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| Presentation | 2011-07-25 10:20 Stability Analysis on Multistate Hopfield Neural Networks Based on Commutative Quaternion Teijiro Isokawa, Haruhiko Nishimura, Nobuyuki Matsui (Univ. Hyogo)  NC2011-20 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Two types of multistate Hopfield neural networks are explored in this paper. These networks are based on commutative quaternions that are similar to Hamilton's quaternions but with commutative multiplication. In one type of the networks, the state of a neuron is represented by two kinds of phases and one real number. The other type of the networks adopts the decomposed form of commutative quaternion. In this network, the state of a neuron consists of a combination of two complex values. The stabilities of these networks are proven, i.e., the energies never increase with respect to the state changes. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Commutative Quaternion / Quaternion / Hopfield Neural Network / Idempotent base / Complex-valued Neural Network / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 111, no. 157, NC2011-20, pp. 1-6, July 2011. | |
| Paper # | NC2011-20 | |
| Date of Issue | 2011-07-18 (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 | NC2011-20 |
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| Conference Information | |
| Committee | NC |
| Conference Date | 2011-07-25 - 2011-07-26 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Graduate School of Engineering, Kobe University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Intelligent systems and general |
| Paper Information | |
| Registration To | NC |
| Conference Code | 2011-07-NC |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Stability Analysis on Multistate Hopfield Neural Networks Based on Commutative Quaternion |
| Sub Title (in English) | |
| Keyword(1) | Commutative Quaternion |
| Keyword(2) | Quaternion |
| Keyword(3) | Hopfield Neural Network |
| Keyword(4) | Idempotent base |
| Keyword(5) | Complex-valued Neural Network |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Teijiro Isokawa |
| 1st Author's Affiliation | University of Hyogo (Univ. Hyogo) |
| 2nd Author's Name | Haruhiko Nishimura |
| 2nd Author's Affiliation | University of Hyogo (Univ. Hyogo) |
| 3rd Author's Name | Nobuyuki Matsui |
| 3rd Author's Affiliation | University of Hyogo (Univ. Hyogo) |
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| Speaker | Author-1 |
| Date Time | 2011-07-25 10:20:00 |
| Presentation Time | 25 minutes |
| Registration for | NC |
| Paper # | NC2011-20 |
| Volume (vol) | vol.111 |
| Number (no) | no.157 |
| Page | pp.1-6 |
| #Pages | 6 |
| Date of Issue | 2011-07-18 (NC) |
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