{"id":"W4280648737","doi":"10.3390/e24050709","title":"Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials","year":2022,"lang":"en","type":"article","venue":"Entropy","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"","keywords":"Mathematics; Orthogonal polynomials; Dual polyhedron; Hermite polynomials; Laguerre polynomials; Applied mathematics; Legendre polynomials; Polynomial; Mathematical analysis; Pure mathematics","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":[0.002795308,0.0007092631,0.0006044132,0.001716808,0.0008010803,0.002105074,0.0009550229,0.0007535137,0.004798889],"category_scores_gemma":[0.009190979,0.0005366243,0.000919205,0.0008118608,0.004285544,0.003747145,0.002222028,0.002393689,0.0005889264],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001915574,"about_ca_system_score_gemma":0.001278919,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001551504,"about_ca_topic_score_gemma":0.001344549,"domain_scores_codex":[0.9989016,0.000416068,0.00003598316,0.0001824783,0.0003022618,0.0001616828],"domain_scores_gemma":[0.9967982,0.001729882,0.0004401868,0.0002894107,0.0004178173,0.0003245366],"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":[0.000007219024,0.000005053726,0.0001096508,0.000009773899,0.000003216525,0.00001539102,0.0000342077,0.009208559,0.0002227076,0.9884743,0.0002012314,0.001708611],"study_design_scores_gemma":[0.000003444731,0.000007924759,0.0002698968,0.000009947215,0.000001928777,0.00004149826,0.00002400389,0.07612851,0.0002918759,0.9221918,0.001017316,0.00001192835],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07977294,0.0005296462,0.8897873,0.001405367,0.00008657783,0.00003946151,0.0003127827,0.00007314946,0.0279929],"genre_scores_gemma":[0.872336,0.001156752,0.1069036,0.0003643678,0.0004411286,0.0001757675,0.0004017669,0.0002410421,0.01797954],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004798889,"threshold_uncertainty_score":0.01605386,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006191638253563127,"score_gpt":0.2211600190891211,"score_spread":0.214968380835558,"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."}}