{"id":"W2110512895","doi":"10.1109/acc.2008.4586828","title":"Level set methods for computing reachable sets of systems with differential algebraic equation dynamics","year":2008,"lang":"en","type":"article","venue":"","topic":"Model Reduction and Neural Networks","field":"Physics and Astronomy","cited_by":31,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Differential algebraic equation; Mathematics; Differential equation; Manifold (fluid mechanics); Nonlinear system; Ordinary differential equation; Projection (relational algebra); Set (abstract data type); Applied mathematics; Constraint (computer-aided design); Universal differential equation; State space; Algebraic equation; Computer science; Algorithm; Mathematical analysis","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":[0.0001032596,0.00009421125,0.0001752259,0.00003068642,0.0001066699,0.00001217426,0.00005609985,0.00002731645,0.00003343361],"category_scores_gemma":[0.000001575014,0.00007250539,0.00005394372,0.00006969713,0.00002696517,0.00004429742,0.00001753329,0.00005849656,7.810638e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001246988,"about_ca_system_score_gemma":0.00002411824,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001747782,"about_ca_topic_score_gemma":0.000002292182,"domain_scores_codex":[0.9993948,0.00005436338,0.0001897212,0.0001470749,0.00007547063,0.0001385134],"domain_scores_gemma":[0.9995789,0.00007529501,0.0001220773,0.0001121833,0.00007306028,0.00003850113],"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":[0.0003835968,0.0005173925,0.01764222,0.0002637723,0.000661054,6.785784e-7,0.001415247,0.2257078,0.004264714,0.465502,0.00489207,0.2787495],"study_design_scores_gemma":[0.0004378065,0.0000632872,0.0002767798,0.00001838689,0.00001779547,0.000003296665,0.000167976,0.9972265,0.001143796,0.0004521289,0.00009679965,0.00009545386],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1902095,0.000007308543,0.8084424,0.00002168039,0.0001523045,0.0002183525,0.000019343,0.00001587316,0.0009133162],"genre_scores_gemma":[0.9583036,8.379478e-7,0.04021845,0.000005877773,0.0001413144,0.00001258028,0.0001737516,0.00001280889,0.001130829],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7715188,"threshold_uncertainty_score":0.2956684,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1014072471464164,"score_gpt":0.3394869689631786,"score_spread":0.2380797218167622,"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."}}