{"id":"W3101802995","doi":"","title":"Optimal Scaling of Random Walk Metropolis algorithms with\\nDiscontinuous target densities","year":2007,"lang":"en","type":"article","venue":"MIMS EPrints (University of Southampton)","topic":"Markov Chains and Monte Carlo Methods","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"","keywords":"Random walk; Curse of dimensionality; Mathematics; Metropolis–Hastings algorithm; Convergence (economics); Scaling; Markov chain; Sequence (biology); Algorithm; Rate of convergence; Markov process; Probability density function; Stochastic process; Diffusion process; Diffusion; Applied mathematics; Mathematical optimization; Statistical physics; Computer science; Markov chain Monte Carlo; Statistics; Monte Carlo method; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001575754,0.0002183009,0.0006825914,0.0002880416,0.0001437034,0.0000104084,0.0003401677,0.0001419841,0.0002483803],"category_scores_gemma":[0.0001369801,0.0002193469,0.0002581307,0.0002540668,0.0004180633,0.0001347056,0.0002101955,0.000198076,7.85522e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006554799,"about_ca_system_score_gemma":0.00004773399,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000848905,"about_ca_topic_score_gemma":0.0002076714,"domain_scores_codex":[0.9985086,0.0001051204,0.0003011686,0.0003185726,0.0003904452,0.00037607],"domain_scores_gemma":[0.9983693,0.0004018632,0.0003688055,0.000439684,0.0002721027,0.0001482506],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"qualitative","study_design_gemma":"qualitative","study_design_scores_codex":[0.02619653,0.004848119,0.1161161,0.005169269,0.00883165,0.003091149,0.4594728,0.002401348,0.06242522,0.08523907,0.004003869,0.2222049],"study_design_scores_gemma":[0.03702886,0.001148792,0.01501566,0.001517198,0.001910993,0.0002452845,0.7207028,0.01306737,0.1896852,0.008850376,0.007387565,0.003439921],"study_design_candidate":"qualitative","study_design_consensus":"qualitative","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6139188,0.00003385552,0.3818664,0.00002768367,0.0000600299,0.0001621917,0.00002789466,0.00003606777,0.003867032],"genre_scores_gemma":[0.5896956,0.000008171865,0.4084606,0.000007351106,0.00003280908,1.755586e-7,0.000005250059,0.00001928087,0.001770745],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.26123,"threshold_uncertainty_score":0.8944709,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02672775531838749,"score_gpt":0.2668259879196557,"score_spread":0.2400982326012682,"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."}}