{"id":"W1940425983","doi":"10.1109/mwscas.1996.594227","title":"A residue number system implementation of real orthogonal transforms via approximation over a direct product of quadratic number rings","year":2002,"lang":"en","type":"article","venue":"","topic":"Digital Filter Design and Implementation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Windsor","funders":"","keywords":"Quadratic residue; Residue number system; Quadratic equation; Computation; Quantization (signal processing); Mathematics; Multiplication (music); Ring (chemistry); Moduli; Real number; Discrete mathematics; Algorithm; Combinatorics","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":[],"consensus_categories":[],"category_scores_codex":[0.0003236801,0.0001524544,0.0002440537,0.00008406603,0.00004405601,0.00007602059,0.0002574924,0.00003003543,0.0003966123],"category_scores_gemma":[0.000005732077,0.0001288726,0.0000898547,0.0004616814,0.00002919196,0.001628002,0.00003805414,0.00004257612,0.00004501136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006534503,"about_ca_system_score_gemma":0.00003223919,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005970485,"about_ca_topic_score_gemma":0.0001208995,"domain_scores_codex":[0.9981689,0.00006872126,0.0007079818,0.0003236818,0.0005096865,0.0002209581],"domain_scores_gemma":[0.9991701,0.00004117619,0.0002789524,0.0003206982,0.0001351872,0.00005394908],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00009730688,0.000816865,0.123067,0.002464394,0.0003335541,0.00001116634,0.02202103,0.0000497407,0.0571666,0.4995629,0.005626024,0.2887835],"study_design_scores_gemma":[0.005404612,0.0007610267,0.17258,0.0003470801,0.0001393268,0.0001850709,0.002060091,0.1074869,0.7041489,0.005170655,0.0004553914,0.001260888],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5432684,0.000006977917,0.3745517,0.0001386183,0.0001470612,0.0009693213,0.00002482328,0.0001706326,0.08072244],"genre_scores_gemma":[0.9866652,0.000005463841,0.01285449,0.00002232301,0.00002490347,0.0000472594,0.00002431379,0.00001113744,0.0003448433],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6469824,"threshold_uncertainty_score":0.5255274,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02016238069282504,"score_gpt":0.2749448148314227,"score_spread":0.2547824341385976,"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."}}