| Presentation | 2011-01-24 Pattern-recalling processes in a quantum-mechanical variant of the Hopfield model Jun-ichi INOUE, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | As a mathematical model of associative memories, the Hopfield model was well-established and a lot of studies to reveal the pattern-recalling process have been done by various different approaches. As well-known, a single neuron is itself an uncertain, noisy unit with a finite non-negligible error in the input-output relation. To model the situation, a kind of 'heat-bath' that surrounds the neurons is introduced. Several studies concerning the recalling processes of the Hopfield model governed by the Glauber-dynamics at the finite temperature were already reported. However, we might extend the 'thermal noise' to the quantum-mechanical variant. In this talk, in terms of the stochastic process of quantum-mechanical Markov chain Monte Carlo method (the quantum MCMC), we analytically derive macroscopically deterministic equations of order parameters such as 'overlap' in a quantum-mechanical variant of the Hopfield neural networks. For the case of non-extensive number of embedded patterns with asymmetric Hebbian connections, we evaluate the recalling processes for one of the built-in patterns under the influence of quantum-mechanical noise. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Associative memories / Hopfield model / Non-equilibrium phenomena / Asymmetric connections / Limitcycle / Quantum dynamics |
| Paper # | NLP2010-135,NC2010-99 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2011/1/17(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) | Pattern-recalling processes in a quantum-mechanical variant of the Hopfield model |
| Sub Title (in English) | |
| Keyword(1) | Associative memories |
| Keyword(2) | Hopfield model |
| Keyword(3) | Non-equilibrium phenomena |
| Keyword(4) | Asymmetric connections |
| Keyword(5) | Limitcycle |
| Keyword(6) | Quantum dynamics |
| 1st Author's Name | Jun-ichi INOUE |
| 1st Author's Affiliation | Graduate School of Information Science and Technology, Hokkaido University() |
| Date | 2011-01-24 |
| Paper # | NLP2010-135,NC2010-99 |
| Volume (vol) | vol.110 |
| Number (no) | 388 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |