| Presentation | 1994/6/17 On Constructive Function Approximation by Three-Layer Artificial Neural Networks and its Approximation Error Specification Shin Suzuki, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Function approximation is a key issue in evaluating the computational ability of multilayer artificial neural networks. Most previous studies showed only the existence of approximating networks by non-constructive methods,contributing almost nothing to the construction of approximating networks and the specification of the number of hidden-layer units and the approximation error.In this study,a three-layer artificial neural network with sigmoidal hidden-layer units approximating a 2π-perio dic pthorder Lebesgue integrable function on Rm to Rn is constructed,specifying the number of hidden-layer units and approximation error.This result can easily be applied to the approximation to pth-order Lebesgue integrable functions defined on a product set of bounded intervals in Rm to Rn.This study gives a new step to evaluate the computational ability of multilayer artificial neural networks. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | neural network / function approximation / Jackson′s theory / nu mber of hidden-layer units / error specification |
| Paper # | NLP94-27 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1994/6/17(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Chair | |
| Vice Chair | |
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| Paper Information | |
| 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) | On Constructive Function Approximation by Three-Layer Artificial Neural Networks and its Approximation Error Specification |
| Sub Title (in English) | |
| Keyword(1) | neural network |
| Keyword(2) | function approximation |
| Keyword(3) | Jackson′s theory |
| Keyword(4) | nu mber of hidden-layer units |
| Keyword(5) | error specification |
| 1st Author's Name | Shin Suzuki |
| 1st Author's Affiliation | Basic Research Laboratories,NTT() |
| Date | 1994/6/17 |
| Paper # | NLP94-27 |
| Volume (vol) | vol.94 |
| Number (no) | 98 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |