| Presentation | 2009-01-19 Statistical mechanics of the Hopfield model with replacing units Yasunao KOMATSU, Toru AONISHI, Koji KURATA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | There is a critical memory capacity in the Hopfield model. If the number of embed patterns surpasses the crirical number, the network cannot retrieve all patterns due to the overloading. On the other hands, It has been reported that the network, in which a number of units are replaced by newborn ones when the networks learn, can keep up memory patterns studied recently without the overloading. We analyze the network with replacing units by utilizing statistical mechanics. We show that the critical number of replacing units is R_c=3.2 avoiding the overloading and independent of the network size. In addition, we demonstrate that there is the optimal number of replacing units to maximize the memory capacity. Finally, we compare a model with forgetting process with one with replacing process. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | associative memory / rebirth neuron / overloading / statistical mechanics |
| Paper # | NC2008-90 |
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| Committee | NC |
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| Conference Date | 2009/1/12(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 the Hopfield model with replacing units |
| Sub Title (in English) | |
| Keyword(1) | associative memory |
| Keyword(2) | rebirth neuron |
| Keyword(3) | overloading |
| Keyword(4) | statistical mechanics |
| 1st Author's Name | Yasunao KOMATSU |
| 1st Author's Affiliation | Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology() |
| 2nd Author's Name | Toru AONISHI |
| 2nd Author's Affiliation | Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology |
| 3rd Author's Name | Koji KURATA |
| 3rd Author's Affiliation | Faculty of Engineering, University of the Ryukyus |
| Date | 2009-01-19 |
| Paper # | NC2008-90 |
| Volume (vol) | vol.108 |
| Number (no) | 383 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |