Paper Abstract and Keywords |
Presentation |
2018-03-08 09:25
Information Geometrical Study of Cluster-Model Approximation for Boltzmann Machines Kenta Toyoda, Tomohiro Ogawa (Univ. of Electro- Commu.) IT2017-104 ISEC2017-92 WBS2017-85 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In learning algorithms for Boltzmann machines, it is necessary but very hard to calculate the expectation of units with respect to the equilibrium states of the machines.To address this difficulty, the mean-field approximation has been used.It is known that the mean-field approximation is obtained by the $e$-projection from the original model to the mean-field sub-model in the information geometrical study [7].In this paper, we extend the information geometrical approach by introducing a cluster-model composed of clusters of units, and study the $e$-projection to the cluster-model. We give a necessary and sufficient condition for the $e$-projection and propose an alternating numerical algorithm to find the $e$-projection, which is verified by computer simulations. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Boltzmann Machines / Information Geometry / Kullback-Leibler divergence / $e$-projection / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 117, no. 487, IT2017-104, pp. 7-12, March 2018. |
Paper # |
IT2017-104 |
Date of Issue |
2018-03-01 (IT, ISEC, WBS) |
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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IT2017-104 ISEC2017-92 WBS2017-85 |
Conference Information |
Committee |
WBS IT ISEC |
Conference Date |
2018-03-08 - 2018-03-09 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Katsusika Campas, Tokyo University of Science |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
joint meeting of IT, ISEC, and WBS |
Paper Information |
Registration To |
IT |
Conference Code |
2018-03-WBS-IT-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Information Geometrical Study of Cluster-Model Approximation for Boltzmann Machines |
Sub Title (in English) |
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Keyword(1) |
Boltzmann Machines |
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Information Geometry |
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Kullback-Leibler divergence |
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$e$-projection |
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1st Author's Name |
Kenta Toyoda |
1st Author's Affiliation |
The University of Electro-Communications (Univ. of Electro- Commu.) |
2nd Author's Name |
Tomohiro Ogawa |
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The University of Electro-Communications (Univ. of Electro- Commu.) |
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Speaker |
Author-1 |
Date Time |
2018-03-08 09:25:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2017-104, ISEC2017-92, WBS2017-85 |
Volume (vol) |
vol.117 |
Number (no) |
no.487(IT), no.488(ISEC), no.489(WBS) |
Page |
pp.7-12 |
#Pages |
6 |
Date of Issue |
2018-03-01 (IT, ISEC, WBS) |
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