{"id":"W1544671383","doi":"10.1023/a:1009942122633","title":"Effective Computation of Rational Approximants and Interpolants","year":2000,"lang":"en","type":"article","venue":"Reliable Computing","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Computation; Symbolic computation; Mathematics; Path (computing); Vandermonde matrix; Toeplitz matrix; Polynomial; Algorithm; Computer science; Pure mathematics","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":[0.0003597085,0.00008371855,0.000141628,0.00005663631,0.00010407,0.00005123565,0.0001887779,0.00003097792,0.00001363019],"category_scores_gemma":[0.00001654238,0.00007951244,0.0000255901,0.0001922419,0.00003699452,0.0002002113,0.00009820445,0.0000787282,0.00001624189],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001208079,"about_ca_system_score_gemma":0.00001624152,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000108616,"about_ca_topic_score_gemma":1.505456e-7,"domain_scores_codex":[0.9992492,0.00006566961,0.0001910954,0.0002233962,0.000129849,0.0001408259],"domain_scores_gemma":[0.9995637,0.000155689,0.0000770512,0.0001168523,0.00004662273,0.00004006284],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002325701,0.00008283569,0.001068419,0.000102394,0.0000275025,0.000006699733,0.001160468,0.01190112,0.0005948447,0.03910555,0.0001163811,0.9458106],"study_design_scores_gemma":[0.0003293635,0.00006613993,0.003405932,0.0001104318,0.000002944455,0.0000281963,0.00001145426,0.9847342,0.001457181,0.009597123,0.0001589477,0.00009805086],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3734692,0.0001590394,0.623257,0.00003665225,0.0001148455,0.0001450809,9.334676e-7,0.00006818261,0.002749143],"genre_scores_gemma":[0.9509382,0.00000765248,0.04888437,0.00004732806,0.00005001089,0.000001488243,0.000001785947,0.000004144613,0.00006500526],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9728331,"threshold_uncertainty_score":0.3242423,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006351138298687647,"score_gpt":0.2388861123183852,"score_spread":0.2325349740196976,"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."}}