{"id":"W2767974845","doi":"10.1016/j.acha.2016.07.001","title":"Decomposition matrices for the special case of data on the triangular lattice of SU(3)","year":2016,"lang":"en","type":"article","venue":"Applied and Computational Harmonic Analysis","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Equilateral triangle; Lattice (music); Triangular matrix; Hexagonal lattice; Decomposition theorem; Pure mathematics; Decomposition; Simple (philosophy); Combinatorics; Geometry; Condensed matter physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005625586,0.0001018025,0.000281172,0.00008081343,0.0001359157,0.00001535339,0.0002926761,0.00003288447,0.0000399729],"category_scores_gemma":[0.0001438365,0.00005001268,0.0001033351,0.0003539686,0.0001057096,0.00005457527,0.00009393306,0.00004175348,0.000001829168],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001626561,"about_ca_system_score_gemma":0.00002549304,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005027565,"about_ca_topic_score_gemma":0.000004725024,"domain_scores_codex":[0.9990804,0.00003928436,0.0003819073,0.0001845586,0.0002206109,0.00009324961],"domain_scores_gemma":[0.9902208,0.008849238,0.0003805644,0.0004119072,0.000115601,0.0000218315],"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":[0.00008741261,0.00009150276,0.000005715902,0.00003927827,0.0008315317,0.000001682585,0.0001581236,0.0003960759,0.0001088248,0.9917194,0.0002973262,0.006263091],"study_design_scores_gemma":[0.0007202443,0.00003734107,0.00005007174,0.00001720297,0.00185914,0.000008394812,0.0003308408,0.02602674,0.0004536818,0.9702901,0.000125897,0.00008040551],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1903657,0.0001126971,0.8073734,0.00104433,0.00005120375,0.0005419375,0.0002206957,0.00001487202,0.0002751759],"genre_scores_gemma":[0.9733721,0.00001946162,0.02635507,0.0000309373,0.0001504109,0.00002657319,0.00001767217,0.0000097995,0.00001799513],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7830064,"threshold_uncertainty_score":0.2039458,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06307113425960527,"score_gpt":0.3510799753977779,"score_spread":0.2880088411381726,"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."}}