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 |
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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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) |
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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 |
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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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Speaker |
Author-1 |
Date Time |
2012-03-08 14:10:00 |
Presentation Time |
25 minutes |
Registration for |
SIP |
Paper # |
CAS2011-115, SIP2011-135, CS2011-107 |
Volume (vol) |
vol.111 |
Number (no) |
no.465(CAS), no.466(SIP), no.467(CS) |
Page |
pp.49-54 |
#Pages |
6 |
Date of Issue |
2012-03-01 (CAS, SIP, CS) |
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