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Paper Abstract and Keywords
Presentation 2011-11-24 16:35
A deterministic algorithm for hyperparameter estimation in nonlinear Markov random field model
Yoshinori Ohno, Kenji Nagata (Univ. Tokyo), Hayaru Shouno (U.E.C.), Masato Okada (Univ. Tokyo/RIKEN) NC2011-74
Abstract (in Japanese) (See Japanese page) 
(in English) Image restoration widely used in natural science is often formulated by Markov random field (MRF) model. In MRF model, the framework of Bayesian inference allows us to estimate the hyperparameters through free-energy minimization. When a nonlinear function represents the observation process, Markov chain Monte Carlo method has been applied to hyperparameter estimation so far. While the previous method retains nonlinearity, it is a probablistic algorithm, which makes convergence judgement difficult and increases computational complexity. In this paper, we propose a deterministic algorithm for hyperparameter estimation in nonlinear MRF model, by linearizing the observation process to calculate the free-energy and estimate the hyperparameters analytically. Besides, we use artificial image data to show the efficiency of the proposed method.
Keyword (in Japanese) (See Japanese page) 
(in English) nonlinear MRF model / hyperparameter estimation / deterministic algorithm / linear approximation / / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 315, NC2011-74, pp. 17-22, Nov. 2011.
Paper # NC2011-74 
Date of Issue 2011-11-17 (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 NC2011-74

Conference Information
Committee MBE NC  
Conference Date 2011-11-24 - 2011-11-25 
Place (in Japanese) (See Japanese page) 
Place (in English) ECEI Departments, Graduate School of Engineering, Tohoku University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) BCI/BMI (NC special session), etc. 
Paper Information
Registration To NC 
Conference Code 2011-11-MBE-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A deterministic algorithm for hyperparameter estimation in nonlinear Markov random field model 
Sub Title (in English)  
Keyword(1) nonlinear MRF model  
Keyword(2) hyperparameter estimation  
Keyword(3) deterministic algorithm  
Keyword(4) linear approximation  
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1st Author's Name Yoshinori Ohno  
1st Author's Affiliation The University of Tokyo (Univ. Tokyo)
2nd Author's Name Kenji Nagata  
2nd Author's Affiliation The University of Tokyo (Univ. Tokyo)
3rd Author's Name Hayaru Shouno  
3rd Author's Affiliation The University of Electro-Communications (U.E.C.)
4th Author's Name Masato Okada  
4th Author's Affiliation The University of Tokyo/RIKEN (Univ. Tokyo/RIKEN)
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Speaker Author-1 
Date Time 2011-11-24 16:35:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2011-74 
Volume (vol) vol.111 
Number (no) no.315 
Page pp.17-22 
#Pages 6 
Date of Issue 2011-11-17 (NC) 

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