{"id":"W3045959776","doi":"10.23919/acc45564.2020.9147335","title":"A generalized homotopy operator approach for potential-based realization of nonlinear systems","year":2020,"lang":"en","type":"article","venue":"","topic":"Model Reduction and Neural Networks","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Nonlinear system; Homotopy; Homotopy analysis method; Realization (probability); Differentiable function; Dissipative system; Operator (biology); Vector field; Contraction (grammar); Applied mathematics; Mathematical analysis; Pure mathematics; Physics","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":[0.00004184513,0.00008357207,0.0001649821,0.00001676371,0.00004410681,0.0000263672,0.00006573271,0.00002783353,0.0001191563],"category_scores_gemma":[0.0000012967,0.00006872846,0.00009280706,0.0001048158,0.00001314793,0.00004269916,0.000009473294,0.00003525978,0.000001573591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000003311698,"about_ca_system_score_gemma":0.00003125831,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006934299,"about_ca_topic_score_gemma":5.314791e-8,"domain_scores_codex":[0.9994231,0.00002975296,0.0002023512,0.000164484,0.00008030087,0.00009997134],"domain_scores_gemma":[0.9996668,0.000006384957,0.00007029157,0.00009399949,0.00008832492,0.00007416135],"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":[0.0001989367,0.0002453492,0.0004861073,0.0001723041,0.00008883515,1.802065e-7,0.00008696242,0.8759159,0.01877704,0.08827282,0.01428236,0.001473222],"study_design_scores_gemma":[0.0008048135,0.0000462083,0.000002440689,0.000003936225,0.00001887777,1.048253e-7,0.00006871653,0.9878623,0.008118131,0.00002258335,0.002973076,0.00007874916],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01816258,0.00002471356,0.9796409,0.0001777167,0.00008977945,0.0004937119,0.00005487087,0.00003133328,0.001324407],"genre_scores_gemma":[0.980616,0.000001973308,0.01770652,0.0001716918,0.0005990287,0.00007820009,0.0004029906,0.00001602031,0.000407572],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9624534,"threshold_uncertainty_score":0.2802665,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02761745347313831,"score_gpt":0.2498397340860631,"score_spread":0.2222222806129248,"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."}}