{"id":"W2082415350","doi":"10.1016/j.laa.2006.06.003","title":"Transition matrices for well-conditioned Markov chains","year":2006,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Graph theory and applications","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Mathematics; Markov chain; Combinatorics; Order (exchange); Matrix (chemical analysis); Conditioning; Block matrix; Stochastic matrix; Discrete mathematics; Eigenvalues and eigenvectors; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003546264,0.001619382,0.001816211,0.002974871,0.001262909,0.003813217,0.002198719,0.002440451,0.01173968],"category_scores_gemma":[0.02146006,0.001118284,0.001377354,0.002748512,0.003934196,0.006772063,0.00182741,0.00455813,0.001641161],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002085367,"about_ca_system_score_gemma":0.002113107,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00421545,"about_ca_topic_score_gemma":0.004968493,"domain_scores_codex":[0.9969878,0.001077699,0.000185865,0.0008087669,0.0006086119,0.0003313023],"domain_scores_gemma":[0.9730752,0.01982166,0.002500382,0.001555811,0.001986517,0.001060428],"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":[0.00003137586,0.00003778477,0.0001819922,0.00005640168,0.0000257643,0.00006061616,0.0001665989,0.02162586,0.0005796212,0.9707456,0.0008950626,0.00559328],"study_design_scores_gemma":[0.00000633102,0.000008133673,0.00008036808,0.00001122966,0.000007086634,0.00002454965,0.00001516932,0.08326995,0.0001308727,0.9159692,0.0004586257,0.00001848706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02512585,0.0006859173,0.9679713,0.0007400426,0.0001597146,0.00005507333,0.0005675808,0.0003062495,0.004388253],"genre_scores_gemma":[0.7714023,0.003820104,0.1927421,0.001083762,0.001188642,0.0007473089,0.002031224,0.0005344042,0.02645018],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01173968,"threshold_uncertainty_score":0.03927308,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01496797848274356,"score_gpt":0.2765711250959186,"score_spread":0.2616031466131751,"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."}}