| Presentation | 2012-01-26 Statistic and dynamics of the Hopfield model with unlearning term Haruka OTANI, Midori YOSHIDA, Tatsuya UEZU, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In the Hopfield model, there is a low temperature region where the Hopfield attractor representing a memory state and mixed states representing mixture of several memory states are stable. In this paper, modifying the Hopfield model with a few memory patterns by subtracting a mixed state as an unlearning term, we studied whether it is possible to make the mixed state unstable or not. We drew a phase diagram in the parameter space of the unlearning coefficient ri and the 'temperature' T which is a measure of probabilistic nature of the system, and found that the mixed state can be deleted by unlearning. We studied dynamical behavior of the system, and proved that the static and dynamic stabilities coincide. Furthermore, we studied the Hopfield model with several unlearning terms, and confirmed that the system is structurally sable. Theoretical results and numerical results by Monte Carlo simulations agree quite well. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Hopfield model / unlearning / Hopfield sttractor / mixed state |
| Paper # | NC2011-100 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2012/1/19(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) | Statistic and dynamics of the Hopfield model with unlearning term |
| Sub Title (in English) | |
| Keyword(1) | Hopfield model |
| Keyword(2) | unlearning |
| Keyword(3) | Hopfield sttractor |
| Keyword(4) | mixed state |
| 1st Author's Name | Haruka OTANI |
| 1st Author's Affiliation | Graduate School of Humanities and Sciences, Nara Women's University() |
| 2nd Author's Name | Midori YOSHIDA |
| 2nd Author's Affiliation | Graduate School of Humanities and Sciences, Nara Women's University |
| 3rd Author's Name | Tatsuya UEZU |
| 3rd Author's Affiliation | Graduate School of Humanities and Sciences, Nara Women's University |
| Date | 2012-01-26 |
| Paper # | NC2011-100 |
| Volume (vol) | vol.111 |
| Number (no) | 419 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |