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Paper Abstract and Keywords
Presentation 2011-03-03 09:40
NMF Considering Given Vectors in a Basis
Yuta Amano, Akira Tanaka, Masaaki Miyakoshi (Hokkaido Univ) CAS2010-125 SIP2010-141 CS2010-95
Abstract (in Japanese) (See Japanese page) 
(in English) Recently, a novel matrix factorization, named non-negarive matrix factorization (NMF), attracts much attention in the field of signal processing. A matrix with non-negative elements can be decomposed into
a product of two matrices with non-negative elements by the NMF. One resulting matrix can be regarded as a basis matrix; and the other
can be regarded as a coefficient matrix giving linear combinations of
the basis. In practical problems, there exists a case where an ideal
basis is partially known. In this paper, we propose a novel method for NMF considering given vectors in an ideal basis. We introduce a criterion for the method and construct an algorithm to optimize the criterion. Moreover, we prove that the proposed algorithm surely converges. Some results of computer simulations are also given to verify the efficacy of the proposed method.
Keyword (in Japanese) (See Japanese page) 
(in English) non-negative matrix factorization / basis vectors / iterative algorithm / auxiliary function / / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 440, SIP2010-141, pp. 137-141, March 2011.
Paper # SIP2010-141 
Date of Issue 2011-02-24 (CAS, SIP, CS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 CAS2010-125 SIP2010-141 CS2010-95

Conference Information
Committee CS SIP CAS  
Conference Date 2011-03-03 - 2011-03-04 
Place (in Japanese) (See Japanese page) 
Place (in English) Ohhamanobumoto memorial hall (Ishigaki)( 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Network Processor, Signal Processing for Communications, Wireless LAN/PAN, etc. 
Paper Information
Registration To SIP 
Conference Code 2011-03-CS-SIP-CAS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) NMF Considering Given Vectors in a Basis 
Sub Title (in English)  
Keyword(1) non-negative matrix factorization  
Keyword(2) basis vectors  
Keyword(3) iterative algorithm  
Keyword(4) auxiliary function  
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1st Author's Name Yuta Amano  
1st Author's Affiliation Hokkaido University (Hokkaido Univ)
2nd Author's Name Akira Tanaka  
2nd Author's Affiliation Hokkaido University (Hokkaido Univ)
3rd Author's Name Masaaki Miyakoshi  
3rd Author's Affiliation Hokkaido University (Hokkaido Univ)
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Speaker Author-1 
Date Time 2011-03-03 09:40:00 
Presentation Time 20 minutes 
Registration for SIP 
Paper # CAS2010-125, SIP2010-141, CS2010-95 
Volume (vol) vol.110 
Number (no) no.439(CAS), no.440(SIP), no.441(CS) 
Page pp.137-141 
#Pages
Date of Issue 2011-02-24 (CAS, SIP, CS) 


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