{"id":"W3003915678","doi":"10.46298/jnsao-2020-6061","title":"Constructing a subgradient from directional derivatives for functions of two variables","year":2020,"lang":"en","type":"article","venue":"Journal of Nonsmooth Analysis and Optimization","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Subgradient method; Lipschitz continuity; Function (biology); Parametric statistics; Convex function; Interval (graph theory); Regular polygon; Bivariate analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002083781,0.0009059747,0.0008504713,0.001009875,0.0003449071,0.0008922925,0.0007552019,0.0007516738,0.001267313],"category_scores_gemma":[0.004732421,0.0005348241,0.0009180689,0.0005107832,0.001221545,0.001529587,0.001433686,0.00174172,0.0004390091],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001151729,"about_ca_system_score_gemma":0.001225054,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001694303,"about_ca_topic_score_gemma":0.001926419,"domain_scores_codex":[0.9995819,0.0001659417,0.00002517139,0.0000604516,0.0001280371,0.00003854613],"domain_scores_gemma":[0.9991849,0.0003997543,0.00008285033,0.00007918802,0.0001804128,0.00007282268],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002375294,0.0001203288,0.001624007,0.0004576441,0.00009092452,0.0003513876,0.0005716876,0.4640576,0.03614819,0.3384742,0.002969229,0.1548973],"study_design_scores_gemma":[0.00001465399,0.0001359212,0.0003185682,0.00004018005,0.00001144282,0.00007055127,0.00003729851,0.9508337,0.006937453,0.03810222,0.003480769,0.00001728646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01123106,0.0001134971,0.9872601,0.00006958129,0.00003479813,0.00003497096,0.00001770799,0.00006613608,0.001172212],"genre_scores_gemma":[0.1836605,0.000346718,0.8130681,0.0001208643,0.00003677002,0.000144274,0.0001161997,0.0001943334,0.002312202],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002083781,"threshold_uncertainty_score":0.01102018,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01664307879333738,"score_gpt":0.2424652423812566,"score_spread":0.2258221635879192,"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."}}