{"id":"W2109416465","doi":"","title":"A Combinatorial Approach to Nearly Uncoupled Markov Chains","year":2011,"lang":"en","type":"dissertation","venue":"Arrow@dit (Dublin Institute of Technology)","topic":"Data Management and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National University of Ireland; University of Regina","keywords":"Markov chain; Mathematics; Additive Markov chain; Markov chain mixing time; Invariant (physics); Markov property; Combinatorics; Disjoint sets; Markov process; State space; Complement (music); Markov model; Discrete mathematics; Variable-order Markov model; Markov renewal process; Random variable; Statistics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00159567,0.001097586,0.001196886,0.002548667,0.001228153,0.003874627,0.002671842,0.001402398,0.01003898],"category_scores_gemma":[0.007701519,0.001002689,0.001763261,0.002332785,0.002932027,0.004660632,0.003437433,0.003473565,0.001394699],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002757387,"about_ca_system_score_gemma":0.001418714,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002920026,"about_ca_topic_score_gemma":0.00296834,"domain_scores_codex":[0.9979329,0.0007502669,0.000113916,0.0004878629,0.0005172432,0.0001977588],"domain_scores_gemma":[0.9935995,0.003583527,0.0007492393,0.0008785873,0.0007188514,0.0004702039],"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":[0.000009388415,0.00001131471,0.0001719233,0.00003434918,0.00001449097,0.00008206815,0.00007298234,0.02497304,0.0002058099,0.9703639,0.0005316627,0.003529157],"study_design_scores_gemma":[0.000007917897,0.00001040476,0.00007156401,0.00001960981,0.000007716413,0.00004514079,0.00002151971,0.1440572,0.0001083025,0.8520405,0.003596948,0.000013264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.01580009,0.0008683993,0.9555634,0.0007112275,0.0001501143,0.00007523842,0.0004633053,0.0002491045,0.02611919],"genre_scores_gemma":[0.5893428,0.002766256,0.3664791,0.0008771818,0.00102321,0.0008068887,0.001521414,0.0004715018,0.03671173],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.01003898,"threshold_uncertainty_score":0.0335837,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01559442246004874,"score_gpt":0.236152012667885,"score_spread":0.2205575902078363,"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."}}