{"id":"W4226200284","doi":"10.23952/jano.4.2022.1.09","title":"Solvability of convex optimization problems on a *-continuous closed convex set","year":2022,"lang":"en","type":"article","venue":"Journal of Applied and Numerical Optimization","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Subderivative; Convex set; Regular polygon; Proper convex function; Convex analysis; Conic optimization; Set (abstract data type); Convex optimization; Mathematics; Mathematical optimization; Convex combination; Convex polytope; Absolutely convex set; Computer science; 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":[0.002405543,0.001448797,0.001378458,0.0006842532,0.0005343581,0.002184608,0.0009422429,0.001234517,0.001548376],"category_scores_gemma":[0.006191475,0.000661461,0.001312553,0.0006321842,0.002418975,0.002675388,0.002553725,0.002171192,0.0001940236],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001164383,"about_ca_system_score_gemma":0.001382446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001398092,"about_ca_topic_score_gemma":0.0006349292,"domain_scores_codex":[0.9990097,0.0004175199,0.00004811716,0.000245013,0.000186189,0.00009343559],"domain_scores_gemma":[0.9963902,0.002779577,0.0003709053,0.00009036761,0.0001810617,0.0001879375],"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":[0.0003832638,0.0002149946,0.00157578,0.000556769,0.0002299156,0.0006921088,0.0008045767,0.3232177,0.01520891,0.6340923,0.001612724,0.02141096],"study_design_scores_gemma":[0.00004218172,0.0001299515,0.0002913585,0.00003297178,0.00001861135,0.0001042704,0.0001132848,0.8498975,0.001948083,0.1465164,0.000890303,0.00001516345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2232826,0.0008922242,0.7626583,0.001206486,0.00004527918,0.00009208428,0.0001572827,0.0001004803,0.01156534],"genre_scores_gemma":[0.8947335,0.00083316,0.09590391,0.0001180743,0.0001137137,0.000315805,0.0003740247,0.00009655211,0.00751128],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002405543,"threshold_uncertainty_score":0.01272184,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01000282559015506,"score_gpt":0.2160986114208309,"score_spread":0.2060957858306759,"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."}}