{"id":"W2025002994","doi":"10.2478/bf02475663","title":"Error autocorrection in rational approximation and interval estimates. [A survey of results.]","year":2003,"lang":"en","type":"article","venue":"Open Mathematics","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Interval (graph theory); Padé approximant; Rational function; Approximation error; Function (biology); Applied mathematics; Approximation theory; Discretization error; Nonlinear system; Error function; Mathematical analysis; Discretization; Algorithm; Combinatorics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.01294603,0.001550351,0.002295566,0.004512013,0.0008659892,0.002986493,0.001809089,0.001473201,0.004451183],"category_scores_gemma":[0.05259553,0.001102146,0.002604723,0.004318399,0.004039288,0.003396495,0.003021863,0.004388933,0.001397869],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002464998,"about_ca_system_score_gemma":0.001037729,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003867329,"about_ca_topic_score_gemma":0.001047319,"domain_scores_codex":[0.9912251,0.004163098,0.0005368831,0.0008873871,0.002851916,0.0003356726],"domain_scores_gemma":[0.9635252,0.02784599,0.001699693,0.003191438,0.003429646,0.0003079886],"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":[0.0004104692,0.000103002,0.002316102,0.001751705,0.0003503054,0.0003649695,0.0005296346,0.05641987,0.001500804,0.6866836,0.01051005,0.2390594],"study_design_scores_gemma":[0.0000576917,0.0003162081,0.002586676,0.0008552587,0.0003749007,0.000644505,0.0001700882,0.3453442,0.00391276,0.5910959,0.05447904,0.0001626552],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"review","genre_scores_codex":[0.009928119,0.08074533,0.8742093,0.001259891,0.001713929,0.00006895556,0.0001297564,0.000617986,0.03132675],"genre_scores_gemma":[0.5241046,0.07448925,0.3788211,0.001732787,0.004877803,0.0003746865,0.0005789306,0.001218474,0.01380238],"genre_candidate":"review","genre_consensus":null,"teacher_disagreement_score":0.01294603,"threshold_uncertainty_score":0.06846601,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09373096529857693,"score_gpt":0.3649350145319173,"score_spread":0.2712040492333404,"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."}}