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Paper Abstract and Keywords
Presentation 2009-10-24 10:15
Construction of the maximizer of posterior marginal estimate by Langevin equation in probabilistic image processing
Wataru Norimatsu, Jun-ichi Inoue (Hokkaido Univ.) NC2009-43
Abstract (in Japanese) (See Japanese page) 
(in English) We formulate the maximizer of posterior marginal (MPM) estimate for Bayesian probabilistic image processing by using the Langevin equation. We also evaluate the statistical performance from the view point of statistical mechanics of information. The multi-state Ising model and additive white Gaussian noise are introduced as the regularization term and the degrading process, respectively. Then, the recursion relations with respect to each pixel are derived via the extremum condition of energy function. The long-time average of time series derived from the
recursion relations gives the maximum a posteriori (MAP) estimate and it is shown that the estimate is regarded as a kind of the average filter. We next try to construct the estimate using the fluctuation around the MAP estimate by solving stochastic differential equations and evaluate the performance both numerically and analytically. Finally, we show that it is possible to construct the MPM estimate by simulating the Langevin equation numerically.
Keyword (in Japanese) (See Japanese page) 
(in English) Statistical mechanics of information / Bayesian inference / Image restoration / Markov random fields / Langevin equation / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 252, NC2009-43, pp. 35-40, Oct. 2009.
Paper # NC2009-43 
Date of Issue 2009-10-16 (NC) 
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 NC2009-43

Conference Information
Committee NC  
Conference Date 2009-10-23 - 2009-10-24 
Place (in Japanese) (See Japanese page) 
Place (in English) Saga University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NC 
Conference Code 2009-10-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Construction of the maximizer of posterior marginal estimate by Langevin equation in probabilistic image processing 
Sub Title (in English)  
Keyword(1) Statistical mechanics of information  
Keyword(2) Bayesian inference  
Keyword(3) Image restoration  
Keyword(4) Markov random fields  
Keyword(5) Langevin equation  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Wataru Norimatsu  
1st Author's Affiliation Hokkaido University (Hokkaido Univ.)
2nd Author's Name Jun-ichi Inoue  
2nd Author's Affiliation Hokkaido University (Hokkaido Univ.)
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Speaker Author-1 
Date Time 2009-10-24 10:15:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2009-43 
Volume (vol) vol.109 
Number (no) no.252 
Page pp.35-40 
#Pages 6 
Date of Issue 2009-10-16 (NC) 

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