{"id":"W1987744893","doi":"10.1007/s00526-010-0308-4","title":"Continuity of optimal control costs and its application to weak KAM theory","year":2010,"lang":"en","type":"article","venue":"Calculus of Variations and Partial Differential Equations","topic":"Quantum chaos and dynamical systems","field":"Physics and Astronomy","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Kolmogorov–Arnold–Moser theorem; Affine transformation; Control (management); Pure mathematics; Optimal control; Calculus (dental); Mathematical economics; Mathematical analysis; Hamiltonian system; Mathematical optimization; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001718363,0.0001095746,0.0002443876,0.00005736214,0.0001304809,0.00002873868,0.00007599536,0.00005905338,0.0001534094],"category_scores_gemma":[0.00005920046,0.00009820006,0.00006323049,0.0001091973,0.00006350012,0.00006310934,0.00004072502,0.00009884906,0.000005536989],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004921824,"about_ca_system_score_gemma":0.00003037867,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002958882,"about_ca_topic_score_gemma":0.00004321862,"domain_scores_codex":[0.9991326,0.0000669376,0.000359478,0.0001843055,0.0001179684,0.0001387598],"domain_scores_gemma":[0.9991271,0.000245635,0.00017021,0.0001539541,0.0001639105,0.0001391113],"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":[0.00002683878,0.0001149191,0.0007881119,0.000009244681,0.00004874094,1.678028e-8,0.0001952603,0.0001173304,0.07366406,0.9207131,0.000004077366,0.004318266],"study_design_scores_gemma":[0.00143983,0.0001224245,0.02618487,0.00002374804,0.0002072898,3.977057e-7,0.0001392099,0.963691,0.004353629,0.003393592,0.0002197207,0.0002243037],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.333113,0.00001222865,0.6657323,0.00007639368,0.00009908068,0.0003312423,0.0002718522,0.000007699272,0.0003561788],"genre_scores_gemma":[0.9995237,7.698401e-7,0.0000908018,0.000007258413,0.0001584742,0.000092577,0.00006586881,0.000008045778,0.00005249364],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9635736,"threshold_uncertainty_score":0.4004482,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006094425311734692,"score_gpt":0.24675299713818,"score_spread":0.2406585718264453,"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."}}