{"id":"W2404648716","doi":"","title":"A note on enumeration of noncrossing partitions.","year":2012,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Enumeration; Mathematics; Combinatorics","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":[0.00200103,0.000972116,0.001369916,0.002526412,0.003260451,0.004162074,0.002810944,0.001686698,0.01620242],"category_scores_gemma":[0.009423426,0.000606384,0.001160786,0.003492663,0.003280171,0.008840593,0.004296958,0.006200402,0.005154698],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001316823,"about_ca_system_score_gemma":0.0009259904,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001131995,"about_ca_topic_score_gemma":0.003088977,"domain_scores_codex":[0.9980787,0.0006198026,0.0001249323,0.0003115459,0.0006624677,0.0002025171],"domain_scores_gemma":[0.995653,0.002552202,0.0001615153,0.0008635294,0.0004998235,0.0002699186],"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":[0.00002659888,0.00002666832,0.0002311873,0.0001249705,0.000006353448,0.0001208691,0.0001886335,0.0005217455,0.0006839188,0.9553812,0.0173146,0.0253734],"study_design_scores_gemma":[0.000003708555,0.00001050712,0.0001818622,0.00005534335,0.000005694458,0.000175077,0.00007819556,0.001446357,0.0003918461,0.9577435,0.03989716,0.00001083368],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03210277,0.01193916,0.4500794,0.01078468,0.01137055,0.0001434943,0.0008572226,0.001067765,0.4816549],"genre_scores_gemma":[0.3775609,0.01613872,0.4261,0.007663124,0.006502926,0.0003986995,0.001994892,0.001317536,0.1623233],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01620242,"threshold_uncertainty_score":0.0542025,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04416347419202744,"score_gpt":0.3435259613788995,"score_spread":0.299362487186872,"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."}}