Paper Abstract and Keywords |
Presentation |
2016-01-18 10:35
Multiplicative Update for Nonnegative Matrix Factorization based on Generalized Error Function and Its Global Convergence Masato Seki, Norikazu Takahashi (Okayama Univ.) IT2015-59 SIP2015-73 RCS2015-291 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Nonnegative Matrix Factorization (NMF) is an operation that decomposes a given nonnegative matrix into two nonnegative factor matrices. NMF is formulated as a constrained optimization problem that minimizes an error function under the constraint that all variables are nonnegative. The multiplicative update rules are widely used for solving the NMF optimization problem. In this report, we consider a generalized error function that includes all of the major error functions as its special cases, derive a multiplicative update rule, and prove its global convergence. We first derive a multiplicative update rule from the generalized error function by using the unified method developed by Yang and Oja. We next prove that a slightly modified version of the update rule has the global convergence property under certain conditions |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
nonnegative matrix factorization / multiplicative update / boundedness / global convergence / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 115, no. 395, SIP2015-73, pp. 67-72, Jan. 2016. |
Paper # |
SIP2015-73 |
Date of Issue |
2016-01-11 (IT, SIP, RCS) |
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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IT2015-59 SIP2015-73 RCS2015-291 |
Conference Information |
Committee |
RCS IT SIP |
Conference Date |
2016-01-18 - 2016-01-19 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kwansei Gakuin Univ. Osaka Umeda Campus |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Signal Processing for Wireless Communications, Learning, Mathematical Science, Communication Theory, etc. |
Paper Information |
Registration To |
SIP |
Conference Code |
2016-01-RCS-IT-SIP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Multiplicative Update for Nonnegative Matrix Factorization based on Generalized Error Function and Its Global Convergence |
Sub Title (in English) |
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Keyword(1) |
nonnegative matrix factorization |
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multiplicative update |
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boundedness |
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global convergence |
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1st Author's Name |
Masato Seki |
1st Author's Affiliation |
Okayama University (Okayama Univ.) |
2nd Author's Name |
Norikazu Takahashi |
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Okayama University (Okayama Univ.) |
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Speaker |
Author-1 |
Date Time |
2016-01-18 10:35:00 |
Presentation Time |
25 minutes |
Registration for |
SIP |
Paper # |
IT2015-59, SIP2015-73, RCS2015-291 |
Volume (vol) |
vol.115 |
Number (no) |
no.394(IT), no.395(SIP), no.396(RCS) |
Page |
pp.67-72 |
#Pages |
6 |
Date of Issue |
2016-01-11 (IT, SIP, RCS) |
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