{"id":"W3096481250","doi":"10.3390/sym12111828","title":"Central Splitting of A2 Discrete Fourier–Weyl Transforms","year":2020,"lang":"en","type":"article","venue":"Symmetry","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Grantová Agentura České Republiky","keywords":"Mathematics; Fourier transform; Weyl group; Lattice (music); Homogeneous space; Affine transformation; Pure mathematics; Fourier transform on finite groups; Mathematical analysis; Fourier analysis; Fractional Fourier transform; Physics; 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":[0.0004623721,0.0005407652,0.0002993157,0.001168298,0.0004734498,0.001316556,0.0004745767,0.0004833116,0.006080446],"category_scores_gemma":[0.001321117,0.0001500891,0.0004570183,0.0005057833,0.001741871,0.001503132,0.000872498,0.001077367,0.0009001902],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004148439,"about_ca_system_score_gemma":0.0004508927,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004740237,"about_ca_topic_score_gemma":0.000248125,"domain_scores_codex":[0.9996613,0.00006475321,0.00001259788,0.00006318013,0.000126882,0.00007125211],"domain_scores_gemma":[0.9996184,0.00006011072,0.00005666061,0.00008074891,0.0001011406,0.00008288738],"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":[0.00007314704,0.00003924921,0.0002097804,0.00002612131,0.000006453403,0.0001077541,0.0001409973,0.003122517,0.01491997,0.965438,0.0006823651,0.01523363],"study_design_scores_gemma":[0.00004301857,0.0001730284,0.001340598,0.00002764634,0.00001082202,0.0006885118,0.0002654961,0.1375301,0.02078301,0.8309385,0.008139559,0.00005964455],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4977516,0.0004259584,0.41915,0.0003136283,0.0002504143,0.00008878281,0.0001911467,0.0003383881,0.08149012],"genre_scores_gemma":[0.9444802,0.0002487002,0.0405938,0.000111727,0.0001555836,0.00006176721,0.0001642642,0.0001530037,0.01403087],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006080446,"threshold_uncertainty_score":0.0203411,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06449773918875666,"score_gpt":0.3379763552810736,"score_spread":0.2734786160923169,"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."}}