| Presentation | 2008-10-14 Inverse Function Delayed Network with Higher-Order Connections Takahiro SOTA, Yoshihiro HAYAKAWA, Koji NAKAJIMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | neural network / Traveling Salesman Problem / Inverse function Delayed model / higher-order connection / negative resistance |
| Paper # | CAS2008-40,NLP2008-52 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2008/10/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| 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 |
| 1st Author's Name | Takahiro SOTA |
| 1st Author's Affiliation | Laboratory for Brainware, Laboratory for Nanoelectronics and Spintronics Research Inistiute of Electrical Communication, Tohoku University() |
| 2nd Author's Name | Yoshihiro HAYAKAWA |
| 2nd Author's Affiliation | Laboratory for Brainware, Laboratory for Nanoelectronics and Spintronics Research Inistiute of Electrical Communication, Tohoku University |
| 3rd Author's Name | Koji NAKAJIMA |
| 3rd Author's Affiliation | Laboratory for Brainware,Laboratory for Nanoelectronics and Spintronics Research Inistiute of Electrical Communication, Tohoku University |
| Date | 2008-10-14 |
| Paper # | CAS2008-40,NLP2008-52 |
| Volume (vol) | vol.108 |
| Number (no) | 240 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |