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Paper Abstract and Keywords
Presentation 2010-10-15 15:15
Finding a Most-Likely Solution of the Perturbed kLIN Problem
Osamu Watanabe (Tokyo Inst. of Tech.) COMP2010-37
Abstract (in Japanese) (See Japanese page) 
(in English) The kLIN problem is a problem of solving a system of linear
equations over GF(2) such that each equation consists of k variables.
We consider some random model for generating perturbed kLIN problem
instances and discuss the average-case complexity of finding its
most-likely solution. In particular, we consider the case where k = 3
and give some simple algorithms that solve the problem efficiently
on average. Some theoretical analysis supporting our preliminary
computer experiments is also given.
Keyword (in Japanese) (See Japanese page) 
(in English) MAX-3LIN / MAX-3XORSAT / average-case analysis / message passing algorithm / local search algorithm / spectral method / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 232, COMP2010-37, pp. 41-46, Oct. 2010.
Paper # COMP2010-37 
Date of Issue 2010-10-08 (COMP) 
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)
Download PDF COMP2010-37

Conference Information
Committee COMP  
Conference Date 2010-10-15 - 2010-10-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Tohoku Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2010-10-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Finding a Most-Likely Solution of the Perturbed kLIN Problem 
Sub Title (in English)  
Keyword(1) MAX-3LIN  
Keyword(2) MAX-3XORSAT  
Keyword(3) average-case analysis  
Keyword(4) message passing algorithm  
Keyword(5) local search algorithm  
Keyword(6) spectral method  
Keyword(7)  
Keyword(8)  
1st Author's Name Osamu Watanabe  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
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Speaker Author-1 
Date Time 2010-10-15 15:15:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2010-37 
Volume (vol) vol.110 
Number (no) no.232 
Page pp.41-46 
#Pages 6 
Date of Issue 2010-10-08 (COMP) 

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