{"id":"W2012849415","doi":"10.1108/03684920910944867","title":"Some theoretical results of learning theory based on random sets in set‐valued probability space","year":2009,"lang":"en","type":"article","venue":"Kybernetes","topic":"Fuzzy Systems and Optimization","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Statistical learning theory; Convergence of random variables; Empirical risk minimization; Random element; Mathematics; Probability theory; Random function; Set (abstract data type); Random field; Probability distribution; Statistical distance; Random variable; Computer science; Artificial intelligence; Discrete mathematics; Mathematical optimization; 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":[0.002165159,0.0001469558,0.0003330707,0.00008694635,0.00003324996,0.0000170255,0.0001098836,0.0001170561,0.00004053826],"category_scores_gemma":[0.003834927,0.0001143721,0.00008095081,0.0001548401,0.00009616111,0.00006408273,0.0000142475,0.0001889635,0.000006431816],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004701098,"about_ca_system_score_gemma":0.00003613338,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001000147,"about_ca_topic_score_gemma":0.000004313066,"domain_scores_codex":[0.9982015,0.0006319429,0.0004464208,0.0002518645,0.0002632206,0.0002050286],"domain_scores_gemma":[0.9978402,0.001567084,0.0001792149,0.0003089273,0.00005816592,0.00004636022],"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":[0.001026087,0.0001879334,0.0003620625,0.0000737271,0.000007196919,0.000002612287,0.0008593917,0.01350185,0.00004683266,0.9833357,0.0002068621,0.000389793],"study_design_scores_gemma":[0.003337193,0.000250484,0.0004884228,0.0001996062,0.00001449054,5.53898e-7,0.00007443551,0.08635399,0.0009638558,0.9081608,0.000034121,0.0001220481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8030989,0.0002355083,0.001763466,0.001999035,0.0002216759,0.002460506,0.00005278924,0.0003391475,0.189829],"genre_scores_gemma":[0.9942331,0.000004013353,0.00524923,0.00004492508,0.0000456018,0.000009738429,0.00001371721,0.0000149799,0.0003846755],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1911343,"threshold_uncertainty_score":0.4663959,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01991174315109263,"score_gpt":0.2737459181938939,"score_spread":0.2538341750428013,"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."}}