{"id":"W4249176407","doi":"10.23952/jnva.4.2020.3.01","title":"Karush-Kuhn-Tucker optimality conditions and duality for semi-infinite programming problems with vanishing constraints","year":2020,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Karush–Kuhn–Tucker conditions; Duality (order theory); Mathematics; Mathematical optimization; Mathematical economics; Applied mathematics; Pure mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003777148,0.001409045,0.001433812,0.001790004,0.001054278,0.003118656,0.0013385,0.001430477,0.005355719],"category_scores_gemma":[0.01086289,0.0007309316,0.00124223,0.0016905,0.004271555,0.005375606,0.002960938,0.005318069,0.0007780237],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001895566,"about_ca_system_score_gemma":0.002528082,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001318649,"about_ca_topic_score_gemma":0.00105208,"domain_scores_codex":[0.9984479,0.0007041279,0.00009078182,0.000205997,0.0003291462,0.0002220502],"domain_scores_gemma":[0.9955076,0.003147953,0.0003949824,0.000172721,0.0005157018,0.0002610355],"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":[0.0000216047,0.00002818154,0.00009671497,0.00009140631,0.00001158643,0.00006646413,0.00006775634,0.02673182,0.0007742368,0.9659331,0.0008806372,0.005296456],"study_design_scores_gemma":[0.00001630249,0.00003355472,0.0001244655,0.00005144318,0.000008499064,0.00007308699,0.00007025135,0.166748,0.0008123929,0.8302475,0.001790905,0.00002364939],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0337116,0.001277807,0.9257675,0.001235129,0.0001371494,0.00008759673,0.0002366759,0.00009637773,0.0374501],"genre_scores_gemma":[0.730638,0.003382714,0.2450797,0.0004593256,0.0003686298,0.000729135,0.0005348587,0.0002473176,0.0185603],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005355719,"threshold_uncertainty_score":0.01997572,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02571071810654377,"score_gpt":0.2713237986234999,"score_spread":0.2456130805169561,"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."}}