{"id":"W2528938086","doi":"10.37236/6504","title":"Some Families of Trees Arising in Permutation Analysis","year":2020,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung; Agence Nationale de la Recherche","keywords":"Mathematics; Permutation (music); Arity; Enumeration; Limit (mathematics); Interval (graph theory); Tree (set theory); Combinatorics; Set (abstract data type); Binary tree; Simple (philosophy); Filtration (mathematics); Discrete mathematics; Statistics; Computer science; Mathematical analysis","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":["metaepi_narrow","research_integrity"],"consensus_categories":[],"category_scores_codex":[0.001975072,0.0004090865,0.001731445,0.0007685695,0.00006557142,0.00004881052,0.001248024,0.0002822365,0.000004658157],"category_scores_gemma":[0.001834948,0.0003161371,0.0007083692,0.001503609,0.0001088643,0.0001934494,0.0003867574,0.00257152,0.000001148322],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000909751,"about_ca_system_score_gemma":0.0009311274,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001479818,"about_ca_topic_score_gemma":0.0000404584,"domain_scores_codex":[0.9958486,0.00041149,0.001917744,0.0002483025,0.001038484,0.0005354006],"domain_scores_gemma":[0.993718,0.001574371,0.003413121,0.0006716368,0.0005433622,0.00007955654],"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":[0.000088164,0.0003374371,0.0003024699,0.0002890938,0.001380244,0.00001395064,0.003136561,0.004715754,0.0002190273,0.9893408,0.00005034542,0.0001261474],"study_design_scores_gemma":[0.0008294646,0.0003130593,0.0002342297,0.0002350606,0.002038416,0.00001485101,0.000918976,0.002431218,0.001338227,0.991363,0.00003003164,0.0002534283],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9109269,0.006749543,0.07925384,0.0009770601,0.001265645,0.0005583793,0.000006250484,0.00004362736,0.0002187449],"genre_scores_gemma":[0.9971103,0.001954745,0.000611184,0.00001639009,0.0002038774,0.000007781218,0.000003710816,0.00006044642,0.00003155488],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08618341,"threshold_uncertainty_score":0.9999291,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03324716057032338,"score_gpt":0.3213956789263736,"score_spread":0.2881485183560502,"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."}}