{"id":"W2074403900","doi":"10.1007/s11228-014-0310-7","title":"The Monge–Kantorovich Metric on Multimeasures and Self–Similar Multimeasures","year":2014,"lang":"en","type":"article","venue":"Set-Valued and Variational Analysis","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":false,"ca_institutions":"Acadia University","funders":"","keywords":"Mathematics; Metric (unit); Completeness (order theory); Metric space; Space (punctuation); Probability measure; Fisher information metric; Stein's method; Markov chain; Equivalence of metrics; Extension (predicate logic); Set (abstract data type); Discrete mathematics; Pure mathematics; Combinatorics; Intrinsic metric; Convex metric space; Mathematical analysis; Computer science; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002121772,0.001183284,0.00138405,0.003257363,0.002087496,0.002978639,0.001676168,0.002609059,0.003668648],"category_scores_gemma":[0.005332531,0.0006696644,0.001125313,0.001431504,0.004973779,0.006998392,0.00308131,0.002963466,0.0003868302],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001588397,"about_ca_system_score_gemma":0.0007641077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001347713,"about_ca_topic_score_gemma":0.0009399268,"domain_scores_codex":[0.9989395,0.0004413508,0.00005295929,0.0002231756,0.0002278647,0.000115273],"domain_scores_gemma":[0.9972796,0.0009415925,0.0005361119,0.0003261924,0.0004175843,0.000498879],"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":[0.000009083978,0.000007829833,0.0001077019,0.00001812804,0.0000105676,0.00003025819,0.00006837763,0.001261635,0.0003099127,0.9966344,0.0003685438,0.001173494],"study_design_scores_gemma":[0.000003204329,0.000009229687,0.000153219,0.000005657685,0.000002632411,0.00005254629,0.00003477223,0.00765729,0.0000738643,0.9912919,0.0007049051,0.0000107279],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5213686,0.006353825,0.408349,0.005618813,0.000936831,0.00007381476,0.0004925541,0.0001943055,0.05661227],"genre_scores_gemma":[0.9413043,0.002188638,0.03623706,0.0009137774,0.001069385,0.00007626724,0.0003961587,0.0001311195,0.01768331],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003668648,"threshold_uncertainty_score":0.01227283,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0330838813459778,"score_gpt":0.2859627129001348,"score_spread":0.252878831554157,"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."}}