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Paper Abstract and Keywords
Presentation 2008-03-12 16:30
An Extension of CCCP Algorithm for Bethe Free Energy
Yu Nishiyama, Sumio Watanabe (Tokyo Inst. of Tech.) NC2007-126
Abstract (in Japanese) (See Japanese page) 
(in English) Belief Propagation (BP) is an efficient algorithm for computing marginal probabilities of a high-dimensional probability distribution. The marginals computed by BP are equivalent to the extrema of Bethe free energy. Concave convex procedure (CCCP) has been studied for the optimization of Bethe free energy. In this paper, we extend the CCCP algorithm for Bethe free energy and present a new CCCP (NCCCP) algorithm. We practically apply NCCCP algorithm to multi-dimensional Gaussian distributions. As a result, NCCCP algorithm enables inner loop to converge even if all Lagrange multipliers in the loop are simultaneously updated. Moreover, we find that there exists an optimal point of the parameters introduced to NCCCP that can reduce the expensive computational cost.
Keyword (in Japanese) (See Japanese page) 
(in English) Loopy Belief Propagation / Bethe Free Energy / CCCP / Gaussian Distribution / / / /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 542, NC2007-126, pp. 85-90, March 2008.
Paper # NC2007-126 
Date of Issue 2008-03-05 (NC) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF NC2007-126

Conference Information
Committee NC MBE  
Conference Date 2008-03-12 - 2008-03-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Tamagawa Univ 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NC 
Conference Code 2008-03-NC-MBE 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Extension of CCCP Algorithm for Bethe Free Energy 
Sub Title (in English)  
Keyword(1) Loopy Belief Propagation  
Keyword(2) Bethe Free Energy  
Keyword(3) CCCP  
Keyword(4) Gaussian Distribution  
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1st Author's Name Yu Nishiyama  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
2nd Author's Name Sumio Watanabe  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
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Speaker Author-1 
Date Time 2008-03-12 16:30:00 
Presentation Time 20 minutes 
Registration for NC 
Paper # NC2007-126 
Volume (vol) vol.107 
Number (no) no.542 
Page pp.85-90 
#Pages 6 
Date of Issue 2008-03-05 (NC) 

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