| Presentation | 2012-07-30 On Local Analytic Activation Function in Quaternionic Hopfield Neural Network Teijiro ISOKAWA, Haruhiko NISHIMURA, Nobuyuki MATSUI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is difficult to introduce appropriate activation functions to neural networks in the hypercomplex domains, and few functions have been developed so that bounded and analytic (differentiable) conditions are satisfied, as compared with the activation functions in real-valued neural networks. This paper proposes a Hopfield-type neural network on quaternion which is a class of hypercomplex number systems. The activation function in the proposed network is an extension of tanh function in the complex domain with introducing local analyticiy. The stability conditions of this network is also shown by proving monotonic decrease of energy for the network with respect to the changes of neuron states. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Quaternion / Hopfield neural network / Local analyticity / Activation function / Complex-valued neural networks |
| Paper # | NC2012-18 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2012/7/23(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) | On Local Analytic Activation Function in Quaternionic Hopfield Neural Network |
| Sub Title (in English) | |
| Keyword(1) | Quaternion |
| Keyword(2) | Hopfield neural network |
| Keyword(3) | Local analyticity |
| Keyword(4) | Activation function |
| Keyword(5) | Complex-valued neural networks |
| 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 | 2012-07-30 |
| Paper # | NC2012-18 |
| Volume (vol) | vol.112 |
| Number (no) | 168 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |