{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002492102,0.00009585017,0.0003645684,0.000383969,0.0001255169,0.00009774493,0.0001625135,0.00003397174,0.00008897609],"category_scores_gemma":[0.0002728699,0.00008152759,0.0002556803,0.001622034,0.00003472478,0.0004842681,0.00003562927,0.00006144792,2.088968e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002417992,"about_ca_system_score_gemma":0.0000842983,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003712394,"about_ca_topic_score_gemma":0.00001710892,"domain_scores_codex":[0.9988341,0.00007375881,0.0005894814,0.0001814305,0.0002361935,0.00008502097],"domain_scores_gemma":[0.9979252,0.0003136764,0.0008056278,0.00008817853,0.0007517408,0.0001155297],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002866031,0.00004712712,0.01400543,0.000005685873,0.001175366,5.800334e-7,0.0002950866,0.9729573,0.0001023473,0.009796374,0.00005782082,0.001528291],"study_design_scores_gemma":[0.0006102919,0.0000802414,0.001603673,0.000008537398,0.00091133,0.000003206036,0.0001394691,0.9956706,0.0002455186,0.0005464217,0.00009751911,0.00008324223],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002559357,0.0001448325,0.9952199,0.00180087,0.00007598708,0.00005390279,0.00003759416,0.0000108386,0.0000966489],"genre_scores_gemma":[0.3255401,0.00004868039,0.6741217,0.0001416033,0.00008975172,0.000001946266,0.00003632337,0.000003752913,0.00001611599],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3229808,"threshold_uncertainty_score":0.3324598,"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."}}