Paper Abstract and Keywords |
Presentation |
2011-11-10 15:45
Nonparametric Estimation of Mixture Model and Minimum Divergence Methods Kazuho Watanabe (NAIST), Shiro Ikeda (ISM) IBISML2011-78 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We discuss a nonparametric estimation method of the mixing distribution in mixture models.
We propose an objective function with one parameter,
where the minimization corresponds to the maximum likelihood estimation and the kernel vector quantization in special cases.
Generalizing the theorem for the nonparametric maximum likelihood estimation, we prove the existence and discreteness of the optimal mixing distribution
and provide an algorithm to calculate it.
It is demonstrated that with an appropriate choice of the parameter, the proposed method is less prone to overfitting than the maximum likelihood method. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
mixture model / nonparametric estimation / minimum divergence method / average generalization error / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 111, no. 275, IBISML2011-78, pp. 243-249, Nov. 2011. |
Paper # |
IBISML2011-78 |
Date of Issue |
2011-11-02 (IBISML) |
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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IBISML2011-78 |
Conference Information |
Committee |
IBISML |
Conference Date |
2011-11-09 - 2011-11-11 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Nara Womens Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
The 14th IBIS workshop |
Paper Information |
Registration To |
IBISML |
Conference Code |
2011-11-IBISML |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Nonparametric Estimation of Mixture Model and Minimum Divergence Methods |
Sub Title (in English) |
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Keyword(1) |
mixture model |
Keyword(2) |
nonparametric estimation |
Keyword(3) |
minimum divergence method |
Keyword(4) |
average generalization error |
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1st Author's Name |
Kazuho Watanabe |
1st Author's Affiliation |
Nara Institute of Science and Technology (NAIST) |
2nd Author's Name |
Shiro Ikeda |
2nd Author's Affiliation |
The Institute of Statistical Mathematics (ISM) |
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Speaker |
Author-1 |
Date Time |
2011-11-10 15:45:00 |
Presentation Time |
180 minutes |
Registration for |
IBISML |
Paper # |
IBISML2011-78 |
Volume (vol) |
vol.111 |
Number (no) |
no.275 |
Page |
pp.243-249 |
#Pages |
7 |
Date of Issue |
2011-11-02 (IBISML) |