| Presentation | 2003/10/16 The Path-Integral Analysis of Associative Memory Model Storing Infinite Number of Limit Cycles Kazushi MIMURA, Masaki KAWAMURA, Masato OKADA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We rigorously analysed an associative memory model storing an infinite number or limit cycles with l finite steps by using the path-integral method. We derived the stationary versions of the order parameter equations given by the path-integral analysis. Although the signal-to-noise analysis must assume that crosstalk noise of an input to spins obeys a Gaussian distribution, the stationary versions of the order parameter equations are equivalent to those of the signal-to-noise analysis. This means that the result of signal-to-noise analysis is an exact solution. We also obtained that the dependence of storage capacity (α_c) on the number of patterns per one limit cycle (l). At l = 1, storage capacity is α_c = 0.138 as well as Hopfield model. A storage capacity monotonously increases with the increase in the number of steps, and converges α_c = 0.269 at l ≃ 10. The original propoerties of the finite-step sequence processing model appear as long as the number of steps of a limit cycle has order l = O1). |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Associative Memory Model / limit Cycles / Path-Integral Method / Stationary State / Exact Solution |
| Paper # | PRMU2003-116,NC2003-47 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2003/10/16(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) | The Path-Integral Analysis of Associative Memory Model Storing Infinite Number of Limit Cycles |
| Sub Title (in English) | |
| Keyword(1) | Associative Memory Model |
| Keyword(2) | limit Cycles |
| Keyword(3) | Path-Integral Method |
| Keyword(4) | Stationary State |
| Keyword(5) | Exact Solution |
| 1st Author's Name | Kazushi MIMURA |
| 1st Author's Affiliation | Kobe City College of Technology() |
| 2nd Author's Name | Masaki KAWAMURA |
| 2nd Author's Affiliation | Faculty of Science, Yamaguchi University |
| 3rd Author's Name | Masato OKADA |
| 3rd Author's Affiliation | Laboratory for Mathematical Neuroscience, RIKEN Brain Science Institute, "Intelligent Cooperation and Control", PRESTO, JST |
| Date | 2003/10/16 |
| Paper # | PRMU2003-116,NC2003-47 |
| Volume (vol) | vol.103 |
| Number (no) | 391 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |