{"id":"W3001507502","doi":"10.48550/arxiv.2001.07584","title":"Three perspectives on categorical symmetric Howe duality","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; Perimeter Institute","funders":"","keywords":"Quiver; Categorical variable; Mathematics; Categorification; Functor; Pure mathematics; Diagrammatic reasoning; Duality (order theory); Algebra over a field; Invariant (physics); Representation theory; Computer science; Mathematical physics","routes":{"ca_aff":true,"ca_fund":false,"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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0001741028,0.0004925479,0.000669379,0.0002464507,0.0001687413,0.0000726016,0.0009197699,0.0005286831,0.0001418254],"category_scores_gemma":[0.0004284412,0.0005048574,0.0004476187,0.0007539502,0.0001331659,0.00007870103,0.001068675,0.001232597,0.00007311281],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005076507,"about_ca_system_score_gemma":0.0001793406,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002014183,"about_ca_topic_score_gemma":0.00002045424,"domain_scores_codex":[0.9976906,0.0001352758,0.0002595338,0.001318652,0.0002146463,0.0003813381],"domain_scores_gemma":[0.9977341,0.0004356744,0.0003099797,0.001074759,0.0001807911,0.0002646667],"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":[0.0001282022,0.0001602688,0.0002670983,0.0001139274,0.0001811814,0.0001959121,0.0005417644,0.0008997782,0.000001687557,0.9964182,0.001037144,0.00005479212],"study_design_scores_gemma":[0.0005719243,0.0001316776,0.0006913936,0.00002660439,0.0002313433,0.000002476537,0.0006564943,0.006374342,0.00002221283,0.9906749,0.00009812306,0.0005185158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9135129,0.0001498512,0.07252073,0.0004683729,0.001620709,0.0007117899,0.00004249851,0.0004782381,0.01049493],"genre_scores_gemma":[0.9988528,0.00007236367,0.0002157093,0.00006151651,0.0004386907,0.000001636947,0.000009618163,0.00005325566,0.0002943531],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08533998,"threshold_uncertainty_score":0.9997403,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1678017929813729,"score_gpt":0.2382266001947064,"score_spread":0.07042480721333355,"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."}}