{"id":"W2625544043","doi":"10.46298/dmtcs.2429","title":"A product formula for the TASEP on a ring","year":2014,"lang":"fr","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Vetenskapsrådet","keywords":"Mathematics; Combinatorics; Conjecture; Permutation (music); Order (exchange); Product (mathematics); Ring (chemistry); Geometry; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003822173,0.0006424889,0.001057331,0.001804822,0.001236546,0.003030939,0.002349739,0.001632069,0.01572763],"category_scores_gemma":[0.0173864,0.0007140914,0.001657601,0.001670851,0.00296788,0.009003561,0.002491317,0.003282518,0.001685094],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002036337,"about_ca_system_score_gemma":0.001260497,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001315381,"about_ca_topic_score_gemma":0.001318189,"domain_scores_codex":[0.9976947,0.0005573664,0.000153267,0.0005901588,0.0006875867,0.000316933],"domain_scores_gemma":[0.9905749,0.006134752,0.0006646396,0.001092952,0.001125152,0.0004077442],"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":[0.00004095414,0.00001902718,0.0005812854,0.00003874059,0.00001140637,0.00008452004,0.000126307,0.004522562,0.000578336,0.986474,0.001334088,0.00618869],"study_design_scores_gemma":[0.00002085032,0.00005776388,0.000477104,0.00003488819,0.00002077858,0.0002446932,0.00005522143,0.1090538,0.00101205,0.8856821,0.003305352,0.0000352628],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06984809,0.0003313473,0.9109984,0.001352831,0.0001158744,0.00009545359,0.0006404913,0.0003196973,0.01629782],"genre_scores_gemma":[0.7026056,0.0008006151,0.2682282,0.00100066,0.0005454004,0.0005582019,0.001127487,0.0004650161,0.02466877],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01572763,"threshold_uncertainty_score":0.05261421,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02701833965661635,"score_gpt":0.2995876148925535,"score_spread":0.2725692752359372,"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."}}