| Presentation | 2006-12-13 A comparison between correlation learning and pseudo-relaxation learning for a complex-valued bidirectional associative model Ryuuichi SASAKI, Masaharu ADACHI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Bidirectional associative memories have been proposed by Kosko. Kosko's model consists of two layers of neurons with synaptic connections between layers. In the original model, the synaptic weight connections are determined by a correlation matrix of the stored patterns. However, when the training pattern vectors are not orthogonal, cross-talk noise may occur in the system. To solve such problem, Oh.et.al. have been proposed Pseudo-relaxation learning algorithm for BAM (PRLAB) which uses projection method. PRLAB dose not require orthgonality or any special encoding of the training pairs and extremely increase the storage capacity. We extend the real number PRLAB algorithm to complex number. In the case that the complex-valued BAM trained by the extended PRLAB, we show that the storage capacity is increased as the same as in the real number PRLAB. Moreover, it is also shown that when the complex-valued BAM fails to store the patterns to have high storage capacity, the time series of directional cosine during the training shows non-periodic oscillation. An estimation of Lyapunov exponents of the time series suggests that such an oscillation may be deterministic chaos. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | bidirectional associative memory / complex-valued neural network / correlation learning / Pseudo-relaxation learning algorithm for BAM (PRLAB) |
| Paper # | NLP2006-93 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2006/12/6(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A comparison between correlation learning and pseudo-relaxation learning for a complex-valued bidirectional associative model |
| Sub Title (in English) | |
| Keyword(1) | bidirectional associative memory |
| Keyword(2) | complex-valued neural network |
| Keyword(3) | correlation learning |
| Keyword(4) | Pseudo-relaxation learning algorithm for BAM (PRLAB) |
| 1st Author's Name | Ryuuichi SASAKI |
| 1st Author's Affiliation | Department of Electronic Engineering, Graduate School of Engineering, Tokyo Denki University() |
| 2nd Author's Name | Masaharu ADACHI |
| 2nd Author's Affiliation | Department of Electronic Engineering, Graduate School of Engineering, Tokyo Denki University |
| Date | 2006-12-13 |
| Paper # | NLP2006-93 |
| Volume (vol) | vol.106 |
| Number (no) | 413 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |