{"id":"W2158467171","doi":"10.1109/cdc.2009.5400337","title":"Poisson reduction via feedback invariant distributions","year":2009,"lang":"en","type":"article","venue":"","topic":"Control and Stability of Dynamical Systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Integrable system; Poisson distribution; Quotient; Poisson bracket; Mathematics; Hamiltonian system; Invariant (physics); Poisson manifold; Poisson algebra; Pure mathematics; Hamiltonian (control theory); Mathematical analysis; Algebra over a field; Mathematical physics; Lie algebra; Mathematical optimization; Statistics","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":[0.00006464865,0.00006993454,0.00009865508,0.00001704508,0.00004245334,0.00002303986,0.00005098285,0.00004788356,0.0001186044],"category_scores_gemma":[0.00001012528,0.00006147726,0.00004717898,0.00008886248,0.00001045599,0.00007519807,0.000003664154,0.00007032117,0.0000849811],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000705559,"about_ca_system_score_gemma":0.000002943851,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006394854,"about_ca_topic_score_gemma":0.00004274523,"domain_scores_codex":[0.9995429,0.000009974689,0.0001423941,0.00008983896,0.00006978514,0.0001451429],"domain_scores_gemma":[0.9997741,0.000008570048,0.000007405281,0.0001271104,0.00001744214,0.00006534847],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00004599796,0.000327802,0.0003469185,0.00007641012,0.0001029431,0.000006723478,0.0004007802,0.01352702,0.4998685,0.07704726,0.009986527,0.3982631],"study_design_scores_gemma":[0.001350302,0.0002437001,0.1477366,0.00004368747,0.00004756013,0.0000970562,0.000125248,0.7795836,0.004126407,0.04026221,0.02556473,0.0008189051],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3384624,0.0002261389,0.5883698,0.005557514,0.000809093,0.0004071903,0.00002920268,0.001428646,0.06471002],"genre_scores_gemma":[0.9992242,0.000003276998,0.0003478226,0.00001183902,0.00009766041,0.000003422182,0.00001941285,0.000003675136,0.0002886302],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7660566,"threshold_uncertainty_score":0.250697,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.004979475026776581,"score_gpt":0.1859446810057535,"score_spread":0.1809652059789769,"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."}}