{"id":"W2952354060","doi":"10.48550/arxiv.1210.4527","title":"The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials","year":2012,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University; Université de Montréal","funders":"","keywords":"Partition function (quantum field theory); Vertex model; Mathematics; Graph partition; Combinatorics; Vertex (graph theory); Partition (number theory); Schur polynomial; Boundary value problem; Polynomial; Macdonald polynomials; Generalization; Orthogonal polynomials; Mathematical analysis; Difference polynomials; Physics; Graph; Quantum mechanics","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":[0.0001658181,0.0002463393,0.0002833606,0.00004461848,0.0004013999,0.00005340503,0.0004970523,0.0002284625,0.00003984488],"category_scores_gemma":[0.00001582206,0.0001572505,0.0001302687,0.0001409906,0.0003632106,0.00009447619,0.0005211959,0.0002971347,0.000001214026],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001056802,"about_ca_system_score_gemma":0.0001763734,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000104129,"about_ca_topic_score_gemma":0.00007120218,"domain_scores_codex":[0.9989706,0.0001350372,0.0002094314,0.0003313417,0.0001236916,0.0002299565],"domain_scores_gemma":[0.9985688,0.0001476586,0.0003777478,0.0007160287,0.000112994,0.00007681121],"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":[0.00005453919,0.00003251809,0.0007305772,0.00005751442,0.0001503988,0.00000176164,0.0001724843,0.0101394,0.00004381838,0.9878171,0.0007883088,0.00001156591],"study_design_scores_gemma":[0.0004890254,0.00001572388,0.001311666,0.00007114968,0.0002586634,0.000002420502,0.00004454479,0.01566424,0.0000789114,0.9815632,0.00028928,0.0002112489],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9883093,0.0001703499,0.008887282,0.000293181,0.0005547749,0.0004730349,0.00004689946,0.00003584826,0.001229302],"genre_scores_gemma":[0.9971601,0.00009673929,0.0002692576,0.0000811748,0.00007497393,0.00000257993,0.00001110945,0.00003001042,0.002274031],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008850795,"threshold_uncertainty_score":0.641249,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05930137779860704,"score_gpt":0.2148505389785402,"score_spread":0.1555491611799331,"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."}}