{"id":"W1965045620","doi":"10.1109/acc.2012.6315603","title":"Motion planning by the homotopy continuation method for control-affine systems","year":2012,"lang":"en","type":"article","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Sublinear function; Affine transformation; Continuation; Mathematics; Homotopy; Homotopy analysis method; Motion (physics); Constraint (computer-aided design); Class (philosophy); Control theory (sociology); Set (abstract data type); Process (computing); Simple (philosophy); Applied mathematics; Computer science; Control (management); Calculus (dental); Mathematical optimization; Mathematical analysis; Artificial intelligence; Pure mathematics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001386707,0.0006227773,0.0006292903,0.0007263034,0.000509271,0.000542761,0.0007284137,0.000858377,0.00117687],"category_scores_gemma":[0.00178751,0.0003512619,0.0007686467,0.0003809678,0.001219935,0.0007595012,0.001161066,0.0009833589,0.0001620294],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006529276,"about_ca_system_score_gemma":0.001046101,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002176263,"about_ca_topic_score_gemma":0.001472336,"domain_scores_codex":[0.999779,0.0001165483,0.000009788153,0.0000268998,0.00005468679,0.00001307304],"domain_scores_gemma":[0.9996673,0.0002259454,0.00002587582,0.0000239696,0.00003651659,0.00002042607],"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":[0.00007446387,0.00005470296,0.0004881079,0.0001835516,0.00006756466,0.0001819891,0.000271529,0.692015,0.01210991,0.2191886,0.0006456621,0.07471894],"study_design_scores_gemma":[0.00001057571,0.00004667995,0.00004897128,0.00001547434,0.000005061123,0.00001667533,0.00001467695,0.9619565,0.0007242289,0.03595851,0.001194437,0.000008171265],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0122826,0.0003520568,0.98516,0.0001271899,0.00002198339,0.00004038625,0.000009022449,0.00005236397,0.001954294],"genre_scores_gemma":[0.4674642,0.001107087,0.5257581,0.00008229828,0.0000677504,0.0004268746,0.00006427558,0.00008677349,0.004942661],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002176263,"threshold_uncertainty_score":0.007333696,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0522389870141269,"score_gpt":0.3717533016654606,"score_spread":0.3195143146513337,"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."}}