{"id":"W4407860393","doi":"10.1080/03605302.2025.2459194","title":"A PDE framework of consensus-based optimization for objectives with multiple global minimizers","year":2025,"lang":"en","type":"article","venue":"Communications in Partial Differential Equations","topic":"Advanced Control Systems Optimization","field":"Engineering","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Kootenay Association for Science & Technology","funders":"Munich Center for Machine Learning; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Applied mathematics; Mathematical optimization; Mathematical economics; Calculus (dental); Medicine","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":[0.001845351,0.001162958,0.001366955,0.0009394814,0.0007350917,0.001654922,0.002185631,0.001830462,0.003081903],"category_scores_gemma":[0.003869451,0.0006769919,0.001563911,0.001025662,0.001660286,0.002151929,0.002925577,0.00256825,0.0005484262],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001287493,"about_ca_system_score_gemma":0.001895036,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003951742,"about_ca_topic_score_gemma":0.002690071,"domain_scores_codex":[0.9991369,0.0003385368,0.00004066832,0.0001787182,0.0002543254,0.00005094839],"domain_scores_gemma":[0.9990589,0.0004479986,0.00009532449,0.0000859008,0.0002432695,0.00006855484],"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":[0.00001459056,0.00003184229,0.0001439361,0.0001058582,0.00004068607,0.00008464628,0.00009511329,0.4659783,0.001729357,0.517462,0.002454151,0.01185955],"study_design_scores_gemma":[0.00000657749,0.00001998766,0.00003974899,0.00001091424,0.000007415901,0.00001894645,0.00001261492,0.9193403,0.000186342,0.07813627,0.002212837,0.000008024101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001069227,0.0001895382,0.9944966,0.0002620184,0.00007501771,0.00002336481,0.00003678862,0.00002863669,0.003818741],"genre_scores_gemma":[0.3658842,0.002205676,0.6012846,0.0006767293,0.0007049683,0.000759237,0.00045755,0.0003166515,0.0277104],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.003951742,"threshold_uncertainty_score":0.01030993,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01792168073813388,"score_gpt":0.2978797935745521,"score_spread":0.2799581128364182,"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."}}