| Presentation | 1998/10/24 SIMILARITY BETWEEN CHAOS AND SCHRODINGER EQUATION AND CALCULATION PRECISION OF PROBABILISTIC DENSITY DISTRIBUTION OF ORBIT IN HIERARCHICAL NEURAL NETWORK Mitsuo TAKASE, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is known that chaos is produced in brain and neural networks. Chaos can work functionally changing attractors, especially consistently with psychological mechanism. On the other hand, chaos behaves like quantum mechanics in neural network and it is known that chaos can be expressed by Schrodinger equation. I think about how we can make chaos in neural network correspond to Schrodinger equation and I also think about the meanings. When we analyze chaos through Schrodinger equation instead of attractor in dynamical system, we can treat not only the scaly and the shape of attractor, but also the probabilistic density function in the attractor. Especially an eigenvalue of loop connections with feedback, which depends on the slope of input-output function of excitatory cells and synapse conductivities in neural network, determines the precision of the probabilistic density distribution. In some cases where there is possibility for a part of brain to be able to monitor the precision of the probabilistic density distribution, the precision can become the valuable information of reliability to judge in the cases. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Schrodinger equation / chaos / probabilistic density distribution / neural network |
| Paper # | NC98-53 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 1998/10/24(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | SIMILARITY BETWEEN CHAOS AND SCHRODINGER EQUATION AND CALCULATION PRECISION OF PROBABILISTIC DENSITY DISTRIBUTION OF ORBIT IN HIERARCHICAL NEURAL NETWORK |
| Sub Title (in English) | |
| Keyword(1) | Schrodinger equation |
| Keyword(2) | chaos |
| Keyword(3) | probabilistic density distribution |
| Keyword(4) | neural network |
| 1st Author's Name | Mitsuo TAKASE |
| 1st Author's Affiliation | () |
| Date | 1998/10/24 |
| Paper # | NC98-53 |
| Volume (vol) | vol.98 |
| Number (no) | 365 |
| Page | pp.pp.- |
| #Pages | 4 |
| Date of Issue | |