{"id":"W3127501635","doi":"","title":"Universal approximation power of deep residual neural networks via nonlinear control theory","year":2021,"lang":"en","type":"article","venue":"International Conference on Learning Representations","topic":"Model Reduction and Neural Networks","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Controllability; Residual; Uniform norm; Artificial neural network; Function approximation; Mathematics; Applied mathematics; Monotonic function; Mathematical optimization; Computer science; Nonlinear system; Discrete mathematics; Algorithm; Artificial intelligence; 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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0001162163,0.0001139138,0.0001378171,0.00008043666,0.0001180188,0.00006267126,0.000148784,0.00004255687,0.004179504],"category_scores_gemma":[0.0000460048,0.0001177149,0.00009890783,0.0001342128,0.00007446544,0.000178868,0.00003999006,0.0003450475,0.00001661661],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000018213,"about_ca_system_score_gemma":0.00004358537,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002968224,"about_ca_topic_score_gemma":0.000002619053,"domain_scores_codex":[0.9988672,0.0002257521,0.000259774,0.0002562315,0.0002537055,0.0001373183],"domain_scores_gemma":[0.9989481,0.000201549,0.0001927295,0.000158507,0.0004423901,0.00005673471],"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":[0.000204634,0.0002301432,0.01259575,0.000002734508,0.0002337329,0.000008311216,0.0008283748,0.6418163,0.002140968,0.3167567,0.0001724223,0.02501],"study_design_scores_gemma":[0.0006929231,0.00004457728,0.002270532,0.00001638013,0.00002399752,0.000004410086,0.001760814,0.9894236,0.0008144093,0.004634321,0.0001945885,0.0001194498],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1824958,0.00002149014,0.7518427,0.001799355,0.0007832074,0.0001772132,0.00002843357,0.00006055102,0.06279127],"genre_scores_gemma":[0.9969128,0.000004883911,0.0004146285,0.00006520332,0.0002833906,0.00001263023,0.0002818727,0.00001251116,0.002012101],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8144169,"threshold_uncertainty_score":0.9967308,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01787769868776137,"score_gpt":0.2882457914256486,"score_spread":0.2703680927378873,"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."}}