{"id":"W2026415815","doi":"10.1007/s11464-014-0408-0","title":"Gamma-Dirichlet algebra and applications","year":2014,"lang":"en","type":"article","venue":"Frontiers of Mathematics in China","topic":"Bayesian Methods and Mixture Models","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Canadian Imperial Bank of Commerce (Canada); McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Beijing Normal University","keywords":"Mathematics; Hierarchical Dirichlet process; Dirichlet distribution; Dirichlet process; Generalized Dirichlet distribution; Dirichlet series; Pure mathematics; Mathematical analysis; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006421145,0.0000913925,0.0002225349,0.0001049827,0.00003212268,0.00002868635,0.0004477786,0.00005281053,0.000001227373],"category_scores_gemma":[0.00005843561,0.00008038987,0.000031105,0.0001799762,0.00005530713,0.0001149669,0.0001175738,0.00009324986,0.000001918441],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009672156,"about_ca_system_score_gemma":0.00001228578,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000035727,"about_ca_topic_score_gemma":0.000001439234,"domain_scores_codex":[0.999273,0.00004688102,0.0002319986,0.0001898449,0.0001243454,0.0001338994],"domain_scores_gemma":[0.9992774,0.00007453926,0.0001087384,0.0004693314,0.00001945184,0.00005057639],"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":[5.391167e-7,0.00008301697,0.0002986727,0.00008274557,0.000007202569,3.844559e-7,0.001109508,0.000005374389,0.00007102059,0.8868509,0.002535342,0.1089553],"study_design_scores_gemma":[0.0001652527,0.00002149933,0.0007191786,0.00002169949,0.000005290274,0.000005096822,0.00001944068,0.08867697,0.0004017392,0.9074322,0.002430076,0.0001015525],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001801741,0.0004021987,0.9896001,0.0003165447,0.00007966004,0.0001644633,0.000001077902,0.00003145473,0.007602741],"genre_scores_gemma":[0.05481134,0.00004174159,0.9449176,0.00004959521,0.00002747167,0.00002153831,4.850138e-7,0.000007014385,0.000123167],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.1088537,"threshold_uncertainty_score":0.3278204,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006898182651541939,"score_gpt":0.235115625463113,"score_spread":0.228217442811571,"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."}}