{"id":"W2798416688","doi":"10.1017/s0956792519000123","title":"Nonlinear systems coupled through multi-marginal transport problems","year":2019,"lang":"en","type":"preprint","venue":"European Journal of Applied Mathematics","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Uniqueness; Convexity; Nonlinear system; Balanced flow; Simple (philosophy); Dimension (graph theory); Applied mathematics; Mathematics; Mathematical optimization; Flow (mathematics); Dynamical systems theory; Computer science; Mathematical analysis; Physics; Geometry; Economics; Pure mathematics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.004990086,0.000873072,0.002524897,0.0004691607,0.0001056328,0.0002401951,0.001578736,0.0002980301,0.0001230814],"category_scores_gemma":[0.0002181008,0.0006671187,0.0009910145,0.0005277279,0.0000999272,0.0001346658,0.0003405955,0.00230453,0.000224863],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001339078,"about_ca_system_score_gemma":0.0002616752,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004125558,"about_ca_topic_score_gemma":0.000001833207,"domain_scores_codex":[0.9937249,0.0001685409,0.003446871,0.0005364958,0.001557457,0.0005656829],"domain_scores_gemma":[0.9922003,0.000406968,0.005066648,0.001297542,0.0007927927,0.0002358231],"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":[0.001134062,0.02851154,0.0004005645,0.1227572,0.02886587,0.004317536,0.09620269,0.4594754,0.005010031,0.1985419,0.05166109,0.003122122],"study_design_scores_gemma":[0.03182158,0.002875741,0.0004253106,0.0318277,0.02909693,0.002708867,0.02822016,0.5319222,0.0009075688,0.1364788,0.1909021,0.0128131],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06276447,0.001470161,0.8919045,0.00008771128,0.001773057,0.001822543,0.00007621317,0.0001413416,0.03995995],"genre_scores_gemma":[0.2897452,0.0005763267,0.7062283,0.00007267982,0.001329404,0.00001684516,0.00006226708,0.0004310551,0.001537963],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2269807,"threshold_uncertainty_score":0.9999972,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06150288305228375,"score_gpt":0.277827207654149,"score_spread":0.2163243246018652,"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."}}