{"id":"W3037965222","doi":"10.1016/j.aam.2016.11.005","title":"Profinite automata","year":2016,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Trent University","funders":"","keywords":"Mathematics; Modulo; Uncountable set; Discrete mathematics; Sequence (biology); Algebraic number; Alphabet; Prime number; Profinite group; Primitive root modulo n; Combinatorics; Prime (order theory); Group (periodic table)","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":[0.0003256472,0.0001419689,0.0001909701,0.0000914851,0.00003714219,0.00003973392,0.000900435,0.00004524665,0.00001653581],"category_scores_gemma":[0.00005672656,0.00008964767,0.00002842332,0.0002811705,0.0000642025,0.0004639866,0.0002494839,0.00005937755,0.0002877885],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000345234,"about_ca_system_score_gemma":0.00001978377,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":2.052139e-7,"about_ca_topic_score_gemma":0.000001457397,"domain_scores_codex":[0.998906,0.000009639371,0.0002934433,0.0002886872,0.0002152864,0.0002869775],"domain_scores_gemma":[0.9986211,0.0004646502,0.0001171211,0.0007374924,0.00001176787,0.0000478906],"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":[0.00000127065,0.00006224948,0.00003595649,0.00004344663,0.000001492192,0.000004245702,0.0002040337,0.00000411696,0.001493934,0.8236489,0.00004853539,0.1744518],"study_design_scores_gemma":[0.0005699492,0.00002012583,0.00008466201,0.0001347528,0.000001987122,0.00001190613,0.00005496346,0.005473969,0.006954147,0.9750342,0.01142076,0.0002385232],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003254539,0.0002435714,0.942866,0.000340352,0.0001735807,0.0002309624,0.000002379551,0.0004441293,0.0524445],"genre_scores_gemma":[0.4380543,0.0002158171,0.5612072,0.0001780678,0.00003528114,0.00008963606,5.262579e-7,0.00001688265,0.0002022839],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4347998,"threshold_uncertainty_score":0.3699035,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00865574799174698,"score_gpt":0.2445856063419714,"score_spread":0.2359298583502244,"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."}}