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| Presentation | 2010-03-01 15:40 Numerically Stable Algorithms for Adaptive Generalized Minor Subspace Extraction Tuan Duong Nguyen, Noriyuki Takahashi, Isao Yamada (Tokyo Inst. of Tech.)  CAS2009-102 SIP2009-147 CS2009-97 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | This paper presents numerically stable algorithms for adaptive generalized minor subspace extraction. We first propose two algorithms for extracting the generalized eigenvector corresponding to the smallest generalized eigenvalue (i) based on the power method and (ii) by extending the modified Oja--Xu MCA learning algorithm proposed by Peng and Yi ('07). Then, these algorithms are utilized to extract generalized minor subspace in combination with (i) an extension of dimensional reduction technique by Misono and Yamada ('08) and (ii) the Gram--Schmidt process. Numerical examples show that the proposed algorithms are faster and more numerically stable than the reduced-rank generalized eigenvector extraction (R-GEVE) algorithm ('08). |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Adaptive minor generalized eigenvectors extraction / generalized eigen-decomposition / power method / modified Oja-Xu MCA learning / orthogonal complement matrix / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 109, no. 435, SIP2009-147, pp. 141-146, March 2010. | |
| Paper # | SIP2009-147 | |
| Date of Issue | 2010-02-22 (CAS, SIP, CS) | |
| 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 | CAS2009-102 SIP2009-147 CS2009-97 |
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| Conference Information | |
| Committee | SIP CAS CS |
| Conference Date | 2010-03-01 - 2010-03-02 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hotel Breeze Bay Marina, Miyakojima |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Signal processing for networking and communications, and others |
| Paper Information | |
| Registration To | SIP |
| Conference Code | 2010-03-SIP-CAS-CS |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Numerically Stable Algorithms for Adaptive Generalized Minor Subspace Extraction |
| Sub Title (in English) | |
| Keyword(1) | Adaptive minor generalized eigenvectors extraction |
| Keyword(2) | generalized eigen-decomposition |
| Keyword(3) | power method |
| Keyword(4) | modified Oja-Xu MCA learning |
| Keyword(5) | orthogonal complement matrix |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Tuan Duong Nguyen |
| 1st Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 2nd Author's Name | Noriyuki Takahashi |
| 2nd Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
| 3rd Author's Name | Isao Yamada |
| 3rd Author's Affiliation | Tokyo Institute of Technology (Tokyo Inst. of Tech.) |
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| Speaker | Author-1 |
| Date Time | 2010-03-01 15:40:00 |
| Presentation Time | 20 minutes |
| Registration for | SIP |
| Paper # | CAS2009-102, SIP2009-147, CS2009-97 |
| Volume (vol) | vol.109 |
| Number (no) | no.434(CAS), no.435(SIP), no.436(CS) |
| Page | pp.141-146 |
| #Pages | 6 |
| Date of Issue | 2010-02-22 (CAS, SIP, CS) |
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