{"id":"W4402053673","doi":"10.4064/aa231027-17-5","title":"The Mahler measure of a multivariate polynomial family with non-linear degree","year":2024,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Degree (music); Multivariate statistics; Measure (data warehouse); Polynomial; Pure mathematics; Discrete mathematics; Statistics; Mathematical analysis","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":[0.005863974,0.001430215,0.001843712,0.006159346,0.001852943,0.003788159,0.00361741,0.002235499,0.004150057],"category_scores_gemma":[0.02558772,0.0009294013,0.001754749,0.00221412,0.005461173,0.007047156,0.002515995,0.003297797,0.0007638183],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003421742,"about_ca_system_score_gemma":0.0009515614,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001538274,"about_ca_topic_score_gemma":0.0007558575,"domain_scores_codex":[0.9972806,0.001096403,0.00008637066,0.000451978,0.0007437313,0.0003407674],"domain_scores_gemma":[0.9771487,0.01499858,0.002722919,0.001273814,0.001915836,0.001940172],"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":[0.00004414495,0.00002141329,0.0006336343,0.00005516309,0.00003701925,0.00007698318,0.0001713855,0.01115645,0.001306115,0.9824156,0.0005652138,0.003516872],"study_design_scores_gemma":[0.00001954255,0.00005915471,0.0008647658,0.00004526328,0.00004096586,0.0002707065,0.00009949212,0.2378465,0.001457604,0.7566611,0.002534598,0.0001003168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.245131,0.001955711,0.7337885,0.002280516,0.0001568823,0.00006061261,0.0003045645,0.0003553901,0.01596677],"genre_scores_gemma":[0.9049731,0.002290888,0.0765689,0.0004038064,0.0008678106,0.0001854162,0.0003928357,0.0003257036,0.0139915],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006159346,"threshold_uncertainty_score":0.03101206,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02880857045240015,"score_gpt":0.2758960727522243,"score_spread":0.2470875022998242,"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."}}