Paper Abstract and Keywords |
Presentation |
2006-07-14 13:00
Asymptotic Behavior of Free Energy of General Boltzmann Machines in Mean Field Approximation Yu Nishiyama, Sumio Watanabe (T.I.Tech) |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In the Bayesian learning, which generally requires huge computational costs, the algorithms based on the mean field approximation have shown us the effectiveness in the practical information systems. Recently, the generalization error or free energy in the mean field approximation has been theoretically studied. The theoretical results enable us to know the accuracy of the approximation and contribute to the foundation of a model selection in statistical singular machines. In this paper, we show that the upper bounds of the asymptotic free energies are theoretically obtained by counting the number of non-0 eigenvalues of Fisher information matrices and derive the upper bound in the learning model of general Boltzmann machines. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Singular Learning Machines / Free Energy / Mean Field Approximation / Boltzmann Machines / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 106, no. 163, NC2006-38, pp. 1-6, July 2006. |
Paper # |
NC2006-38 |
Date of Issue |
2006-07-07 (NC) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
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Conference Information |
Committee |
NC |
Conference Date |
2006-07-14 - 2006-07-14 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Waseda University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
General |
Paper Information |
Registration To |
NC |
Conference Code |
2006-07-NC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Asymptotic Behavior of Free Energy of General Boltzmann Machines in Mean Field Approximation |
Sub Title (in English) |
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Keyword(1) |
Singular Learning Machines |
Keyword(2) |
Free Energy |
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Mean Field Approximation |
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Boltzmann Machines |
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1st Author's Name |
Yu Nishiyama |
1st Author's Affiliation |
Tokyo Institute of Technology (T.I.Tech) |
2nd Author's Name |
Sumio Watanabe |
2nd Author's Affiliation |
Tokyo Institute of Technology (T.I.Tech) |
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Speaker |
Author-1 |
Date Time |
2006-07-14 13:00:00 |
Presentation Time |
25 minutes |
Registration for |
NC |
Paper # |
NC2006-38 |
Volume (vol) |
vol.106 |
Number (no) |
no.163 |
Page |
pp.1-6 |
#Pages |
6 |
Date of Issue |
2006-07-07 (NC) |