{"id":"W4230319725","doi":"10.23952/jano.3.2021.1.05","title":"Minimax exactness and global saddle points of nonlinear augmented Lagrangians","year":2021,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Minimax; Saddle point; Nonlinear system; Mathematics; Applied mathematics; Saddle; Mathematical optimization; Mathematical economics; Physics; Geometry","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":[0.001702726,0.000856426,0.0007927929,0.0007503147,0.0004427698,0.001178373,0.000631594,0.0008222057,0.002519362],"category_scores_gemma":[0.004830705,0.0003485179,0.0006267274,0.000448005,0.001926526,0.002182542,0.001651049,0.001345341,0.0002510221],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006034054,"about_ca_system_score_gemma":0.0006137473,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005540097,"about_ca_topic_score_gemma":0.0005375922,"domain_scores_codex":[0.9996877,0.0001407045,0.00001662384,0.00005932834,0.00005678225,0.00003903693],"domain_scores_gemma":[0.9987896,0.0006709946,0.0002158618,0.00009082501,0.0001636279,0.0000691729],"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":[0.00003993881,0.00003302038,0.0007420426,0.0001446164,0.00004631666,0.0001862212,0.0002068583,0.3103765,0.003368242,0.6717233,0.0008263243,0.0123066],"study_design_scores_gemma":[0.00001092819,0.00005712091,0.0002235073,0.00003263693,0.000007650743,0.00004903001,0.00005113048,0.7647101,0.0009836293,0.2329152,0.0009468585,0.00001214588],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08109821,0.0004299985,0.9095351,0.0005833741,0.00003584163,0.00003433765,0.00007642146,0.00005377511,0.008152979],"genre_scores_gemma":[0.915172,0.0005807128,0.0765883,0.0001308671,0.00004742572,0.0001354987,0.0001251163,0.00007729145,0.007142849],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002519362,"threshold_uncertainty_score":0.00900501,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008203083147464096,"score_gpt":0.2638626601844168,"score_spread":0.2556595770369527,"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."}}