{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001655603,0.0002342556,0.000375281,0.0004102037,0.0007204395,0.0001773078,0.0001931231,0.0001017351,0.00008702467],"category_scores_gemma":[0.001211501,0.0001570085,0.000172213,0.001155509,0.00005211115,0.00008793939,0.00006896932,0.0001527234,0.0000163176],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002747391,"about_ca_system_score_gemma":0.00002133208,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000141757,"about_ca_topic_score_gemma":0.0001324338,"domain_scores_codex":[0.9979885,0.0003602498,0.000349148,0.0003935235,0.0006475945,0.0002610091],"domain_scores_gemma":[0.9972388,0.001889234,0.0001820821,0.0003540157,0.0002108874,0.0001250145],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0002170774,0.0009344369,0.05233911,0.0001555357,0.01078974,0.00000447575,0.002560136,0.0043,0.0002791709,0.9132366,0.002999705,0.01218406],"study_design_scores_gemma":[0.0009790944,0.0001484396,0.3255552,0.00001537929,0.002974513,0.000004344573,0.0001902117,0.5568943,0.00006581829,0.1090304,0.003714435,0.0004278072],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8840524,0.002532135,0.09433693,0.004202292,0.0004398014,0.001087316,0.000182441,0.0006074745,0.0125592],"genre_scores_gemma":[0.9893996,0.00005911807,0.0096806,0.0001661721,0.0001496989,0.00001908645,0.00002226958,0.00001553701,0.0004879175],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8042061,"threshold_uncertainty_score":0.6402619,"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."}}