{"id":"W2141810975","doi":"10.5802/jep.29","title":"The intrinsic dynamics of optimal transport","year":2016,"lang":"en","type":"preprint","venue":"Journal de l’École polytechnique — Mathématiques","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Space (punctuation); Set (abstract data type); Compact space; Construct (python library); Topology (electrical circuits); Mathematics; Dynamics (music); Mathematical optimization; Transportation theory; Computer science; Pure mathematics; Physics; Combinatorics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.003588751,0.0006073146,0.001248544,0.0006259709,0.0003130185,0.0002463553,0.001564797,0.0009725343,0.0001176124],"category_scores_gemma":[0.0006878629,0.000365989,0.001115268,0.0004741174,0.0002133393,0.0001836679,0.0004039998,0.002410421,0.000005024001],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005266102,"about_ca_system_score_gemma":0.0006238162,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003546596,"about_ca_topic_score_gemma":0.00009272872,"domain_scores_codex":[0.9957117,0.0003717061,0.001918294,0.000390632,0.0009252356,0.0006824405],"domain_scores_gemma":[0.9946797,0.0008403023,0.002339356,0.001163219,0.0007261382,0.0002513236],"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":[0.0004365845,0.00113168,0.009288095,0.00258315,0.003141156,0.0003765484,0.00229337,0.000337775,0.001126623,0.8763577,0.02872797,0.07419938],"study_design_scores_gemma":[0.0003302291,0.000199973,0.003607662,0.001736375,0.0006642525,0.000371291,0.000275387,0.003549813,0.003418463,0.9824315,0.00269578,0.0007192679],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.157511,0.001434396,0.8293831,0.00428195,0.0004918709,0.0009769741,0.0001510955,0.0003322576,0.005437421],"genre_scores_gemma":[0.8326247,0.005229124,0.1584598,0.0002342416,0.0008546603,0.0002239732,0.00002388283,0.0001911227,0.002158494],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6751138,"threshold_uncertainty_score":0.999891,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01573799591771514,"score_gpt":0.2865965773592815,"score_spread":0.2708585814415664,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}