{"id":"W353671651","doi":"10.1023/a:1017595513275","title":"On the Convergence of Cone Splitting Algorithms with ω-Subdivisions","year":2001,"lang":"en","type":"article","venue":"Journal of Optimization Theory and Applications","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Hyperplane; Polytope; Mathematics; Cone (formal languages); Subdivision; Theory of computation; Convergence (economics); Algorithm; Minification; Function (biology); Dual cone and polar cone; Path (computing); Combinatorics; Discrete mathematics; Mathematical optimization; Geometry; Computer science; Regular polygon","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":[0.001187492,0.0001015279,0.0001886419,0.0001225066,0.0002359298,0.00002606142,0.0002060246,0.00004111381,0.0003432678],"category_scores_gemma":[0.0006772224,0.00006238621,0.00004274158,0.000507397,0.000222238,0.0001607026,0.00003156918,0.0001994004,0.000002112985],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001934794,"about_ca_system_score_gemma":0.00005626812,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.940018e-7,"about_ca_topic_score_gemma":1.589248e-7,"domain_scores_codex":[0.99883,0.0001746467,0.0004546574,0.0001131104,0.0003086252,0.0001189738],"domain_scores_gemma":[0.9960954,0.0023799,0.000583165,0.0002356549,0.000626076,0.00007977926],"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":[0.000146555,0.0001928378,0.00007403798,0.00001695359,0.00005771342,0.000002329223,0.0002340178,0.2528749,0.00009616042,0.7422997,0.00009806437,0.003906806],"study_design_scores_gemma":[0.002518869,0.0007347757,0.000141157,0.0003602017,0.0002133044,0.0004571816,0.004062572,0.1928918,0.004479902,0.7911894,0.002509227,0.0004416815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003917687,0.00007802463,0.9938346,0.0005816272,0.00001744862,0.0003357627,0.000006452753,0.00001264824,0.001215779],"genre_scores_gemma":[0.4051792,0.001477306,0.5915041,0.0002561955,0.0001715904,0.00009815915,0.000007765319,0.00005660911,0.00124912],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4023305,"threshold_uncertainty_score":0.3758542,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03188848380369735,"score_gpt":0.3353159659387728,"score_spread":0.3034274821350755,"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."}}