{"id":"W4385644074","doi":"10.48550/arxiv.2308.02001","title":"Memory capacity of two layer neural networks with smooth activations","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Machine Learning and ELM","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Artificial neural network; Algebraic number; Rank (graph theory); Computer science; Jacobian matrix and determinant; Hadamard transform; Dimension (graph theory); Layer (electronics); Mathematics; Upper and lower bounds; Discrete mathematics; Theoretical computer science; Algorithm; Applied mathematics; Pure mathematics; Artificial intelligence; Combinatorics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001707872,0.0006896914,0.0009412303,0.0007543826,0.0004381337,0.001912458,0.00191508,0.001185716,0.004555597],"category_scores_gemma":[0.01177285,0.0005638962,0.0007032231,0.0005415915,0.002068913,0.005604676,0.002818183,0.001601201,0.0006847637],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001136155,"about_ca_system_score_gemma":0.000891955,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0019097,"about_ca_topic_score_gemma":0.001374052,"domain_scores_codex":[0.999409,0.0001279327,0.00004709981,0.0001474033,0.00009465253,0.0001740045],"domain_scores_gemma":[0.9945169,0.003605862,0.0004628171,0.0007470144,0.0004143462,0.0002530219],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0008115532,0.0001491477,0.002511071,0.0005356325,0.000142806,0.0002822504,0.0003529769,0.5863397,0.01363803,0.3356721,0.004374912,0.05518997],"study_design_scores_gemma":[0.00002283253,0.0000532513,0.0004069758,0.00003363027,0.00001609341,0.00003908139,0.00002862126,0.8310676,0.002514752,0.1653508,0.0004490271,0.0000174386],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5585318,0.001900159,0.412467,0.003803414,0.0001565012,0.00006677625,0.001058332,0.001203769,0.02081223],"genre_scores_gemma":[0.9728449,0.0006159525,0.02006689,0.0002799289,0.0001027159,0.00009216719,0.0004020449,0.0001071712,0.005488098],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004555597,"threshold_uncertainty_score":0.01523995,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09508457912140833,"score_gpt":0.2061784418389984,"score_spread":0.11109386271759,"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."}}