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| Presentation | 2008-10-14 14:45 Inverse Function Delayed Network with Higher-Order Connections Takahiro Sota, Yoshihiro Hayakawa, Koji Nakajima (Tohoku Univ.)  CAS2008-40 NLP2008-52 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The Inverse function Delayed (ID) model has been proposed as one of novel neural models. The ID model has the negative resistance effect in its dynamics, and we can destabilize undesirable states selectively by this effect. In the case of solving some combinatorial optimization problems like the N-Queen problem, the equilibrium points of optimal solution states (global minimum states) and other states (local minimum states) are separable. Hence we can destabilize only local minimum states selectively by using negative resistance of the ID model. However, in the case of solving the Traveling Salesman Problem (TSP), the equilibrium points of global minimum states and local minimum states are not separable by the same way. Hence we cannot destabilize only local minimum states. In this report, we introduce the higher-order synapse connections to the ID model, which is the Inverse Function Delayed model with higher-order connections (HC-ID model). By using the HC-ID model, we can divide the equilibrium points of global minimum states and local minimum states in the case of solving the TSP. Therefore, we can destabilize local minimum states selectively. Moreover, by solving 4-city and 6-city TSP as preliminary tests, we show that we can solve the TSP at 100\% success rate if the network state reaches the stationary state. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | neural network / Traveling Salesman Problem / Inverse function Delayed model / higher-order connection / negative resistance / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 108, no. 240, NLP2008-52, pp. 35-40, Oct. 2008. | |
| Paper # | NLP2008-52 | |
| Date of Issue | 2008-10-07 (CAS, NLP) | |
| 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 | CAS2008-40 NLP2008-52 |
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| Conference Information | |
| Committee | NLP CAS |
| Conference Date | 2008-10-14 - 2008-10-14 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2008-10-NLP-CAS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Inverse Function Delayed Network with Higher-Order Connections |
| Sub Title (in English) | |
| Keyword(1) | neural network |
| Keyword(2) | Traveling Salesman Problem |
| Keyword(3) | Inverse function Delayed model |
| Keyword(4) | higher-order connection |
| Keyword(5) | negative resistance |
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| Keyword(8) | |
| 1st Author's Name | Takahiro Sota |
| 1st Author's Affiliation | Tohoku University (Tohoku Univ.) |
| 2nd Author's Name | Yoshihiro Hayakawa |
| 2nd Author's Affiliation | Tohoku University (Tohoku Univ.) |
| 3rd Author's Name | Koji Nakajima |
| 3rd Author's Affiliation | Tohoku University (Tohoku Univ.) |
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| Speaker | Author-1 |
| Date Time | 2008-10-14 14:45:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | CAS2008-40, NLP2008-52 |
| Volume (vol) | vol.108 |
| Number (no) | no.239(CAS), no.240(NLP) |
| Page | pp.35-40 |
| #Pages | 6 |
| Date of Issue | 2008-10-07 (CAS, NLP) |
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