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  • 标题:The explicit form of expectation propagation for a simple statistical model
  • 本地全文:下载
  • 作者:Andy S. I. Kim ; M. P. Wand
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2016
  • 卷号:10
  • 期号:1
  • 页码:550-581
  • DOI:10.1214/16-EJS1114
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We derive the explicit form of expectation propagation for approximate deterministic Bayesian inference in a simple statistical model. The model corresponds to a random sample from the Normal distribution. The explicit forms, and their derivation, allow a deeper understanding of the issues and challenges involved in practical implementation of expectation propagation for statistical analyses. No auxiliary approximations are used: we follow the expectation propagation prescription exactly. A simulation study shows expectation propagation to be more accurate than mean field variational Bayes for larger sample sizes, but at the cost of considerably more algebraic and computational effort.
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