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| Presentation | 2009-05-25 11:00 Advantages and their origins of complex-valued neural networks Akira Hirose (The Univ. of Tokyo.)  NC2009-2 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We discuss the merits of complex-valued neural networks (CVNNs) and their origin. First we look back the mathematical history to elucidate the features of complex numbers, in particular to confirm the importance of the phase-and-amplitude viewpoint for designing and constructing CVNNs to enhance the features. The viewpoint is essential in general to deal with waves such as electromagnetic-wave and lightwave. Then we point out that, although we represent a complex number as an ordered pair of real numbers for example, we can reduce ineffective degree of freedom in learning or self-organization in CVNNs to achieve better generalization characteristics. This wave-oriented merit is useful widely for general signal processing with Fourier synthesis or in frequency-domain treatment through Fourier transform. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Complex number / ordered pair of real numbers / real 2$\times$2 matrix representatio / generalization / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 109, no. 53, NC2009-2, pp. 7-12, May 2009. | |
| Paper # | NC2009-2 | |
| Date of Issue | 2009-05-18 (NC) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | NC2009-2 |
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| Conference Information | |
| Committee | NC |
| Conference Date | 2009-05-25 - 2009-05-26 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | OIST, Okinawa |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Machine Learning Approach to Biodata Mining in Biological Phenomena, and General |
| Paper Information | |
| Registration To | NC |
| Conference Code | 2009-05-NC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Advantages and their origins of complex-valued neural networks |
| Sub Title (in English) | |
| Keyword(1) | Complex number |
| Keyword(2) | ordered pair of real numbers |
| Keyword(3) | real 2$\times$2 matrix representatio |
| Keyword(4) | generalization |
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| 1st Author's Name | Akira Hirose |
| 1st Author's Affiliation | The University of Tokyo (The Univ. of Tokyo.) |
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| Speaker | Author-1 |
| Date Time | 2009-05-25 11:00:00 |
| Presentation Time | 30 minutes |
| Registration for | NC |
| Paper # | NC2009-2 |
| Volume (vol) | vol.109 |
| Number (no) | no.53 |
| Page | pp.7-12 |
| #Pages | 6 |
| Date of Issue | 2009-05-18 (NC) |
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