{"id":"W2082089361","doi":"10.1016/j.jat.2006.03.008","title":"Bivariate Lagrange interpolation at the Padua points: The generating curve approach","year":2006,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Advanced Numerical Analysis Techniques","field":"Engineering","cited_by":127,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"","keywords":"Mathematics; Interpolation (computer graphics); Bivariate analysis; Trigonometric interpolation; Lagrange polynomial; Birkhoff interpolation; Simple (philosophy); Applied mathematics; Polynomial interpolation; Lebesgue integration; Linear interpolation; Pure mathematics; Mathematical analysis; Statistics","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":[0.001436881,0.0001267639,0.0001735,0.00008798253,0.0001584296,0.00005855856,0.0002331621,0.00004976033,0.00004305972],"category_scores_gemma":[0.00009017074,0.00006573964,0.0001451214,0.0002753791,0.00006667434,0.0002982565,0.00003617409,0.0002715817,0.000007938244],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001063671,"about_ca_system_score_gemma":0.000006164003,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004249944,"about_ca_topic_score_gemma":0.00000306777,"domain_scores_codex":[0.9987791,0.0002300578,0.0005267427,0.00007837598,0.000252992,0.0001327497],"domain_scores_gemma":[0.9990845,0.0002349324,0.0003517602,0.0001942258,0.0001112371,0.0000233263],"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":[0.0002724544,0.0003240246,0.0007063695,0.0002073255,0.0006992055,0.000008395559,0.004466005,0.4658093,0.2214836,0.1884207,0.01793008,0.09967251],"study_design_scores_gemma":[0.0003476504,0.00004903292,0.0006316531,0.00004593028,0.0001328855,0.00008980949,0.0005978876,0.8147193,0.0144616,0.1646887,0.004002124,0.0002334756],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02801923,0.0006171162,0.9672652,0.0003441691,0.00008471162,0.0001374702,0.000002335794,0.00008516742,0.003444603],"genre_scores_gemma":[0.9290912,0.0000447874,0.07006123,0.0001579531,0.0004248388,0.0000174358,0.00001257214,0.00003213764,0.0001578511],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.901072,"threshold_uncertainty_score":0.2680785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006853733283551202,"score_gpt":0.2161392506115856,"score_spread":0.2092855173280344,"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."}}