{"id":"W2011918585","doi":"10.1016/s0304-4149(02)00096-0","title":"One-shot coupling for certain stochastic recursive sequences","year":2002,"lang":"en","type":"article","venue":"Stochastic Processes and their Applications","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":33,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Markov chain; Coupling (piping); Combinatorics; Chain (unit); Convergence (economics); Discrete mathematics; Statistics; Physics; Quantum mechanics","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":[0.0002943913,0.000232058,0.0003295846,0.00008405734,0.0004149046,0.00006590819,0.0002199008,0.00009524075,0.0000196367],"category_scores_gemma":[0.0007186647,0.0001997829,0.0000662325,0.0002951772,0.0001479325,0.00008527871,0.0000497099,0.000124873,4.224548e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000313548,"about_ca_system_score_gemma":0.00005227707,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006969607,"about_ca_topic_score_gemma":0.00002977838,"domain_scores_codex":[0.9987933,0.00001347014,0.0003111771,0.0004264822,0.0001215665,0.0003339789],"domain_scores_gemma":[0.9971963,0.001834104,0.0001851433,0.0003109029,0.0003307502,0.0001428423],"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":[0.0001008426,0.0006707822,0.00000189846,0.002552675,0.0002637936,4.45923e-7,0.007043246,0.0007188448,0.002009448,0.9452044,0.0008186469,0.04061501],"study_design_scores_gemma":[0.0008508706,0.0002990381,7.900563e-7,0.0003154871,0.0002148058,0.00002044555,0.003937765,0.06758711,0.0005356845,0.9243489,0.001221718,0.0006673807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001498086,0.001644126,0.9935439,0.0005369414,0.00004333432,0.00160995,0.0001241388,0.0001167465,0.0008827265],"genre_scores_gemma":[0.9635617,0.00003928059,0.03226579,0.0001051704,0.0002670084,0.003255983,0.00002368191,0.00005067838,0.0004307544],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9620636,"threshold_uncertainty_score":0.814691,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1437429349638152,"score_gpt":0.354352583947851,"score_spread":0.2106096489840358,"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."}}