{"id":"W7098026583","doi":"","title":"Hölder continuity of optimal multivalued mappings. Preprint at www.math.toronto/mccann. 33","year":2010,"lang":"en","type":"article","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Preprint; Probability measure; Measure (data warehouse); Euclidean geometry; Euclidean distance; Absolute continuity; Probability distribution","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0008377166,0.0002365052,0.0005770384,0.00007814539,0.00008129729,0.00003604385,0.0003506677,0.0002201711,0.00705364],"category_scores_gemma":[0.0008813984,0.0001745794,0.0003305932,0.0002502404,0.00009040428,0.0001529082,0.0003035458,0.0002681307,0.000157828],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007297941,"about_ca_system_score_gemma":0.00003629756,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000576434,"about_ca_topic_score_gemma":0.00213473,"domain_scores_codex":[0.9981678,0.00004610031,0.0005888448,0.0003928059,0.0004776178,0.0003268677],"domain_scores_gemma":[0.9981798,0.0002190647,0.0003310487,0.0008037473,0.000322369,0.0001439531],"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":[0.0002147856,0.0025916,0.03391382,0.0005280679,0.00154301,0.00001704477,0.006912652,0.00009905983,0.1903179,0.6921798,0.06080331,0.01087898],"study_design_scores_gemma":[0.01248166,0.0007521426,0.2462902,0.0003183688,0.002206159,0.0001180814,0.01036779,0.1085863,0.1246152,0.04462065,0.4449193,0.004724188],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.917613,0.00004850433,0.009432504,0.00009476499,0.0002194332,0.0003473933,0.00001146018,0.0001031102,0.07212988],"genre_scores_gemma":[0.91873,0.000005298285,0.05460295,0.00003821138,0.0000905566,0.00002023908,0.00000594801,0.00002241506,0.02648434],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6475591,"threshold_uncertainty_score":0.993854,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02151660848530146,"score_gpt":0.2907370177187894,"score_spread":0.2692204092334879,"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."}}