{"id":"W2989637082","doi":"10.46298/lmcs-19(4:10)2023","title":"A categorical characterization of relative entropy on standard Borel spaces","year":2023,"lang":"en","type":"article","venue":"Logical Methods in Computer Science","topic":"Rough Sets and Fuzzy Logic","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Categorical variable; Functor; Convexity; Kullback–Leibler divergence; Borel set; Pure mathematics; Uniqueness; Entropy (arrow of time); Discrete mathematics; Statistics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003029872,0.000170857,0.0003475392,0.0004414372,0.0001489418,0.0001927554,0.001542887,0.00008861229,0.000006227273],"category_scores_gemma":[0.000290206,0.0001207052,0.00006942013,0.004368126,0.0003508554,0.0005979812,0.0007993744,0.0002549085,0.00002534412],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009105285,"about_ca_system_score_gemma":0.0001019928,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006305191,"about_ca_topic_score_gemma":2.955229e-7,"domain_scores_codex":[0.9971599,0.0004750469,0.0004018089,0.0007883382,0.0006866381,0.0004882878],"domain_scores_gemma":[0.9983001,0.0007128632,0.0001690843,0.0005612392,0.000120819,0.0001358329],"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":[0.00002674294,0.0001066416,0.0008909161,0.00001006929,0.000004138114,0.00006006035,0.0009492758,0.001182283,0.01549874,0.5025999,0.00002606042,0.4786452],"study_design_scores_gemma":[0.0003153679,0.0008813678,0.07593266,0.00003146528,0.000001967064,0.000008432399,0.000006833032,0.7723433,0.006152689,0.1435916,0.0004984819,0.000235777],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0448318,0.000008052377,0.9523413,0.00112279,0.0008214262,0.0001853678,0.000002261775,0.0001629689,0.0005240558],"genre_scores_gemma":[0.2569861,0.00002395869,0.742649,0.0002626428,0.00005644529,0.00001010368,0.000001303314,0.00000383891,0.000006645625],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.7711611,"threshold_uncertainty_score":0.4922215,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06528314090497818,"score_gpt":0.3759013701157279,"score_spread":0.3106182292107498,"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."}}