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| Presentation | 2013-11-13 15:45 [Poster Presentation] Improvement of independent component analysis by an estimation of the error distribution of higher-order statistics Yoshitatsu Matsuda, Kazunori Yamaguchi (Univ. of Tokyo)  IBISML2013-59 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Independent component analysis (ICA) is a solution for blind source separation problems. ICA can estimate the sources by utilizing the higher-order statistics under the assumptions that the sources are independent of each other and they are given according to any non-Gaussian distributions. In the previous works on ICA, it was known that ICA can estimate the sources accurately if the sample size of them is sufficiently large. However, it has been unclear which ICA is robust or not for a small size of samples. In this paper, a new extension of joint approximate approximation (JAD, which is a method of ICA) is proposed in order to ameliorate the robustness for a small size of samples. In the proposed method, the error distribution of the estimation of the higher-order statistics in JAD is estimated when the sample size is small. The optimization problem of JAD is regarded as a maximum-likelihood problem by utilizing the estimated error distribution. Then, a more robust ICA is proposed. Moreover, numerical experiments are done in order to verify the validity of this method. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | independent component analysis / higher-order cumulants / robustness / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 286, IBISML2013-59, pp. 177-183, Nov. 2013. | |
| Paper # | IBISML2013-59 | |
| Date of Issue | 2013-11-05 (IBISML) | |
| 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 | IBISML2013-59 |
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| Conference Information | |
| Committee | IBISML |
| Conference Date | 2013-11-10 - 2013-11-13 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tokyo Institute of Technology, Kuramae-Kaikan |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | The 16th IBIS Workshop & The 2nd IBIS Tutorial |
| Paper Information | |
| Registration To | IBISML |
| Conference Code | 2013-11-IBISML |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Improvement of independent component analysis by an estimation of the error distribution of higher-order statistics |
| Sub Title (in English) | |
| Keyword(1) | independent component analysis |
| Keyword(2) | higher-order cumulants |
| Keyword(3) | robustness |
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| 1st Author's Name | Yoshitatsu Matsuda |
| 1st Author's Affiliation | University of Tokyo (Univ. of Tokyo) |
| 2nd Author's Name | Kazunori Yamaguchi |
| 2nd Author's Affiliation | University of Tokyo (Univ. of Tokyo) |
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| Speaker | Author-1 |
| Date Time | 2013-11-13 15:45:00 |
| Presentation Time | 180 minutes |
| Registration for | IBISML |
| Paper # | IBISML2013-59 |
| Volume (vol) | vol.113 |
| Number (no) | no.286 |
| Page | pp.177-183 |
| #Pages | 7 |
| Date of Issue | 2013-11-05 (IBISML) |
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