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Paper Abstract and Keywords
Presentation 2009-01-19 13:55
On the Effect of Hyperparameter to Generalization Error in Variational Bayes Learning
Shinji Oyama, Sumio Watanabe (Tokyo Inst. of Tech.) NC2008-87
Abstract (in Japanese) (See Japanese page) 
(in English) In variational Bayes learning, the probability distribution of the hidden variable and parameter is made by the mean field approximation. In a mixture of exponential probability distributions such a normal mixture, the mean field approximation is applied to wide practical problems because it provides the fast recursive learning algorithm. It was theoretically clarified the phase transition structure of variational Bayes learning for hyperparameter. In this paper, we study the generalization errors of variational Bayes learning and experimentally show the following facts. (1) The behavior of the generalization error changes between the phase transition point. (2) At an ordinary point, the generalization error strongly depends on the condition that the true distribution is contained in the statistical model or not, whereas, at the critical point, the generalization error is not so depend on the condition.
Keyword (in Japanese) (See Japanese page) 
(in English) Singular learning machines / variational Bayes generalization error / Gibbs generalization error / hyperparameter / / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 383, NC2008-87, pp. 31-36, Jan. 2009.
Paper # NC2008-87 
Date of Issue 2009-01-12 (NC) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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)
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Conference Information
Committee NC  
Conference Date 2009-01-19 - 2009-01-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Neural Dynamics, etc. 
Paper Information
Registration To NC 
Conference Code 2009-01-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the Effect of Hyperparameter to Generalization Error in Variational Bayes Learning 
Sub Title (in English)  
Keyword(1) Singular learning machines  
Keyword(2) variational Bayes generalization error  
Keyword(3) Gibbs generalization error  
Keyword(4) hyperparameter  
1st Author's Name Shinji Oyama  
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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Date Time 2009-01-19 13:55:00 
Presentation Time 25 
Registration for NC 
Paper # IEICE-NC2008-87 
Volume (vol) IEICE-108 
Number (no) no.383 
Page pp.31-36 
#Pages IEICE-6 
Date of Issue IEICE-NC-2009-01-12 

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