{"id":"W2592122521","doi":"10.5555/3329995.3330087","title":"Unrestricted stone duality for Markov processes","year":2017,"lang":"en","type":"article","venue":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","topic":"Logic, Reasoning, and Knowledge","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"National Security Agency; Danmarks Frie Forskningsfond; National Science Foundation","keywords":"Duality (order theory); Mathematics; Markov chain; Generality; Dual (grammatical number); Probabilistic logic; Algebra over a field; Pure mathematics; Discrete mathematics","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","sts"],"consensus_categories":[],"category_scores_codex":[0.000580105,0.0003492967,0.0005160282,0.0001441269,0.004488867,0.0001708232,0.004307647,0.000280928,0.00003646764],"category_scores_gemma":[0.0002248721,0.0003685648,0.0003809457,0.000341533,0.002680404,0.001860507,0.0006921557,0.0003739628,0.00001382697],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000193305,"about_ca_system_score_gemma":0.002075641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001321906,"about_ca_topic_score_gemma":0.0007558065,"domain_scores_codex":[0.9975995,0.0001411799,0.0003393893,0.0007885967,0.0006627351,0.000468534],"domain_scores_gemma":[0.9958295,0.0002772107,0.0009940604,0.001475475,0.001180458,0.000243261],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"observational","study_design_scores_codex":[0.001091735,0.001843567,0.009186043,0.001155289,0.00092961,0.0008017005,0.007131056,0.0007527915,0.01988755,0.9455512,0.001816293,0.009853138],"study_design_scores_gemma":[0.01106401,0.002159567,0.878983,0.001124495,0.000897592,0.0005826405,0.02350807,0.008428462,0.0172988,0.0291352,0.02404904,0.002769185],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7066603,0.0003743683,0.2080194,0.001169684,0.0008198025,0.001123491,0.0002689839,0.0002364461,0.08132755],"genre_scores_gemma":[0.9851555,0.0001764956,0.01207875,0.00001020824,0.00007881303,4.263874e-7,0.00001647814,0.000008841651,0.002474494],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.916416,"threshold_uncertainty_score":0.9998766,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02256168165541519,"score_gpt":0.2228040533554826,"score_spread":0.2002423717000674,"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."}}