| Presentation | 2007-01-26 Comparative Study on Ising and McCulloch-Pitts Neural Networks with Random Interacrion Hiromitsu URANO, Kosuke HAMAGUCHI, Masato OKADA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In the statistical mechanical framework, the firing and non-firing states of neuron are usually represented by the Ising spin (±1). On the other hand, they represented by 1 and 0 in the McCulloch-Pitts neuron. We compared the Ising spin and McCulloch-Pitts neuron systems which have random iteraction obeying the Gaussian distribution through the replica method. We found that it is imposible to define boudary between the paramagnetic and spin glass phases, and that the standard recipe of the AT stability can not applied in the McCulloch-Pitts neuron system. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Ising spin / McCulloch-Pitts neuron / Statistical mechanics / Replica method / Replica symmetry breaking / AT line |
| Paper # | NC2006-101 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2007/1/19(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) | Comparative Study on Ising and McCulloch-Pitts Neural Networks with Random Interacrion |
| Sub Title (in English) | |
| Keyword(1) | Ising spin |
| Keyword(2) | McCulloch-Pitts neuron |
| Keyword(3) | Statistical mechanics |
| Keyword(4) | Replica method |
| Keyword(5) | Replica symmetry breaking |
| Keyword(6) | AT line |
| 1st Author's Name | Hiromitsu URANO |
| 1st Author's Affiliation | Graduate School of Frontier Sciences, University of Tokyo() |
| 2nd Author's Name | Kosuke HAMAGUCHI |
| 2nd Author's Affiliation | Laboratory of Neurophysics and Physiology UMR 8119 CNRS-University Rene Descartes:Amari Research Unit, Brain Science Institute, RIKEN |
| 3rd Author's Name | Masato OKADA |
| 3rd Author's Affiliation | Graduate School of Frontier Sciences, University of Tokyo:Brain Science Institute, RIKEN |
| Date | 2007-01-26 |
| Paper # | NC2006-101 |
| Volume (vol) | vol.106 |
| Number (no) | 501 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |