Paper Abstract and Keywords |
Presentation |
2017-03-13 10:00
Experimental Analysis of Real Log Canonical Threshold in Non-negative Matrix Factorization Naoki Hayashi, Sumio Watanabe (Tokyo Tech) NC2016-78 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
For the real log canonical threshold ( RLCT ) that gives the Bayesian generalization error of non-negative matrix factorization,we have derived in the previous study the upper bound given only in the matrix size,the internal dimension and the non-negative rank of the product in the decomposition.In this study,we experimentally verify this result by Markov chain Monte Carlo method and report the following results.
(1) When the exact value of RLCT is established in the theoretical formula: Equality is also established in numerical experiment result.
(2) When the exact value of RLCT is not established generally in the theoretical equation: If the rank of the observation matrix to be decomposed is equal to the non-negative rank,it coincides with the real log canonical threshold of the reduced rank regression.
(3) When rank and non-negative rank are not equal,it becomes a larger value than real log canonical threshold of reduced rank regression. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
non-negative matrix factorization(NMF) / real log canonical threshold(RLCT) / Bayesian learning / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 116, no. 521, NC2016-78, pp. 85-90, March 2017. |
Paper # |
NC2016-78 |
Date of Issue |
2017-03-06 (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) |
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NC2016-78 |
Conference Information |
Committee |
MBE NC |
Conference Date |
2017-03-13 - 2017-03-14 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kikai-Shinko-Kaikan Bldg. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
NC |
Conference Code |
2017-03-MBE-NC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Experimental Analysis of Real Log Canonical Threshold in Non-negative Matrix Factorization |
Sub Title (in English) |
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Keyword(1) |
non-negative matrix factorization(NMF) |
Keyword(2) |
real log canonical threshold(RLCT) |
Keyword(3) |
Bayesian learning |
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1st Author's Name |
Naoki Hayashi |
1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech) |
2nd Author's Name |
Sumio Watanabe |
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Tokyo Institute of Technology (Tokyo Tech) |
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Speaker |
Author-1 |
Date Time |
2017-03-13 10:00:00 |
Presentation Time |
25 minutes |
Registration for |
NC |
Paper # |
NC2016-78 |
Volume (vol) |
vol.116 |
Number (no) |
no.521 |
Page |
pp.85-90 |
#Pages |
6 |
Date of Issue |
2017-03-06 (NC) |