{"id":"W4389937051","doi":"10.1016/j.jpaa.2023.107589","title":"Asymptotic behavior of Markov complexity","year":2023,"lang":"en","type":"article","venue":"Journal of Pure and Applied Algebra","topic":"Graph theory and applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Israel Science Foundation; Ontario Ministry of Research, Innovation and Science; Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii; Corporation for National and Community Service","keywords":"Mathematics; Markov chain; Rank (graph theory); Bounded function; Integer (computer science); Combinatorics; Contrast (vision); Value (mathematics); Discrete mathematics; Matrix (chemical analysis); Markov process; Statistics; Computer science; Mathematical analysis; Artificial intelligence","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005057219,0.0008296892,0.00235779,0.004981622,0.00277311,0.005169489,0.003429927,0.003175916,0.01356293],"category_scores_gemma":[0.06800002,0.00114032,0.00113885,0.002202115,0.007341846,0.01204849,0.004981969,0.005127887,0.0008893205],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004153811,"about_ca_system_score_gemma":0.002559658,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00285282,"about_ca_topic_score_gemma":0.002342782,"domain_scores_codex":[0.9972507,0.001127901,0.00009022994,0.0003956139,0.0006884031,0.0004470151],"domain_scores_gemma":[0.9214003,0.06089932,0.003998631,0.004137394,0.004444296,0.005120071],"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":[0.00006379766,0.0000500135,0.0008459997,0.00006844445,0.00002544486,0.00006153427,0.0001384353,0.005996651,0.0005200095,0.9882534,0.002011689,0.001964572],"study_design_scores_gemma":[0.00002409825,0.00001782715,0.0009053864,0.00003722584,0.0000148125,0.0001031825,0.00005566995,0.08180542,0.0002563141,0.9162664,0.000483727,0.00002993595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6792787,0.003424512,0.176091,0.01885829,0.0005330534,0.000104775,0.0009105378,0.001844993,0.1189541],"genre_scores_gemma":[0.9842117,0.0007476153,0.006659147,0.0005791788,0.0007256328,0.0001077894,0.000343702,0.0002835799,0.006341656],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01356293,"threshold_uncertainty_score":0.04537249,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04720625965754912,"score_gpt":0.3031992355685685,"score_spread":0.2559929759110194,"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."}}