{"id":"W2145896379","doi":"10.13001/1081-3810.1270","title":"A further look into combinatorial orthogonality","year":2008,"lang":"en","type":"article","venue":"Electronic Journal of Linear Algebra","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Converse; Unitary state; Block matrix; Orthogonality; Unitary matrix; Matrix (chemical analysis); Degree (music); Circular ensemble; Combinatorics; Pure mathematics; Algebra over a field; Eigenvalues and eigenvectors","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":[0.0006682444,0.0001541872,0.0003023845,0.0001040496,0.00008510352,0.00001017307,0.000239071,0.00009395081,0.0001090034],"category_scores_gemma":[0.00003055895,0.0001347534,0.0002024451,0.0002048727,0.00005816448,0.0001618856,0.00001300881,0.0006210547,0.00005633263],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001215761,"about_ca_system_score_gemma":0.0001795318,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004525645,"about_ca_topic_score_gemma":0.000006005786,"domain_scores_codex":[0.9986546,0.00009624464,0.0004729827,0.00008707638,0.0002786294,0.0004104754],"domain_scores_gemma":[0.9994545,0.00005190877,0.0001208441,0.0001644397,0.0001015722,0.0001067159],"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":[0.001549922,0.001105113,0.02227972,0.0005087892,0.004512384,0.001062319,0.01904082,0.01012329,0.0471822,0.8710644,0.01115922,0.0104118],"study_design_scores_gemma":[0.01341541,0.003844266,0.00616909,0.0003633144,0.0003873227,0.01044856,0.001370706,0.004743187,0.05551541,0.6942433,0.2071304,0.002369034],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9912157,0.003939435,0.002635381,0.0000683843,0.001079408,0.00006809474,8.688748e-7,0.00006407523,0.0009286512],"genre_scores_gemma":[0.9986552,0.0002642258,0.00007971512,0.00002895624,0.0008540067,0.000001771788,0.000001207129,0.00003306475,0.00008185428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1959712,"threshold_uncertainty_score":0.5495083,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005878386680850079,"score_gpt":0.2029667290773395,"score_spread":0.1970883423964894,"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."}}