Paper Abstract and Keywords |
Presentation |
2008-01-15 13:30
Analytical and Numerical Solutions of Bethe Approximation in Normal Distributions Yu Nishiyama, Sumio Watanabe (Tokyo Inst. Tech.) NC2007-87 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
For the calculation of marginal distributions, which require the huge computational cost, the algorithm called belief propagation (BP) has shown the effectiveness. Loopy belief propagation (LBP), which is the BP applied to the distributions that have loops, is not guaranteed to converge in general and, if it converges, it computes approximate marginal probabilities. The LBP fixed-points after the convergence are also given by the extrema of the evaluation function called Bethe free energy. In this paper, we clarify the extrema of Bethe free energy in some particular cases of normal distributions, and after we give the convergence condition of LBP and the accuracy of LBP, we do the numerical experiments and compare the results with analytical solutions. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Bethe Approximation / Bethe Free Energy / Loopy Belief Propagation / Single Cycle / Convergence / / / |
Reference Info. |
IEICE Tech. Rep., vol. 107, no. 413, NC2007-87, pp. 1-6, Jan. 2008. |
Paper # |
NC2007-87 |
Date of Issue |
2008-01-08 (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) |
Download PDF |
NC2007-87 |
Conference Information |
Committee |
NC |
Conference Date |
2008-01-15 - 2008-01-16 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Centennial Hall, Hokkaido Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Machine Learning, etc. |
Paper Information |
Registration To |
NC |
Conference Code |
2008-01-NC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Analytical and Numerical Solutions of Bethe Approximation in Normal Distributions |
Sub Title (in English) |
|
Keyword(1) |
Bethe Approximation |
Keyword(2) |
Bethe Free Energy |
Keyword(3) |
Loopy Belief Propagation |
Keyword(4) |
Single Cycle |
Keyword(5) |
Convergence |
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Yu Nishiyama |
1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. Tech.) |
2nd Author's Name |
Sumio Watanabe |
2nd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Inst. Tech.) |
3rd Author's Name |
|
3rd Author's Affiliation |
() |
4th Author's Name |
|
4th Author's Affiliation |
() |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-1 |
Date Time |
2008-01-15 13:30:00 |
Presentation Time |
20 minutes |
Registration for |
NC |
Paper # |
NC2007-87 |
Volume (vol) |
vol.107 |
Number (no) |
no.413 |
Page |
pp.1-6 |
#Pages |
6 |
Date of Issue |
2008-01-08 (NC) |
|