{"id":"W3003210651","doi":"10.5802/smai-jcm.54","title":"Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update","year":2020,"lang":"en","type":"article","venue":"SMAI Journal of Computational Mathematics","topic":"Statistical and numerical algorithms","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Pointwise; Degree (music); Mathematics; Algebraic number; Applied mathematics; Mathematical analysis; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004941483,0.0002108427,0.0004913599,0.00007736998,0.0001037163,0.0001185789,0.0002842592,0.00007261826,0.0002207832],"category_scores_gemma":[0.001002182,0.0001700909,0.00008909745,0.0002085674,0.00009233594,0.0004418676,0.00009076,0.0002620425,0.00001688029],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003142648,"about_ca_system_score_gemma":0.00006616587,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001250834,"about_ca_topic_score_gemma":3.520529e-7,"domain_scores_codex":[0.997938,0.00008915412,0.0009628035,0.0001701721,0.0006276668,0.0002121414],"domain_scores_gemma":[0.9973635,0.001136299,0.0006939826,0.0001042508,0.0003268591,0.0003750715],"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":[0.0005268529,0.003556903,0.0002404485,0.003553526,0.0008827642,0.0001375605,0.01405249,0.002947545,0.001668892,0.8362303,0.04988348,0.08631917],"study_design_scores_gemma":[0.0006966049,0.0002766766,0.00007918268,0.00006776314,0.0000695113,0.0001121483,0.0002910074,0.347036,0.0001187743,0.6508343,0.0002613355,0.0001566832],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1999162,0.0001735233,0.7952154,0.004006388,0.00007658626,0.0002157636,0.00006039753,0.00004851258,0.0002871653],"genre_scores_gemma":[0.2168282,0.00002375795,0.7821102,0.0006912542,0.0002512098,0.000003304244,0.00002415294,0.00004177109,0.00002618772],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.3440885,"threshold_uncertainty_score":0.6936105,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04463491764061851,"score_gpt":0.3018609026791942,"score_spread":0.2572259850385757,"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."}}