{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":482,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":482,"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":"6393fb79e141","filters":{"topic":"Point processes and geometric inequalities"}},"results":[{"id":"W2092411916","doi":"10.1111/j.1467-9868.2005.00519.x","title":"Residual Analysis for Spatial Point Processes (with Discussion)","year":2005,"lang":"en","type":"article","venue":"Journal of the Royal Statistical Society Series B (Statistical Methodology)","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":318,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of New Brunswick","funders":"Australian Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Point process; Spatial dependence; Covariate; Context (archaeology); Statistics; Mathematics; Spatial analysis; Residual; Econometrics; Computer science; Algorithm; Geography","authors":[{"name":"Adrian Baddeley","is_ca":false},{"name":"Rolf Turner","is_ca":true},{"name":"Jesper Møller","is_ca":false},{"name":"Martin L. Hazelton","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09397163501674324,"gpt":0.3679016319151265,"spread":0.2739299968983833,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01378282,0.0008319788,0.001089733,0.002621435,0.0003266378,0.001438047,0.002227533,0.001151101,0.006950865],"category_scores_gemma":[0.05840869,0.0003060694,0.002100959,0.003733768,0.002726087,0.002269879,0.00203252,0.002445258,0.001287202],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001137085,"about_ca_system_score_gemma":0.00104912,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004889385,"about_ca_topic_score_gemma":0.002297469,"domain_scores_codex":[0.9920298,0.004743625,0.0004820349,0.0009593199,0.001530379,0.0002548383],"domain_scores_gemma":[0.9681211,0.02255807,0.002781349,0.002915099,0.00339581,0.0002286385],"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":[0.00004157182,0.00002328745,0.003613766,0.0003870696,0.000104896,0.000186746,0.0003185114,0.05703929,0.0009334976,0.8462877,0.005094112,0.08596942],"study_design_scores_gemma":[0.00002345071,0.0001167419,0.004159787,0.0001847842,0.00006065365,0.0002231501,0.0001503141,0.257052,0.001182484,0.7098019,0.02698735,0.00005735922],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003517676,0.0008221018,0.9933769,0.0003964266,0.00008920653,0.00003104788,0.000153545,0.0002852728,0.00132777],"genre_scores_gemma":[0.2785127,0.003011829,0.707248,0.0006363082,0.0004508071,0.0005491329,0.001376522,0.0009856566,0.007229021],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01378282,"threshold_uncertainty_score":0.07289135,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2006308315","doi":"10.1007/s002220100160","title":"A Riemannian interpolation inequality à la Borell, Brascamp and Lieb","year":2001,"lang":"fr","type":"article","venue":"Inventiones mathematicae","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":299,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Ricci curvature; Riemannian manifold; Manifold (fluid mechanics); Scalar curvature; Interpolation (computer graphics); Curvature; Euclidean space; Pure mathematics; Exponential map (Riemannian geometry); Euclidean geometry; Mathematical analysis; Sectional curvature; Geometry; Motion (physics); Physics","authors":[{"name":"Dario Cordero–Erausquin","is_ca":false},{"name":"Robert J. McCann","is_ca":true},{"name":"Michael Schmuckenschläger","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0614063749712019,"gpt":0.331153138569186,"spread":0.2697467635979841,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002456845,0.0006973496,0.001165371,0.001772908,0.001720967,0.002416228,0.00101875,0.00227949,0.006379181],"category_scores_gemma":[0.006319078,0.0003592175,0.001062301,0.001758058,0.004911883,0.006058678,0.002631545,0.006218493,0.0006424151],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002992224,"about_ca_system_score_gemma":0.001322131,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0048694,"about_ca_topic_score_gemma":0.002714468,"domain_scores_codex":[0.9991267,0.0003676545,0.00003166773,0.000165557,0.0002058212,0.0001026141],"domain_scores_gemma":[0.9979809,0.001229501,0.0001343324,0.0001803236,0.0002933805,0.0001816488],"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":[0.00001188202,0.000004866655,0.000103667,0.00002347082,0.000004857177,0.00002243966,0.00008372949,0.0003042279,0.0001868077,0.9947089,0.00154441,0.003000804],"study_design_scores_gemma":[0.000006522051,0.00001282313,0.0002768865,0.0000204077,0.000006252535,0.00003660383,0.00003596798,0.002291926,0.0001069795,0.985499,0.01169865,0.00000793152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1649055,0.08254009,0.3527486,0.09594174,0.003714815,0.00007304611,0.0008030113,0.0002704992,0.2990026],"genre_scores_gemma":[0.8370566,0.01879585,0.05774584,0.006538612,0.005081102,0.000158015,0.0003187328,0.0002337089,0.07407153],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006379181,"threshold_uncertainty_score":0.02171022,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1999370902","doi":"10.1016/j.aim.2004.08.004","title":"Smallest singular value of random matrices and geometry of random polytopes","year":2004,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":263,"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; Polytope; Singular value; Random matrix; Combinatorics; Isomorphism (crystallography); Dimension (graph theory); Matrix (chemical analysis); Multivariate random variable; Regular polygon; Convex hull; Random variable; Geometry; Statistics; Eigenvalues and eigenvectors","authors":[{"name":"A.E. Litvak","is_ca":true},{"name":"Alain Pajor","is_ca":false},{"name":"Mark Rudelson","is_ca":false},{"name":"Nicole Tomczak-Jaegermann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01830570104178682,"gpt":0.3034575945440424,"spread":0.2851518935022556,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003593355,0.001699037,0.002650609,0.004331465,0.00113465,0.00400659,0.002302199,0.001997561,0.004166228],"category_scores_gemma":[0.02851049,0.001167324,0.001250276,0.001830971,0.006741614,0.005593685,0.00280498,0.004103745,0.0005359994],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001761643,"about_ca_system_score_gemma":0.001047906,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001914095,"about_ca_topic_score_gemma":0.00134846,"domain_scores_codex":[0.9971883,0.001004618,0.0001260263,0.0006775197,0.000684946,0.0003186857],"domain_scores_gemma":[0.9652646,0.02491795,0.003441066,0.0015074,0.002284573,0.002584493],"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":[0.0000967684,0.0000480977,0.001199116,0.0001320129,0.00005876324,0.0001096555,0.0001450766,0.0498968,0.001662968,0.9385784,0.001291396,0.006780933],"study_design_scores_gemma":[0.00002092406,0.00005715737,0.0008468853,0.00003109398,0.00001688966,0.00009103676,0.00006528006,0.133164,0.0005765774,0.8642631,0.0008179272,0.00004904793],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2232656,0.002641258,0.7593206,0.002752773,0.000224338,0.00008791361,0.0006379717,0.0002564271,0.01081317],"genre_scores_gemma":[0.9417759,0.003291441,0.04605702,0.0004194517,0.0008749259,0.0002002703,0.0008749818,0.0001368537,0.006369114],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004331465,"threshold_uncertainty_score":0.01900369,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2028574924","doi":"10.1046/j.1365-2818.2002.01006.x","title":"Stereological length estimation using spherical probes","year":2002,"lang":"en","type":"article","venue":"Journal of Microscopy","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":206,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Sunnybrook Health Science Centre","funders":"National Institute of Neurological Disorders and Stroke; National Institute on Aging","keywords":"Isotropy; Sampling (signal processing); Cube (algebra); Orientation (vector space); Geometry; Mathematics; Physics; Optics","authors":[{"name":"Peter R. Mouton","is_ca":false},{"name":"A.M. Gokhale","is_ca":false},{"name":"Nicole L. Ward","is_ca":true},{"name":"Mark J. West","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.15253626443378,"gpt":0.3743709607155106,"spread":0.2218346962817306,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009270007,0.0004697494,0.0002992121,0.002476696,0.00033223,0.0005319237,0.0007493515,0.0004700959,0.001788117],"category_scores_gemma":[0.003130244,0.0003705236,0.0003445518,0.001069183,0.0007461264,0.0009351251,0.001046339,0.0005765997,0.0004565778],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007200756,"about_ca_system_score_gemma":0.0005068379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001805736,"about_ca_topic_score_gemma":0.002559516,"domain_scores_codex":[0.9992914,0.0001502132,0.00004376268,0.0001531271,0.0003085272,0.00005293557],"domain_scores_gemma":[0.9982494,0.0005327507,0.0003447481,0.0003586794,0.0004624928,0.00005205985],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003120024,0.00004468087,0.006904479,0.0002474163,0.00006236965,0.0002336553,0.0005179008,0.04211402,0.5323229,0.107452,0.002354068,0.3074345],"study_design_scores_gemma":[0.00004126479,0.0002467574,0.02194675,0.00004496126,0.00004335936,0.00106586,0.0002272945,0.5119912,0.4061346,0.04071079,0.01738,0.0001672032],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02882958,0.0001174019,0.9684447,0.00002994087,0.00001183906,0.000026438,0.0001319257,0.0005475227,0.001860602],"genre_scores_gemma":[0.2804249,0.0002963294,0.7173017,0.00002829108,0.0000199939,0.0001056746,0.0003926375,0.0002110818,0.001219252],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002476696,"threshold_uncertainty_score":0.005981803,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3100363164","doi":"","title":"Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles","year":2012,"lang":"en","type":"article","venue":"","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":176,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Identity matrix; Combinatorics; Convex body; Multivariate random variable; Covariance matrix; Covariance; Identity (music); Regular polygon; Matrix (chemical analysis); Isotropy; Random variable; Eigenvalues and eigenvectors; Statistics; Geometry; Convex optimization; Physics","authors":[{"name":"Alexander E. Litvak","is_ca":true},{"name":"Alain Pajor","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.2582726967743263,"gpt":0.4255868669645105,"spread":0.1673141701901842,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.009954476,0.001744396,0.001522669,0.002318405,0.0007905915,0.002130688,0.002849922,0.00155965,0.002871718],"category_scores_gemma":[0.0622248,0.0009948839,0.001313624,0.001014582,0.004930138,0.005553497,0.003538212,0.004864662,0.0005182852],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002719979,"about_ca_system_score_gemma":0.001311003,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002581167,"about_ca_topic_score_gemma":0.001672093,"domain_scores_codex":[0.9970248,0.001295627,0.0001146787,0.0004817663,0.0007396484,0.0003433938],"domain_scores_gemma":[0.9447173,0.04268237,0.002844871,0.003682764,0.004181067,0.001891587],"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":[0.0001975257,0.00007570781,0.006180047,0.0002860506,0.0001450141,0.0002196787,0.0003704284,0.3126955,0.005949298,0.6582165,0.003009412,0.01265465],"study_design_scores_gemma":[0.000009122311,0.00004467465,0.001982866,0.00004920801,0.00001614262,0.00008609008,0.00005659693,0.8382661,0.001234218,0.157451,0.0007621504,0.00004174151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0640811,0.0009115929,0.9281823,0.001151857,0.00006639095,0.00004604318,0.000301662,0.0002428133,0.005016312],"genre_scores_gemma":[0.8653187,0.002599486,0.1200363,0.0006767965,0.0004260527,0.0004369777,0.00123874,0.000539296,0.008727698],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009954476,"threshold_uncertainty_score":0.05264497,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4211211011","doi":"","title":"Monge–Kantorovich depth, quantiles, ranks and signs","year":2017,"lang":"en","type":"article","venue":"DSpace@MIT (Massachusetts Institute of Technology)","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":154,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Center for Interuniversity Research and Analysis on Organizations","funders":"","keywords":"Quantile; Mathematics; Consistency (knowledge bases); Regular polygon; Elliptical distribution; Multivariate statistics; Distribution (mathematics); Population; Statistics; Multivariate normal distribution; Mathematical analysis; Geometry","authors":[{"name":"Alfred Galichon","is_ca":false},{"name":"Marc Hallin","is_ca":false},{"name":"Marc Henry","is_ca":false},{"name":"Victor Chernozhukov","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06154960733661525,"gpt":0.3308930706785508,"spread":0.2693434633419356,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003147988,0.0007059035,0.000653006,0.002153687,0.0005684591,0.002936973,0.001257512,0.001134559,0.003869678],"category_scores_gemma":[0.01283124,0.0004190764,0.000807024,0.001754685,0.003844952,0.007780013,0.002806984,0.00275908,0.0005920415],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001561482,"about_ca_system_score_gemma":0.0009263848,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001069035,"about_ca_topic_score_gemma":0.0006740158,"domain_scores_codex":[0.9986811,0.0005422699,0.00006569252,0.0002036664,0.0003745409,0.0001327228],"domain_scores_gemma":[0.9956725,0.001955195,0.0007552535,0.0005733678,0.0007593078,0.0002844869],"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":[0.00001370652,0.000006430529,0.0003695575,0.00002642656,0.000006630892,0.00001276555,0.00007445233,0.005554872,0.0003332224,0.9850944,0.0004173075,0.008090162],"study_design_scores_gemma":[0.00001427671,0.00005732597,0.0007345639,0.00002425962,0.000008487542,0.00008195933,0.00008222929,0.06391454,0.0007297844,0.9284077,0.005916298,0.00002863125],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03892535,0.0008133942,0.9490206,0.0009485626,0.00008530117,0.00004019152,0.0002244268,0.0001254608,0.009816753],"genre_scores_gemma":[0.7487953,0.00226029,0.2360517,0.0005054115,0.000328579,0.0002564043,0.0003572966,0.0001997759,0.01124522],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003869678,"threshold_uncertainty_score":0.01664835,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2034647728","doi":"10.1016/s0024-3795(01)00313-5","title":"Discrete nodal domain theorems","year":2001,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":152,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; NODAL; Domain (mathematical analysis); Modified nodal analysis; Pure mathematics; Discrete mathematics; Algebra over a field; Mathematical analysis","authors":[{"name":"E. BrianDavies","is_ca":false},{"name":"GrahamM.L. Gladwell","is_ca":true},{"name":"Josef Leydold","is_ca":false},{"name":"Peter F. Stadler","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03323453719590688,"gpt":0.3172663566254125,"spread":0.2840318194295056,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009264112,0.0007412827,0.0008342369,0.001808693,0.001085296,0.002048267,0.001090276,0.0008764259,0.01317718],"category_scores_gemma":[0.002150278,0.0003570105,0.0006983738,0.001262277,0.003036265,0.004587937,0.002576985,0.003934702,0.001451073],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001293858,"about_ca_system_score_gemma":0.0004393625,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008299031,"about_ca_topic_score_gemma":0.0006880384,"domain_scores_codex":[0.9996153,0.0001052669,0.00001445585,0.0001049946,0.0001092428,0.00005065315],"domain_scores_gemma":[0.9992654,0.000380654,0.0000506288,0.00008500232,0.0001367588,0.00008159102],"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":[0.000003850594,0.00000304171,0.00002433307,0.00001025601,0.000001909898,0.000006787339,0.00003354686,0.0002261095,0.0001237946,0.9976835,0.0006049962,0.001277741],"study_design_scores_gemma":[0.000005209341,0.000003752816,0.00006603533,0.000006164878,0.000003948631,0.00002223919,0.00003630996,0.002481401,0.0002208824,0.9911162,0.00603489,0.000003030883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07575212,0.005490063,0.4902439,0.005677732,0.0006658649,0.00005627753,0.0007387855,0.0002633155,0.4211119],"genre_scores_gemma":[0.7984293,0.0051522,0.05354385,0.001232128,0.001033864,0.0002189528,0.0007327906,0.0002173011,0.1394396],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01317718,"threshold_uncertainty_score":0.04408211,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2012467876","doi":"10.1007/s00208-011-0640-9","title":"An asymmetric affine Pólya–Szegö principle","year":2011,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":144,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Austrian Science Fund","keywords":"Mathematics; Affine transformation; Symmetrization; Pure mathematics; Affine geometry of curves; Affine space; Logarithm; Inequality; Euclidean geometry; Combinatorics; Mathematical analysis; Geometry","authors":[{"name":"Christoph Haberl","is_ca":false},{"name":"Franz E. Schuster","is_ca":false},{"name":"Jie Xiao","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.121005040220052,"gpt":0.3384063630037654,"spread":0.2174013227837135,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00154093,0.0007581392,0.001146759,0.001283676,0.001980794,0.002713309,0.001171906,0.001713101,0.009795242],"category_scores_gemma":[0.002579566,0.0004766501,0.001452476,0.001040454,0.00392528,0.005239669,0.003103262,0.004342279,0.001268674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001316826,"about_ca_system_score_gemma":0.0009461981,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005629025,"about_ca_topic_score_gemma":0.0004685723,"domain_scores_codex":[0.9989083,0.0003019838,0.00005008757,0.0002204175,0.000335515,0.0001836784],"domain_scores_gemma":[0.9990017,0.0004401301,0.0001145208,0.0001408371,0.000178303,0.0001244815],"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":[0.000006352021,0.000003298246,0.0000227026,0.000008501346,0.000002586952,0.00001136555,0.00001807413,0.0003311298,0.0001834232,0.9982147,0.0003223284,0.0008754235],"study_design_scores_gemma":[0.000007866064,0.000008366637,0.00008301231,0.000004859605,0.000004239023,0.00003079413,0.00001461686,0.003702097,0.0001643207,0.9934726,0.002501939,0.000005242963],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1266215,0.002171839,0.5907733,0.007003833,0.0007409384,0.0001151184,0.0005446115,0.0002102592,0.2718186],"genre_scores_gemma":[0.8839713,0.001849913,0.0525303,0.001509144,0.001158329,0.0002704072,0.0003311623,0.0001907061,0.05818876],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009795242,"threshold_uncertainty_score":0.03276837,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2112574583","doi":"10.1090/s0894-0347-09-00650-x","title":"Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles","year":2009,"lang":"en","type":"article","venue":"Journal of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":115,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Division of Mathematical Sciences; University of Alberta; Pacific Institute for the Mathematical Sciences","keywords":"Covariance; Identity matrix; Covariance matrix; Multivariate random variable; Estimation of covariance matrices; Identity (music); Convergence (economics); Regular polygon; Distribution (mathematics)","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.1133972582069181,"gpt":0.4025220636771473,"spread":0.2891248054702293,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01123376,0.00126245,0.001420937,0.002525368,0.0009735359,0.003388993,0.002383851,0.001657552,0.009057737],"category_scores_gemma":[0.07376891,0.0009719306,0.001364591,0.001297739,0.003209105,0.005106374,0.002861998,0.003589393,0.00188057],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002437624,"about_ca_system_score_gemma":0.001703155,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003774415,"about_ca_topic_score_gemma":0.003513895,"domain_scores_codex":[0.9965803,0.001542568,0.0001718635,0.0005945608,0.0008192338,0.000291378],"domain_scores_gemma":[0.9347938,0.05103828,0.002265908,0.005102033,0.005345417,0.001454559],"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":[0.0001656609,0.00005598549,0.005071753,0.0004086129,0.0001240304,0.000145464,0.0002943207,0.3781481,0.002833,0.5811958,0.008296308,0.02326088],"study_design_scores_gemma":[0.00001063363,0.00003016777,0.001919959,0.0000988815,0.00001819479,0.00008689622,0.00007399866,0.8087949,0.001508513,0.1854202,0.001989411,0.0000483441],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04152458,0.0006067668,0.9452319,0.001173917,0.00009953292,0.00005980727,0.0008146302,0.0007483541,0.009740441],"genre_scores_gemma":[0.743551,0.002315211,0.2242949,0.0009080332,0.0005614203,0.0006594891,0.004457212,0.002143114,0.02110964],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01123376,"threshold_uncertainty_score":0.05941051,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2133935288","doi":"10.1016/j.jmaa.2015.05.016","title":"The dual Orlicz–Brunn–Minkowski theory","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":101,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; Alexander von Humboldt-Stiftung; National Science Foundation","keywords":"Mathematics; Dual polyhedron; Minkowski space; Minkowski inequality; Star (game theory); Dual (grammatical number); Mixed volume; Pure mathematics; Mathematical analysis; Inequality; Hölder's inequality; Regular polygon; Convex body; Geometry; Linear inequality; Convex hull","authors":[{"name":"Richard J. Gardner","is_ca":false},{"name":"Daniel Hug","is_ca":false},{"name":"Wolfgang Weil","is_ca":false},{"name":"Deping Ye","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05830612712458456,"gpt":0.3393409908186761,"spread":0.2810348636940916,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001760112,0.0008363827,0.001221102,0.003083416,0.001798218,0.00336204,0.001399534,0.001714097,0.006069721],"category_scores_gemma":[0.003342591,0.0004352751,0.001018644,0.001281319,0.003960966,0.006332506,0.002754336,0.003551945,0.0007168271],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001934784,"about_ca_system_score_gemma":0.001061023,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001036457,"about_ca_topic_score_gemma":0.0005199088,"domain_scores_codex":[0.9991508,0.0003091131,0.00004437468,0.0001695921,0.0002118357,0.000114231],"domain_scores_gemma":[0.9992127,0.0002069637,0.0001368789,0.0000967891,0.0001873261,0.0001593041],"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":[0.000006946715,0.000003168298,0.00003012797,0.00001074893,0.00000301794,0.000009275611,0.00001957447,0.000180449,0.0001174801,0.9985338,0.0002994365,0.0007858683],"study_design_scores_gemma":[0.000004724862,0.000006703941,0.00007234322,0.000008233071,0.000003567384,0.00004645007,0.0000262029,0.002797708,0.00009328051,0.9938718,0.003062337,0.000006665475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1798735,0.009463683,0.4424278,0.01374496,0.001977937,0.000111196,0.0007377299,0.000154488,0.3515088],"genre_scores_gemma":[0.8750401,0.004177889,0.05273335,0.002185346,0.00241878,0.0001494688,0.0003914658,0.0001721281,0.06273158],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006069721,"threshold_uncertainty_score":0.02030522,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1969646564","doi":"10.1007/s00208-010-0555-x","title":"Sharp convex Lorentz–Sobolev inequalities","year":2010,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":97,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Isoperimetric inequality; Mathematics; Lorentz transformation; Lipschitz continuity; Regular polygon; Pure mathematics; Minkowski space; Sobolev inequality; Inequality; Mathematical analysis; Sobolev space; Mathematical physics; Geometry; Physics; Classical mechanics","authors":[{"name":"Monika Ludwig","is_ca":false},{"name":"Jie Xiao","is_ca":true},{"name":"Gaoyong Zhang","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06060825728206195,"gpt":0.3187404402590165,"spread":0.2581321829769546,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002743203,0.00175993,0.001003352,0.00297001,0.001099362,0.002848173,0.001368193,0.001630762,0.006771233],"category_scores_gemma":[0.007809627,0.0006279277,0.001050582,0.00167435,0.00413901,0.005978981,0.003089955,0.007026346,0.001001914],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002060486,"about_ca_system_score_gemma":0.0006734225,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00162475,"about_ca_topic_score_gemma":0.001149416,"domain_scores_codex":[0.9989242,0.0004261108,0.0000416113,0.0001633834,0.0003082677,0.000136479],"domain_scores_gemma":[0.9967862,0.001812757,0.000349916,0.0002350948,0.0004800661,0.0003359446],"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":[0.00002193496,0.000008487302,0.0001268492,0.00003939488,0.00001079141,0.00003741082,0.0001027416,0.001818389,0.0006533084,0.992316,0.001240874,0.003623807],"study_design_scores_gemma":[0.000008467451,0.00001232322,0.0003533958,0.00001581921,0.00001033172,0.00004957919,0.00004831517,0.01315879,0.0004263129,0.9814613,0.004441645,0.00001369063],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1625175,0.010527,0.6184431,0.01195154,0.0009924801,0.00008140668,0.0008502234,0.0003506957,0.194286],"genre_scores_gemma":[0.8687198,0.008162423,0.06925993,0.002503159,0.001777161,0.0002053901,0.0006059981,0.0002391698,0.04852691],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006771233,"threshold_uncertainty_score":0.02265203,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2060940929","doi":"10.1239/jap/1378401234","title":"Central Limit Theorem for Nonlinear Hawkes Processes","year":2013,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Defense Advanced Research Projects Agency; York University; National Science Foundation","keywords":"Strassen algorithm; Law of the iterated logarithm; Point process; Central limit theorem; Mathematics; Invariance principle; Nonlinear system; Logarithm; Limit (mathematics); Iterated function; Statistical physics; Applied mathematics; Mathematical economics; Calculus (dental); Pure mathematics; Mathematical analysis; Statistics","authors":[{"name":"Lingjiong Zhu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0525338628581558,"gpt":0.2906716240689584,"spread":0.2381377612108026,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004122739,0.0007699288,0.001100827,0.001871991,0.0009247934,0.001383988,0.001744569,0.001271396,0.004291127],"category_scores_gemma":[0.01076925,0.000254786,0.001691747,0.0008291502,0.003179517,0.003000558,0.002068568,0.002480133,0.0005467695],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001597473,"about_ca_system_score_gemma":0.001495263,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002082826,"about_ca_topic_score_gemma":0.001150023,"domain_scores_codex":[0.9989923,0.0002993664,0.00003874342,0.0001869136,0.0003503481,0.0001323932],"domain_scores_gemma":[0.9945883,0.003244616,0.000436818,0.0002755506,0.001105984,0.0003487984],"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":[0.000022064,0.00002193688,0.0004900811,0.0000880136,0.0000412456,0.0001781223,0.000184048,0.01334375,0.002763195,0.9769871,0.001132414,0.004748059],"study_design_scores_gemma":[0.0000224745,0.0000443248,0.0006869897,0.00002563004,0.00001981923,0.0002028075,0.00004978213,0.2453801,0.0008186919,0.7508776,0.001842402,0.0000292926],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.09103496,0.001788399,0.8781033,0.002518462,0.000232902,0.00006707969,0.0002997384,0.0002387236,0.02571657],"genre_scores_gemma":[0.9177315,0.001783515,0.06125729,0.001008727,0.0005576204,0.0003874508,0.000271056,0.0002050492,0.01679784],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004291127,"threshold_uncertainty_score":0.02180338,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1752898370","doi":"10.1080/15326340701645959","title":"Large Deviations of Poisson Cluster Processes","year":2007,"lang":"en","type":"article","venue":"Stochastic Models","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":93,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Université de Sherbrooke","keywords":"Mathematics; Poisson distribution; Cluster (spacecraft); Large deviations theory; Statistical physics; Statistics","authors":[{"name":"Charles Bordenave","is_ca":false},{"name":"Giovanni Luca Torrisi","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07410465666251331,"gpt":0.3396206093485044,"spread":0.2655159526859911,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002956948,0.0006461118,0.0008984177,0.001562367,0.001089812,0.002110972,0.001895646,0.001143742,0.003900721],"category_scores_gemma":[0.0110182,0.0004851211,0.001200011,0.0009157032,0.002824672,0.003450027,0.002934074,0.002869256,0.0004700157],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001614361,"about_ca_system_score_gemma":0.001253285,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009689835,"about_ca_topic_score_gemma":0.0006550059,"domain_scores_codex":[0.9983095,0.0004108127,0.00004874032,0.0003043146,0.0007470337,0.0001795758],"domain_scores_gemma":[0.9951499,0.002699626,0.0005737646,0.0003836139,0.000808582,0.0003845021],"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":[0.00001041216,0.0000114398,0.0003413849,0.00002367244,0.00001373459,0.00005299232,0.0000583218,0.01464606,0.0008435485,0.9814518,0.0005470613,0.001999585],"study_design_scores_gemma":[0.00001293711,0.00002905804,0.0004565266,0.00001188228,0.000007061589,0.00009551829,0.00003804267,0.1995173,0.0007946338,0.7972585,0.001758539,0.00001999381],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1252683,0.0007746409,0.8514793,0.001546411,0.0001401542,0.00008435647,0.0001702647,0.0002033201,0.02033331],"genre_scores_gemma":[0.9307328,0.0009746309,0.05312486,0.0004765271,0.0002870655,0.0002073756,0.0002300009,0.0001647655,0.0138021],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003900721,"threshold_uncertainty_score":0.01563799,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2081508613","doi":"10.1080/01621459.2014.881742","title":"Spatially Varying Coefficient Model for Neuroimaging Data With Jump Discontinuities","year":2014,"lang":"en","type":"article","venue":"Journal of the American Statistical Association","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":86,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"National Institute of General Medical Sciences; National Institute of Mental Health","keywords":"Classification of discontinuities; Monte Carlo method; Piecewise; Covariance; Principal component analysis; Consistency (knowledge bases); Asymptotic distribution; Covariance function; Data set","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.05504662327902528,"gpt":0.3368350070499039,"spread":0.2817883837708786,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006950177,0.001052925,0.001438769,0.002093231,0.0004504212,0.00116053,0.003841084,0.002378906,0.002215617],"category_scores_gemma":[0.02526358,0.0007142883,0.001655664,0.001791924,0.002803796,0.003107144,0.002104761,0.00353259,0.0004384207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001328801,"about_ca_system_score_gemma":0.001045177,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007577962,"about_ca_topic_score_gemma":0.004370336,"domain_scores_codex":[0.997821,0.0009220386,0.00008757682,0.0005440674,0.0004013253,0.0002240319],"domain_scores_gemma":[0.9867464,0.009529729,0.001468575,0.001265604,0.0007587872,0.0002309156],"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":[0.0001280649,0.0000611271,0.00875982,0.0001379804,0.0001644851,0.0004589559,0.0003103805,0.5993909,0.004523423,0.3595887,0.001481391,0.02499471],"study_design_scores_gemma":[0.00001469605,0.00002666947,0.001444938,0.000008692778,0.00002138968,0.00005294134,0.00001531496,0.9441724,0.000292742,0.05348891,0.0004430704,0.00001825094],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.04226908,0.0002827533,0.9558039,0.0005434635,0.00002951714,0.00004335702,0.0002223544,0.0001757362,0.0006299437],"genre_scores_gemma":[0.8185905,0.0007802016,0.1738235,0.0004120142,0.0001613842,0.0004251858,0.0008713715,0.0001392038,0.004796643],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.007577962,"threshold_uncertainty_score":0.03675652,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2788348740","doi":"10.1007/s00526-018-1449-0","title":"General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem I","year":2018,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":82,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Mixed volume; Minkowski space; Measure (data warehouse); Dual (grammatical number); Convex body; Uniqueness; Curvature; Pure mathematics; Mathematical analysis; Minkowski inequality; Star (game theory); Regular polygon; Type (biology); Geometry; Hölder's inequality; Inequality; Convex hull","authors":[{"name":"Richard J. Gardner","is_ca":false},{"name":"Daniel Hug","is_ca":false},{"name":"Wolfgang Weil","is_ca":false},{"name":"Sudan Xing","is_ca":true},{"name":"Deping Ye","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03385468704223429,"gpt":0.3073827568394559,"spread":0.2735280697972216,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002724502,0.001049628,0.001619074,0.003240902,0.002751448,0.005296037,0.002700055,0.002608977,0.00649928],"category_scores_gemma":[0.006603371,0.0006800642,0.001204021,0.002242601,0.007062645,0.01151016,0.003465845,0.004105503,0.000466235],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004122598,"about_ca_system_score_gemma":0.001507194,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002433213,"about_ca_topic_score_gemma":0.00195644,"domain_scores_codex":[0.9990984,0.0003529389,0.00004498198,0.000195243,0.000195126,0.0001133347],"domain_scores_gemma":[0.9981174,0.0009742184,0.0002503632,0.0001449461,0.0002224588,0.0002906168],"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":[0.000002773192,0.000002510273,0.00002172167,0.00001140514,0.000001524833,0.000007394714,0.00002362462,0.0005093939,0.00005769275,0.9987075,0.0002712033,0.0003832433],"study_design_scores_gemma":[0.000002726277,0.000002090803,0.00006045277,0.000007287745,0.000001727422,0.00001489518,0.00002404964,0.003021415,0.00003379139,0.9957108,0.001116486,0.000004283399],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2301695,0.02025063,0.4396462,0.02884383,0.001781708,0.0001129215,0.0008904486,0.0002388263,0.2780659],"genre_scores_gemma":[0.8901762,0.005276531,0.04914086,0.001825642,0.003000703,0.0001731591,0.0005165485,0.0002665494,0.04962384],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00649928,"threshold_uncertainty_score":0.0299117,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3098637923","doi":"10.1214/08-aihp170","title":"Poisson matching","year":2009,"lang":"fr","type":"article","venue":"Annales de l Institut Henri Poincaré Probabilités et Statistiques","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":77,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"","keywords":"Humanities; Physics; Mathematics; Combinatorics; Philosophy","authors":[{"name":"Alexander E. Holroyd","is_ca":true},{"name":"Robin Pemantle","is_ca":false},{"name":"Yuval Peres","is_ca":false},{"name":"Oded Schramm","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06008529568595768,"gpt":0.3651839264698878,"spread":0.3050986307839301,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001531251,0.0009771786,0.001518061,0.002209234,0.002453902,0.004047549,0.002479058,0.003035748,0.1251012],"category_scores_gemma":[0.009146166,0.0006361491,0.001883074,0.00254625,0.001504877,0.005452809,0.004164785,0.0027209,0.03276177],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002862328,"about_ca_system_score_gemma":0.002198219,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002456071,"about_ca_topic_score_gemma":0.002139957,"domain_scores_codex":[0.9977821,0.0004060378,0.0001400041,0.0007149177,0.0005351708,0.0004219054],"domain_scores_gemma":[0.9976848,0.0005618078,0.0002483856,0.0007452898,0.0005570171,0.0002027711],"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":[0.0001560125,0.00007541566,0.001278002,0.0002626205,0.00007047495,0.0002480749,0.0001673514,0.008615948,0.001272989,0.8395386,0.05317834,0.09513609],"study_design_scores_gemma":[0.00009136042,0.0000933054,0.001106559,0.0001254134,0.00004764238,0.0007653527,0.0002100175,0.05354995,0.001403089,0.7303122,0.2122337,0.00006138862],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03018949,0.005190004,0.4663159,0.007206765,0.003361407,0.0005301005,0.003762672,0.002062,0.4813817],"genre_scores_gemma":[0.435317,0.005312992,0.08626487,0.004379713,0.002946756,0.001066324,0.006019829,0.001394944,0.4572976],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.1251012,"threshold_uncertainty_score":0.4185051,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962711240","doi":"10.1007/s00526-019-1657-2","title":"General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem II","year":2019,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":74,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Minkowski space; Convex body; Measure (data warehouse); Mixed volume; Regular polygon; Combinatorics; Minkowski's theorem; Curvature; Borel measure; Polytope; Unit sphere; Pure mathematics; Minkowski addition; Mathematical analysis; Geometry; Convex hull; Probability measure","authors":[{"name":"Richard J. Gardner","is_ca":false},{"name":"Daniel Hug","is_ca":false},{"name":"Sudan Xing","is_ca":true},{"name":"Deping Ye","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02410495431643483,"gpt":0.285530543180143,"spread":0.2614255888637082,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002553273,0.0009337625,0.001534321,0.002991502,0.002709421,0.005408092,0.002591184,0.002581159,0.006109416],"category_scores_gemma":[0.005949538,0.0006685262,0.001125751,0.002141254,0.006697373,0.01147945,0.003407159,0.00414594,0.0004422417],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003945607,"about_ca_system_score_gemma":0.001551976,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002278406,"about_ca_topic_score_gemma":0.001803574,"domain_scores_codex":[0.9991386,0.0003318391,0.00004072311,0.0001822561,0.0001926358,0.0001139745],"domain_scores_gemma":[0.9982796,0.0008930649,0.0002229727,0.000137614,0.0001970093,0.0002698556],"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":[0.000002773547,0.00000245105,0.00001905488,0.00001039975,0.000001353104,0.000006986554,0.00002399194,0.0005162741,0.00005696565,0.9987304,0.0002515812,0.0003776951],"study_design_scores_gemma":[0.000002648095,0.000001878705,0.00005646007,0.000006146725,0.000001454278,0.00001417882,0.00002293997,0.002593071,0.00003542361,0.9962466,0.001015304,0.00000391924],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2351559,0.01784324,0.4146493,0.02907278,0.001676888,0.0001243687,0.0008704312,0.0002273913,0.3003798],"genre_scores_gemma":[0.8971989,0.004340142,0.04546477,0.001598336,0.002535018,0.0001727069,0.0004751906,0.0002575716,0.04795744],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006109416,"threshold_uncertainty_score":0.02862751,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020958959","doi":"10.1239/jap/1409932668","title":"Limit Theorems for a Cox-Ingersoll-Ross Process with Hawkes Jumps","year":2014,"lang":"en","type":"article","venue":"Journal of Applied Probability","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":67,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Defense Advanced Research Projects Agency; York University; National Science Foundation","keywords":"Mathematics; Point process; Limit (mathematics); Cox–Ingersoll–Ross model; Generalization; Large deviations theory; Laplace transform; Central limit theorem; Affine transformation; Applied mathematics; Exponential function; Law of large numbers; Cox process; Mathematical economics; Calculus (dental); Statistical physics; Pure mathematics; Mathematical analysis; Random variable; Poisson process; Statistics; Economics; Physics","authors":[{"name":"Lingjiong Zhu","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04670574987003167,"gpt":0.3063619999450711,"spread":0.2596562500750394,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003345496,0.0007910388,0.0008276851,0.001510257,0.0007555827,0.00125407,0.001308492,0.001237952,0.00518045],"category_scores_gemma":[0.008346775,0.0002529583,0.00148208,0.0007276076,0.002282411,0.003355119,0.001473416,0.002391585,0.0004706752],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001050209,"about_ca_system_score_gemma":0.0008326974,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001480271,"about_ca_topic_score_gemma":0.0007849385,"domain_scores_codex":[0.9993427,0.0002164915,0.00002640766,0.0001258708,0.0002146753,0.00007379829],"domain_scores_gemma":[0.9963535,0.002271252,0.0004245583,0.000162355,0.0004781782,0.0003102005],"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":[0.00001061924,0.00001230695,0.0002292029,0.00003365142,0.00001363906,0.0001059072,0.00008164542,0.009567836,0.00103664,0.9864525,0.0003574943,0.002098585],"study_design_scores_gemma":[0.00002955733,0.00004667103,0.0003687514,0.00002353376,0.00002353304,0.0001670771,0.0000568841,0.2554253,0.000732079,0.7412298,0.001861225,0.00003549915],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0831278,0.001545262,0.8976526,0.001188127,0.0001879909,0.0000659795,0.0001218476,0.0001678868,0.01594254],"genre_scores_gemma":[0.8846387,0.002759265,0.09266209,0.0005479809,0.000442542,0.0003108701,0.0002024394,0.0001455241,0.01829059],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00518045,"threshold_uncertainty_score":0.01769286,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1999717316","doi":"10.1093/imrn/rnp007","title":"The Existence of Convex Body with Prescribed Curvature Measures","year":2009,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":63,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Tsinghua University; National Center for Theoretical Sciences","keywords":"Guan; China; Library science; Regular polygon; Mathematics; Mathematics education; Geography; Computer science; Humanities; Geometry; Art; Archaeology","authors":[{"name":"Pengfei Guan","is_ca":true},{"name":"Chang‐Shou Lin","is_ca":false},{"name":"Xin Ma","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.2130088020749385,"gpt":0.4528411802960768,"spread":0.2398323782211383,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007978338,0.0006644657,0.001191447,0.001769362,0.001416291,0.002292458,0.00134865,0.002358548,0.004650965],"category_scores_gemma":[0.00401529,0.0008451504,0.001039758,0.0009241271,0.00327443,0.002667845,0.002682145,0.001624739,0.001066935],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001210176,"about_ca_system_score_gemma":0.0007551059,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006798889,"about_ca_topic_score_gemma":0.0004534795,"domain_scores_codex":[0.9990158,0.000149393,0.00006163179,0.0002316452,0.0003958447,0.0001456377],"domain_scores_gemma":[0.9985071,0.0004298005,0.0003057448,0.0001789781,0.0003338211,0.0002446124],"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":[0.00003889225,0.0000302442,0.001076586,0.0001481852,0.0000206412,0.000405169,0.0003760627,0.01027122,0.007676306,0.9674436,0.001821628,0.01069148],"study_design_scores_gemma":[0.0000270082,0.0001662458,0.002898591,0.0001210635,0.00003327674,0.001619285,0.0004016017,0.1921616,0.01045899,0.7772872,0.0147344,0.00009072227],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.325213,0.001382081,0.6089748,0.001205867,0.0002176944,0.0001010981,0.0004489745,0.0003174701,0.06213904],"genre_scores_gemma":[0.89814,0.001109121,0.06960001,0.0001642438,0.0002732343,0.0001704186,0.0005835641,0.0001501103,0.02980929],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004650965,"threshold_uncertainty_score":0.01555896,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2907413878","doi":"10.4153/cjm-2007-044-0","title":"The Geometry of <i>L</i><sub>0</sub>","year":2007,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":62,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Canadian Mathematical Society; National Science Foundation","keywords":"Mathematics; Unit sphere; Linear subspace; Embedding; Regular polygon; Dimension (graph theory); Convex geometry; Pure mathematics; Multiplicative function; Euclidean geometry; Normed vector space; Unit (ring theory); Geometry; Combinatorics; Mathematical analysis; Convex set; Convex optimization","authors":[{"name":"N. J. Kalton","is_ca":false},{"name":"Alexander Koldobsky","is_ca":false},{"name":"Vladyslav Yaskin","is_ca":false},{"name":"Maryna Yaskina","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03560982046590145,"gpt":0.274935815170657,"spread":0.2393259947047555,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003666266,0.0002169253,0.0001679364,0.0007782158,0.0006668068,0.001723089,0.0004911345,0.0002726743,0.002707622],"category_scores_gemma":[0.0008349622,0.0001529877,0.0002024919,0.0002465634,0.002880896,0.001456865,0.001597859,0.0006257688,0.000387271],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008670065,"about_ca_system_score_gemma":0.0002462831,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002143783,"about_ca_topic_score_gemma":0.001079709,"domain_scores_codex":[0.9996696,0.00007996828,0.00001168415,0.00005980215,0.0001185271,0.00006038085],"domain_scores_gemma":[0.9995771,0.00006500607,0.00009752956,0.00004181282,0.0001066709,0.0001119762],"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":[0.00001894447,0.000006102518,0.0004038578,0.00001097726,0.000002805283,0.00005004491,0.0003086715,0.001015718,0.002967094,0.9911305,0.0004838666,0.00360137],"study_design_scores_gemma":[0.00001773084,0.000135124,0.007051446,0.00003358775,0.000009926315,0.0004713812,0.001115976,0.02778948,0.009351457,0.9313487,0.02263176,0.00004331264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7564424,0.0003190244,0.1566126,0.0006185167,0.00009760695,0.00003629889,0.0001613697,0.0001021988,0.08561002],"genre_scores_gemma":[0.9787166,0.00009256814,0.01353762,0.00006226976,0.00002974763,0.00002069096,0.00007602098,0.00003803647,0.007426563],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002707622,"threshold_uncertainty_score":0.009057939,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2017712277","doi":"10.1007/pl00011408","title":"On the generic properties of convex optimization problems in conic form","year":2001,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":56,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Conic optimization; Conic section; Convex analysis; Regular polygon; Complementarity (molecular biology); Subderivative; Convex optimization; Convex set; Mathematical optimization; Geometry","authors":[{"name":"Gábor Pataki","is_ca":false},{"name":"Levent Tunçel","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1177119500563265,"gpt":0.2917388044788278,"spread":0.1740268544225013,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006661294,0.001824825,0.002687543,0.003504851,0.002464397,0.004853033,0.002579749,0.003130568,0.005907318],"category_scores_gemma":[0.02118238,0.000987211,0.003117672,0.005925778,0.008975197,0.01454065,0.005366288,0.009210597,0.0008088964],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002551145,"about_ca_system_score_gemma":0.001110582,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001700751,"about_ca_topic_score_gemma":0.001187098,"domain_scores_codex":[0.997407,0.0009295382,0.000170718,0.0005458129,0.0006384819,0.0003083495],"domain_scores_gemma":[0.9885691,0.007328819,0.001202228,0.001106642,0.001129847,0.0006633442],"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":[0.000009420407,0.000007869979,0.0001004603,0.00003362845,0.000007873162,0.00002913558,0.00007165565,0.002429473,0.0001220661,0.9938996,0.0006690002,0.002619929],"study_design_scores_gemma":[0.000008305242,0.00001335624,0.0001689521,0.00002060313,0.000009687954,0.00005947617,0.00004271099,0.01613549,0.0001067967,0.9814301,0.001995435,0.00000919189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06525591,0.004508927,0.8361481,0.005457999,0.0002618397,0.0001241605,0.0005343944,0.0002364356,0.08747225],"genre_scores_gemma":[0.7919317,0.01096265,0.1712141,0.001883507,0.001848979,0.0005081814,0.00119716,0.00052388,0.01992984],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006661294,"threshold_uncertainty_score":0.03522873,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2153268570","doi":"10.1016/j.ejc.2005.05.001","title":"Sphere packings revisited","year":2005,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":52,"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":"Hungarian Science Foundation","keywords":"Mathematics; Combinatorics; Isoperimetric inequality; Conjecture; Discrete geometry; Regular polygon; SPHERES; Dodecahedron; Polyhedron; Voronoi diagram; Constant curvature; Curvature; Geometry; Physics","authors":[{"name":"Károly Bezdek","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04658571231293762,"gpt":0.2953418779338797,"spread":0.2487561656209421,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001024522,0.000867537,0.001685251,0.002580968,0.002465198,0.004859956,0.001753568,0.003209203,0.01583062],"category_scores_gemma":[0.00633911,0.0007038765,0.001135235,0.003736078,0.004264892,0.007305706,0.004718658,0.005294145,0.00208164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001823083,"about_ca_system_score_gemma":0.0006288044,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002623077,"about_ca_topic_score_gemma":0.001789302,"domain_scores_codex":[0.9986865,0.0004126669,0.0000592947,0.000239811,0.0003781003,0.0002236651],"domain_scores_gemma":[0.9975915,0.001135983,0.0003054811,0.0003777375,0.0002976508,0.0002916122],"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":[0.000008927204,0.000004216454,0.00007156003,0.00001530366,0.000003936589,0.00003154551,0.00008266135,0.0005916998,0.00008009811,0.9936179,0.002548305,0.002943797],"study_design_scores_gemma":[0.000006543156,0.0000056258,0.0001924745,0.00001860299,0.000006155848,0.0001399641,0.0001257218,0.003776885,0.0001168663,0.9874772,0.008127674,0.000006231382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2265795,0.01484219,0.1626435,0.03203017,0.002813508,0.0000693945,0.0007786983,0.0004237907,0.5598193],"genre_scores_gemma":[0.8985885,0.005849664,0.02162869,0.002668754,0.002351018,0.00008566838,0.0005023751,0.0002105699,0.06811472],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01583062,"threshold_uncertainty_score":0.05295873,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1945384312","doi":"10.1016/j.jmaa.2016.05.027","title":"Dual Orlicz–Brunn–Minkowski theory: Dual Orlicz L affine and geominimal surface areas","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":50,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Isoperimetric inequality; Mathematics; Affine transformation; Dual (grammatical number); Pure mathematics; Type (biology); Surface (topology); Mathematical analysis; Geometry","authors":[{"name":"Deping Ye","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02791500088641381,"gpt":0.2997868194993237,"spread":0.2718718186129099,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001180673,0.001026908,0.0008423285,0.003239255,0.001535614,0.003618215,0.00117539,0.001485727,0.006166064],"category_scores_gemma":[0.002655407,0.0003996119,0.0007479007,0.001374055,0.003613269,0.005838701,0.002329729,0.00300569,0.0006187779],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001585222,"about_ca_system_score_gemma":0.0006788126,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001223614,"about_ca_topic_score_gemma":0.0007580012,"domain_scores_codex":[0.9995316,0.0001487746,0.00002164914,0.0001104089,0.0001099086,0.00007769147],"domain_scores_gemma":[0.9990588,0.0002349511,0.0002337882,0.00007440434,0.0001814189,0.0002167121],"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":[0.00001017122,0.000005348461,0.00007805501,0.000009006694,0.000002298071,0.00001977522,0.00004261589,0.0002568249,0.0001727443,0.9981943,0.0002776198,0.0009313074],"study_design_scores_gemma":[0.000006298179,0.000008480801,0.0001276719,0.000006702669,0.000004468258,0.00006492204,0.00006646003,0.003723917,0.0001294391,0.9940935,0.001761935,0.000006159901],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4612098,0.005905046,0.2774749,0.01184205,0.0009742003,0.00006172562,0.0004513353,0.0001982781,0.2418827],"genre_scores_gemma":[0.9522317,0.00184754,0.01704091,0.0009769726,0.00127478,0.00005645499,0.0002716836,0.000113566,0.02618646],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006166064,"threshold_uncertainty_score":0.02062756,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2389272463","doi":"10.1007/978-0-387-48976-6","title":"Applied Stochastic Processes","year":2007,"lang":"en","type":"book","venue":"Universitext","topic":"Point processes and geometric inequalities","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":"Polytechnique Montréal","funders":"","keywords":"Computer science","authors":[{"name":"Mario Lefebvre","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04626533050441438,"gpt":0.269495875630922,"spread":0.2232305451265076,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003801807,0.001458669,0.001040591,0.001686858,0.0006924067,0.002317882,0.000613092,0.0009636116,0.03230926],"category_scores_gemma":[0.001227937,0.0004241489,0.0005196517,0.002924089,0.001428855,0.002273961,0.0008891459,0.003012739,0.01138526],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001371751,"about_ca_system_score_gemma":0.0006497366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001225124,"about_ca_topic_score_gemma":0.002463984,"domain_scores_codex":[0.999749,0.00004822846,0.00001114852,0.00004500805,0.0001326479,0.00001395224],"domain_scores_gemma":[0.9997492,0.0001129663,0.0000158718,0.00004405111,0.00006185753,0.0000160602],"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":[0.000009139466,0.00002793651,0.0000926044,0.0001284979,0.00001418713,0.00003584383,0.0001428448,0.001657772,0.0004054751,0.7358986,0.1685037,0.09308348],"study_design_scores_gemma":[0.000004830828,0.00001409162,0.0004016815,0.00009618897,0.000009151195,0.0001049823,0.00003797434,0.003752591,0.0002378782,0.5870861,0.4082445,0.00001014883],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.002715497,0.05752168,0.07084396,0.006203868,0.004308121,0.00004405722,0.0005727556,0.0003650504,0.857425],"genre_scores_gemma":[0.04721574,0.03045288,0.01583996,0.001257674,0.004744523,0.0001225668,0.0005689476,0.0003708584,0.8994269],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.03230926,"threshold_uncertainty_score":0.1080853,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4298873666","doi":"10.48550/arxiv.1012.0294","title":"Sharp bounds on the rate of convergence of the empirical covariance\\n matrix","year":2010,"lang":"","type":"article","venue":"arXiv (Cornell University)","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":48,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Combinatorics; Random matrix; Distribution (mathematics); Random variable; Eigenvalues and eigenvectors; Mathematical analysis; Statistics; Physics","authors":[{"name":"Radosław Adamczak","is_ca":false},{"name":"Alexander E. Litvak","is_ca":true},{"name":"Alain Pajor","is_ca":false},{"name":"Nicole Tomczak-Jaegermann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.239910024219452,"gpt":0.2603989154465774,"spread":0.02048889122712538,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.02136027,0.00444921,0.002300187,0.0032399,0.002320036,0.004220685,0.006571222,0.003295128,0.009367543],"category_scores_gemma":[0.1301311,0.00150772,0.00304667,0.00193609,0.00835621,0.009630623,0.008983442,0.01095484,0.003711039],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004697993,"about_ca_system_score_gemma":0.003201985,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0039848,"about_ca_topic_score_gemma":0.003236972,"domain_scores_codex":[0.9919104,0.003226997,0.0003372914,0.001443457,0.001914871,0.001167014],"domain_scores_gemma":[0.8918117,0.08339521,0.004510107,0.009249269,0.0080478,0.002985927],"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":[0.000869353,0.0002180688,0.007989787,0.001001124,0.0003048986,0.001062478,0.0009268195,0.09634297,0.01012365,0.8233747,0.01863865,0.0391475],"study_design_scores_gemma":[0.00008175378,0.0002161738,0.004193051,0.0005473341,0.0001230707,0.0009319047,0.0003159821,0.6100218,0.006676264,0.3669619,0.009730259,0.0002005404],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0635822,0.009516981,0.8627439,0.009316392,0.0009429255,0.0003349019,0.001804164,0.00162743,0.05013116],"genre_scores_gemma":[0.7339759,0.01758062,0.1801046,0.005029003,0.002411349,0.003780963,0.004672072,0.002592548,0.04985306],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02136027,"threshold_uncertainty_score":0.1129653,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2037923516","doi":"10.1016/j.aim.2006.08.006","title":"The sharp Sobolev and isoperimetric inequalities split twice","year":2006,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Isoperimetric inequality; Mathematics; Inequality; Affine transformation; Mathematical analysis; Sobolev space; Pure mathematics","authors":[{"name":"Jie Xiao","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02889929179335651,"gpt":0.3219597156679886,"spread":0.2930604238746321,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00344913,0.002005568,0.001632598,0.003268221,0.001376844,0.004442591,0.001846726,0.002954281,0.01266441],"category_scores_gemma":[0.01544483,0.0008869818,0.00163519,0.002005557,0.005262971,0.0128928,0.004774755,0.01056284,0.001723973],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001659054,"about_ca_system_score_gemma":0.0006702438,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009904532,"about_ca_topic_score_gemma":0.0005565881,"domain_scores_codex":[0.998066,0.0005905207,0.00009377856,0.0004091071,0.0005811695,0.0002593656],"domain_scores_gemma":[0.9917939,0.004489493,0.0008013023,0.000875507,0.001207348,0.0008324085],"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":[0.00007153836,0.00001810407,0.0002606637,0.00008884449,0.00002427528,0.00009026528,0.0002107399,0.0006776456,0.001549056,0.9838684,0.001860673,0.01127974],"study_design_scores_gemma":[0.00001575073,0.00002308874,0.0004744974,0.00002281955,0.00001928815,0.0001525406,0.00009333888,0.008113066,0.0007206142,0.9852706,0.005077593,0.00001667805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1453552,0.01990508,0.6253925,0.01969826,0.003408961,0.00007801295,0.0005552812,0.000407744,0.185199],"genre_scores_gemma":[0.837705,0.01204639,0.05994172,0.00510646,0.005759669,0.0002156421,0.0005574225,0.0005698479,0.07809782],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01266441,"threshold_uncertainty_score":0.04236668,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2592990960","doi":"10.1090/s0002-9947-2014-06032-7","title":"Optimal transportation with capacity constraints","year":2014,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Pointwise; Mathematical optimization; Degeneracy (biology); Duality (order theory); Transportation theory; Regular polygon; Domain (mathematical analysis); Constraint (computer-aided design); Function (biology); Feasible region; Convex function; Combinatorics; Mathematical analysis","authors":[{"name":"Jonathan Korman","is_ca":true},{"name":"Robert J. McCann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02929287118892174,"gpt":0.2739768052314991,"spread":0.2446839340425774,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001774214,0.00082387,0.001076897,0.0008059469,0.0008177087,0.002179972,0.001670486,0.002087921,0.009301538],"category_scores_gemma":[0.005580195,0.0005194194,0.0008689587,0.001493357,0.002112236,0.004610489,0.001990979,0.001981377,0.0008604652],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003479024,"about_ca_system_score_gemma":0.002235015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004650548,"about_ca_topic_score_gemma":0.002891471,"domain_scores_codex":[0.9985746,0.0005523312,0.00004867443,0.0003657941,0.0002456173,0.0002129471],"domain_scores_gemma":[0.9988618,0.0005937622,0.0001159386,0.0001280359,0.0001844102,0.0001160399],"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":[0.00002003439,0.00001106245,0.00008013771,0.00005909987,0.00001250866,0.00003493809,0.00002754755,0.1577278,0.000310888,0.8339158,0.002704225,0.005096061],"study_design_scores_gemma":[0.00001358459,0.00001926902,0.0001220428,0.00003319379,0.000008428358,0.00003737072,0.00004006739,0.3604517,0.0003171745,0.6324309,0.006510251,0.00001595868],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03306149,0.001557274,0.9032135,0.003835122,0.0001979646,0.00006980822,0.0007941787,0.0001519184,0.05711874],"genre_scores_gemma":[0.7683352,0.002881405,0.188585,0.0007497457,0.0004127133,0.0003701975,0.0008834028,0.0002661828,0.03751623],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009301538,"threshold_uncertainty_score":0.03111678,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2617911618","doi":"10.1007/s12220-018-0002-x","title":"The Dual Orlicz–Minkowski Problem","year":2018,"lang":"en","type":"article","venue":"Journal of Geometric Analysis","topic":"Point processes and geometric inequalities","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":"Memorial University of Newfoundland","funders":"Hubei University; Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Measure (data warehouse); Dual (grammatical number); Curvature; Minkowski space; Mathematical analysis; Differential geometry; Pure mathematics; Geometry","authors":[{"name":"Baocheng Zhu","is_ca":true},{"name":"Sudan Xing","is_ca":true},{"name":"Deping Ye","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03990236615403207,"gpt":0.3288530988496766,"spread":0.2889507326956445,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001505455,0.0007299302,0.001051031,0.001531095,0.001347605,0.003206079,0.001509995,0.001907426,0.008670787],"category_scores_gemma":[0.00459433,0.0004005753,0.0006583015,0.001046078,0.002586982,0.005979177,0.002676579,0.003657917,0.0006467825],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001581249,"about_ca_system_score_gemma":0.0009881972,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001030239,"about_ca_topic_score_gemma":0.0006576938,"domain_scores_codex":[0.9991942,0.0003557779,0.00003575807,0.0001707628,0.0001420867,0.0001014102],"domain_scores_gemma":[0.9987749,0.0005653719,0.0001755631,0.0001062412,0.0001722357,0.0002055322],"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":[0.00002314551,0.000009803587,0.00006255974,0.0000184937,0.000005108492,0.00001672724,0.00002214912,0.000624355,0.0001052988,0.9967213,0.0009101172,0.001480817],"study_design_scores_gemma":[0.00001298045,0.000006772472,0.00008354394,0.000008271252,0.000004654186,0.00003901338,0.00004352149,0.007003395,0.00009102539,0.9903243,0.002377129,0.000005556971],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3091043,0.005612685,0.3772251,0.02857105,0.001325517,0.00008380756,0.00113862,0.0001191619,0.2768198],"genre_scores_gemma":[0.8995674,0.002250688,0.0372691,0.001787995,0.001687537,0.0001155337,0.0006809281,0.0001252635,0.05651548],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008670787,"threshold_uncertainty_score":0.02900666,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2135239029","doi":"10.1016/j.jmaa.2015.02.084","title":"New Orlicz affine isoperimetric inequalities","year":2015,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Affine transformation; Isoperimetric inequality; Infimum and supremum; Unit sphere; Pure mathematics; Regular polygon; Convex body; Affine geometry of curves; Surface (topology); Minkowski space; Mixed volume; Mathematical analysis; Combinatorics; Affine space; Geometry; Convex hull","authors":[{"name":"Deping Ye","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09403265321271481,"gpt":0.3537877015850213,"spread":0.2597550483723065,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003287615,0.001905933,0.00141516,0.005390401,0.001748291,0.004885091,0.0026176,0.002065091,0.01197831],"category_scores_gemma":[0.008146206,0.0008293675,0.002299863,0.003592609,0.002699132,0.01099551,0.004899374,0.009098385,0.001947359],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002059126,"about_ca_system_score_gemma":0.000749329,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006761051,"about_ca_topic_score_gemma":0.0006855602,"domain_scores_codex":[0.9978046,0.0004710192,0.0001521502,0.000514887,0.0007988241,0.000258534],"domain_scores_gemma":[0.996389,0.001579372,0.000471015,0.0003359264,0.0007326881,0.0004919848],"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":[0.00002853378,0.00001934217,0.0001920312,0.00006192867,0.00001629716,0.00006579579,0.00009336942,0.0009862275,0.001008223,0.9833717,0.002611757,0.01154484],"study_design_scores_gemma":[0.00001329937,0.0000468371,0.0007721105,0.0000383374,0.00004231851,0.0003852287,0.00009148142,0.02625858,0.001116683,0.9488545,0.02233545,0.00004526565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04654716,0.009481908,0.766683,0.004658676,0.002782696,0.0001135526,0.0009477618,0.0002735809,0.1685117],"genre_scores_gemma":[0.5949214,0.01396666,0.239744,0.003909536,0.006917025,0.0004208873,0.001443818,0.0006196766,0.138057],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01197831,"threshold_uncertainty_score":0.04007143,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2037284570","doi":"10.1016/s0047-259x(02)00008-8","title":"Consistent estimation of the intensity function of a cyclic Poisson process","year":2003,"lang":"en","type":"article","venue":"Journal of Multivariate Analysis","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":39,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Estimator; Poisson distribution; Compound Poisson process; Applied mathematics; Bounded function; Function (biology); Point process; Nonparametric statistics; Kernel (algebra); Cox process; Parametric statistics; Poisson process; Statistics; Mathematical analysis; Discrete mathematics","authors":[{"name":"Roelof Helmers","is_ca":false},{"name":"I Wayan Mangku","is_ca":false},{"name":"Ričardas Zitikis","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04411018950823276,"gpt":0.3275862277143085,"spread":0.2834760382060758,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0104552,0.0008612768,0.001923586,0.002443433,0.0004805646,0.002127967,0.00373302,0.002710321,0.001697339],"category_scores_gemma":[0.05518453,0.001430676,0.001081648,0.001788741,0.002745487,0.003584098,0.002761374,0.002894634,0.0002567326],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001479386,"about_ca_system_score_gemma":0.001800528,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003376292,"about_ca_topic_score_gemma":0.001995904,"domain_scores_codex":[0.9976596,0.001192048,0.00009154356,0.0004441681,0.000376414,0.0002361677],"domain_scores_gemma":[0.9627945,0.02893748,0.003054263,0.002605592,0.001880966,0.0007272974],"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":[0.000566911,0.0001808097,0.02259579,0.0002189142,0.0003967975,0.0002569976,0.0003053594,0.4459412,0.008293709,0.4544786,0.002189824,0.06457511],"study_design_scores_gemma":[0.0000275544,0.00003252569,0.001863537,0.00001682131,0.00003126256,0.00004286435,0.00002096788,0.9121473,0.0009762662,0.08448766,0.0003224668,0.00003072272],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1199105,0.0002393688,0.8780857,0.0005479682,0.00003639819,0.00003282433,0.000129281,0.0001450806,0.0008729109],"genre_scores_gemma":[0.9017319,0.0005543099,0.09450242,0.0001870084,0.0002017562,0.0001008203,0.0005449248,0.0001149603,0.002061907],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.0104552,"threshold_uncertainty_score":0.05529308,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2053344281","doi":"10.1007/bf02771981","title":"Distance sets of well-distributed planar sets for polygonal norms","year":2006,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":37,"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","funders":"","keywords":"Mathematics; Unit sphere; Set (abstract data type); Planar; Ball (mathematics); Combinatorics; Space (punctuation); Discrete mathematics; Mathematical analysis; Computer science","authors":[{"name":"Sergeĭ Konyagin","is_ca":false},{"name":"Izabella Łaba","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03996690653201354,"gpt":0.3143720368026502,"spread":0.2744051302706367,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005128831,0.001652939,0.002877608,0.007033319,0.002744155,0.009093936,0.005994116,0.002244994,0.006400833],"category_scores_gemma":[0.03463569,0.001500419,0.002175163,0.003833794,0.007637142,0.01101303,0.008440848,0.005618819,0.0005432112],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004660513,"about_ca_system_score_gemma":0.001217165,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002304717,"about_ca_topic_score_gemma":0.001427058,"domain_scores_codex":[0.9945816,0.001545902,0.0003830387,0.001024327,0.001990766,0.0004742616],"domain_scores_gemma":[0.9637731,0.02403977,0.003732898,0.001592278,0.003708238,0.003153667],"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":[0.00005382074,0.00002484546,0.0003025781,0.00004736568,0.00002265072,0.00004573634,0.0003161519,0.004873789,0.0003938347,0.9910598,0.0002912242,0.002568163],"study_design_scores_gemma":[0.00002720696,0.00003502998,0.000384362,0.00002433977,0.00001960973,0.0001026696,0.0002322478,0.03785043,0.0003726195,0.9597197,0.001205525,0.00002640495],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3302804,0.001472682,0.6352782,0.001830664,0.0002001968,0.000179156,0.0007471686,0.0001710926,0.02984047],"genre_scores_gemma":[0.8876193,0.001515195,0.09201275,0.000493584,0.0005892373,0.0007750306,0.001268476,0.0002037128,0.01552278],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009093936,"threshold_uncertainty_score":0.03381455,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2155715867","doi":"10.1007/s10107-003-0470-y","title":"Geometry of homogeneous convex cones, duality mapping, and optimal self-concordant barriers","year":2004,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Dual cone and polar cone; Duality (order theory); Homogeneous; Cone (formal languages); Context (archaeology); Regular polygon; Convex cone; Geometry; Automorphism; Rank (graph theory); Combinatorics; Convex analysis; Convex optimization; Algorithm","authors":[{"name":"Van Anh Truong","is_ca":false},{"name":"Levent Tun�el","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03386349876368103,"gpt":0.2926265617804549,"spread":0.2587630630167738,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001589932,0.0006619983,0.0008354512,0.001737415,0.001272409,0.003620418,0.001426453,0.0009664513,0.00351082],"category_scores_gemma":[0.004324731,0.0004657549,0.0006419852,0.0009265128,0.002855134,0.00377466,0.001920432,0.002032196,0.0002782134],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00245162,"about_ca_system_score_gemma":0.001349959,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001846063,"about_ca_topic_score_gemma":0.001357869,"domain_scores_codex":[0.9992238,0.0003019907,0.00002691365,0.0001191223,0.0002012577,0.0001267836],"domain_scores_gemma":[0.9981586,0.0007116696,0.0003591433,0.0001055223,0.0003426388,0.0003223699],"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":[0.00001064363,0.000009499567,0.00007589075,0.000009959771,0.000002941005,0.00001107536,0.00003012715,0.003423281,0.0001555223,0.9950057,0.0003633437,0.0009020527],"study_design_scores_gemma":[0.00001367641,0.00001645551,0.0001922959,0.000009498649,0.000004823165,0.0000286034,0.00006982646,0.03659875,0.0002764976,0.9617113,0.001071435,0.000006810028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4078362,0.002042543,0.5006387,0.0042905,0.0001676921,0.0001087913,0.0005364293,0.0001166226,0.08426249],"genre_scores_gemma":[0.9467624,0.001143221,0.03316342,0.0002576219,0.0001985064,0.0001219389,0.0002429856,0.00006233106,0.01804741],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003620418,"threshold_uncertainty_score":0.01778781,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1974029608","doi":"10.1002/cjs.11244","title":"Variable selection for inhomogeneous spatial point process models","year":2015,"lang":"en","type":"article","venue":"Canadian Journal of Statistics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":true},"ca_institutions":"","funders":"","keywords":"Point process; Pairwise comparison; Lasso (programming language); Covariate; Cluster analysis; Spatial analysis; Model selection; Computer science; Elastic net regularization; Variable (mathematics); Regularization (linguistics); Feature selection; Mathematics; Statistics; Econometrics; Machine learning; Artificial intelligence","authors":[{"name":"Yue Yu","is_ca":false},{"name":"Ji Meng Loh","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09473365924001302,"gpt":0.3011368031278214,"spread":0.2064031438878083,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.023194,0.001129297,0.002066347,0.00210986,0.0008329835,0.0018423,0.003297698,0.001448003,0.003081856],"category_scores_gemma":[0.04742545,0.0006349501,0.001983403,0.002609335,0.002898875,0.001920639,0.002804273,0.003284125,0.0004934808],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001556846,"about_ca_system_score_gemma":0.001615744,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005307672,"about_ca_topic_score_gemma":0.003537264,"domain_scores_codex":[0.9836161,0.01290129,0.0003578675,0.001484,0.001157671,0.000483094],"domain_scores_gemma":[0.9608139,0.03259671,0.002336388,0.002003856,0.001785987,0.0004631922],"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":[0.0001440444,0.00007530346,0.007604285,0.0001722956,0.0002649308,0.0003132003,0.0002996947,0.5389637,0.0006263599,0.4070028,0.002651568,0.04188187],"study_design_scores_gemma":[0.00002437694,0.00002549536,0.0005822867,0.00002203983,0.00001808371,0.00002401913,0.00002988839,0.890278,0.0001617837,0.108039,0.000782009,0.00001302933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01084363,0.0001358779,0.9880713,0.0002730266,0.00002081771,0.00003714707,0.00008142841,0.00008608219,0.0004507301],"genre_scores_gemma":[0.6207239,0.0006642301,0.3717249,0.0004820453,0.0002937666,0.000746133,0.001103311,0.0001608161,0.004100862],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.023194,"threshold_uncertainty_score":0.1226631,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2172758441","doi":"10.1016/j.aam.2015.09.015","title":"The logarithmic Minkowski inequality for non-symmetric convex bodies","year":2015,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Minkowski space; Regular polygon; Inequality; Minkowski addition; Minkowski's theorem; Minkowski inequality; Pure mathematics; Convex body; Mixed volume; Mathematical analysis; Combinatorics; Rearrangement inequality; Linear inequality; Mathematical physics; Geometry; Convex optimization","authors":[{"name":"Alina Stancu","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0756796761499367,"gpt":0.3564699797214048,"spread":0.2807903035714681,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002201282,0.001108765,0.001102287,0.002240467,0.001122347,0.003393887,0.001836856,0.001361095,0.006198721],"category_scores_gemma":[0.01041215,0.0005100947,0.001192415,0.001609774,0.004702068,0.01020096,0.003324535,0.004995345,0.0009134763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001952115,"about_ca_system_score_gemma":0.0006967955,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001025535,"about_ca_topic_score_gemma":0.0007406606,"domain_scores_codex":[0.9987372,0.0004325733,0.00007170167,0.0002565258,0.0003532752,0.0001488752],"domain_scores_gemma":[0.995572,0.002744992,0.0004630627,0.0002974026,0.0005705635,0.0003519041],"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":[0.00004291286,0.000008358394,0.0002289901,0.00006860386,0.000008980496,0.00005594304,0.00007725442,0.003266274,0.0009078963,0.9895214,0.0009010252,0.004912466],"study_design_scores_gemma":[0.00000562182,0.00001284883,0.0003099362,0.00001483256,0.000006433528,0.00006236704,0.00003803179,0.0207897,0.0004132773,0.9763523,0.001983814,0.00001082092],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1388975,0.005832091,0.7474185,0.007937212,0.0006440584,0.00004727955,0.0005451528,0.0001614544,0.09851686],"genre_scores_gemma":[0.9135114,0.004165521,0.04310454,0.001406229,0.0009776041,0.0001243681,0.0006065438,0.0002159074,0.03588785],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006198721,"threshold_uncertainty_score":0.02073681,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3104778585","doi":"","title":"Lp geominimal surface areas and their inequalities","year":2016,"lang":"en","type":"article","venue":"","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Inequality; Surface (topology); Geography; Mathematics; Geometry; Mathematical analysis","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.06810219935410461,"gpt":0.2956010659628328,"spread":0.2274988666087281,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001488796,0.0008167163,0.0005462975,0.002362707,0.00093326,0.002006678,0.001136482,0.0007357888,0.007900853],"category_scores_gemma":[0.006047293,0.0003599769,0.001035285,0.001486364,0.002744291,0.005046906,0.00246956,0.003155048,0.001077186],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001491574,"about_ca_system_score_gemma":0.0005194645,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00136052,"about_ca_topic_score_gemma":0.0009392416,"domain_scores_codex":[0.9986236,0.0003591098,0.00006894869,0.000324957,0.0004086499,0.0002146714],"domain_scores_gemma":[0.9967819,0.001830022,0.000300529,0.0002330709,0.0006062875,0.0002481599],"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":[0.00001903654,0.000008151021,0.0004138039,0.00006913675,0.00001026134,0.00006498241,0.00009872452,0.002837617,0.001232344,0.9814814,0.001366622,0.01239785],"study_design_scores_gemma":[0.000008720477,0.00005586715,0.001728663,0.00004875232,0.00001761717,0.0002347286,0.0001249245,0.04182315,0.001354707,0.9380532,0.01652955,0.00002003657],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1335744,0.01033272,0.6078304,0.005204306,0.0005573221,0.0001015341,0.001066652,0.0003192192,0.2410133],"genre_scores_gemma":[0.8681064,0.006154779,0.08688494,0.00127193,0.001511798,0.0003784171,0.00100351,0.00031198,0.0343762],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007900853,"threshold_uncertainty_score":0.02643102,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1680081660","doi":"10.1016/j.aam.2012.09.003","title":"A flow approach to the <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:mo>−</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> Minkowski problem","year":2012,"lang":"lv","type":"article","venue":"Advances in Applied Mathematics","topic":"Point processes and geometric inequalities","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":"Concordia University","funders":"","keywords":"Uniqueness; Mathematics; Unit sphere; Minkowski space; Unit disk; Norm (philosophy); Planar; Combinatorics; Mathematical analysis; Geometry; Computer science; Computer graphics (images)","authors":[{"name":"Mohammad N. Ivaki","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02373070491946275,"gpt":0.2565127795228791,"spread":0.2327820746034164,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002217185,0.001229583,0.0007810549,0.002851761,0.001867103,0.0034711,0.002185338,0.001449202,0.03136319],"category_scores_gemma":[0.005086611,0.0006681679,0.002453236,0.00189483,0.002318471,0.006696973,0.003173452,0.004445838,0.00530476],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002350217,"about_ca_system_score_gemma":0.001862713,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004697137,"about_ca_topic_score_gemma":0.00409727,"domain_scores_codex":[0.999014,0.0004023734,0.00006034804,0.0002175877,0.0002213844,0.00008427869],"domain_scores_gemma":[0.9986047,0.0006910271,0.00009847253,0.0001749808,0.0003096958,0.0001210803],"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":[0.000007856412,0.00001490254,0.00003920631,0.00003436367,0.00000537872,0.00002275408,0.00007866335,0.001590148,0.0001283005,0.9846565,0.005671461,0.007750364],"study_design_scores_gemma":[0.000006175777,0.00001379728,0.00006376416,0.00002702781,0.000006460701,0.00003152878,0.00003099862,0.01750751,0.0001374406,0.9597456,0.02242022,0.000009257589],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.002011882,0.0009340195,0.9481319,0.00240736,0.0004298861,0.00007615169,0.000427682,0.0001704828,0.04541065],"genre_scores_gemma":[0.126623,0.004017357,0.7726682,0.001625748,0.002151876,0.0005477059,0.001393718,0.001007385,0.08996505],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03136319,"threshold_uncertainty_score":0.1049203,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2962838217","doi":"10.1016/j.aam.2016.06.007","title":"Affine isoperimetric inequalities in the functional Orlicz–Brunn–Minkowski theory","year":2016,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Memorial University of Newfoundland","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Isoperimetric inequality; Mathematics; Affine transformation; Pure mathematics; Type (biology); Regular polygon; Inequality; Mathematical analysis; Geometry","authors":[{"name":"Umut Caglar","is_ca":false},{"name":"Deping Ye","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05478600815400669,"gpt":0.3126195291504167,"spread":0.25783352099641,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00318074,0.001282069,0.001259649,0.003857245,0.001470259,0.003272926,0.001786198,0.001298569,0.00663644],"category_scores_gemma":[0.006232936,0.0004580829,0.001581458,0.002403999,0.003760946,0.007937611,0.003125192,0.005568319,0.0007564804],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002643029,"about_ca_system_score_gemma":0.0006986641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001686162,"about_ca_topic_score_gemma":0.0008830749,"domain_scores_codex":[0.9985643,0.0005176986,0.00008828894,0.0002680582,0.0004153604,0.0001462812],"domain_scores_gemma":[0.9972787,0.001305543,0.000394468,0.0001808734,0.0005244976,0.0003158982],"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":[0.0000128227,0.000005239,0.0001123819,0.00003815201,0.000009111534,0.00002281503,0.0000507091,0.0009965772,0.0003417422,0.9952886,0.0005027218,0.002619088],"study_design_scores_gemma":[0.000006819115,0.00001977383,0.0005401196,0.00002082345,0.00001338517,0.00007447379,0.00004967704,0.01328351,0.0002956417,0.981737,0.003941477,0.00001731507],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1587724,0.01468487,0.6361359,0.008538585,0.001133944,0.00008584447,0.001089429,0.0001821189,0.179377],"genre_scores_gemma":[0.8723515,0.009463995,0.07614679,0.001563308,0.002376813,0.0002001358,0.0009583743,0.0002054748,0.03673352],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00663644,"threshold_uncertainty_score":0.02220112,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2344467193","doi":"10.1051/978-2-7598-1085-7.c002","title":"1 Analyse en composantes principales","year":2020,"lang":"fr","type":"book-chapter","venue":"","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Institut de Valorisation des Données; Fonds De La Recherche Scientifique - FNRS; Mitacs; Israel Science Foundation; National Security Agency; Agence Nationale de la Recherche; Nederlandse Organisatie voor Wetenschappelijk Onderzoek; Association Nationale de la Recherche et de la Technologie; AXA Research Fund; Division of Mathematical Sciences; Heriot-Watt University","keywords":"Art","authors":[],"retraction":null,"screen_n_in":null,"score":{"opus":0.09612058489281472,"gpt":0.3137595709153669,"spread":0.2176389860225522,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003027394,0.002986004,0.001882775,0.003680273,0.00330208,0.007814184,0.001211978,0.001501802,0.04927993],"category_scores_gemma":[0.01084767,0.0009925015,0.004136389,0.004238604,0.003465957,0.00590329,0.003029579,0.008287333,0.0255169],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003503515,"about_ca_system_score_gemma":0.001498021,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004301851,"about_ca_topic_score_gemma":0.003226415,"domain_scores_codex":[0.9959453,0.0008916022,0.0002203126,0.00123016,0.001285583,0.0004270462],"domain_scores_gemma":[0.9944373,0.002752084,0.0003455809,0.0007172091,0.001512915,0.0002349169],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.0002897403,0.0001254574,0.001704081,0.0006064071,0.0001520837,0.0005298434,0.001335105,0.002559828,0.004035151,0.8775144,0.02152957,0.08961832],"study_design_scores_gemma":[0.00004046458,0.0001387603,0.00369143,0.0003039545,0.0002090366,0.001300854,0.0009952276,0.009917835,0.005301347,0.6868571,0.2911861,0.00005791632],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.06463388,0.01679184,0.3018766,0.004934912,0.003328599,0.000236069,0.003335943,0.001634589,0.6032277],"genre_scores_gemma":[0.3115001,0.02084191,0.1518868,0.00147035,0.005369463,0.0008914517,0.007463421,0.003478161,0.4970983],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.04927993,"threshold_uncertainty_score":0.1648578,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3104695756","doi":"","title":"INTRINSIC VOLUMES OF INSCRIBED RANDOM POLYTOPES IN SMOOTH CONVEX BODIES","year":2010,"lang":"en","type":"article","venue":"UCL Discovery (University College London)","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Calgary","funders":"","keywords":"Inscribed figure; Polytope; Regular polygon; Combinatorics; Mathematics; Convex polytope; Geometry; Convex set; Convex optimization","authors":[{"name":"Imre Bárány","is_ca":false},{"name":"Ferenc Fodor","is_ca":true},{"name":"Viktor Vígh","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.01664416234103755,"gpt":0.2329160434557766,"spread":0.216271881114739,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002569065,0.0006222341,0.0009264987,0.003198527,0.000719844,0.002761239,0.002128605,0.0008973219,0.001768569],"category_scores_gemma":[0.01684193,0.001163825,0.0008059895,0.001124109,0.00483203,0.003047607,0.002506584,0.001447318,0.0002633945],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00236819,"about_ca_system_score_gemma":0.0004894373,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00135592,"about_ca_topic_score_gemma":0.001053246,"domain_scores_codex":[0.9985481,0.0004736891,0.00007119849,0.0002645088,0.0004443231,0.0001981646],"domain_scores_gemma":[0.9878108,0.007697055,0.00209656,0.0007346664,0.0008020583,0.000858881],"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":[0.0001995807,0.00003898419,0.006190872,0.0001177625,0.00007036957,0.0002305274,0.0003111188,0.3456273,0.003960456,0.6329136,0.0008059299,0.009533578],"study_design_scores_gemma":[0.00001803105,0.00005204968,0.005539619,0.00004631643,0.0000185787,0.0001613712,0.0001356604,0.7023717,0.001955153,0.2886154,0.001045812,0.00004024336],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5701756,0.0009502735,0.4187107,0.0005171982,0.00004476729,0.0000453623,0.0004225549,0.0001689012,0.008964515],"genre_scores_gemma":[0.9702677,0.0005353859,0.02544904,0.00006587266,0.00008690399,0.0001267084,0.0004771296,0.00009755263,0.002893772],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003198527,"threshold_uncertainty_score":0.01718253,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2069126375","doi":"10.4153/cmb-2009-049-0","title":"Two Volume Product Inequalities and Their Applications","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false},"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Convex body; Regular polygon; Product (mathematics); Combinatorics; Class (philosophy); Volume (thermodynamics); Pure mathematics; Geometry; Convex hull; Physics; Thermodynamics","authors":[{"name":"Alina Stancu","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03336336365499824,"gpt":0.2782561389474308,"spread":0.2448927752924326,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00221289,0.0008274245,0.0007038949,0.00320514,0.001002894,0.002190825,0.001386165,0.001023203,0.006625814],"category_scores_gemma":[0.007345117,0.0004705606,0.001114682,0.001271007,0.003231527,0.003930194,0.004107512,0.003425625,0.0005381448],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002077176,"about_ca_system_score_gemma":0.0004678422,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001425946,"about_ca_topic_score_gemma":0.000904386,"domain_scores_codex":[0.9987534,0.0003964995,0.00004469713,0.0002190072,0.0004254917,0.0001608623],"domain_scores_gemma":[0.9957461,0.00249202,0.0004169389,0.0001971415,0.0006987355,0.0004491632],"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":[0.00003378835,0.00001196552,0.0004325831,0.00006486395,0.00001416812,0.0000953062,0.0001266447,0.003628162,0.0009844607,0.9818632,0.001354916,0.01139002],"study_design_scores_gemma":[0.00001412966,0.00005439039,0.001100122,0.00007041722,0.00002085752,0.0003001989,0.0001199396,0.05012916,0.001497939,0.932168,0.01449614,0.00002885987],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.148319,0.01136509,0.641999,0.006349244,0.00101504,0.00010024,0.0004160083,0.0002562279,0.1901802],"genre_scores_gemma":[0.8996282,0.003653276,0.06320912,0.0007596445,0.001064718,0.0001392781,0.0003016086,0.0002109863,0.03103316],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006625814,"threshold_uncertainty_score":0.02216554,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2031925521","doi":"10.1016/j.ecolmodel.2014.06.002","title":"Incorporating the mechanisms underlying inter-tree competition into a random point process model to improve spatial tree pattern analysis in forestry","year":2014,"lang":"en","type":"article","venue":"Ecological Modelling","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université Laval","funders":"Fonds de recherche du Québec – Nature et technologies; Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Point process; Tree (set theory); Scots pine; Competition (biology); Point pattern analysis; Common spatial pattern; Ecology; Computer science; Mathematics; Statistics; Pinus <genus>","authors":[{"name":"Astrid Genet","is_ca":true},{"name":"Pavel Grabarnik","is_ca":false},{"name":"O. P. Sekretenko","is_ca":false},{"name":"David Pothier","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06975510072717399,"gpt":0.311267031164262,"spread":0.241511930437088,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003210569,0.000803113,0.001522612,0.001042026,0.0006464654,0.001416963,0.002842779,0.002500596,0.001765163],"category_scores_gemma":[0.008889629,0.0008227014,0.001839173,0.001375147,0.001721786,0.003303358,0.001777287,0.002514096,0.0002576765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001085553,"about_ca_system_score_gemma":0.001204004,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.008803491,"about_ca_topic_score_gemma":0.00875909,"domain_scores_codex":[0.9990164,0.0006006804,0.00004537431,0.0001239017,0.0001178572,0.00009575238],"domain_scores_gemma":[0.9954888,0.003510597,0.0003680852,0.0002287109,0.0002437205,0.0001600525],"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":[0.00002025119,0.00003599562,0.001058319,0.00003602275,0.00004526175,0.00006052741,0.00005846412,0.8849069,0.0006891513,0.1082073,0.0002104322,0.004671415],"study_design_scores_gemma":[0.000003154161,0.000006856091,0.00008467834,0.000002394082,0.000006075834,0.000006329254,0.000004680797,0.9682357,0.0000435775,0.03150635,0.00009561286,0.000004625439],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04019859,0.0003800193,0.9581163,0.0002921489,0.00004070716,0.00001751762,0.0000444139,0.00004124639,0.0008690184],"genre_scores_gemma":[0.8573349,0.0009820723,0.1369521,0.0001403965,0.0001275847,0.0001248135,0.0001342023,0.00009279136,0.004111157],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008803491,"threshold_uncertainty_score":0.01750451,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2147061648","doi":"10.4153/cjm-2009-060-7","title":"Tail Bounds for the Stable Marriage of Poisson and Lebesgue","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Voronoi diagram; Lebesgue integration; Center (category theory); Combinatorics; Stable marriage problem; Dimension (graph theory); Upper and lower bounds; Poisson distribution; Discrete mathematics; Mathematical analysis; Geometry","authors":[{"name":"Christopher Hoffman","is_ca":false},{"name":"Alexander E. Holroyd","is_ca":true},{"name":"Yuval Peres","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05877906896796111,"gpt":0.295427354710098,"spread":0.2366482857421369,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006848362,0.001083381,0.001630375,0.003134983,0.001893665,0.003212715,0.003638224,0.001756076,0.0111378],"category_scores_gemma":[0.04647369,0.0007217199,0.00123422,0.001913379,0.003950701,0.006304989,0.00374261,0.003085743,0.001088223],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003867921,"about_ca_system_score_gemma":0.001087975,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002122908,"about_ca_topic_score_gemma":0.001274667,"domain_scores_codex":[0.9979443,0.0006877391,0.00006885042,0.0003249581,0.0005494813,0.00042459],"domain_scores_gemma":[0.972305,0.01824615,0.002916111,0.001465689,0.002889349,0.002177731],"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":[0.0001775654,0.00008354201,0.002954343,0.000150766,0.00005855635,0.000227506,0.000578079,0.05430112,0.001840628,0.9273099,0.002681023,0.009636912],"study_design_scores_gemma":[0.00003193049,0.00009996102,0.0009430029,0.0000723546,0.00003121182,0.0001502976,0.0002086143,0.4286007,0.0009209259,0.5670359,0.001860918,0.00004421574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.322147,0.003163881,0.6350546,0.003575689,0.0001905608,0.0001510138,0.0004164271,0.000432841,0.03486799],"genre_scores_gemma":[0.9759064,0.001249534,0.01411091,0.0003743011,0.0002170058,0.0001793289,0.0002264432,0.0001133134,0.007622876],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0111378,"threshold_uncertainty_score":0.0372597,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2070154657","doi":"10.4153/cmb-2010-067-5","title":"The Mean Width of Circumscribed Random Polytopes","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false},"ca_institutions":"","funders":"Hungarian Scientific Research Fund","keywords":"Mathematics; Combinatorics; Polytope; Regular polygon; Convex body; Intersection (aeronautics); Infinity; Convex polytope; Mathematical analysis; Convex hull; Geometry; Convex set; Convex optimization","authors":[{"name":"Károly J. Böröczky","is_ca":false},{"name":"Rolf Schneider","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.02257054007901126,"gpt":0.2643768186028396,"spread":0.2418062785238284,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003725252,0.0005409807,0.001254418,0.001876318,0.0007260958,0.002246769,0.001887403,0.0009137852,0.003055673],"category_scores_gemma":[0.01867584,0.0009204662,0.0006029828,0.0007800984,0.003001618,0.003417081,0.002172573,0.001976754,0.0003299262],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001748268,"about_ca_system_score_gemma":0.0005836872,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001072467,"about_ca_topic_score_gemma":0.0009393016,"domain_scores_codex":[0.9979774,0.0005106819,0.0001052594,0.0005354441,0.0005900587,0.0002811161],"domain_scores_gemma":[0.9824624,0.01132626,0.001856972,0.001349257,0.00142164,0.001583563],"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":[0.0005709864,0.0001423492,0.01230406,0.0003077871,0.0001331028,0.0002876782,0.0003652629,0.2554229,0.02107769,0.686364,0.001648737,0.02137544],"study_design_scores_gemma":[0.00003342814,0.0001466952,0.006634814,0.00009481313,0.00004150984,0.0003025164,0.0002098118,0.7417914,0.008354524,0.2401646,0.002139303,0.00008659616],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4997529,0.001200585,0.4898262,0.0004617907,0.00007550081,0.00005754929,0.0003925514,0.0002613526,0.007971578],"genre_scores_gemma":[0.9509736,0.0005052771,0.04542948,0.0001174591,0.00007692527,0.0001235295,0.0003477232,0.0001103721,0.002315712],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003725252,"threshold_uncertainty_score":0.01970124,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2092588264","doi":"10.4153/cmb-2012-014-5","title":"A Short Proof of Paouris' Inequality","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false},"ca_institutions":"University of Alberta","funders":"Ministerstwo Edukacji i Nauki; Agence Nationale de la Recherche","keywords":"Mathematics; Combinatorics; Euclidean geometry; Isotropy; Norm (philosophy); Geometry; Physics; Law; Quantum mechanics","authors":[{"name":"Radosław Adamczak","is_ca":false},{"name":"Rafał Latała","is_ca":false},{"name":"Alexander E. Litvak","is_ca":true},{"name":"Krzysztof Oleszkiewicz","is_ca":false},{"name":"Alain Pajor","is_ca":false},{"name":"Nicole Tomczak-Jaegermann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07348531351818349,"gpt":0.3130253344404548,"spread":0.2395400209222713,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002340524,0.002085741,0.001248425,0.002869196,0.001127014,0.001813933,0.001457629,0.001698767,0.01412454],"category_scores_gemma":[0.01121668,0.0005757243,0.001992163,0.002369561,0.002568818,0.003578595,0.003333396,0.006520235,0.003780979],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002190357,"about_ca_system_score_gemma":0.001333138,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003359157,"about_ca_topic_score_gemma":0.001807328,"domain_scores_codex":[0.9984133,0.00036241,0.00007395219,0.000272629,0.0006933011,0.0001843726],"domain_scores_gemma":[0.9965525,0.001940522,0.0001493781,0.0002667545,0.0008677792,0.0002231468],"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":[0.0001005378,0.00007015513,0.000686917,0.0006817983,0.00008175866,0.0008770077,0.0002371155,0.004284961,0.004157309,0.8586395,0.08711082,0.04307217],"study_design_scores_gemma":[0.00003309874,0.0001021296,0.001952624,0.0002706514,0.00005643967,0.0007050893,0.00004912982,0.016133,0.001849106,0.8582485,0.1205304,0.00006992004],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0185577,0.04452502,0.6217186,0.04483498,0.02178093,0.0003193207,0.006265092,0.001976189,0.2400222],"genre_scores_gemma":[0.4995886,0.03006192,0.2613706,0.03055715,0.0234356,0.001489072,0.003175675,0.001911439,0.1484101],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01412454,"threshold_uncertainty_score":0.04725128,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2104606439","doi":"10.1007/s00440-013-0518-8","title":"A central limit theorem for projections of the cube","year":2013,"lang":"en","type":"article","venue":"Probability Theory and Related Fields","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Alfred P. Sloan Foundation; National Science Foundation","keywords":"Central limit theorem; Mathematics; Randomness; Unit cube; Limit (mathematics); Cube (algebra); Grassmannian; Subspace topology; Dimension (graph theory); Combinatorics; Measure (data warehouse); Haar measure; Manifold (fluid mechanics); Discrete mathematics; Pure mathematics; Mathematical analysis; Statistics","authors":[{"name":"Grigoris Paouris","is_ca":false},{"name":"Peter Pivovarov","is_ca":false},{"name":"Joel Zinn","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0311862035675898,"gpt":0.270667521059757,"spread":0.2394813174921672,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.008677081,0.001278392,0.002581225,0.003892445,0.002092894,0.006032052,0.00356978,0.001953651,0.01019669],"category_scores_gemma":[0.02307418,0.0008992861,0.002797981,0.003721576,0.007517184,0.01234889,0.006983023,0.007340251,0.001004206],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002985026,"about_ca_system_score_gemma":0.002901269,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003212402,"about_ca_topic_score_gemma":0.001462666,"domain_scores_codex":[0.9966975,0.00134001,0.0001371564,0.0005368404,0.0009107037,0.0003778247],"domain_scores_gemma":[0.9807091,0.01392059,0.0009048273,0.0008448215,0.002345791,0.001274859],"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":[0.00001111862,0.000005799243,0.00006825262,0.00002432564,0.00001003348,0.00002007532,0.00004585403,0.0008879533,0.0001465445,0.9971488,0.0004399821,0.001191239],"study_design_scores_gemma":[0.00000915048,0.000008070966,0.00007837782,0.00001060857,0.000006329243,0.00003043915,0.00001919788,0.01217428,0.00009750213,0.9867481,0.0008086048,0.000009300537],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07540136,0.003981304,0.8679605,0.005412286,0.0005722251,0.00006695516,0.0005464958,0.0002846222,0.04577431],"genre_scores_gemma":[0.8041059,0.007232353,0.1532458,0.002705037,0.002710175,0.0006831354,0.0009630056,0.0005318818,0.02782278],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01019669,"threshold_uncertainty_score":0.04588932,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4405318004","doi":"10.1016/j.neucom.2024.129161","title":"Multivariate Hawkes Spatio-Temporal Point Process with attention for point of interest recommendation","year":2024,"lang":"en","type":"article","venue":"Neurocomputing","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McMaster University","funders":"Key Research and Development Program of Zhejiang Province; National Key Research and Development Program of China; National Natural Science Foundation of China","keywords":"Point process; Multivariate statistics; Computer science; Point (geometry); Process (computing); Point of interest; Artificial intelligence; Econometrics; Machine learning; Statistics; Mathematics","authors":[{"name":"Xin Zhang","is_ca":false},{"name":"He Weng","is_ca":false},{"name":"Yuxin Wei","is_ca":false},{"name":"Dongjing Wang","is_ca":false},{"name":"Jia Chen","is_ca":true},{"name":"Tingting Liang","is_ca":false},{"name":"Yuyu Yin","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1254290639747935,"gpt":0.3656657196751855,"spread":0.240236655700392,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002845904,0.001124622,0.003501249,0.001473194,0.0006800288,0.001763954,0.003768393,0.00311838,0.002596244],"category_scores_gemma":[0.01151693,0.001062234,0.001578379,0.002964046,0.001264701,0.003577155,0.002038716,0.002656716,0.0005665184],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001505707,"about_ca_system_score_gemma":0.001190454,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01384803,"about_ca_topic_score_gemma":0.0124679,"domain_scores_codex":[0.9986589,0.0003383578,0.00008572404,0.0004371713,0.000294554,0.0001852916],"domain_scores_gemma":[0.9946139,0.003833764,0.0003916928,0.000391665,0.000570057,0.0001987958],"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":[0.0006282116,0.00024787,0.004150226,0.0004480917,0.000398209,0.0002719661,0.0002103052,0.7835109,0.003235091,0.07870512,0.004518795,0.1236752],"study_design_scores_gemma":[0.000006419734,0.00001524667,0.0002460775,0.000005247806,0.00001824198,0.00001132507,0.000006611308,0.991519,0.0001257442,0.007912681,0.0001267694,0.000006593708],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03329817,0.001573025,0.9633269,0.0005156316,0.0001433049,0.00004145936,0.0001771559,0.0001720438,0.0007522718],"genre_scores_gemma":[0.8934573,0.002071725,0.09540725,0.000362899,0.0006685833,0.0001771186,0.0006214174,0.00006711241,0.00716665],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01384803,"threshold_uncertainty_score":0.02753484,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W160156832","doi":"10.1007/bfb0107214","title":"Random aspects of high-dimensional convex bodies","year":2000,"lang":"en","type":"book-chapter","venue":"Lecture notes in mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":25,"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":"Regular polygon; Mathematics; Computer science; Geometry","authors":[{"name":"Alexander E. Litvak","is_ca":true},{"name":"Nicole Tomczak-Jaegermann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.03177507155697712,"gpt":0.2723462983477004,"spread":0.2405712267907232,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009442843,0.0008315555,0.001215506,0.002163049,0.001089238,0.003420924,0.001543454,0.001350036,0.005719105],"category_scores_gemma":[0.004484304,0.0008163704,0.001105618,0.001569851,0.003581005,0.004067888,0.002027416,0.002688821,0.0004736687],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001372289,"about_ca_system_score_gemma":0.0004576292,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001369835,"about_ca_topic_score_gemma":0.001156453,"domain_scores_codex":[0.9992811,0.000210296,0.00003003096,0.0001304135,0.0002714988,0.00007672895],"domain_scores_gemma":[0.9974789,0.001562628,0.0002946179,0.0001953013,0.000263163,0.0002053462],"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":[0.000006017426,0.000006123774,0.0001278867,0.00002706057,0.000008856109,0.00002630538,0.00006003168,0.006207416,0.0002269594,0.9908792,0.0006327396,0.001791319],"study_design_scores_gemma":[0.000004791953,0.000006587372,0.0003698486,0.000009193302,0.000005433683,0.00005458923,0.00004156809,0.02621886,0.0001072795,0.9715922,0.001583111,0.00000655426],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2268205,0.009279523,0.6186697,0.004348068,0.0004363121,0.00009017829,0.0007268222,0.0002023921,0.1394264],"genre_scores_gemma":[0.9154408,0.004966891,0.03322546,0.0004056582,0.001153641,0.0001649499,0.0006463462,0.0001557201,0.04384049],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005719105,"threshold_uncertainty_score":0.01913226,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2323760949","doi":"10.4153/cmb-2005-048-0","title":"Angle Measures and Bisectors in Minkowski Planes","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false},"ca_institutions":"","funders":"","keywords":"Mathematics; Measure (data warehouse); Minkowski space; Arc (geometry); Plane (geometry); Geometry; Euclidean geometry; Brass; Combinatorics; Mathematical analysis; Chemistry","authors":[{"name":"Nico Düvelmeyer","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04273572158104608,"gpt":0.2689831979101893,"spread":0.2262474763291432,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001941803,0.0006911495,0.0004636399,0.003546293,0.0009130787,0.00358413,0.0008557955,0.0005188771,0.004966824],"category_scores_gemma":[0.006799193,0.000305438,0.0004456628,0.002953056,0.003640114,0.004482806,0.002137405,0.001658966,0.00079111],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001157796,"about_ca_system_score_gemma":0.0003724628,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001350518,"about_ca_topic_score_gemma":0.0006275582,"domain_scores_codex":[0.9978892,0.0006010142,0.00016197,0.0003131291,0.0007762816,0.0002583599],"domain_scores_gemma":[0.9967396,0.001000409,0.0008840063,0.0001753362,0.0008622618,0.00033833],"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":[0.00001585168,0.000004247074,0.0002878591,0.00001463969,0.000003599478,0.00001828627,0.0001322174,0.0003937445,0.0003536604,0.995858,0.0001904966,0.002727397],"study_design_scores_gemma":[0.00001320311,0.00004129786,0.001680329,0.00004870325,0.00001086336,0.0001742873,0.0004703066,0.004439885,0.001480925,0.97884,0.01278027,0.00001981776],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4965704,0.005419314,0.3323371,0.00162207,0.000430202,0.00007405689,0.0004437933,0.0001839603,0.1629192],"genre_scores_gemma":[0.9656246,0.001537457,0.02701755,0.0001796559,0.0001674238,0.00005699863,0.0001624316,0.00006173257,0.005192255],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004966824,"threshold_uncertainty_score":0.01661569,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2331451895","doi":"10.1177/0004867416642023","title":"Occipital bending in schizophrenia","year":2016,"lang":"en","type":"article","venue":"Australian & New Zealand Journal of Psychiatry","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto; Centre for Addiction and Mental Health","funders":"University of Toronto; Mayo Clinic","keywords":"Occipital lobe; Schizophrenia (object-oriented programming); White matter; Psychology; Psychosis; Medicine; Psychiatry; Audiology; Neuroscience; Magnetic resonance imaging; Radiology","authors":[{"name":"Jerome J. Maller","is_ca":false},{"name":"Rodney J. Anderson","is_ca":false},{"name":"Richard H. Thomson","is_ca":false},{"name":"Zafiris J. Daskalakis","is_ca":true},{"name":"Jeffrey V. Rosenfeld","is_ca":false},{"name":"Paul B. Fitzgerald","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04205597348495035,"gpt":0.3185459868715835,"spread":0.2764900133866332,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003391425,0.0002374326,0.0001726555,0.001292065,0.0003568601,0.0003587506,0.0001403563,0.0002710693,0.002658587],"category_scores_gemma":[0.001494062,0.0001671429,0.0001860526,0.0006328546,0.000644872,0.0002705712,0.0005572325,0.0002074119,0.0001553693],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002638446,"about_ca_system_score_gemma":0.0002408497,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004308232,"about_ca_topic_score_gemma":0.004789088,"domain_scores_codex":[0.999836,0.00003349771,0.00001788229,0.00003188057,0.00004188385,0.00003896196],"domain_scores_gemma":[0.9991543,0.00009617774,0.0005598953,0.00003731533,0.00005753819,0.00009474825],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.0004110333,0.0000212941,0.9855725,0.00005431005,0.00003454778,0.0006940656,0.0005993131,0.000100507,0.003242803,0.0001971518,0.00009898902,0.008973473],"study_design_scores_gemma":[0.000003878662,0.00006274211,0.9975519,0.00001467499,0.000009839455,0.001509054,0.0004032057,0.00006369176,0.0001250651,0.000167496,0.00008492537,0.000003528492],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9992037,0.0002246719,0.00006689566,0.0000352635,0.000002070161,0.000003221152,0.00006036981,0.00000157687,0.0004022261],"genre_scores_gemma":[0.9997188,0.0001202855,0.00004633551,0.000006179288,0.000002430089,0.000001247476,0.00004298871,5.707944e-7,0.0000610807],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004308232,"threshold_uncertainty_score":0.008893847,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1976667512","doi":"10.1007/s00039-001-8231-7","title":"Geometry of families of random projections of symmetric convex bodies","year":2001,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":24,"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; Convex body; Regular polygon; Combinatorics; Euclidean geometry; Dimension (graph theory); Geometry; Mixed volume; Convex geometry; Mathematical analysis; Convex set; Convex hull; Convex optimization","authors":[{"name":"Piotr Mankiewicz","is_ca":false},{"name":"Nicole Tomczak-Jaegermann","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04388516778755391,"gpt":0.2773499614221049,"spread":0.233464793634551,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002919984,0.001242124,0.00183366,0.003971249,0.001834188,0.004988848,0.002617893,0.001760126,0.005784805],"category_scores_gemma":[0.01140169,0.001613067,0.001959712,0.00175971,0.005118756,0.005577212,0.003737138,0.002803563,0.0005143856],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00298354,"about_ca_system_score_gemma":0.001039379,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002367772,"about_ca_topic_score_gemma":0.001195419,"domain_scores_codex":[0.9974713,0.0009450074,0.0001052078,0.0004616033,0.0007631531,0.0002536962],"domain_scores_gemma":[0.990052,0.005046169,0.00186188,0.0005124286,0.001251397,0.001276039],"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":[0.00002503709,0.00001231706,0.0003318279,0.00002350735,0.00002079333,0.00005219652,0.0001067326,0.005800291,0.0003288678,0.9912683,0.0004342914,0.001595835],"study_design_scores_gemma":[0.00002271184,0.00003703282,0.0009275732,0.00001964272,0.00001333193,0.0001799145,0.0001246954,0.06070397,0.00035129,0.9363978,0.001198903,0.00002308664],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.357651,0.001215204,0.6148217,0.001966065,0.0001140688,0.0001218455,0.0009330531,0.0002087742,0.0229683],"genre_scores_gemma":[0.9428076,0.001286028,0.04409821,0.0002580494,0.0002690533,0.0002448112,0.00100557,0.0001241547,0.009906564],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005784805,"threshold_uncertainty_score":0.02164721,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}