{"id":"W2575486826","doi":"10.1007/s10107-017-1112-0","title":"Necessary optimality conditions and exact penalization for non-Lipschitz nonlinear programs","year":2017,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Lipschitz continuity; Mathematics; Karush–Kuhn–Tucker conditions; Function (biology); Separable space; Constraint (computer-aided design); Normality; Applied mathematics; Term (time); Mathematical optimization; Continuous function (set theory); Nonlinear system; Mathematical analysis; Statistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.005314647,0.003078338,0.002569642,0.002151468,0.001201293,0.002986643,0.002925337,0.003872857,0.009228438],"category_scores_gemma":[0.02828789,0.001981031,0.001977937,0.001295403,0.003520527,0.005572144,0.004457387,0.007983258,0.001045342],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002103005,"about_ca_system_score_gemma":0.003153553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002439451,"about_ca_topic_score_gemma":0.003064214,"domain_scores_codex":[0.9973012,0.001248597,0.0001924417,0.0003939357,0.0005750187,0.0002888493],"domain_scores_gemma":[0.9879678,0.008518056,0.0006661903,0.0005995228,0.001676042,0.0005723579],"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":[0.0002096881,0.0002214524,0.0005723133,0.000613095,0.00006926857,0.0002899351,0.0002910077,0.1394702,0.005481736,0.8198109,0.007222946,0.02574747],"study_design_scores_gemma":[0.0000454595,0.00006682299,0.0004013322,0.0001111055,0.00003040242,0.00009216218,0.00007843664,0.5579386,0.001977585,0.4363337,0.002885657,0.00003874152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01295941,0.0006141911,0.9754519,0.001238217,0.0001826582,0.0001364465,0.0003709655,0.0001695214,0.008876767],"genre_scores_gemma":[0.4677127,0.002401061,0.5041181,0.0009895246,0.0008938903,0.001382876,0.001586418,0.00120292,0.01971247],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.009228438,"threshold_uncertainty_score":0.03087223,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03706456655714727,"score_gpt":0.3220293890959318,"score_spread":0.2849648225387845,"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."}}