Presentation 2011-07-25
General Framework for Local Variational Approximation of Bayesian Learning Using Bregman Divergence
Kazuho WATANABE, Masato OKADA, Kazushi IKEDA,
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Abstract(in English) The local variational method is a technique to approximate an intractable posterior distribution in Bayesian learning. This article formulates a general framework for local variational approximation using the Bregman divergence. Based on a geometrical argument in the space of approximating posteriors, we propose an efficient method to evaluate an upper bound of the marginal likelihood. We demonstrate its application to the kernelized logistic regression model and numerically investigate the accuracy of approximation.
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Keyword(in English) Bayesian Learning / Local Variational Approximation / Kullback Information / Bregman Divergence / Kernelized Logistic Regression
Paper # NC2011-25
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Committee NC
Conference Date 2011/7/18(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
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Title (in English) General Framework for Local Variational Approximation of Bayesian Learning Using Bregman Divergence
Sub Title (in English)
Keyword(1) Bayesian Learning
Keyword(2) Local Variational Approximation
Keyword(3) Kullback Information
Keyword(4) Bregman Divergence
Keyword(5) Kernelized Logistic Regression
1st Author's Name Kazuho WATANABE
1st Author's Affiliation Graduate School of Information Science, Nara Institute of Science and Technology()
2nd Author's Name Masato OKADA
2nd Author's Affiliation Department of Complexity Science and Engineering, The University of Tokyo
3rd Author's Name Kazushi IKEDA
3rd Author's Affiliation Graduate School of Information Science, Nara Institute of Science and Technology
Date 2011-07-25
Paper # NC2011-25
Volume (vol) vol.111
Number (no) 157
Page pp.pp.-
#Pages 6
Date of Issue