{"id":"W32014750","doi":"","title":"On approximation properties of sampling operators defined by dilated kernels","year":2009,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Computer science; Sampling (signal processing); Mathematics; Filter (signal processing); Computer vision","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.006571037,0.0003873654,0.0007831675,0.000183175,0.0001858533,0.0001972631,0.0007706484,0.0003287166,0.0001292552],"category_scores_gemma":[0.003962169,0.0003187356,0.0003350428,0.0003454131,0.0001426672,0.00008618714,0.0002693421,0.0005444724,0.00001072014],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007189401,"about_ca_system_score_gemma":0.0001084965,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001681508,"about_ca_topic_score_gemma":0.00007169275,"domain_scores_codex":[0.9942305,0.003303384,0.001032154,0.0005791721,0.0005709358,0.0002838169],"domain_scores_gemma":[0.9945208,0.001801273,0.0006610141,0.001500792,0.001387833,0.0001282404],"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":[0.00003065019,0.002371678,0.00004247898,0.001787878,0.0002841736,7.304253e-7,0.006881644,0.0001351921,0.0237763,0.9402102,0.0004902521,0.02398886],"study_design_scores_gemma":[0.000513793,0.00000142234,0.00005046686,0.005699515,0.000229434,0.000001999446,0.00008158684,0.0358911,0.4706293,0.4860457,0.0003259261,0.000529666],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3235524,0.0004648349,0.6545619,0.002118674,0.00005010877,0.000650941,0.000050379,0.0001832691,0.01836748],"genre_scores_gemma":[0.7246689,0.0001817353,0.2731941,0.00004256779,0.000008337031,0.0000624758,0.0001786482,0.00004798322,0.001615233],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4541644,"threshold_uncertainty_score":0.9999264,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05495261899162505,"score_gpt":0.2907297870991539,"score_spread":0.2357771681075289,"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."}}