{"id":"W2156199739","doi":"10.1017/s0963548314000285","title":"Hitting Time Theorems for Random Matrices","year":2014,"lang":"en","type":"article","venue":"Combinatorics Probability Computing","topic":"Random Matrices and Applications","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Zero (linguistics); Bernoulli's principle; Moment (physics); Random matrix; Matrix (chemical analysis); Work (physics); Bernoulli scheme; Column (typography)","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":[0.009049905,0.003441952,0.003333063,0.006214203,0.002922562,0.005580897,0.006019649,0.003527477,0.02426231],"category_scores_gemma":[0.06074605,0.001528092,0.003066423,0.003975361,0.00682063,0.01283902,0.005632719,0.007335611,0.003120293],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004230989,"about_ca_system_score_gemma":0.002447902,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001970938,"about_ca_topic_score_gemma":0.001391486,"domain_scores_codex":[0.9951228,0.001596125,0.0002118045,0.0009316855,0.001256139,0.0008813818],"domain_scores_gemma":[0.9077923,0.07345274,0.005173509,0.00558961,0.00411328,0.003878636],"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":[0.00005079234,0.00002996748,0.0003685003,0.0001338255,0.00003973049,0.00008593695,0.0001763161,0.01107428,0.0006240654,0.981418,0.00263306,0.003365489],"study_design_scores_gemma":[0.00005202607,0.00005571085,0.0003882275,0.00006579504,0.00003466698,0.0001301159,0.00005503612,0.1378505,0.0006035337,0.8588726,0.001843693,0.00004811033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07020154,0.003298883,0.8608267,0.004241453,0.000347467,0.0003076103,0.00135968,0.001224502,0.05819219],"genre_scores_gemma":[0.8065671,0.006257389,0.1162305,0.003467572,0.001887847,0.0030548,0.002907993,0.001279917,0.05834699],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02426231,"threshold_uncertainty_score":0.08116549,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02846903480855888,"score_gpt":0.2952228051035019,"score_spread":0.266753770294943,"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."}}