{"id":"W2501527355","doi":"10.1017/etds.2015.89","title":"On the dual of Rauzy induction","year":2016,"lang":"en","type":"article","venue":"Ergodic Theory and Dynamical Systems","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Piecewise; Generalization; Gauss; Gauss map; Interval (graph theory); Extension (predicate logic); Inverse; Space (punctuation); Dual (grammatical number); Pure mathematics; Combinatorics; Geometry; Mathematical analysis; Computer science","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":[0.001778364,0.000128733,0.0002689264,0.00003695847,0.00007786141,0.00001979798,0.0001066544,0.0001139819,0.0001518409],"category_scores_gemma":[0.001463015,0.00005475581,0.00006897213,0.00006515712,0.0002307057,0.0000458831,0.00004651286,0.0001065115,0.00002605082],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002214062,"about_ca_system_score_gemma":0.000009789066,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003991048,"about_ca_topic_score_gemma":9.933043e-7,"domain_scores_codex":[0.9986721,0.0004131267,0.0003616674,0.0001696997,0.0002195854,0.0001637813],"domain_scores_gemma":[0.9942168,0.005228307,0.0001483111,0.0003021953,0.00003395175,0.00007042372],"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":[0.00008290018,0.00007685046,0.00001374719,0.000084778,0.0000309656,0.000001641118,0.0001008549,0.000001296688,0.001480589,0.9968313,0.0001721965,0.00112289],"study_design_scores_gemma":[0.0002600229,0.00009848524,0.00008814591,0.0002777397,0.00002194069,0.00002415557,0.0001651615,0.001990424,0.00007220964,0.9967788,0.0001246068,0.00009824579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9369285,0.00005167299,0.05693367,0.0004186951,0.0002546248,0.0002954612,0.00002559045,0.00004150272,0.005050337],"genre_scores_gemma":[0.9980551,0.00001026588,0.00005894506,0.00002861816,0.00006907362,0.00002303752,7.753857e-7,0.0000149339,0.001739271],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06112663,"threshold_uncertainty_score":0.2232877,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02225587111258046,"score_gpt":0.2636207986020142,"score_spread":0.2413649274894337,"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."}}