{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009303316,0.0005382613,0.0004740902,0.0003705067,0.0002390841,0.0005568561,0.0006314107,0.0004716446,0.001372491],"category_scores_gemma":[0.002208622,0.0002259573,0.0005246766,0.0001944284,0.001688128,0.001633246,0.00139252,0.0009733425,0.0001210821],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005770711,"about_ca_system_score_gemma":0.0003274604,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001314356,"about_ca_topic_score_gemma":0.0008843695,"domain_scores_codex":[0.9996175,0.0001020197,0.00001860487,0.0001024123,0.0001052832,0.00005418088],"domain_scores_gemma":[0.999384,0.0003106237,0.0001037657,0.00009191657,0.00007105689,0.00003859967],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000046645,0.00002299101,0.0006919785,0.00009793043,0.00002986576,0.0001300126,0.0001893085,0.3755665,0.01079846,0.5941505,0.0004134204,0.01786227],"study_design_scores_gemma":[0.000003362209,0.00003320822,0.0001280038,0.000007358968,0.00000431368,0.00002335145,0.00001306903,0.9026847,0.001139558,0.09551578,0.0004415838,0.00000565186],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05660612,0.0003221038,0.9372419,0.0002992516,0.00002351662,0.00001571874,0.00003972544,0.000164569,0.005287092],"genre_scores_gemma":[0.9684664,0.0002941288,0.02903675,0.00008280555,0.00003797758,0.00003617589,0.0000475759,0.0000464195,0.001951808],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001372491,"threshold_uncertainty_score":0.004920065,"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."}}