{"id":"W7132928073","doi":"","title":"A Mesoscopic Central Limit Theorem for Sample Covariance Matrices and their Linearization","year":2023,"lang":"","type":"dissertation","venue":"TSpace","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"University of Toronto","keywords":"Central limit theorem; Limit (mathematics); Covariance; Covariance matrix; Random matrix; Linearization; Matrix (chemical analysis); Random variable","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004817738,0.000626463,0.0008544088,0.0002125673,0.000652994,0.0004000886,0.00038107,0.0005073781,0.0001437308],"category_scores_gemma":[0.0009999252,0.0005520351,0.0002598464,0.00078095,0.00007592008,0.0001353888,0.00006368505,0.0003092298,0.00005208328],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007166551,"about_ca_system_score_gemma":0.0002173877,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003965116,"about_ca_topic_score_gemma":0.0002773401,"domain_scores_codex":[0.9974064,0.00009055502,0.0007688439,0.0007860567,0.0002625483,0.0006856601],"domain_scores_gemma":[0.9939308,0.004049209,0.000912312,0.0005970229,0.0003169878,0.0001936945],"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":[0.002162578,0.001128898,0.000562747,0.02092028,0.001666561,0.000004283081,0.2322158,0.001048049,0.004553228,0.6870115,0.01109396,0.03763203],"study_design_scores_gemma":[0.01244676,0.0008721612,0.003044957,0.003129757,0.003468154,0.00001690844,0.136967,0.2443997,0.01038847,0.5144134,0.06704351,0.003809304],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2931602,0.005251601,0.6835687,0.002511788,0.001798208,0.01021937,0.001268327,0.00069599,0.00152588],"genre_scores_gemma":[0.619359,0.03795891,0.210549,0.0003898313,0.004733067,0.006705015,0.01405252,0.001581655,0.104671],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4730197,"threshold_uncertainty_score":0.9996931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04089980469410729,"score_gpt":0.3579093442812273,"score_spread":0.31700953958712,"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."}}