{"id":"W2184070031","doi":"","title":"Comparison of Disjoint Decomposition Theorems for Metropolis Algorithms onR.","year":2006,"lang":"en","type":"article","venue":"","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Disjoint sets; Decomposition; Markov chain; Mathematics; Algorithm; Discrete mathematics; Combinatorics; 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":[0.0005569264,0.0001236376,0.0003767974,0.00007186646,0.00005534643,0.00001549906,0.0001021679,0.00006866227,0.0000430957],"category_scores_gemma":[0.0001039234,0.00009462291,0.0001852154,0.00008562026,0.00005254408,0.00004109449,0.00003017967,0.00005275544,6.93114e-8],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004215163,"about_ca_system_score_gemma":0.00001097049,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001736947,"about_ca_topic_score_gemma":0.00009041745,"domain_scores_codex":[0.9989972,0.00007314944,0.0004341458,0.000157333,0.0001535348,0.0001847137],"domain_scores_gemma":[0.9988255,0.0006031471,0.0001722557,0.0002375756,0.000122554,0.00003895749],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00004289779,0.0004381568,0.0004480503,0.0001340167,0.00003608118,3.581697e-7,0.0001569283,0.0000173367,0.008793176,0.963224,0.01534802,0.011361],"study_design_scores_gemma":[0.001534835,0.0004839215,0.0002310627,0.00006301867,0.0001848429,0.000004908647,0.001354925,0.05434305,0.5061386,0.4250778,0.01016657,0.000416498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05542507,0.00009017729,0.9101408,0.0001294139,0.0001548875,0.0003892331,0.00003175498,0.00006435253,0.03357431],"genre_scores_gemma":[0.4575551,0.000001908527,0.5411208,0.00001974722,0.0001213492,0.00002916978,0.00002404291,0.00001824594,0.001109565],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5381462,"threshold_uncertainty_score":0.385861,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09943261300254634,"score_gpt":0.4707577356878502,"score_spread":0.3713251226853038,"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."}}