{"id":"W2188090572","doi":"10.1007/bfb0006694","title":"Differentiability of Min Max and saddle points under relaxed assumptions","year":2005,"lang":"en","type":"book-chapter","venue":"Lecture notes in control and information sciences","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Infimum and supremum; Differentiable function; Saddle point; Mathematics; Saddle; Pure mathematics; Object (grammar); Sensitivity (control systems); Mathematical economics; Mathematical analysis; Applied mathematics; Mathematical optimization; Computer science; Geometry; Engineering; Artificial intelligence","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":[0.003998466,0.001061719,0.001535622,0.001154443,0.0008118884,0.002470865,0.00209165,0.001665569,0.005289161],"category_scores_gemma":[0.01405001,0.0008412339,0.001474865,0.001271541,0.002581444,0.005059588,0.00308084,0.004772685,0.0006126919],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001842717,"about_ca_system_score_gemma":0.001178366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001481476,"about_ca_topic_score_gemma":0.0007182744,"domain_scores_codex":[0.9992705,0.0002977696,0.00004081356,0.0001912899,0.00011062,0.00008893494],"domain_scores_gemma":[0.9965262,0.002354311,0.0002996236,0.000264159,0.0003777291,0.0001780064],"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":[0.0001303073,0.00003180586,0.0002701812,0.0001494129,0.00003167546,0.0000787337,0.0002650464,0.03505246,0.002422357,0.9457087,0.002439449,0.01342005],"study_design_scores_gemma":[0.00001835649,0.00005368388,0.0002689984,0.00003749584,0.00001664065,0.00008441771,0.00007489344,0.1857831,0.0007207544,0.8111773,0.001747403,0.00001701603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.07804272,0.00136934,0.8643325,0.002809036,0.0001561538,0.0000748242,0.0005326328,0.0002569423,0.05242596],"genre_scores_gemma":[0.8573169,0.001868613,0.09851426,0.0006617991,0.0003122609,0.0003118425,0.0005825012,0.0005443876,0.03988763],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005289161,"threshold_uncertainty_score":0.02114618,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01262433140779353,"score_gpt":0.2311896777789595,"score_spread":0.218565346371166,"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."}}