{"id":"W3092204845","doi":"10.1063/5.0032525","title":"Bilinear expansions of lattices of KP <b> <i>τ</i> </b>-functions in BKP <b> <i>τ</i> </b>-functions: A fermionic approach","year":2021,"lang":"en","type":"article","venue":"Journal of Mathematical Physics","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Lattice (music); Monomial; Factorization; Mathematics; Symmetric function; Pure mathematics; Creation and annihilation operators; Rational function; Bilinear interpolation; Toda lattice; Product (mathematics); Mathematical physics; Physics; Integrable system; Quantum mechanics; Quantum","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":[0.0006417772,0.0005993907,0.0004818056,0.001599636,0.0009525965,0.001549726,0.0008179048,0.0004808142,0.00432774],"category_scores_gemma":[0.001064655,0.0003729233,0.0007884608,0.0007563842,0.001900096,0.002377263,0.001440055,0.001416186,0.00111124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007789918,"about_ca_system_score_gemma":0.0005757191,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006832855,"about_ca_topic_score_gemma":0.0007323714,"domain_scores_codex":[0.9995466,0.0001054357,0.00002251077,0.00004672006,0.0001503671,0.0001283054],"domain_scores_gemma":[0.999483,0.0001150369,0.00007701574,0.00006432439,0.0001109621,0.0001497424],"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":[0.0000593239,0.00005451322,0.0002819353,0.0000495917,0.000005393383,0.0002075928,0.0003812493,0.004800992,0.008003875,0.9776318,0.0005067015,0.008017004],"study_design_scores_gemma":[0.00001744114,0.00006513185,0.0003156473,0.00002476659,0.000007342933,0.0003381754,0.0002521872,0.05233318,0.006702809,0.9352826,0.004626713,0.00003404264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5856037,0.0004416022,0.3532924,0.0005252153,0.0002881591,0.00008267145,0.0001753193,0.0003190044,0.05927194],"genre_scores_gemma":[0.9252286,0.0004098177,0.0555915,0.0002371145,0.0002208433,0.0001082032,0.000164375,0.0002548275,0.01778481],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00432774,"threshold_uncertainty_score":0.01447773,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04777041275712131,"score_gpt":0.3009245137861549,"score_spread":0.2531541010290336,"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."}}