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Paper Abstract and Keywords
Presentation 2012-03-08 14:10
Three variants of alternating direction method of multipliers without certain inner iterations and their application to image super-resolution via sparse representation
Masao Yamagishi, Shunsuke Ono, Isao Yamada (Tokyo Inst. of Tech.) CAS2011-115 SIP2011-135 CS2011-107
Abstract (in Japanese) (See Japanese page) 
(in English) We propose three variants of Alternating Direction Method of Multipliers (ADMM) employing simplified updates under additional assumptions.
ADMM iteratively solves the minimization of the sum of two nonsmooth convex functions. Each iteration of ADMM itself consists of solving a certain convex optimization problem which often requires the use of some iterative solver. These inner iterations cause slow convergence.
Our proposed algorithms avoid certain inner iterations by employing simplified updates. Indeed, in several scenarios of image super-resolution via sparse representation, the proposed algorithms do not require matrix inversion which causes inner iterations in the standard ADMM. Numerical examples for the image super-resolution setting demonstrate that our proposed algorithms reduce CPU time to about $21$--$77$ percent of the standard ADMM.
Keyword (in Japanese) (See Japanese page) 
(in English) Convex optimization / Nonlinear iterative algorithms / Alternating direction method of multipliers / Image super-resolution / Sparse representation / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 466, SIP2011-135, pp. 49-54, March 2012.
Paper # SIP2011-135 
Date of Issue 2012-03-01 (CAS, SIP, CS) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 CAS2011-115 SIP2011-135 CS2011-107

Conference Information
Committee CAS CS SIP  
Conference Date 2012-03-08 - 2012-03-09 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Niigata 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Network Processor, Signal Processing for communication, and Wireless LAN/PAN, etc. 
Paper Information
Registration To SIP 
Conference Code 2012-03-CAS-CS-SIP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Three variants of alternating direction method of multipliers without certain inner iterations and their application to image super-resolution via sparse representation 
Sub Title (in English)  
Keyword(1) Convex optimization  
Keyword(2) Nonlinear iterative algorithms  
Keyword(3) Alternating direction method of multipliers  
Keyword(4) Image super-resolution  
Keyword(5) Sparse representation  
1st Author's Name Masao Yamagishi  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
2nd Author's Name Shunsuke Ono  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
3rd Author's Name Isao Yamada  
3rd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
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Date Time 2012-03-08 14:10:00 
Presentation Time 25 
Registration for SIP 
Paper # IEICE-CAS2011-115,IEICE-SIP2011-135,IEICE-CS2011-107 
Volume (vol) IEICE-111 
Number (no) no.465(CAS), no.466(SIP), no.467(CS) 
Page pp.49-54 
#Pages IEICE-6 
Date of Issue IEICE-CAS-2012-03-01,IEICE-SIP-2012-03-01,IEICE-CS-2012-03-01 

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