{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003596385,0.001452498,0.0018324,0.001792534,0.001787321,0.003346145,0.002303613,0.002722914,0.01496745],"category_scores_gemma":[0.02764253,0.0009607797,0.0014535,0.002117394,0.006227129,0.009718247,0.003911569,0.006996812,0.00307471],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001393105,"about_ca_system_score_gemma":0.00103992,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002788335,"about_ca_topic_score_gemma":0.002049983,"domain_scores_codex":[0.9961711,0.001084299,0.0001439208,0.001293751,0.0009335629,0.0003734473],"domain_scores_gemma":[0.9779325,0.01419062,0.001509627,0.003821739,0.001688218,0.0008573562],"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":[0.00005471279,0.00003493805,0.0005694291,0.0001643233,0.00002595282,0.0001551582,0.0001917195,0.003157018,0.00153637,0.9787845,0.008194346,0.007131532],"study_design_scores_gemma":[0.00004729116,0.00006448672,0.001300327,0.0000835361,0.00002445027,0.0005573191,0.00005372028,0.01739819,0.00110903,0.9677411,0.01156052,0.00005997487],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04294828,0.005974064,0.8408496,0.01390182,0.00107372,0.0002179862,0.002273499,0.0007996652,0.09196135],"genre_scores_gemma":[0.7983266,0.01069335,0.1153461,0.01065173,0.004873314,0.0009145802,0.002267618,0.0008402912,0.05608651],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01496745,"threshold_uncertainty_score":0.05007106,"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."}}