{"id":"W2921825661","doi":"","title":"Least Squares Estimation of Weakly Convex Functions","year":2019,"lang":"en","type":"article","venue":"NPARC","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Convexity; Mathematics; Proper convex function; Convex analysis; Subderivative; Convex function; Convex optimization; Applied mathematics; Mathematical optimization; Regular polygon; Outlier; Statistics; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001551268,0.00005359297,0.0001409737,0.00002839956,0.00001975923,0.000007879895,0.00005097005,0.00003431893,0.004294037],"category_scores_gemma":[0.0008421425,0.00004473832,0.000028803,0.00006969683,0.00003727142,0.00003527417,0.00001707097,0.00006039287,0.0002426199],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008643598,"about_ca_system_score_gemma":0.00002012014,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000485585,"about_ca_topic_score_gemma":7.20202e-7,"domain_scores_codex":[0.9994905,0.00004086928,0.0001681222,0.00008936324,0.0001258972,0.00008525175],"domain_scores_gemma":[0.9989873,0.000674887,0.00006536944,0.0001762743,0.00006551154,0.00003063664],"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":[0.00001153686,0.0000532088,0.0006991,0.0001212456,0.00001097242,2.599418e-7,0.0001070629,0.00001586415,0.01460494,0.9326155,0.00287767,0.04888263],"study_design_scores_gemma":[0.0001871934,0.0001426001,0.005067859,0.0000570421,0.00002275171,0.000001881522,0.0001251691,0.02749843,0.003334697,0.9630543,0.0004256547,0.00008244481],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1994287,0.000004984673,0.6393141,0.0001583327,0.0002143378,0.000163463,0.00003225801,0.00004059693,0.1606432],"genre_scores_gemma":[0.7111924,6.301201e-7,0.2877734,0.00001721966,0.00001288274,0.000005101812,0.00000193384,0.000005349577,0.0009910536],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5117636,"threshold_uncertainty_score":0.9966162,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05669506225560653,"score_gpt":0.3496536623629106,"score_spread":0.2929586001073041,"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."}}