{"id":"W2948412854","doi":"10.37236/5967","title":"Two Partial Orders for Standard Young Tableaux","year":2019,"lang":"en","type":"preprint","venue":"The Electronic Journal of Combinatorics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs; Simons Foundation","keywords":"Linear subspace; Mathematical proof; Mathematics; Young tableau; Invariant (physics); Equivalence (formal languages); Combinatorics; Cover (algebra); Order (exchange); Nilpotent; Equivalence relation; Algebra over a field; Pure mathematics; Geometry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005813168,0.0002313877,0.0003834394,0.000822556,0.0009447307,0.003181618,0.0002861911,0.0003874597,0.004009753],"category_scores_gemma":[0.001479565,0.0002310894,0.0004691019,0.0005708952,0.001819803,0.003110593,0.001000834,0.001042215,0.0005145633],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001090456,"about_ca_system_score_gemma":0.0005389587,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007154943,"about_ca_topic_score_gemma":0.001243118,"domain_scores_codex":[0.9990838,0.0001464914,0.00005992189,0.000164346,0.0003714085,0.000174122],"domain_scores_gemma":[0.9992322,0.0003157642,0.00007616015,0.00007679358,0.0001728183,0.0001263757],"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":[0.00001286055,0.000004143721,0.0001462689,0.00001028861,0.000001793137,0.00004339711,0.0001212778,0.0002276836,0.0008122361,0.9957014,0.0001814534,0.002737143],"study_design_scores_gemma":[0.00001150566,0.00003242539,0.000663401,0.00002334353,0.000008435918,0.0002623457,0.0001807279,0.004302823,0.003151926,0.9781029,0.01323873,0.00002137937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6225829,0.001561837,0.2099014,0.0007015612,0.0004225604,0.00006620215,0.0006653346,0.0002015928,0.1638966],"genre_scores_gemma":[0.965353,0.0003675431,0.01769842,0.0001887626,0.000138793,0.0000436705,0.0003745579,0.00006781115,0.01576754],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004009753,"threshold_uncertainty_score":0.01341397,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02851325328838701,"score_gpt":0.3372570586970619,"score_spread":0.3087438054086749,"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."}}