{"id":"W2949146348","doi":"10.48550/arxiv.1302.0388","title":"A simple observation on random matrices with continuous diagonal entries","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Diagonal; Combinatorics; Mathematics; Simple (philosophy); Diagonal matrix; Matrix (chemical analysis); Simple random sample; Random variable; Upper and lower bounds; Discrete mathematics; Statistics; Mathematical analysis; Geometry; Materials science; Philosophy","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001840992,0.0003451311,0.0005274674,0.000166162,0.0001988614,0.0001383497,0.0004870771,0.0002290469,0.0002241464],"category_scores_gemma":[0.00008018878,0.000299866,0.0001895011,0.0003586267,0.000096123,0.0001678691,0.0002302872,0.0003875768,0.0001419937],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001032136,"about_ca_system_score_gemma":0.00009371555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002614425,"about_ca_topic_score_gemma":0.00005850119,"domain_scores_codex":[0.9985755,0.0000910528,0.0002687607,0.0006390869,0.0001370977,0.0002885067],"domain_scores_gemma":[0.9975957,0.0008510276,0.0005116949,0.0007035747,0.0002210682,0.0001169452],"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":[0.001695076,0.0007394252,0.01727981,0.0007135944,0.0006365967,0.0001219597,0.0005564526,0.03467172,0.00003230601,0.9269224,0.01607768,0.0005529723],"study_design_scores_gemma":[0.01150432,0.0002618125,0.004530533,0.0003632769,0.001183252,0.000007737093,0.0007074207,0.04508329,0.0002343597,0.9223328,0.01241478,0.001376434],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9597825,0.00005490565,0.03573943,0.0001275172,0.00008005385,0.001219655,0.00007596709,0.0002162844,0.002703721],"genre_scores_gemma":[0.9951289,0.0002645362,0.001016387,0.00006210266,0.0001327752,0.00002351384,0.00008903477,0.0000398107,0.003242906],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03534646,"threshold_uncertainty_score":0.9999453,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0826245704847474,"score_gpt":0.213928103873005,"score_spread":0.1313035333882576,"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."}}