000095210744,0.0006687413,0.00004759436,0.000010797081,0.00014407151,0.00028832402,0.04480481,0.0011052289,0.9485386,0.0042460156,0.00003133863],"about_ca_topic_score_codex":0.0010510525,"about_ca_topic_score_gemma":0.0008232445,"teacher_disagreement_score":0.0032374617,"about_ca_system_score_codex":0.0012988996,"about_ca_system_score_gemma":0.0007450937,"threshold_uncertainty_score":0.012189686},"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":"commentary","genre_gemma":"commentary","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"commentary","genre_consensus":"commentary","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.036861666,0.017749311,0.17357782,0.66427773,0.018146053,0.00012667911,0.0010263165,0.0005036168,0.087730795],"genre_scores_gemma":[0.64866996,0.017026274,0.14680949,0.056796752,0.041483585,0.00063135097,0.0023090083,0.0005808617,0.08569276],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9926939,0.0030173194,0.00040324937,0.002087195,0.0011692613,0.0006289968],"domain_scores_gemma":[0.9659504,0.02563067,0.0009666049,0.002564119,0.003680094,0.0012080909],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.010914819,0.001067227,0.0024557528,0.0015786175,0.0053504226,0.009922079,0.002741067,0.0075775604,0.013279722],"category_scores_gemma":[0.06328365,0.0008425897,0.001984282,0.0029061134,0.013873365,0.036111005,0.005252838,0.0179772,0.0031947845],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007640211,0.000050985236,0.00038484723,0.00014445864,0.000025254592,0.00004463067,0.00042460012,0.0013013602,0.0000868335,0.9644199,0.02533034,0.0077104624],"study_design_scores_gemma":[0.000014632893,0.000011124062,0.000063825646,0.00004910035,0.0000067924784,0.00002650079,0.00022989124,0.0023526666,0.00005759451,0.987462,0.009712446,0.000013413971],"about_ca_topic_score_codex":0.0027966336,"about_ca_topic_score_gemma":0.001526864,"teacher_disagreement_score":0.013279722,"about_ca_system_score_codex":0.0047289664,"about_ca_system_score_gemma":0.0023749163,"threshold_uncertainty_score":0.05772376},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23752388,0.0017684605,0.7048005,0.0007973558,0.00021568104,0.00008362578,0.00022030274,0.00030088978,0.054289367],"genre_scores_gemma":[0.9409818,0.000844154,0.041678023,0.00039241498,0.00028080842,0.00016507026,0.00037908833,0.00014553806,0.015133152],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99858725,0.00028079294,0.00009593368,0.00030984756,0.00046212215,0.00026407803],"domain_scores_gemma":[0.99548125,0.001615125,0.0005185272,0.00032420826,0.0013914182,0.0006694849],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002030243,0.00065116613,0.00074748066,0.002343082,0.0012994435,0.0020910087,0.0012142776,0.00074612175,0.0041766036],"category_scores_gemma":[0.007998399,0.00026536614,0.0010265122,0.0008992965,0.0032101918,0.0037916522,0.0023184933,0.0017974875,0.00053060916],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004409569,0.000024771538,0.0013363311,0.00006939628,0.000015725367,0.00014075811,0.0003634006,0.003058337,0.003348054,0.9838007,0.0006761646,0.007122242],"study_design_scores_gemma":[0.000024971741,0.00028503494,0.0027331016,0.00006196979,0.000035952584,0.0011158856,0.00063521427,0.1370804,0.010363251,0.8348091,0.012786946,0.00006813213],"about_ca_topic_score_codex":0.0015183764,"about_ca_topic_score_gemma":0.00063348876,"teacher_disagreement_score":0.0041766036,"about_ca_system_score_codex":0.0017534789,"about_ca_system_score_gemma":0.0007364868,"threshold_uncertainty_score":0.013972163},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17643015,0.0022897273,0.7626874,0.000912546,0.00042316975,0.00015818476,0.0002731207,0.00046612913,0.05635953],"genre_scores_gemma":[0.75449526,0.0035498783,0.20235333,0.0006510122,0.00042765855,0.00031548002,0.00039860103,0.00023263966,0.037576117],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995202,0.000100393445,0.000035466906,0.00011012518,0.0001584575,0.00007536071],"domain_scores_gemma":[0.99929273,0.0001550846,0.000096018026,0.000090846246,0.00022838765,0.00013688598],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00075525226,0.0008900745,0.0004907236,0.0010825976,0.00092856796,0.0008683449,0.0009237244,0.0010391878,0.0036023601],"category_scores_gemma":[0.0013767869,0.00020185306,0.0008835096,0.0008252587,0.00129274,0.001757361,0.0010170136,0.0018897742,0.000972531],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007840723,0.00005995071,0.0005035674,0.00021651368,0.000020171856,0.0006804506,0.0003720412,0.007858207,0.048291024,0.9044488,0.002195215,0.035275664],"study_design_scores_gemma":[0.000047792597,0.00045041367,0.0010840967,0.0001118315,0.000045448975,0.0053997273,0.0005155195,0.14808767,0.03308174,0.75955373,0.05148201,0.00014006026],"about_ca_topic_score_codex":0.0004058468,"about_ca_topic_score_gemma":0.00029015308,"teacher_disagreement_score":0.0036023601,"about_ca_system_score_codex":0.0005020648,"about_ca_system_score_gemma":0.000771838,"threshold_uncertainty_score":0.0120511055},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.028202793,0.0020797725,0.9601148,0.00072445435,0.00026977717,0.00003401174,0.00019110955,0.00015367365,0.008229646],"genre_scores_gemma":[0.71251476,0.005576866,0.2509669,0.00044803662,0.0008843024,0.0002233679,0.00078564184,0.00054823,0.028051943],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99862564,0.0005205206,0.000081139755,0.00019913938,0.00046479254,0.00010882631],"domain_scores_gemma":[0.99188435,0.005533077,0.00046255285,0.00058716635,0.0011209744,0.00041186545],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0043445453,0.0015791239,0.0014763331,0.0031932555,0.00073278823,0.0024878476,0.00191921,0.0014491037,0.004844136],"category_scores_gemma":[0.019913971,0.0006561014,0.0013274103,0.0018188709,0.0024585577,0.0047834963,0.0045393864,0.005974029,0.0006026025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00028861634,0.000058161844,0.00077982986,0.00032075576,0.00007365695,0.00010771041,0.0002848078,0.05236635,0.004824098,0.89767426,0.0022652578,0.04095634],"study_design_scores_gemma":[0.000017126076,0.00008300594,0.00042770465,0.00008279968,0.000059963557,0.0001156163,0.000104623985,0.56245905,0.002843045,0.4281285,0.005644746,0.000033964752],"about_ca_topic_score_codex":0.0023265711,"about_ca_topic_score_gemma":0.0011216337,"teacher_disagreement_score":0.004844136,"about_ca_system_score_codex":0.0018731644,"about_ca_system_score_gemma":0.000910112,"threshold_uncertainty_score":0.022976398},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5599219,0.0022099419,0.37689626,0.00050966995,0.0002468189,0.00006928567,0.00041268172,0.00013558634,0.059597872],"genre_scores_gemma":[0.92878515,0.0008260024,0.050252855,0.00024086666,0.00019531592,0.000075753764,0.00059129094,0.00008712538,0.0189457],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99903405,0.00019354498,0.00006133037,0.00023078304,0.00033404664,0.00014624331],"domain_scores_gemma":[0.9984347,0.00029913484,0.00026282202,0.00010882948,0.00055250933,0.00034196625],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009345836,0.0008355567,0.00043914455,0.0023972564,0.00078824785,0.002393963,0.0008105082,0.00069044216,0.0035035985],"category_scores_gemma":[0.0024264697,0.0002587753,0.00056938315,0.0012001552,0.0023307954,0.0039130147,0.0023148519,0.0015729953,0.00055290904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034704608,0.000013656663,0.00033007044,0.000031566768,0.0000060726325,0.00007227689,0.00018027973,0.002400596,0.0027020036,0.98955077,0.00023436347,0.004443613],"study_design_scores_gemma":[0.000014817586,0.000121613586,0.00085505436,0.00004491921,0.000012023427,0.00044440996,0.00032160853,0.04467513,0.0035317983,0.94306815,0.00687237,0.00003817002],"about_ca_topic_score_codex":0.0010233574,"about_ca_topic_score_gemma":0.0006350054,"teacher_disagreement_score":0.0035035985,"about_ca_system_score_codex":0.001185193,"about_ca_system_score_gemma":0.00056263135,"threshold_uncertainty_score":0.011720657},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.17082432,0.0019560582,0.81044906,0.0006226281,0.00020942725,0.000099116325,0.000102472426,0.00028992223,0.015446905],"genre_scores_gemma":[0.75801986,0.0019991368,0.22583446,0.00031425158,0.0002207671,0.0001979995,0.00013115104,0.00017553731,0.01310681],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9987778,0.00052444165,0.00006598445,0.00017447537,0.0003226671,0.00013459288],"domain_scores_gemma":[0.99698883,0.0016114016,0.00044144082,0.0002544909,0.00041746517,0.0002863098],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034936836,0.00094241794,0.0007136702,0.0014673616,0.00077957334,0.0012807101,0.0012708966,0.0012541686,0.0025388834],"category_scores_gemma":[0.009418025,0.00029965234,0.0009194699,0.00082062976,0.0023772041,0.0030219695,0.0017373867,0.0018279665,0.00054822967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001173569,0.00003057099,0.0006229186,0.00012098997,0.000019754669,0.0001970431,0.00028093826,0.02357744,0.009846214,0.95282745,0.0005388978,0.011820445],"study_design_scores_gemma":[0.000041393858,0.00018564609,0.00069573714,0.000064813874,0.000023907514,0.00058950955,0.00018068547,0.5461209,0.00645894,0.44181255,0.0037431295,0.000082810344],"about_ca_topic_score_codex":0.0010786816,"about_ca_topic_score_gemma":0.00052662817,"teacher_disagreement_score":0.0034936836,"about_ca_system_score_codex":0.0010725295,"about_ca_system_score_gemma":0.0008057791,"threshold_uncertainty_score":0.018476546},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43095934,0.0009534009,0.4956204,0.0014954403,0.00026769305,0.00007130462,0.00018267652,0.00026745646,0.07018231],"genre_scores_gemma":[0.98009765,0.00025909007,0.01269579,0.0002717632,0.0002445233,0.000069314374,0.00009637262,0.0000564123,0.0062090657],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9977549,0.00070903887,0.00013110372,0.00042179014,0.00065659545,0.00032671992],"domain_scores_gemma":[0.99535394,0.002184043,0.0005842085,0.0003854311,0.00084641785,0.00064594304],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002240155,0.00059942104,0.00071323063,0.0015944366,0.0010776473,0.002570308,0.0007391125,0.00069823774,0.0038161667],"category_scores_gemma":[0.0071872827,0.00018411431,0.0010155936,0.0007211892,0.0045618573,0.004165975,0.0022653716,0.002003852,0.0004157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020009524,0.000017718261,0.00040290266,0.00002067204,0.0000062573185,0.00008607183,0.0003162846,0.001159163,0.0014154183,0.9938444,0.00012272618,0.002588452],"study_design_scores_gemma":[0.000011426067,0.00011227461,0.0009778586,0.00001739503,0.000011582771,0.0002294125,0.00037892902,0.019661427,0.0015070506,0.97415745,0.002914805,0.000020294148],"about_ca_topic_score_codex":0.0005911047,"about_ca_topic_score_gemma":0.00023650804,"teacher_disagreement_score":0.0038161667,"about_ca_system_score_codex":0.0014215703,"about_ca_system_score_gemma":0.00073227164,"threshold_uncertainty_score":0.012766302},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6796507,0.0014246956,0.2965001,0.000863209,0.0003035851,0.000025406374,0.00008193485,0.0002070258,0.020943379],"genre_scores_gemma":[0.9715898,0.00056146394,0.016537404,0.0001784867,0.00023890378,0.0000300502,0.00007746809,0.00008281735,0.010703567],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99943954,0.00017109915,0.000024584517,0.00009443624,0.00015777598,0.00011258151],"domain_scores_gemma":[0.99861705,0.0003411179,0.00025045488,0.0001655573,0.00028198663,0.0003437963],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012762845,0.0008451411,0.0009655447,0.0019330336,0.0009485025,0.0030639514,0.0010250625,0.0012001827,0.002170931],"category_scores_gemma":[0.0026411705,0.00040286602,0.0009818939,0.0009583046,0.002137057,0.0038445813,0.0018393402,0.001813646,0.00032023294],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006593881,0.00004392807,0.0005589655,0.00003872264,0.000033130298,0.00014382761,0.00017110439,0.00400761,0.004304978,0.9859605,0.00047179818,0.0041995305],"study_design_scores_gemma":[0.00003620421,0.00005783143,0.0006919024,0.000023347076,0.000019159103,0.00040848184,0.00012904248,0.12112203,0.0012427537,0.8746406,0.0015961741,0.000032361975],"about_ca_topic_score_codex":0.0006797023,"about_ca_topic_score_gemma":0.0005199834,"teacher_disagreement_score":0.0030639514,"about_ca_system_score_codex":0.0010558547,"about_ca_system_score_gemma":0.000442862,"threshold_uncertainty_score":0.0076607466},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08635678,0.00027762717,0.90079087,0.00011748424,0.000117138654,0.00006712756,0.00007692228,0.00017114817,0.012024956],"genre_scores_gemma":[0.6638184,0.00095826236,0.32429072,0.00014909141,0.00007895647,0.00015264392,0.00019694922,0.00012169415,0.010233316],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995376,0.00008963034,0.000022002345,0.000078572666,0.00019046375,0.000081745355],"domain_scores_gemma":[0.9993856,0.000117281845,0.00008897623,0.00006904949,0.00022413892,0.00011495387],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007737498,0.00054484105,0.0005625493,0.001602356,0.0005515242,0.0008489572,0.0007936592,0.00048259227,0.0028547961],"category_scores_gemma":[0.0018088847,0.00031563576,0.00065842504,0.0010071007,0.0010331371,0.0014872045,0.0012177078,0.0014127675,0.0005741973],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007048339,0.000057279423,0.00060895324,0.00008099438,0.000019584386,0.00014258336,0.00017322376,0.024791125,0.021975096,0.91697055,0.00084417645,0.034266],"study_design_scores_gemma":[0.00004893925,0.00025682055,0.0007719131,0.000051750525,0.000025920495,0.0005502448,0.00023797035,0.51068956,0.023954615,0.45162007,0.011709866,0.00008229366],"about_ca_topic_score_codex":0.0010599943,"about_ca_topic_score_gemma":0.0008234866,"teacher_disagreement_score":0.0028547961,"about_ca_system_score_codex":0.00069724524,"about_ca_system_score_gemma":0.00082571374,"threshold_uncertainty_score":0.009550214},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2770098,0.0056696655,0.5943664,0.0022381681,0.0014085792,0.00007379674,0.00031013743,0.00067913986,0.11824427],"genre_scores_gemma":[0.93735844,0.001803893,0.043633457,0.00040828233,0.00084353803,0.000043772332,0.00017093818,0.00017215093,0.015565478],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991541,0.00011813759,0.00006639684,0.00022040255,0.00033088992,0.000110196605],"domain_scores_gemma":[0.99851555,0.0006062277,0.00013229896,0.00023739052,0.00034158782,0.00016699515],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010744168,0.00064863655,0.00084721495,0.0013672158,0.001290778,0.0014033855,0.00082870753,0.0005956321,0.006554024],"category_scores_gemma":[0.003730297,0.00021931845,0.0013707274,0.0010105107,0.002655088,0.00483865,0.0013831761,0.0026890659,0.0005671332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005082543,0.000016863767,0.00060150377,0.00009013564,0.000017407396,0.0003794914,0.00034623212,0.0010322761,0.0033743877,0.9848645,0.0008675646,0.008358917],"study_design_scores_gemma":[0.000011759992,0.000081085775,0.0007209535,0.000030248986,0.000034738034,0.00059328316,0.00012993567,0.008079958,0.0038326455,0.976986,0.009466688,0.00003276996],"about_ca_topic_score_codex":0.000950557,"about_ca_topic_score_gemma":0.0010106431,"teacher_disagreement_score":0.006554024,"about_ca_system_score_codex":0.00080742163,"about_ca_system_score_gemma":0.0006297682,"threshold_uncertainty_score":0.02192545},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12993923,0.0005217613,0.8565312,0.00040625434,0.00011588134,0.000043531287,0.00012092463,0.00011285332,0.012208367],"genre_scores_gemma":[0.8894589,0.0007449698,0.09983535,0.00028347224,0.00025124525,0.00013695566,0.00018850756,0.00009640776,0.0090041],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984005,0.00045088827,0.00008355593,0.00027148705,0.0005845326,0.00020907969],"domain_scores_gemma":[0.9964406,0.0013947582,0.00063633884,0.00042836202,0.0006903497,0.00040954148],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0032406575,0.00081798265,0.00079336617,0.0018041889,0.0006188263,0.0015809677,0.001357247,0.0006564592,0.003057199],"category_scores_gemma":[0.009849061,0.0002862394,0.0012462444,0.0008980275,0.0027500559,0.0035212175,0.0027006213,0.0020408535,0.00038591216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026097656,0.000020209021,0.00054698257,0.00004668793,0.000019081712,0.00007690508,0.00010489978,0.0069468254,0.0022225433,0.983863,0.00028249083,0.0058441847],"study_design_scores_gemma":[0.000015902799,0.00009378819,0.0009095623,0.00003210445,0.000021633377,0.00030340985,0.000101081896,0.17192939,0.0029268744,0.82159114,0.0020403806,0.000034676992],"about_ca_topic_score_codex":0.00070546306,"about_ca_topic_score_gemma":0.00044940092,"teacher_disagreement_score":0.0032406575,"about_ca_system_score_codex":0.001162282,"about_ca_system_score_gemma":0.0008686922,"threshold_uncertainty_score":0.017138481},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5721971,0.0017603245,0.32289556,0.0022070892,0.00033192593,0.00012497834,0.00019027069,0.00017460836,0.100118145],"genre_scores_gemma":[0.9573141,0.00055157504,0.032667298,0.0002679277,0.00023709683,0.0000873949,0.00012282733,0.00007587072,0.008675909],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99867356,0.00030978862,0.00012581339,0.00025062243,0.00040635603,0.00023392774],"domain_scores_gemma":[0.99560684,0.0019338956,0.0005096099,0.00025835994,0.0010664307,0.00062480994],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002856363,0.0005226795,0.00081845396,0.0019245957,0.001947606,0.0026036818,0.0011646167,0.0012690894,0.0056978324],"category_scores_gemma":[0.006638229,0.00036400888,0.0013626225,0.0006216295,0.0038530915,0.004679421,0.0032437812,0.0033391058,0.0005269425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028815564,0.000020930785,0.00049764884,0.000040738047,0.000009065178,0.00024427773,0.00026270834,0.00058680656,0.0035046008,0.9923228,0.0002477793,0.0022337325],"study_design_scores_gemma":[0.000031828597,0.00011628735,0.0017208075,0.00006617007,0.000032653756,0.00094699726,0.00070145127,0.030608432,0.007714806,0.95256203,0.005431213,0.00006720414],"about_ca_topic_score_codex":0.00084977056,"about_ca_topic_score_gemma":0.0009489174,"teacher_disagreement_score":0.0056978324,"about_ca_system_score_codex":0.0012760875,"about_ca_system_score_gemma":0.0013037832,"threshold_uncertainty_score":0.019061208},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39013085,0.0024714703,0.5440672,0.001636756,0.0004267669,0.000056068813,0.00022918328,0.00023345479,0.060748145],"genre_scores_gemma":[0.966611,0.0009577793,0.021319743,0.00023844624,0.0003240016,0.00005838052,0.00010813496,0.000052243944,0.010330323],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99942017,0.000113374794,0.000036085505,0.00012570634,0.00020621964,0.00009840389],"domain_scores_gemma":[0.99881256,0.00043322964,0.00013783413,0.00008674043,0.00036840656,0.00016119715],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011006319,0.0006213422,0.000555138,0.0017893568,0.0006111894,0.0014561531,0.00044575898,0.000561884,0.0022184143],"category_scores_gemma":[0.002586103,0.00019223282,0.0007593589,0.0007577643,0.0016827632,0.0029979597,0.0021927247,0.0015361689,0.00031111788],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028340542,0.000013414308,0.00053396507,0.000060667175,0.000011551048,0.00015883942,0.0002031777,0.0021651578,0.0060336906,0.9833086,0.00038661106,0.007096115],"study_design_scores_gemma":[0.000010327428,0.00011240683,0.0012271085,0.000047981244,0.000027022905,0.0005206366,0.00027024982,0.03941843,0.0071686353,0.9423274,0.008830607,0.000039149087],"about_ca_topic_score_codex":0.0003242454,"about_ca_topic_score_gemma":0.00022619507,"teacher_disagreement_score":0.0022184143,"about_ca_system_score_codex":0.000848025,"about_ca_system_score_gemma":0.00044238378,"threshold_uncertainty_score":0.0074213743},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24775365,0.0018515766,0.70073515,0.0008360439,0.00027128396,0.000060382372,0.00032609323,0.00041198352,0.047753796],"genre_scores_gemma":[0.95633465,0.0008538987,0.03273346,0.0002974157,0.00061260734,0.00011012256,0.00026242316,0.00028520662,0.008510118],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989334,0.00024877,0.000056753695,0.00031662732,0.00029177617,0.00015266144],"domain_scores_gemma":[0.995946,0.0020463797,0.0004990452,0.00042943817,0.00057696877,0.00050221034],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002326135,0.00075630425,0.000910184,0.0020801488,0.0010804938,0.001802498,0.001161832,0.0007370562,0.006415242],"category_scores_gemma":[0.008260476,0.00029276902,0.0011300801,0.0008973356,0.004680187,0.005227569,0.002730324,0.00245844,0.00071331457],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008574167,0.000029304554,0.0012027645,0.00014100515,0.000023982982,0.00034251233,0.0003333622,0.0037836756,0.0083388975,0.9756177,0.00073505775,0.009365884],"study_design_scores_gemma":[0.000026041787,0.00010987303,0.0015748171,0.000053685795,0.000044155255,0.0006115833,0.00018727608,0.051764015,0.011523767,0.9307107,0.003342563,0.0000515504],"about_ca_topic_score_codex":0.0005600917,"about_ca_topic_score_gemma":0.0003836669,"teacher_disagreement_score":0.006415242,"about_ca_system_score_codex":0.0008698944,"about_ca_system_score_gemma":0.00035503018,"threshold_uncertainty_score":0.02146113},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.16692139,0.0045050317,0.7077796,0.003699135,0.00060406676,0.0001186924,0.0003404165,0.0003693016,0.115662254],"genre_scores_gemma":[0.8893861,0.002112257,0.087686375,0.0018232967,0.0009911646,0.00024773466,0.00021254837,0.00017288582,0.017367572],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99827194,0.00046604377,0.000107104635,0.00041578576,0.0005221897,0.0002169288],"domain_scores_gemma":[0.9945846,0.0025411327,0.00047256003,0.0008489565,0.0012578092,0.00029486866],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0039286353,0.0005621398,0.0009037348,0.0011579307,0.001008775,0.0015285945,0.0015676402,0.0011668224,0.0044522076],"category_scores_gemma":[0.0142404605,0.0003763929,0.001231271,0.0008275833,0.0029118652,0.0042594825,0.0028118843,0.0032095006,0.0006189691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000035884907,0.000015871556,0.0006635712,0.00010265146,0.000019960791,0.00020101706,0.00019048437,0.00427089,0.0026357255,0.97877985,0.0013780836,0.011705994],"study_design_scores_gemma":[0.000022823551,0.00010052855,0.0017904938,0.000078356476,0.000031574484,0.0009822308,0.00011851169,0.098045185,0.004982558,0.87900263,0.014806315,0.000038756396],"about_ca_topic_score_codex":0.0010663992,"about_ca_topic_score_gemma":0.0007279404,"teacher_disagreement_score":0.0044522076,"about_ca_system_score_codex":0.0010307555,"about_ca_system_score_gemma":0.00073466107,"threshold_uncertainty_score":0.020776808},"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":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12969948,0.03748382,0.36319673,0.027675748,0.011259056,0.000069616544,0.00029028425,0.00024879386,0.43007642],"genre_scores_gemma":[0.8237874,0.025570517,0.08727851,0.0062350896,0.005486057,0.0000684664,0.00018818144,0.00014918609,0.05123669],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999403,0.00019626338,0.000021351,0.00009833438,0.00018978376,0.00009125398],"domain_scores_gemma":[0.99856013,0.00081435364,0.00012851194,0.00013917427,0.00017576624,0.00018198478],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015737923,0.00050447945,0.00044945616,0.0010091268,0.0013069105,0.0011464248,0.0007845628,0.00084941357,0.0058592637],"category_scores_gemma":[0.0037421251,0.00021209678,0.00055218645,0.0014311573,0.0033571783,0.004496358,0.0024597065,0.0034348883,0.00080452237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001761595,0.000010030472,0.00014326468,0.00005761694,0.0000042084944,0.00011106899,0.00013382829,0.00045120707,0.0006856405,0.98956925,0.0026918368,0.006124341],"study_design_scores_gemma":[0.0000072991197,0.000047706217,0.0004173085,0.0000360753,0.000008436354,0.00032557285,0.000107173684,0.0029089951,0.00062691927,0.9581626,0.037331015,0.000020946829],"about_ca_topic_score_codex":0.0014081086,"about_ca_topic_score_gemma":0.0010790552,"teacher_disagreement_score":0.0058592637,"about_ca_system_score_codex":0.00084076874,"about_ca_system_score_gemma":0.0006196733,"threshold_uncertainty_score":0.019601166},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.034284893,0.0029845648,0.9496569,0.0015744007,0.0004166397,0.000063372005,0.00016675548,0.00019613793,0.010656373],"genre_scores_gemma":[0.67972887,0.0077102287,0.2769654,0.0011430696,0.0016944672,0.0004458537,0.00076276227,0.00064153236,0.030907767],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99643373,0.001498909,0.00019898673,0.0004866761,0.0010848151,0.000296894],"domain_scores_gemma":[0.9666627,0.025324935,0.0013791543,0.0017404846,0.0033771305,0.0015157197],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.011837181,0.002870087,0.0029215114,0.005185387,0.0014370381,0.0037152483,0.0035858627,0.0029045634,0.00712007],"category_scores_gemma":[0.04602,0.0013027888,0.0030269956,0.002848777,0.006179247,0.01181292,0.0093564475,0.012387377,0.0008228567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002443343,0.00006796154,0.00066261564,0.00031264307,0.00007526087,0.000105123254,0.00041054594,0.01601977,0.0026888887,0.95864373,0.0014539399,0.01931514],"study_design_scores_gemma":[0.000043045155,0.00017488223,0.0005735305,0.000121371195,0.00010415433,0.00019309354,0.00017298858,0.2652028,0.002283223,0.72663486,0.0044328305,0.000063157735],"about_ca_topic_score_codex":0.0020979145,"about_ca_topic_score_gemma":0.0013113824,"teacher_disagreement_score":0.011837181,"about_ca_system_score_codex":0.0028704186,"about_ca_system_score_gemma":0.0016075164,"threshold_uncertainty_score":0.062601745},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9143786,0.00039685355,0.07545716,0.00022597394,0.000042129912,0.00003171268,0.00028819442,0.00006533871,0.009114058],"genre_scores_gemma":[0.97628516,0.00030977075,0.018694088,0.00004183361,0.000078160985,0.000047053232,0.0004435757,0.000023845394,0.004076559],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99930406,0.0001615734,0.000054290806,0.00013579815,0.00022238903,0.00012186285],"domain_scores_gemma":[0.998353,0.00036529513,0.00039776793,0.00014663211,0.00037954774,0.00035787196],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011830177,0.00032466886,0.00041497426,0.0015595728,0.000685265,0.0020433771,0.00046643437,0.00035295036,0.0026886836],"category_scores_gemma":[0.002031421,0.00024361162,0.00043104187,0.0008484606,0.0027010543,0.0026253636,0.0014022085,0.0011644014,0.0002469391],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007343235,0.000028680195,0.0027243858,0.000045244804,0.000016251342,0.000104123654,0.0004170565,0.001829846,0.0030228966,0.98055273,0.00032222015,0.01086313],"study_design_scores_gemma":[0.000034981247,0.00024876714,0.008567766,0.00006067549,0.0000165792,0.0005484871,0.0011324589,0.023633763,0.0041501364,0.9567251,0.0048313863,0.000049913917],"about_ca_topic_score_codex":0.0011834787,"about_ca_topic_score_gemma":0.0006020419,"teacher_disagreement_score":0.0026886836,"about_ca_system_score_codex":0.0010349902,"about_ca_system_score_gemma":0.0005100962,"threshold_uncertainty_score":0.00899452},"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":"other","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.011823933,0.031512532,0.40293637,0.07241527,0.007134172,0.000038178074,0.00057988346,0.0011683032,0.47239143],"genre_scores_gemma":[0.29609734,0.02676551,0.22238053,0.03250785,0.009600615,0.0001023419,0.0007570279,0.0023592664,0.40942955],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99921477,0.0002790813,0.000038136597,0.00017556541,0.00021477822,0.00007763951],"domain_scores_gemma":[0.9983986,0.0008482409,0.00007179921,0.00017663304,0.00039263745,0.00011212114],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015210174,0.00070563384,0.00054569234,0.0014243869,0.0015770985,0.0041407854,0.0009894407,0.0013412596,0.030597676],"category_scores_gemma":[0.0038722188,0.0003270931,0.0010159076,0.0013836503,0.0027444293,0.012265121,0.0012040427,0.004683038,0.005100711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029772438,0.000023819517,0.00016558876,0.00018939617,0.0000136996505,0.000072461546,0.00031960665,0.00040841743,0.0018770556,0.93143344,0.03943528,0.026031366],"study_design_scores_gemma":[0.0000070198935,0.000052568223,0.00046763552,0.00010862803,0.000016611753,0.0003777862,0.0004152572,0.0030346396,0.0016665776,0.7672896,0.22653592,0.000027865384],"about_ca_topic_score_codex":0.0023009838,"about_ca_topic_score_gemma":0.002961139,"teacher_disagreement_score":0.030597676,"about_ca_system_score_codex":0.0014419436,"about_ca_system_score_gemma":0.00070453656,"threshold_uncertainty_score":0.10235947},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.615985,0.0066406215,0.19938059,0.008372726,0.0016541847,0.00010095962,0.0005416295,0.0003555145,0.16696882],"genre_scores_gemma":[0.94302326,0.0018742211,0.026305288,0.0004261716,0.0011999361,0.00007472002,0.0002334245,0.00015101043,0.02671188],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99926454,0.000127668,0.000054110544,0.0001455833,0.000303958,0.00010413263],"domain_scores_gemma":[0.998044,0.00048874546,0.0004221887,0.00026292444,0.000311739,0.00047033577],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017927455,0.00057789776,0.00057221187,0.0030927276,0.0012493755,0.003648328,0.0006442171,0.0013946533,0.0054577007],"category_scores_gemma":[0.0062714084,0.00036178227,0.0006632585,0.001233614,0.0023453238,0.008164863,0.0029241045,0.002675346,0.0005024021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000020259231,0.0000078317,0.000278414,0.000024941579,0.0000042277993,0.000055087054,0.00009377516,0.00060983317,0.0009855997,0.99432373,0.0005275985,0.0030686862],"study_design_scores_gemma":[0.000020994912,0.000082520586,0.0019610953,0.00006940949,0.000022237158,0.0008023909,0.00025697306,0.01893388,0.0016040221,0.9539895,0.022217976,0.00003892562],"about_ca_topic_score_codex":0.00026536765,"about_ca_topic_score_gemma":0.00024133586,"teacher_disagreement_score":0.0054577007,"about_ca_system_score_codex":0.0013877725,"about_ca_system_score_gemma":0.00038319206,"threshold_uncertainty_score":0.018257797},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25542775,0.00042225354,0.7332268,0.00029340872,0.00011570453,0.00005367302,0.00012159602,0.00012284564,0.010215993],"genre_scores_gemma":[0.90846926,0.0004571157,0.08296204,0.00017551458,0.00014437064,0.00017425205,0.00019670055,0.00007245282,0.007348284],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975623,0.0007158213,0.00018043887,0.00044834398,0.00085276796,0.00024042129],"domain_scores_gemma":[0.99250764,0.002724322,0.0010722796,0.0006755837,0.0022258256,0.00079428084],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00391458,0.000886594,0.00076211814,0.0021810369,0.0007306412,0.002062406,0.00095365074,0.0006481372,0.002610068],"category_scores_gemma":[0.011353163,0.00033124388,0.0008787777,0.0010057794,0.003837267,0.0038042231,0.0030775063,0.0019297868,0.00033360682],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006797622,0.000023537612,0.0010866165,0.00007000905,0.000029571615,0.0002565347,0.00027245205,0.009072266,0.0051693693,0.97845465,0.00019628422,0.005300668],"study_design_scores_gemma":[0.000021330825,0.00020917483,0.0012213313,0.000045644018,0.000018110488,0.0005435842,0.00026253547,0.14997435,0.0048462925,0.8404834,0.002329396,0.000044872777],"about_ca_topic_score_codex":0.0005469746,"about_ca_topic_score_gemma":0.00030964514,"teacher_disagreement_score":0.00391458,"about_ca_system_score_codex":0.0011384094,"about_ca_system_score_gemma":0.0007785514,"threshold_uncertainty_score":0.02070254},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30029327,0.0016205623,0.68241966,0.000716335,0.00014913204,0.000033316977,0.0001214247,0.000110576795,0.01453575],"genre_scores_gemma":[0.93405336,0.0013787274,0.055692483,0.00014658747,0.00021973782,0.00006381808,0.00012607404,0.000049106413,0.008270113],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995004,0.00013568709,0.000024997873,0.000088194305,0.00018396706,0.00006666525],"domain_scores_gemma":[0.9985403,0.00051861233,0.00031137836,0.0001232468,0.0003401273,0.00016641169],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014228229,0.00055568747,0.00059464964,0.001081841,0.00046359395,0.0011385438,0.00082464353,0.00068063376,0.0017193813],"category_scores_gemma":[0.0036334775,0.00020931911,0.0010173596,0.00052650366,0.0012422842,0.00232128,0.0011081151,0.0016437357,0.0002331174],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010312935,0.000030840325,0.001481582,0.00010003516,0.00004020933,0.00026122262,0.00026915048,0.023235926,0.018418362,0.9442461,0.0006029654,0.0112104295],"study_design_scores_gemma":[0.00003907216,0.00019677046,0.0031139788,0.000053525186,0.00004053341,0.0011408932,0.00020638446,0.5256983,0.0068624914,0.45713702,0.0054451684,0.00006583754],"about_ca_topic_score_codex":0.00052148517,"about_ca_topic_score_gemma":0.00026813877,"teacher_disagreement_score":0.0017193813,"about_ca_system_score_codex":0.000684351,"about_ca_system_score_gemma":0.0005638545,"threshold_uncertainty_score":0.007524669},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19326545,0.0073523484,0.67090076,0.0029532202,0.00080824865,0.00012442749,0.00030783005,0.0002732649,0.12401448],"genre_scores_gemma":[0.8808552,0.0041134893,0.083803356,0.0008697766,0.0007863013,0.0002642284,0.00024348246,0.00015244287,0.028911753],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99902844,0.00027210536,0.00006435201,0.00017452014,0.00031144798,0.00014917822],"domain_scores_gemma":[0.998302,0.0007845264,0.00018968194,0.00015058833,0.00036777466,0.00020546195],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024258269,0.000513072,0.0007879805,0.0018579281,0.0014115758,0.0020192706,0.00090388756,0.00090818846,0.0029959464],"category_scores_gemma":[0.003568028,0.00033344343,0.0013668558,0.00085274706,0.0033170148,0.004201304,0.002337996,0.0032583198,0.00059773517],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031337928,0.000010478517,0.000111330955,0.00006140937,0.000010236105,0.00004180094,0.00011221612,0.0012427965,0.0015772148,0.99275595,0.00042729484,0.0036178874],"study_design_scores_gemma":[0.000022696058,0.000073303745,0.00045070495,0.000039284965,0.000013062006,0.00019392326,0.00005422489,0.01784091,0.0014940052,0.97328293,0.006511382,0.000023550074],"about_ca_topic_score_codex":0.00079060654,"about_ca_topic_score_gemma":0.0005451345,"teacher_disagreement_score":0.0029959464,"about_ca_system_score_codex":0.00131897,"about_ca_system_score_gemma":0.0012361829,"threshold_uncertainty_score":0.012829125},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006672434,0.003996277,0.489722,0.0063806972,0.0026005127,0.0003562091,0.042671453,0.055591013,0.39200947],"genre_scores_gemma":[0.07688926,0.0042355014,0.3737743,0.0020829355,0.001133341,0.0005818913,0.105011426,0.03317841,0.40311298],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983552,0.00021109694,0.00009878461,0.00040280892,0.0006392559,0.0002929089],"domain_scores_gemma":[0.9980046,0.00067998003,0.00009764591,0.0005694356,0.00050126493,0.00014702852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013970515,0.0026788928,0.0018423314,0.002118515,0.0012895967,0.0063697184,0.0023249604,0.0020216673,0.27355367],"category_scores_gemma":[0.0067287995,0.00089914695,0.0026954224,0.0033027187,0.0006864389,0.00541746,0.002414223,0.0036133255,0.23023847],"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":[0.00033432685,0.00014098825,0.00039526395,0.000894009,0.00006713661,0.00012534113,0.0001389207,0.009817252,0.002618724,0.037214544,0.7477941,0.20045944],"study_design_scores_gemma":[0.00030246863,0.00013528588,0.001013675,0.00035988315,0.0000918314,0.00026464913,0.0002578906,0.079512276,0.0106572015,0.09713573,0.81018066,0.0000884243],"about_ca_topic_score_codex":0.0136399595,"about_ca_topic_score_gemma":0.02604759,"teacher_disagreement_score":0.27355367,"about_ca_system_score_codex":0.003263093,"about_ca_system_score_gemma":0.003035775,"threshold_uncertainty_score":0.9151282},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.045965668,0.002709755,0.9338983,0.0025712748,0.00036079588,0.000049536273,0.00015590157,0.00014702287,0.014141723],"genre_scores_gemma":[0.8119494,0.0055895797,0.16288263,0.0026368632,0.0024458922,0.00041443366,0.0005374951,0.0003914394,0.013152224],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953898,0.002442655,0.0002276571,0.0005884923,0.0010913918,0.00025989168],"domain_scores_gemma":[0.9649597,0.025796816,0.0023520882,0.0014669118,0.0032219552,0.0022025374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.014944354,0.0013469254,0.0020330835,0.0056460295,0.001299331,0.0041888086,0.0030340524,0.0027489958,0.0036262257],"category_scores_gemma":[0.044970907,0.0007635655,0.0017024616,0.00363136,0.01226872,0.011229615,0.0049206726,0.005966236,0.00044714494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002104654,0.000014236538,0.00022273984,0.0000420669,0.000022496868,0.000047477628,0.00005954926,0.0020023277,0.00033084993,0.99442685,0.00033984927,0.0024704493],"study_design_scores_gemma":[0.000012192332,0.00003078284,0.0004402044,0.000032405715,0.0000140497195,0.00010600163,0.0000405141,0.05835667,0.00024154602,0.9396413,0.001061056,0.000023318735],"about_ca_topic_score_codex":0.001669019,"about_ca_topic_score_gemma":0.00069899135,"teacher_disagreement_score":0.014944354,"about_ca_system_score_codex":0.0020625778,"about_ca_system_score_gemma":0.0019063661,"threshold_uncertainty_score":0.07903427},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.088221565,0.0035538543,0.89074206,0.0026340778,0.00044723778,0.000033730874,0.0002042009,0.00016325388,0.014000039],"genre_scores_gemma":[0.80264807,0.005930397,0.16412637,0.0011670025,0.0017135659,0.0002259336,0.0005918521,0.0005930301,0.02300385],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9954526,0.0023404916,0.0003415955,0.0007713729,0.0008416293,0.00025230297],"domain_scores_gemma":[0.9413367,0.045851514,0.0025254204,0.0026152912,0.005194282,0.0024768733],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.015651332,0.0014880174,0.0019538,0.003938034,0.0015667254,0.0063272845,0.0030346164,0.0032695928,0.00516272],"category_scores_gemma":[0.04995281,0.0014423233,0.0021405658,0.0029931762,0.008338317,0.023220345,0.005987344,0.0059204963,0.0005618795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002166981,0.000014524882,0.00020295058,0.000031782587,0.000013214089,0.000038119942,0.00017286115,0.0011132393,0.00019112776,0.9956885,0.00028019684,0.0022318212],"study_design_scores_gemma":[0.00000682605,0.00002233389,0.0001622822,0.000016107651,0.000009717514,0.00013680135,0.00005721948,0.02284067,0.00016588,0.9759017,0.0006651685,0.000015318066],"about_ca_topic_score_codex":0.0012122067,"about_ca_topic_score_gemma":0.0007703347,"teacher_disagreement_score":0.015651332,"about_ca_system_score_codex":0.0020560394,"about_ca_system_score_gemma":0.0017732431,"threshold_uncertainty_score":0.08277315},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1769677,0.001527129,0.7988387,0.00095111685,0.00020042123,0.00006463043,0.00017641087,0.00013345113,0.021140542],"genre_scores_gemma":[0.9458109,0.0007654607,0.045884516,0.00023323225,0.0001518146,0.00008220481,0.00012766526,0.000044597244,0.0068997364],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984168,0.00041248306,0.000099303616,0.00024525198,0.0006292993,0.00019690733],"domain_scores_gemma":[0.9970535,0.0012551845,0.0004489518,0.00027955638,0.0006463817,0.00031644857],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003525525,0.000584702,0.0009459592,0.0018294931,0.00093339605,0.0017885248,0.0017409017,0.0007714557,0.0022562302],"category_scores_gemma":[0.007634367,0.00029031056,0.0013635085,0.00083001575,0.0032648507,0.003152461,0.0024026518,0.002217226,0.00025447767],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000023078108,0.000015615162,0.00060812547,0.000050872673,0.000018927602,0.000120299395,0.000119130666,0.007858644,0.0015343748,0.985968,0.00021583033,0.0034669845],"study_design_scores_gemma":[0.000014643285,0.00007389842,0.0009776436,0.000031202413,0.000017912675,0.00030945943,0.00011822749,0.2046564,0.002338276,0.78938776,0.0020392833,0.000035243786],"about_ca_topic_score_codex":0.0013275399,"about_ca_topic_score_gemma":0.0008302424,"teacher_disagreement_score":0.003525525,"about_ca_system_score_codex":0.0015448094,"about_ca_system_score_gemma":0.0013189832,"threshold_uncertainty_score":0.018644989},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.27434605,0.0014816073,0.6910202,0.000724749,0.00024736326,0.00006018608,0.00010186235,0.00020101845,0.031816896],"genre_scores_gemma":[0.92930555,0.0006034739,0.0600479,0.0002110627,0.00015607524,0.000059696024,0.00009821095,0.000103310864,0.009414689],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991793,0.0002377321,0.00004519926,0.000119087934,0.0003250575,0.00009360085],"domain_scores_gemma":[0.9978823,0.0010157466,0.00033514638,0.00017413468,0.00038111082,0.00021159803],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002581399,0.00072043453,0.00047868473,0.0015747517,0.00061436475,0.0012067616,0.00095128134,0.0008322658,0.003814603],"category_scores_gemma":[0.005271536,0.00018851091,0.0007872382,0.0005615256,0.001989312,0.00333823,0.0014747159,0.0018961366,0.00040634256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000060647257,0.000029887959,0.000507649,0.00009791206,0.00001280152,0.00012466543,0.000220615,0.0093923,0.01144684,0.9707733,0.00033254607,0.007000924],"study_design_scores_gemma":[0.000020368472,0.00014206237,0.0011365699,0.00003184253,0.00001670119,0.0005077241,0.00021928892,0.3205048,0.008575873,0.6654014,0.003389654,0.000053657433],"about_ca_topic_score_codex":0.0004904935,"about_ca_topic_score_gemma":0.00024491161,"teacher_disagreement_score":0.003814603,"about_ca_system_score_codex":0.001107913,"about_ca_system_score_gemma":0.00055263407,"threshold_uncertainty_score":0.013651907},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03179166,0.0055848486,0.94326025,0.002916852,0.00056679326,0.00003565927,0.00015676425,0.00018118288,0.015505954],"genre_scores_gemma":[0.76767373,0.013329072,0.18228456,0.0018334991,0.0039678644,0.0003189082,0.00038151754,0.00041904862,0.029791802],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9969061,0.0015415553,0.00015587057,0.0004375951,0.0007570428,0.00020177422],"domain_scores_gemma":[0.971962,0.021544546,0.0013765165,0.0015935255,0.0023551926,0.0011682316],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0109953135,0.001428388,0.0023809955,0.0048425132,0.0012953758,0.0038264405,0.0034683412,0.0027878683,0.0036637294],"category_scores_gemma":[0.039362945,0.00091647217,0.0033446695,0.0029532337,0.0065062726,0.0075387703,0.0048487354,0.005638753,0.0005720347],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000026295798,0.000021678969,0.00034620587,0.00007066826,0.000035665827,0.000062402956,0.00010576621,0.012645576,0.00038518984,0.98168784,0.0006353114,0.003977474],"study_design_scores_gemma":[0.0000122276415,0.000030735424,0.00033553655,0.000035675548,0.000025707754,0.000103143146,0.000034599732,0.20058471,0.00032707502,0.7963881,0.002089897,0.00003263243],"about_ca_topic_score_codex":0.0029952016,"about_ca_topic_score_gemma":0.0017196703,"teacher_disagreement_score":0.0109953135,"about_ca_system_score_codex":0.0037241615,"about_ca_system_score_gemma":0.0024212662,"threshold_uncertainty_score":0.058149457},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.03497371,0.004538093,0.942893,0.001467786,0.00040726774,0.000055695757,0.00025103078,0.00023461338,0.01517885],"genre_scores_gemma":[0.71704376,0.010736961,0.23408572,0.0008104665,0.0015511682,0.00046049381,0.0011628221,0.00063881796,0.033509754],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99732506,0.0012082815,0.0001260465,0.0003670568,0.0007488559,0.00022470219],"domain_scores_gemma":[0.98304176,0.012543723,0.0007086376,0.0009729551,0.0019780558,0.000754928],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0065620886,0.0022180693,0.002033941,0.0047552316,0.001035287,0.0034794523,0.0025042682,0.0018980199,0.005694475],"category_scores_gemma":[0.025897758,0.00077739934,0.0022443815,0.0025080135,0.0043411884,0.006572258,0.006461922,0.0098748095,0.00096323254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023382866,0.000049915638,0.0005960942,0.00033276822,0.00007688367,0.000085410284,0.0002841403,0.020742644,0.002296056,0.950318,0.0016412982,0.023342945],"study_design_scores_gemma":[0.00003288698,0.0001862293,0.000810945,0.00012079231,0.0000933424,0.00016368717,0.00015603061,0.30462575,0.0028597403,0.6843427,0.0065538688,0.000054107146],"about_ca_topic_score_codex":0.002314712,"about_ca_topic_score_gemma":0.0011626801,"teacher_disagreement_score":0.0065620886,"about_ca_system_score_codex":0.002757473,"about_ca_system_score_gemma":0.0012671425,"threshold_uncertainty_score":0.03470403},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01118846,0.0011665537,0.9799172,0.00055713544,0.00014545574,0.00004204117,0.00006359467,0.000094261784,0.006825196],"genre_scores_gemma":[0.65111864,0.005153648,0.32846618,0.0014374488,0.0014385843,0.00047703565,0.00028137697,0.0002462581,0.011380851],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962465,0.0014252543,0.00020922696,0.00062445644,0.0012838405,0.00021065246],"domain_scores_gemma":[0.98258334,0.012193329,0.0011914131,0.0014455378,0.0021663534,0.00042003926],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.010484544,0.0010315867,0.0011265149,0.0027598224,0.0010005587,0.001666027,0.0023235925,0.0017151282,0.00284849],"category_scores_gemma":[0.03163299,0.0005163028,0.0022089614,0.0017873726,0.0047217137,0.0054712514,0.0031005132,0.003637018,0.00050358486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021011136,0.000019238802,0.0004989498,0.00012844626,0.00003490458,0.00011091795,0.00014283633,0.013196679,0.0012402826,0.97292954,0.00055990537,0.011117303],"study_design_scores_gemma":[0.000019530013,0.00013492387,0.0007397479,0.0000873954,0.000027882548,0.0005978513,0.000084210944,0.34376797,0.002135608,0.64524305,0.007115873,0.000046020996],"about_ca_topic_score_codex":0.0013095395,"about_ca_topic_score_gemma":0.0004960083,"teacher_disagreement_score":0.010484544,"about_ca_system_score_codex":0.0015948162,"about_ca_system_score_gemma":0.0013471032,"threshold_uncertainty_score":0.055448234},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04865555,0.0015430044,0.93345106,0.00132031,0.00056457764,0.00005911798,0.00023792716,0.00036893252,0.013799609],"genre_scores_gemma":[0.6849992,0.003543324,0.2704951,0.00080961274,0.0011938527,0.00022662614,0.0007360642,0.0011325765,0.036863618],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9949645,0.0020091855,0.0002885748,0.0006007508,0.0016177173,0.00051931303],"domain_scores_gemma":[0.9686812,0.021683903,0.0012035368,0.0026057009,0.0042322455,0.0015935379],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0119143315,0.0022330966,0.0026163456,0.0034104558,0.0013138796,0.005205465,0.0032319112,0.0025447153,0.0069817635],"category_scores_gemma":[0.03701906,0.0013904837,0.0020949547,0.0021075958,0.0059174863,0.012619689,0.006591342,0.01169651,0.0014187484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0003040727,0.00006854263,0.0006002827,0.00020444907,0.000042799027,0.00008490127,0.00033620614,0.018172178,0.004907396,0.957125,0.0017121112,0.016442006],"study_design_scores_gemma":[0.00002544751,0.00015056007,0.00047170496,0.00006200672,0.000046865836,0.00012827046,0.00011528318,0.32586002,0.005996547,0.66303676,0.0040285187,0.0000780257],"about_ca_topic_score_codex":0.0028197207,"about_ca_topic_score_gemma":0.0021512348,"teacher_disagreement_score":0.0119143315,"about_ca_system_score_codex":0.0037380848,"about_ca_system_score_gemma":0.0020341654,"threshold_uncertainty_score":0.06300974},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38188505,0.006754571,0.55175024,0.006204284,0.0006237394,0.00010321812,0.0005642415,0.0003411902,0.051773418],"genre_scores_gemma":[0.9274314,0.0042364527,0.035306714,0.0007075318,0.00078208034,0.00020626336,0.000612495,0.00023184666,0.030485218],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9972249,0.0012493235,0.00012497568,0.00030442004,0.00075523596,0.00034118272],"domain_scores_gemma":[0.984593,0.009940347,0.0013699414,0.00063786004,0.0018825489,0.0015762959],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0049910164,0.0016289295,0.0017460438,0.0036150306,0.0015058137,0.004513003,0.0021975636,0.0018146615,0.005466505],"category_scores_gemma":[0.019040644,0.0007834854,0.0014840106,0.0018811686,0.0060947794,0.006149115,0.004536812,0.0032584346,0.0005621079],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008003956,0.000033419466,0.00043331663,0.000103609025,0.00003365804,0.000064072454,0.00019788607,0.0069155237,0.00067935884,0.98878396,0.0005572068,0.002117911],"study_design_scores_gemma":[0.000042558964,0.000048027676,0.00058747694,0.000049596816,0.00001784847,0.000109645036,0.00015149945,0.12739497,0.00039407765,0.8700547,0.0011162882,0.000033339988],"about_ca_topic_score_codex":0.0042762323,"about_ca_topic_score_gemma":0.0022549478,"teacher_disagreement_score":0.005466505,"about_ca_system_score_codex":0.0036680452,"about_ca_system_score_gemma":0.0023821127,"threshold_uncertainty_score":0.026613593},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.35249987,0.00114165,0.606955,0.0010575703,0.00029488443,0.00005264758,0.00023487938,0.00009837776,0.037665147],"genre_scores_gemma":[0.8900046,0.00069938804,0.0792509,0.00031538022,0.0002879171,0.00011276436,0.0003338747,0.00006788493,0.028927285],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994486,0.00013795795,0.000019427831,0.00013964727,0.00019083914,0.00006353692],"domain_scores_gemma":[0.99904436,0.00028565977,0.00015461167,0.000058040783,0.00025673644,0.0002005657],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00094210287,0.00047380576,0.00039555217,0.0011204756,0.0004926419,0.0011723406,0.0007120659,0.00071984506,0.003495718],"category_scores_gemma":[0.0018589231,0.00016095354,0.00042633875,0.0004567563,0.0019132547,0.0018413503,0.0010163181,0.0011693231,0.00038715324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004263882,0.000028672799,0.0002374821,0.000035549507,0.000006993073,0.00005139468,0.00007029269,0.0045520794,0.0054243184,0.9853726,0.000300719,0.0038771199],"study_design_scores_gemma":[0.000024405635,0.00016576724,0.00074352603,0.00002112019,0.000007884816,0.00042238407,0.00010638535,0.19140652,0.004181668,0.7964189,0.0064615333,0.000039839153],"about_ca_topic_score_codex":0.0007294588,"about_ca_topic_score_gemma":0.00034999003,"teacher_disagreement_score":0.003495718,"about_ca_system_score_codex":0.0008215338,"about_ca_system_score_gemma":0.00070585415,"threshold_uncertainty_score":0.011694372},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.32713667,0.0027240245,0.58679795,0.001525209,0.0009066034,0.00013937918,0.0003794967,0.00028483776,0.080105774],"genre_scores_gemma":[0.8697442,0.002010499,0.08522989,0.00041259723,0.0005897922,0.000100068835,0.00020090537,0.00014557458,0.041566428],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99931395,0.00013883362,0.00002862159,0.00012885054,0.0002852245,0.00010462895],"domain_scores_gemma":[0.9991048,0.00017258881,0.00020617877,0.000088852365,0.00021152537,0.0002160364],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011935465,0.00079276453,0.000627609,0.0021122873,0.0006484514,0.0018301507,0.0009423366,0.0011181356,0.004347207],"category_scores_gemma":[0.0026703582,0.00023999008,0.0008022938,0.0011113118,0.0019389236,0.0030012652,0.0017719488,0.0025410384,0.000770903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027765926,0.000011088764,0.00013023069,0.000027618375,0.0000059842555,0.000100454505,0.00010190894,0.001676011,0.002954381,0.9899592,0.0003342434,0.0046711587],"study_design_scores_gemma":[0.000038164577,0.00011803214,0.00090311136,0.00003305566,0.000020045773,0.00085865345,0.00017683611,0.06767816,0.0040787766,0.91479987,0.011229384,0.0000658869],"about_ca_topic_score_codex":0.0013459425,"about_ca_topic_score_gemma":0.0008352705,"teacher_disagreement_score":0.004347207,"about_ca_system_score_codex":0.0013411223,"about_ca_system_score_gemma":0.0006893271,"threshold_uncertainty_score":0.014542878},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26674604,0.0021839186,0.7000964,0.001686928,0.00025859964,0.00008959219,0.0001226498,0.0002475964,0.028568221],"genre_scores_gemma":[0.9146862,0.002029912,0.059678778,0.0003722036,0.0004039001,0.0002029248,0.00022400524,0.00017659558,0.022225562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983854,0.00046338124,0.000071384864,0.00024976954,0.0006366724,0.00019341342],"domain_scores_gemma":[0.99088573,0.0045017237,0.0007399598,0.00040351975,0.0025358093,0.0009331787],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038989852,0.0012088969,0.00088031177,0.0028224706,0.0009600949,0.0019503597,0.0014677605,0.0013285214,0.0032015292],"category_scores_gemma":[0.01601805,0.0004527781,0.0015978653,0.0009565769,0.0031050264,0.004685568,0.0036548907,0.0036901922,0.00042999786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010556508,0.00006362252,0.0015867725,0.00021746485,0.000067344605,0.00025563897,0.00051979563,0.0132733835,0.011772841,0.9617689,0.0009251008,0.009443514],"study_design_scores_gemma":[0.000035435067,0.00027233202,0.0024763725,0.000112531685,0.00007190806,0.0008811961,0.00041479207,0.47181436,0.0060845516,0.5131492,0.004613174,0.0000741901],"about_ca_topic_score_codex":0.0011924015,"about_ca_topic_score_gemma":0.00051785726,"teacher_disagreement_score":0.0038989852,"about_ca_system_score_codex":0.0018539046,"about_ca_system_score_gemma":0.0010625058,"threshold_uncertainty_score":0.020619988},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.022353645,0.0010652445,0.96816874,0.00048531106,0.000107436026,0.000033751898,0.000039037157,0.000059650312,0.007687239],"genre_scores_gemma":[0.78806984,0.0037210658,0.19723555,0.00058986637,0.0005556289,0.00029145443,0.00012859529,0.00014332756,0.009264679],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9971841,0.0012457866,0.00013051354,0.0003550234,0.00091039704,0.00017407257],"domain_scores_gemma":[0.99065804,0.0065699792,0.0006763548,0.000516098,0.001179532,0.00039998876],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008300649,0.00087031804,0.00094585377,0.0020389198,0.0007139059,0.0015874684,0.001698555,0.0009865735,0.0021616833],"category_scores_gemma":[0.01785046,0.00048879505,0.0018239375,0.0012544397,0.0040483368,0.0040425486,0.0025999462,0.002774891,0.00030916758],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013072895,0.000015207879,0.00021591713,0.000060705643,0.000018595167,0.0000463158,0.00010154442,0.014046413,0.000858337,0.9799635,0.00018670787,0.004473807],"study_design_scores_gemma":[0.000012438583,0.00009254266,0.00046879417,0.000045735585,0.000018732382,0.0001768622,0.0000613521,0.32868317,0.001586119,0.6660998,0.002722335,0.00003219088],"about_ca_topic_score_codex":0.0015148188,"about_ca_topic_score_gemma":0.0007869885,"teacher_disagreement_score":0.008300649,"about_ca_system_score_codex":0.0017669047,"about_ca_system_score_gemma":0.0016095594,"threshold_uncertainty_score":0.043898523},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.30756295,0.0039113373,0.54475576,0.0024358681,0.0006424372,0.000079926336,0.00025803666,0.000384527,0.13996911],"genre_scores_gemma":[0.927119,0.0018497815,0.03939113,0.0005715211,0.0005133291,0.00016964022,0.00016403708,0.00013767801,0.03008374],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994307,0.00013945937,0.00003139873,0.000094078896,0.00021399795,0.00009031118],"domain_scores_gemma":[0.99915826,0.00035428265,0.0001343435,0.00006371382,0.00017259228,0.00011680405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009313355,0.00043446376,0.00063352985,0.0013688182,0.0011404684,0.0018365408,0.00077137555,0.0007132663,0.0039363047],"category_scores_gemma":[0.0018890494,0.00022535938,0.0009777821,0.000578579,0.002463341,0.0030215068,0.0013971147,0.0020878857,0.0006094011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000015388769,0.000007986954,0.00007863927,0.00004368482,0.000007792419,0.00005626767,0.00011693095,0.00074993056,0.0019086597,0.99394023,0.00038690685,0.0026876696],"study_design_scores_gemma":[0.000012808573,0.000032786975,0.00026464928,0.000021550177,0.000009873487,0.000231975,0.000081764796,0.013882376,0.0014176853,0.9808625,0.0031638897,0.000018124187],"about_ca_topic_score_codex":0.000495918,"about_ca_topic_score_gemma":0.0003956489,"teacher_disagreement_score":0.0039363047,"about_ca_system_score_codex":0.00078267837,"about_ca_system_score_gemma":0.0007441144,"threshold_uncertainty_score":0.013168216},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.26723042,0.0010477306,0.69352454,0.00052876136,0.00020629169,0.00008287871,0.00013753421,0.00022311108,0.037018653],"genre_scores_gemma":[0.93154836,0.000882862,0.05431398,0.00020256042,0.00018968528,0.0000875419,0.00012749278,0.00007179086,0.012575823],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99954766,0.000076127835,0.000018176743,0.00008939965,0.00020968953,0.000058782953],"domain_scores_gemma":[0.99937767,0.00013627484,0.000111282425,0.00010409428,0.00017362676,0.0000971292],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007178498,0.00043772918,0.00037102573,0.00078510796,0.00059090636,0.000913448,0.0009499781,0.00062031765,0.0025007592],"category_scores_gemma":[0.00174479,0.00015427613,0.0006724035,0.00053095317,0.0013532643,0.0026796437,0.0011859388,0.0014829363,0.00034000658],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000034393222,0.000019355062,0.00031088508,0.00005117537,0.000010050463,0.00010908119,0.00012615407,0.007248818,0.009713899,0.9707863,0.00038343007,0.011206457],"study_design_scores_gemma":[0.000029345865,0.00015631758,0.0011310419,0.000035523568,0.000023571161,0.0010255019,0.00024986267,0.27237916,0.00948521,0.7071778,0.008252671,0.000054095788],"about_ca_topic_score_codex":0.0006598652,"about_ca_topic_score_gemma":0.00040649675,"teacher_disagreement_score":0.0025007592,"about_ca_system_score_codex":0.0005749319,"about_ca_system_score_gemma":0.00060008524,"threshold_uncertainty_score":0.008365929},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.037120022,0.0043269414,0.8455792,0.0025962156,0.0012819698,0.00014403427,0.00026728294,0.00032638438,0.10835795],"genre_scores_gemma":[0.64571095,0.015993875,0.2671347,0.0030902256,0.0028944232,0.00038431073,0.00076902873,0.0005768505,0.06344562],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9981225,0.00045163577,0.00012360148,0.00034842527,0.0007409787,0.0002128696],"domain_scores_gemma":[0.9967849,0.001438753,0.00019297817,0.00044478136,0.0008601689,0.00027843635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0031161814,0.0009205758,0.00081712066,0.0025889075,0.0011370465,0.001736583,0.0017452734,0.0010063152,0.008120591],"category_scores_gemma":[0.009349321,0.0003145345,0.0019028201,0.002033457,0.0027092218,0.0052370154,0.0029712077,0.0038412353,0.0013115936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000022258668,0.000028389586,0.0002926052,0.00021904503,0.000017943737,0.00011183319,0.0002446597,0.003300118,0.002383287,0.9739171,0.0016114196,0.017851396],"study_design_scores_gemma":[0.000011324849,0.00007028356,0.0006916881,0.000068880065,0.000031783136,0.00038888853,0.00015767661,0.02708921,0.0033487335,0.94848764,0.019615864,0.000037993897],"about_ca_topic_score_codex":0.0024648577,"about_ca_topic_score_gemma":0.0014048738,"teacher_disagreement_score":0.008120591,"about_ca_system_score_codex":0.0015625592,"about_ca_system_score_gemma":0.0014415247,"threshold_uncertainty_score":0.027166128},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11875488,0.0037848696,0.72795534,0.0032673993,0.00096745143,0.00018241043,0.00025197113,0.00030201118,0.14453366],"genre_scores_gemma":[0.84064573,0.0058358572,0.10985841,0.0011219248,0.0013098835,0.00019434407,0.00031123278,0.0002233725,0.040499337],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9990607,0.00021013597,0.0000698507,0.00018088958,0.00034089995,0.00013749965],"domain_scores_gemma":[0.9979603,0.00094475556,0.00025348962,0.00028368627,0.00036020996,0.00019747874],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022633022,0.0007569708,0.0007660566,0.0023621472,0.0013050124,0.0017324225,0.0015104178,0.0011491813,0.007042793],"category_scores_gemma":[0.0055726143,0.00025702824,0.002606503,0.0013661804,0.0027097422,0.005660966,0.002267403,0.0033158625,0.0008591327],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018097839,0.000016053502,0.00022153358,0.00012497527,0.000012419947,0.00010260645,0.0001923884,0.0011888773,0.0015832465,0.98890567,0.000557843,0.007076406],"study_design_scores_gemma":[0.000013386468,0.00008119114,0.0010648832,0.000047511458,0.000029043891,0.00053564797,0.00013619292,0.019087028,0.0029031362,0.96756226,0.008508398,0.00003133982],"about_ca_topic_score_codex":0.00089572405,"about_ca_topic_score_gemma":0.0006621504,"teacher_disagreement_score":0.007042793,"about_ca_system_score_codex":0.0012494618,"about_ca_system_score_gemma":0.000785979,"threshold_uncertainty_score":0.023560524},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20700943,0.0005518419,0.7448294,0.000635634,0.0007074046,0.000121187,0.000081786486,0.00030805334,0.045755275],"genre_scores_gemma":[0.8665684,0.0003859851,0.10699287,0.00039858755,0.00030499854,0.00013068764,0.00010379458,0.00014061312,0.024974104],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982455,0.0004097601,0.00010014873,0.00025218696,0.0007889848,0.00020345276],"domain_scores_gemma":[0.9980724,0.0004983672,0.00022425977,0.000166295,0.0006819603,0.00035670234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018252269,0.0004883308,0.00066836184,0.0015432347,0.0008525991,0.0015352111,0.0009943799,0.00096238905,0.0049769585],"category_scores_gemma":[0.0041254023,0.00036002207,0.0010135,0.0006185704,0.0018378734,0.0029203088,0.0018027399,0.001812356,0.0006752438],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010422448,0.00006032256,0.00033341543,0.000048828904,0.000019178397,0.00016139154,0.00018675168,0.004751711,0.017055012,0.9697611,0.0004108637,0.0071071326],"study_design_scores_gemma":[0.000055239674,0.00021990677,0.0006446601,0.000041969575,0.0000277869,0.0005489959,0.00027306727,0.25344092,0.024783222,0.71214646,0.0077566025,0.00006113471],"about_ca_topic_score_codex":0.00084321026,"about_ca_topic_score_gemma":0.00063602085,"teacher_disagreement_score":0.0049769585,"about_ca_system_score_codex":0.0009825133,"about_ca_system_score_gemma":0.0008688593,"threshold_uncertainty_score":0.016649604},"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":"other","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004146364,0.08072349,0.20936404,0.021171477,0.0046480456,0.00017785215,0.01865865,0.009549474,0.6515606],"genre_scores_gemma":[0.113320075,0.089997336,0.18299808,0.004534347,0.0074338787,0.00060230785,0.024358762,0.005306588,0.5714487],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9994072,0.00010739387,0.000040722367,0.00010281092,0.00031150604,0.000030370917],"domain_scores_gemma":[0.9983386,0.00061181776,0.00007398404,0.000357213,0.00045869814,0.00015966948],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013465392,0.00081032474,0.0012909177,0.002762694,0.0006692583,0.0030260752,0.0008059316,0.00095032423,0.15322027],"category_scores_gemma":[0.0041643474,0.00047803746,0.00075954356,0.0027993359,0.0007001297,0.0032734163,0.001869131,0.002818226,0.0550271],"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":[0.000020690964,0.00005266056,0.0003703475,0.00042866645,0.00005167926,0.000050137678,0.000101778474,0.0005530899,0.0006027723,0.2118226,0.62990403,0.1560417],"study_design_scores_gemma":[0.000019291194,0.00002350959,0.0014685222,0.00019704079,0.000027898686,0.00026405673,0.00006834745,0.0034932094,0.0006112698,0.28099516,0.7128109,0.000020793887],"about_ca_topic_score_codex":0.0014568168,"about_ca_topic_score_gemma":0.0021239158,"teacher_disagreement_score":0.15322027,"about_ca_system_score_codex":0.0011451157,"about_ca_system_score_gemma":0.0010412808,"threshold_uncertainty_score":0.5125729},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.051235873,0.00051418546,0.93869674,0.0003445646,0.00008316295,0.000022928536,0.00001586639,0.00009505273,0.008991584],"genre_scores_gemma":[0.8277697,0.0008113999,0.1614999,0.00017996012,0.0001589144,0.000086527405,0.00005465048,0.00011358551,0.009325473],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989988,0.00043083337,0.000043263262,0.00010483363,0.00034538648,0.00007693484],"domain_scores_gemma":[0.9969267,0.0018567418,0.00025803002,0.00031004942,0.00042731687,0.00022109387],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0024391913,0.00057317695,0.0005560144,0.0014586812,0.0008585505,0.001309927,0.0015545075,0.00095962983,0.002573136],"category_scores_gemma":[0.006896241,0.0003226167,0.0006822967,0.00061893224,0.0028865037,0.003735738,0.0018659559,0.0022517187,0.00039775154],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00001303637,0.000019769157,0.00025660198,0.00005069198,0.000008582316,0.000029779763,0.00013418,0.015139215,0.0020465225,0.97667766,0.0001398503,0.005484043],"study_design_scores_gemma":[0.000008863699,0.000051908828,0.00023924606,0.000030087424,0.000008414035,0.00008580647,0.0000730221,0.3810198,0.002584587,0.6144852,0.0013850766,0.000028062675],"about_ca_topic_score_codex":0.0009510502,"about_ca_topic_score_gemma":0.0005642244,"teacher_disagreement_score":0.002573136,"about_ca_system_score_codex":0.00091861316,"about_ca_system_score_gemma":0.00061130006,"threshold_uncertainty_score":0.012899816},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.23157722,0.00086076715,0.7400409,0.00038189825,0.00057831843,0.000092672155,0.0001112592,0.0003091291,0.026047785],"genre_scores_gemma":[0.79484546,0.0006825981,0.17573977,0.0003463504,0.00038937325,0.00018303466,0.00016820103,0.00035750988,0.02728776],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998858,0.00028285387,0.00008778848,0.00024534468,0.00037783867,0.00014820066],"domain_scores_gemma":[0.99782866,0.0005661143,0.00034600496,0.00047881604,0.00048400532,0.00029631663],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0022517133,0.0007993497,0.0006413186,0.0011581132,0.00079701666,0.001342617,0.0014449883,0.0014725436,0.0042561265],"category_scores_gemma":[0.0056286,0.00031615465,0.001389024,0.00065929093,0.0018642367,0.0032727257,0.0026161154,0.0024981496,0.0007212376],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00022410501,0.00007247854,0.000590486,0.000108954475,0.000033454646,0.00034267278,0.0004311004,0.011871725,0.03756156,0.92633086,0.00062458933,0.02180812],"study_design_scores_gemma":[0.000079043966,0.00051585975,0.0013189635,0.00008537413,0.00006166492,0.0010063767,0.0002863751,0.24095336,0.038881734,0.7013496,0.015314537,0.00014707429],"about_ca_topic_score_codex":0.00044897036,"about_ca_topic_score_gemma":0.0003327892,"teacher_disagreement_score":0.0042561265,"about_ca_system_score_codex":0.00089436554,"about_ca_system_score_gemma":0.0005698476,"threshold_uncertainty_score":0.014238179},"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":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.13776316,0.0010265335,0.8322143,0.0010600929,0.00020763498,0.000056585184,0.00015192089,0.00013478532,0.027384993],"genre_scores_gemma":[0.8892875,0.00090675557,0.099482834,0.0003726595,0.00028407868,0.00015171207,0.0002022703,0.00008308032,0.009229134],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980465,0.00065820006,0.000099998506,0.00021681075,0.00081518973,0.00016325546],"domain_scores_gemma":[0.99605995,0.0018187613,0.000512545,0.00037068193,0.0009015448,0.0003363727],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003810872,0.0006250243,0.00070526777,0.0019400535,0.0008756575,0.0021661774,0.0015524641,0.0010783446,0.0023994276],"category_scores_gemma":[0.010092807,0.0002789095,0.0011581508,0.001174424,0.0033784357,0.0047462583,0.0024683129,0.002349613,0.0004257782],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000045272322,0.000006255098,0.0001417349,0.000015066615,0.0000035015714,0.000027005264,0.000041283332,0.0018063239,0.00041857382,0.9961253,0.00010162156,0.0013087556],"study_design_scores_gemma":[0.000008441132,0.000035227713,0.00039062215,0.000016930351,0.000005703277,0.0001897344,0.000077109384,0.08185846,0.0010037714,0.9146408,0.001754739,0.000018451761],"about_ca_topic_score_codex":0.0010898011,"about_ca_topic_score_gemma":0.00060725206,"teacher_disagreement_score":0.003810872,"about_ca_system_score_codex":0.001504968,"about_ca_system_score_gemma":0.001374707,"threshold_uncertainty_score":0.020154059},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.36769626,0.002668884,0.54952383,0.003788392,0.0005688159,0.00005828878,0.00044474335,0.00032526624,0.07492548],"genre_scores_gemma":[0.9290706,0.0010804414,0.051544804,0.0004948282,0.0005332461,0.00013956564,0.00039180735,0.00015075528,0.016594013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99920446,0.00025420633,0.000030852287,0.00018738868,0.00021544706,0.00010762469],"domain_scores_gemma":[0.9957694,0.0018659006,0.0005022815,0.00024616515,0.0009113885,0.0007049176],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010523996,0.0008247784,0.0003959602,0.0018844168,0.00089629047,0.0020292075,0.00093121885,0.0010984421,0.004744486],"category_scores_gemma":[0.007050914,0.00023026245,0.0004235362,0.00068655936,0.0033373858,0.0029614305,0.00166795,0.0023059829,0.0009973415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008486356,0.000017638833,0.0005702055,0.00005699937,0.000009956431,0.000111353445,0.00021145344,0.006296816,0.0045471024,0.97681105,0.0023048045,0.008977952],"study_design_scores_gemma":[0.000011881925,0.00008233835,0.0006280886,0.000034566197,0.0000060305697,0.00020003843,0.00017987112,0.09366571,0.0047051557,0.89557236,0.004879143,0.000034729324],"about_ca_topic_score_codex":0.0011860721,"about_ca_topic_score_gemma":0.00067886594,"teacher_disagreement_score":0.004744486,"about_ca_system_score_codex":0.0009586712,"about_ca_system_score_gemma":0.00053424836,"threshold_uncertainty_score":0.015871942},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2085672,0.014377821,0.45989707,0.01655868,0.0015844294,0.00007055349,0.0005860366,0.00045211695,0.29790613],"genre_scores_gemma":[0.90129435,0.007771628,0.04146384,0.0019250562,0.003468361,0.00014251837,0.0005198043,0.00024827238,0.043166168],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984647,0.0005849832,0.00009731962,0.00026729575,0.00039886052,0.00018681829],"domain_scores_gemma":[0.9907601,0.0059423572,0.0006385688,0.000665608,0.0010954697,0.0008978478],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006503259,0.0011962372,0.0018623387,0.0036585426,0.0025535563,0.0036418992,0.0023322871,0.0017409314,0.008477552],"category_scores_gemma":[0.013327694,0.00058801944,0.0025281708,0.0034568862,0.007956148,0.010678121,0.0036268753,0.0068211537,0.00060936296],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000018405495,0.000016118418,0.00011055784,0.000042503085,0.00000983054,0.000026055406,0.00009835421,0.00042449872,0.00015913665,0.99735355,0.00046379137,0.0012771346],"study_design_scores_gemma":[0.000006947177,0.000014239247,0.00025572354,0.0000126365385,0.0000142849485,0.00005592687,0.00005052095,0.0031527407,0.00020414362,0.9945933,0.0016312663,0.000008190836],"about_ca_topic_score_codex":0.0012896083,"about_ca_topic_score_gemma":0.0010229723,"teacher_disagreement_score":0.008477552,"about_ca_system_score_codex":0.0028569184,"about_ca_system_score_gemma":0.0011141055,"threshold_uncertainty_score":0.034392893},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.24028237,0.012750852,0.4606241,0.06467876,0.0025179095,0.00032365072,0.0010813491,0.0014861845,0.2162548],"genre_scores_gemma":[0.78030187,0.0054856287,0.121022485,0.004372369,0.0018120875,0.0006889794,0.00088119117,0.00092650886,0.08450886],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99290246,0.0029456469,0.00023135876,0.0011418223,0.0016675441,0.0011111121],"domain_scores_gemma":[0.9513094,0.03897563,0.0011061631,0.0025971618,0.0045559253,0.0014557779],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006917193,0.0012066984,0.0023402348,0.0020910047,0.00317282,0.007858331,0.0027240964,0.0054835766,0.02147527],"category_scores_gemma":[0.054022256,0.0007205025,0.002087553,0.0021660824,0.006046493,0.012335926,0.0044880756,0.011056946,0.002945342],"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":[0.00046726645,0.00011061093,0.0017098181,0.0003972717,0.0000480119,0.00010907421,0.00046709893,0.009585166,0.0020082481,0.93228894,0.007838666,0.044969983],"study_design_scores_gemma":[0.00009904903,0.00022500852,0.00136379,0.00025366346,0.00006520907,0.0003380127,0.00077707786,0.076988295,0.0048350967,0.8890613,0.025940461,0.000053067153],"about_ca_topic_score_codex":0.0059567643,"about_ca_topic_score_gemma":0.0053898515,"teacher_disagreement_score":0.02147527,"about_ca_system_score_codex":0.005213474,"about_ca_system_score_gemma":0.0036840583,"threshold_uncertainty_score":0.071842015},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.39284247,0.0024064982,0.56251955,0.0014955074,0.00043106242,0.00005851079,0.00020253335,0.00026588203,0.039777927],"genre_scores_gemma":[0.956533,0.0006581415,0.029762186,0.0002428973,0.00028630148,0.000045553425,0.00009609188,0.00008618205,0.012289665],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9991185,0.00026134186,0.00004531684,0.00015490918,0.0002682898,0.0001516501],"domain_scores_gemma":[0.9981267,0.0007195258,0.0003048133,0.00014552906,0.0004159352,0.00028745757],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013830686,0.0006188476,0.0006452448,0.0016553135,0.00071453076,0.0015163609,0.0010762408,0.00077981997,0.004443983],"category_scores_gemma":[0.0036118047,0.00024968825,0.00089001685,0.0007466534,0.0023486877,0.0023638087,0.0012790109,0.0018530241,0.00043855826],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012487805,0.00003373575,0.00042330753,0.00006924873,0.000023171406,0.00022062655,0.00015117321,0.0052654655,0.0066390173,0.97972417,0.0008797005,0.006445553],"study_design_scores_gemma":[0.00004957582,0.00013895267,0.0013741818,0.000037783917,0.000028372617,0.00082525413,0.00022658308,0.2975923,0.005437162,0.6900511,0.0041636243,0.000075121796],"about_ca_topic_score_codex":0.0010949147,"about_ca_topic_score_gemma":0.0005030111,"teacher_disagreement_score":0.004443983,"about_ca_system_score_codex":0.0010454796,"about_ca_system_score_gemma":0.000605183,"threshold_uncertainty_score":0.0148665905},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2401207,0.002335057,0.7097737,0.001998002,0.0003675393,0.00008915861,0.00069505826,0.0003698741,0.04425098],"genre_scores_gemma":[0.9610747,0.00114921,0.027087415,0.00051095005,0.0004978667,0.00007752778,0.000360011,0.00011472385,0.009127518],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99898344,0.00031684616,0.00005641516,0.00021562671,0.0002626479,0.00016504788],"domain_scores_gemma":[0.99618596,0.0016351887,0.0007118699,0.00048032962,0.000570076,0.00041664872],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015362361,0.0005931313,0.00051182864,0.0014114643,0.0006352969,0.0020260967,0.0013326945,0.0007456043,0.005857647],"category_scores_gemma":[0.009838372,0.00021054593,0.00045252542,0.0012583656,0.0017036484,0.004053173,0.0017418019,0.0018655758,0.0007328064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000044780092,0.00001374976,0.0009991389,0.000037736034,0.00000924502,0.00010979178,0.00012564614,0.003021822,0.0010795102,0.9880532,0.0009698913,0.0055354238],"study_design_scores_gemma":[0.000027128066,0.00007457107,0.0017390747,0.00005778045,0.000015184761,0.0005114641,0.00022715288,0.09974298,0.0020869225,0.8849617,0.010510237,0.0000458471],"about_ca_topic_score_codex":0.00051452656,"about_ca_topic_score_gemma":0.00031880062,"teacher_disagreement_score":0.005857647,"about_ca_system_score_codex":0.0012410482,"about_ca_system_score_gemma":0.00044735937,"threshold_uncertainty_score":0.019595802},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12682344,0.0015861585,0.7300437,0.0030259076,0.0008917893,0.00015104293,0.00042286445,0.00044972968,0.13660547],"genre_scores_gemma":[0.80918056,0.0016539275,0.14167842,0.0014704865,0.0010237885,0.0003585117,0.00041650914,0.0006794068,0.04353843],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9982318,0.00038131542,0.00014524988,0.00044525287,0.00052570336,0.00027061638],"domain_scores_gemma":[0.9968755,0.0016378654,0.0002110367,0.00039791514,0.0006121254,0.00026548936],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026999637,0.0007008667,0.0015395574,0.0021867862,0.0025084955,0.00464217,0.0016379171,0.001694588,0.0075989733],"category_scores_gemma":[0.0068856655,0.00084313034,0.0028611815,0.0017288876,0.0049206493,0.0079098465,0.0033038335,0.004915061,0.0014421586],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000057223274,0.000006743527,0.00006450045,0.000008029955,0.0000048179018,0.000050600724,0.00007594316,0.00023497941,0.00019668908,0.9973882,0.0004530321,0.0015106931],"study_design_scores_gemma":[0.000007118592,0.0000040945743,0.00008601352,0.000004976417,0.000006099687,0.00006631769,0.000020442749,0.0037573588,0.00022281015,0.9943036,0.001510053,0.000011046213],"about_ca_topic_score_codex":0.0015614711,"about_ca_topic_score_gemma":0.0012188142,"teacher_disagreement_score":0.0075989733,"about_ca_system_score_codex":0.0015903322,"about_ca_system_score_gemma":0.0009793064,"threshold_uncertainty_score":0.025421083},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0594819,0.002145965,0.8889881,0.0013945821,0.00069475675,0.00006799104,0.00024591174,0.0001225066,0.046858326],"genre_scores_gemma":[0.82418245,0.002514228,0.14347118,0.00132614,0.0015702435,0.00022711002,0.00047252837,0.00013394548,0.026102206],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998667,0.00035284765,0.000080914,0.0002700281,0.00045849255,0.00017065754],"domain_scores_gemma":[0.99739444,0.00079798384,0.00036415865,0.00015208505,0.001015698,0.00027559433],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002004389,0.00084783154,0.00066398364,0.0019886694,0.0006680622,0.0014086418,0.0007957686,0.0009300431,0.0064191334],"category_scores_gemma":[0.004401047,0.0001978321,0.0010275847,0.0007439655,0.0017805082,0.0032269857,0.0012591466,0.0020668977,0.00068246387],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003375118,0.000015248841,0.00022807167,0.000055664015,0.000009410456,0.00009080582,0.00011907775,0.0030086034,0.0039226715,0.98639894,0.0011425818,0.0049751173],"study_design_scores_gemma":[0.000015691927,0.00007527364,0.0005600879,0.000042194853,0.000010056432,0.00020176377,0.0001299092,0.07697335,0.001903842,0.9136813,0.006373983,0.00003250264],"about_ca_topic_score_codex":0.0015511299,"about_ca_topic_score_gemma":0.0010924398,"teacher_disagreement_score":0.0064191334,"about_ca_system_score_codex":0.0013744667,"about_ca_system_score_gemma":0.0007464834,"threshold_uncertainty_score":0.021474123},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5405572,0.0010707476,0.4377387,0.00058066833,0.000104992294,0.00005012321,0.00022748366,0.0001402212,0.019529982],"genre_scores_gemma":[0.9569581,0.0005276024,0.033941753,0.00009391649,0.00012454308,0.00007572124,0.0002901878,0.000063646425,0.007924484],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9988925,0.00033068596,0.0000699712,0.00022825328,0.00031176486,0.00016685518],"domain_scores_gemma":[0.9966814,0.0012100119,0.00051347824,0.00018392186,0.0008581287,0.0005530481],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001796846,0.0007355171,0.0006782399,0.0016642102,0.0008023599,0.001641955,0.00074162,0.00059391925,0.0033374175],"category_scores_gemma":[0.005166584,0.00027973103,0.00097522454,0.0005802767,0.0028311643,0.0027474025,0.0013877269,0.0012249944,0.0003412962],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008719157,0.00002277239,0.00047782945,0.000057810994,0.000017441973,0.00012841595,0.00022432949,0.0059644575,0.004840515,0.9839565,0.00030165797,0.0039210436],"study_design_scores_gemma":[0.000035277408,0.00014523252,0.0008856928,0.000053500826,0.000016121874,0.00030172194,0.0002718489,0.11163743,0.004360749,0.87986165,0.0023889816,0.00004171344],"about_ca_topic_score_codex":0.0017113953,"about_ca_topic_score_gemma":0.0007661347,"teacher_disagreement_score":0.0033374175,"about_ca_system_score_codex":0.0014183107,"about_ca_system_score_gemma":0.0008282137,"threshold_uncertainty_score":0.011164784},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0064531732,0.00039474177,0.9767546,0.00026829322,0.00017259864,0.000032742395,0.00013382747,0.0001772069,0.015612854],"genre_scores_gemma":[0.5305331,0.0020358358,0.40652025,0.0007543325,0.0014456027,0.00032433352,0.0009047635,0.0010824394,0.05639939],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9975775,0.00079909415,0.00019351805,0.00045985833,0.0008124145,0.00015767572],"domain_scores_gemma":[0.99539006,0.0021612141,0.0003992299,0.0008212131,0.0009906911,0.00023765975],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0047942568,0.0011907734,0.000726339,0.0023891553,0.0007532807,0.002450721,0.0014599438,0.0008437527,0.010880409],"category_scores_gemma":[0.013344797,0.00039454308,0.0015950934,0.001982418,0.0024548324,0.0048367837,0.0023782786,0.0035803383,0.002135644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007661251,0.00004399843,0.00055231334,0.00016397724,0.0000642225,0.00018100461,0.00018484783,0.02126705,0.0025551026,0.9015788,0.0026468069,0.07068536],"study_design_scores_gemma":[0.000018308425,0.00010289375,0.0005188248,0.000057866917,0.00005469437,0.00018543212,0.000049914946,0.2988944,0.0027691193,0.6835696,0.013742679,0.000036174948],"about_ca_topic_score_codex":0.0015992115,"about_ca_topic_score_gemma":0.0013016056,"teacher_disagreement_score":0.010880409,"about_ca_system_score_codex":0.0010712409,"about_ca_system_score_gemma":0.0010346476,"threshold_uncertainty_score":0.03639859},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1008252,0.0007749743,0.8753295,0.0007218197,0.00015411549,0.000053187796,0.000101396756,0.0000874409,0.021952322],"genre_scores_gemma":[0.82953805,0.0013217091,0.1577026,0.00042720095,0.00025567604,0.00014288038,0.00016617114,0.00007502173,0.010370797],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99887615,0.00035764265,0.000073596464,0.0001749613,0.00040199494,0.00011568548],"domain_scores_gemma":[0.9969823,0.0014725976,0.0003898348,0.00026578482,0.0006283952,0.0002611138],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033812548,0.00057609234,0.00058782584,0.0016958799,0.0008699731,0.0017981636,0.001288369,0.00096461276,0.002853926],"category_scores_gemma":[0.0076278197,0.0002715572,0.0011525172,0.000884185,0.0030075798,0.0041055423,0.0017888168,0.0023700634,0.0003644231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000067959027,0.000008581114,0.00017253374,0.00002678732,0.000005233922,0.000047285248,0.00009325178,0.0021804464,0.00067416445,0.99438184,0.00013043018,0.0022727645],"study_design_scores_gemma":[0.00000851116,0.000056406316,0.000380001,0.000034157452,0.000011075329,0.00024863982,0.000118891396,0.090602234,0.0020784938,0.90355486,0.0028839118,0.0000227251],"about_ca_topic_score_codex":0.00089142774,"about_ca_topic_score_gemma":0.0005663389,"teacher_disagreement_score":0.0033812548,"about_ca_system_score_codex":0.0014202908,"about_ca_system_score_gemma":0.00095325056,"threshold_uncertainty_score":0.01788199},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21103457,0.00360285,0.73926044,0.0016749536,0.0003851627,0.000054150256,0.00022845034,0.00008222652,0.043677248],"genre_scores_gemma":[0.89916193,0.0017482773,0.083870634,0.00052018726,0.00062963617,0.000112759284,0.00030537462,0.000047140096,0.013604123],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99905115,0.0002795966,0.000053052212,0.00020287903,0.00032058198,0.00009275803],"domain_scores_gemma":[0.9983211,0.00054957584,0.0003230694,0.00010584791,0.00048230478,0.0002179652],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013936218,0.0006174663,0.00038965195,0.0014147048,0.0004954826,0.0015683373,0.0007424385,0.0007677923,0.0024354153],"category_scores_gemma":[0.0027565341,0.00018817832,0.0006354005,0.00082938647,0.0014757821,0.0031714812,0.0015204772,0.0016931768,0.00030119123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028839057,0.000016450644,0.00043589322,0.000052236075,0.000013025921,0.000098242286,0.00010938761,0.004759532,0.0049486654,0.9856015,0.00041968105,0.0035166114],"study_design_scores_gemma":[0.000019468207,0.00014650966,0.0012588424,0.000047495418,0.00001711398,0.00048001396,0.00025166682,0.20252767,0.004183142,0.7808442,0.010185623,0.000038207778],"about_ca_topic_score_codex":0.0009158371,"about_ca_topic_score_gemma":0.0007177545,"teacher_disagreement_score":0.0024354153,"about_ca_system_score_codex":0.0010092211,"about_ca_system_score_gemma":0.00048458943,"threshold_uncertainty_score":0.008147299},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019643048,0.0007602382,0.9652082,0.00072897866,0.00016029792,0.000102977945,0.000058612597,0.00006546288,0.013272199],"genre_scores_gemma":[0.5712199,0.0035597326,0.396228,0.00078319496,0.00055221067,0.0012020993,0.0002454107,0.00030050986,0.025908932],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980159,0.0009966979,0.00010459254,0.00021598891,0.0005351199,0.00013173456],"domain_scores_gemma":[0.99379396,0.0041893143,0.00031393665,0.00022757062,0.0010903366,0.00038479347],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007538941,0.0022293346,0.0011400752,0.0022954808,0.0012558199,0.002069941,0.0019584573,0.0014838623,0.0040271766],"category_scores_gemma":[0.012089104,0.0006958181,0.0031596455,0.0010714368,0.0038810628,0.004321806,0.004324308,0.005672998,0.00056449714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000057813722,0.000056825633,0.00035605897,0.00022684949,0.00006931986,0.00016839882,0.00034142123,0.03016669,0.0061319997,0.950611,0.00092645775,0.010887156],"study_design_scores_gemma":[0.000028187656,0.00015098971,0.0002721703,0.00009227642,0.000034106124,0.00021683566,0.00011876741,0.4636213,0.0042912196,0.527584,0.003549599,0.000040502295],"about_ca_topic_score_codex":0.0010607206,"about_ca_topic_score_gemma":0.00086962053,"teacher_disagreement_score":0.007538941,"about_ca_system_score_codex":0.0018624106,"about_ca_system_score_gemma":0.0021730205,"threshold_uncertainty_score":0.039870203},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.102218114,0.0034664136,0.88258654,0.0020100584,0.00013855324,0.000055643162,0.00012082672,0.0001110254,0.009292838],"genre_scores_gemma":[0.83236897,0.002178713,0.15335695,0.00038799868,0.00022697881,0.00017626962,0.0002219432,0.00017795122,0.010904245],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986652,0.00055985985,0.00006888696,0.00023527959,0.00028705032,0.00018364162],"domain_scores_gemma":[0.992716,0.0052843476,0.00064511463,0.0003000273,0.0005957522,0.00045878993],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0048009595,0.0014657883,0.0015613508,0.0019627635,0.0009598396,0.0022371055,0.0016053566,0.0019505491,0.0023632196],"category_scores_gemma":[0.016629077,0.0004718308,0.0015483961,0.0010357344,0.0043121423,0.005127162,0.0033609855,0.003613228,0.0002542046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00023009212,0.00008230809,0.001521461,0.00038689416,0.000092356415,0.00026234327,0.00039649085,0.13829438,0.0064610094,0.83940214,0.0009524665,0.011917998],"study_design_scores_gemma":[0.000016519345,0.000097010074,0.00041169088,0.000075575736,0.00002876347,0.000072042414,0.00010641972,0.7951634,0.0023104285,0.2008194,0.00086607947,0.00003276675],"about_ca_topic_score_codex":0.0033064175,"about_ca_topic_score_gemma":0.0023235085,"teacher_disagreement_score":0.0048009595,"about_ca_system_score_codex":0.0030605723,"about_ca_system_score_gemma":0.0014427959,"threshold_uncertainty_score":0.025390208},"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":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04352911,0.023244562,0.08793624,0.37229905,0.006358256,0.00006569021,0.00072859635,0.00036344505,0.4654751],"genre_scores_gemma":[0.71566826,0.019228416,0.036436222,0.060799852,0.01282035,0.00023442836,0.00075353216,0.0006000296,0.15345891],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99847454,0.00061143783,0.00007395446,0.00034840376,0.0003360717,0.00015570839],"domain_scores_gemma":[0.991884,0.005665015,0.00030784926,0.0006961455,0.00114896,0.00029798842],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033421556,0.00047816325,0.0011973291,0.0017481253,0.00536133,0.005615405,0.0017903757,0.003994469,0.018655695],"category_scores_gemma":[0.019047193,0.00029182655,0.00081737695,0.0035044774,0.011008394,0.024180327,0.004481672,0.0057301107,0.0031438714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021617587,0.0000090297635,0.000092959825,0.000021893571,0.000003907918,0.000016167496,0.0005327894,0.00007990324,0.000041902913,0.9817655,0.013515287,0.0038990637],"study_design_scores_gemma":[0.000014926616,0.00000838015,0.00014884093,0.000035412817,0.000005670066,0.000058783273,0.00042736036,0.00027150408,0.000075961376,0.9589058,0.040039055,0.000008379208],"about_ca_topic_score_codex":0.0030932613,"about_ca_topic_score_gemma":0.0019843178,"teacher_disagreement_score":0.018655695,"about_ca_system_score_codex":0.0023939803,"about_ca_system_score_gemma":0.0015285296,"threshold_uncertainty_score":0.06240952},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.031435873,0.012950826,0.1457661,0.005641138,0.0029426904,0.000052706622,0.00033809553,0.00027605,0.8005966],"genre_scores_gemma":[0.2410717,0.013135778,0.05680967,0.0012731287,0.0024990165,0.00016266816,0.00039001377,0.00034677808,0.6843112],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997198,0.000075319214,0.000014118265,0.00003645768,0.0001214049,0.000032883727],"domain_scores_gemma":[0.9997453,0.00012337719,0.000018489176,0.000025082525,0.000056996578,0.00003079448],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053273584,0.000707314,0.000430514,0.0011247264,0.0011535782,0.0022904235,0.000613362,0.0007907429,0.012582852],"category_scores_gemma":[0.0009850336,0.00028980474,0.00053466205,0.0016265073,0.0017261361,0.002769173,0.0009740016,0.0030118737,0.0023637332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000035600867,0.000005349412,0.000009865553,0.000015739299,0.0000011506088,0.000009938511,0.000088317385,0.00014572106,0.00032525972,0.988677,0.0039068745,0.006811342],"study_design_scores_gemma":[0.000003678562,0.00001082155,0.0001278126,0.000020719153,0.0000029271498,0.00007506961,0.00006875215,0.0015868545,0.0005376739,0.94344115,0.0541171,0.000007589408],"about_ca_topic_score_codex":0.0010853993,"about_ca_topic_score_gemma":0.000909351,"teacher_disagreement_score":0.012582852,"about_ca_system_score_codex":0.001731739,"about_ca_system_score_gemma":0.0006108138,"threshold_uncertainty_score":0.042093813},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.004140697,0.00081431185,0.40474987,0.0070617427,0.004357062,0.0033067071,0.31535622,0.1474238,0.11278956],"genre_scores_gemma":[0.048536222,0.0012539444,0.3437209,0.004571545,0.0013559717,0.015773349,0.25225776,0.14446665,0.18806362],"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.98083925,0.005960931,0.0020045722,0.0034112304,0.0068387296,0.0009453463],"domain_scores_gemma":[0.9401392,0.026313309,0.0026533802,0.015823618,0.0136023015,0.0014682565],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.015382131,0.0033983174,0.0028320423,0.005399023,0.002573097,0.008519745,0.006197499,0.0023078178,0.52336025],"category_scores_gemma":[0.13046117,0.002575581,0.0047486555,0.008637711,0.0019693174,0.0076802773,0.006157306,0.006537326,0.29843113],"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":[0.0004781593,0.000106146574,0.0014473317,0.0008478418,0.00019608017,0.000109257315,0.0003097394,0.0012711795,0.001072117,0.007794962,0.91972846,0.06663867],"study_design_scores_gemma":[0.0003675228,0.00016718116,0.004154795,0.0007206598,0.00020348284,0.00022107431,0.000514379,0.011727924,0.007240108,0.040261913,0.9342149,0.00020607669],"about_ca_topic_score_codex":0.011134376,"about_ca_topic_score_gemma":0.011129384,"teacher_disagreement_score":0.52336025,"about_ca_system_score_codex":0.003476922,"about_ca_system_score_gemma":0.007521205,"threshold_uncertainty_score":0.6798687},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.010178978,0.0034137552,0.97062474,0.00062186026,0.0007919986,0.000090648515,0.00018656824,0.00012329326,0.013968193],"genre_scores_gemma":[0.3197145,0.0152576845,0.63025624,0.0025132839,0.005035204,0.001259587,0.0013769689,0.0009184758,0.023668163],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9943944,0.002181174,0.00060044846,0.000985698,0.0015707051,0.000267676],"domain_scores_gemma":[0.9914247,0.0045724064,0.0005265368,0.0005889368,0.002539072,0.00034829648],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0109689105,0.0015130247,0.0013153033,0.005501695,0.0012479989,0.0026605206,0.0018463527,0.0015236312,0.0037534197],"category_scores_gemma":[0.018962098,0.00053812534,0.0023311735,0.0032631396,0.0032390316,0.0104226805,0.0027542189,0.0056417054,0.00083931675],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021682368,0.00002625609,0.00042031828,0.00021143034,0.000038979793,0.000120746576,0.0004058326,0.0029891764,0.001245578,0.9758152,0.0017451465,0.016959637],"study_design_scores_gemma":[0.00002751802,0.00017137021,0.0009546457,0.00019563966,0.00008341116,0.0009239715,0.00028051654,0.09903097,0.0025177242,0.85442084,0.04130398,0.00008960727],"about_ca_topic_score_codex":0.0006900297,"about_ca_topic_score_gemma":0.00051652035,"teacher_disagreement_score":0.0109689105,"about_ca_system_score_codex":0.0013403536,"about_ca_system_score_gemma":0.0010435922,"threshold_uncertainty_score":0.058009803},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.44391152,0.00060306356,0.53836304,0.0007894552,0.00011547821,0.00004202414,0.00014071862,0.00011002458,0.015924592],"genre_scores_gemma":[0.94487244,0.00025440802,0.046297733,0.00011664143,0.00012859063,0.0000659104,0.00014483627,0.000035043293,0.008084357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99941516,0.0001612698,0.000026618283,0.00014252748,0.00018179699,0.000072672796],"domain_scores_gemma":[0.9976724,0.00094365777,0.0002916703,0.00010108755,0.0006271727,0.0003640917],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0013350219,0.00045524555,0.00040280726,0.0016035502,0.0005491959,0.0014118198,0.00060855626,0.00061542407,0.00339959],"category_scores_gemma":[0.0031437203,0.00016512243,0.0004937688,0.00055853213,0.0020191332,0.0018414661,0.0011024178,0.001216862,0.00022208683],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00004161282,0.0000237333,0.00064560183,0.000040528474,0.000016268454,0.00013017662,0.00012798402,0.0045679756,0.008928557,0.98155344,0.0003983657,0.0035256932],"study_design_scores_gemma":[0.000020433143,0.0001329006,0.001794415,0.000037926115,0.00001907856,0.000590829,0.0002813806,0.24548379,0.008246708,0.73972946,0.0036152392,0.00004792938],"about_ca_topic_score_codex":0.00080459483,"about_ca_topic_score_gemma":0.0004130309,"teacher_disagreement_score":0.00339959,"about_ca_system_score_codex":0.0010661203,"about_ca_system_score_gemma":0.0006086827,"threshold_uncertainty_score":0.011372745},"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":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.005682437,0.041936185,0.60005194,0.0058679995,0.0041353106,0.0001167611,0.0013575436,0.0026388082,0.33821303],"genre_scores_gemma":[0.17677587,0.051042303,0.30694163,0.0029161014,0.008379312,0.0005126619,0.0056659416,0.003193433,0.4445727],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99865854,0.00021125814,0.00006062468,0.00027711794,0.00067951524,0.00011290345],"domain_scores_gemma":[0.9988582,0.00048664855,0.0000527675,0.00039481948,0.000147053,0.00006051826],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008233669,0.0018436866,0.0020593344,0.0015858819,0.000803768,0.0038900375,0.0018742505,0.0014202928,0.03431972],"category_scores_gemma":[0.0035911156,0.00073708995,0.0011549647,0.0050558615,0.0013730407,0.006422042,0.002112004,0.005594783,0.016683875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001060899,0.00012678592,0.00020865115,0.0004971846,0.00005498893,0.00004147941,0.00006850189,0.0124233775,0.00095820526,0.49812576,0.13084152,0.35654745],"study_design_scores_gemma":[0.000029771694,0.00003244954,0.00034678497,0.00014939821,0.00003558451,0.00018285196,0.00003659998,0.037647672,0.001085783,0.79786044,0.16257285,0.000019895022],"about_ca_topic_score_codex":0.001069377,"about_ca_topic_score_gemma":0.0010458152,"teacher_disagreement_score":0.03431972,"about_ca_system_score_codex":0.0023013514,"about_ca_system_score_gemma":0.0012311033,"threshold_uncertainty_score":0.11481094},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.033866256,0.0038271914,0.90550554,0.0027412733,0.00061728904,0.00007018435,0.0002526286,0.00013491386,0.052984804],"genre_scores_gemma":[0.64374864,0.010024461,0.30434987,0.0023747908,0.0019653323,0.00030125005,0.0004548339,0.00020861252,0.03657221],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998114,0.00060110836,0.000111252324,0.00029058586,0.0007559348,0.0001271773],"domain_scores_gemma":[0.9977556,0.00090813613,0.00024896744,0.00016514274,0.00072599645,0.00019622598],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003069005,0.00071352336,0.0005554137,0.0015069642,0.0010729106,0.0012487336,0.0012813244,0.0010369641,0.004179147],"category_scores_gemma":[0.007254346,0.00032574718,0.0012028591,0.0014935532,0.0021976933,0.0038627416,0.002138603,0.0035651473,0.0007862906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000004875753,0.0000056989034,0.00006994075,0.000024181136,0.0000044422313,0.0000350635,0.00008790625,0.0019230894,0.00051846885,0.9922809,0.0007256078,0.0043199086],"study_design_scores_gemma":[0.000005411184,0.000023552815,0.0002354856,0.000021086771,0.000008589653,0.00022457875,0.00006664359,0.039225556,0.0005131592,0.95157146,0.008075442,0.000028949165],"about_ca_topic_score_codex":0.0020804745,"about_ca_topic_score_gemma":0.0015577229,"teacher_disagreement_score":0.004179147,"about_ca_system_score_codex":0.0014244587,"about_ca_system_score_gemma":0.0015590347,"threshold_uncertainty_score":0.016230583},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.04890577,0.0008346412,0.9457577,0.00019529088,0.00024770966,0.000020293573,0.00004981283,0.00015875447,0.0038300003],"genre_scores_gemma":[0.6418034,0.0024881605,0.34536293,0.0003999851,0.0002991711,0.00010087473,0.00020963393,0.00024083213,0.0090951435],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9983005,0.00057984213,0.00009314149,0.000269895,0.0005784806,0.00017808715],"domain_scores_gemma":[0.99672407,0.001478875,0.00030337035,0.0004672493,0.0007005024,0.0003259491],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00455721,0.0007555482,0.000990006,0.0012210534,0.00040777927,0.0015888982,0.0008484356,0.0008161371,0.003290198],"category_scores_gemma":[0.0103383055,0.00032283884,0.0007542098,0.00097174133,0.001276989,0.0034880952,0.0023643933,0.0017616426,0.0005110506],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00031886768,0.000078620586,0.0013385501,0.00025070566,0.000044757162,0.00015047067,0.00032247845,0.09230376,0.031419788,0.8227073,0.0016600316,0.04940477],"study_design_scores_gemma":[0.000060113132,0.00018487262,0.0007382335,0.000054549888,0.000031718086,0.00031564778,0.00013753066,0.846563,0.012070103,0.132619,0.0071370625,0.00008812621],"about_ca_topic_score_codex":0.0010199327,"about_ca_topic_score_gemma":0.00064700475,"teacher_disagreement_score":0.00455721,"about_ca_system_score_codex":0.00090479705,"about_ca_system_score_gemma":0.0007974074,"threshold_uncertainty_score":0.024101079},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38494954,0.0044810646,0.5255061,0.0046528224,0.0010968923,0.00008666575,0.00035212416,0.00024551348,0.07862933],"genre_scores_gemma":[0.92381626,0.0019227071,0.04043182,0.00052600197,0.00042363704,0.00008917723,0.00029386207,0.00026530965,0.0322312],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99952984,0.0001700784,0.000022211801,0.000103162994,0.00011044324,0.00006432121],"domain_scores_gemma":[0.9984547,0.0007224938,0.00019321335,0.000054442484,0.00025268065,0.0003224671],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001389872,0.0010665018,0.0012197654,0.002311985,0.00087130093,0.0026331877,0.0013557154,0.0017324795,0.0065118447],"category_scores_gemma":[0.0047403313,0.0004727476,0.00090261735,0.0012576903,0.0028673292,0.0035876622,0.0018128564,0.0029557843,0.00060542853],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009841502,0.000033807202,0.00038104737,0.00012510271,0.000028841645,0.00012522339,0.00018334867,0.00476225,0.004536768,0.9791924,0.0016225238,0.008910237],"study_design_scores_gemma":[0.000027230706,0.00008598437,0.0012344986,0.00007866146,0.000025619504,0.00028360382,0.00021134478,0.10663549,0.0024529255,0.88433385,0.004590386,0.00004031352],"about_ca_topic_score_codex":0.0017920518,"about_ca_topic_score_gemma":0.0011857236,"teacher_disagreement_score":0.0065118447,"about_ca_system_score_codex":0.002095832,"about_ca_system_score_gemma":0.00087024056,"threshold_uncertainty_score":0.021784246},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.423224,0.0054116487,0.4994463,0.0012736084,0.00046708641,0.000109788765,0.00053305866,0.00040540207,0.06912916],"genre_scores_gemma":[0.948667,0.001478265,0.032038536,0.00027916845,0.00037357438,0.00011254508,0.00036533314,0.00011399537,0.016571684],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99863213,0.00025471646,0.0001030381,0.00033941196,0.0005052374,0.0001653375],"domain_scores_gemma":[0.9956299,0.0016383333,0.0004659474,0.0005125338,0.001189818,0.0005633611],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00203045,0.0006680198,0.00079501024,0.0029132573,0.0012362702,0.0018152558,0.0007852891,0.0005909892,0.0044672983],"category_scores_gemma":[0.009875225,0.0003411329,0.0008220965,0.0011640127,0.0028472303,0.0043042875,0.0028071376,0.0017095057,0.0007070906],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006191702,0.000020408137,0.0021405003,0.000093846094,0.00003187859,0.00016490526,0.0004608607,0.0019681926,0.002503331,0.976238,0.0008751911,0.01544098],"study_design_scores_gemma":[0.000017651337,0.00016636615,0.0035903966,0.00008962993,0.000038514077,0.0015764147,0.00046901318,0.05149295,0.0043095956,0.91630596,0.0218954,0.000048034777],"about_ca_topic_score_codex":0.00093899685,"about_ca_topic_score_gemma":0.0005482276,"teacher_disagreement_score":0.0044672983,"about_ca_system_score_codex":0.0013002731,"about_ca_system_score_gemma":0.00038807627,"threshold_uncertainty_score":0.014944613},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14443164,0.0042184,0.6445661,0.00704412,0.001440475,0.00008519435,0.00034596765,0.000232318,0.19763565],"genre_scores_gemma":[0.8451241,0.0040795994,0.10110065,0.0018162696,0.002068831,0.00025706837,0.0002517815,0.00016863491,0.045133077],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993,0.00023335921,0.000031476884,0.00014067221,0.00021646946,0.000078051205],"domain_scores_gemma":[0.9990564,0.00049103337,0.00007415347,0.00010809855,0.00013785949,0.00013234852],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018234556,0.0007079263,0.00048859965,0.0007644417,0.0007538573,0.0012751514,0.0005888195,0.0007665218,0.0064530163],"category_scores_gemma":[0.0035870452,0.00019859051,0.00067166565,0.000760309,0.0030913886,0.0028739255,0.002775626,0.0024884169,0.0008303481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000008749067,0.0000047980684,0.00005099105,0.00001747583,0.0000026085027,0.000020658359,0.000051307383,0.0009049338,0.00032953286,0.9950192,0.0005637618,0.0030260189],"study_design_scores_gemma":[0.000008335502,0.0000378687,0.00013969612,0.000016323138,0.0000033228698,0.0000455101,0.000031133553,0.008807954,0.00039985633,0.98554623,0.004958161,0.000005607559],"about_ca_topic_score_codex":0.0005012904,"about_ca_topic_score_gemma":0.00030229104,"teacher_disagreement_score":0.0064530163,"about_ca_system_score_codex":0.00074054376,"about_ca_system_score_gemma":0.00048362455,"threshold_uncertainty_score":0.021587431},"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":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.003965595,0.0022897867,0.080334425,0.0013154207,0.0021072447,0.00010903312,0.002450257,0.0012875778,0.9061407],"genre_scores_gemma":[0.056910727,0.002825637,0.036644172,0.0008679367,0.0007524056,0.00019568314,0.0046266364,0.0008508068,0.8963259],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993808,0.00008219693,0.00003688787,0.00020913992,0.0002247333,0.00006624794],"domain_scores_gemma":[0.99950826,0.00009453411,0.000029317936,0.000111696776,0.00020408095,0.00005206166],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003476915,0.0010010775,0.00057015184,0.0017710254,0.0014907903,0.0040155095,0.00088266353,0.0008400264,0.1330697],"category_scores_gemma":[0.0015696991,0.0004128522,0.00054018665,0.0020136128,0.0013770354,0.0051420666,0.0016983529,0.0021824194,0.06939632],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000029024508,0.000012377568,0.000054370375,0.00008964314,0.000004794448,0.000042674863,0.0002012392,0.00021993308,0.0011205366,0.889263,0.049175583,0.059786793],"study_design_scores_gemma":[0.000005862864,0.000013953528,0.00008168425,0.00005175087,0.0000045454876,0.00016194487,0.00009782293,0.0003878916,0.0012522332,0.28127328,0.7166606,0.000008430994],"about_ca_topic_score_codex":0.0008600406,"about_ca_topic_score_gemma":0.0010122543,"teacher_disagreement_score":0.1330697,"about_ca_system_score_codex":0.0011582611,"about_ca_system_score_gemma":0.0007731366,"threshold_uncertainty_score":0},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.15318361,0.0014508382,0.74253565,0.0013477206,0.00034952897,0.00007049036,0.00016555627,0.00020887917,0.10068773],"genre_scores_gemma":[0.9588094,0.00065182615,0.028072255,0.0001538454,0.00018246888,0.000059089107,0.00009820692,0.00007464793,0.0118983295],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99914134,0.00027707877,0.000038181388,0.00013331356,0.00027983284,0.00013025578],"domain_scores_gemma":[0.9982064,0.0007672996,0.00024681017,0.00012413024,0.00037921342,0.00027618613],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017202426,0.0003283178,0.0006116897,0.0015216845,0.0010482476,0.0013781368,0.0005287371,0.00044450705,0.0044516604],"category_scores_gemma":[0.0037295884,0.00020402818,0.0009741241,0.0007190296,0.0036711292,0.0019120004,0.0022619823,0.0013677719,0.00042451578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000014758457,0.0000058668647,0.000118914315,0.00001653121,0.000005938904,0.000050260096,0.00008268491,0.0066485847,0.00045184916,0.9903133,0.0002844101,0.0020067987],"study_design_scores_gemma":[0.0000115743105,0.000065778244,0.00026640572,0.000026684751,0.000007386184,0.000116464646,0.0001665348,0.09084145,0.0011826807,0.9025581,0.004739427,0.000017597524],"about_ca_topic_score_codex":0.0017400277,"about_ca_topic_score_gemma":0.0008821002,"teacher_disagreement_score":0.0044516604,"about_ca_system_score_codex":0.0012555294,"about_ca_system_score_gemma":0.00089979015,"threshold_uncertainty_score":0.01489228},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.2950017,0.0020961273,0.67766243,0.0018908634,0.00027713733,0.000059541595,0.00019726488,0.00012792482,0.022686927],"genre_scores_gemma":[0.91311324,0.0019754951,0.07087557,0.0003418712,0.00038043185,0.0001403187,0.00023288444,0.0000890509,0.012851171],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989794,0.00043257573,0.000047193116,0.00014968505,0.0002822092,0.00010897071],"domain_scores_gemma":[0.9980223,0.0010128424,0.0002399056,0.00013434122,0.00035694664,0.0002336898],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002329167,0.00057639496,0.00056806806,0.0017879112,0.00093014195,0.0016519229,0.00085701625,0.0011406385,0.0021553473],"category_scores_gemma":[0.005089054,0.00029388428,0.0010893807,0.0013658616,0.0021996652,0.002698321,0.0012388214,0.0017498179,0.00024980705],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000024497147,0.000016894113,0.0003945432,0.000039773906,0.000015456819,0.00013169457,0.00020879526,0.0057408875,0.0020277228,0.9864937,0.0003895073,0.004516492],"study_design_scores_gemma":[0.000015928737,0.00006547002,0.0007484841,0.000023473312,0.000015967325,0.00038500395,0.00015390864,0.16980824,0.0011617402,0.82461554,0.0029741456,0.000031995358],"about_ca_topic_score_codex":0.0009228341,"about_ca_topic_score_gemma":0.00028228827,"teacher_disagreement_score":0.002329167,"about_ca_system_score_codex":0.0011620013,"about_ca_system_score_gemma":0.0005992114,"threshold_uncertainty_score":0.0123179555},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.63767177,0.00069931516,0.34767336,0.00047901215,0.000103983475,0.000042068128,0.00007829377,0.00012467396,0.0131275],"genre_scores_gemma":[0.9782096,0.0005166493,0.018444646,0.0000577132,0.000076332035,0.000044767243,0.00005413428,0.00005076897,0.002545332],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986297,0.00041189993,0.00007774961,0.00024552102,0.0004311583,0.00020396242],"domain_scores_gemma":[0.9933385,0.003311461,0.00060543773,0.0006290275,0.0013927041,0.0007228751],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0026024685,0.00059296703,0.0006758554,0.0021182175,0.0007426295,0.0018936673,0.0009400558,0.00068309763,0.002205411],"category_scores_gemma":[0.008718428,0.00023036521,0.0008697825,0.0007686503,0.0026440623,0.0040129684,0.0023007942,0.0017108781,0.00024410011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00029972897,0.00006110673,0.007005,0.00023137264,0.00008650861,0.00042797453,0.0014288754,0.02250164,0.04155789,0.90437126,0.00043451396,0.021593988],"study_design_scores_gemma":[0.00003420169,0.00048274753,0.014961208,0.000089946414,0.000080574326,0.0014559901,0.0009131961,0.27756152,0.040118765,0.65824604,0.0059130793,0.00014277585],"about_ca_topic_score_codex":0.00049134117,"about_ca_topic_score_gemma":0.00022290421,"teacher_disagreement_score":0.0026024685,"about_ca_system_score_codex":0.000866572,"about_ca_system_score_gemma":0.00044889073,"threshold_uncertainty_score":0.013763368},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22318135,0.002481725,0.59318143,0.0025822131,0.0024822364,0.00009170197,0.0002376974,0.0005559675,0.17520574],"genre_scores_gemma":[0.8352265,0.0017262683,0.06115512,0.0008976189,0.0016685881,0.000104504594,0.00024997824,0.0005978827,0.09837365],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998543,0.00034232152,0.00009186953,0.00034440492,0.00046296846,0.00021543528],"domain_scores_gemma":[0.99782914,0.0006611907,0.0002889556,0.00019024377,0.00063968974,0.00039073886],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0014793897,0.00071751815,0.0009522539,0.001802262,0.0016889899,0.0029495824,0.000899896,0.0013837717,0.009776962],"category_scores_gemma":[0.0039850553,0.00037806926,0.0015781673,0.00090099295,0.003388366,0.0045678113,0.0025218213,0.002506529,0.002193069],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000051280902,0.00001724273,0.00010478837,0.000028362898,0.000012153454,0.0001372505,0.00021557682,0.00035012132,0.0028854795,0.9913202,0.0005633419,0.0043142326],"study_design_scores_gemma":[0.000022899363,0.00007365419,0.00024685691,0.000020422043,0.000016933083,0.00061270775,0.00020741812,0.009017294,0.0048743896,0.9764524,0.0084224595,0.000032443146],"about_ca_topic_score_codex":0.00092353957,"about_ca_topic_score_gemma":0.0004766381,"teacher_disagreement_score":0.009776962,"about_ca_system_score_codex":0.0009552262,"about_ca_system_score_gemma":0.0010306721,"threshold_uncertainty_score":0.032707155},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.56030524,0.00068384176,0.40878585,0.00046273472,0.00022990655,0.000041706222,0.00013541055,0.00016184602,0.029193563],"genre_scores_gemma":[0.95318615,0.00039552624,0.03509891,0.00015736435,0.00019774615,0.000066080196,0.00020673282,0.00010444447,0.0105871335],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9986059,0.00030993077,0.00007358097,0.00027342062,0.00054642867,0.00019075024],"domain_scores_gemma":[0.9982339,0.0006019453,0.00023589318,0.00015116051,0.00053041504,0.00024672595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0016022613,0.00051739695,0.0004562944,0.0010509748,0.0008037236,0.001380003,0.00074028055,0.00060054124,0.0043676104],"category_scores_gemma":[0.0034382446,0.00020648252,0.0006556229,0.0004723746,0.0026817904,0.002919258,0.0013427014,0.0012979772,0.00056288665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038691764,0.000019958625,0.0004803146,0.00003382047,0.000009386161,0.00006998367,0.00023637044,0.0017113851,0.00499518,0.98822975,0.0002932068,0.0038820133],"study_design_scores_gemma":[0.000017185359,0.0001132189,0.00087472727,0.000019432062,0.000012142938,0.00034624437,0.00024619367,0.05386453,0.012203569,0.927634,0.004628318,0.000040425963],"about_ca_topic_score_codex":0.0006934845,"about_ca_topic_score_gemma":0.00035956898,"teacher_disagreement_score":0.0043676104,"about_ca_system_score_codex":0.00072411675,"about_ca_system_score_gemma":0.0006668812,"threshold_uncertainty_score":0.014611125},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.43175206,0.001635333,0.52421147,0.001684796,0.00023635011,0.00010359498,0.00020444528,0.00013698816,0.040034935],"genre_scores_gemma":[0.9074638,0.0012646115,0.075442284,0.00031476986,0.00024647455,0.0001667967,0.00012719272,0.000057124824,0.014917053],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993278,0.00022828113,0.00004248617,0.00010366488,0.00021112653,0.00008663252],"domain_scores_gemma":[0.99908197,0.00025837365,0.00019769334,0.000088925786,0.00020624131,0.00016670563],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001757745,0.0005662533,0.00047452602,0.0014065612,0.0007837027,0.0014174558,0.00072732917,0.0008977512,0.0023071154],"category_scores_gemma":[0.0032061967,0.00025158323,0.00088292005,0.00068811834,0.0020652106,0.0028147844,0.0016362009,0.0021579496,0.0003958751],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003305928,0.000012548618,0.00017139902,0.00003129715,0.0000052121086,0.000052907937,0.00013109022,0.004248632,0.002305635,0.98919374,0.0002542448,0.0035603005],"study_design_scores_gemma":[0.000026047315,0.00009184662,0.0006000821,0.000042299856,0.0000105212175,0.00028641243,0.00016861195,0.09591967,0.0018145059,0.89717215,0.0038243688,0.00004344597],"about_ca_topic_score_codex":0.00060056674,"about_ca_topic_score_gemma":0.00040701573,"teacher_disagreement_score":0.0023071154,"about_ca_system_score_codex":0.000994331,"about_ca_system_score_gemma":0.00083879026,"threshold_uncertainty_score":0.00929594},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5097621,0.005440083,0.4087628,0.0031711094,0.0004825283,0.000037083322,0.00016392996,0.00031860036,0.071861774],"genre_scores_gemma":[0.9575996,0.0017844083,0.023978956,0.0003366368,0.0003300885,0.00005987157,0.00019862538,0.00019474572,0.015516891],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99900454,0.0003962206,0.000040083778,0.00012474807,0.0003055889,0.00012876312],"domain_scores_gemma":[0.99557674,0.0024271524,0.00039035425,0.00022127383,0.00084293523,0.00054160075],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002903369,0.00077000255,0.00095316384,0.0021329394,0.0012167287,0.0020205642,0.0008981554,0.0009407229,0.0035623873],"category_scores_gemma":[0.012546296,0.00027058003,0.00063443073,0.0011173934,0.003843046,0.003900508,0.0027496312,0.0028907848,0.00053267006],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000043746735,0.000016988328,0.00066364807,0.00005769576,0.000011801209,0.00011096751,0.0003641961,0.0049380427,0.0020884825,0.98581046,0.0005369593,0.005356996],"study_design_scores_gemma":[0.000012619747,0.00006406551,0.0009226062,0.000053493528,0.000009018513,0.00025295207,0.00020555545,0.06395376,0.00092297856,0.93063253,0.0029488213,0.000021675572],"about_ca_topic_score_codex":0.0015517044,"about_ca_topic_score_gemma":0.0010130102,"teacher_disagreement_score":0.0035623873,"about_ca_system_score_codex":0.0018615633,"about_ca_system_score_gemma":0.00063458254,"threshold_uncertainty_score":0.015354693},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.19324242,0.006429952,0.7344428,0.0030892408,0.0014095664,0.00007319045,0.00038303548,0.00019791673,0.060731888],"genre_scores_gemma":[0.89836335,0.0027803942,0.07325448,0.0008161254,0.0020459623,0.00013201898,0.0003657315,0.00011090375,0.022131158],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989023,0.00036712247,0.000070497765,0.00023887305,0.0002855203,0.00013563165],"domain_scores_gemma":[0.99707377,0.0011048947,0.0005123968,0.00016830247,0.0007458953,0.00039472347],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0017992511,0.0009174769,0.0008752004,0.002488863,0.0009716155,0.002248765,0.0013572249,0.0012593757,0.0045699277],"category_scores_gemma":[0.00486074,0.0003023833,0.0012568873,0.0015115638,0.0018792312,0.0032699583,0.0016212658,0.002574922,0.0004649211],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000039177412,0.000019971945,0.0002696976,0.000058863996,0.00002159791,0.0001212996,0.00013238577,0.0023769012,0.0029923867,0.9902982,0.0009045045,0.0027649384],"study_design_scores_gemma":[0.000019757921,0.00006345356,0.0007599929,0.000028321652,0.00002706771,0.0004505294,0.00011865691,0.08483703,0.0013087642,0.90816456,0.0041831415,0.000038729686],"about_ca_topic_score_codex":0.0013529602,"about_ca_topic_score_gemma":0.0010896444,"teacher_disagreement_score":0.0045699277,"about_ca_system_score_codex":0.0012628135,"about_ca_system_score_gemma":0.0008830816,"threshold_uncertainty_score":0.015287876},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3808886,0.0049643666,0.53246176,0.0017164478,0.00065469113,0.000052406514,0.00020348253,0.00019252143,0.0788656],"genre_scores_gemma":[0.94757986,0.002228879,0.035875466,0.00031653146,0.0007369732,0.00009092645,0.00019956878,0.00007072423,0.012901034],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99827504,0.0004996294,0.00011387356,0.00025262075,0.0006990879,0.00015971049],"domain_scores_gemma":[0.9955225,0.001692684,0.0008471213,0.0003215615,0.0011436105,0.00047258858],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0019971565,0.0007002629,0.00047183168,0.002328756,0.0008345839,0.0021152415,0.0008021543,0.00093686284,0.0026921546],"category_scores_gemma":[0.00573332,0.00018102601,0.00072303374,0.000922635,0.003548047,0.0052560833,0.0017699071,0.0013351808,0.00046497368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002055384,0.000009405649,0.00021990098,0.000053565378,0.000006759636,0.000074786934,0.00019731073,0.0009638482,0.0036494834,0.9910789,0.00020065335,0.0035246657],"study_design_scores_gemma":[0.000010410549,0.00010420119,0.0008056323,0.000044691027,0.000010449004,0.00049481925,0.00032064595,0.020596877,0.0048171054,0.96531624,0.0074458383,0.000033014938],"about_ca_topic_score_codex":0.00056320836,"about_ca_topic_score_gemma":0.00035833463,"teacher_disagreement_score":0.0026921546,"about_ca_system_score_codex":0.0008229339,"about_ca_system_score_gemma":0.00045060006,"threshold_uncertainty_score":0.010562122},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.28164554,0.001168378,0.70063263,0.00064767053,0.00018212946,0.000045316243,0.0001305523,0.00013803267,0.015409756],"genre_scores_gemma":[0.93151486,0.00085852115,0.057892874,0.00014261345,0.00016093104,0.00009553818,0.00013493719,0.000074765405,0.009125032],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998857,0.0004333332,0.00006570371,0.00014027863,0.0004058737,0.00009773574],"domain_scores_gemma":[0.99714226,0.00094880967,0.0006083204,0.00030164394,0.0006114443,0.00038745595],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015820942,0.0006104512,0.00044507903,0.0013382133,0.00059522636,0.0011418032,0.00059845543,0.0005956335,0.0016319583],"category_scores_gemma":[0.0044704485,0.0002609887,0.00068988797,0.00054516754,0.0028080333,0.0035675399,0.0030026569,0.0012535051,0.00022036019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00007624356,0.000022502782,0.00049204327,0.000079711914,0.000020488802,0.0002656063,0.000490423,0.006031106,0.008723263,0.9762235,0.00031297028,0.007262211],"study_design_scores_gemma":[0.000017586812,0.00027816562,0.0018666149,0.000033703927,0.000015605128,0.00049771316,0.0002918152,0.10877552,0.0066287685,0.8739051,0.0076523973,0.000037003887],"about_ca_topic_score_codex":0.00057874364,"about_ca_topic_score_gemma":0.00028554516,"teacher_disagreement_score":0.0016319583,"about_ca_system_score_codex":0.0006133418,"about_ca_system_score_gemma":0.00058905716,"threshold_uncertainty_score":0.008367062},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.12853462,0.001423231,0.809716,0.0014920398,0.00040312606,0.000043353943,0.00026763737,0.00040866414,0.05771139],"genre_scores_gemma":[0.8545065,0.0012770686,0.096284695,0.00090270437,0.00069440965,0.00012248085,0.0005958288,0.00025920814,0.04535707],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989722,0.0003155661,0.000056775607,0.00019817482,0.0002884348,0.00016885706],"domain_scores_gemma":[0.99663574,0.0015199349,0.0003770049,0.00025061294,0.0007609432,0.0004558376],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011770973,0.0011981884,0.00088241545,0.0015556804,0.0010910586,0.0028190399,0.0009542669,0.0010429159,0.008508744],"category_scores_gemma":[0.0047196033,0.00046026925,0.0008745255,0.0008154584,0.002479519,0.0047108512,0.0017461334,0.0024159634,0.0020484426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006557131,0.000029810783,0.00013690564,0.000056051354,0.000009131678,0.00007929659,0.00024153634,0.0024928458,0.0022052464,0.98755884,0.0011476066,0.005977235],"study_design_scores_gemma":[0.000010493017,0.0000284759,0.00006691254,0.000017726472,0.000003810106,0.00006115915,0.000065163025,0.013579071,0.0006945631,0.9838594,0.0016008288,0.000012361366],"about_ca_topic_score_codex":0.0011641075,"about_ca_topic_score_gemma":0.0010294184,"teacher_disagreement_score":0.008508744,"about_ca_system_score_codex":0.0012010834,"about_ca_system_score_gemma":0.00075012055,"threshold_uncertainty_score":0.028464556},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.035373278,0.001270495,0.9537229,0.0007414666,0.00018897474,0.000037817084,0.00002529725,0.00005376373,0.008586006],"genre_scores_gemma":[0.68325174,0.0043346346,0.29336786,0.0005186498,0.00079587183,0.00024676367,0.00016557626,0.0004344774,0.016884433],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985807,0.00077310053,0.00006348514,0.00016858577,0.00033357547,0.00008062002],"domain_scores_gemma":[0.9949698,0.003207219,0.0003096002,0.0002240465,0.0010471733,0.00024220375],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006284274,0.0012983815,0.000898863,0.0019623272,0.000935147,0.0016928867,0.0015265231,0.001975726,0.0018265878],"category_scores_gemma":[0.012626364,0.00033189377,0.0016539926,0.000822972,0.0032437935,0.0045995843,0.0022928615,0.0026207855,0.00027878003],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000065831424,0.00003347169,0.0005333787,0.00032018646,0.000047145375,0.0002351707,0.0004344385,0.033771887,0.0058514336,0.94759303,0.00079840113,0.010315626],"study_design_scores_gemma":[0.000010038585,0.00013052447,0.00042287345,0.00007767495,0.000034286426,0.0003239752,0.00019747738,0.57590073,0.0036518483,0.4158627,0.0033476327,0.00004020105],"about_ca_topic_score_codex":0.0014384792,"about_ca_topic_score_gemma":0.00077051413,"teacher_disagreement_score":0.006284274,"about_ca_system_score_codex":0.0012021558,"about_ca_system_score_gemma":0.0011450223,"threshold_uncertainty_score":0.033234835},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.087063365,0.0010842922,0.9007004,0.00068631105,0.00025495476,0.000042910397,0.00012474778,0.0003048938,0.00973805],"genre_scores_gemma":[0.7439313,0.0018124378,0.23117822,0.0003353023,0.00045031772,0.000119930446,0.0002112819,0.00027989328,0.021681312],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998295,0.000452663,0.00011666752,0.0002666543,0.0006821417,0.00018689757],"domain_scores_gemma":[0.99538237,0.0016606371,0.00061137,0.00050899864,0.001176661,0.0006600495],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033376224,0.0007704301,0.00087583106,0.0019953754,0.00064650265,0.0028526061,0.0014619707,0.0014752671,0.0030741945],"category_scores_gemma":[0.007958742,0.0004688737,0.001226094,0.00094897795,0.002489165,0.0034854147,0.002606348,0.003470402,0.00067545293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00018234942,0.000043871383,0.0011067961,0.00015928768,0.00003638116,0.00014070125,0.00024003831,0.02847329,0.019260513,0.9338741,0.00090255006,0.01558018],"study_design_scores_gemma":[0.000030220424,0.00033050482,0.0013010782,0.00006617204,0.000048742022,0.00061397924,0.00014093726,0.69747597,0.015412314,0.27802238,0.006424398,0.00013333723],"about_ca_topic_score_codex":0.0011426122,"about_ca_topic_score_gemma":0.00074147334,"teacher_disagreement_score":0.0033376224,"about_ca_system_score_codex":0.0022058655,"about_ca_system_score_gemma":0.0013686664,"threshold_uncertainty_score":0.01765126},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.01584864,0.0011372552,0.975327,0.00051942107,0.00004366118,0.00004171228,0.00006385634,0.000045807257,0.0069726077],"genre_scores_gemma":[0.57828915,0.005020799,0.40349117,0.00041217988,0.00033644668,0.0006731335,0.00045899794,0.0002798476,0.011038303],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974585,0.0014949688,0.00011791787,0.00032508868,0.0004399893,0.00016354189],"domain_scores_gemma":[0.9938334,0.004468089,0.00046334398,0.00030566854,0.0007022502,0.00022723743],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0071363766,0.0015821568,0.0018902484,0.0021782243,0.0010883844,0.0023872717,0.0013342408,0.0015855884,0.0029331509],"category_scores_gemma":[0.011997184,0.00080505194,0.002005384,0.0017112789,0.0041660126,0.004130962,0.0034316317,0.0037053688,0.0004538798],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00003290621,0.000031541073,0.00024315067,0.00020677832,0.00006086894,0.000068445144,0.00020052482,0.06414601,0.001642646,0.92458224,0.0007804577,0.008004407],"study_design_scores_gemma":[0.000020651665,0.00009464779,0.0002105777,0.00012203386,0.000034184843,0.000093133065,0.00009753357,0.39770856,0.0013576716,0.5976329,0.0026039479,0.000024197561],"about_ca_topic_score_codex":0.00062770717,"about_ca_topic_score_gemma":0.00036981943,"teacher_disagreement_score":0.0071363766,"about_ca_system_score_codex":0.001477694,"about_ca_system_score_gemma":0.0012392239,"threshold_uncertainty_score":0.037741184},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.019091122,0.00070095574,0.96646935,0.0003583033,0.00010728755,0.000043333333,0.00006871303,0.000084007625,0.013076976],"genre_scores_gemma":[0.72059053,0.0030380622,0.25714397,0.0009550356,0.000573643,0.00032663677,0.00032385017,0.00026339205,0.016784847],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9976107,0.0007764469,0.00014822099,0.00040511644,0.00090214616,0.00015737016],"domain_scores_gemma":[0.99350244,0.0035120393,0.00053881935,0.0006079784,0.0015545895,0.00028409983],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0065951333,0.0007452711,0.0008557951,0.0019653891,0.00074707123,0.0014066865,0.0016133976,0.0008098859,0.0033272095],"category_scores_gemma":[0.018393496,0.00031581364,0.0011840933,0.0011280047,0.0032146915,0.0038359168,0.0019918033,0.002592642,0.00053866877],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013450551,0.000011179669,0.0003298772,0.00007406203,0.000016170334,0.00008175793,0.00010735589,0.008346541,0.0010049385,0.98054725,0.0005672147,0.008900261],"study_design_scores_gemma":[0.000011922141,0.00008719644,0.0005383724,0.00005806109,0.000021224914,0.0004175581,0.000112722904,0.2752858,0.0023130772,0.71332246,0.007797915,0.00003376808],"about_ca_topic_score_codex":0.0009610366,"about_ca_topic_score_gemma":0.0004751787,"teacher_disagreement_score":0.0065951333,"about_ca_system_score_codex":0.0011639284,"about_ca_system_score_gemma":0.0011235104,"threshold_uncertainty_score":0.03487885},"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":"methods","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.012851911,0.0018434485,0.85819536,0.0007719177,0.0004373178,0.000070089416,0.000089496076,0.00033039943,0.12541008],"genre_scores_gemma":[0.53094375,0.0018164706,0.3265239,0.00064413506,0.0008764787,0.00031494998,0.00037021204,0.00046635987,0.13804375],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9984875,0.0005100983,0.00007875803,0.00019986369,0.00064406847,0.00007967819],"domain_scores_gemma":[0.9983242,0.00078490877,0.00009917658,0.00027272978,0.0003829519,0.00013607227],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002201929,0.00044440833,0.00051440956,0.0011428451,0.0006718167,0.0015625182,0.0010645306,0.00046124603,0.011831263],"category_scores_gemma":[0.0041711694,0.00017872335,0.00057742896,0.00059261784,0.0024200063,0.0021892523,0.0020653906,0.0015932831,0.0014486912],"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":[0.000017023081,0.000016940809,0.00016792992,0.00012610748,0.000012746391,0.00004220604,0.00017596957,0.0018439994,0.0018168103,0.9602238,0.0023012403,0.033255257],"study_design_scores_gemma":[0.000011012534,0.0000519721,0.00028899242,0.00008965606,0.00001666712,0.00016531843,0.00010003506,0.0471466,0.0051209796,0.9025901,0.044406902,0.000011913386],"about_ca_topic_score_codex":0.0006391226,"about_ca_topic_score_gemma":0.00077996746,"teacher_disagreement_score":0.011831263,"about_ca_system_score_codex":0.0009591221,"about_ca_system_score_gemma":0.0006004265,"threshold_uncertainty_score":0.03957951},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.08943523,0.022555713,0.26445067,0.009168002,0.0010904219,0.000053738895,0.0002556845,0.00026716982,0.6127234],"genre_scores_gemma":[0.85222644,0.009961911,0.03203411,0.0013028714,0.0016724583,0.0001305899,0.00031911506,0.00015096371,0.102201544],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9990964,0.00036299427,0.00004111748,0.00008717189,0.00034182108,0.00007050534],"domain_scores_gemma":[0.9990351,0.000537923,0.00004838118,0.000076107375,0.00021152433,0.0000910635],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0012113751,0.0003936752,0.00026696283,0.0012149897,0.0014280201,0.003203118,0.00057400606,0.000880785,0.0075756847],"category_scores_gemma":[0.002235766,0.00018665937,0.00044674487,0.0014924557,0.0036516157,0.005148071,0.0015854639,0.0018826795,0.0008783035],"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":[0.0000022438705,0.0000034655154,0.000027960747,0.000016435897,0.0000011651289,0.000024925575,0.00014274736,0.0002782746,0.00015242127,0.99705553,0.00052602193,0.0017687299],"study_design_scores_gemma":[0.0000014040996,0.000009962918,0.00008371854,0.00002114406,0.0000015862114,0.00006145505,0.000120044846,0.0017106326,0.00025852575,0.97751915,0.020209942,0.0000025731974],"about_ca_topic_score_codex":0.00079459907,"about_ca_topic_score_gemma":0.00057422515,"teacher_disagreement_score":0.0075756847,"about_ca_system_score_codex":0.0013126826,"about_ca_system_score_gemma":0.00045170315,"threshold_uncertainty_score":0.02534324},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.11995424,0.023749141,0.30999178,0.004522037,0.0012095973,0.00006560828,0.0007617933,0.00043147727,0.53931427],"genre_scores_gemma":[0.86531216,0.006588637,0.042617872,0.00061656826,0.0006763871,0.00011606173,0.0004620733,0.00013035043,0.08347981],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99961734,0.00012154155,0.000022061842,0.00008281808,0.00011313781,0.00004308555],"domain_scores_gemma":[0.99951494,0.00016864087,0.000059934493,0.000055909324,0.00012306629,0.000077460754],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004079914,0.00038887805,0.00025732274,0.0012633,0.0007506823,0.002982585,0.00039104332,0.00051932246,0.00703249],"category_scores_gemma":[0.0009912518,0.00015758375,0.0002995732,0.0011975927,0.0021443265,0.0034718968,0.0017129072,0.0015964016,0.0015176985],"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":[0.0000058788305,0.000001899889,0.000041140644,0.000034945224,0.0000015324471,0.000028261153,0.00018742964,0.00042111226,0.00028769468,0.992652,0.0013008303,0.0050372886],"study_design_scores_gemma":[0.0000034517257,0.000019216555,0.00031174763,0.000037875623,0.0000040354566,0.00027340342,0.0003294687,0.0033360173,0.0005578461,0.91257507,0.082543194,0.000008617822],"about_ca_topic_score_codex":0.0007078214,"about_ca_topic_score_gemma":0.0004568569,"teacher_disagreement_score":0.00703249,"about_ca_system_score_codex":0.0011147626,"about_ca_system_score_gemma":0.00035182846,"threshold_uncertainty_score":0.023526013},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06886315,0.0011021299,0.9172176,0.0007782835,0.00019913485,0.000037735615,0.00016206696,0.00025877735,0.011381122],"genre_scores_gemma":[0.7735409,0.0014594425,0.19709593,0.00064694684,0.000424126,0.00020058324,0.00049958436,0.0004921815,0.025640318],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99655837,0.00175756,0.00013397679,0.00036717224,0.00088788726,0.00029501712],"domain_scores_gemma":[0.9941502,0.0035526503,0.00044393944,0.000636148,0.0007326646,0.0004844093],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0049872384,0.0019224855,0.0021448499,0.0021005424,0.0013019181,0.0040184837,0.002863321,0.002160371,0.005731806],"category_scores_gemma":[0.013510041,0.0009483588,0.0015162389,0.0018341648,0.004857427,0.008771229,0.0054223663,0.004663792,0.0008396203],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00014973331,0.000030796367,0.00015189676,0.00006980227,0.00002922292,0.000037566042,0.00009668902,0.020703282,0.0010218279,0.9708701,0.0007886295,0.0060503534],"study_design_scores_gemma":[0.000017487435,0.000040219813,0.000080900645,0.00001942173,0.0000100352,0.00004329701,0.00003022045,0.25814778,0.0008380367,0.73994696,0.0008060954,0.000019546298],"about_ca_topic_score_codex":0.0018108159,"about_ca_topic_score_gemma":0.0013012834,"teacher_disagreement_score":0.005731806,"about_ca_system_score_codex":0.0029990287,"about_ca_system_score_gemma":0.0014700231,"threshold_uncertainty_score":0.026375353},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6075317,0.0021867594,0.30981928,0.0017178662,0.00016484917,0.00007888284,0.00038011448,0.00032064118,0.07779993],"genre_scores_gemma":[0.97863173,0.0008750183,0.009603436,0.00013506686,0.00019525099,0.00007098062,0.00022781223,0.00008467452,0.0101760905],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985077,0.00046706208,0.00007870376,0.00019372159,0.0004745322,0.00027830273],"domain_scores_gemma":[0.994414,0.0026207573,0.0008340994,0.0004166593,0.0010562452,0.0006583122],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0023038764,0.0006499983,0.00084608025,0.0023306746,0.0013032425,0.0021811477,0.0011250222,0.0009998083,0.004584771],"category_scores_gemma":[0.009741958,0.00032806437,0.0010635062,0.0011292036,0.0039377427,0.0035205316,0.002226373,0.0022707798,0.00065801287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000021959315,0.0000161658,0.00040667749,0.000029614883,0.000011305002,0.000052362113,0.00012780259,0.0074416674,0.0011168182,0.9886318,0.00037214012,0.0017717854],"study_design_scores_gemma":[0.000011254986,0.000031389838,0.00063575455,0.00002592643,0.000008366053,0.000093451425,0.000082096914,0.10138666,0.0007447621,0.89598215,0.0009768492,0.000021288623],"about_ca_topic_score_codex":0.0021795824,"about_ca_topic_score_gemma":0.0010119635,"teacher_disagreement_score":0.004584771,"about_ca_system_score_codex":0.0023296324,"about_ca_system_score_gemma":0.0011569754,"threshold_uncertainty_score":0.016902745},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.07974088,0.00044973448,0.90925723,0.00037324856,0.000090012196,0.000025292924,0.00010089853,0.0001233152,0.009839307],"genre_scores_gemma":[0.825182,0.00047623715,0.16694246,0.00016636416,0.00016856215,0.000060563507,0.00030715883,0.00018902296,0.006507519],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9951073,0.0015073081,0.00031226894,0.0009368117,0.0015889251,0.0005475556],"domain_scores_gemma":[0.98615694,0.0075074886,0.001241074,0.0025586265,0.001851721,0.00068413396],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0061554736,0.00081807974,0.0015443153,0.0015045474,0.0009081007,0.004092607,0.0030174544,0.0015351679,0.0035287917],"category_scores_gemma":[0.026121015,0.0009114631,0.0012151216,0.0021955643,0.0044782544,0.0085487915,0.00540335,0.005216645,0.000451262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001387382,0.00003794552,0.0005711619,0.00006837761,0.000021905586,0.000113808936,0.00019143864,0.014449349,0.0011166724,0.96711373,0.00066842994,0.015508497],"study_design_scores_gemma":[0.000016235676,0.000066314344,0.00024259413,0.000033746594,0.000022146802,0.00022820059,0.00010213034,0.24400944,0.0019062319,0.7515196,0.0018282024,0.000025116446],"about_ca_topic_score_codex":0.0010498445,"about_ca_topic_score_gemma":0.0009248564,"teacher_disagreement_score":0.0061554736,"about_ca_system_score_codex":0.0017272597,"about_ca_system_score_gemma":0.0012401728,"threshold_uncertainty_score":0.032553673},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.21850103,0.0049145143,0.51282823,0.0010335309,0.0018675008,0.000054133016,0.00021968764,0.0008535459,0.25972778],"genre_scores_gemma":[0.83634114,0.0030801117,0.084767886,0.00041059556,0.00071527134,0.00007250418,0.00022600249,0.0003740147,0.07401252],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9997024,0.00006409813,0.000018329883,0.000047044898,0.00013677217,0.000031258514],"domain_scores_gemma":[0.9996985,0.00007555782,0.000027962822,0.00006573749,0.00009286595,0.000039411043],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00053373404,0.00051860267,0.0004621791,0.001294881,0.0006700944,0.0019028326,0.00050270505,0.00035109956,0.0074843345],"category_scores_gemma":[0.0016007349,0.00011746491,0.00052287086,0.00082859496,0.001016611,0.0022985067,0.0008931746,0.0013070394,0.0017139495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000028926637,0.000017041717,0.00022901181,0.00009027113,0.0000092465225,0.0002122156,0.00023538472,0.0027720253,0.004842756,0.9639098,0.0009600752,0.026693318],"study_design_scores_gemma":[0.0000123063655,0.00008494025,0.00052477577,0.000062593506,0.000022907014,0.0006669393,0.000120560144,0.03186055,0.006927212,0.91970116,0.0399913,0.000024720082],"about_ca_topic_score_codex":0.00025379148,"about_ca_topic_score_gemma":0.00031979513,"teacher_disagreement_score":0.0074843345,"about_ca_system_score_codex":0.0006391202,"about_ca_system_score_gemma":0.00032072392,"threshold_uncertainty_score":0.025037646},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5212103,0.0010629062,0.40833113,0.0018035586,0.00018734368,0.000083760235,0.00047574932,0.00018306637,0.066662215],"genre_scores_gemma":[0.96249425,0.0005989959,0.025534574,0.0002776355,0.00015681604,0.000105147454,0.00037697432,0.00008542462,0.010370167],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99855226,0.00042736507,0.00004981847,0.0002489024,0.0004094805,0.00031210363],"domain_scores_gemma":[0.9963102,0.0016771944,0.0004626964,0.00017920465,0.00074803893,0.00062267267],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0020386192,0.00064779824,0.00074037194,0.0019905819,0.001041963,0.0028729297,0.0009332418,0.00084180007,0.0058749947],"category_scores_gemma":[0.0059833294,0.0005007328,0.0010686,0.0010601287,0.00319587,0.0035239777,0.0014775792,0.0015159769,0.0005231271],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000031358082,0.000013141691,0.0005515211,0.000020682868,0.000011559705,0.000041642823,0.0001262283,0.00286894,0.0013419202,0.98992366,0.0006430335,0.0044263676],"study_design_scores_gemma":[0.000030947565,0.00007300896,0.0031224785,0.0000348989,0.000015466501,0.00030510206,0.0003295858,0.07876284,0.0016096013,0.9106135,0.0050457153,0.00005675898],"about_ca_topic_score_codex":0.0032264981,"about_ca_topic_score_gemma":0.001920674,"teacher_disagreement_score":0.0058749947,"about_ca_system_score_codex":0.0024784848,"about_ca_system_score_gemma":0.001287831,"threshold_uncertainty_score":0.019653797},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05738324,0.0024192191,0.8198226,0.002805063,0.0010220185,0.000074766016,0.0003010856,0.00050572795,0.11566619],"genre_scores_gemma":[0.80125403,0.002452025,0.15864049,0.0019768637,0.0010522772,0.0002095386,0.0005375069,0.00067786826,0.033199344],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9953733,0.0012987792,0.00021020706,0.00072262133,0.001726609,0.00066849234],"domain_scores_gemma":[0.9888319,0.00628205,0.0005791342,0.0018242665,0.0017637761,0.00071880984],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0040671295,0.0015637759,0.0013253777,0.0032518825,0.001400337,0.0045753126,0.002774635,0.0013941813,0.008141241],"category_scores_gemma":[0.022805404,0.0004959182,0.0016592883,0.0016466947,0.0048133875,0.009172252,0.0061957818,0.006088033,0.0021770804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000046236517,0.000015880409,0.00023746844,0.00008421834,0.00001440792,0.000060781105,0.0001193101,0.003977785,0.0010758338,0.98367846,0.0015253621,0.009164335],"study_design_scores_gemma":[0.000013531988,0.00004647792,0.00027350348,0.000060449667,0.00002696745,0.00013012983,0.00006383472,0.07241295,0.0023873823,0.91365117,0.010904229,0.000029272975],"about_ca_topic_score_codex":0.0019326968,"about_ca_topic_score_gemma":0.0024429266,"teacher_disagreement_score":0.008141241,"about_ca_system_score_codex":0.0029935075,"about_ca_system_score_gemma":0.0011456115,"threshold_uncertainty_score":0.02723521},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.25085673,0.0012173738,0.72955835,0.0010121037,0.00015632364,0.000058054782,0.00013629773,0.00013586933,0.01686889],"genre_scores_gemma":[0.9178473,0.0013817394,0.07048871,0.00030501385,0.00027681,0.00018648556,0.00021884113,0.0000651441,0.009230028],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99712974,0.0011029931,0.00022281847,0.00043572873,0.0008376673,0.00027098638],"domain_scores_gemma":[0.9879104,0.006492354,0.0011549493,0.00059143774,0.0029955292,0.0008552614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005576706,0.0008390956,0.0009934788,0.0021612379,0.00083338126,0.0016889627,0.0010943521,0.0009195085,0.0023602983],"category_scores_gemma":[0.016502153,0.00037199951,0.0014187355,0.0011234954,0.0045845755,0.005419279,0.0023460044,0.0024461243,0.00036759218],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000072331655,0.000038768478,0.00089968386,0.00016327386,0.000060503415,0.0002774933,0.0005596852,0.016045798,0.00345781,0.96887535,0.0004966823,0.009052458],"study_design_scores_gemma":[0.00002697071,0.00016549791,0.0012590388,0.000045380562,0.000021129355,0.0004149573,0.00027414478,0.16116777,0.0022709582,0.8316603,0.002656587,0.000037285696],"about_ca_topic_score_codex":0.0010571727,"about_ca_topic_score_gemma":0.0005297001,"teacher_disagreement_score":0.005576706,"about_ca_system_score_codex":0.0013811693,"about_ca_system_score_gemma":0.0012537923,"threshold_uncertainty_score":0.029492736},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.05794614,0.0004423169,0.92793494,0.00017649945,0.0001400823,0.000033622764,0.00005209831,0.00013805712,0.013136225],"genre_scores_gemma":[0.7252499,0.0013860709,0.24957381,0.00021673422,0.00013537268,0.00012224015,0.00019699767,0.00014957905,0.022969255],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9996803,0.00010212029,0.000014635208,0.00006703314,0.00009526677,0.0000407579],"domain_scores_gemma":[0.9994773,0.00016354596,0.00006577336,0.000061028095,0.00018862986,0.000043739692],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006975769,0.00057127373,0.00038522942,0.0006215548,0.00038849434,0.0010400504,0.00089291204,0.00050940044,0.0028926216],"category_scores_gemma":[0.0018744709,0.00017234003,0.00048312984,0.00066187594,0.0011179971,0.0012426446,0.00080401613,0.0011531645,0.0005066422],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00012867857,0.000060368202,0.0007065287,0.00014024561,0.00002811959,0.00017636515,0.00022144617,0.100592226,0.024258954,0.82693815,0.0020361033,0.04471279],"study_design_scores_gemma":[0.000013656525,0.000088784276,0.00024843568,0.000020198418,0.000010894454,0.00018032071,0.00009305168,0.91342473,0.004980558,0.07563579,0.005276835,0.000026778294],"about_ca_topic_score_codex":0.0034788754,"about_ca_topic_score_gemma":0.0026927409,"teacher_disagreement_score":0.0034788754,"about_ca_system_score_codex":0.0007950027,"about_ca_system_score_gemma":0.00091888715,"threshold_uncertainty_score":0.0096767545},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0838972,0.0009889702,0.90038913,0.00039360073,0.0001567659,0.000083571496,0.00017440668,0.00012274178,0.013793574],"genre_scores_gemma":[0.7595124,0.0017744991,0.21995004,0.0005050182,0.00041456596,0.00045165417,0.00082684867,0.00024712333,0.01631792],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9958637,0.0010618563,0.00039279167,0.0007297217,0.0015641975,0.00038771232],"domain_scores_gemma":[0.990352,0.003902847,0.001123739,0.0008066371,0.002982627,0.0008321814],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0067729265,0.0011662296,0.0011321839,0.0047500893,0.0014839146,0.0032767525,0.0016536823,0.0010896055,0.0033706531],"category_scores_gemma":[0.01922079,0.0004932316,0.002425116,0.0020426977,0.005010598,0.0061499546,0.0036316847,0.0031003084,0.00060620595],"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":[0.00004178938,0.000024461926,0.0013555724,0.000107108826,0.00004791295,0.00022836201,0.00039287814,0.0125875585,0.002106021,0.9761481,0.0004215178,0.0065387646],"study_design_scores_gemma":[0.000008847166,0.00013092205,0.0018235132,0.00006920873,0.000028598688,0.0002738402,0.00034232135,0.13156874,0.002455538,0.8588888,0.004339684,0.00006987565],"about_ca_topic_score_codex":0.0029146674,"about_ca_topic_score_gemma":0.0018047901,"teacher_disagreement_score":0.0067729265,"about_ca_system_score_codex":0.0022900214,"about_ca_system_score_gemma":0.00145865,"threshold_uncertainty_score":0.035819054},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.61862814,0.002590928,0.28682002,0.0016113071,0.00047100076,0.00009149725,0.00018820642,0.0001465612,0.08945239],"genre_scores_gemma":[0.9586691,0.0008252268,0.021960527,0.0002839681,0.00041610128,0.000059183327,0.00014559328,0.000053575073,0.017586743],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999511,0.00015651486,0.000022795517,0.00010845542,0.00012539388,0.0000759636],"domain_scores_gemma":[0.9990595,0.00024071577,0.0001801661,0.000082257524,0.00021671766,0.0002205398],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00081314927,0.00054569985,0.0003893495,0.0011289475,0.0008750995,0.0015055257,0.00072560256,0.00071474287,0.004595355],"category_scores_gemma":[0.0021388493,0.00019378697,0.000521821,0.000540405,0.0021147653,0.0027752526,0.0011634784,0.0012668341,0.0007556691],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000012727297,0.000009986397,0.00012438322,0.000018973657,0.0000028818483,0.00005681763,0.00013149883,0.0008879787,0.001178353,0.9955634,0.00019488165,0.0018182448],"study_design_scores_gemma":[0.000022091512,0.000111937945,0.00046951827,0.00003211094,0.0000068534014,0.00040956604,0.00029787215,0.02809395,0.0025954929,0.95857996,0.009349301,0.00003130598],"about_ca_topic_score_codex":0.00093806686,"about_ca_topic_score_gemma":0.00037047203,"teacher_disagreement_score":0.004595355,"about_ca_system_score_codex":0.0007649966,"about_ca_system_score_gemma":0.00055477145,"threshold_uncertainty_score":0.015373051},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.058392733,0.009958406,0.77144754,0.008560181,0.0011843557,0.00014671407,0.0013497539,0.00017549313,0.14878479],"genre_scores_gemma":[0.7386368,0.013721916,0.16015325,0.002352031,0.0026640568,0.000535737,0.0022959518,0.0004587391,0.07918153],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9962,0.0017292557,0.00016390665,0.0005163563,0.0008655683,0.0005248944],"domain_scores_gemma":[0.9770999,0.016855171,0.0013087121,0.0007201841,0.0027135836,0.00130234],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0077293767,0.0020732374,0.0015654393,0.0029253964,0.0015077909,0.0035829744,0.0025140115,0.0014688239,0.014296703],"category_scores_gemma":[0.028659863,0.00078758644,0.0020842825,0.0029589378,0.004091103,0.00907851,0.003984731,0.007162572,0.0018160476],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00008610182,0.000023049919,0.0002794814,0.00011707568,0.000027295504,0.000057801502,0.00015093005,0.0060283765,0.00058747287,0.9832191,0.0031704842,0.006252829],"study_design_scores_gemma":[0.000025566258,0.000054117732,0.00047840737,0.00008205801,0.000028740367,0.000091892456,0.00011646322,0.07257989,0.00044444067,0.9210164,0.0050465236,0.000035554927],"about_ca_topic_score_codex":0.007601116,"about_ca_topic_score_gemma":0.0071198037,"teacher_disagreement_score":0.014296703,"about_ca_system_score_codex":0.005014919,"about_ca_system_score_gemma":0.0027283162,"threshold_uncertainty_score":0.047827244},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.5621264,0.0015512407,0.34071302,0.00073785154,0.00032570394,0.000074276635,0.00021491162,0.00021759428,0.09403901],"genre_scores_gemma":[0.932319,0.0008007907,0.041414514,0.00024194366,0.00025126364,0.0000811347,0.00020843325,0.00009269675,0.02459013],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993461,0.00016394985,0.000032192635,0.00013028434,0.00019532572,0.00013218402],"domain_scores_gemma":[0.9993843,0.000090872505,0.00012844086,0.000057491965,0.0001499435,0.00018885276],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00063237734,0.0005057202,0.0003822489,0.0018868076,0.00096063834,0.0017414753,0.00046143934,0.0005031137,0.0049192626],"category_scores_gemma":[0.0012179287,0.00019665984,0.00049772795,0.0006425287,0.0016345995,0.0037100525,0.0018381429,0.0012533834,0.00073810987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00005334861,0.000024723578,0.00025193865,0.000033792414,0.000005098462,0.00013575837,0.0002576472,0.0008355619,0.0037484604,0.98774904,0.0003902588,0.006514335],"study_design_scores_gemma":[0.000029448194,0.00017168473,0.0010998421,0.000041798397,0.000015152923,0.0008318044,0.0005023319,0.024591342,0.006055163,0.9517879,0.0148317,0.00004193507],"about_ca_topic_score_codex":0.00042998616,"about_ca_topic_score_gemma":0.00033609202,"teacher_disagreement_score":0.0049192626,"about_ca_system_score_codex":0.00060983363,"about_ca_system_score_gemma":0.00037909424,"threshold_uncertainty_score":0.016456544},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.015398644,0.00090923806,0.97549397,0.0003284561,0.000115293115,0.0000246223,0.000037919726,0.000049657414,0.0076422137],"genre_scores_gemma":[0.7040014,0.0031420353,0.2780002,0.0004063217,0.0004300612,0.00015374689,0.00012714318,0.000119544464,0.013619525],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.998145,0.0007222894,0.00011172915,0.0003261129,0.00057577883,0.000119153825],"domain_scores_gemma":[0.9959979,0.0020995568,0.00036639607,0.00034545874,0.0009477416,0.00024290995],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0038896238,0.0012329028,0.0008600164,0.0017820217,0.00084425695,0.0014471896,0.0013240669,0.0010192532,0.0025615115],"category_scores_gemma":[0.009579515,0.0003646448,0.0013212772,0.0012374151,0.0022898188,0.0032523647,0.0031981007,0.002106151,0.00036335428],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00006478774,0.00002680563,0.0005699873,0.00016865735,0.00004968121,0.00038565407,0.00031816054,0.098592296,0.0039442573,0.8718129,0.0006534372,0.02341335],"study_design_scores_gemma":[0.000012134535,0.0001700486,0.00031756845,0.00006636535,0.000027924298,0.00027725188,0.000101797996,0.40944996,0.0023058471,0.5807516,0.006475601,0.000043801563],"about_ca_topic_score_codex":0.0018544658,"about_ca_topic_score_gemma":0.0010080457,"teacher_disagreement_score":0.0038896238,"about_ca_system_score_codex":0.0015734462,"about_ca_system_score_gemma":0.00092529453,"threshold_uncertainty_score":0.020570517},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.06729471,0.00866597,0.8114077,0.0023389226,0.0007620982,0.000083864106,0.00026865912,0.00015584202,0.109022334],"genre_scores_gemma":[0.7707536,0.013299145,0.18658534,0.00190828,0.0016564553,0.00029241966,0.00063402054,0.00024901613,0.024621729],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99901986,0.0002785504,0.000085665924,0.00017299679,0.0003573801,0.00008559227],"domain_scores_gemma":[0.9966576,0.0019357566,0.0002413104,0.00018422626,0.00075526495,0.00022587614],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028136203,0.00074327143,0.0006370546,0.0019268226,0.0010430729,0.0014024663,0.00090052944,0.0007854964,0.0042329095],"category_scores_gemma":[0.007067084,0.00024437305,0.0015693068,0.0014530752,0.002022983,0.0040319455,0.0013997629,0.0027174165,0.0005589712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000038768816,0.00002893359,0.0004589675,0.0002162452,0.000034399818,0.00015737696,0.0002831894,0.0052625244,0.0026587725,0.975114,0.0013130372,0.014433834],"study_design_scores_gemma":[0.000014098561,0.00016627926,0.0009819879,0.00012671835,0.000052474705,0.000696035,0.0002401726,0.053834476,0.0042968933,0.92221147,0.017338123,0.000041204446],"about_ca_topic_score_codex":0.00067674584,"about_ca_topic_score_gemma":0.0004101723,"teacher_disagreement_score":0.0042329095,"about_ca_system_score_codex":0.001114563,"about_ca_system_score_gemma":0.0007324566,"threshold_uncertainty_score":0.014880061},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.006499452,0.002048111,0.98237085,0.0008669833,0.00020914672,0.00002631658,0.00008530069,0.00007494658,0.00781894],"genre_scores_gemma":[0.5880163,0.009553424,0.38173002,0.0010791195,0.0011779404,0.0004670507,0.0003685539,0.0002426616,0.017364975],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9980615,0.00067582884,0.00013150208,0.0002931787,0.000722375,0.00011574424],"domain_scores_gemma":[0.99453014,0.0033442136,0.00042375628,0.00030038506,0.0011351191,0.00026651524],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0054708673,0.0010310423,0.0011047139,0.0022764653,0.00068847946,0.0011173568,0.0012433947,0.0011937005,0.0033205368],"category_scores_gemma":[0.009025277,0.00043992532,0.0019895951,0.0018678852,0.00259017,0.0024984826,0.0018146383,0.0029872027,0.0005146421],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000017675547,0.000020633772,0.00023787758,0.00009671015,0.00004341428,0.0000977662,0.00009611297,0.02503797,0.0013645364,0.9576842,0.0011380282,0.014165117],"study_design_scores_gemma":[0.000013820478,0.00007010095,0.0003447401,0.00004295037,0.000015491078,0.00021593993,0.000021935417,0.21219206,0.0010267333,0.777203,0.008819967,0.000033093456],"about_ca_topic_score_codex":0.001342638,"about_ca_topic_score_gemma":0.0007586104,"teacher_disagreement_score":0.0054708673,"about_ca_system_score_codex":0.0011622283,"about_ca_system_score_gemma":0.0012255271,"threshold_uncertainty_score":0.028933108},"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":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.628951,0.0024892553,0.31389353,0.0012616401,0.00033099033,0.00003413395,0.00011617597,0.000116825926,0.052806288],"genre_scores_gemma":[0.96345633,0.0009966523,0.024735704,0.00016770427,0.00028988725,0.000038334383,0.00008898649,0.000033494438,0.01019302],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9995474,0.000109699446,0.000027769875,0.00011883021,0.00012620745,0.00007003104],"domain_scores_gemma":[0.9992743,0.00025582465,0.000114205606,0.00007058222,0.0001332975,0.00015174986],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006708519,0.0003181536,0.00051678653,0.001199477,0.00094660616,0.0011383747,0.00053439406,0.00044381796,0.0028422517],"category_scores_gemma":[0.0013053922,0.00017414453,0.0005612388,0.00049317774,0.0021185211,0.0040254747,0.0016006739,0.0014776912,0.00028372888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002713268,0.000010272725,0.0003715824,0.00003494927,0.0000040884647,0.00009971676,0.00016004017,0.0007984076,0.002511555,0.99291366,0.00017954581,0.0028890995],"study_design_scores_gemma":[0.000016779517,0.00015577464,0.0007425408,0.000021841684,0.000010551861,0.00053492264,0.00016122514,0.026671087,0.0024629766,0.96478933,0.0044088317,0.000024182491],"about_ca_topic_score_codex":0.00029583607,"about_ca_topic_score_gemma":0.00020887872,"teacher_disagreement_score":0.0028422517,"about_ca_system_score_codex":0.0006465723,"about_ca_system_score_gemma":0.00037188194,"threshold_uncertainty_score":0.009508252},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.20345017,0.006616973,0.5959319,0.0025498518,0.00264598,0.00014480804,0.00070890336,0.0006008942,0.18735068],"genre_scores_gemma":[0.87199914,0.0038290008,0.07805011,0.0011481559,0.0018928642,0.00022668032,0.0005629246,0.00033604726,0.04195509],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.999044,0.00026276804,0.000077676756,0.00022516762,0.0002723536,0.00011800736],"domain_scores_gemma":[0.9982571,0.0007041878,0.00022150781,0.00020870562,0.00030849632,0.00030006154],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0015531613,0.0011672671,0.0012595508,0.0031837288,0.0020870445,0.0033280286,0.0015280668,0.0014173365,0.0064402623],"category_scores_gemma":[0.004669307,0.0005558083,0.0015155937,0.0020488151,0.002592255,0.007005974,0.0037760232,0.0033881792,0.0009866924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000027267739,0.00001763811,0.00027527465,0.00008095569,0.000016993283,0.00012620672,0.00016769355,0.00041020694,0.0008691567,0.99182194,0.0010193964,0.005167276],"study_design_scores_gemma":[0.000016814069,0.000040736428,0.00032800276,0.000041245556,0.000023495004,0.0004774841,0.00013096264,0.0061616553,0.0008269055,0.9843699,0.0075593605,0.000023463788],"about_ca_topic_score_codex":0.00033329753,"about_ca_topic_score_gemma":0.00024907148,"teacher_disagreement_score":0.0064402623,"about_ca_system_score_codex":0.0012333363,"about_ca_system_score_gemma":0.0006629583,"threshold_uncertainty_score":0.021544814},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.033015817,0.0008135526,0.9540193,0.00036228495,0.00011071904,0.000056908655,0.00006236035,0.00012273352,0.011436254],"genre_scores_gemma":[0.8133599,0.0018668867,0.1738583,0.0005197263,0.0002671519,0.00027788198,0.00014772649,0.00022238721,0.009479983],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9989108,0.00040839062,0.000068694266,0.00013618688,0.00038742868,0.000088451656],"domain_scores_gemma":[0.9938974,0.004147248,0.00053909014,0.0003629187,0.0007708049,0.0002825534],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0050298073,0.00095629256,0.00082326296,0.0020945498,0.0007268421,0.0015462722,0.0012223287,0.00096718356,0.0027536782],"category_scores_gemma":[0.014082284,0.00036444518,0.0013988181,0.0007963288,0.003439088,0.003596315,0.0017606566,0.002314831,0.00039998468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00002420563,0.000016606693,0.0003045789,0.00010739263,0.000016409085,0.00012604348,0.00012960078,0.025861455,0.0024077566,0.96569043,0.00034799194,0.004967483],"study_design_scores_gemma":[0.000014896524,0.00006428303,0.00042496654,0.00006965244,0.000016160928,0.0003185877,0.00007190094,0.42632154,0.0033794092,0.56730664,0.0019680315,0.00004391806],"about_ca_topic_score_codex":0.000831102,"about_ca_topic_score_gemma":0.00050770433,"teacher_disagreement_score":0.0050298073,"about_ca_system_score_codex":0.0011446172,"about_ca_system_score_gemma":0.001075785,"threshold_uncertainty_score":0.02660048},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.3206471,0.0015602538,0.6120471,0.0014637429,0.00024115818,0.00007900846,0.00043189578,0.0007102987,0.06281962],"genre_scores_gemma":[0.9493605,0.00038823747,0.043398634,0.0002446566,0.00032297522,0.00012805998,0.00031514184,0.0002371877,0.005604526],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99570966,0.0012652387,0.0003222833,0.00067913893,0.0016379404,0.00038577427],"domain_scores_gemma":[0.98637795,0.007798569,0.0016622568,0.0008582304,0.002071482,0.0012314705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003954594,0.0008013735,0.0005902295,0.004106851,0.0010735916,0.0038728863,0.0016605725,0.0011696401,0.008084674],"category_scores_gemma":[0.018677218,0.0005781656,0.0009696397,0.0012420204,0.004699679,0.0074992757,0.0036216562,0.0032277636,0.0011902143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0001121226,0.000037133974,0.0016365937,0.00013558738,0.000019494877,0.00024361059,0.00040928344,0.0033774793,0.006796787,0.97718084,0.00071537757,0.0093356455],"study_design_scores_gemma":[0.00002011316,0.00010865951,0.0012776963,0.00008859164,0.000016245765,0.0006254527,0.00028533116,0.050399944,0.0061734854,0.93677515,0.0041658687,0.00006337376],"about_ca_topic_score_codex":0.00027559293,"about_ca_topic_score_gemma":0.00012475373,"teacher_disagreement_score":0.008084674,"about_ca_system_score_codex":0.0010797919,"about_ca_system_score_gemma":0.0004976478,"threshold_uncertainty_score":0.027045965},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.22698829,0.0034878897,0.73884565,0.0018985305,0.00059618684,0.000049691615,0.00014115435,0.00034671274,0.027645856],"genre_scores_gemma":[0.94055974,0.002283822,0.04499293,0.00027287673,0.00037135516,0.00006703541,0.00012387226,0.00013066847,0.0111976415],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99895453,0.00032530716,0.000042820586,0.00016609234,0.00033466288,0.00017654659],"domain_scores_gemma":[0.9947634,0.0026231336,0.0006081822,0.00050166715,0.00095568557,0.00054788945],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0036341525,0.00076575147,0.0008505482,0.0026214197,0.0007978631,0.0014601453,0.001194077,0.001348806,0.0033926358],"category_scores_gemma":[0.014645945,0.00030450005,0.001016919,0.00095008616,0.002448109,0.0033771032,0.002512939,0.0024947226,0.00059408514],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00010950439,0.000023019898,0.0008821127,0.00009793067,0.000028305834,0.00012338873,0.00020564153,0.02116005,0.008211037,0.95966595,0.00086731574,0.008625752],"study_design_scores_gemma":[0.000023138798,0.00011013698,0.001024589,0.000060721995,0.00003774891,0.0003398578,0.00011613231,0.5601725,0.0043965895,0.42985195,0.0038053307,0.00006141129],"about_ca_topic_score_codex":0.002757907,"about_ca_topic_score_gemma":0.0010194893,"teacher_disagreement_score":0.0036341525,"about_ca_system_score_codex":0.0021348726,"about_ca_system_score_gemma":0.00070560526,"threshold_uncertainty_score":0.019219458},"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":"editorial","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0005437406,0.0096815415,0.01077476,0.102588154,0.69882,0.00008327104,0.003936281,0.001729905,0.17184232],"genre_scores_gemma":[0.011702817,0.008463816,0.0072637703,0.030574365,0.0852002,0.00016044475,0.004371199,0.0029424806,0.8493209],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.9969523,0.0006853523,0.00028182784,0.00043879513,0.0014660454,0.00017571333],"domain_scores_gemma":[0.99175584,0.0022124946,0.00025110654,0.0005773024,0.0048962533,0.00030699914],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002095474,0.0018882405,0.0014265493,0.003869889,0.003196753,0.0038430418,0.0022836744,0.0035666977,0.17734808],"category_scores_gemma":[0.017715484,0.0007642104,0.0016511235,0.0024214135,0.0019366625,0.0039718077,0.0016417595,0.0055692727,0.09729495],"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":[0.000014115167,0.0000064156334,0.000021772841,0.00006634838,0.000005617319,0.00003714311,0.000025671221,0.000045142995,0.000037583875,0.0065756068,0.98908794,0.0040765842],"study_design_scores_gemma":[0.0000110936135,0.00001297919,0.000417289,0.00016426467,0.000013939345,0.00012471106,0.00005065702,0.0003871389,0.00025144443,0.012116832,0.9864237,0.00002595005],"about_ca_topic_score_codex":0.020674301,"about_ca_topic_score_gemma":0.029287243,"teacher_disagreement_score":0.17734808,"about_ca_system_score_codex":0.005611175,"about_ca_system_score_gemma":0.0021962256,"threshold_uncertainty_score":0.5932884},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.041377407,0.0010074001,0.95017093,0.00033683266,0.00013977784,0.000061103325,0.000052180978,0.0001394317,0.0067148833],"genre_scores_gemma":[0.679872,0.0023770074,0.30516708,0.00046927689,0.00029150269,0.00018164354,0.00017822982,0.00014222939,0.011320994],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99764097,0.00092041044,0.00010716891,0.00040534147,0.00071798154,0.00020816666],"domain_scores_gemma":[0.9940499,0.0036169917,0.00056089653,0.00043318694,0.0010116,0.0003274705],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0049707117,0.00096632424,0.0007804422,0.0011545153,0.0005367896,0.0011761748,0.0015019879,0.0013381069,0.002835934],"category_scores_gemma":[0.01502962,0.0003151745,0.0010199731,0.00089875807,0.0023289332,0.0035032588,0.0021432666,0.002301875,0.0004987429],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0002708064,0.00006813167,0.0008942225,0.00031145848,0.000049628758,0.00015278092,0.00041488273,0.07814265,0.030138709,0.8412891,0.001095174,0.047172543],"study_design_scores_gemma":[0.000037769038,0.00026171742,0.00048971875,0.00004784865,0.000030524523,0.00035731736,0.00011899577,0.7803205,0.0070182406,0.20752172,0.0037030522,0.000092577444],"about_ca_topic_score_codex":0.0015336586,"about_ca_topic_score_gemma":0.00066878425,"teacher_disagreement_score":0.0049707117,"about_ca_system_score_codex":0.0013371138,"about_ca_system_score_gemma":0.000947941,"threshold_uncertainty_score":0.026287973},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.38230792,0.0024687839,0.59727603,0.0009159021,0.0002047119,0.00007366355,0.0001331311,0.00019708762,0.016422724],"genre_scores_gemma":[0.8952903,0.0008568727,0.09879659,0.0001534552,0.0002422864,0.00008703831,0.000120550765,0.000082526065,0.0043703634],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99872404,0.0002866123,0.000114082206,0.00026295558,0.00046293493,0.00014945725],"domain_scores_gemma":[0.9956572,0.0015441795,0.0006981142,0.00040107302,0.0009873892,0.00071203103],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0033754013,0.0007060873,0.00083001226,0.003456206,0.0009950935,0.0018365006,0.000902816,0.001012862,0.0024314218],"category_scores_gemma":[0.009192026,0.00033406483,0.0008119839,0.0012400711,0.0027852433,0.005194957,0.0026650475,0.0020065906,0.0002604766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00009890302,0.000024145822,0.0019706872,0.000086991015,0.000023349341,0.00018166172,0.00041819768,0.007212772,0.011536297,0.9586835,0.00064054364,0.01912295],"study_design_scores_gemma":[0.000017730403,0.0001921031,0.0043434333,0.00006709749,0.000032883025,0.0008260463,0.00042467588,0.14339645,0.008489688,0.83620065,0.0059332233,0.000075987205],"about_ca_topic_score_codex":0.00033985422,"about_ca_topic_score_gemma":0.00021608887,"teacher_disagreement_score":0.003456206,"about_ca_system_score_codex":0.0009031378,"about_ca_system_score_gemma":0.00040792295,"threshold_uncertainty_score":0.017850995},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.14565276,0.0048692287,0.59670854,0.003039622,0.0031721487,0.00015890267,0.0005234697,0.0009973753,0.24487796],"genre_scores_gemma":[0.7115756,0.0033588556,0.13392489,0.0021464955,0.001583828,0.0003242408,0.0006411262,0.00057706115,0.14586784],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99916244,0.00027373273,0.00005230457,0.00014858566,0.00023086797,0.00013210278],"domain_scores_gemma":[0.9979657,0.0007513821,0.00025195983,0.0002716324,0.0004081642,0.0003511854],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010001961,0.0009025619,0.00068487134,0.0021587794,0.0012972184,0.002980405,0.001146941,0.0016057556,0.011139527],"category_scores_gemma":[0.005239463,0.0004614275,0.0006666203,0.001720507,0.0019756116,0.0046962765,0.0023558417,0.0035183544,0.002860654],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000036491558,0.000012952151,0.0001031149,0.000028582655,0.0000033832266,0.00004139316,0.00007284172,0.00080458145,0.00074826524,0.98821867,0.0016817836,0.008247895],"study_design_scores_gemma":[0.000019206867,0.00005257813,0.0002142651,0.000048808804,0.000011469501,0.00028719407,0.00007447794,0.015074545,0.0014244659,0.9603362,0.02243266,0.000024058778],"about_ca_topic_score_codex":0.00032459458,"about_ca_topic_score_gemma":0.0004113594,"teacher_disagreement_score":0.011139527,"about_ca_system_score_codex":0.0014576897,"about_ca_system_score_gemma":0.0007156153,"threshold_uncertainty_score":0.03726548},"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":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.48974636,0.0015124291,0.46017867,0.00076208933,0.00029619224,0.000058227623,0.00017318428,0.00024696323,0.047025956],"genre_scores_gemma":[0.95544374,0.0009498349,0.02840598,0.00018472962,0.0002486143,0.00008547862,0.00013983928,0.00008701694,0.0144546],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9993881,0.00017523284,0.000037829017,0.0001072561,0.00016198277,0.00012953012],"domain_scores_gemma":[0.998589,0.00048541694,0.00029982114,0.00016834137,0.00029028088,0.00016716088],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010070489,0.00063994544,0.0005864732,0.0021425455,0.000767031,0.0026015998,0.0008691674,0.0008344925,0.0037211587],"category_scores_gemma":[0.0038325181,0.00020155073,0.000682167,0.0014394473,0.0019212334,0.003886791,0.0009815571,0.0013685862,0.0009416456],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000037205493,0.000015797472,0.0005934123,0.000049625567,0.000009712327,0.00017410853,0.00017188526,0.0037438327,0.0032755437,0.9840447,0.00046461675,0.0074196146],"study_design_scores_gemma":[0.000013564056,0.000074555515,0.0013064631,0.000046496898,0.000017844755,0.0006239165,0.00024757333,0.09060356,0.0036972358,0.8944394,0.008885843,0.000043652388],"about_ca_topic_score_codex":0.0005856058,"about_ca_topic_score_gemma":0.00044002722,"teacher_disagreement_score":0.0037211587,"about_ca_system_score_codex":0.001222635,"about_ca_system_score_gemma":0.00057264237,"threshold_uncertainty_score":0.01244849},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.1895541,0.012702932,0.72537786,0.0062494976,0.0010186811,0.000048290494,0.00019545344,0.00017535209,0.06467792],"genre_scores_gemma":[0.9106646,0.006392292,0.06109389,0.0004477935,0.0011176916,0.000109610286,0.00018024468,0.00011633665,0.019877486],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9974347,0.0013167812,0.00013774405,0.0003158946,0.0006167328,0.00017827105],"domain_scores_gemma":[0.9942468,0.0032377506,0.0005911311,0.00052253396,0.0008750472,0.0005268676],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004724045,0.0012361406,0.0017472709,0.004012732,0.0019267787,0.005031201,0.001774056,0.0019346661,0.0028581808],"category_scores_gemma":[0.01053304,0.0005557002,0.0014740279,0.0029471656,0.007880598,0.011917907,0.004136201,0.004794091,0.00043676616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000013124828,0.00000468638,0.00009623961,0.000022256994,0.000009375706,0.00001923792,0.00014340151,0.00080721924,0.00016696597,0.9972773,0.00015379353,0.0012864204],"study_design_scores_gemma":[0.000007076868,0.000020566527,0.000086213324,0.000016209311,0.000008749173,0.00004075658,0.00013148344,0.009541672,0.00023044064,0.98794985,0.0019600273,0.0000068670156],"about_ca_topic_score_codex":0.0014493852,"about_ca_topic_score_gemma":0.0006275139,"teacher_disagreement_score":0.005031201,"about_ca_system_score_codex":0.0023320785,"about_ca_system_score_gemma":0.00081795116,"threshold_uncertainty_score":0.024983406},"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":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.6278647,0.0011936584,0.2697624,0.0018559519,0.00047766604,0.00009990872,0.00020721242,0.00024513216,0.098293364],"genre_scores_gemma":[0.96903497,0.00036530453,0.01475628,0.00025996997,0.000287746,0.000078327685,0.00011074452,0.000064518405,0.015042229],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.99891686,0.00023482079,0.00006112291,0.00016395602,0.00041679444,0.00020645968],"domain_scores_gemma":[0.9974232,0.0009862431,0.00032298572,0.00027645117,0.00056035555,0.00043087374],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001511712,0.0004317727,0.00056934543,0.0014411466,0.0016855476,0.0026064324,0.0006414399,0.00077462994,0.005812554],"category_scores_gemma":[0.004034516,0.00022193529,0.0005598032,0.00090340164,0.0035509581,0.003578629,0.0017845544,0.0016586991,0.00036121605],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000025793523,0.000008606221,0.00028501818,0.000018673036,0.0000038970334,0.00006227735,0.00015137,0.0008281832,0.0015417227,0.99298155,0.00044947374,0.0036434173],"study_design_scores_gemma":[0.000020736614,0.000047991118,0.00078284054,0.000030214269,0.0000073388464,0.00035893012,0.00028919338,0.042204935,0.0024082817,0.94645214,0.0073708803,0.00002661537],"about_ca_topic_score_codex":0.001104203,"about_ca_topic_score_gemma":0.00045780375,"teacher_disagreement_score":0.005812554,"about_ca_system_score_codex":0.0011950156,"about_ca_system_score_gemma":0.0007470709,"threshold_uncertainty_score":0.019444942},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0104348725,0.0138265705,0.13704765,0.008128512,0.0031537327,0.000027066537,0.0002951997,0.0003409107,0.8267455],"genre_scores_gemma":[0.32080907,0.014460334,0.03739217,0.0039280183,0.0043603308,0.00009064979,0.00026312942,0.0007882005,0.61790806],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9993451,0.00018802947,0.000023982355,0.0001150939,0.0002738517,0.000053930773],"domain_scores_gemma":[0.9988869,0.00056648016,0.00004765901,0.00020317908,0.00026080475,0.00003507405],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0010898635,0.0007073534,0.0007397739,0.001394488,0.00090707117,0.0021731278,0.00062503,0.0011804157,0.015206027],"category_scores_gemma":[0.0044851387,0.00033542127,0.0003740505,0.0016390356,0.002579179,0.004125269,0.0010501351,0.0037689211,0.00485756],"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":[0.000007232215,0.000003761432,0.000023033941,0.000016791271,0.000002699241,0.0000060738025,0.000026145692,0.00024557332,0.00013459555,0.9803258,0.007291918,0.011916433],"study_design_scores_gemma":[0.0000057363445,0.000005738703,0.00009638657,0.000020255002,0.000005126695,0.00006283926,0.000013809167,0.0021441618,0.0003860625,0.9337245,0.06352823,0.0000070987103],"about_ca_topic_score_codex":0.0019683721,"about_ca_topic_score_gemma":0.0013797632,"teacher_disagreement_score":0.015206027,"about_ca_system_score_codex":0.0025165621,"about_ca_system_score_gemma":0.00088799145,"threshold_uncertainty_score":0.050869286},"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":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.115148626,0.0008433442,0.8710877,0.00059599197,0.000121359764,0.00005356455,0.00008785183,0.0000932235,0.011968422],"genre_scores_gemma":[0.90015006,0.0009574943,0.0924999,0.00037266986,0.00019897734,0.0001897198,0.00012526817,0.00008388688,0.0054220357],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9985886,0.0005075533,0.0000800699,0.00020507259,0.00046352018,0.0001550534],"domain_scores_gemma":[0.99548835,0.0027251039,0.0005750816,0.00038948815,0.00053784176,0.00028416104],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005568623,0.0008237173,0.0009773145,0.0020783008,0.0007961288,0.0018128988,0.0017538246,0.0011797261,0.0019676688],"category_scores_gemma":[0.011454933,0.0003495397,0.0016694154,0.00085124554,0.0038502777,0.0047230246,0.0020610667,0.0027386292,0.00026344118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000010663375,0.000014797093,0.00033172217,0.00003895939,0.000013714078,0.00006499845,0.00008371795,0.0061388514,0.00068671076,0.99064904,0.000108567656,0.0018582471],"study_design_scores_gemma":[0.000009033143,0.000043693115,0.00041480977,0.000032781358,0.000011288339,0.00016946848,0.000075013086,0.21364841,0.0010847425,0.7837979,0.0006911222,0.000021702806],"about_ca_topic_score_codex":0.0010656107,"about_ca_topic_score_gemma":0.00062040513,"teacher_disagreement_score":0.005568623,"about_ca_system_score_codex":0.0015165602,"about_ca_system_score_gemma":0.0010843755,"threshold_uncertainty_score":0.029450059},"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":"methods","genre_gemma":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":"methods","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.014288573,0.039747346,0.63887435,0.0063427677,0.0044964612,0.0000859691,0.00042963814,0.0005475413,0.2951874],"genre_scores_gemma":[0.39280602,0.037198316,0.27499178,0.0040069283,0.009425024,0.00043380872,0.00085247355,0.0008367259,0.27944893],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9984511,0.0005093797,0.00009655967,0.00020450808,0.00064581534,0.000092646194],"domain_scores_gemma":[0.99816066,0.0011311466,0.00008591029,0.00016984042,0.0003723859,0.00008001131],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0018515526,0.00076425594,0.0007025265,0.0021633285,0.00087637955,0.0030585465,0.00085569435,0.00088813365,0.010316735],"category_scores_gemma":[0.003950053,0.0002937868,0.0010772527,0.0015059952,0.0037574319,0.0038828752,0.001637556,0.0027705585,0.0024433963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.000007815675,0.000010742312,0.00006068414,0.00015700869,0.0000085603615,0.00005233855,0.0002268229,0.0011711456,0.0006026524,0.97107005,0.006910442,0.019721696],"study_design_scores_gemma":[0.0000031733155,0.000027828182,0.00026488292,0.00013388965,0.000008651522,0.00013257914,0.00013317676,0.006709557,0.00083433365,0.90683323,0.084906995,0.000011829143],"about_ca_topic_score_codex":0.0007788775,"about_ca_topic_score_gemma":0.0005827378,"teacher_disagreement_score":0.010316735,"about_ca_system_score_codex":0.0018233766,"about_ca_system_score_gemma":0.00095223484,"threshold_uncertainty_score":0.034512877},"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":"methods","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.059118494,0.0014285019,0.9257908,0.0010918246,0.000116307005,0.000049972958,0.00014316653,0.0000768645,0.012184099],"genre_scores_gemma":[0.73889536,0.0034455766,0.24298336,0.00061043125,0.0005296208,0.00044576515,0.00067216216,0.00018473271,0.012232971],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","domain_scores_codex":[0.9906068,0.0043600453,0.0006006955,0.0013230578,0.002564767,0.00054461963],"domain_scores_gemma":[0.97739536,0.013069928,0.0018803787,0.0015163702,0.0051475866,0.0009903061],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.012594072,0.0010364342,0.0012240711,0.0036278681,0.0017696477,0.0037033395,0.0015264394,0.0012177251,0.003304322],"category_scores_gemma":[0.022752805,0.00050646305,0.002183161,0.0025605797,0.008050898,0.008868001,0.0051072706,0.0037569962,0.0005064935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0000151042495,0.000010813562,0.0003605994,0.000057527828,0.000018694944,0.00004414734,0.00019566335,0.005037738,0.0003349938,0.99049264,0.00017160246,0.0032603906],"study_design_scores_gemma":[0.0000034842033,0.00003497648,0.0003791146,0.000024986675,0.000006309703,0.00008855758,0.00010080228,0.032865196,0.00043652824,0.9644581,0.0015849791,0.000017034185],"about_ca_topic_score_codex":0.0012430459,"about_ca_topic_score_gemma":0.0006299113,"teacher_disagreement_score":0.012594072,"about_ca_system_score_codex":0.0029582165,"about_ca_system_score_gemma":0.0016801249,"threshold_uncertainty_score":0.066604614},"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":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.00022554875,0.000037628437,0.001120415,0.0007197087,0.00013609018,0.0000863466,0.9922524,0.00048047685,0.0049413275],"genre_scores_gemma":[0.023434794,0.00038339788,0.016434431,0.0032082445,0.0004118556,0.0050260704,0.9136433,0.0031364984,0.034321334],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99886274,0.00039256926,0.0001607194,0.0002141686,0.00023342021,0.00013638908],"domain_scores_gemma":[0.9133816,0.0763565,0.00162644,0.0030211203,0.0047416296,0.00087274774],"candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002919115,0.0010438234,0.0012399824,0.0029899778,0.000978738,0.0034972846,0.0017499235,0.0026103326,0.91935736],"category_scores_gemma":[0.08104077,0.0007165096,0.0012102402,0.0045219064,0.0007103376,0.0037997928,0.0018278752,0.0016209085,0.31345046],"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":[0.00008769158,0.000034821707,0.00060192,0.0010564786,0.000018620187,0.00003172579,0.000116890835,0.0003098113,0.000013718815,0.0033159684,0.9896605,0.004751872],"study_design_scores_gemma":[0.0021932467,0.00010236481,0.00881444,0.0044007017,0.00011547853,0.00039626434,0.0016656248,0.0031143394,0.00030876318,0.10328471,0.87541,0.00019407264],"about_ca_topic_score_codex":0.007674171,"about_ca_topic_score_gemma":0.011351243,"teacher_disagreement_score":0.91935736,"about_ca_system_score_codex":0.0016822065,"about_ca_system_score_gemma":0.0027633063,"threshold_uncertainty_score":0.11502695},"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":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.99780625,0.00006228671,0.00023937308,0.00007113488,0.000012718581,0.00029156954,0.00019975247,0.0000069498137,0.0013099387],"genre_scores_gemma":[0.99568874,0.00008904083,0.0004590739,0.00014154059,0.000020541276,0.00025143314,0.00025050496,0.000010207397,0.0030888957],"study_design_codex":"observational","study_design_gemma":"observational","domain_scores_codex":[0.9992391,0.00040068288,0.000051256207,0.00013658953,0.000088348694,0.00008400291],"domain_scores_gemma":[0.99720085,0.0015665377,0.00017385998,0.000276686,0.00026534637,0.00051668636],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0011997507,0.00052171986,0.0004457909,0.00067778246,0.0011487505,0.00043804976,0.00047644842,0.00069685205,0.0058244914],"category_scores_gemma":[0.0040682536,0.00024045915,0.00027674934,0.0004848828,0.0007226735,0.00066474086,0.0006903467,0.0007642399,0.0011064686],"study_design_candidate":"observational","study_design_consensus":"observational","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.027280094,0.061691508,0.6648675,0.00040012447,0.00027228124,0.03417389,0.038918942,0.0005914866,0.042822648,0.001422674,0.0044155247,0.12314334],"study_design_scores_gemma":[0.002360172,0.09903798,0.86295545,0.000034723293,0.00013346059,0.010256413,0.014198606,0.0007446163,0.0027606708,0.0010840284,0.0063389037,0.00009488815],"about_ca_topic_score_codex":0.008320293,"about_ca_topic_score_gemma":0.007659105,"teacher_disagreement_score":0.008320293,"about_ca_system_score_codex":0.00034850705,"about_ca_system_score_gemma":0.00048819234,"threshold_uncertainty_score":0.019484818},"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":"other","genre_gemma":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":"other","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.0058794203,0.061416574,0.0030928801,0.013418949,0.06615221,0.00038923873,0.0048717638,0.0013173032,0.8434618],"genre_scores_gemma":[0.0094256485,0.030004172,0.00135428,0.0047287527,0.007930095,0.00017908859,0.0072322874,0.00045697298,0.9386889],"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","domain_scores_codex":[0.99942195,0.00004743291,0.000038899394,0.00012324157,0.00031386406,0.000054622233],"domain_scores_gemma":[0.99921024,0.00010663287,0.00003954352,0.00009702425,0.00034815609,0.00019832664],"candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008177127,0.0014058615,0.0009923332,0.0013137821,0.0010900238,0.0064107305,0.0014707478,0.0018069001,0.5674304],"category_scores_gemma":[0.0011381436,0.00067510543,0.00067187916,0.0018391894,0.00090826856,0.0021063357,0.001512388,0.0031997385,0.49951535],"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":[0.0003139261,0.00041168527,0.001655998,0.00059000636,0.000058177426,0.0004092407,0.000058625043,0.00013686209,0.0075353514,0.0016101914,0.78351724,0.20370269],"study_design_scores_gemma":[0.000023713597,0.00003908522,0.0026437861,0.00017054734,0.00001731215,0.00042003082,0.00008680544,0.00015858193,0.00094002485,0.00035567954,0.99513465,0.000009765213],"about_ca_topic_score_codex":0.0011921495,"about_ca_topic_score_gemma":0.0021371148,"teacher_disagreement_score":0.43256962,"about_ca_system_score_codex":0.0008721499,"about_ca_system_score_gemma":0.0007503461,"threshold_uncertainty_score":0.6170081},"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":"empirical","genre_gemma":"empirical","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"empirical","genre_consensus":"empirical","domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.9625602,0.00024682528,0.008305011,0.00042882704,0.00002768825,0.000074939155,0.000027189792,0.000034338485,0.02829503],"genre_scores_gemma":[0.9888292,0.00028510517,0.0038196887,0.0001243785,0.000012056804,0.000044621647,0.000018987706,0.000016514938,0.0068494678],"study_design_codex":"qualitative","study_design_gemma":"qualitative","domain_scores_codex":[0.9970662,0.0018431551,0.00008753362,0.00027911772,0.00048577847,0.00023827665],"domain_scores_gemma":[0.9940806,0.0045273034,0.00034984638,0.00027272542,0.0005027994,0.00026666012],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0034057284,0.00032883216,0.0001922121,0.0008644571,0.0022521515,0.002765871,0.0008845018,0.00093850266,0.0043109446],"category_scores_gemma":[0.006236493,0.00036554245,0.0001797767,0.00062599755,0.002817161,0.0021151246,0.0030768334,0.0011477683,0.0006264861],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.00017820093,0.0004975209,0.0103234565,0.00057905173,0.00001890489,0.0033986738,0.8569515,0.0004236506,0.03934068,0.021445597,0.00117692,0.06566593],"study_design_scores_gemma":[0.000019676385,0.0010070845,0.017266065,0.00029210295,0.00002475373,0.0029398208,0.8836934,0.0019142545,0.014775548,0.0025540132,0.0754706,0.00004269652],"about_ca_topic_score_codex":0.001189084,"about_ca_topic_score_gemma":0.003522863,"teacher_disagreement_score":0.0043109446,"about_ca_system_score_codex":0.0008756567,"about_ca_system_score_gemma":0.00086410047,"threshold_uncertainty_score":0.01801145},"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":"other","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"other","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.7950279,0.01182272,0.0030832468,0.045734733,0.0007354379,0.0000380635,0.0009805965,0.00005795838,0.14251941],"genre_scores_gemma":[0.89554226,0.0028141346,0.0010429946,0.0011235609,0.00006776844,0.000018985975,0.00019042396,0.00003481059,0.09916494],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.9991192,0.000156907,0.000023189561,0.00009279072,0.00023556105,0.00037220857],"domain_scores_gemma":[0.9987087,0.00019597355,0.00015683536,0.000042859887,0.00040708174,0.0004886434],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009056497,0.00028450493,0.00044357352,0.0012003788,0.008836773,0.0051483717,0.0008992832,0.0013876872,0.009267251],"category_scores_gemma":[0.001961459,0.00028411028,0.00034873374,0.0032216203,0.004922457,0.0015428961,0.0016199806,0.003652863,0.00046630925],"study_design_candidate":"not_applicable","study_design_consensus":null,"about_ca_topic_candidate":true,"about_ca_topic_consensus":true,"about_ca_system_candidate":false,"about_ca_system_consensus":false,"study_design_scores_codex":[0.0008701845,0.00018079826,0.07282705,0.00051528367,0.00015282887,0.0041678455,0.09157975,0.009364064,0.001895376,0.6669218,0.053123023,0.09840204],"study_design_scores_gemma":[0.00008945212,0.000114897586,0.19993424,0.0006694944,0.000054126824,0.0004548324,0.07118621,0.004045155,0.0005142315,0.022414653,0.7004125,0.00011024195],"about_ca_topic_score_codex":0.9863418,"about_ca_topic_score_gemma":0.9942378,"teacher_disagreement_score":0.068491966,"about_ca_system_score_codex":0.068491966,"about_ca_system_score_gemma":0.06470993,"threshold_uncertainty_score":0.49694633},"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":"methods","domain_codex":null,"domain_gemma":null,"model_version":"metacan-v3-hybrid-931329e0061c","genre_candidate":"methods","genre_consensus":null,"domain_candidate":null,"domain_consensus":null,"prediction_status":"machine_predicted_unvalidated","genre_scores_codex":[0.013477834,0.012641937,0.24366985,0.004319163,0.0016104355,0.000025846104,0.00018071153,0.00039237624,0.7236819],"genre_scores_gemma":[0.33521459,0.018578095,0.065743156,0.0018929994,0.0017405623,0.00013906304,0.00030409056,0.0007202475,0.57566726],"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","domain_scores_codex":[0.99978894,0.000060005546,0.000007955544,0.000041376963,0.00008281152,0.000018879638],"domain_scores_gemma":[0.9997025,0.00012543633,0.000018067629,0.000051011222,0.000085228676,0.00001773893],"candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00043588044,0.0006490991,0.0004561119,0.0011024845,0.00061684515,0.0021751616,0.00063252257,0.0010065151,0.0058232606],"category_scores_gemma":[0.0015751596,0.00026119628,0.00028352308,0.0011987077,0.002409361,0.0033521133,0.00078280934,0.0029336542,0.0033862332],"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":[0.0000022718577,0.0000013979782,0.000016122975,0.000011233826,0.0000010685033,0.00000893725,0.000046987767,0.00035105445,0.0001346938,0.9812557,0.004407715,0.013762864],"study_design_scores_gemma":[0.0000015155457,0.0000035115313,0.000045111043,0.00002371291,0.0000024215003,0.00009857509,0.00003490512,0.0016334609,0.00028561542,0.92753357,0.070332274,0.0000052364644],"about_ca_topic_score_codex":0.001394925,"about_ca_topic_score_gemma":0.00069296325,"teacher_disagreement_score":0.0058232606,"about_ca_system_score_codex":0.0013705466,"about_ca_system_score_gemma":0.0006353977,"threshold_uncertainty_score":0.019480705},"labels":[],"label_agreement":null}]}