Paper Abstract and Keywords |
Presentation |
2017-09-15 13:00
On MDL Learning of Gaussian Mixture Modlels Kohei Miyamoto, Masanori Kawakita, Jun'ichi Takeuchi (Kyushu Univ.) PRMU2017-47 IBISML2017-19 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
The final goal of this work is model sellection for gaussian mixture models(GMM) based on the minimum description length(MDL) principle. In this paper, we discuss some issues about a two part coding for GMM for this purpose. First we consider mixture models which have known distributions as their components. We introduce a two part codes for that mixture models and derive a risk bound for typical sequences and a probabilistic loss bound when the Renyi divergence is used as a loss function. Next we examine their Fisher information. its determinant and Jeffrey's prior which is related to the restriction on parameters. These works will be useful when we consider a two part coding of GMM itself. Further, we study relation between Rissanen's $g$-function and Fisher information. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
MDL / Gaussian mixture / / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 117, no. 211, IBISML2017-19, pp. 59-66, Sept. 2017. |
Paper # |
IBISML2017-19 |
Date of Issue |
2017-09-08 (PRMU, 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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PRMU2017-47 IBISML2017-19 |
Conference Information |
Committee |
PRMU IBISML IPSJ-CVIM |
Conference Date |
2017-09-15 - 2017-09-16 |
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(See Japanese page) |
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Paper Information |
Registration To |
IBISML |
Conference Code |
2017-09-PRMU-IBISML-CVIM |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
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(See Japanese page) |
Title (in English) |
On MDL Learning of Gaussian Mixture Modlels |
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MDL |
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Gaussian mixture |
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1st Author's Name |
Kohei Miyamoto |
1st Author's Affiliation |
Kyushu University (Kyushu Univ.) |
2nd Author's Name |
Masanori Kawakita |
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Kyushu University (Kyushu Univ.) |
3rd Author's Name |
Jun'ichi Takeuchi |
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Kyushu University (Kyushu Univ.) |
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Speaker |
Author-3 |
Date Time |
2017-09-15 13:00:00 |
Presentation Time |
30 minutes |
Registration for |
IBISML |
Paper # |
PRMU2017-47, IBISML2017-19 |
Volume (vol) |
vol.117 |
Number (no) |
no.210(PRMU), no.211(IBISML) |
Page |
pp.59-66 |
#Pages |
8 |
Date of Issue |
2017-09-08 (PRMU, IBISML) |
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