{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":110,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":110,"direct_label_status":"direct model label, unvalidated","prediction_status":"machine_predicted_unvalidated (Codex and Gemma teacher distillation)","score_status":"score_only:v0-immature-baseline (scores rank; they never assert a category)","snapshot":{"source":"OpenAlex, pinned release, all 482 partitions","release":"2026-06-24","frame_built":"2026-07-12","author_layer_release":"2026-06-26"},"query_hash":"4837c7d04820","filters":{"venue":"Journal of Approximation Theory"}},"results":[{"id":"W2012766363","doi":"10.1016/j.jat.2009.11.002","title":"An extension of Bochner’s problem: Exceptional invariant subspaces","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":250,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University; McGill University","funders":"","keywords":"Mathematics; Linear subspace; Differential operator; Pure mathematics; Polynomial; Invariant polynomial; Eigenfunction; Invariant (physics); Codimension; Matrix polynomial; Discrete mathematics; Mathematical analysis; Eigenvalues and eigenvectors","authors":[{"name":"David Gómez‐Ullate","is_ca":false},{"name":"Niky Kamran","is_ca":true},{"name":"Robert Milson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04002166652768455,"gpt":0.3207885057019265,"spread":0.2807668391742419,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001561532,0.0007229752,0.001237504,0.002256723,0.001703186,0.002214658,0.001533243,0.001652809,0.005587768],"category_scores_gemma":[0.004175172,0.000348132,0.001324359,0.001545605,0.003371908,0.006323215,0.003885257,0.003838182,0.0004912611],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001063317,"about_ca_system_score_gemma":0.0007728759,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000624812,"about_ca_topic_score_gemma":0.0005066803,"domain_scores_codex":[0.9991332,0.000322299,0.0000441179,0.0001498792,0.0001862749,0.000164343],"domain_scores_gemma":[0.9986672,0.0004560514,0.0001639448,0.0001822087,0.0002274483,0.0003030362],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002475051,0.00002303393,0.0001149751,0.00002714084,0.000006504341,0.00008225698,0.00007645434,0.0009464006,0.0002368099,0.9938073,0.001084818,0.003569676],"study_design_scores_gemma":[0.00001192672,0.00001214893,0.0001103332,0.000008321774,0.000005075838,0.0001240256,0.00005186878,0.007529775,0.0001614872,0.9901121,0.001863261,0.000009646019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3696296,0.002184872,0.3970077,0.009883701,0.001839124,0.00009116744,0.0003785563,0.000271104,0.2187143],"genre_scores_gemma":[0.9243683,0.001436121,0.04071067,0.0009132692,0.002062383,0.00006662045,0.0003590844,0.0001210518,0.02996252],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005587768,"threshold_uncertainty_score":0.01869291,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2166406271","doi":"10.1016/j.jat.2004.02.006","title":"Finding best approximation pairs relative to two closed convex sets in Hilbert spaces","year":2004,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":210,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Pacific Institute for the Mathematical Sciences; Simon Fraser University; University of Guelph","funders":"","keywords":"Mathematics; Hilbert space; Monotone polygon; Regular polygon; Space (punctuation); Product (mathematics); Zero (linguistics); Subderivative; Combinatorics; Discrete mathematics; Pure mathematics; Convex optimization; Geometry","authors":[{"name":"Heinz H. Bauschke","is_ca":true},{"name":"Patrick L. Combettes","is_ca":false},{"name":"D. Lüke","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06930199348747455,"gpt":0.3668878007501858,"spread":0.2975858072627112,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005022468,0.001685347,0.003600916,0.003594296,0.001575547,0.005711816,0.00255982,0.003934888,0.004408868],"category_scores_gemma":[0.03200699,0.00228737,0.001956187,0.001811777,0.00370054,0.01019588,0.005783733,0.004760818,0.0005955402],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002338002,"about_ca_system_score_gemma":0.001287879,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001326131,"about_ca_topic_score_gemma":0.001068953,"domain_scores_codex":[0.9961467,0.001885603,0.0002618471,0.0006831362,0.0007617708,0.0002609335],"domain_scores_gemma":[0.9867653,0.01027409,0.0008423295,0.0006763726,0.0008994453,0.0005425301],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.002560773,0.0005389019,0.007682359,0.00116448,0.0006065412,0.0005941956,0.002607324,0.3426187,0.01272551,0.4024179,0.006200556,0.2202826],"study_design_scores_gemma":[0.00007523071,0.000390011,0.0007873902,0.0001295993,0.0001129646,0.0002427819,0.0007982563,0.7403302,0.006173302,0.2490791,0.001822717,0.00005844653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.108705,0.0008386426,0.8861563,0.0008416198,0.00009575256,0.0001029884,0.0001309324,0.0003118606,0.002816977],"genre_scores_gemma":[0.5194837,0.0006044984,0.4763407,0.0001568452,0.00007408687,0.0001920625,0.0003983918,0.0003232535,0.002426421],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005711816,"threshold_uncertainty_score":0.02656168,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2086763954","doi":"10.1016/s0021-9045(03)00120-5","title":"Vector cascade algorithms and refinable function vectors in Sobolev spaces","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":164,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Cascade; Mathematics; Sobolev space; Scalar (mathematics); Algorithm; Convergence (economics); Vector-valued function; Applied mathematics; Mathematical analysis; Geometry","authors":[{"name":"Bin Han","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.006625476822312511,"gpt":0.220979555758396,"spread":0.2143540789360834,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003319552,0.001174348,0.001231901,0.001869934,0.0006253383,0.002244451,0.001848651,0.002235576,0.003840179],"category_scores_gemma":[0.009963728,0.0009266281,0.0008274935,0.001489917,0.001993237,0.004044496,0.00252233,0.003312385,0.0007601061],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001084435,"about_ca_system_score_gemma":0.0008315543,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001800832,"about_ca_topic_score_gemma":0.001698988,"domain_scores_codex":[0.9992317,0.0003376713,0.00004811642,0.00009424621,0.0002193004,0.00006902503],"domain_scores_gemma":[0.996729,0.002076252,0.0002566407,0.0002662865,0.0004665419,0.0002052942],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004312425,0.0001132394,0.0009087787,0.0002333703,0.00006819058,0.0001263674,0.0002556301,0.1856726,0.009227853,0.6969334,0.002707599,0.1033216],"study_design_scores_gemma":[0.00001794324,0.00005097456,0.00008098709,0.00001672036,0.000009823398,0.00002528528,0.0000193859,0.9320057,0.001551851,0.06457477,0.001634279,0.00001225557],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.009795976,0.0004464645,0.9877338,0.0001600302,0.0001127432,0.00003037831,0.00002242147,0.0001200285,0.001578232],"genre_scores_gemma":[0.3391471,0.001863891,0.6399561,0.0002253731,0.0003173559,0.0002653694,0.0002884979,0.0003123861,0.01762398],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003840179,"threshold_uncertainty_score":0.01755565,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2082089361","doi":"10.1016/j.jat.2006.03.008","title":"Bivariate Lagrange interpolation at the Padua points: The generating curve approach","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":127,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Interpolation (computer graphics); Bivariate analysis; Trigonometric interpolation; Lagrange polynomial; Birkhoff interpolation; Simple (philosophy); Applied mathematics; Polynomial interpolation; Lebesgue integration; Linear interpolation; Pure mathematics; Mathematical analysis; Statistics","authors":[{"name":"Len Bos","is_ca":true},{"name":"Marco Caliari","is_ca":false},{"name":"Stefano De Marchı","is_ca":false},{"name":"Marco Vianello","is_ca":false},{"name":"Yuan Xu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.006853733283551202,"gpt":0.2161392506115856,"spread":0.2092855173280344,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002094212,0.0006433477,0.000967767,0.002022524,0.0007274643,0.001653715,0.001183015,0.001065331,0.005209761],"category_scores_gemma":[0.009902845,0.0004561741,0.0007415384,0.001695077,0.001446924,0.002156199,0.002060005,0.00284009,0.001091581],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007234449,"about_ca_system_score_gemma":0.0008906292,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001111253,"about_ca_topic_score_gemma":0.0008400885,"domain_scores_codex":[0.9994189,0.0003048783,0.00001534917,0.00006395895,0.000138869,0.00005798651],"domain_scores_gemma":[0.9982911,0.0009028995,0.0001274865,0.000232696,0.0003398132,0.0001061392],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005112384,0.00002188954,0.0005279789,0.00005129056,0.00001166714,0.00006396687,0.0001099612,0.04576492,0.001136243,0.90757,0.001440956,0.04325003],"study_design_scores_gemma":[0.00001387695,0.00003711307,0.0002526812,0.00004337907,0.00001538003,0.00009554107,0.00004527513,0.6460049,0.00171203,0.3440421,0.007712507,0.00002519664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01830838,0.0003461155,0.9700559,0.0003282201,0.0000877298,0.00002428243,0.00005652201,0.000117902,0.01067493],"genre_scores_gemma":[0.6185147,0.002052409,0.3532147,0.0002102313,0.000358521,0.0001544274,0.0002359574,0.000498864,0.02476024],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005209761,"threshold_uncertainty_score":0.01742846,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2963899645","doi":"10.1016/j.jat.2014.06.002","title":"The rate of linear convergence of the Douglas–Rachford algorithm for subspaces is the cosine of the Friedrichs angle","year":2014,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":112,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Conselho Nacional de Desenvolvimento Científico e Tecnológico","keywords":"Linear subspace; Mathematics; Intersection (aeronautics); Rate of convergence; Hilbert space; Trigonometric functions; Projection (relational algebra); Convergence (economics); Regular polygon; Point (geometry); Algorithm; Orthographic projection; Applied mathematics; Mathematical analysis; Pure mathematics; Computer science; Geometry","authors":[{"name":"Heinz H. Bauschke","is_ca":true},{"name":"Yunier Bello-Cruz","is_ca":false},{"name":"T. T. A. Nghia","is_ca":true},{"name":"Hung M. Phan","is_ca":true},{"name":"Xianfu Wang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.008027509989422685,"gpt":0.227751311518617,"spread":0.2197238015291944,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01166629,0.001426971,0.001247495,0.00221784,0.00121048,0.003010627,0.002392524,0.002311973,0.007419782],"category_scores_gemma":[0.05143667,0.0007028728,0.0009400581,0.001481519,0.004005719,0.005719813,0.003774978,0.00430058,0.002372164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00180822,"about_ca_system_score_gemma":0.001705727,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001998475,"about_ca_topic_score_gemma":0.001250896,"domain_scores_codex":[0.9961579,0.001885224,0.0001678339,0.000525717,0.0009141785,0.0003492169],"domain_scores_gemma":[0.9723528,0.01973564,0.001043779,0.002253304,0.003762044,0.0008523742],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0005111255,0.00009986963,0.002925892,0.0005165986,0.0001131211,0.0001631524,0.0004906393,0.09395614,0.009668321,0.7911468,0.006956158,0.0934521],"study_design_scores_gemma":[0.00006024375,0.0002041091,0.001687913,0.0002116687,0.00004901754,0.0004395185,0.0002092294,0.6832101,0.01253251,0.2901238,0.01114652,0.0001253869],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05134073,0.003384406,0.9188583,0.002134474,0.0005705892,0.0001208539,0.0002905868,0.0007184463,0.02258159],"genre_scores_gemma":[0.6230777,0.005532956,0.3332008,0.001114099,0.0008128076,0.0005789525,0.0009537925,0.001833879,0.03289487],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01166629,"threshold_uncertainty_score":0.06169802,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1993673174","doi":"10.1006/jath.2000.3545","title":"Approximation Properties and Construction of Hermite Interpolants and Biorthogonal Multiwavelets","year":2001,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":93,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Biorthogonal system; Mathematics; Hermite polynomials; Hermite interpolation; Matrix (chemical analysis); Applied mathematics; Dilation (metric space); Pure mathematics; Mathematical analysis; Wavelet; Combinatorics; Wavelet transform; Computer science","authors":[{"name":"Bin Han","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01222835190857761,"gpt":0.2154383519094687,"spread":0.2032100000008911,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001822443,0.000582032,0.0005631337,0.001246704,0.0005689117,0.001855576,0.0008160457,0.0008170467,0.001608897],"category_scores_gemma":[0.004187236,0.0004831379,0.0005522565,0.001000951,0.001266376,0.0016715,0.001229002,0.001908241,0.0005516788],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004300929,"about_ca_system_score_gemma":0.0004439849,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002884023,"about_ca_topic_score_gemma":0.0002950345,"domain_scores_codex":[0.9994326,0.0001763436,0.00003265079,0.00005917399,0.0002397985,0.00005940927],"domain_scores_gemma":[0.9985974,0.0005959318,0.0001539021,0.0002595356,0.0002884454,0.0001047767],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002439092,0.0001094985,0.000611819,0.00009542971,0.00002307699,0.0001776155,0.0002176415,0.03669647,0.03041944,0.8724864,0.0008986379,0.0580201],"study_design_scores_gemma":[0.00002631241,0.00009842806,0.0003313578,0.00002909053,0.00002318194,0.0003250352,0.00008397115,0.7804464,0.031997,0.1821912,0.004407049,0.00004109777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04545246,0.0002033139,0.9502398,0.0001209106,0.00007031462,0.00002353455,0.00005084787,0.0001049298,0.003733841],"genre_scores_gemma":[0.5123302,0.0008503558,0.478121,0.0001308398,0.0001387374,0.00008056787,0.0003107942,0.0003150884,0.007722296],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.001855576,"threshold_uncertainty_score":0.009638131,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2072478599","doi":"10.1016/j.jat.2004.12.008","title":"Ul’yanov and Nikol'skii-type inequalities","year":2005,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":80,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Type (biology); Inequality; Pure mathematics; Mathematical analysis","authors":[{"name":"Z. Ditzian","is_ca":true},{"name":"Sergey Tikhonov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06511926676922151,"gpt":0.3722513155934002,"spread":0.3071320488241787,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002089854,0.001198168,0.001397037,0.002223213,0.002154435,0.003090307,0.001761544,0.002258791,0.01133233],"category_scores_gemma":[0.006410026,0.0005013243,0.001545078,0.002120212,0.002897111,0.00560625,0.005071137,0.005871406,0.001475098],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003182428,"about_ca_system_score_gemma":0.00181075,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002619365,"about_ca_topic_score_gemma":0.001962762,"domain_scores_codex":[0.9990907,0.0002390934,0.00005568072,0.0001389902,0.0002337047,0.0002417869],"domain_scores_gemma":[0.998333,0.00076878,0.0001352959,0.0001540282,0.0004041671,0.0002047563],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004640263,0.00001405794,0.0001416038,0.00007148283,0.00001765208,0.00004095717,0.0001266234,0.0008631172,0.0006515899,0.9904536,0.002799032,0.004773924],"study_design_scores_gemma":[0.00002412376,0.00001524941,0.0005271106,0.00004596021,0.00002315887,0.0001241075,0.0001464092,0.01152747,0.0006094135,0.9675223,0.01941106,0.00002366533],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.09832752,0.02148272,0.3812536,0.01944129,0.003666944,0.0001257892,0.001332077,0.00022648,0.4741437],"genre_scores_gemma":[0.8179314,0.01054476,0.0529127,0.003100278,0.001808997,0.0003475997,0.0007428434,0.0002912375,0.1123202],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01133233,"threshold_uncertainty_score":0.0379104,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2107320948","doi":"10.1016/j.jat.2009.09.008","title":"Cauchy biorthogonal polynomials","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":68,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Saskatchewan; Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Biorthogonal system; Hermite polynomials; Orthogonal polynomials; Jacobi polynomials; Positive-definite matrix; Classical orthogonal polynomials; Peakon; Kernel (algebra); Discrete orthogonal polynomials; Pure mathematics; Cauchy distribution; Wilson polynomials; Hermitian matrix; Gegenbauer polynomials; Inverse; Difference polynomials; Laguerre polynomials; Random matrix; Mathematical analysis; Eigenvalues and eigenvectors","authors":[{"name":"Marco Bertola","is_ca":true},{"name":"M. Gekhtman","is_ca":false},{"name":"Jacek Szmigielski","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.007001931759014619,"gpt":0.2572374944246489,"spread":0.2502355626656342,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006607667,0.0008909994,0.0005241623,0.002101272,0.001057375,0.002177971,0.0007167637,0.0009496771,0.007870873],"category_scores_gemma":[0.002685513,0.0002779361,0.0005048698,0.001171089,0.002392087,0.003437707,0.001413157,0.002881262,0.001804015],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009955325,"about_ca_system_score_gemma":0.0006934366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006167767,"about_ca_topic_score_gemma":0.0005021409,"domain_scores_codex":[0.9996623,0.00008924445,0.00001462327,0.00005455466,0.0001250634,0.00005429365],"domain_scores_gemma":[0.999076,0.0002749237,0.00009432953,0.0001132993,0.0002714464,0.0001700226],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001031164,0.000005102235,0.00003190342,0.00001130399,0.000001930067,0.00001994695,0.00005845417,0.0002816889,0.0005577233,0.9952081,0.0006393683,0.003174165],"study_design_scores_gemma":[0.000007038591,0.00001270685,0.0001717511,0.00001096615,0.000003740136,0.0001727307,0.000048375,0.009039876,0.0006402718,0.9839716,0.005907887,0.00001304739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2235685,0.004026486,0.3776106,0.006493795,0.003064662,0.00008056533,0.0005324606,0.0003924204,0.3842306],"genre_scores_gemma":[0.8239698,0.003498823,0.048892,0.0008224584,0.002234031,0.00006682357,0.0003580674,0.0002666893,0.1198913],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007870873,"threshold_uncertainty_score":0.02633071,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2161830793","doi":"10.1016/j.jat.2004.07.007","title":"Approximation with scaled shift-invariant spaces by means of quasi-projection operators","year":2004,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":67,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Projection (relational algebra); Lipschitz continuity; Operator theory; Spline (mechanical); Smoothness; Wavelet; Invariant (physics); Minimax approximation algorithm; Mathematical analysis; Applied mathematics; Algorithm; Computer science; Artificial intelligence","authors":[{"name":"Rong-Qing Jia","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.004930028253939086,"gpt":0.2158408961978694,"spread":0.2109108679439304,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001749993,0.0009529042,0.000899701,0.0009797137,0.0005745427,0.001998916,0.00107952,0.0009480399,0.002238802],"category_scores_gemma":[0.003257109,0.0004941857,0.0008576188,0.0008606837,0.002055278,0.003184991,0.002327487,0.001708615,0.0003686891],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007203876,"about_ca_system_score_gemma":0.0008652866,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009392608,"about_ca_topic_score_gemma":0.0007838203,"domain_scores_codex":[0.9992907,0.000342359,0.00004356834,0.00006810268,0.0001973816,0.00005784101],"domain_scores_gemma":[0.9989865,0.0003731838,0.0001119646,0.0001752814,0.0002327085,0.0001202882],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001246008,0.0000456535,0.0002326345,0.00008831992,0.00004662453,0.0000872342,0.0001325658,0.07022952,0.006511449,0.9094476,0.000684494,0.01236935],"study_design_scores_gemma":[0.000021165,0.00005249945,0.0001152768,0.0000105381,0.00001211395,0.00004694004,0.00003400395,0.7828495,0.001786318,0.2136776,0.001373471,0.00002051862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03580295,0.0003820697,0.9603538,0.0002518096,0.0002057422,0.00002187183,0.00002960594,0.0001053767,0.002846817],"genre_scores_gemma":[0.6073847,0.001457085,0.379813,0.0002268346,0.0003157126,0.0001309972,0.0001314534,0.0002319253,0.01030829],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002238802,"threshold_uncertainty_score":0.009254932,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2159942797","doi":"10.1016/j.jat.2004.10.003","title":"Combinations of multivariate averages","year":2004,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":54,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Smoothness; SPHERES; Multivariate statistics; Degree (music); Applied mathematics; Mathematical analysis; Statistics; Physics","authors":[{"name":"Feng Dai","is_ca":true},{"name":"Z. Ditzian","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.006142129446033879,"gpt":0.239128936119795,"spread":0.2329868066737611,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002777056,0.001224502,0.001620443,0.003379367,0.001108802,0.002971495,0.00141495,0.001062283,0.01157046],"category_scores_gemma":[0.01036414,0.0007668461,0.001550264,0.003106273,0.001184013,0.004901866,0.002557215,0.002078223,0.002650503],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005649256,"about_ca_system_score_gemma":0.0005627837,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002898142,"about_ca_topic_score_gemma":0.0005418716,"domain_scores_codex":[0.9974546,0.0008520397,0.0002097489,0.0005219687,0.0007518723,0.0002097745],"domain_scores_gemma":[0.9960224,0.001366204,0.0004360619,0.0009884705,0.0008797753,0.0003070054],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001916508,0.00004829654,0.001461164,0.0001528895,0.0002224354,0.0002397104,0.000134854,0.01138809,0.008059567,0.8542838,0.007123819,0.1166937],"study_design_scores_gemma":[0.00001790336,0.00008161547,0.001779197,0.00005080598,0.0001596194,0.0009050425,0.00008484691,0.191611,0.005840017,0.7773543,0.02202876,0.00008684012],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02422871,0.001268971,0.9481133,0.0004029542,0.0006744446,0.00003687968,0.0002430644,0.000629384,0.02440216],"genre_scores_gemma":[0.5772803,0.003515203,0.3610895,0.0005711484,0.002268845,0.0002397637,0.001162238,0.001553549,0.05231943],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01157046,"threshold_uncertainty_score":0.03870702,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2072513946","doi":"10.1016/j.jat.2003.09.005","title":"Multivariate approximating averages","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":53,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Converse; Multivariate statistics; Iterated function; Contrast (vision); Type (biology); Inequality; Pure mathematics; Combinatorics; Mathematical analysis; Applied mathematics; Statistics; Geometry","authors":[{"name":"Eduard Belinsky","is_ca":false},{"name":"Feng Dai","is_ca":false},{"name":"Z. Ditzian","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04348682330195442,"gpt":0.3171699987697028,"spread":0.2736831754677483,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00280498,0.001158566,0.001986266,0.002566061,0.001150676,0.003848694,0.001226291,0.001393193,0.009242636],"category_scores_gemma":[0.01552387,0.0005604305,0.001079922,0.003048622,0.00221847,0.007677229,0.002979875,0.004018279,0.001290609],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001555375,"about_ca_system_score_gemma":0.0008018739,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001061252,"about_ca_topic_score_gemma":0.000756328,"domain_scores_codex":[0.9982863,0.0006026519,0.0000919873,0.0003562999,0.0005429055,0.000119854],"domain_scores_gemma":[0.9947351,0.002085595,0.0005159916,0.0009988379,0.001233788,0.0004306687],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000251057,0.00001641533,0.0002867529,0.00003046947,0.00002495037,0.0000178343,0.00005318513,0.003473624,0.0004214533,0.9783971,0.002748872,0.01450414],"study_design_scores_gemma":[0.000006209547,0.0000219451,0.0003980012,0.00001841239,0.00003108246,0.0001148013,0.00004399105,0.06288067,0.0005425643,0.9285202,0.007407076,0.00001505757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05669285,0.005333406,0.8861034,0.004179688,0.001680951,0.00003469689,0.0003853045,0.0004805621,0.04510907],"genre_scores_gemma":[0.7653549,0.008831033,0.1443852,0.0009819139,0.003768264,0.0001488283,0.001112889,0.0007622323,0.07465461],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009242636,"threshold_uncertainty_score":0.03091967,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W985737668","doi":"10.1016/j.jat.2015.12.003","title":"Recurrence relations for exceptional Hermite polynomials","year":2016,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":52,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada; Onderzoeksraad, KU Leuven; Ministerio de Economía y Competitividad","keywords":"Mathematics; Hermite polynomials; Isomorphism (crystallography); Orthogonal polynomials; Eigenvalues and eigenvectors; Pure mathematics; Eigenfunction; Differential operator; Classical orthogonal polynomials; Difference polynomials; Ring (chemistry); Differential (mechanical device); Algebra over a field","authors":[{"name":"David Gómez‐Ullate","is_ca":false},{"name":"Alex Kasman","is_ca":false},{"name":"Arno B. J. Kuijlaars","is_ca":false},{"name":"Robert Milson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01572053836398739,"gpt":0.2642586752188247,"spread":0.2485381368548373,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003142277,0.0008733339,0.001400523,0.003636422,0.002089331,0.003757507,0.002075548,0.001390263,0.006264773],"category_scores_gemma":[0.01275342,0.0006491084,0.0009166189,0.002639936,0.003710391,0.004793706,0.002094434,0.00335865,0.001100028],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002075213,"about_ca_system_score_gemma":0.001065565,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002212598,"about_ca_topic_score_gemma":0.003182193,"domain_scores_codex":[0.9987026,0.0003614073,0.0001243249,0.0001783554,0.0003460631,0.0002871882],"domain_scores_gemma":[0.993243,0.00359416,0.001091082,0.0004721517,0.0009248868,0.0006746609],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000286623,0.00002050693,0.0003461396,0.00003100195,0.000007628114,0.0001192782,0.0002415361,0.001024789,0.000502124,0.9936067,0.0010079,0.003063822],"study_design_scores_gemma":[0.00001159627,0.000008399449,0.0002135485,0.00001309391,0.000007727499,0.00009549849,0.00005053824,0.01462397,0.0002591357,0.983786,0.0009055358,0.00002483612],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5185865,0.004540197,0.3746487,0.004415506,0.0009956545,0.000114223,0.0006647677,0.0006381198,0.09539635],"genre_scores_gemma":[0.9611813,0.001102836,0.02130151,0.0003756155,0.0006988585,0.00008476134,0.0003949029,0.0001937832,0.01466643],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006264773,"threshold_uncertainty_score":0.02095777,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1963647060","doi":"10.1016/j.jat.2007.04.015","title":"Sharp Jackson inequalities","year":2007,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Trigonometry; Unit sphere; Exponential function; Algebraic number; Smoothness; Trigonometric polynomial; Combinatorics; Pure mathematics; Inequality; Exponential type; Type (biology); Algebra over a field; Mathematical analysis","authors":[{"name":"Feng Dai","is_ca":true},{"name":"Z. Ditzian","is_ca":true},{"name":"Sergey Tikhonov","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05918308603531314,"gpt":0.3450816928969012,"spread":0.2858986068615881,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003173081,0.001685647,0.001491166,0.003978907,0.001881083,0.004169688,0.001732391,0.002330701,0.01600957],"category_scores_gemma":[0.01304957,0.0008299509,0.001569024,0.002114686,0.003715305,0.008938656,0.004710965,0.008989676,0.002239145],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002475127,"about_ca_system_score_gemma":0.0009895539,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001216378,"about_ca_topic_score_gemma":0.001013182,"domain_scores_codex":[0.9986885,0.0003619534,0.0000603788,0.0002712607,0.0004402404,0.0001776362],"domain_scores_gemma":[0.9956721,0.00224751,0.0003203755,0.0005051721,0.0008068312,0.0004480524],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001214519,0.00000769424,0.00004716135,0.00002581244,0.000007340047,0.00001846208,0.00005303237,0.0003469158,0.0003117515,0.9933136,0.002555111,0.003300937],"study_design_scores_gemma":[0.000007722314,0.000007726374,0.000102176,0.00001609344,0.0000134076,0.00007636573,0.00002672225,0.004143374,0.0002312882,0.987614,0.007752129,0.000008882135],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05292288,0.01059872,0.498281,0.0178304,0.002918927,0.00008224866,0.0006104038,0.0005636979,0.4161917],"genre_scores_gemma":[0.6742035,0.009562068,0.1067974,0.006205416,0.003866116,0.0002880094,0.0005949996,0.0006927433,0.1977897],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01600957,"threshold_uncertainty_score":0.05355734,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2028684262","doi":"10.1016/j.jat.2008.08.007","title":"Density results for Gabor systems associated with periodic subsets of the real line","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":46,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Gabor transform; Window function; Invariant (physics); Measure (data warehouse); Mathematical analysis; Combinatorics; Pure mathematics; Time–frequency analysis; Statistics","authors":[{"name":"Jean‐Pierre Gabardo","is_ca":true},{"name":"Yun‐Zhang Li","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06291068522143357,"gpt":0.3122701405754438,"spread":0.2493594553540103,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001524366,0.0006960754,0.001172154,0.003043662,0.001341918,0.003046244,0.001178069,0.001367022,0.007254693],"category_scores_gemma":[0.007746808,0.0006830333,0.0007353903,0.001385607,0.002820848,0.004076773,0.00234402,0.001921452,0.0006309382],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001360164,"about_ca_system_score_gemma":0.0005095889,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001179068,"about_ca_topic_score_gemma":0.000741808,"domain_scores_codex":[0.9994368,0.0001626,0.00002989655,0.00008811236,0.0001798103,0.0001027263],"domain_scores_gemma":[0.9952074,0.002944915,0.0005308316,0.0003143118,0.0005472888,0.0004553621],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005946372,0.00002954037,0.0005381728,0.00008057903,0.00001968004,0.0001023395,0.0001888867,0.006697378,0.001707625,0.9853958,0.001155238,0.004025269],"study_design_scores_gemma":[0.00002805127,0.00004259199,0.001372606,0.00004906148,0.00003164948,0.0003720273,0.0002765493,0.2100454,0.001025106,0.7846294,0.002075915,0.00005174547],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3091519,0.00292227,0.6398317,0.002145808,0.0003632498,0.00007430123,0.0003409473,0.0002559721,0.04491374],"genre_scores_gemma":[0.9596463,0.001998602,0.02496582,0.0003103216,0.0004380904,0.0001055508,0.0003246655,0.0001418636,0.01206876],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007254693,"threshold_uncertainty_score":0.02426934,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2593829505","doi":"10.1016/j.jat.2012.05.008","title":"Attouch–Théra duality revisited: Paramonotonicity and operator splitting","year":2012,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":45,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; University of British Columbia; Canada Research Chairs; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Duality (order theory); Monotone polygon; Hilbert space; Operator (biology); Intersection (aeronautics); Projection (relational algebra); Pure mathematics; Combinatorics; Applied mathematics; Discrete mathematics; Algorithm","authors":[{"name":"Heinz H. Bauschke","is_ca":true},{"name":"Radu Ioan Boţ","is_ca":false},{"name":"Warren Hare","is_ca":true},{"name":"Walaa M. Moursi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01264066668480964,"gpt":0.2530446148449361,"spread":0.2404039481601265,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004060785,0.0008043837,0.001734826,0.001800686,0.002429061,0.003367763,0.00253372,0.003249943,0.008384845],"category_scores_gemma":[0.008544444,0.0006330892,0.00153911,0.001255513,0.00547353,0.00836616,0.004935929,0.006605104,0.000701523],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001476013,"about_ca_system_score_gemma":0.001544612,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00102193,"about_ca_topic_score_gemma":0.0009019889,"domain_scores_codex":[0.9985464,0.0006757778,0.00006398543,0.0002120131,0.0003306073,0.0001711332],"domain_scores_gemma":[0.997272,0.001230589,0.0002504811,0.0003920618,0.000397881,0.0004569604],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00000868496,0.00000838994,0.0000328161,0.00001326305,0.00000404351,0.00003380253,0.00004270861,0.000595348,0.0001575621,0.9975478,0.0006013484,0.0009542111],"study_design_scores_gemma":[0.000007785405,0.000007868497,0.00004595573,0.00001041567,0.00000297308,0.00006260807,0.00004809698,0.01972366,0.0000806649,0.9790922,0.0009127373,0.000005106465],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1147508,0.003920022,0.6849353,0.02213666,0.001628804,0.000096128,0.0002486627,0.0002100742,0.1720736],"genre_scores_gemma":[0.8646966,0.001989989,0.08559071,0.003291476,0.001860856,0.0001512261,0.000198908,0.0003219706,0.04189825],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008384845,"threshold_uncertainty_score":0.02805012,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1950077825","doi":"10.1016/j.jat.2015.07.002","title":"Zeros of exceptional Hermite polynomials","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":43,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Hermite polynomials; Conjecture; Partition (number theory); Zero (linguistics); Simple (philosophy); Polynomial; Orthogonal polynomials; Pure mathematics; Hermite interpolation; Combinatorics; Mathematical analysis","authors":[{"name":"Arno B. J. Kuijlaars","is_ca":false},{"name":"Robert Milson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0222792757638888,"gpt":0.263786541462833,"spread":0.2415072656989442,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001638309,0.001120311,0.001257939,0.004155484,0.002154529,0.003953185,0.001396115,0.001405359,0.006021275],"category_scores_gemma":[0.008197526,0.0007555773,0.0008068659,0.001663547,0.005331199,0.004016526,0.003585507,0.002851298,0.0009655816],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001156983,"about_ca_system_score_gemma":0.0006503989,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006554714,"about_ca_topic_score_gemma":0.0006676608,"domain_scores_codex":[0.9989727,0.00029672,0.00004959006,0.0001068523,0.0002899051,0.0002844486],"domain_scores_gemma":[0.9959673,0.001600139,0.0006262554,0.0003159007,0.0004516226,0.001038806],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001682232,0.00004930493,0.000610134,0.00003681039,0.00001466677,0.0002770839,0.0002657283,0.001331465,0.001945748,0.9913883,0.0007088514,0.003203703],"study_design_scores_gemma":[0.00004681975,0.00003557357,0.0006019121,0.0000217215,0.00001389743,0.000386,0.0001681551,0.01375368,0.001172148,0.982874,0.0008898157,0.0000363568],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8696449,0.0004984548,0.07392436,0.001491718,0.0004607151,0.00002947802,0.0001822599,0.0003294307,0.05343872],"genre_scores_gemma":[0.9898409,0.0001651851,0.003215983,0.00009648348,0.0003230195,0.00001448722,0.00008064042,0.00006651303,0.006196833],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006021275,"threshold_uncertainty_score":0.02014315,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2044811379","doi":"10.1016/j.jat.2008.08.014","title":"Bregman distances and Chebyshev sets","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":43,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria; Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; Pacific Institute for the Mathematical Sciences","keywords":"Mathematics; Euclidean space; Hilbert space; Convex set; Chebyshev filter; Closed set; Point (geometry); Regular polygon; Monotone polygon; Set (abstract data type); Euclidean distance; Set function; Euclidean geometry; Subderivative; Bregman divergence; Mathematical analysis; Applied mathematics; Convex optimization; Geometry; Computer science","authors":[{"name":"Heinz H. Bauschke","is_ca":true},{"name":"Xianfu Wang","is_ca":true},{"name":"Jane J. Ye","is_ca":true},{"name":"Xiaoming Yuan","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01159791193030638,"gpt":0.2219775932462271,"spread":0.2103796813159207,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003443725,0.0009387057,0.001356334,0.003019188,0.001773129,0.002803449,0.002171868,0.002508312,0.005176279],"category_scores_gemma":[0.01300009,0.0006314567,0.0006555486,0.002841556,0.003370599,0.005217724,0.003432407,0.00520216,0.0008188409],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002476121,"about_ca_system_score_gemma":0.001114126,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003567853,"about_ca_topic_score_gemma":0.002588687,"domain_scores_codex":[0.9981599,0.0008620474,0.00006562824,0.0002169053,0.0005720686,0.0001233452],"domain_scores_gemma":[0.9959674,0.002249889,0.0003357093,0.0004748024,0.0007042318,0.0002679371],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003382994,0.00001455217,0.0001326321,0.00002879111,0.00001110944,0.00001522902,0.00006121419,0.01558427,0.0003781567,0.9711674,0.001024712,0.01154803],"study_design_scores_gemma":[0.000008882645,0.00002385576,0.0001973036,0.00001984673,0.000006681838,0.00004584788,0.00004875448,0.1120306,0.0004234413,0.8830605,0.004114823,0.00001949064],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07641554,0.00350789,0.887441,0.002222583,0.0003611766,0.00005016394,0.0002691991,0.0001501856,0.02958217],"genre_scores_gemma":[0.683676,0.00319012,0.2682374,0.0008266157,0.0005913628,0.0001518467,0.0006037635,0.0003676518,0.04235515],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005176279,"threshold_uncertainty_score":0.01821232,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2051118339","doi":"10.1016/j.jat.2009.04.003","title":"Approximation by quasi-projection operators in Besov spaces","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":41,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Projection (relational algebra); Countable set; Scaling; Operator (biology); Combinatorics; Besov space; Discrete mathematics; Mathematical analysis; Functional analysis; Interpolation space; Geometry; Algorithm","authors":[{"name":"Rong-Qing Jia","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03045560652190676,"gpt":0.3494117464298117,"spread":0.3189561399079049,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003680937,0.001426193,0.001623448,0.002653472,0.001722953,0.004586029,0.001785156,0.001751575,0.00399209],"category_scores_gemma":[0.005989652,0.0009742763,0.001457022,0.001384729,0.004127781,0.006873735,0.004903518,0.003740351,0.0004616529],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001794725,"about_ca_system_score_gemma":0.001099445,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001681127,"about_ca_topic_score_gemma":0.001044601,"domain_scores_codex":[0.9983826,0.0007190153,0.00008919994,0.0001678533,0.000444181,0.0001972477],"domain_scores_gemma":[0.9969049,0.001257149,0.0003738362,0.0002513221,0.0005347736,0.0006779469],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006087674,0.00002251797,0.0001705376,0.00003741494,0.0000178813,0.00004892703,0.0001373791,0.00540476,0.001340516,0.9906049,0.0002862883,0.001868011],"study_design_scores_gemma":[0.00002136844,0.0000381662,0.0001672692,0.00001648358,0.00001160795,0.0000703324,0.00009306367,0.1236353,0.000535381,0.8744459,0.0009456347,0.00001941267],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2168021,0.001781236,0.7589199,0.001664745,0.0005649483,0.00007081145,0.0001803185,0.0002620923,0.01975383],"genre_scores_gemma":[0.8857194,0.002043978,0.08336393,0.0003762773,0.0007058961,0.0001154069,0.000319149,0.0002513234,0.02710455],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004586029,"threshold_uncertainty_score":0.01946688,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2109154566","doi":"10.1016/j.jat.2006.01.003","title":"A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":37,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Mathematics; Intersection (aeronautics); Hilbert space; Projection (relational algebra); Regular polygon; Sequence (biology); Space (punctuation); Hilbert manifold; Projection method; Reflection (computer programming); Convex set; Convex analysis; Mathematical analysis; Convex combination; Dykstra's projection algorithm; Pure mathematics; Combinatorics; Convex optimization; Geometry; Mathematical optimization; Algorithm","authors":[{"name":"Heinz H. Bauschke","is_ca":true},{"name":"Patrick L. Combettes","is_ca":false},{"name":"D. Lüke","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02054058143690368,"gpt":0.3152627328316414,"spread":0.2947221513947377,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003248635,0.001504488,0.002053066,0.0009933766,0.0005052275,0.001616337,0.002959568,0.001861611,0.003758973],"category_scores_gemma":[0.004984644,0.001142361,0.0020107,0.0006911232,0.002251395,0.00285792,0.004180757,0.004417005,0.001169973],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006453226,"about_ca_system_score_gemma":0.001887138,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009268792,"about_ca_topic_score_gemma":0.0008813252,"domain_scores_codex":[0.9989995,0.0004029338,0.00004682631,0.0001673328,0.0003042947,0.00007918457],"domain_scores_gemma":[0.9981584,0.001097498,0.0001098625,0.0001751972,0.0003002634,0.0001588981],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0009710882,0.0004448348,0.001307123,0.0008279876,0.000356624,0.0004365465,0.000656115,0.2933781,0.06944199,0.3637096,0.005079542,0.2633904],"study_design_scores_gemma":[0.00004211971,0.0001487211,0.00006667869,0.0000173827,0.00001933552,0.00007655007,0.00003780807,0.9778886,0.003117015,0.01775036,0.000813805,0.00002168985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003500622,0.00003141671,0.9958689,0.00004848314,0.0000171626,0.00002693515,0.00000956879,0.00007865943,0.0004182257],"genre_scores_gemma":[0.07708817,0.0001393108,0.9186568,0.00008619049,0.00004666834,0.0002485838,0.000120013,0.0002412176,0.003372987],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003758973,"threshold_uncertainty_score":0.01718062,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2007857521","doi":"10.1016/j.jat.2006.01.005","title":"On the Lebesgue constant for the Xu interpolation formula","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Trigonometric interpolation; Interpolation (computer graphics); Polynomial interpolation; Lagrange polynomial; Birkhoff interpolation; Lebesgue integration; Chebyshev nodes; Constant (computer programming); Subspace topology; Linear interpolation; Polynomial; Applied mathematics; Mathematical analysis; Discrete mathematics; Pure mathematics; Combinatorics","authors":[{"name":"Len Bos","is_ca":true},{"name":"Stefano De Marchı","is_ca":false},{"name":"Marco Vianello","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03727938516899536,"gpt":0.2947455477832661,"spread":0.2574661626142707,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008359362,0.001330475,0.002031427,0.004985221,0.00210838,0.003849152,0.002172327,0.002401459,0.006849945],"category_scores_gemma":[0.01832742,0.000688654,0.001476851,0.002968642,0.005123943,0.00829833,0.003933371,0.008037482,0.0009487217],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003372388,"about_ca_system_score_gemma":0.001415129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00262194,"about_ca_topic_score_gemma":0.001427272,"domain_scores_codex":[0.9987141,0.0005475794,0.00006158815,0.0001997749,0.000288019,0.0001889647],"domain_scores_gemma":[0.9939269,0.00396764,0.0004198078,0.0003750876,0.0007648539,0.0005456841],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000743461,0.00001681495,0.0002994274,0.00006135013,0.00001420767,0.00005621794,0.0001236978,0.001411889,0.0006584803,0.9892865,0.001070027,0.006926955],"study_design_scores_gemma":[0.00002747721,0.0000369093,0.0005787275,0.00007700663,0.00002935216,0.0001222671,0.00007440904,0.03475109,0.000708178,0.9593709,0.004178515,0.00004520903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2219571,0.02311381,0.5694217,0.01352135,0.002966933,0.0001052481,0.0004007117,0.0005856088,0.1679276],"genre_scores_gemma":[0.8677939,0.009684361,0.07656198,0.002568192,0.002674767,0.0001649126,0.0003465182,0.0005035054,0.03970175],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008359362,"threshold_uncertainty_score":0.04420906,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2091718534","doi":"10.1016/j.jat.2007.04.007","title":"Gaussian averages of interpolated bodies and applications to approximate reconstruction","year":2007,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Infimum and supremum; Intersection (aeronautics); Gaussian process; Gaussian; Applied mathematics; Combinatorics","authors":[{"name":"Y. Gordon","is_ca":false},{"name":"Alexander E. Litvak","is_ca":true},{"name":"Shahar Mendelson","is_ca":false},{"name":"Alain Pajor","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03811373082253219,"gpt":0.3511825393245754,"spread":0.3130688085020432,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005188888,0.0009933255,0.002126469,0.002351221,0.000694634,0.002275198,0.002841566,0.002571627,0.001727661],"category_scores_gemma":[0.02200498,0.001440919,0.001685495,0.003945274,0.002624089,0.004306003,0.002837576,0.002649645,0.0004647862],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008814475,"about_ca_system_score_gemma":0.001109183,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003725942,"about_ca_topic_score_gemma":0.003556821,"domain_scores_codex":[0.9984206,0.0005695567,0.0001178599,0.0003145277,0.0004753908,0.0001020913],"domain_scores_gemma":[0.9933605,0.003907276,0.0004665618,0.0009298838,0.001146595,0.0001892425],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003009161,0.00009337491,0.001425854,0.0003414428,0.0001944238,0.0001890665,0.0004927458,0.448388,0.007254099,0.3394073,0.002597598,0.1993152],"study_design_scores_gemma":[0.000008274194,0.00001958908,0.0002073255,0.00001571621,0.00002002893,0.00006772043,0.0000285416,0.925604,0.001538878,0.07120164,0.001266606,0.00002170722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003156926,0.0001710404,0.9962895,0.00004314198,0.00002508155,0.00000659833,0.00002417545,0.0000946315,0.0001887798],"genre_scores_gemma":[0.1365065,0.001362886,0.8586605,0.0001051171,0.0001476743,0.00008627662,0.0003842461,0.0003999725,0.002346766],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005188888,"threshold_uncertainty_score":0.02744174,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2068069132","doi":"10.1016/j.jat.2006.05.006","title":"Biorthogonal polynomials for two-matrix models with semiclassical potentials","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Biorthogonal system; Pairing; Orthogonal polynomials; Discrete orthogonal polynomials; Pure mathematics; Wilson polynomials; Classical orthogonal polynomials; Christoffel symbols; Eigenvalues and eigenvectors; Gegenbauer polynomials; Difference polynomials; Jacobi polynomials","authors":[{"name":"Marco Bertola","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02941427517640315,"gpt":0.3073823109134732,"spread":0.27796803573707,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001478782,0.001291519,0.001824304,0.00242949,0.002242455,0.004354108,0.002517723,0.003576134,0.005486326],"category_scores_gemma":[0.003371329,0.0006448511,0.001326332,0.001599411,0.003650287,0.004493979,0.002266645,0.003117946,0.0009597743],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00159433,"about_ca_system_score_gemma":0.00154047,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001986167,"about_ca_topic_score_gemma":0.001879219,"domain_scores_codex":[0.9992455,0.0002368424,0.00003505621,0.00006100911,0.0002315856,0.000190046],"domain_scores_gemma":[0.9990059,0.0002673366,0.000143517,0.0002069751,0.000117642,0.0002587226],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003527039,0.00002617124,0.00004624261,0.00002232952,0.000005367667,0.00008408977,0.00007607114,0.004476908,0.0007759279,0.9925809,0.0004926734,0.00137802],"study_design_scores_gemma":[0.00002809478,0.0000135324,0.000083303,0.00001032922,0.000004965057,0.0001057741,0.0000696101,0.08206084,0.0002603106,0.9167152,0.0006198271,0.00002809251],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5732132,0.002274593,0.2883976,0.006029824,0.002082476,0.0001707649,0.0003528861,0.001012148,0.1264665],"genre_scores_gemma":[0.9504761,0.0008694389,0.02662846,0.0006811398,0.0006980198,0.0001408511,0.0001953381,0.0002524759,0.02005813],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005486326,"threshold_uncertainty_score":0.01835364,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2002452257","doi":"10.1016/s0021-9045(02)00044-8","title":"Bilinear semiclassical moment functionals and their integral representation","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Concordia University","funders":"","keywords":"Mathematics; Bilinear interpolation; Semiclassical physics; Generalization; Moment (physics); Pure mathematics; Representation (politics); Bilinear form; Mathematical analysis; Applied mathematics; Quantum mechanics","authors":[{"name":"Marco Bertola","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04153574342078668,"gpt":0.314983928995245,"spread":0.2734481855744583,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002442099,0.0009103592,0.001621746,0.003454457,0.001835894,0.003796978,0.00164013,0.002457129,0.008460202],"category_scores_gemma":[0.005935347,0.0006235398,0.001100575,0.001927585,0.003894839,0.007723758,0.002601885,0.003520451,0.0009212076],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00107306,"about_ca_system_score_gemma":0.0007289466,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000429746,"about_ca_topic_score_gemma":0.0003371336,"domain_scores_codex":[0.9991366,0.0002728172,0.00004387767,0.0001028168,0.0002837088,0.0001602352],"domain_scores_gemma":[0.9972083,0.00113376,0.0004599221,0.0004290156,0.0003861595,0.0003828352],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000007757116,0.000008853964,0.00002643227,0.000008556272,0.000002664005,0.00001989973,0.00004805334,0.0004784003,0.0001887122,0.997971,0.0002327415,0.001007056],"study_design_scores_gemma":[0.000004445843,0.000004670936,0.0000490065,0.00000657515,0.000003080468,0.00007545298,0.00002436013,0.01477319,0.0001364644,0.9844192,0.0004922097,0.00001136602],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2830907,0.003125354,0.6119453,0.005400949,0.001101847,0.00006892961,0.0002767096,0.0005589572,0.09443134],"genre_scores_gemma":[0.9415514,0.001562148,0.02959749,0.0007468559,0.00181261,0.00009183869,0.0001711207,0.0002797816,0.02418673],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008460202,"threshold_uncertainty_score":0.02830219,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2023606182","doi":"10.1016/j.jat.2014.11.005","title":"Pointwise approximation with quasi-interpolation by radial basis functions","year":2014,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Numerical methods in engineering","field":"Engineering","cited_by":27,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Pointwise; Mathematics; Radial basis function; Interpolation (computer graphics); Basis (linear algebra); Mathematical analysis; Linear interpolation; Basis function; Function (biology); Applied mathematics; Geometry; Polynomial","authors":[{"name":"Martin Buhmann","is_ca":false},{"name":"Chang‐Feng Dai","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.005697589903712919,"gpt":0.210911109418368,"spread":0.2052135195146551,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003326735,0.001001057,0.001214371,0.0009504129,0.0004392687,0.001556023,0.001778444,0.00198952,0.002306847],"category_scores_gemma":[0.005707688,0.0006288838,0.001050342,0.001074639,0.001172244,0.002123109,0.002145799,0.002504728,0.001234604],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005127105,"about_ca_system_score_gemma":0.0008609355,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001498519,"about_ca_topic_score_gemma":0.001135826,"domain_scores_codex":[0.9985355,0.0008232113,0.00006750593,0.00008853521,0.0004208327,0.00006443427],"domain_scores_gemma":[0.9981706,0.0008730754,0.0001026162,0.0003432852,0.0004359043,0.00007457629],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0004890134,0.0001600505,0.0005331884,0.0004686996,0.00009871295,0.0001388298,0.0001684461,0.3985445,0.0193853,0.4855573,0.003516035,0.09093998],"study_design_scores_gemma":[0.000006969337,0.00002401395,0.00003452338,0.00001053922,0.000006663475,0.00002351306,0.000005795089,0.9846135,0.00154835,0.0125024,0.001212711,0.00001089621],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003397285,0.0001973951,0.9951838,0.00005021824,0.00008846333,0.00001157142,0.00001815459,0.00008341153,0.000969658],"genre_scores_gemma":[0.1547366,0.000768449,0.8378086,0.000104337,0.0001176882,0.0001179621,0.000155988,0.0002693056,0.005921081],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003326735,"threshold_uncertainty_score":0.01759362,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1977571797","doi":"10.1006/jath.2001.3644","title":"Inverse Operators, q-Fractional Integrals, and q-Bernoulli Polynomials","year":2002,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Semigroup; Kernel (algebra); Inverse; Fractional calculus; Orthogonal polynomials; Convolution (computer science); Bernoulli process; Difference polynomials; Classical orthogonal polynomials; Pure mathematics; Askey–Wilson polynomials; Bernoulli polynomials; Operator (biology); Bernoulli's principle; Weight function; Wilson polynomials; Mathematical analysis","authors":[{"name":"Mourad E. H. Ismail","is_ca":false},{"name":"Mizan Rahman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05071380003004045,"gpt":0.2877109227254098,"spread":0.2369971226953694,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002037442,0.0006607894,0.00074886,0.002232842,0.001538306,0.002412804,0.0009003978,0.001729633,0.003683647],"category_scores_gemma":[0.005780573,0.0003159817,0.0007185196,0.001381883,0.003877317,0.004020961,0.001701865,0.002846522,0.0004741939],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001232201,"about_ca_system_score_gemma":0.000838815,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001306208,"about_ca_topic_score_gemma":0.0008396627,"domain_scores_codex":[0.9994159,0.0001845637,0.00002580732,0.00007548181,0.0002036394,0.00009458028],"domain_scores_gemma":[0.9986641,0.0006720524,0.0001756108,0.00009816895,0.0002257194,0.0001643726],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001237913,0.00000864327,0.00005560325,0.000009776601,0.000001632969,0.00002887213,0.0000679779,0.0007440934,0.0003455749,0.9964102,0.0002489057,0.002066392],"study_design_scores_gemma":[0.00000447419,0.000006036951,0.00004558466,0.000006383227,0.000002156628,0.00005833749,0.00003554826,0.008052032,0.0001383935,0.9908158,0.0008293695,0.000005936401],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3411787,0.008363542,0.5073616,0.005728193,0.001517366,0.00004745357,0.0001038713,0.0001851002,0.1355143],"genre_scores_gemma":[0.916512,0.003465938,0.05192807,0.0007466984,0.001093916,0.00005286531,0.00008422272,0.0000759749,0.02604041],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003683647,"threshold_uncertainty_score":0.01232308,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2212367594","doi":"10.1016/j.jat.2015.11.001","title":"The spectral analysis of three families of exceptional Laguerre polynomials","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":25,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Laguerre polynomials; Orthogonal polynomials; Classical orthogonal polynomials; Polynomial; Hermite polynomials; Combinatorics; Sequence (biology); Discrete mathematics; Pure mathematics; Mathematical analysis","authors":[{"name":"Constanze Liaw","is_ca":false},{"name":"Lance L. Littlejohn","is_ca":false},{"name":"Robert Milson","is_ca":true},{"name":"Jessica Stewart","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02080707484561586,"gpt":0.260197561052453,"spread":0.2393904862068371,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001427458,0.0007882036,0.0007077884,0.00295235,0.002169832,0.003073445,0.001418546,0.001446504,0.003683437],"category_scores_gemma":[0.004241239,0.000385948,0.000877661,0.001129586,0.004544056,0.00213755,0.001403798,0.00132139,0.000349096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001189823,"about_ca_system_score_gemma":0.0007502299,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007240891,"about_ca_topic_score_gemma":0.0006165219,"domain_scores_codex":[0.9993573,0.0001648414,0.00002743767,0.00007177424,0.0001741634,0.0002045278],"domain_scores_gemma":[0.9974921,0.0008571118,0.0003904199,0.0002314995,0.000402777,0.0006261447],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005893578,0.00003015593,0.0007498806,0.00002173198,0.000007788739,0.0002779956,0.0003651346,0.002079415,0.001406571,0.9923421,0.0003213627,0.002339003],"study_design_scores_gemma":[0.00003954746,0.00005418498,0.001728459,0.00003823546,0.00002145964,0.0008898777,0.0005586963,0.06199364,0.001712662,0.9309734,0.001928074,0.00006190911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8989919,0.0004123616,0.06669264,0.0007445487,0.0001414392,0.00002703895,0.00007918895,0.0001504962,0.03276032],"genre_scores_gemma":[0.9932903,0.0001186959,0.003601427,0.00005853469,0.00007375636,0.00001432723,0.00005162713,0.00003379229,0.002757489],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003683437,"threshold_uncertainty_score":0.01232237,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2032501875","doi":"10.1016/j.jat.2011.05.001","title":"Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball","year":2011,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":23,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Unit sphere; Sobolev space; Continuation; Ball (mathematics); Mathematical analysis; Polynomial; Approximation theory; Pure mathematics","authors":[{"name":"Chang‐Feng Dai","is_ca":true},{"name":"Yuan Xu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07894267884593487,"gpt":0.285970843939676,"spread":0.2070281650937411,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004534282,0.001542931,0.00194102,0.003148926,0.0008561821,0.003393918,0.001895124,0.001676866,0.002411867],"category_scores_gemma":[0.02212833,0.0006200387,0.001133645,0.002132037,0.00382048,0.005852654,0.003960342,0.003918019,0.0004584154],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002421187,"about_ca_system_score_gemma":0.001377464,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.006940035,"about_ca_topic_score_gemma":0.003047089,"domain_scores_codex":[0.9971431,0.001486992,0.0001362738,0.0002727032,0.0006937728,0.0002672705],"domain_scores_gemma":[0.9877219,0.007509348,0.001090824,0.000616947,0.001986473,0.001074639],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000879395,0.00002031987,0.0003834397,0.000111863,0.00002745401,0.00006161714,0.0001674094,0.01686567,0.0006930692,0.9749272,0.0008468701,0.005807158],"study_design_scores_gemma":[0.0000170312,0.00003345051,0.0004513944,0.00003148071,0.00001948575,0.00007132618,0.00009395,0.3398323,0.0003148376,0.656827,0.002288781,0.00001905202],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1020197,0.006718951,0.8672879,0.003005957,0.0004310418,0.00005517855,0.0002688889,0.000181594,0.02003078],"genre_scores_gemma":[0.8624953,0.007424498,0.1067411,0.0003627014,0.001200257,0.0001201478,0.00057441,0.0003067517,0.02077479],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006940035,"threshold_uncertainty_score":0.0239799,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2012081515","doi":"10.1016/j.jat.2006.07.006","title":"Nonuniform wavelets and wavelet sets related to one-dimensional spectral pairs","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Wavelet; Generalization; Dilation (metric space); Multiresolution analysis; Translation (biology); Integer (computer science); Spectral analysis; Pure mathematics; Mathematical analysis; Discrete mathematics; Discrete wavelet transform; Combinatorics; Wavelet transform; Artificial intelligence; Computer science","authors":[{"name":"Xiaojiang Yu","is_ca":false},{"name":"Jean‐Pierre Gabardo","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0236110468070479,"gpt":0.2982860446287599,"spread":0.274674997821712,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002258791,0.000932107,0.001342619,0.003650485,0.001213082,0.003976768,0.001412007,0.001601976,0.003172521],"category_scores_gemma":[0.01037836,0.0005346814,0.0007421216,0.002614114,0.004275522,0.005171866,0.002436784,0.002489676,0.0003903429],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000964588,"about_ca_system_score_gemma":0.0004706624,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003357414,"about_ca_topic_score_gemma":0.0002053778,"domain_scores_codex":[0.9991311,0.0002949751,0.00006026424,0.0001894633,0.0002303718,0.00009387452],"domain_scores_gemma":[0.9954056,0.002104904,0.000964349,0.0004649406,0.0005977275,0.0004625596],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003449136,0.00001135329,0.0002201125,0.00002344423,0.000007216411,0.00005175826,0.000139024,0.002204765,0.001101778,0.9923604,0.0002276738,0.003617909],"study_design_scores_gemma":[0.00001121277,0.00002656731,0.0003737263,0.00001478048,0.00001119223,0.0001322296,0.000141914,0.03997914,0.0005086893,0.9577783,0.001002892,0.00001937861],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3578752,0.002762592,0.6146781,0.001362512,0.0006751535,0.00006572488,0.0002210654,0.0001340536,0.02222566],"genre_scores_gemma":[0.9212497,0.002367629,0.06825338,0.000245482,0.0007009878,0.0001269985,0.0002649761,0.00009383693,0.006696946],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003976768,"threshold_uncertainty_score":0.01194578,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020710522","doi":"10.1006/jath.2000.3483","title":"On Quasi-Chebyshev Subspaces of Banach Spaces","year":2000,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Linear subspace; Chebyshev filter; Banach space; Subspace topology; Characterization (materials science); Pure mathematics; Approximation property; Discrete mathematics; Mathematical analysis; Physics","authors":[{"name":"H. Mohebi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02024660619419333,"gpt":0.298093548275474,"spread":0.2778469420812806,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004970254,0.001474072,0.001248855,0.002591248,0.001527377,0.003415154,0.001317696,0.001189847,0.004257018],"category_scores_gemma":[0.008417633,0.0007655031,0.001149298,0.002191955,0.004601762,0.006354673,0.003266013,0.00426632,0.000521934],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001928509,"about_ca_system_score_gemma":0.00110278,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002018687,"about_ca_topic_score_gemma":0.001411002,"domain_scores_codex":[0.9977899,0.001142223,0.0001095192,0.0001882927,0.0005225068,0.0002475127],"domain_scores_gemma":[0.9926891,0.004693598,0.000546626,0.0004484902,0.0009554478,0.0006667665],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005141388,0.00001465404,0.0001896531,0.00003263038,0.00001242475,0.00002690843,0.0001588146,0.002906857,0.0008670285,0.9923659,0.0003038122,0.003069849],"study_design_scores_gemma":[0.00001225393,0.00003424221,0.0002542212,0.00001975809,0.000008930401,0.00006140394,0.00008451663,0.03493387,0.0003570309,0.9629946,0.001226912,0.000012355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2789791,0.005142423,0.6668049,0.002109551,0.0005406347,0.00005639601,0.0003226535,0.0001506016,0.04589373],"genre_scores_gemma":[0.8908476,0.005037447,0.07917284,0.0005673124,0.0008288851,0.0001227877,0.0004029828,0.0001627419,0.02285741],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004970254,"threshold_uncertainty_score":0.02628553,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2034659205","doi":"10.1016/j.jat.2008.10.010","title":"Regularity of a vector potential problem and its spectral curve","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":18,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Biorthogonal system; Real line; Zero (linguistics); Algebraic number; Matrix (chemical analysis); Line (geometry); Applied mathematics; Mathematical analysis; Pure mathematics; Geometry","authors":[{"name":"Ferenc Balogh","is_ca":true},{"name":"Marco Bertola","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03407341912659999,"gpt":0.2835730414614507,"spread":0.2494996223348507,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002841673,0.001081316,0.001494797,0.004096835,0.002100041,0.00432322,0.002516723,0.003230357,0.007352432],"category_scores_gemma":[0.01921367,0.0008653405,0.001122848,0.001860921,0.005328191,0.008757375,0.004823694,0.0039812,0.0006394065],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00215561,"about_ca_system_score_gemma":0.001222861,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001679925,"about_ca_topic_score_gemma":0.0008023076,"domain_scores_codex":[0.9988872,0.0004418175,0.00006312423,0.0001741869,0.0002718381,0.0001617872],"domain_scores_gemma":[0.9925599,0.004319024,0.0007548228,0.0002838777,0.0008787267,0.001203623],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006143113,0.00003443382,0.0003069264,0.00004247244,0.00001071173,0.00008276283,0.0001899877,0.003401803,0.000575672,0.9919862,0.001063492,0.002244134],"study_design_scores_gemma":[0.00002418223,0.00002673705,0.0002449786,0.00002297791,0.00000776085,0.0001241768,0.0001344052,0.05165327,0.0002190696,0.9461057,0.001415828,0.00002094892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5872821,0.002438399,0.2985527,0.0157507,0.0005837228,0.0001528732,0.0006660649,0.0003152681,0.09425823],"genre_scores_gemma":[0.9434036,0.001234319,0.0265734,0.0005335612,0.000664391,0.000133051,0.000502917,0.0002644369,0.0266903],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007352432,"threshold_uncertainty_score":0.02459639,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1972106510","doi":"10.1016/j.jat.2005.11.013","title":"Approximation on Banach spaces of functions on the sphere","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Banach space; Interpolation space; Banach manifold; Eberlein–Šmulian theorem; Approximation property; Mathematical analysis; Pure mathematics; Lp space; Functional analysis","authors":[{"name":"Z. Ditzian","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03040204565059841,"gpt":0.2711616397071943,"spread":0.2407595940565958,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003511482,0.001269424,0.001649474,0.002468374,0.0008551189,0.004275287,0.001329239,0.00125742,0.002785635],"category_scores_gemma":[0.009695571,0.0004791665,0.001248432,0.001769936,0.003223127,0.005525899,0.003021419,0.002859441,0.0005451766],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002163238,"about_ca_system_score_gemma":0.001075435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002104594,"about_ca_topic_score_gemma":0.0008984332,"domain_scores_codex":[0.9969897,0.001457083,0.0001595554,0.0002671428,0.0009276323,0.0001988685],"domain_scores_gemma":[0.9943663,0.003044814,0.0005316822,0.0004242096,0.001033601,0.0005994725],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006849922,0.00001607662,0.0002226655,0.00004970248,0.00002929514,0.00003766338,0.0001288194,0.009228471,0.000999786,0.9837406,0.000504474,0.004974006],"study_design_scores_gemma":[0.00001605367,0.00005053826,0.0002773062,0.00001922166,0.00001449769,0.00009791297,0.00009278422,0.125417,0.0005040196,0.8715591,0.001937236,0.00001442361],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1534271,0.005532248,0.810789,0.00255929,0.000504495,0.00004587292,0.0002323819,0.0002227513,0.0266869],"genre_scores_gemma":[0.887235,0.004462976,0.08982031,0.0002898232,0.0007664678,0.00009388637,0.0004758335,0.0001507626,0.0167048],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004275287,"threshold_uncertainty_score":0.01857072,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2072840624","doi":"10.1016/j.jat.2012.05.004","title":"Relating smoothness to expressions involving Fourier coefficients or to a Fourier transform","year":2012,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Smoothness; Mathematical analysis; Fourier transform; Fourier inversion theorem; Fourier series; Pure mathematics; Trigonometric polynomial; Function (biology); Trigonometry; Fractional Fourier transform; Fourier analysis","authors":[{"name":"Z. Ditzian","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0693644579259971,"gpt":0.3452382099572257,"spread":0.2758737520312286,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005122322,0.001564466,0.001177341,0.0044214,0.00144494,0.004097166,0.002080372,0.002980069,0.004872161],"category_scores_gemma":[0.03152147,0.0007247698,0.001401373,0.002588931,0.008044602,0.01406802,0.004358635,0.006587718,0.0008667434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001113517,"about_ca_system_score_gemma":0.0007689946,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009512401,"about_ca_topic_score_gemma":0.000436464,"domain_scores_codex":[0.9977149,0.0009371925,0.0001711822,0.0003875239,0.000567514,0.000221715],"domain_scores_gemma":[0.9871655,0.007577988,0.001795368,0.001712335,0.001097252,0.000651672],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003564752,0.00001623887,0.0002363527,0.00004795892,0.000008719238,0.00006762647,0.0001895058,0.001294938,0.001409351,0.989976,0.0006394513,0.006078198],"study_design_scores_gemma":[0.000006470491,0.0000220216,0.0003272032,0.00002175157,0.00001611664,0.0001176996,0.0000948033,0.01550777,0.0006897331,0.9812701,0.001902854,0.00002358192],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1303576,0.002631846,0.8175712,0.00543149,0.001312568,0.00008514968,0.0002558876,0.0003838017,0.04197047],"genre_scores_gemma":[0.7798205,0.005197395,0.1807048,0.001489558,0.003382812,0.0001380725,0.0003913597,0.001224654,0.02765093],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005122322,"threshold_uncertainty_score":0.02708972,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1990057087","doi":"10.1016/j.jat.2013.11.013","title":"Common and interlacing zeros of families of Laguerre polynomials","year":2013,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"York University","funders":"National Kidney Foundation of South Africa; National Research Foundation","keywords":"Interlacing; Mathematics; Laguerre polynomials; Interval (graph theory); Combinatorics; Zero (linguistics); Integer (computer science); Discrete mathematics; Orthogonal polynomials; Pure mathematics","authors":[{"name":"Kathy Driver","is_ca":false},{"name":"Martin E. Muldoon","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02487347047517668,"gpt":0.2855014896918841,"spread":0.2606280192167074,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002014196,0.000974299,0.0009408564,0.003275315,0.002126008,0.002727827,0.001484941,0.001031583,0.00427275],"category_scores_gemma":[0.01159866,0.0006760061,0.001036439,0.001488908,0.003190174,0.003286102,0.001910333,0.001698373,0.0005305697],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001381263,"about_ca_system_score_gemma":0.0006851628,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008636786,"about_ca_topic_score_gemma":0.0006758055,"domain_scores_codex":[0.998844,0.0002816577,0.00006056815,0.0002014106,0.0003156535,0.000296638],"domain_scores_gemma":[0.9941797,0.002161798,0.001130266,0.0007372684,0.0009995523,0.0007914345],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000580358,0.0001096378,0.002763503,0.0001051126,0.00006465769,0.0008536236,0.001622393,0.008345352,0.0104867,0.9591973,0.001171643,0.01469972],"study_design_scores_gemma":[0.000120349,0.0002877297,0.003203284,0.000128008,0.00008785375,0.001758989,0.001312912,0.09548464,0.008989538,0.8828177,0.005660814,0.0001481442],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8105184,0.0005478258,0.1700228,0.0002531161,0.0001575686,0.00003629539,0.0001095012,0.0002501734,0.0181043],"genre_scores_gemma":[0.9855694,0.0002336945,0.00979398,0.00004436919,0.00008466873,0.00003402523,0.00009200859,0.00009726945,0.004050545],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00427275,"threshold_uncertainty_score":0.01429379,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2074680246","doi":"10.1016/j.jat.2009.11.003","title":"Smoothness of a function and the growth of its Fourier transform or its Fourier coefficients","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Smoothness; Mathematics; Fourier transform; Fourier series; Moduli; Mathematical analysis; Trigonometry; Corollary; Trigonometric functions; Function (biology); Harmonic; Pure mathematics; Geometry","authors":[{"name":"Z. Ditzian","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03657844571253374,"gpt":0.3261143770063955,"spread":0.2895359312938618,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003608093,0.0008889205,0.0009196685,0.003171766,0.0007413067,0.00284049,0.001575693,0.002367818,0.003850186],"category_scores_gemma":[0.04555409,0.0008509593,0.000922011,0.001753408,0.005105287,0.007833925,0.002607635,0.004077913,0.0007199973],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000928925,"about_ca_system_score_gemma":0.0007639065,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001487761,"about_ca_topic_score_gemma":0.0006154804,"domain_scores_codex":[0.9989975,0.0002689207,0.00005986012,0.0001831241,0.0003387879,0.0001516965],"domain_scores_gemma":[0.962065,0.02882181,0.002840487,0.001814274,0.002692051,0.001766393],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0007051229,0.0001550498,0.01190795,0.0004606526,0.00007246157,0.0006980325,0.0009998319,0.05595775,0.02908838,0.8458652,0.003588864,0.05050058],"study_design_scores_gemma":[0.00005491028,0.0001970552,0.01497876,0.0001215992,0.00009225353,0.001276222,0.0005871257,0.3925562,0.007978637,0.5759897,0.005994956,0.0001724629],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6019177,0.003967886,0.3677728,0.003958608,0.0004451098,0.00006215293,0.0006832765,0.0004350939,0.02075724],"genre_scores_gemma":[0.9472609,0.003367091,0.03579569,0.0002002003,0.0006155992,0.00008307086,0.000606186,0.0003819973,0.01168922],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003850186,"threshold_uncertainty_score":0.01908165,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2083925726","doi":"10.1016/j.jat.2009.03.005","title":"On covering numbers of sublevel sets of analytic functions","year":2009,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Analytic function; Fractal; Pure mathematics; Mathematical analysis; Applied mathematics","authors":[{"name":"Alexander Brudnyi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0295307332793225,"gpt":0.3113000248687476,"spread":0.2817692915894251,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003298634,0.001241964,0.001883886,0.00565382,0.002554069,0.005857802,0.001744513,0.001607568,0.005553137],"category_scores_gemma":[0.01881855,0.0009062146,0.001315625,0.002717334,0.005404416,0.007764481,0.004021223,0.002785293,0.0004480879],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002704632,"about_ca_system_score_gemma":0.0005445742,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00131132,"about_ca_topic_score_gemma":0.0007544406,"domain_scores_codex":[0.9986426,0.0004065346,0.00008939642,0.0002081425,0.0003525923,0.0003006556],"domain_scores_gemma":[0.9849149,0.01057435,0.001048519,0.0008289879,0.0008301209,0.00180312],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007457339,0.00001889353,0.001030762,0.00004110388,0.00001686108,0.00009999875,0.0004388647,0.00291538,0.0008958254,0.9902981,0.0005224075,0.003647324],"study_design_scores_gemma":[0.00001753962,0.00003102052,0.001547418,0.00004817799,0.00002348055,0.0001889256,0.0002514416,0.0313857,0.0005389765,0.9643795,0.001562826,0.00002490944],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.824131,0.002733849,0.1303487,0.001386834,0.0003308596,0.00005716062,0.0002965769,0.0002413039,0.04047373],"genre_scores_gemma":[0.9767283,0.001098869,0.01690795,0.0001795351,0.0003155558,0.00007008229,0.0002814271,0.000113038,0.004305257],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005857802,"threshold_uncertainty_score":0.01962358,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2168287380","doi":"10.1016/j.jat.2008.08.015","title":"Bregman distances and Klee sets","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Victoria; Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Mathematics; Singleton; Euclidean space; Euclidean geometry; Mathematical proof; Regular polygon; Monotone polygon; Convex set; Convex hull; Euclidean distance; Complement (music); Norm (philosophy); Perspective (graphical); Combinatorics; Convex optimization; Geometry","authors":[{"name":"Heinz H. Bauschke","is_ca":true},{"name":"Xianfu Wang","is_ca":true},{"name":"Jane J. Ye","is_ca":true},{"name":"Xiaoming Yuan","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05705884265770995,"gpt":0.3071621956500924,"spread":0.2501033529923825,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004358625,0.0009137057,0.002156066,0.005461794,0.003785235,0.005973049,0.002623162,0.00318262,0.00759542],"category_scores_gemma":[0.0205353,0.0008395563,0.001525392,0.005439172,0.007795346,0.01603723,0.005587389,0.009070192,0.0006949069],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003881433,"about_ca_system_score_gemma":0.001165359,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002574563,"about_ca_topic_score_gemma":0.002254157,"domain_scores_codex":[0.9970834,0.001022729,0.0001695643,0.0005044009,0.0009096715,0.0003102312],"domain_scores_gemma":[0.9880795,0.008286601,0.0009926625,0.0008508419,0.001080139,0.0007102964],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001150768,0.000004615323,0.00008985521,0.00001124697,0.000005448417,0.00001345302,0.00008446391,0.0007697192,0.00006194487,0.9973965,0.0002095502,0.001341784],"study_design_scores_gemma":[0.000004308913,0.000005275861,0.0001085465,0.000006487663,0.000003971476,0.00002272436,0.00005601889,0.003206765,0.00004987838,0.9955734,0.0009556682,0.000007110574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3463023,0.008648974,0.5304272,0.01463011,0.0005968142,0.00007819866,0.0005418887,0.000168192,0.09860624],"genre_scores_gemma":[0.8887661,0.003349084,0.07958278,0.0009442292,0.0005169421,0.0001416213,0.0004358265,0.00008523345,0.02617809],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00759542,"threshold_uncertainty_score":0.02816194,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1986947121","doi":"10.1006/jath.2000.3462","title":"Common Zeros of Two Polynomials in an Orthogonal Sequence","year":2000,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Sequence (biology); Combinatorics; Orthogonal polynomials; Zero (linguistics); Degree (music); Discrete mathematics; Physics","authors":[{"name":"Peter C. Gibson","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0658686173842937,"gpt":0.3634032532574999,"spread":0.2975346358732063,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001397205,0.001366135,0.0008256446,0.002690726,0.001164931,0.002565483,0.00118851,0.001669639,0.004805685],"category_scores_gemma":[0.00832745,0.000554956,0.0009076029,0.001938715,0.003047933,0.002983413,0.002896968,0.002234856,0.0008662344],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00101614,"about_ca_system_score_gemma":0.000780424,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007046671,"about_ca_topic_score_gemma":0.0004626968,"domain_scores_codex":[0.9985687,0.0003703966,0.00007975576,0.0002250143,0.0004716474,0.000284539],"domain_scores_gemma":[0.9957295,0.001671387,0.0007338166,0.0003367423,0.000858706,0.0006698185],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0006559299,0.0001420995,0.001261001,0.0001093524,0.00005610736,0.0009882507,0.0009638199,0.005508407,0.02593433,0.9433334,0.0009065664,0.02014078],"study_design_scores_gemma":[0.0002249688,0.0005334916,0.002412174,0.0001648477,0.00009404929,0.00217072,0.00120937,0.1091295,0.02534984,0.850383,0.00811768,0.0002104025],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6987691,0.0003096698,0.281566,0.0004312208,0.000387414,0.00009177964,0.0001811487,0.0001437276,0.01811998],"genre_scores_gemma":[0.9509354,0.0002720257,0.03812603,0.00009510594,0.0001407109,0.00008302957,0.0002056103,0.0001020183,0.01004014],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004805685,"threshold_uncertainty_score":0.01607662,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2003758148","doi":"10.1016/j.jat.2005.07.010","title":"Convergence rates of vector cascade algorithms in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>","year":2005,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":12,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"University of Alberta","keywords":"Mathematics; Algorithm; Sobolev space; Convergence (economics); Subdivision; Combinatorics; Discrete mathematics; Mathematical analysis","authors":[{"name":"Song Li","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01424848800330087,"gpt":0.2494586004784425,"spread":0.2352101124751416,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00708432,0.001519858,0.001043858,0.001596818,0.001492238,0.002376585,0.001955533,0.00210483,0.01566708],"category_scores_gemma":[0.03176665,0.0007224923,0.001296438,0.001027565,0.002271399,0.004368759,0.003016251,0.003631308,0.002702042],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002483687,"about_ca_system_score_gemma":0.002977786,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.008255252,"about_ca_topic_score_gemma":0.007230771,"domain_scores_codex":[0.9981529,0.0006663487,0.00009687242,0.0002617123,0.0005627349,0.0002594555],"domain_scores_gemma":[0.9823347,0.0124377,0.0007589803,0.001114802,0.002653729,0.0007002145],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0009651466,0.000178947,0.003735001,0.0007429835,0.0001914836,0.0001550175,0.0005020776,0.4301755,0.005223224,0.4177606,0.0308284,0.1095416],"study_design_scores_gemma":[0.00003226813,0.00005898061,0.0003407663,0.00007602908,0.00002884253,0.00004885553,0.00005191056,0.9526114,0.002143994,0.0427825,0.001803706,0.00002080189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05409727,0.003994209,0.8915071,0.002553302,0.0005724838,0.000264863,0.0004366373,0.001271911,0.04530212],"genre_scores_gemma":[0.6990625,0.002933492,0.2518802,0.0006679549,0.0003260822,0.0007949915,0.001305748,0.001339505,0.04168956],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01566708,"threshold_uncertainty_score":0.05241162,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2083624411","doi":"10.1016/j.jat.2008.02.002","title":"Pseudometrics, distances and multivariate polynomial inequalities","year":2008,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Multivariate statistics; Inequality; Polynomial; Pure mathematics; Applied mathematics; Mathematical analysis; Statistics","authors":[{"name":"Len Bos","is_ca":true},{"name":"N. Levenberg","is_ca":false},{"name":"Shayne Waldron","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07555920322597547,"gpt":0.3136334230890599,"spread":0.2380742198630844,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004135516,0.0009759886,0.001167869,0.002687895,0.001351316,0.004106402,0.00144525,0.001711262,0.003481088],"category_scores_gemma":[0.01965333,0.0005526448,0.0009109062,0.00442326,0.004809985,0.0101227,0.003158614,0.006323421,0.0004389499],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001708626,"about_ca_system_score_gemma":0.0008589899,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001080817,"about_ca_topic_score_gemma":0.0008290617,"domain_scores_codex":[0.9970223,0.001582646,0.0001399349,0.0003662118,0.0007410706,0.0001478316],"domain_scores_gemma":[0.9875349,0.009060322,0.001249637,0.0006832574,0.0009611858,0.0005107403],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004454231,0.00001326368,0.0002813679,0.00005685418,0.00001626377,0.00002494992,0.00009077053,0.002735466,0.0002541705,0.9862093,0.001107977,0.009164995],"study_design_scores_gemma":[0.0000102743,0.00001961656,0.0002021168,0.00001229745,0.000009979317,0.00006007536,0.00004201811,0.01519225,0.00009139272,0.9821013,0.002249124,0.000009582118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1107756,0.02095995,0.8213419,0.01047752,0.001258251,0.00003680537,0.000420314,0.0001180496,0.03461155],"genre_scores_gemma":[0.8412693,0.01499047,0.1224628,0.001636599,0.004154885,0.000180301,0.0006547367,0.0001049938,0.01454599],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004135516,"threshold_uncertainty_score":0.02187097,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1913730642","doi":"10.1016/j.jat.2015.05.003","title":"Polynomial approximation with doubling weights having finitely many zeros and singularities","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Gravitational singularity; Polynomial; Pure mathematics; Finitely-generated abelian group; Mathematical analysis","authors":[{"name":"Kirill A. Kopotun","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06297146987355659,"gpt":0.290755596549118,"spread":0.2277841266755614,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001702516,0.002096283,0.001823465,0.00320543,0.002071507,0.0044327,0.002247918,0.002134622,0.005230471],"category_scores_gemma":[0.01483489,0.0008297588,0.001237992,0.002123294,0.004299876,0.005957578,0.005265348,0.005048922,0.001418028],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001898629,"about_ca_system_score_gemma":0.0006998688,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006918174,"about_ca_topic_score_gemma":0.0004237658,"domain_scores_codex":[0.9987202,0.0003323759,0.00006729034,0.0002152322,0.000432157,0.0002327517],"domain_scores_gemma":[0.9964323,0.00159965,0.0004440196,0.0004348212,0.0004876087,0.0006015688],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001733293,0.000050789,0.0005460675,0.00006321318,0.00002437761,0.000330891,0.0002231375,0.002103866,0.002239991,0.9837775,0.001092752,0.009374145],"study_design_scores_gemma":[0.00004130504,0.00005198823,0.0003187859,0.00003712998,0.00003473625,0.0005295702,0.0001225829,0.0246591,0.002034384,0.9699345,0.002192908,0.00004305888],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5426307,0.002026868,0.3556661,0.00299678,0.001176859,0.00008400292,0.0003174527,0.0007603408,0.09434078],"genre_scores_gemma":[0.9503314,0.0007491609,0.02607814,0.0002680355,0.0005148672,0.0000502758,0.0001906494,0.0002579248,0.02155943],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005230471,"threshold_uncertainty_score":0.0174976,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2101166422","doi":"10.1016/s0021-9045(02)00040-0","title":"Duality for Bregman projections onto translated cones and affine subspaces","year":2003,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Guelph","funders":"","keywords":"Mathematics; Linear subspace; Duality (order theory); Affine transformation; Pure mathematics; Bregman divergence; Combinatorics; Geometry","authors":[{"name":"Heinz H. Bauschke","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09284524807894144,"gpt":0.3655512739416614,"spread":0.27270602586272,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0028996,0.001277418,0.001350712,0.002533945,0.002194761,0.005513302,0.001579456,0.001477932,0.006929996],"category_scores_gemma":[0.007431176,0.000780511,0.001861484,0.002570935,0.003799176,0.009836189,0.003723422,0.005870941,0.0006731754],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002359764,"about_ca_system_score_gemma":0.001571072,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002372127,"about_ca_topic_score_gemma":0.001682025,"domain_scores_codex":[0.9985954,0.0004803022,0.00007227645,0.0002476879,0.0003925428,0.000211705],"domain_scores_gemma":[0.9972609,0.001164989,0.0003992407,0.0001884697,0.0005918901,0.0003945021],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002233871,0.00001264341,0.00004969041,0.00001414495,0.000006054825,0.00001927342,0.00009055767,0.001141963,0.0001691267,0.9963931,0.0003239688,0.001757217],"study_design_scores_gemma":[0.00001034825,0.00001929535,0.00007795345,0.0000106749,0.000005032239,0.00003210955,0.00009597623,0.01328302,0.0001685669,0.9851761,0.001112188,0.00000887093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1747254,0.001991085,0.7462339,0.003076589,0.0004725712,0.0001007969,0.0004221981,0.0001907637,0.07278676],"genre_scores_gemma":[0.831835,0.002459035,0.126163,0.000974728,0.0005676249,0.0003037293,0.0007283331,0.0002225518,0.03674594],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006929996,"threshold_uncertainty_score":0.02318317,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3194044455","doi":"10.1016/j.jat.2022.105717","title":"Nonlinear steepest descent approach to orthogonality on elliptic curves","year":2022,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Orthogonality; Method of steepest descent; Mathematical analysis; Gradient descent; Riemann hypothesis; Riemann surface; Kernel (algebra); Pure mathematics; Geometry","authors":[{"name":"Marco Bertola","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06039721466700742,"gpt":0.3108615634095375,"spread":0.2504643487425301,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001364163,0.0008613864,0.001069702,0.001607024,0.0008039763,0.001825285,0.001270212,0.001215858,0.00305519],"category_scores_gemma":[0.005535178,0.0005693191,0.0006933173,0.0009528193,0.002086899,0.002396859,0.002522212,0.002475366,0.0004334708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001241163,"about_ca_system_score_gemma":0.001127598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003788132,"about_ca_topic_score_gemma":0.002713135,"domain_scores_codex":[0.9995415,0.0001985538,0.00001569518,0.00004258,0.0001501688,0.0000515272],"domain_scores_gemma":[0.9984828,0.0007458773,0.0001088286,0.0001058754,0.0003933428,0.0001633486],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000347788,0.00003598238,0.000343863,0.000048075,0.00002308919,0.00005200462,0.0000790748,0.0787737,0.0009277075,0.9055552,0.001218653,0.01290788],"study_design_scores_gemma":[0.000009251731,0.00001666355,0.00008993691,0.0000114035,0.000005622628,0.00002862438,0.0000224616,0.6854737,0.0003054758,0.3128074,0.001219077,0.00001032168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07261872,0.0005787262,0.9056093,0.001113602,0.0002134536,0.00004436298,0.000083477,0.0001051412,0.0196332],"genre_scores_gemma":[0.7115158,0.00177641,0.2273545,0.0003983075,0.0005165081,0.0001309917,0.0002073675,0.0003157556,0.05778445],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003788132,"threshold_uncertainty_score":0.01022059,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3071135787","doi":"10.1016/j.jat.2020.105472","title":"Recovery guarantees for polynomial coefficients from weakly dependent data with outliers","year":2020,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo; Dalhousie University","funders":"Air Force Office of Scientific Research; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Concentration inequality; Mixing (physics); Outlier; Ergodic theory; Applied mathematics; Markov chain; Sampling (signal processing); Matrix (chemical analysis); Polynomial; Function space; Algorithm; Mathematical optimization; Computer science; Discrete mathematics; Mathematical analysis; Statistics; Filter (signal processing)","authors":[{"name":"Lam Si Tung Ho","is_ca":true},{"name":"Hayden Schaeffer","is_ca":false},{"name":"Giang Tran","is_ca":true},{"name":"Rachel Ward","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02863703648723597,"gpt":0.2358758877817927,"spread":0.2072388512945567,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003511836,0.001843333,0.001845786,0.001184939,0.0006613586,0.001746859,0.00218495,0.002198834,0.002320774],"category_scores_gemma":[0.03742428,0.001027073,0.0007742912,0.00210165,0.00257676,0.004417908,0.004903346,0.005028679,0.000741732],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001247388,"about_ca_system_score_gemma":0.001689559,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003192894,"about_ca_topic_score_gemma":0.002538752,"domain_scores_codex":[0.9974485,0.0006223959,0.0001182715,0.0003520109,0.001168719,0.0002899969],"domain_scores_gemma":[0.9709383,0.02292683,0.001472306,0.002256237,0.00183142,0.0005748623],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00116055,0.0001399251,0.001486433,0.0006148941,0.0001261033,0.0005994816,0.0004507972,0.6954557,0.01795704,0.1799774,0.008610495,0.09342127],"study_design_scores_gemma":[0.00002625661,0.00003900359,0.0001342608,0.00001757961,0.000008585357,0.00007314889,0.00004162917,0.9420782,0.001715719,0.05539064,0.0004636029,0.00001141631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02049555,0.0003575259,0.9766831,0.000668799,0.00004330823,0.00002356932,0.0002265094,0.0001713771,0.00133035],"genre_scores_gemma":[0.7417641,0.001940838,0.2480924,0.0003577943,0.0004834163,0.0001815173,0.001412547,0.0003284961,0.005438853],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003511836,"threshold_uncertainty_score":0.01857257,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1593919095","doi":"10.1016/j.jat.2015.08.008","title":"On linear independence of integer shifts of compactly supported distributions","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Image and Signal Denoising Methods","field":"Computer Science","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Integer (computer science); Independence (probability theory); Simple (philosophy); Discrete mathematics; Statistics","authors":[{"name":"Bin Han","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03742725484500291,"gpt":0.31100560867614,"spread":0.273578353831137,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007264281,0.001895161,0.002300678,0.002432883,0.00105945,0.002588618,0.003206015,0.00194685,0.005836283],"category_scores_gemma":[0.0371714,0.001739823,0.001668624,0.00188794,0.006845101,0.007243992,0.005168501,0.005994832,0.0008047479],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001295775,"about_ca_system_score_gemma":0.001070315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001637045,"about_ca_topic_score_gemma":0.001548184,"domain_scores_codex":[0.9962804,0.001309599,0.0001826448,0.0007194189,0.001010854,0.0004971761],"domain_scores_gemma":[0.9362059,0.05160781,0.003898312,0.003079481,0.002888937,0.002319483],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000909152,0.0001953593,0.003666978,0.0002846651,0.0001602745,0.000545226,0.0007575342,0.04956104,0.006787802,0.9133805,0.002946976,0.02080451],"study_design_scores_gemma":[0.00008808168,0.00009357995,0.001998363,0.00004681839,0.00005749695,0.0002645584,0.0001846642,0.3144799,0.001991977,0.6798084,0.0009181132,0.00006794803],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1766835,0.0009368898,0.8093031,0.001382993,0.000174559,0.00006515154,0.0003550802,0.0002068544,0.0108918],"genre_scores_gemma":[0.9131634,0.00215912,0.06334107,0.0009996112,0.001000088,0.0002235858,0.001363794,0.0004223656,0.01732698],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007264281,"threshold_uncertainty_score":0.0384177,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2049079538","doi":"10.1016/j.jat.2015.02.007","title":"Near oracle performance and block analysis of signal space greedy methods","year":2015,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Air Force Office of Scientific Research; Azrieli Foundation; Simons Foundation","keywords":"Orthonormal basis; Compressed sensing; Block (permutation group theory); Oracle; Algorithm; Mathematics; Additive white Gaussian noise; SIGNAL (programming language); Greedy algorithm; Space (punctuation); Basis (linear algebra); Gaussian; Noise (video); Computer science; White noise; Artificial intelligence; Combinatorics; Statistics","authors":[{"name":"Raja Giryes","is_ca":false},{"name":"Deanna Needell","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02407761480701673,"gpt":0.2808118933087718,"spread":0.256734278501755,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009044945,0.001757849,0.001904696,0.001457514,0.0006500101,0.002153324,0.002060158,0.002307942,0.007843188],"category_scores_gemma":[0.04976846,0.0009492193,0.0006400583,0.001785406,0.002746055,0.005487616,0.003517523,0.002699096,0.001291316],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001563133,"about_ca_system_score_gemma":0.002580843,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001864558,"about_ca_topic_score_gemma":0.001640058,"domain_scores_codex":[0.9949103,0.002898001,0.0001313266,0.000325199,0.001280779,0.0004544771],"domain_scores_gemma":[0.9579208,0.0364602,0.0009907711,0.002130944,0.001954984,0.0005423079],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00151946,0.0002012845,0.001414648,0.000374006,0.0001025847,0.0001178054,0.0001989068,0.5734602,0.007061749,0.338717,0.006458576,0.07037373],"study_design_scores_gemma":[0.00002629989,0.000080538,0.0001976963,0.00002239971,0.00001168088,0.00004551144,0.00002082192,0.9532683,0.00100652,0.04471895,0.000585438,0.00001582664],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02526007,0.00128462,0.9650248,0.0008380825,0.0001043009,0.00007760893,0.0002373436,0.0003804801,0.006792775],"genre_scores_gemma":[0.6222896,0.002726692,0.3611257,0.0006034964,0.0005432651,0.000392193,0.001034894,0.0007901193,0.010494],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009044945,"threshold_uncertainty_score":0.04783481,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2083124319","doi":"10.1016/j.jat.2013.05.001","title":"Direct and inverse approximation theorems for the <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si5.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>p</mml:mi></mml:math>-version of the finite element method in the framework of weighted Besov spaces, part III: Inverse approximation theorems","year":2013,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Inverse; Sobolev space; Convergence (economics); Applied mathematics; Pure mathematics; Geometry","authors":[{"name":"Benqi Guo","is_ca":true},{"name":"Ivo Babuška","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02137961808491169,"gpt":0.2690408831358624,"spread":0.2476612650509508,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003256264,0.001214523,0.0008557449,0.001804972,0.0006679558,0.002411216,0.001446249,0.001292931,0.007894718],"category_scores_gemma":[0.01319734,0.0005064232,0.002132981,0.0007383138,0.0022821,0.00373488,0.003116374,0.005744347,0.002462971],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001018999,"about_ca_system_score_gemma":0.0009892833,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001358815,"about_ca_topic_score_gemma":0.001301518,"domain_scores_codex":[0.9986902,0.0004021483,0.00007707495,0.0001939776,0.0005552419,0.00008143385],"domain_scores_gemma":[0.9956299,0.002579855,0.000218938,0.0004123442,0.0009629175,0.0001960624],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003089006,0.00003011099,0.0001779359,0.0001546957,0.00003017391,0.00004834182,0.0001425914,0.00943799,0.001629864,0.9626912,0.004442803,0.0211834],"study_design_scores_gemma":[0.00001224397,0.0000385049,0.0002207567,0.0000777325,0.00003300299,0.0002805324,0.00008009283,0.2176145,0.002758052,0.7641639,0.01469358,0.00002706446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004414865,0.00100062,0.9748766,0.0006131023,0.000291449,0.00002581318,0.0001131357,0.00007935461,0.01858487],"genre_scores_gemma":[0.2829944,0.005479431,0.6283593,0.001193676,0.00114582,0.0004951425,0.001050408,0.001050284,0.07823153],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007894718,"threshold_uncertainty_score":0.02641046,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2941487973","doi":"10.1016/j.jat.2019.04.005","title":"On the strong restricted isometry property of Bernoulli random matrices","year":2019,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Sparse and Compressive Sensing Techniques","field":"Engineering","cited_by":8,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Restricted isometry property; Bernoulli's principle; Mathematics; Random matrix; Bernoulli process; Gaussian; Combinatorics; Random field; Matrix (chemical analysis); Lemma (botany); Isometry (Riemannian geometry); Discrete mathematics; Compressed sensing; Pure mathematics; Algorithm; Statistics","authors":[{"name":"Ran Lu","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01042324306797262,"gpt":0.212246264125185,"spread":0.2018230210572124,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007255812,0.001657317,0.001722926,0.002481042,0.0008010521,0.002077982,0.001888143,0.001984169,0.004674027],"category_scores_gemma":[0.0470689,0.001136802,0.001168787,0.00203123,0.007832454,0.007202593,0.005214951,0.005369636,0.0009002506],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008453123,"about_ca_system_score_gemma":0.001142791,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00100831,"about_ca_topic_score_gemma":0.0006305342,"domain_scores_codex":[0.9955494,0.002166985,0.0001897049,0.0006467341,0.001127989,0.0003191389],"domain_scores_gemma":[0.9546304,0.03513011,0.002817528,0.003605189,0.002503828,0.001313047],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000152263,0.00004359837,0.0007040864,0.0001125584,0.00003800956,0.0001998103,0.0002276966,0.02755024,0.002054609,0.9573956,0.001712076,0.0098094],"study_design_scores_gemma":[0.00003209518,0.00006990351,0.0004637453,0.00003783295,0.00001479158,0.0002166073,0.00005915296,0.1677837,0.0007303189,0.8292893,0.001262601,0.00003995864],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05773917,0.001015407,0.9233474,0.001941605,0.0002611029,0.00005495877,0.0002763078,0.0001424501,0.01522169],"genre_scores_gemma":[0.8585665,0.004427133,0.1183912,0.001840521,0.002271592,0.0003513876,0.0008219351,0.0003125428,0.01301714],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007255812,"threshold_uncertainty_score":0.03837281,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2054281510","doi":"10.1006/jath.2001.3636","title":"Antiproximinal Norms in Banach Spaces","year":2002,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Simon Fraser University","funders":"Simon Fraser University","keywords":"Mathematics; Banach space; Separable space; Norm (philosophy); Pure mathematics; Banach manifold; Regular polygon; Dual norm; Approximation property; Interpolation space; Lp space; Mathematical analysis; Functional analysis; Geometry","authors":[{"name":"Jonathan M. Borwein","is_ca":true},{"name":"M. J. Sevilla","is_ca":false},{"name":"J. P. Moreno","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0364548692731139,"gpt":0.2938604944171202,"spread":0.2574056251440063,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004387697,0.001025441,0.0007833227,0.002334873,0.001325805,0.003939174,0.00126065,0.001219222,0.003946542],"category_scores_gemma":[0.007461555,0.0006558417,0.0007846596,0.001639145,0.004111069,0.009066395,0.002747906,0.004314721,0.0005762826],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001064683,"about_ca_system_score_gemma":0.0006155426,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004296813,"about_ca_topic_score_gemma":0.0005095383,"domain_scores_codex":[0.9981224,0.000771306,0.0001383722,0.0002688761,0.0005801723,0.000118809],"domain_scores_gemma":[0.9936991,0.003228429,0.0005640282,0.0004550667,0.001429955,0.0006235607],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00002231595,0.000009907988,0.00009822314,0.00002082119,0.000005514094,0.00002340748,0.0001154887,0.0002966478,0.0005174512,0.9961877,0.0002839575,0.002418629],"study_design_scores_gemma":[0.00001137771,0.00003129087,0.0001543833,0.000008472317,0.00000732123,0.00008899355,0.00008039882,0.005245788,0.0003515622,0.9910696,0.002943503,0.00000725729],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2129578,0.006939875,0.6842938,0.004497729,0.001626549,0.00004777112,0.000248757,0.0002614842,0.08912627],"genre_scores_gemma":[0.8511233,0.004790158,0.1025202,0.0009043468,0.002078884,0.0001675439,0.0003037465,0.0001894365,0.03792232],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004387697,"threshold_uncertainty_score":0.02320462,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1969075526","doi":"10.1016/j.jat.2009.12.010","title":"Computation of weighted capacity","year":2010,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Computation; Measure (data warehouse); Set (abstract data type); Upper and lower bounds; Mathematical optimization; Plane (geometry); Value (mathematics); Algorithm; Applied mathematics; Discrete mathematics; Computer science; Data mining; Mathematical analysis; Statistics; Geometry","authors":[{"name":"Quentin Rajon","is_ca":true},{"name":"Thomas Ransford","is_ca":true},{"name":"Jérémie Rostand","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03912598833639111,"gpt":0.2974893503978603,"spread":0.2583633620614691,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001802471,0.0008084356,0.0009385142,0.002132513,0.0008531474,0.002313344,0.001976645,0.00123439,0.01179703],"category_scores_gemma":[0.0131376,0.0005493914,0.0007563409,0.001363431,0.002053268,0.006315765,0.002589058,0.001524759,0.000673289],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001433235,"about_ca_system_score_gemma":0.0008620215,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001429327,"about_ca_topic_score_gemma":0.0014263,"domain_scores_codex":[0.9994429,0.0001824824,0.00002601866,0.0001149764,0.0001412555,0.00009237086],"domain_scores_gemma":[0.9965416,0.002040396,0.0002027105,0.0004533906,0.0004589873,0.0003028862],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005087993,0.00001853924,0.0003570217,0.00005494689,0.00002582106,0.0000484937,0.00005264393,0.04716357,0.001144324,0.9396511,0.001303138,0.01012954],"study_design_scores_gemma":[0.000004338448,0.000008321671,0.0001361291,0.00001499534,0.000009367815,0.00002611723,0.0000181296,0.3944794,0.001007347,0.6033336,0.0009517207,0.00001060067],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1908582,0.0006263827,0.7671303,0.00102742,0.0003555237,0.00006188909,0.0003822829,0.0004976882,0.03906039],"genre_scores_gemma":[0.9021761,0.0002775068,0.08024544,0.0001286738,0.0001619841,0.00008905366,0.0003359706,0.0004335488,0.01615179],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01179703,"threshold_uncertainty_score":0.03946501,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2765473875","doi":"10.1016/j.jat.2017.10.005","title":"Bernstein type inequalities for restrictions of polynomials to complex submanifolds of <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"mml1\" display=\"inline\" overflow=\"scroll\" altimg=\"si1.gif\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">C</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>","year":2017,"lang":"lv","type":"article","venue":"Journal of Approximation Theory","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Holomorphic function; Type (biology); Polynomial; Complex quadratic polynomial; Inequality; Bernstein polynomial; Pure mathematics; Combinatorics; Mathematical analysis","authors":[{"name":"Alexander Brudnyi","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04291381457975747,"gpt":0.2825229121867807,"spread":0.2396090976070232,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003457852,0.001345074,0.001038798,0.002178249,0.001188145,0.00332704,0.002104964,0.00114572,0.02583622],"category_scores_gemma":[0.02068317,0.000728979,0.001331677,0.001308509,0.003092562,0.006461524,0.00404561,0.005312586,0.002456992],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003223275,"about_ca_system_score_gemma":0.001653252,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005595839,"about_ca_topic_score_gemma":0.005610374,"domain_scores_codex":[0.997592,0.000754924,0.00008720589,0.0004471237,0.0006052516,0.0005136757],"domain_scores_gemma":[0.9843604,0.01032998,0.001050801,0.0006806545,0.002093054,0.001485118],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009465682,0.00002087066,0.00063765,0.0001223002,0.00002938045,0.0000900661,0.0001787071,0.004805348,0.001446829,0.9814802,0.004193591,0.006900334],"study_design_scores_gemma":[0.00002888441,0.00005829111,0.001629106,0.00006987819,0.00002743459,0.000204699,0.0002194595,0.07921195,0.0008877037,0.9120314,0.00558799,0.00004314824],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1167446,0.002801708,0.6875092,0.006137975,0.00075185,0.000141699,0.001775383,0.0003134207,0.1838243],"genre_scores_gemma":[0.8599589,0.004407417,0.05609262,0.001434323,0.001070828,0.00042297,0.002436848,0.0004382494,0.07373791],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02583622,"threshold_uncertainty_score":0.08643079,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}