{"id":"W4366695211","doi":"10.54550/eca2023v3s3r19","title":"On a lemma of Schensted","year":2023,"lang":"en","type":"article","venue":"Enumerative Combinatorics and Applications","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lemma (botany); Combinatorics; Column (typography); Mathematics; Geometry; Connection (principal bundle); Biology","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":[],"consensus_categories":[],"category_scores_codex":[0.00007056045,0.00006285957,0.00008939946,0.00007388004,0.00007051654,0.000008719514,0.0000504954,0.00002995012,0.000005410127],"category_scores_gemma":[0.000006545668,0.00006112766,0.0000199017,0.0004846033,0.00002781848,0.0000219262,0.00001042138,0.00006231833,0.00003877518],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000006917829,"about_ca_system_score_gemma":0.000003265676,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":9.501673e-7,"about_ca_topic_score_gemma":2.503653e-7,"domain_scores_codex":[0.999672,0.00001311849,0.0001015714,0.00007994097,0.00005711678,0.0000762687],"domain_scores_gemma":[0.9997162,0.00008293264,0.00001764168,0.0001195618,0.00003110679,0.0000325716],"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":[0.000001254913,0.00001615784,0.00009380634,0.00002563744,0.00001638426,2.634275e-7,0.0001754749,0.0003063692,0.001879267,0.9957026,0.0009407181,0.0008420445],"study_design_scores_gemma":[0.0008379634,0.00017551,0.0036746,0.00006414692,0.00002359336,0.000002904191,0.0006820427,0.01302484,0.02341015,0.8733613,0.08434592,0.0003970643],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9525536,0.0005417358,0.009487209,0.00009555006,0.0002560929,0.000650944,0.00006799932,0.0005411907,0.03580567],"genre_scores_gemma":[0.9994772,0.00005657903,0.000009510011,0.000006248745,0.00001234694,0.0001749633,0.00001282789,0.000009727585,0.0002406081],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1223413,"threshold_uncertainty_score":0.2492713,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008472006389211025,"score_gpt":0.2136296068280778,"score_spread":0.2051576004388668,"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."}}