{"id":"W1967710355","doi":"10.1080/02331930600711968","title":"Characterization of convexifiable functions","year":2006,"lang":"en","type":"article","venue":"Optimization","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Lipschitz continuity; Differentiable function; Convex function; Concave function; Class (philosophy); Function (biology); Convex analysis; Transformation (genetics); Linear programming; Analytic function; Pure mathematics; Regular polygon; Characterization (materials science); Convex optimization; Discrete mathematics; Applied mathematics; Mathematical optimization; Computer science","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":[0.002125938,0.0008280969,0.0007484448,0.00171023,0.0006591741,0.0031431,0.000914849,0.0009707226,0.005747641],"category_scores_gemma":[0.007629556,0.0004245595,0.0007871088,0.0009608068,0.003533783,0.00386412,0.002143307,0.002341934,0.0005159004],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001795505,"about_ca_system_score_gemma":0.0008025048,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006643381,"about_ca_topic_score_gemma":0.0003648736,"domain_scores_codex":[0.9986497,0.0003234125,0.00008044556,0.0002825717,0.0004376009,0.0002262721],"domain_scores_gemma":[0.9969036,0.001443031,0.0004135779,0.0003188442,0.0006918568,0.0002290772],"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":[0.00003201646,0.00002347312,0.0006821166,0.00005863019,0.00001431768,0.0001228862,0.0001841162,0.02330136,0.004975462,0.9566742,0.0006857862,0.01324558],"study_design_scores_gemma":[0.00001515776,0.00007068329,0.001173252,0.00005508354,0.00001536209,0.0001865212,0.0001759254,0.280617,0.007226292,0.7050685,0.005369737,0.0000264966],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1862091,0.0005598135,0.7789629,0.0008278104,0.00005000827,0.00007253318,0.0001676238,0.0001676027,0.03298274],"genre_scores_gemma":[0.9441113,0.0004314859,0.04839555,0.0001009974,0.00008317128,0.0001274544,0.0002934833,0.00009711021,0.006359309],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005747641,"threshold_uncertainty_score":0.0192278,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02564100181370066,"score_gpt":0.2985124660899341,"score_spread":0.2728714642762334,"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."}}