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| Presentation | 2018-03-06 14:00 Natural gradient method by the symmetry in data for complex valued neural networks Junichi Mukuno, Hajime Matsui (Toyota Technological Inst.)  IBISML2017-104 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | On the real valued neural networks, the natural gradient method is proposed by Amari to resolve the problem the speed of learning is slow by using Riemannian metric and moreover is known that there is good properties. We consider a method extending the natural gradient method to complex valued neural networks in this research. Complex numbers are suited for representing reｆｌections and rotations in the plane. By focusing on its property, we show that the output function of the complex neural networks can have a property of conjugate invariance and rotation invariance when data set is conjugate invariant and rotation invariant, respectively. Through simulation experiences, we check the performance of our proposal. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | complex valued neural network / natural gradient / symmetry of data / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 117, no. 475, IBISML2017-104, pp. 97-102, March 2018. | |
| Paper # | IBISML2017-104 | |
| Date of Issue | 2018-02-26 (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 | IBISML2017-104 |
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| Conference Information | |
| Committee | IBISML |
| Conference Date | 2018-03-05 - 2018-03-06 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Nishijin Plaza, Kyushu University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Statisitical Mathematics, Machine Learning, Data Mining, etc. |
| Paper Information | |
| Registration To | IBISML |
| Conference Code | 2018-03-IBISML |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Natural gradient method by the symmetry in data for complex valued neural networks |
| Sub Title (in English) | |
| Keyword(1) | complex valued neural network |
| Keyword(2) | natural gradient |
| Keyword(3) | symmetry of data |
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| 1st Author's Name | Junichi Mukuno |
| 1st Author's Affiliation | Toyota Technological Institute (Toyota Technological Inst.) |
| 2nd Author's Name | Hajime Matsui |
| 2nd Author's Affiliation | Toyota Technological Institute (Toyota Technological Inst.) |
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| Speaker | Author-1 |
| Date Time | 2018-03-06 14:00:00 |
| Presentation Time | 25 minutes |
| Registration for | IBISML |
| Paper # | IBISML2017-104 |
| Volume (vol) | vol.117 |
| Number (no) | no.475 |
| Page | pp.97-102 |
| #Pages | 6 |
| Date of Issue | 2018-02-26 (IBISML) |
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