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| Presentation | 2008-01-15 14:40 Statistical-mechanical analysis of neural networks consisting of hysteresis neurons Yukihiro Tsuboshita, Hiroshi Okamoto (Fuji Xerox Co., Ltd.), Masato Okada (Tokyo Univ.)  NC2007-90 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In recent years, neural networks consisting of hysteresis neurons have been getting an important neural network model both theoretically and experimentally. The neural network consisting of hysteresis neurons have attractors that continuously depend on their initial states. In the present study, taking infinite range model as an example, we examined the mechanism how the hysteretic property of neurons generates continuous attractors by statistical-mechanical approach. We calculated the macro order parameter of the system form master equation and analyzed the equilibrium distribution and the stability of the fixed points. According to the result, we have found that the hysteretic property causes the system to strengthen the tendency to ferromagnetic behavior; on the other hand it causes the continuous region in which the relaxation time is very slow. These results shows that continuous attractors resulting from the hysteresis neurons are continuous fixed points that unchanged any more in the finite time within the continuous region in which the relaxation time is very slow. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | hysteresis neuron / infinite range model / relaxation time / continuous attractor / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 107, no. 413, NC2007-90, pp. 19-24, Jan. 2008. | |
| Paper # | NC2007-90 | |
| Date of Issue | 2008-01-08 (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 | NC2007-90 |
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| Conference Information | |
| Committee | NC |
| Conference Date | 2008-01-15 - 2008-01-16 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Centennial Hall, Hokkaido Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Machine Learning, etc. |
| Paper Information | |
| Registration To | NC |
| Conference Code | 2008-01-NC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Statistical-mechanical analysis of neural networks consisting of hysteresis neurons |
| Sub Title (in English) | |
| Keyword(1) | hysteresis neuron |
| Keyword(2) | infinite range model |
| Keyword(3) | relaxation time |
| Keyword(4) | continuous attractor |
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| 1st Author's Name | Yukihiro Tsuboshita |
| 1st Author's Affiliation | Fuji Xerox Co., Ltd. (Fuji Xerox Co., Ltd.) |
| 2nd Author's Name | Hiroshi Okamoto |
| 2nd Author's Affiliation | Fuji Xerox Co., Ltd. (Fuji Xerox Co., Ltd.) |
| 3rd Author's Name | Masato Okada |
| 3rd Author's Affiliation | Tokyo University (Tokyo Univ.) |
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| Speaker | Author-1 |
| Date Time | 2008-01-15 14:40:00 |
| Presentation Time | 20 minutes |
| Registration for | NC |
| Paper # | NC2007-90 |
| Volume (vol) | vol.107 |
| Number (no) | no.413 |
| Page | pp.19-24 |
| #Pages | 6 |
| Date of Issue | 2008-01-08 (NC) |
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