{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002354148,0.0006388062,0.0006305787,0.0009767077,0.0004982447,0.001166351,0.0006476207,0.0008496916,0.001483781],"category_scores_gemma":[0.008345552,0.0002612202,0.0007810799,0.0007267995,0.002211063,0.003053352,0.001126705,0.00138676,0.0001781481],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008133434,"about_ca_system_score_gemma":0.0003896783,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009091512,"about_ca_topic_score_gemma":0.0004877246,"domain_scores_codex":[0.9990202,0.0003944272,0.00004451175,0.0001650634,0.0002753731,0.0001003612],"domain_scores_gemma":[0.9959815,0.002487198,0.0005207668,0.0002995029,0.0004907968,0.0002203152],"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":[0.0001801665,0.00004914456,0.001025792,0.0001770809,0.00004416349,0.000294817,0.0004492704,0.06375027,0.02683476,0.8901742,0.0005892956,0.01643101],"study_design_scores_gemma":[0.00001845071,0.000117188,0.001045333,0.00002903725,0.00002324252,0.0003250745,0.0001158126,0.7344342,0.004605758,0.2575839,0.001655976,0.00004597882],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.2316285,0.001057256,0.7598076,0.0003586235,0.00008778705,0.00002985958,0.0000725456,0.00009192663,0.006865939],"genre_scores_gemma":[0.9122694,0.001425945,0.0807361,0.0001873266,0.0002130457,0.00005743204,0.0001370158,0.0001066453,0.004867137],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002354148,"threshold_uncertainty_score":0.01245004,"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."}}