{"id":"W4300436616","doi":"10.12697/acutm.2006.10.07","title":"Some tests criteria for the covariance matrix with fewer observations than the dimension","year":2006,"lang":"en","type":"article","venue":"Acta et Commentationes Universitatis Tartuensis de Mathematica","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Combinatorics; Covariance matrix; Zero (linguistics); Identity matrix; Matrix (chemical analysis); Dimension (graph theory); Exact test; Multivariate random variable; Statistics; Covariance; Discrete mathematics; Random variable; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.06480023,0.002678339,0.00380687,0.008202075,0.002247706,0.004143478,0.007358201,0.005157932,0.00907966],"category_scores_gemma":[0.4059382,0.0008864901,0.004046353,0.007008842,0.008933052,0.00788864,0.004875987,0.005110683,0.001457976],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002512316,"about_ca_system_score_gemma":0.004242268,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001816411,"about_ca_topic_score_gemma":0.001394219,"domain_scores_codex":[0.9211382,0.05100893,0.006743542,0.009181509,0.01026902,0.001658854],"domain_scores_gemma":[0.3675705,0.5816442,0.01544374,0.01631293,0.0155963,0.003432296],"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":[0.002906156,0.0006413946,0.08987111,0.001675111,0.002169583,0.002332785,0.0009336373,0.08057647,0.009573175,0.4571088,0.00927806,0.3429338],"study_design_scores_gemma":[0.001155832,0.003106469,0.02941364,0.0004488716,0.0006459573,0.001643579,0.0007233779,0.4837285,0.01350252,0.45273,0.01238169,0.0005195635],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.05548353,0.00132104,0.9328053,0.00201278,0.0003566877,0.0007245441,0.001241152,0.0007173169,0.005337639],"genre_scores_gemma":[0.3995417,0.0006752025,0.5855296,0.001256746,0.001658042,0.002801415,0.004152608,0.0006109072,0.003773802],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.06480023,"threshold_uncertainty_score":0.3427005,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05072451031545613,"score_gpt":0.3315421101192901,"score_spread":0.280817599803834,"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."}}