{"id":"W1519107695","doi":"10.37236/436","title":"A Theory of Transformation Monoids: Combinatorics and Representation Theory","year":2010,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"semigroups and automata theory","field":"Computer Science","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Monoid; Mathematics; Transformation (genetics); Discrete mathematics; Pure mathematics; Combinatorics; Algebra over a field","routes":{"ca_aff":true,"ca_fund":true,"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":["research_integrity"],"consensus_categories":[],"category_scores_codex":[0.006881914,0.0003271177,0.000637788,0.0003119696,0.0001639981,0.0001654663,0.002256774,0.0003485024,0.00000559186],"category_scores_gemma":[0.0002568405,0.0002341314,0.0002817361,0.0004611886,0.0002058081,0.0005550539,0.0005003604,0.002712992,0.000001401793],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001882413,"about_ca_system_score_gemma":0.0007311995,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007043895,"about_ca_topic_score_gemma":0.000001160955,"domain_scores_codex":[0.9965584,0.0009253354,0.001024765,0.0002732141,0.0007354126,0.0004828946],"domain_scores_gemma":[0.9956307,0.001071726,0.001724397,0.0009560301,0.0005176974,0.00009949446],"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":[0.00008147139,0.0001440021,0.00002693796,0.0000826972,0.00016111,0.000003753509,0.003322183,0.00009477849,0.000515608,0.984038,0.00004607891,0.01148337],"study_design_scores_gemma":[0.0008154326,0.0003667779,0.0002660706,0.0001087064,0.0001441241,0.000173686,0.000399194,0.003525026,0.006551019,0.9871791,0.0002458323,0.0002250591],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3156223,0.009413043,0.6710058,0.0008438948,0.001843359,0.0003747375,0.000003582765,0.0000538423,0.0008394817],"genre_scores_gemma":[0.9961382,0.003459299,0.0001379369,0.00006243049,0.00008380105,0.000008332382,0.00000322464,0.00002640217,0.00008042595],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6805159,"threshold_uncertainty_score":0.9995878,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01046077140140217,"score_gpt":0.2441675066046144,"score_spread":0.2337067352032122,"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."}}