{"id":"W2052557309","doi":"10.1142/s0217595909002171","title":"VECTOR-VALUED IMPLICIT LAGRANGIAN FOR SYMMETRIC CONE COMPLEMENTARITY PROBLEMS","year":2009,"lang":"en","type":"article","venue":"Asia Pacific Journal of Operational Research","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Differentiable function; Complementarity (molecular biology); Complementarity theory; Orthant; Lagrangian; Jacobian matrix and determinant; Applied mathematics; Trust region; Stationary point; Mathematical optimization; Pure mathematics; Mathematical analysis; Computer science; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001068059,0.0005436831,0.0005512712,0.0004581605,0.0003908327,0.0009740656,0.0005200241,0.000702801,0.00147812],"category_scores_gemma":[0.002273841,0.0002366987,0.0003645141,0.0003713389,0.001176247,0.001140255,0.00108058,0.001114043,0.0002596398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006713446,"about_ca_system_score_gemma":0.001424435,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009822119,"about_ca_topic_score_gemma":0.001297596,"domain_scores_codex":[0.9997237,0.0001015326,0.00001248052,0.00002789026,0.0001042012,0.00003012471],"domain_scores_gemma":[0.9994732,0.0002142836,0.00008994644,0.00003521221,0.0001386762,0.00004875509],"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":[0.00003273861,0.00002752569,0.0003318072,0.0001045106,0.00001132702,0.0001541625,0.000116743,0.2887639,0.003963073,0.6863974,0.001454108,0.01864267],"study_design_scores_gemma":[0.00001149344,0.0000313466,0.00006924744,0.00001539885,0.000002667038,0.00004554048,0.00002437228,0.8905484,0.0008060282,0.105819,0.002617145,0.00000929261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02563691,0.0002383258,0.9655265,0.0003751985,0.00003365006,0.00003167854,0.00004714322,0.00003451556,0.008076085],"genre_scores_gemma":[0.6226605,0.0006950039,0.3592104,0.0001519308,0.0000926777,0.0002272355,0.0002170465,0.0001049181,0.01664025],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00147812,"threshold_uncertainty_score":0.005648494,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1602271128908281,"score_gpt":0.4544760530473624,"score_spread":0.2942489401565342,"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."}}