{"id":"W4318612225","doi":"10.1007/s11009-023-09977-2","title":"Polynomial Convergence Rates of Piecewise Deterministic Markov Processes","year":2023,"lang":"en","type":"article","venue":"Methodology And Computing In Applied Probability","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Piecewise; Polynomial; Norm (philosophy); Rate of convergence; Markov chain; Convergence (economics); Applied mathematics; Markov process; Discrete mathematics; Mathematical analysis; Statistics","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":[0.008375228,0.0001917746,0.0006308039,0.0001228883,0.00008514053,0.000009419257,0.000201686,0.0001757677,0.00001035136],"category_scores_gemma":[0.005456189,0.0001747629,0.00004713134,0.0005398592,0.000353891,0.00001781778,0.0002508456,0.0002291035,1.873945e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002113974,"about_ca_system_score_gemma":0.00009735503,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001973391,"about_ca_topic_score_gemma":0.0000437731,"domain_scores_codex":[0.997363,0.001080625,0.0006229351,0.0004794341,0.0001093458,0.0003446744],"domain_scores_gemma":[0.9885122,0.01081274,0.0002265353,0.0003150358,0.00007278076,0.00006069705],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00307,0.001154991,0.3108881,0.02574783,0.0002666004,0.00005863472,0.02125566,0.0006878424,0.03875262,0.0848841,0.002100339,0.5111333],"study_design_scores_gemma":[0.004712993,0.0006188804,0.0909713,0.0005150374,0.0002358815,0.00006706241,0.002623959,0.03787156,0.07151008,0.7878476,0.001226277,0.00179937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9529708,0.00007439407,0.04457264,0.00006534199,0.0002078482,0.000514182,0.000005557732,0.0001054661,0.001483793],"genre_scores_gemma":[0.6712821,0.00001672868,0.3285578,0.00002888061,0.00003444681,0.00003129987,0.00000217413,0.000011329,0.00003524921],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7029635,"threshold_uncertainty_score":0.7126623,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2463129892456501,"score_gpt":0.4186771461998902,"score_spread":0.17236415695424,"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."}}