{"id":"W4399803897","doi":"10.4204/eptcs.403.31","title":"LLT Polynomials and Hecke Algebra Traces","year":2024,"lang":"en","type":"article","venue":"Electronic Proceedings in Theoretical Computer Science","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"National Science Foundation","keywords":"Hecke algebra; TRACE (psycholinguistics); Mathematics; Basis (linear algebra); Pure mathematics; Algebra over a field; Macdonald polynomials; Hecke operator; Discrete orthogonal polynomials; Orthogonal polynomials; Linguistics; Philosophy; Modular form","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":[],"consensus_categories":[],"category_scores_codex":[0.001649749,0.0001987149,0.0002466813,0.0003510242,0.000161102,0.0003874875,0.0005251153,0.00007242931,0.00004502379],"category_scores_gemma":[0.0003415401,0.0001585262,0.00004232588,0.001431602,0.001553686,0.0006109631,0.000274198,0.0004620549,0.00001458656],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001538592,"about_ca_system_score_gemma":0.0001495889,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":3.614469e-7,"about_ca_topic_score_gemma":7.541793e-7,"domain_scores_codex":[0.9977427,0.00001106684,0.0002898463,0.0006877392,0.0003994107,0.0008692782],"domain_scores_gemma":[0.9992606,0.0003756244,0.00003740907,0.0001235839,0.00006033129,0.0001424681],"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":[0.000008716932,0.00002819209,0.0000591028,0.00007311826,0.000005229001,0.000005634353,0.000483156,5.324674e-7,0.001162062,0.9745648,0.00007015482,0.02353931],"study_design_scores_gemma":[0.0001309718,0.0001934384,0.00009767659,0.0001270221,0.000008598725,0.0001020362,0.0000386381,0.02342079,0.007872906,0.967566,0.0002356379,0.0002062711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9315554,0.001428382,0.06189184,0.001173186,0.0002368191,0.0002370051,9.252457e-7,0.0002696478,0.003206804],"genre_scores_gemma":[0.9881866,0.00006412562,0.01135488,0.0001492607,0.0001803335,0.00001373059,1.577286e-7,0.00001898003,0.00003195625],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05663119,"threshold_uncertainty_score":0.6464509,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00911369497939203,"score_gpt":0.2914685498078059,"score_spread":0.2823548548284139,"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."}}