{"id":"W2112079301","doi":"10.1007/s101070200296","title":"Self-regular functions and new search directions for linear and semidefinite optimization","year":2002,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":210,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Combinatorics; Degree (music); Function (biology); Upper and lower bounds; Kernel (algebra); Interior point method; Polynomial; Semidefinite programming; Discrete mathematics; Algorithm; Mathematical analysis; Mathematical optimization","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":[0.0004187114,0.0001941862,0.0002780098,0.0001683892,0.0004182046,0.0001564103,0.00008692866,0.0001221892,0.0002245133],"category_scores_gemma":[0.001334383,0.0001806973,0.00006037919,0.0004012708,0.0001190408,0.0002365466,0.0001024839,0.0002046383,0.00002267207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004960578,"about_ca_system_score_gemma":0.000019889,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002063917,"about_ca_topic_score_gemma":0.0000015437,"domain_scores_codex":[0.9984905,0.00005697416,0.0003718527,0.0003602676,0.0003044927,0.0004159144],"domain_scores_gemma":[0.9981171,0.001076155,0.00006808392,0.0002547448,0.0001857457,0.0002981515],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00008024943,0.002674767,0.0002055082,0.005426398,0.0006427486,0.00001662041,0.008944921,0.01947155,0.00009166916,0.2821529,0.004407222,0.6758854],"study_design_scores_gemma":[0.0007230125,0.0001200228,0.000001193155,0.00006615144,0.00008007888,0.00004846415,0.0003688966,0.9571442,0.00005175818,0.03140854,0.009768886,0.0002187872],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0004592836,0.0003483673,0.9955627,0.0008115657,0.0000318594,0.001211439,0.00000678283,0.0004124869,0.00115555],"genre_scores_gemma":[0.0008771002,0.0001737842,0.9927822,0.0000207012,0.0001132561,0.0001901202,0.00001028937,0.00006683824,0.005765684],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9376727,"threshold_uncertainty_score":0.7368624,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1030337261159072,"score_gpt":0.3484202648766631,"score_spread":0.2453865387607559,"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."}}