{"id":"W1993905554","doi":"10.1142/s0219691314500131","title":"RATIONAL TIME-FREQUENCY GABOR FRAMES ASSOCIATED WITH PERIODIC SUBSETS OF THE REAL LINE","year":2013,"lang":"en","type":"article","venue":"International Journal of Wavelets Multiresolution and Information Processing","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Gabor transform; Mathematics; Dual polyhedron; Combinatorics; Real line; Gabor wavelet; Product (mathematics); Expression (computer science); Frame (networking); Uniqueness; Time–frequency analysis; Mathematical analysis; Computer science; Artificial intelligence; Computer vision; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0002517694,0.0004264688,0.0002815894,0.001236775,0.0003632045,0.001324536,0.0003408148,0.0004113445,0.002871579],"category_scores_gemma":[0.0006017184,0.0001843787,0.0002960491,0.0005836439,0.001101664,0.0007891828,0.0004361572,0.0004997615,0.0004063997],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006607273,"about_ca_system_score_gemma":0.0001775783,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003257189,"about_ca_topic_score_gemma":0.0003577116,"domain_scores_codex":[0.9998373,0.00002747549,0.000007594251,0.00004013632,0.00003825053,0.00004916255],"domain_scores_gemma":[0.9997233,0.00004350315,0.0001139644,0.00002589524,0.00004381363,0.00004956385],"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":[0.0002098516,0.00004138469,0.001188982,0.00007227165,0.00001465887,0.0005401405,0.0003737819,0.003681907,0.04317071,0.9269199,0.001477039,0.02230938],"study_design_scores_gemma":[0.0001177076,0.0003731951,0.01051577,0.0001226829,0.00006358054,0.00205549,0.00117341,0.2121652,0.03395151,0.7204964,0.01879547,0.0001696019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7676744,0.0007460197,0.195554,0.0002849099,0.0003247124,0.00004722472,0.0001930956,0.0001671706,0.03500855],"genre_scores_gemma":[0.9697255,0.0003794066,0.02363821,0.00005324949,0.0001724314,0.00004271977,0.0001261313,0.00004575594,0.005816577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002871579,"threshold_uncertainty_score":0.009606361,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0203406063623708,"score_gpt":0.2958311765820138,"score_spread":0.275490570219643,"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."}}