{"id":"W3145864822","doi":"","title":"A NOTE ON THE STOCHASTIC ROOTS OF STOCHASTIC MATRICES","year":2003,"lang":"zh","type":"article","venue":"系统科学与系统工程学报(英文版)","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Root (linguistics); Continuous-time stochastic process; Stochastic modelling; Matrix (chemical analysis); Applied mathematics; Stochastic process; Stochastic optimization; Stochastic differential equation; Mathematical optimization; Statistics","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002064547,0.0006630989,0.000724572,0.0003400958,0.0005485371,0.0003102602,0.002222187,0.000263166,0.0006806545],"category_scores_gemma":[0.001089201,0.0004856513,0.0003865226,0.001538971,0.0004178177,0.0003675636,0.0003698313,0.0007542632,0.001054124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009524473,"about_ca_system_score_gemma":0.0003590885,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007448928,"about_ca_topic_score_gemma":0.00001764954,"domain_scores_codex":[0.9951418,0.000805157,0.0009188845,0.0009928021,0.001119172,0.001022154],"domain_scores_gemma":[0.9943917,0.002461838,0.0006766766,0.001930186,0.0002414922,0.0002980385],"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":[0.00009047995,0.000485948,0.000006721943,0.0001316189,0.0001055031,0.00004060344,0.003230511,0.01000991,0.0003726826,0.9727154,0.0009140209,0.01189662],"study_design_scores_gemma":[0.005577628,0.004305798,0.001151733,0.002981964,0.0008270955,0.0004776351,0.002817345,0.4428531,0.005317372,0.5214574,0.008002199,0.004230732],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02418677,0.002577659,0.9445803,0.001863263,0.00336961,0.001316898,0.00008788691,0.0002133464,0.02180425],"genre_scores_gemma":[0.994405,0.00002371471,0.002358035,0.0005616541,0.0003142391,0.00004561763,0.000002547221,0.000055375,0.002233811],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9702182,"threshold_uncertainty_score":0.9997595,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01615475487002311,"score_gpt":0.2514418949697846,"score_spread":0.2352871400997615,"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."}}