{"id":"W2725689688","doi":"10.3390/sym10110541","title":"Factorizations of Symmetric Macdonald Polynomials","year":2018,"lang":"en","type":"preprint","venue":"Symmetry","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Factorization; Conjecture; Macdonald polynomials; Mathematics; Context (archaeology); Koornwinder polynomials; Pure mathematics; Combinatorics; Orthogonal polynomials; Symmetric function; Algebra over a field; Classical orthogonal polynomials; History","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002957034,0.0003868583,0.0008191068,0.0005009812,0.00008183107,0.00004850791,0.0007146038,0.0006614124,0.0004429323],"category_scores_gemma":[0.001064673,0.0003548915,0.0003627054,0.000567097,0.0001208006,0.00004490121,0.0008734567,0.0005014027,0.00002258572],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001142029,"about_ca_system_score_gemma":0.0002463901,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001052318,"about_ca_topic_score_gemma":0.0000030988,"domain_scores_codex":[0.9977477,0.0001061796,0.0007715967,0.0004962409,0.000557697,0.0003205918],"domain_scores_gemma":[0.9972566,0.0005376833,0.0007165485,0.001053134,0.0003156019,0.000120444],"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":[0.00001463901,0.00009218258,0.0008597567,0.0004696875,0.0002629402,0.000001360914,0.0001387563,0.000002717765,0.00005232061,0.9899926,0.00728057,0.0008325173],"study_design_scores_gemma":[0.0002635988,0.00005361075,0.0007511869,0.0001532638,0.0001757731,0.000002259502,0.00002936666,0.00005922175,0.002628102,0.9949263,0.0006203532,0.0003369526],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9499687,0.001052652,0.005001468,0.000190197,0.01215329,0.001027079,0.0003671669,0.0002614033,0.02997808],"genre_scores_gemma":[0.9940695,0.00004721362,0.003883342,0.00004415384,0.001228269,0.0000264861,0.00004343325,0.00007741878,0.0005802131],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0441008,"threshold_uncertainty_score":0.9998903,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05296056852083974,"score_gpt":0.3275658559181008,"score_spread":0.274605287397261,"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."}}