{"id":"W2143755090","doi":"10.1109/tsp.2002.806996","title":"Algebraic theory of optimal filterbanks","year":2003,"lang":"en","type":"article","venue":"IEEE Transactions on Signal Processing","topic":"Water Systems and Optimization","field":"Engineering","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Algebraic number; Mathematical optimization; Applied mathematics; Discrete mathematics; Algebra over a field; Pure mathematics; Mathematical analysis","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":[0.00120735,0.0006632294,0.0005587587,0.001240446,0.0006132351,0.00196154,0.0005395881,0.0006677411,0.004291985],"category_scores_gemma":[0.003040071,0.0003145156,0.0007665973,0.0009514259,0.001825749,0.002138186,0.001097378,0.001414815,0.0007319911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001377431,"about_ca_system_score_gemma":0.0007387066,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008058103,"about_ca_topic_score_gemma":0.0009346705,"domain_scores_codex":[0.9987985,0.000318021,0.00009522968,0.0001798751,0.000487558,0.0001207432],"domain_scores_gemma":[0.9988167,0.0005063475,0.0001764287,0.00008362754,0.0003423931,0.00007438582],"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":[0.00001168102,0.000009117362,0.0001028065,0.00003364536,0.000009449452,0.00002715548,0.00004077733,0.01723755,0.001157083,0.9700558,0.000631013,0.01068394],"study_design_scores_gemma":[0.00001207292,0.00006637353,0.0002227699,0.0000285618,0.00001519546,0.00007659206,0.00005529534,0.1387495,0.001303769,0.8483292,0.0111227,0.00001810933],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01775707,0.000491326,0.9615952,0.0004724951,0.00006883452,0.00003275464,0.0001963529,0.00008627502,0.01929975],"genre_scores_gemma":[0.5806199,0.00231528,0.3958099,0.0004979201,0.000595818,0.0002992212,0.0007717522,0.0001912911,0.01889898],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004291985,"threshold_uncertainty_score":0.0143581,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01271696182907751,"score_gpt":0.199559815822734,"score_spread":0.1868428539936565,"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."}}