{"id":"W4361229231","doi":"10.48550/arxiv.2303.16026","title":"On a Lemma of Schensted","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"graph theory and CDMA systems","field":"Engineering","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lemma (botany); Combinatorics; Column (typography); Mathematics; Physics; Connection (principal bundle); Geometry; Biology","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.001695347,0.0006187328,0.0007804456,0.001760114,0.002216509,0.002385378,0.001324962,0.001128845,0.01819019],"category_scores_gemma":[0.005642262,0.000570874,0.00163733,0.002368278,0.005731448,0.007551575,0.004208516,0.004039136,0.00422337],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001579747,"about_ca_system_score_gemma":0.0008871568,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00185633,"about_ca_topic_score_gemma":0.001302227,"domain_scores_codex":[0.9981499,0.0003754665,0.0001024076,0.0004123755,0.0006828483,0.0002769704],"domain_scores_gemma":[0.9975337,0.001296577,0.000103395,0.0004040728,0.0005664388,0.00009588804],"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":[0.0000288301,0.00001318074,0.0001059654,0.00006897406,0.00000986007,0.0001396459,0.0003404415,0.0004635487,0.001095238,0.9834018,0.006028246,0.008304278],"study_design_scores_gemma":[0.00001304167,0.0000230562,0.0001204429,0.0000311356,0.00001511091,0.0001813869,0.0000889657,0.001269869,0.002688686,0.9647628,0.03078557,0.00001998498],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0481924,0.004057659,0.6295021,0.009040815,0.004124369,0.0001348064,0.0008778651,0.001638164,0.3024318],"genre_scores_gemma":[0.7185623,0.004137809,0.1822115,0.007134205,0.001559358,0.0003831109,0.0009828599,0.001382441,0.0836464],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01819019,"threshold_uncertainty_score":0.06085229,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08301085802252389,"score_gpt":0.1596513337459389,"score_spread":0.07664047572341501,"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."}}