{"id":"W4407560818","doi":"10.4171/owr/2024/35","title":"Polynomial Optimization for Nonlinear Dynamics: Theory, Algorithms and Applications","year":2025,"lang":"en","type":"article","venue":"Oberwolfach Reports","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Agence Nationale de la Recherche; National Science Foundation","keywords":"Nonlinear system; Polynomial; Partial differential equation; Dynamical systems theory; Ordinary differential equation; Computer science; Mathematics; Applied mathematics; Algebraic number; Algebra over a field; Mathematical optimization; Differential equation; Mathematical analysis; 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":[0.0003429027,0.0001160385,0.0001388512,0.0001148697,0.000216599,0.0001563672,0.0001761239,0.00006420058,0.000003793597],"category_scores_gemma":[0.00005178112,0.0001138349,0.00005386622,0.0002608218,0.00004173749,0.0002274699,0.0001427666,0.00006059946,0.000001339825],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005725185,"about_ca_system_score_gemma":0.0001187693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001980034,"about_ca_topic_score_gemma":0.000008112468,"domain_scores_codex":[0.9989549,0.00002583425,0.0003237981,0.0004253594,0.00009454793,0.0001755826],"domain_scores_gemma":[0.9992202,0.0001253417,0.0001464609,0.0003565707,0.00009093226,0.0000604886],"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":[0.000010358,0.00008539574,0.0003540874,0.00003857982,0.00003803047,0.000008873747,0.00008119611,0.006635128,0.00004494354,0.06266937,0.001727094,0.9283069],"study_design_scores_gemma":[0.0002248903,0.00002720143,0.0004438271,0.00001299734,0.00001777054,0.00005090926,0.00001260438,0.9523568,0.0002654662,0.02355293,0.02288893,0.0001456833],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001106337,0.0001602336,0.9949289,0.0008381632,0.0004010513,0.0005541556,0.00000757912,0.0001522868,0.001851282],"genre_scores_gemma":[0.2456742,0.0000362291,0.7470955,0.0008814266,0.0005587623,0.0006993571,0.0002830588,0.00002920286,0.004742298],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9457217,"threshold_uncertainty_score":0.4642051,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006668857016302725,"score_gpt":0.2453316085820612,"score_spread":0.2386627515657584,"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."}}