{"id":"W2090113296","doi":"10.1016/j.aam.2014.11.001","title":"Factor complexity of S-adic words generated by the Arnoux–Rauzy–Poincaré algorithm","year":2014,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Austrian Science Fund; Agence Nationale de la Recherche","keywords":"Piecewise linear function; Upper and lower bounds; Fraction (chemistry); Convergence (economics); Factor (programming language); Piecewise; Euclidean algorithm","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00051373,0.0002061637,0.0003612045,0.00006313428,0.00008886415,0.00005540719,0.001236582,0.00006351867,0.00001977174],"category_scores_gemma":[0.00004830657,0.0001433253,0.00005197078,0.0004510678,0.0003064348,0.0001922454,0.0002386698,0.000177772,0.00002468708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003113555,"about_ca_system_score_gemma":0.00002079115,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000512918,"about_ca_topic_score_gemma":0.000006760477,"domain_scores_codex":[0.9985414,0.00004876919,0.0004701193,0.0002984929,0.0003356521,0.0003055916],"domain_scores_gemma":[0.9982744,0.0005341897,0.0002867848,0.0008206798,0.00002970631,0.00005427184],"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":[0.00000256986,0.0001970044,0.00002495659,0.0001113608,0.00001120654,8.462654e-7,0.001538198,0.0001426694,0.003233349,0.7640827,0.000335548,0.2303196],"study_design_scores_gemma":[0.0005014693,0.00004440836,0.00007285094,0.00005673645,0.000007222858,0.000008478662,0.0002592438,0.3388507,0.01999618,0.633265,0.00664106,0.0002966498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01062062,0.0006557984,0.9799784,0.0001055578,0.0001692718,0.0002703265,0.00001761624,0.0001283604,0.008054079],"genre_scores_gemma":[0.5241241,0.0001002496,0.475359,0.0002437192,0.00004913058,0.00004311797,0.000007782437,0.00001949482,0.00005333195],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5135036,"threshold_uncertainty_score":0.5844636,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01632427309637725,"score_gpt":0.2521384388042421,"score_spread":0.2358141657078648,"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."}}