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 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) |
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NC2010-168 |
Conference Information |
Committee |
NC MBE |
Conference Date |
2011-03-07 - 2011-03-09 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Tamagawa University |
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(See Japanese page) |
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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) |
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singular model |
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RBF network |
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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 |
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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 |
6 |
Date of Issue |
2011-02-28 (NC) |
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