{"id":"W2585527963","doi":"10.37236/6915","title":"Counting Lyndon Factors","year":2017,"lang":"en","type":"article","venue":"The Electronic Journal of Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Combinatorics; Fibonacci number; Mathematics; Word (group theory); Counterexample; Golden ratio; Upper and lower bounds; Combinatorics on words; Alphabet; Word length; Discrete mathematics; Computer science; Philosophy","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":[],"consensus_categories":[],"category_scores_codex":[0.001633769,0.0001142626,0.0001924423,0.00005482805,0.0006329364,0.0004168731,0.003369808,0.00004066644,0.000004999315],"category_scores_gemma":[0.0001978949,0.00006912109,0.0001196955,0.00009883665,0.00006564105,0.0007438238,0.000238351,0.0005209421,0.000006449366],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001472891,"about_ca_system_score_gemma":0.0002593108,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000107435,"about_ca_topic_score_gemma":0.000001505704,"domain_scores_codex":[0.9987184,0.00007279366,0.0002691775,0.00009724058,0.000394299,0.0004480824],"domain_scores_gemma":[0.9980558,0.0001873126,0.000788055,0.0007610205,0.0001532537,0.00005453829],"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":[0.000003905968,0.0000327737,0.001115264,0.000002490176,0.00003343809,0.000007282092,0.0002448655,0.000005186852,0.0002267361,0.9960864,0.000364427,0.001877283],"study_design_scores_gemma":[0.0005025955,0.0002413607,0.005488509,0.00002535457,0.0000197783,0.0001495791,0.0000757366,0.002356764,0.003422025,0.9817957,0.005792228,0.0001303985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8507998,0.001962474,0.1406969,0.002221212,0.001743362,0.00006682024,2.33208e-7,0.00004146334,0.002467714],"genre_scores_gemma":[0.9994045,0.0002250386,0.00003226946,0.00006770396,0.00009844943,3.723273e-7,7.690522e-8,0.000008527878,0.0001630736],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1486047,"threshold_uncertainty_score":0.6261998,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0104691313155841,"score_gpt":0.2396999400641482,"score_spread":0.2292308087485641,"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."}}