Paper Abstract and Keywords |
Presentation |
2011-06-30 16:05
A Modified Multiplicative Update Algorithm for Nonnegative Matrix Factorization and its Global Convergence
-- The Case of Euclidean Distance Minimization -- Ryota Hibi, Norikazu Takahashi (Kyushu Univ.) NLP2011-32 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Nonnegative matrix factorization (NMF) is to approximate a given large
nonnegative matrix by the product of two small nonnegative matrices.
Although the multiplicative update algorithm is widely used as an efficient technique for NMF, it has a serious drawback that the update formulas are not well-defined because they are expressed in the form of a fraction. Furthermore, due to this drawback, the global convergence of the algorithm has not been guaranteed. In this report, we consider NMF in which the approximation error is measured by the Euclidean distance between matrices. We propose a modified multiplicative update algorithm in order to overcome the drawback of the original version and prove its global convergence. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
nonnegative matrix factorization / multiplicative update / Euclidean distance / global convergence / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 111, no. 106, NLP2011-32, pp. 41-46, June 2011. |
Paper # |
NLP2011-32 |
Date of Issue |
2011-06-23 (NLP) |
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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NLP2011-32 |
Conference Information |
Committee |
NLP |
Conference Date |
2011-06-30 - 2011-07-02 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Shari-cho Kohminkan: Yme-hall Shiretoko |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
General |
Paper Information |
Registration To |
NLP |
Conference Code |
2011-06-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Modified Multiplicative Update Algorithm for Nonnegative Matrix Factorization and its Global Convergence |
Sub Title (in English) |
The Case of Euclidean Distance Minimization |
Keyword(1) |
nonnegative matrix factorization |
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multiplicative update |
Keyword(3) |
Euclidean distance |
Keyword(4) |
global convergence |
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1st Author's Name |
Ryota Hibi |
1st Author's Affiliation |
Kyushu University (Kyushu Univ.) |
2nd Author's Name |
Norikazu Takahashi |
2nd Author's Affiliation |
Kyushu University (Kyushu Univ.) |
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Speaker |
Author-1 |
Date Time |
2011-06-30 16:05:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2011-32 |
Volume (vol) |
vol.111 |
Number (no) |
no.106 |
Page |
pp.41-46 |
#Pages |
6 |
Date of Issue |
2011-06-23 (NLP) |