{"id":"W1752350786","doi":"10.55016/ojs/cdm.v13i1.62788","title":"Density dichotomy in random words","year":2018,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Substring; Combinatorics; Word (group theory); Mathematics; Alphabet; Sigma; Rank (graph theory); Limit (mathematics); Physics; Linguistics; Computer science; Philosophy; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007882061,0.0001540609,0.0002853056,0.0001568661,0.0001806775,0.0001725619,0.0007634141,0.00006708593,0.00004514083],"category_scores_gemma":[0.0006547309,0.0001311359,0.0000764556,0.0007256998,0.0000969571,0.0002586623,0.000357632,0.0001156445,0.0004773394],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001003565,"about_ca_system_score_gemma":0.00007326849,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000132349,"about_ca_topic_score_gemma":0.00003779595,"domain_scores_codex":[0.9986783,0.00006941705,0.0003492101,0.00028994,0.0002171368,0.0003959757],"domain_scores_gemma":[0.9985476,0.0002605622,0.00007732135,0.0007867387,0.0001750139,0.0001528048],"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":[0.00001831952,0.0001551687,0.0002783173,0.00002029034,0.00002370329,0.00002168542,0.003487858,0.00001190948,0.001654577,0.9890803,0.002290194,0.002957646],"study_design_scores_gemma":[0.005611233,0.0002995913,0.005661219,0.0005329018,0.00005264867,0.00009710758,0.0005165644,0.2710859,0.02389604,0.6731094,0.01792213,0.00121528],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08843079,0.0000417587,0.9066362,0.001470254,0.0002073183,0.0003865859,0.00002681452,0.0001982989,0.002601925],"genre_scores_gemma":[0.9559152,0.000003662346,0.04330578,0.0003903344,0.0001140317,0.00005174167,0.000005249402,0.000009332416,0.0002047041],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8674844,"threshold_uncertainty_score":0.6135392,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008632125033444954,"score_gpt":0.2773855626032375,"score_spread":0.2687534375697926,"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."}}