{"id":"W2577532128","doi":"","title":"Permutation Tableaux, Restricted Set Partitions and Labeled Dyck Paths.","year":2016,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Permutation (music); Combinatorics; Mathematics; Set (abstract data type); Computer science; Physics; Programming language","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004306817,0.0004559922,0.0004793575,0.0009270939,0.001225653,0.002507107,0.0007622275,0.0008434834,0.01365431],"category_scores_gemma":[0.001859096,0.00040073,0.0004660913,0.001344644,0.001879276,0.003736334,0.001542052,0.001999799,0.002339456],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001257823,"about_ca_system_score_gemma":0.0005554064,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001541521,"about_ca_topic_score_gemma":0.003075633,"domain_scores_codex":[0.9995793,0.0001206295,0.00002205984,0.00009241034,0.0001058722,0.00007983654],"domain_scores_gemma":[0.999332,0.0003511163,0.0000786797,0.0001014777,0.00006351752,0.00007328831],"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":[0.00002318339,0.000007406994,0.00005469412,0.00001797206,0.000002558078,0.00004513618,0.00005222913,0.0005930327,0.0003293046,0.9926124,0.00173599,0.004526072],"study_design_scores_gemma":[0.00001010215,0.000007923739,0.00009239116,0.0000125205,0.000004623092,0.00008167032,0.00004180376,0.002054676,0.0003672038,0.9898325,0.007486818,0.000007815397],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2126091,0.004362182,0.3083747,0.002919144,0.001107373,0.0001430683,0.002723917,0.0009483239,0.4668122],"genre_scores_gemma":[0.8416115,0.001793999,0.05883336,0.0007017067,0.0002536369,0.000156104,0.001463499,0.000310033,0.09487612],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01365431,"threshold_uncertainty_score":0.04567826,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03514428821858141,"score_gpt":0.3022458635629399,"score_spread":0.2671015753443585,"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."}}