{"meta":{"page":1,"per_page":50,"max_per_page":100,"total":20,"total_is_capped":false,"direct_labels_cover":0,"predictions_cover":20,"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":"983b8ec17a3b","filters":{"venue":"Annales de la faculté des sciences de Toulouse Mathématiques"}},"results":[{"id":"W2138802207","doi":"10.5802/afst.1132","title":"Prékopa–Leindler type inequalities on Riemannian manifolds, Jacobi fields, and optimal transport","year":2006,"lang":"fr","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":64,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Ricci curvature; Riemannian manifold; Pure mathematics; Connection (principal bundle); Manifold (fluid mechanics); Convexity; Sobolev inequality; Mathematical analysis; Logarithm; Curvature; Sobolev space; Geometry","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":0.06107422897019417,"gpt":0.3377176144842111,"spread":0.276643385514017,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003468521,0.00226548,0.001345133,0.00287676,0.001804154,0.002895003,0.002519883,0.003336198,0.01100622],"category_scores_gemma":[0.008727483,0.0006406881,0.002005004,0.001399536,0.003275006,0.006836419,0.002819961,0.004583488,0.001118001],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.005795263,"about_ca_system_score_gemma":0.002531271,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.008514604,"about_ca_topic_score_gemma":0.006535087,"domain_scores_codex":[0.9987484,0.0004560815,0.00005668596,0.0002165502,0.0002361922,0.0002860786],"domain_scores_gemma":[0.9957128,0.002240877,0.0006315095,0.0002659217,0.000655061,0.0004939127],"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":[0.00004165202,0.00002318297,0.000390738,0.0001118496,0.00002588833,0.0001142969,0.0001065245,0.009728381,0.0007769678,0.9826981,0.002846421,0.003135856],"study_design_scores_gemma":[0.00001816423,0.00006616188,0.0009045564,0.0001061898,0.00002549858,0.0001304529,0.0001571648,0.1096957,0.0005489971,0.8833637,0.004945205,0.00003819902],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2099422,0.0171384,0.5391467,0.03092371,0.001422841,0.0002226078,0.001882505,0.0003342458,0.1989868],"genre_scores_gemma":[0.8283864,0.007948289,0.06389277,0.002627737,0.001397818,0.0004755636,0.001154197,0.0003391434,0.09377801],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01100622,"threshold_uncertainty_score":0.0420478,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2325451489","doi":"10.5802/afst.1131","title":"Representations of non-negative polynomials having finitely many zeros","year":2008,"lang":"lv","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":28,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Finitely-generated abelian group; Algebra over a field","authors":[{"name":"Murray Marshall","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1305873692078621,"gpt":0.3984623344213633,"spread":0.2678749652135012,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006634529,0.001136361,0.0006499218,0.001518183,0.0007490959,0.003455019,0.001234655,0.0008938314,0.01373185],"category_scores_gemma":[0.002887395,0.0003397065,0.0006733853,0.0008944673,0.002006343,0.002758196,0.001683127,0.002181407,0.00234895],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001307809,"about_ca_system_score_gemma":0.0004884562,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007820585,"about_ca_topic_score_gemma":0.0007438989,"domain_scores_codex":[0.9992938,0.0001316352,0.00002860082,0.0001521728,0.0001869458,0.0002068202],"domain_scores_gemma":[0.9987779,0.0003559758,0.0002601739,0.0001200558,0.0002490809,0.0002367989],"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":[0.0001099972,0.00004778301,0.0002734101,0.00006120196,0.00001104402,0.0002242559,0.000352697,0.001898979,0.001983501,0.9837314,0.002130224,0.009175682],"study_design_scores_gemma":[0.00006173905,0.0001120184,0.0006309664,0.00004916636,0.00001486955,0.0004209001,0.0004389968,0.02823346,0.001680373,0.9614748,0.00684009,0.00004274137],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6338269,0.001058569,0.2285384,0.002817435,0.0006573907,0.00007002768,0.0008487556,0.0005264166,0.1316562],"genre_scores_gemma":[0.9609299,0.000308146,0.01046985,0.0001931527,0.0002095476,0.00004462239,0.0004419495,0.0001210596,0.02728172],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01373185,"threshold_uncertainty_score":0.04593766,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2329158408","doi":"10.5802/afst.1275","title":"Real holomorphy rings and the complete real spectrum","year":2010,"lang":"lv","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Spectrum (functional analysis); Pure mathematics; Mathematics; Physics","authors":[{"name":"Danielle Gondard","is_ca":false},{"name":"M. Marshall","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05707213800224004,"gpt":0.3304626594685495,"spread":0.2733905214663095,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008044319,0.0005068866,0.0003478248,0.001743405,0.001147854,0.002565797,0.0004782328,0.0004426744,0.01036058],"category_scores_gemma":[0.001663789,0.0002693189,0.0004995398,0.0007535955,0.002923592,0.004499439,0.001918826,0.001089497,0.001952946],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001016195,"about_ca_system_score_gemma":0.0005525332,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006278929,"about_ca_topic_score_gemma":0.0003736852,"domain_scores_codex":[0.9991845,0.0002172336,0.00004542178,0.0001991522,0.0002223811,0.000131336],"domain_scores_gemma":[0.9990715,0.0002527582,0.0001260982,0.0001313267,0.0002206045,0.0001976777],"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":[0.00004060917,0.000009354354,0.0001317779,0.00003087174,0.000006398277,0.0000950176,0.0002142229,0.0003263974,0.0008964021,0.9893554,0.00166559,0.007227924],"study_design_scores_gemma":[0.00001852189,0.00002662231,0.0005611143,0.00002612951,0.000006453041,0.0002537151,0.000247089,0.001663441,0.001216522,0.9740046,0.02196026,0.00001546048],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3921349,0.005186059,0.1782472,0.002860482,0.0006846754,0.00008430285,0.0008828402,0.0008823997,0.4190372],"genre_scores_gemma":[0.9417512,0.001024959,0.01931818,0.0002703557,0.0002950665,0.00004957325,0.0004106656,0.000183958,0.03669606],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01036058,"threshold_uncertainty_score":0.03465956,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2031046576","doi":"10.5802/afst.1143","title":"The pro-unipotent radical of the pro-algebraic fundamental group of a compact Kähler manifold","year":2008,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Trinity College","funders":"Trinity College, University of Cambridge","keywords":"Mathematics; Unipotent; Humanities; Pure mathematics; Philosophy","authors":[{"name":"J. P. Pridham","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09615768236229523,"gpt":0.3488479029653985,"spread":0.2526902206031033,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000265136,0.0003517009,0.0002373599,0.001139025,0.0009159296,0.001229388,0.0004319604,0.0005038782,0.002882095],"category_scores_gemma":[0.000634543,0.0001362544,0.0002644614,0.000353022,0.002737451,0.001965737,0.001196514,0.0008744135,0.000431883],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004434572,"about_ca_system_score_gemma":0.0002631339,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002577625,"about_ca_topic_score_gemma":0.0001816765,"domain_scores_codex":[0.9998103,0.00003793288,0.000006909975,0.00004307181,0.00006386353,0.00003791595],"domain_scores_gemma":[0.9997304,0.0000652997,0.00006817073,0.00002791405,0.00003728245,0.00007084195],"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":[0.00002342823,0.00001452646,0.0004753582,0.00003621979,0.000004350184,0.0002377563,0.0006758871,0.0009155512,0.004401449,0.9869959,0.0003040306,0.005915571],"study_design_scores_gemma":[0.0000172075,0.0001412212,0.001593005,0.00001784394,0.00000901046,0.0009894087,0.000509021,0.005830131,0.002677563,0.9772209,0.01097167,0.00002308689],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9116288,0.0007416965,0.04355818,0.0009214805,0.0001894819,0.00003981111,0.00007443931,0.00006107512,0.04278488],"genre_scores_gemma":[0.9851587,0.0002547931,0.006102591,0.00006929942,0.0002040547,0.0000202635,0.00004839139,0.00001282238,0.008129],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002882095,"threshold_uncertainty_score":0.009641588,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2020188194","doi":"10.5802/afst.1408","title":"Toric and tropical compactifications of hyperplane complements","year":2014,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Compactification (mathematics); Hyperplane; Tropical geometry; Pure mathematics; Mathematics; Theoretical physics; Geometry; Physics","authors":[{"name":"Graham Denham","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04949759856911462,"gpt":0.3369503909005755,"spread":0.2874527923314609,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003012961,0.0003722489,0.000231747,0.000827389,0.0008229889,0.001708944,0.000431181,0.0003274769,0.007640127],"category_scores_gemma":[0.0007830212,0.0001304787,0.0002673714,0.000628323,0.002315368,0.00255621,0.001118885,0.001050213,0.0005788874],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008642314,"about_ca_system_score_gemma":0.0003015487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009038084,"about_ca_topic_score_gemma":0.0008562731,"domain_scores_codex":[0.9997944,0.00004419314,0.000009231073,0.00003613315,0.00007078665,0.00004533332],"domain_scores_gemma":[0.9997607,0.00007545005,0.00005073386,0.00003334419,0.00003791968,0.00004181679],"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":[0.000002791806,0.000001878875,0.00004721675,0.00001593621,0.000001288369,0.00003183133,0.0001034796,0.0002840087,0.0001577291,0.9960684,0.0004275587,0.002857838],"study_design_scores_gemma":[0.000006621283,0.00002851427,0.000669347,0.0000438296,0.000007601393,0.0003272032,0.0004349982,0.002821414,0.0008070405,0.9516739,0.04316632,0.00001323436],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2778126,0.008836959,0.1210384,0.002615927,0.0008591068,0.00006073466,0.0004085229,0.0002733392,0.5880945],"genre_scores_gemma":[0.9467445,0.004179914,0.01500855,0.0002812075,0.0006387539,0.00005156385,0.0002544169,0.00008370812,0.03275742],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007640127,"threshold_uncertainty_score":0.02555877,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1971737420","doi":"10.5802/afst.1134","title":"Classical Poincaré metric pulled back off singularities using a Chow-type theorem and desingularization","year":2006,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"U.S. Naval Academy; Division of Mathematical Sciences; Killam Trusts; Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Pure mathematics; Metric (unit); Gravitational singularity; Generalization; Manifold (fluid mechanics); Ideal (ethics); Type (biology); Mathematical analysis","authors":[{"name":"Caroline Grant Melles","is_ca":false},{"name":"Pierre D. Milman","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09911144377254269,"gpt":0.3633965557145553,"spread":0.2642851119420125,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003261736,0.0006207302,0.0004411587,0.002026781,0.0007836773,0.001296975,0.0006133167,0.0005065579,0.002979623],"category_scores_gemma":[0.000807194,0.0003009295,0.0006085856,0.0004794352,0.001546989,0.001952159,0.001918531,0.0009813145,0.0005012674],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00128254,"about_ca_system_score_gemma":0.000356414,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008858244,"about_ca_topic_score_gemma":0.001269869,"domain_scores_codex":[0.9996676,0.00005070544,0.00001988858,0.0000727381,0.0001422136,0.00004687537],"domain_scores_gemma":[0.999658,0.00003529111,0.00005582632,0.00005020812,0.00008739117,0.0001133347],"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":[0.00001466931,0.00001993566,0.0006058543,0.00003301018,0.00001416515,0.0003543232,0.0003298356,0.002033429,0.006552311,0.9828928,0.0006503016,0.006499381],"study_design_scores_gemma":[0.00002065194,0.0001438263,0.002611326,0.0000276672,0.00002611003,0.0008185449,0.0003850579,0.04059409,0.01047355,0.9334256,0.01142523,0.0000482497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7750642,0.0005870356,0.1656342,0.0007628612,0.0002148421,0.00006338352,0.0001284401,0.0003688291,0.05717626],"genre_scores_gemma":[0.956805,0.0003241147,0.02468666,0.0001361547,0.0001226639,0.00002560014,0.0001351743,0.0001211461,0.01764351],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002979623,"threshold_uncertainty_score":0.009967864,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3153841790","doi":"10.5802/afst.1657","title":"Special polynomials associated with the Painlevé equations I","year":2021,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Nonlinear Waves and Solitons","field":"Physics and Astronomy","cited_by":11,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"","funders":"","keywords":"Mathematics; Pure mathematics; Mathematical physics; Humanities; Philosophy","authors":[{"name":"Hiroshi Umemura","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04595389288787465,"gpt":0.3337938130733424,"spread":0.2878399201854678,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004140591,0.0004582364,0.0005196403,0.001518942,0.001275702,0.002475536,0.000633538,0.0008701941,0.007275213],"category_scores_gemma":[0.002189702,0.0003347346,0.0009975486,0.001094739,0.002179373,0.002527914,0.002170263,0.002173601,0.001292577],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001436219,"about_ca_system_score_gemma":0.000984458,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002070915,"about_ca_topic_score_gemma":0.001492584,"domain_scores_codex":[0.9994186,0.00007485254,0.00003022664,0.00009133386,0.0001770112,0.0002078867],"domain_scores_gemma":[0.9994511,0.00008034797,0.0001320156,0.00006970601,0.0001458161,0.000121027],"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":[0.00001836791,0.00001245808,0.0003324517,0.00003285097,0.000004912108,0.0001720977,0.000219199,0.0008687089,0.001905356,0.9899128,0.001227766,0.005293106],"study_design_scores_gemma":[0.00001867991,0.00002933736,0.000732765,0.00002439982,0.000007681296,0.0006466273,0.0002279106,0.00920154,0.001996279,0.9785541,0.008531563,0.00002920229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5723686,0.001894985,0.2137966,0.002881404,0.000837595,0.0001211118,0.0004691721,0.0005272405,0.2071032],"genre_scores_gemma":[0.9460134,0.0008163949,0.01922366,0.000209603,0.0003323345,0.00005114272,0.0002186304,0.0001205903,0.03301428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007275213,"threshold_uncertainty_score":0.02433807,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2994382855","doi":"10.5802/afst.1604","title":"On the Tits alternative for <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi mathvariant=\"italic\">PD</mml:mi> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> groups","year":2019,"lang":"lv","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche","keywords":"Rank (graph theory); Group (periodic table); Mathematics; Combinatorics; Physics; Quantum mechanics","authors":[{"name":"Michel Boileau","is_ca":false},{"name":"Steven Boyer","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0408468654479248,"gpt":0.2922977032729424,"spread":0.2514508378250175,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002283668,0.0007182813,0.0007173485,0.00119623,0.002976147,0.00251334,0.0008413815,0.001541385,0.0185949],"category_scores_gemma":[0.00446781,0.0004519668,0.001959316,0.0007527996,0.006245377,0.005907836,0.006564265,0.004180856,0.003858183],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001428812,"about_ca_system_score_gemma":0.001166876,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001630344,"about_ca_topic_score_gemma":0.00201596,"domain_scores_codex":[0.9971264,0.0008009942,0.0001582324,0.000567688,0.000741814,0.0006048416],"domain_scores_gemma":[0.9972267,0.0009072886,0.000283657,0.0006501233,0.0005141368,0.0004181629],"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":[0.00002972235,0.000009310336,0.0001283972,0.00002002879,0.000005174264,0.00007415493,0.0002123169,0.0002075528,0.0005854449,0.9948516,0.001885029,0.001991191],"study_design_scores_gemma":[0.00002744265,0.00008672985,0.0002444505,0.00002934714,0.00001656897,0.0002323642,0.0003185823,0.003863865,0.001934872,0.9768893,0.0163341,0.00002246262],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2628802,0.001154608,0.3683898,0.01164781,0.001762612,0.000238598,0.0009630892,0.001338088,0.3516254],"genre_scores_gemma":[0.8894817,0.0005836384,0.05538477,0.002072932,0.0005950569,0.0001753521,0.001016675,0.0005574625,0.05013233],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0185949,"threshold_uncertainty_score":0.06220609,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2133112574","doi":"10.5802/afst.1480","title":"Knot complements, hidden symmetries and reflection orbifolds","year":2016,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Mathematisches Forschungsinstitut Oberwolfach; National Science Foundation","keywords":"Homogeneous space; Reflection (computer programming); Knot (papermaking); Mathematics; Pure mathematics; Psychology; Computer science; Geometry; Materials science; Composite material; Programming language","authors":[{"name":"Michel Boileau","is_ca":false},{"name":"Steven Boyer","is_ca":true},{"name":"Radu Cebanu","is_ca":false},{"name":"Genevieve Walsh","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1403818449699385,"gpt":0.4190530114267058,"spread":0.2786711664567674,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008056946,0.0005004485,0.0005183383,0.001258354,0.001273972,0.001819654,0.0006665222,0.0006130008,0.005922181],"category_scores_gemma":[0.001575393,0.0003637673,0.0006790148,0.0005207339,0.003490183,0.004400428,0.003618481,0.001500683,0.0003622668],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008028315,"about_ca_system_score_gemma":0.0005956015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001361629,"about_ca_topic_score_gemma":0.0008961521,"domain_scores_codex":[0.9993004,0.0001095929,0.00003240733,0.0001260334,0.00026101,0.0001705389],"domain_scores_gemma":[0.9992729,0.0002060746,0.000188138,0.0001403034,0.00007139696,0.0001212466],"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":[0.000150203,0.00004764884,0.002951446,0.00006150847,0.00001482534,0.0009620457,0.0007574147,0.004504917,0.006223601,0.9741932,0.0004316596,0.009701507],"study_design_scores_gemma":[0.0001127479,0.0002039518,0.004873551,0.00009376732,0.00004801133,0.001658877,0.002501271,0.02406358,0.009579725,0.9490648,0.0077473,0.00005238034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9441397,0.0002794145,0.01691028,0.0002530844,0.0000608971,0.00002416728,0.00005349876,0.0001039957,0.03817488],"genre_scores_gemma":[0.9945794,0.0001633752,0.00235011,0.0000250379,0.00001867412,0.00001377441,0.00009189498,0.00002311521,0.002734536],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005922181,"threshold_uncertainty_score":0.01981163,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3093373287","doi":"10.5802/afst.1730","title":"On stability of rotational 2D binary Bose–Einstein condensates","year":2023,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Cold Atom Physics and Bose-Einstein Condensates","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Toronto Metropolitan University","funders":"Agence Nationale de la Recherche; Centre Henri Lebesgue","keywords":"Physics; Mathematical physics; Rotational invariance; Angular momentum; Nonlinear system; Quantum mechanics","authors":[{"name":"Rémi Carles","is_ca":false},{"name":"Van Duong Dinh","is_ca":true},{"name":"Hichem Hajaiej","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05659358329184486,"gpt":0.3416212633851305,"spread":0.2850276800932856,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007660435,0.0006533973,0.0007662464,0.001699276,0.001413024,0.001703944,0.0006499939,0.0007784208,0.001754191],"category_scores_gemma":[0.002266482,0.0002576905,0.0005260873,0.0005634567,0.002509984,0.001061627,0.001552123,0.0005039577,0.000217787],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007872974,"about_ca_system_score_gemma":0.0005071435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002971739,"about_ca_topic_score_gemma":0.001422652,"domain_scores_codex":[0.9997588,0.00008571686,0.00001200248,0.00002709943,0.00004980385,0.0000665143],"domain_scores_gemma":[0.9992335,0.0003338999,0.0001679319,0.00005174964,0.00009231435,0.0001206094],"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":[0.0005192039,0.0001327589,0.006862629,0.0002625591,0.0001568117,0.0005494974,0.0007617541,0.2274075,0.04296116,0.7105702,0.00131129,0.008504718],"study_design_scores_gemma":[0.00006359033,0.00009810113,0.002821819,0.00003274686,0.00002642984,0.0001420543,0.0002029031,0.8148484,0.002659967,0.1786003,0.0004522242,0.00005159563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9671012,0.0006138361,0.02360306,0.0006926294,0.00002980931,0.00002323627,0.0001137197,0.00007045015,0.007751886],"genre_scores_gemma":[0.9954026,0.0002789256,0.002431394,0.00004831097,0.00003144324,0.00003043842,0.00007955803,0.00002659222,0.001670704],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002971739,"threshold_uncertainty_score":0.005908906,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1676280088","doi":"10.5802/afst.1176","title":"Two remarks on Kähler homogeneous manifolds","year":2008,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Regina","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Homogeneous; Mathematics; Philosophy; Combinatorics","authors":[{"name":"Bruce Gilligan","is_ca":true},{"name":"Karl Oeljeklaus","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1358352224266917,"gpt":0.3875860816717737,"spread":0.251750859245082,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001433359,0.0004931157,0.0004278365,0.0009646653,0.001440449,0.00124413,0.0008519341,0.001366797,0.01144596],"category_scores_gemma":[0.002833405,0.000150576,0.0005883889,0.0004908394,0.004049771,0.003512908,0.002558134,0.001931904,0.0009643487],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006545232,"about_ca_system_score_gemma":0.0002061906,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007457624,"about_ca_topic_score_gemma":0.0005758818,"domain_scores_codex":[0.9992864,0.0001967123,0.00003914082,0.0001500158,0.0001830784,0.0001446173],"domain_scores_gemma":[0.9985206,0.0006355537,0.0001274245,0.0002123886,0.0002838341,0.000220288],"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":[0.00007144882,0.00002784488,0.0006168081,0.0001617837,0.00001196113,0.0006902837,0.00112929,0.0005731093,0.001791692,0.9681733,0.01776081,0.008991635],"study_design_scores_gemma":[0.00002926836,0.00006978151,0.002576692,0.00008795488,0.00001858218,0.0005878802,0.000909492,0.00125698,0.00236535,0.8872373,0.1048305,0.00003025849],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.259164,0.009114446,0.1588899,0.1326185,0.008875978,0.00009125169,0.0009996089,0.0007744339,0.4294719],"genre_scores_gemma":[0.9031254,0.003668274,0.01670519,0.01070656,0.004810606,0.00007063708,0.000339868,0.0001452657,0.06042813],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01144596,"threshold_uncertainty_score":0.03829056,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2511639312","doi":"10.5802/afst.1708","title":"Restricted volumes on Kähler manifolds","year":2022,"lang":"en","type":"preprint","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"McGill University","funders":"Division of Mathematical Sciences; Tsinghua University; Harvard University; National Science Foundation","keywords":"Conjecture; Mathematics; Pure mathematics; Locus (genetics); Class (philosophy); Hyperkähler manifold; Decomposition; Ricci-flat manifold; Geometry; Computer science; Chemistry","authors":[{"name":"Tristan C. Collins","is_ca":false},{"name":"Valentino Tosatti","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1587593079069452,"gpt":0.4061295532061157,"spread":0.2473702452991705,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003617611,0.0005305816,0.0003427622,0.002121664,0.0008123752,0.001683227,0.0006518389,0.0003931824,0.003636745],"category_scores_gemma":[0.002730081,0.0002706904,0.0003086657,0.0006804013,0.002936794,0.003046627,0.001688602,0.0009362985,0.0003256804],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000814468,"about_ca_system_score_gemma":0.0001926629,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007949845,"about_ca_topic_score_gemma":0.0006375469,"domain_scores_codex":[0.9996011,0.00008998866,0.00001212796,0.00006875976,0.0001363745,0.00009177035],"domain_scores_gemma":[0.9990214,0.0003322093,0.0002372179,0.00008381163,0.00008015183,0.0002451946],"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":[0.00002351215,0.00001338502,0.00172799,0.00003555467,0.00001023134,0.0001343849,0.0004320626,0.004183074,0.001858158,0.9874792,0.000407481,0.003694915],"study_design_scores_gemma":[0.00001249388,0.00003794811,0.003890743,0.00003183336,0.00001340823,0.0004646149,0.0004425097,0.02343118,0.001823116,0.964803,0.005030709,0.00001840881],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9312284,0.0006757771,0.02673385,0.0004177381,0.00004912528,0.00001743639,0.00009476536,0.0001050128,0.04067781],"genre_scores_gemma":[0.9946395,0.000185493,0.001452086,0.0000196617,0.0000667468,0.00001306588,0.00007716221,0.00002683845,0.003519538],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003636745,"threshold_uncertainty_score":0.01216614,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3043838216","doi":"10.5802/afst.1621","title":"On the tangent cones of Aubry sets","year":2020,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Tangent; Bounded function; Mathematics; Hamiltonian (control theory); Cone (formal languages); Pure mathematics; Mathematical analysis; Combinatorics; Geometry; Algorithm; Mathematical optimization","authors":[{"name":"Ke Zhang","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.07097788908979871,"gpt":0.3385042539372604,"spread":0.2675263648474616,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005339602,0.0007923466,0.00047625,0.002222763,0.001276355,0.002101619,0.0008351301,0.0004737215,0.004360419],"category_scores_gemma":[0.002211445,0.000241497,0.000495762,0.0009112365,0.002201338,0.002098554,0.001406377,0.001821903,0.0005779997],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001039356,"about_ca_system_score_gemma":0.000451644,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003946623,"about_ca_topic_score_gemma":0.001985996,"domain_scores_codex":[0.999508,0.000117762,0.00001608577,0.00007364976,0.0001878542,0.00009656808],"domain_scores_gemma":[0.9987368,0.0003566977,0.000247337,0.00006630794,0.0002709912,0.0003219831],"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":[0.00003960519,0.00001966901,0.0005861532,0.0000314628,0.00000762066,0.0001814305,0.0002846351,0.003358607,0.001959045,0.9893799,0.0006917455,0.003460065],"study_design_scores_gemma":[0.00002894467,0.00008444601,0.002334763,0.00004745782,0.00001017365,0.0002674302,0.0003698514,0.06529185,0.001476837,0.9260918,0.003964643,0.00003188979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7872688,0.0009757053,0.143366,0.0007016461,0.000156936,0.00007559675,0.0004313249,0.0001729994,0.06685092],"genre_scores_gemma":[0.9703426,0.0006449112,0.0171714,0.00009714146,0.0001098897,0.00007205184,0.0003373419,0.00006972039,0.01115487],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004360419,"threshold_uncertainty_score":0.01458704,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2067238727","doi":"10.5802/afst.1306","title":"A new characterization of the analytic surfaces in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:msup> <mml:mi>ℂ</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:math> that satisfy the local Phragmén-Lindelöf condition","year":2011,"lang":"lv","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false},"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Variety (cybernetics); Algebraic number; Limit (mathematics); Mathematics; Algorithm; Combinatorics; Mathematical analysis; Statistics","authors":[{"name":"Rüdiger Braun","is_ca":false},{"name":"Reinhold Meise","is_ca":false},{"name":"B. A. Taylor","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.05721665082075702,"gpt":0.2892733390656619,"spread":0.2320566882449049,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001182092,0.001291095,0.0008915676,0.002933624,0.001943404,0.002883006,0.001168511,0.001324969,0.01244518],"category_scores_gemma":[0.003960112,0.0004331756,0.0009368307,0.0008104908,0.002869129,0.00560135,0.003116362,0.003227175,0.002321005],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001399508,"about_ca_system_score_gemma":0.0007377052,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001523399,"about_ca_topic_score_gemma":0.001008041,"domain_scores_codex":[0.9991934,0.0001229317,0.0000339946,0.0002593629,0.0002350677,0.0001554279],"domain_scores_gemma":[0.9981009,0.0005199604,0.0003048764,0.0001913653,0.0005516624,0.0003312907],"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":[0.00007995155,0.00005633637,0.001540483,0.0001408817,0.00002259714,0.0004658412,0.0007826739,0.003758926,0.01179648,0.9574189,0.00517087,0.0187659],"study_design_scores_gemma":[0.00006470484,0.0002641711,0.00355979,0.000108181,0.00005586455,0.001439488,0.001744854,0.08283585,0.01688521,0.8487854,0.0441548,0.0001016303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4236864,0.001971362,0.4005976,0.003896957,0.0003490978,0.0002230558,0.0006735187,0.0007271349,0.1678749],"genre_scores_gemma":[0.9180474,0.001085146,0.03418526,0.0005705797,0.0003383002,0.0002331089,0.0009594156,0.000312395,0.0442683],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01244518,"threshold_uncertainty_score":0.04163331,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4390852184","doi":"10.5802/afst.1817","title":"Geometric optics expansions for quarter-space boundary value problems III: glancing modes and multiple self-interaction","year":2025,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true},"ca_institutions":"","funders":"","keywords":"Quarter (Canadian coin); Space (punctuation); Optics; Boundary value problem; Geometrical optics; Value (mathematics); Boundary (topology); Physics; Mathematics; Geometry; Mathematical analysis; Computer science; Statistics; Geography","authors":[{"name":"Antoine Benoît","is_ca":false}],"retraction":null,"screen_n_in":null,"score":{"opus":0.06567423067292806,"gpt":0.3869290662483763,"spread":0.3212548355754483,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001162375,0.0008554849,0.0005917487,0.001132616,0.0004614055,0.001406541,0.0009003158,0.0008824542,0.004552916],"category_scores_gemma":[0.002889551,0.0002416064,0.0008523063,0.0003278217,0.002430514,0.002458538,0.002511828,0.002248418,0.0005692911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007177876,"about_ca_system_score_gemma":0.0004497161,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003881904,"about_ca_topic_score_gemma":0.0002247656,"domain_scores_codex":[0.9994765,0.0001881294,0.00001946147,0.00005733426,0.0001875255,0.00007107342],"domain_scores_gemma":[0.9988205,0.0005655411,0.000193761,0.0001099858,0.0001891208,0.0001211109],"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":[0.00003860188,0.00002313187,0.0002285269,0.0001099394,0.0000127831,0.0001766747,0.0001873475,0.01854543,0.00665212,0.9642446,0.001236336,0.008544488],"study_design_scores_gemma":[0.00001662709,0.00008308491,0.0005037545,0.00004880892,0.000008857371,0.0003319269,0.0002287189,0.2764047,0.002100687,0.7164322,0.003813274,0.00002734827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1443675,0.001570732,0.8034166,0.002050354,0.0003239105,0.000067451,0.00007384504,0.0002013223,0.04792829],"genre_scores_gemma":[0.8579993,0.001278097,0.1099935,0.0005822632,0.0004331688,0.0001655793,0.0001204152,0.0002720982,0.02915568],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004552916,"threshold_uncertainty_score":0.01523107,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W1525525850","doi":"10.5802/afst.1531","title":"A dual Moser–Onofri inequality and its extensions to higher dimensional spheres","year":2017,"lang":"en","type":"preprint","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"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; University of Victoria","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Stereographic projection; Mathematics; Sobolev space; Gaussian measure; Gaussian curvature; Scalar curvature; Curvature; Duality (order theory); Boundary (topology); Sobolev inequality; Mathematical analysis; SPHERES; Gaussian; Combinatorics; Mathematical physics; Physics; Geometry; Quantum mechanics","authors":[{"name":"Martial Agueh","is_ca":true},{"name":"Shirin Boroushaki","is_ca":true},{"name":"Nassif Ghoussoub","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.1974299588620429,"gpt":0.4318645720632274,"spread":0.2344346132011845,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002217614,0.001217525,0.001146785,0.00275688,0.001471876,0.002250801,0.002361389,0.002121414,0.0144543],"category_scores_gemma":[0.005618864,0.0004630412,0.001850288,0.001006023,0.002779434,0.005941495,0.005011682,0.005003733,0.001527103],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003182015,"about_ca_system_score_gemma":0.001247385,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003582203,"about_ca_topic_score_gemma":0.002032567,"domain_scores_codex":[0.9988715,0.0002649484,0.00005073216,0.0002490128,0.0003285265,0.0002352797],"domain_scores_gemma":[0.9980316,0.0007249606,0.0002527199,0.0002024464,0.000436356,0.0003518792],"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":[0.00002049208,0.00001356733,0.0001973643,0.0000565506,0.000007928106,0.00007014678,0.00005685554,0.002944558,0.0009780714,0.9900288,0.002234187,0.003391479],"study_design_scores_gemma":[0.00001586907,0.00003909882,0.0005578431,0.00005910646,0.00001560199,0.0002393727,0.00007906,0.1110711,0.001261288,0.8768272,0.009803379,0.00003107858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08438244,0.004392962,0.7071147,0.01380012,0.001453414,0.0001233072,0.001134676,0.0002230511,0.1873753],"genre_scores_gemma":[0.7794334,0.004303764,0.1184942,0.003799265,0.00258531,0.0003665339,0.001018559,0.000465815,0.08953317],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0144543,"threshold_uncertainty_score":0.04835445,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W2324474558","doi":"10.5802/afst.1393","title":"Mathematical Models of Abstract Systems: Knowing abstract geometric forms","year":2014,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Homotopy and Cohomology in Algebraic Topology","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal","funders":"","keywords":"Focus (optics); Mathematics; Mathematical structure; Simple (philosophy); Homotopy; Algebra over a field; Computer science; Calculus (dental); Pure mathematics; Mathematics education; Epistemology","authors":[{"name":"Jean‐Pierre Marquis","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.09721383186775315,"gpt":0.3734685613137071,"spread":0.276254729445954,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002220081,0.0007099372,0.0007731789,0.001746449,0.001352481,0.005427307,0.001227129,0.00287417,0.004285853],"category_scores_gemma":[0.006687148,0.0005707445,0.001018945,0.001180817,0.01027424,0.02166969,0.00386609,0.003721648,0.001048298],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001407546,"about_ca_system_score_gemma":0.0007929119,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007555996,"about_ca_topic_score_gemma":0.0004597299,"domain_scores_codex":[0.9985239,0.0005478793,0.00006520385,0.0002950011,0.0004450963,0.000122967],"domain_scores_gemma":[0.9964424,0.001541984,0.0003139677,0.001231937,0.0002545145,0.000215203],"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":[0.000001362469,0.00000261724,0.00008597544,0.00001377276,0.000002270366,0.00001091456,0.0001924988,0.0004980568,0.000059352,0.9975707,0.0003622506,0.001200185],"study_design_scores_gemma":[0.000001378561,0.000004138742,0.00006405293,0.00001312878,0.000002195723,0.0000343423,0.00006144205,0.002201992,0.00007521334,0.9924169,0.005121016,0.000004342393],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1059574,0.008394076,0.7375849,0.02431323,0.0005097899,0.00008148637,0.0006160639,0.000555669,0.1219873],"genre_scores_gemma":[0.8759427,0.004919639,0.1065723,0.001225985,0.0009660164,0.0001609443,0.0005032156,0.0001170747,0.009592158],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005427307,"threshold_uncertainty_score":0.0143376,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W3164631095","doi":"10.5802/afst.1669","title":"Two-parameter unfolding of a parabolic point of a vector field in <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>ℂ</mml:mi> </mml:math> fixing the origin","year":2021,"lang":"lv","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"","keywords":"Mathematics; Bifurcation; Humanities; Geometry; Combinatorics; Physics; Philosophy","authors":[{"name":"Christiane Rousseau","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.04286711869428792,"gpt":0.3090798763144929,"spread":0.2662127576202049,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002226689,0.0004361419,0.0002743009,0.0009388215,0.001001807,0.001211878,0.0004375979,0.0007436083,0.01427642],"category_scores_gemma":[0.0006375639,0.0002594628,0.0004503911,0.0003568201,0.0009709256,0.001418101,0.0008487894,0.0008082064,0.002100869],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0012121,"about_ca_system_score_gemma":0.0005019318,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00128369,"about_ca_topic_score_gemma":0.0005632623,"domain_scores_codex":[0.9998692,0.00002220492,0.000005285121,0.00003209971,0.00003922952,0.00003200455],"domain_scores_gemma":[0.9998317,0.00002445635,0.00002849242,0.00002785611,0.00004444466,0.00004304312],"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":[0.0001186934,0.00006812561,0.001233501,0.00006734438,0.00002028788,0.0007227561,0.0005340155,0.01447696,0.02344573,0.9423841,0.003637785,0.0132908],"study_design_scores_gemma":[0.0000969254,0.0002174521,0.00421446,0.00009092967,0.00002640185,0.001013668,0.000835583,0.2070642,0.02285427,0.7239385,0.03953871,0.0001089098],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.589107,0.0003990082,0.2422811,0.001252656,0.0004468829,0.0001776502,0.0004798524,0.001610891,0.164245],"genre_scores_gemma":[0.9363075,0.0002195415,0.02270111,0.0001647265,0.00006048225,0.0001030345,0.000307529,0.0004937848,0.0396422],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01427642,"threshold_uncertainty_score":0.04775935,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4389071564","doi":"10.5802/afst.1800","title":"Convergence of the Sinkhorn algorithm when the Schrödinger problem has no solution","year":2025,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Université de Lyon; Agence Nationale de la Recherche; Laboratoire d'Excellence Ecofect; Institut national de recherche en informatique et en automatique (INRIA)","keywords":"Convergence (economics); Algorithm; Applied mathematics; Mathematics; Computer science; Economics","authors":[{"name":"Aymeric Baradat","is_ca":false},{"name":"Elias Ventre","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.08507493008879881,"gpt":0.3781760847171022,"spread":0.2931011546283034,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003420132,0.0008431536,0.0008435988,0.0009483945,0.0006893753,0.001279797,0.001417768,0.001958074,0.005418891],"category_scores_gemma":[0.01325134,0.0004276029,0.0009961649,0.0005312045,0.001707692,0.002105041,0.002756771,0.001530372,0.001264052],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000623077,"about_ca_system_score_gemma":0.001282192,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001763267,"about_ca_topic_score_gemma":0.002493854,"domain_scores_codex":[0.9992043,0.0003537468,0.00005399841,0.0001106121,0.000175913,0.0001014868],"domain_scores_gemma":[0.9947581,0.003694504,0.0002468023,0.0004523326,0.0006244389,0.0002238141],"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":[0.0008254978,0.0001973326,0.004029802,0.00033422,0.0001515527,0.0004041271,0.0005310955,0.4800843,0.009908241,0.3802279,0.006014016,0.1172918],"study_design_scores_gemma":[0.00003121579,0.00003872521,0.0001384491,0.00002804455,0.000006888491,0.000028359,0.0000372367,0.9388613,0.001228955,0.05841602,0.001172786,0.00001215486],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02847363,0.0001972227,0.9644181,0.0004192916,0.0000636461,0.00006983412,0.00005739963,0.0003516008,0.005949307],"genre_scores_gemma":[0.2950708,0.0003325548,0.6922929,0.0004261082,0.00007076612,0.0004752116,0.0006095631,0.0006537226,0.01006845],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005418891,"threshold_uncertainty_score":0.01812804,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null},{"id":"W4414748349","doi":"10.5802/afst.1828","title":"<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>T</mml:mi> </mml:math> -Polynomial Convexity and Holomorphic Convexity","year":2025,"lang":"en","type":"article","venue":"Annales de la faculté des sciences de Toulouse Mathématiques","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false},"ca_institutions":"Western University","funders":"","keywords":"Convexity; Holomorphic function; Identity theorem; Class (philosophy); Algebraic number","authors":[{"name":"Blake J. Boudreaux","is_ca":true}],"retraction":null,"screen_n_in":null,"score":{"opus":0.0513071930730179,"gpt":0.3187536299547756,"spread":0.2674464368817577,"validation_status":"score_only:v0-immature-baseline"},"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001343427,0.0006772404,0.001009545,0.001451699,0.002630217,0.005224525,0.001222637,0.001028237,0.02362311],"category_scores_gemma":[0.005697343,0.0005856546,0.001732263,0.001499128,0.004150875,0.00691476,0.003707721,0.00434225,0.003778539],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002595982,"about_ca_system_score_gemma":0.001554967,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005489855,"about_ca_topic_score_gemma":0.006761561,"domain_scores_codex":[0.9982141,0.0002982229,0.000108423,0.0004100729,0.0003611874,0.0006080794],"domain_scores_gemma":[0.996366,0.001399301,0.0004577794,0.0006715993,0.0005226833,0.0005825143],"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":[0.00007751051,0.00003153559,0.0009185813,0.00007442712,0.00001414659,0.0002320253,0.0002929367,0.002116334,0.001942049,0.9731209,0.01054591,0.01063357],"study_design_scores_gemma":[0.00003908168,0.00006595012,0.005824137,0.00009018525,0.00004729741,0.0006837415,0.0007501232,0.02510827,0.0113251,0.8859289,0.0700473,0.00009002783],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.1751258,0.001249826,0.3608866,0.01128232,0.0008287645,0.000201014,0.002089632,0.001049228,0.4472869],"genre_scores_gemma":[0.8697238,0.001939197,0.06692184,0.001463912,0.0007314733,0.0002815866,0.00260997,0.001509765,0.05481853],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.02362311,"threshold_uncertainty_score":0.07902718,"prediction_status":"machine_predicted_unvalidated"},"labels":[],"label_agreement":null}]}