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Paper Abstract and Keywords
Presentation 2011-03-08 11:05
On the Bayes generalization error of RBF network in neighborhoods of singularities
Masahiro Kohjima, Sumio Watanabe (Tokyo Tech) NC2010-168
Abstract (in Japanese) (See Japanese page) 
(in English) In a learning system which has hierarchical structure, neither the map from the parameter to the probability distribution is one-to-one, nor Fisher information matrix is positive definite, resulting that the asymptotic theory of regular statistical models does not hold. In such a system, if the true distribution is a singularity of the model, or if it is sufficiently far from the singularity, then its behavior was theoretically clarified. However, if the true distribution is in the neighborhood of a singularity, then its behavior depends on the dimension of the input data. In this paper, we study an RBF network for one dimensional inputs and experimentally clarified the followings. (1) If the distance of the true distribution and singularity is made longer from zero, then the generalization error becomes larger. (2) If the distance is made longer the first case, then the generalization error becomes smaller.
Keyword (in Japanese) (See Japanese page) 
(in English) singular model / RBF network / neighborhoods of singularities / / / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 461, NC2010-168, pp. 241-246, March 2011.
Paper # NC2010-168 
Date of Issue 2011-02-28 (NC) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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)
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Conference Information
Committee NC MBE  
Conference Date 2011-03-07 - 2011-03-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Tamagawa University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NC 
Conference Code 2011-03-NC-MBE 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the Bayes generalization error of RBF network in neighborhoods of singularities 
Sub Title (in English)  
Keyword(1) singular model  
Keyword(2) RBF network  
Keyword(3) neighborhoods of singularities  
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1st Author's Name Masahiro Kohjima  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
2nd Author's Name Sumio Watanabe  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
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Speaker Author-1 
Date Time 2011-03-08 11:05:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2010-168 
Volume (vol) vol.110 
Number (no) no.461 
Page pp.241-246 
#Pages
Date of Issue 2011-02-28 (NC) 


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