{"id":"W1726244176","doi":"","title":"Comment on \\The Hadamard circulant conjecture\"","year":2011,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University; University of Manitoba","funders":"","keywords":"Circulant matrix; Hadamard matrix; Conjecture; Mathematics; Hadamard transform; Combinatorics; Hadamard three-lines theorem; Hadamard's inequality; Hadamard's maximal determinant problem; Matrix (chemical analysis); Identity matrix; Complex Hadamard matrix; Permutation matrix; Physics; Eigenvalues and eigenvectors; Mathematical analysis; Quantum mechanics","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":[0.003799262,0.0008175666,0.0008013643,0.0009643556,0.002653256,0.002084101,0.004416359,0.01345669,0.01294218],"category_scores_gemma":[0.02747628,0.0003632092,0.0007102137,0.00118248,0.006544933,0.007330286,0.002244806,0.01923184,0.007073086],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001911227,"about_ca_system_score_gemma":0.001291366,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004590836,"about_ca_topic_score_gemma":0.002126417,"domain_scores_codex":[0.9968705,0.0007058949,0.0002405755,0.0006716027,0.001261253,0.0002502852],"domain_scores_gemma":[0.9829462,0.009413541,0.001077628,0.001273285,0.004337549,0.0009518534],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003796033,0.00001268252,0.0002193798,0.00008785917,0.000007219116,0.0003974572,0.0001994585,0.0001515686,0.0001948055,0.05596294,0.9378356,0.004893073],"study_design_scores_gemma":[0.00006604875,0.00003944617,0.0009016524,0.0002355804,0.00001181335,0.001746538,0.000653028,0.001125211,0.0009510377,0.174851,0.8193457,0.00007306066],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"commentary","genre_gemma":"commentary","genre_scores_codex":[0.0009849871,0.001716901,0.001681949,0.9515352,0.03593831,0.000008094452,0.0002165268,0.0001622968,0.007755693],"genre_scores_gemma":[0.03133298,0.00243409,0.001189015,0.8820827,0.07311999,0.00003257173,0.0001852376,0.0001251129,0.009498269],"genre_candidate":"commentary","genre_consensus":"commentary","teacher_disagreement_score":0.01345669,"threshold_uncertainty_score":0.04329586,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0678257273384302,"score_gpt":0.1462636615740821,"score_spread":0.0784379342356519,"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."}}