Paper Abstract and Keywords |
Presentation |
2024-03-03 15:00
The Generalized Denoising Autoencoder with Tweedie's Formula Yuta Aishima (NAIST), Sho Sonoda (RIKEN), Noboru Isobe (Tokyo Univ.), Kazushi Ikeda (NAIST) IBISML2023-40 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Denoising autoencoders learn the score of the data-generating distribution, i.e., $nabla log p(x)$. However, theoretical studies have discussed only the case when the corruption process is Gaussian. To generalize the previous results, in this study, we extend the class of distributions to an exponential family. By using Tweedie's formula, we show that the generalized DAE learns score of marginal distribution $q(tilde x) = int q(tilde x|x)p(x)dx$, while Gaussian DAE learns the score of the data-generating distribution $p(x)$. Furthermore, we prove that this marginal score is equivalent to the gradient of the entropy of the corruption process. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
denoising autoencoders / denoising score matching / Tweedie's formula / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 123, no. 410, IBISML2023-40, pp. 1-5, March 2024. |
Paper # |
IBISML2023-40 |
Date of Issue |
2024-02-25 (IBISML) |
ISSN |
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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IBISML2023-40 |
Conference Information |
Committee |
PRMU IBISML IPSJ-CVIM |
Conference Date |
2024-03-03 - 2024-03-04 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Hiroshima Univ. Higashi-Hiroshima campus |
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(See Japanese page) |
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Paper Information |
Registration To |
IBISML |
Conference Code |
2024-03-PRMU-IBISML-CVIM |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
The Generalized Denoising Autoencoder with Tweedie's Formula |
Sub Title (in English) |
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Keyword(1) |
denoising autoencoders |
Keyword(2) |
denoising score matching |
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Tweedie's formula |
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1st Author's Name |
Yuta Aishima |
1st Author's Affiliation |
Nara Institute of Science and Technology (NAIST) |
2nd Author's Name |
Sho Sonoda |
2nd Author's Affiliation |
RIKEN AIP (RIKEN) |
3rd Author's Name |
Noboru Isobe |
3rd Author's Affiliation |
Tokyo University (Tokyo Univ.) |
4th Author's Name |
Kazushi Ikeda |
4th Author's Affiliation |
Nara Institute of Science and Technology (NAIST) |
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Speaker |
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Date Time |
2024-03-03 15:00:00 |
Presentation Time |
15 minutes |
Registration for |
IBISML |
Paper # |
IBISML2023-40 |
Volume (vol) |
vol.123 |
Number (no) |
no.410 |
Page |
pp.1-5 |
#Pages |
5 |
Date of Issue |
2024-02-25 (IBISML) |
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