| Presentation | 2010-03-11 A Calculation of Three Layer Neural Network Structures Approximating Polynomial Functions Yuichi NAKAMURA, Masahiro NAKAGAWA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The function approximation theorem has been proved such that the suitably constructed feedforward neural networks can sufficiently approximate given continuous functions. However, the specific structures of feed- forward networks approximating functions has not been treated in the function approximation theorem. In this report, a specific structure of three layer feedforward networks approximating polynomial functions is derived. The feedforward network has some system parameters. The structure of the feedforward network is determined by the parameters. The system parameters are systematically derived by the Taylor expansion of the activation function and by the matrix operation when the activation function is smooth. It can be expected that the three layer feedforward network structure obtained from the proposed method gives the effective information to learning algorithms of the neural networks. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Feed-forward neural network / Structure calculation / Function approximation / Polynomial |
| Paper # | NC2009-167 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2010/3/2(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) | A Calculation of Three Layer Neural Network Structures Approximating Polynomial Functions |
| Sub Title (in English) | |
| Keyword(1) | Feed-forward neural network |
| Keyword(2) | Structure calculation |
| Keyword(3) | Function approximation |
| Keyword(4) | Polynomial |
| 1st Author's Name | Yuichi NAKAMURA |
| 1st Author's Affiliation | Nagaoka University of Technology() |
| 2nd Author's Name | Masahiro NAKAGAWA |
| 2nd Author's Affiliation | Nagaoka University of Technology |
| Date | 2010-03-11 |
| Paper # | NC2009-167 |
| Volume (vol) | vol.109 |
| Number (no) | 461 |
| Page | pp.pp.- |
| #Pages | 6 |
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