{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004209232,0.0004040991,0.0004070188,0.001381498,0.001260107,0.00198067,0.0007109295,0.0004535516,0.007641075],"category_scores_gemma":[0.002270191,0.0001791648,0.0004469024,0.001333792,0.002571946,0.003562673,0.002124809,0.001667631,0.001765657],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000806185,"about_ca_system_score_gemma":0.0005863844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009682564,"about_ca_topic_score_gemma":0.0008902203,"domain_scores_codex":[0.9995459,0.00006220998,0.00001742442,0.00006508487,0.0001517753,0.0001576275],"domain_scores_gemma":[0.9993578,0.0001198372,0.0001231443,0.0001282524,0.0001549348,0.0001159344],"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":[0.00002332705,0.00001360237,0.0003920872,0.00002811526,0.00000225384,0.0001796279,0.0003059837,0.0009955227,0.002247536,0.9885066,0.0004627254,0.006842771],"study_design_scores_gemma":[0.00001170723,0.00005489256,0.0006811664,0.00002929457,0.000009573728,0.0005736494,0.0003795773,0.01194332,0.00799483,0.9719623,0.006328455,0.00003117339],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6275929,0.0005555211,0.2391249,0.001078889,0.0002817279,0.00006985915,0.0002710334,0.0009269114,0.1300982],"genre_scores_gemma":[0.9717444,0.0002757423,0.01055769,0.00008365638,0.0001152719,0.00002169088,0.00007989402,0.0001083371,0.01701328],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007641075,"threshold_uncertainty_score":0.02556193,"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."}}