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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NC2011-73 |
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) |
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Keyword(1) |
Latent Variational method |
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Bayes Inference |
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Poisson noise |
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Image restoration |
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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 |
6 |
Date of Issue |
2011-11-17 (NC) |
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