{"id":"W2089858564","doi":"10.1016/j.neunet.2013.03.005","title":"Contractivity of a Markov operator on the space of normalised positive distributions","year":2013,"lang":"en","type":"article","venue":"Neural Networks","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Memorial University of Newfoundland","funders":"","keywords":"Mathematics; Markov chain; Convergence (economics); Applied mathematics; Operator (biology); Ordinary differential equation; Class (philosophy); Markov process; Space (punctuation); Statistical physics; Mathematical analysis; Differential equation; Computer science; Statistics; Artificial intelligence; Physics","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":[0.0002002438,0.0001399688,0.0003147245,0.00001458433,0.00007984131,0.00001534706,0.0001745912,0.00006861398,0.0003244731],"category_scores_gemma":[0.001026668,0.00008480084,0.0001004695,0.0001550421,0.0002472529,0.0001402957,0.00006690928,0.0002396147,0.000008633986],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002023603,"about_ca_system_score_gemma":0.000009335619,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007480185,"about_ca_topic_score_gemma":0.000002741346,"domain_scores_codex":[0.9990515,0.0001525055,0.0002866586,0.0001217858,0.0001732136,0.0002143519],"domain_scores_gemma":[0.9952113,0.003989828,0.0002154651,0.0003540552,0.000175337,0.00005398508],"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":[0.0001045776,0.0003128302,0.00009487403,0.0000499251,0.00006534925,0.000002106166,0.0001855751,0.0005473269,0.002793336,0.9914497,0.003393425,0.001000937],"study_design_scores_gemma":[0.001085333,0.0005138671,0.003424527,0.0003603905,0.0001480282,0.00001620402,0.0005362927,0.09790611,0.06653389,0.8289407,0.00008518475,0.0004494164],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.903339,0.00004184857,0.08881047,0.001753621,0.0001484259,0.001059445,0.00009065921,0.00004963445,0.004706868],"genre_scores_gemma":[0.9974233,0.000004678473,0.002257007,0.0000744566,0.00005537369,0.00005189827,0.000003953205,0.00001509188,0.0001142581],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.162509,"threshold_uncertainty_score":0.3552753,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01986982700483239,"score_gpt":0.2804987217122772,"score_spread":0.2606288947074448,"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."}}