| Presentation | 2011-07-25 Stability Analysis on Multistate Hopfield Neural Networks Based on Commutative Quaternion Teijiro ISOKAWA, Haruhiko NISHIMURA, Nobuyuki MATSUI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Commutative Quaternion / Quaternion / Hopfield Neural Network / Idempotent base / Complex-valued Neural Network |
| Paper # | NC2011-20 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2011/7/18(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| 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 |
| 1st Author's Name | Teijiro ISOKAWA |
| 1st Author's Affiliation | Graduate School of Engineering, University of Hyogo() |
| 2nd Author's Name | Haruhiko NISHIMURA |
| 2nd Author's Affiliation | Graduate School of Applied Informatics, University of Hyogo |
| 3rd Author's Name | Nobuyuki MATSUI |
| 3rd Author's Affiliation | Graduate School of Engineering, University of Hyogo |
| Date | 2011-07-25 |
| Paper # | NC2011-20 |
| Volume (vol) | vol.111 |
| Number (no) | 157 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |