IEICE Technical Committee Submission System
Conference Paper's Information
Online Proceedings
[Sign in]
... (for ESS/CS/ES/ISS)
Tech. Rep. Archives
... (for ES/CS)
 Go Top Page Go Previous   [Japanese] / [English] 

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.)
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

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  
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.)
3rd Author's Name  
3rd Author's Affiliation ()
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
Date Time 2009-10-24 10:15:00 
Presentation Time 25 
Registration for NC 
Paper # IEICE-NC2009-43 
Volume (vol) IEICE-109 
Number (no) no.252 
Page pp.35-40 
#Pages IEICE-6 
Date of Issue IEICE-NC-2009-10-16 

[Return to Top Page]

[Return to IEICE Web Page]

The Institute of Electronics, Information and Communication Engineers (IEICE), Japan