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| Presentation | 2012-01-26 10:15 Statistic and dynamics of the Hopfield model with unlearning term Haruka Otani, Midori Yoshida, Tatsuya Uezu (Nara Woman's Univ.)  NC2011-100 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In the Hopfield model, there is a low temperature region where the Hopfield attractor representing a memory state and mixed states representing mixture of several memory states are stable. In this paper, modifying the Hopfield model with a few memory patterns by subtracting a mixed state as an unlearning term, we studied whether it is possible to make the mixed state unstable or not. We drew a phase diagram in the parameter space of the unlearning coefficient $\eta$ and the 'temperature' $T$ which is a measure of probabilistic nature of the system, and found that the mixed state can be deleted by unlearning. We studied dynamical behavior of the system, and proved that the static and dynamic stabilities coincide. Furthermore, we studied the Hopfield model with several unlearning terms, and confirmed that the system is structurally sable. Theoretical results and numerical results by Monte Carlo simulations agree quite well. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Hopfield model / unlearning / Hopfield sttractor / mixed state / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 419, NC2011-100, pp. 19-24, Jan. 2012. | |
| Paper # | NC2011-100 | |
| Date of Issue | 2012-01-19 (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 | NC2011-100 |
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| Conference Information | |
| Committee | NC |
| Conference Date | 2012-01-26 - 2012-01-27 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Future University Hakodate |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General, Complex Systems and Neurocomputing |
| Paper Information | |
| Registration To | NC |
| Conference Code | 2012-01-NC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Statistic and dynamics of the Hopfield model with unlearning term |
| Sub Title (in English) | |
| Keyword(1) | Hopfield model |
| Keyword(2) | unlearning |
| Keyword(3) | Hopfield sttractor |
| Keyword(4) | mixed state |
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| Keyword(8) | |
| 1st Author's Name | Haruka Otani |
| 1st Author's Affiliation | Nara Woman's University (Nara Woman's Univ.) |
| 2nd Author's Name | Midori Yoshida |
| 2nd Author's Affiliation | Nara Woman's University (Nara Woman's Univ.) |
| 3rd Author's Name | Tatsuya Uezu |
| 3rd Author's Affiliation | Nara Woman's University (Nara Woman's Univ.) |
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| Speaker | Author-1 |
| Date Time | 2012-01-26 10:15:00 |
| Presentation Time | 25 minutes |
| Registration for | NC |
| Paper # | NC2011-100 |
| Volume (vol) | vol.111 |
| Number (no) | no.419 |
| Page | pp.19-24 |
| #Pages | 6 |
| Date of Issue | 2012-01-19 (NC) |
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