{"id":"W3095396796","doi":"10.1016/j.automatica.2021.109788","title":"On the lack of monotonicity of Newton–Hewer updates for Riccati equations","year":2021,"lang":"en","type":"preprint","venue":"Automatica","topic":"Model Reduction and Neural Networks","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monotonic function; Riccati equation; Algebraic Riccati equation; Mathematics; Counterexample; Contrast (vision); Applied mathematics; Set (abstract data type); Algebraic equation; Mathematical analysis; Computer science; Discrete mathematics; Differential equation; Physics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001286859,0.000138711,0.0003031063,0.00003067671,0.00005601682,0.00002556636,0.000216747,0.00006617732,0.0009037443],"category_scores_gemma":[0.00003839799,0.00009924392,0.0002401303,0.00008002388,0.00006093818,0.00002352551,0.0001367809,0.0001991586,0.000005403659],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009226718,"about_ca_system_score_gemma":0.0001056719,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006120942,"about_ca_topic_score_gemma":0.000001332406,"domain_scores_codex":[0.9991286,0.00005992945,0.0003708762,0.0001905479,0.000130923,0.0001191412],"domain_scores_gemma":[0.9984364,0.0005571501,0.0003417184,0.0004962884,0.0001388409,0.00002960067],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002054831,0.0005451578,0.0001541624,0.0002689626,0.0004945562,9.588105e-8,0.0009001817,0.05009641,0.0006028662,0.9205548,0.01882929,0.007532977],"study_design_scores_gemma":[0.0002678756,0.00004975192,0.0003813436,0.0003042022,0.0001629467,9.912702e-8,0.000362493,0.8294393,0.01817163,0.1500531,0.0005897521,0.0002174694],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7640794,0.00007774181,0.2191338,0.005393718,0.0005844252,0.001531719,0.0002597051,0.00005112843,0.008888372],"genre_scores_gemma":[0.9972245,0.000005090205,0.001861055,0.00007185147,0.00008754958,0.0001606875,0.0001395986,0.0000144824,0.0004352237],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7793429,"threshold_uncertainty_score":0.9895366,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07040166394093642,"score_gpt":0.329290619989698,"score_spread":0.2588889560487616,"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."}}