{"id":"W6902155108","doi":"10.6084/m9.figshare.5280055","title":"Optimal Penalized Function-on-Function Regression Under a Reproducing Kernel Hilbert Space Framework","year":2019,"lang":"en","type":"article","venue":"Figshare","topic":"Statistical Methods and Inference","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Reproducing kernel Hilbert space; Representer theorem; Hilbert space; Estimator; Minimax; Functional data analysis; Subspace topology; Nonparametric regression; Least-squares function approximation; Sobolev space","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.006856403,0.0009810489,0.00148516,0.0007562155,0.0003782019,0.00114463,0.002072798,0.00184112,0.002181698],"category_scores_gemma":[0.01649056,0.0006407547,0.0009917978,0.0008367917,0.001838416,0.001831684,0.001958975,0.002372345,0.0007344098],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001117014,"about_ca_system_score_gemma":0.002057078,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004000231,"about_ca_topic_score_gemma":0.003091658,"domain_scores_codex":[0.9969116,0.00211848,0.00009685691,0.0003842463,0.0003402208,0.0001486099],"domain_scores_gemma":[0.9928924,0.005104763,0.0004895833,0.0006813068,0.000665452,0.0001665881],"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":[0.0001132113,0.0000718454,0.001063288,0.0001545889,0.0001094241,0.0001124913,0.00009603704,0.8069381,0.002868725,0.1440523,0.003043527,0.04137648],"study_design_scores_gemma":[0.000007649683,0.00001426026,0.0001267796,0.000005050175,0.000004588954,0.00001227139,0.000003876852,0.9798415,0.000301676,0.01926593,0.000407774,0.000008681653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002904995,0.00008116868,0.9964401,0.0001659638,0.00001161512,0.00001551978,0.000043785,0.0001247655,0.0002119811],"genre_scores_gemma":[0.2252279,0.0005190845,0.7670662,0.0004269393,0.0001805774,0.0004259644,0.0008924293,0.0005078367,0.004753028],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.006856403,"threshold_uncertainty_score":0.03626055,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1047177722107266,"score_gpt":0.3674400488190087,"score_spread":0.2627222766082821,"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."}}