| Presentation | 2009-10-23 Statistical mechanics of a Mexican-hat-type network with Depressing Synapses Yasuhiko IGARASHI, Masafumi OIZUMI, Masato OKADA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We analyze a stochastic binary neural network model with depressing synapses by the mean-field theory to explore the effects of synaptic depression on macroscopic behavior of the system. Taking advantage of independence at equal time between a depression variable and a firing state variable, we derive microscopic dynamical mean field equations for a stochastic binary neural network model with depressing synapses. We consider a network with homogeneous connectivity and that with Mexican-hat type connectivity. Based on the microscopic equations, we derive macroscopic steady state equations for these networks. We analyze the stabilities of the steady states in Fourier space and investigate how synaptic depression affects macroscopic properties of these networks. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Synaptic depression / Mexican-hat type interaction / Mean-field analysis / Rotating state |
| Paper # | NC2009-40 |
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| Committee | NC |
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| Conference Date | 2009/10/16(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| 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) | Statistical mechanics of a Mexican-hat-type network with Depressing Synapses |
| Sub Title (in English) | |
| Keyword(1) | Synaptic depression |
| Keyword(2) | Mexican-hat type interaction |
| Keyword(3) | Mean-field analysis |
| Keyword(4) | Rotating state |
| 1st Author's Name | Yasuhiko IGARASHI |
| 1st Author's Affiliation | Graduate School of Frontier Sciences, The University of Tokyo() |
| 2nd Author's Name | Masafumi OIZUMI |
| 2nd Author's Affiliation | Graduate School of Frontier Sciences, The University of Tokyo |
| 3rd Author's Name | Masato OKADA |
| 3rd Author's Affiliation | Graduate School of Frontier Sciences, The University of Tokyo:RIKEN Brain Science Institute |
| Date | 2009-10-23 |
| Paper # | NC2009-40 |
| Volume (vol) | vol.109 |
| Number (no) | 252 |
| Page | pp.pp.- |
| #Pages | 6 |
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