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Paper Abstract and Keywords
Presentation 2011-11-24 16:10
An image restoration method for Poisson observation using a latent variational approximation
Hayaru Shouno (UEC), Ken Takiyama, Masato Okada (The Univ. of Tokyo) NC2011-73
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we treat an image restoration problem throughout a Poisson noise channel observation. The Poisson noise channel is often hard to tract in a theoretical analysis because of its non-negative property. In our formulation, we interpret the Poisson noise channel observation as a Bernoulli process, and apply a latent variable method to transform the observation as a Gaussian process with single latent variable. We formulate the image restoration problem as a Bayesian approach, and introduce a Gaussian Markov random field for its prior. The latent parameters and hyper-parameter, which determine the balance ratio between the observation fidelity and prior knowledge, are estimated by maximization of marginalized log-likelihood, known as “evidence” or “free energy”. In order to maximize marginalized log-likelihood, we introduce an expectation maximization algorithm.
Keyword (in Japanese) (See Japanese page) 
(in English) Latent Variational method / Bayes Inference / Poisson noise / Image restoration / Hyperparameter inference / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 315, NC2011-73, pp. 11-16, Nov. 2011.
Paper # NC2011-73 
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)
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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) An image restoration method for Poisson observation using a latent variational approximation 
Sub Title (in English)  
Keyword(1) Latent Variational method  
Keyword(2) Bayes Inference  
Keyword(3) Poisson noise  
Keyword(4) Image restoration  
Keyword(5) Hyperparameter inference  
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1st Author's Name Hayaru Shouno  
1st Author's Affiliation University of Electro-Communications (UEC)
2nd Author's Name Ken Takiyama  
2nd Author's Affiliation The University of Tokyo (The Univ. of Tokyo)
3rd Author's Name Masato Okada  
3rd Author's Affiliation The University of Tokyo (The Univ. of Tokyo)
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Speaker Author-1 
Date Time 2011-11-24 16:10:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2011-73 
Volume (vol) vol.111 
Number (no) no.315 
Page pp.11-16 
#Pages
Date of Issue 2011-11-17 (NC) 


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