{"id":"W4318999630","doi":"10.1063/5.0110404","title":"Tau functions, infinite Grassmannians, and lattice recurrences","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lattice (music); Mathematics; Mathematical physics; Pure mathematics; Physics; Algebra over a field","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005203942,0.0001462222,0.0003855179,0.0000709642,0.00009715441,0.00006183565,0.0001741449,0.00007450965,0.00004104707],"category_scores_gemma":[0.0005998448,0.0001057333,0.0001319745,0.0003259409,0.00008286398,0.0002040934,0.00007143823,0.0002944342,0.00004603455],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001807212,"about_ca_system_score_gemma":0.00004481788,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.645019e-7,"about_ca_topic_score_gemma":1.844095e-7,"domain_scores_codex":[0.9986824,0.00005784805,0.0005174121,0.0001076534,0.0004380621,0.0001966172],"domain_scores_gemma":[0.9981718,0.001022259,0.0003496931,0.0001730802,0.0001611934,0.000121957],"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":[0.00001700327,0.00008883117,0.0000904164,0.0002003797,0.00008649783,0.00001235532,0.0006781062,0.000009406926,0.00003482238,0.9861035,0.009053465,0.003625268],"study_design_scores_gemma":[0.0003404994,0.0001221253,0.000147351,0.0001461756,0.0001029389,0.00004366391,0.0003819777,0.0004450171,0.00006494061,0.997439,0.0006496515,0.0001166703],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9798256,0.000157669,0.01607952,0.0008677191,0.0009591962,0.0001584392,0.00000563319,0.000085336,0.001860956],"genre_scores_gemma":[0.9923058,0.0001005339,0.006205264,0.00007156676,0.0008582627,0.000004658334,0.000001243729,0.00003228016,0.0004203489],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01248031,"threshold_uncertainty_score":0.431168,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05672819996308832,"score_gpt":0.3169075654253516,"score_spread":0.2601793654622633,"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."}}