| Presentation | 2010-03-01 Numerically Stable Algorithms for Adaptive Generalized Minor Subspace Extraction Tuan-Duong NGUYEN, Noriyuki TAKAHASHI, Isao YAMADA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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). |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Adaptive minor generalized eigenvectors extraction / generalized eigen-decomposition / power method / modified Oja-Xu MCA learning / orthogonal complement matrix |
| Paper # | CAS2009-102,SIP2009-147,CS2009-97 |
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| Conference Information | |
| Committee | CS |
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| Conference Date | 2010/2/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Communication Systems (CS) |
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| Language | ENG |
| 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 |
| 1st Author's Name | Tuan-Duong NGUYEN |
| 1st Author's Affiliation | Department of Computer Science, Tokyo Institute of Technology() |
| 2nd Author's Name | Noriyuki TAKAHASHI |
| 2nd Author's Affiliation | Global Edge Institute, Tokyo Institute of Technology |
| 3rd Author's Name | Isao YAMADA |
| 3rd Author's Affiliation | Department of Communications and Integrated Systems, Tokyo Institute of Technology |
| Date | 2010-03-01 |
| Paper # | CAS2009-102,SIP2009-147,CS2009-97 |
| Volume (vol) | vol.109 |
| Number (no) | 436 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |