{"id":"W4312874287","doi":"10.23952/jano.4.2022.3.02","title":"Pareto subdifferential calculus for convex set-valued mappings and applications to set optimization","year":2022,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Subderivative; Pareto principle; Mathematics; Convex analysis; Set (abstract data type); Mathematical optimization; Regular polygon; Convex set; Calculus (dental); Convex optimization; Applied mathematics; Pure mathematics; Computer science; Medicine; 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":[0.005108656,0.000926549,0.001138291,0.002231844,0.0009369843,0.002213454,0.001011616,0.0008252583,0.002098819],"category_scores_gemma":[0.006808086,0.0004286624,0.002086845,0.001732602,0.003194207,0.003422519,0.002523986,0.003478051,0.0003673766],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00185061,"about_ca_system_score_gemma":0.001220595,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001152585,"about_ca_topic_score_gemma":0.0008986387,"domain_scores_codex":[0.9982774,0.0006092191,0.0001469797,0.0002351615,0.0006269994,0.0001041853],"domain_scores_gemma":[0.9979054,0.001186388,0.000159977,0.0001933256,0.0004265237,0.0001285105],"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":[0.000004124897,0.000009484933,0.00009706802,0.00003797843,0.00001269696,0.000043322,0.0001039407,0.006990561,0.0006625152,0.9850679,0.0002230846,0.006747186],"study_design_scores_gemma":[0.000006922636,0.00002957707,0.0001747665,0.0000273544,0.00001430861,0.00008867525,0.00005263544,0.09055965,0.0006360054,0.9020408,0.006355489,0.00001374739],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01116784,0.001547505,0.9770828,0.0004085444,0.000111767,0.00004484028,0.0000487294,0.00002898294,0.009559015],"genre_scores_gemma":[0.4451113,0.005061678,0.5303147,0.000493879,0.000536499,0.0003376736,0.000169842,0.0001748654,0.01779955],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005108656,"threshold_uncertainty_score":0.02701747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01484679569872023,"score_gpt":0.2519294366041357,"score_spread":0.2370826409054155,"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."}}