{"id":"W1517085700","doi":"10.1109/tit.2015.2463285","title":"On a Markov Lemma and Typical Sequences for Polish Alphabets","year":2015,"lang":"en","type":"article","venue":"IEEE Transactions on Information Theory","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Markov chain; Lemma (botany); Mathematics; Markov process; Computer science; Discrete mathematics; Algorithm; Combinatorics; Statistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.003269829,0.0005743149,0.0008942624,0.001784072,0.001253232,0.002138672,0.000975211,0.001247052,0.004187931],"category_scores_gemma":[0.01592191,0.0004206008,0.001174885,0.001623972,0.004340125,0.00750788,0.002632771,0.002635903,0.0007646763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001424931,"about_ca_system_score_gemma":0.0009459583,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007809731,"about_ca_topic_score_gemma":0.0004723483,"domain_scores_codex":[0.9975851,0.0008391831,0.0001521518,0.0004985509,0.0006259395,0.0002991917],"domain_scores_gemma":[0.982192,0.01343845,0.001347057,0.0009922585,0.00144166,0.0005885195],"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":[0.00001758323,0.00000662694,0.0001420427,0.00002562613,0.000005742976,0.00007636379,0.0001169974,0.004839396,0.0007221913,0.990631,0.0003116771,0.003104649],"study_design_scores_gemma":[0.00001174502,0.00003854835,0.0001258723,0.00002388669,0.000006697523,0.0001603411,0.00006828868,0.05030419,0.001240219,0.9454203,0.002575665,0.00002426204],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06701194,0.0007203,0.9134976,0.001314994,0.000109973,0.00005097701,0.0002039946,0.0001924878,0.01689772],"genre_scores_gemma":[0.8393968,0.001446017,0.1478029,0.001026827,0.0004385075,0.0003199682,0.0003496722,0.0002083177,0.009011013],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004187931,"threshold_uncertainty_score":0.01729274,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01857710148972145,"score_gpt":0.2436357015509192,"score_spread":0.2250586000611977,"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."}}