| Presentation | 1993/6/19 An Algorithm for Representation of Nonseparable Function in Separable Kiyotaka Yamamura, Taiko Murayama, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper presents an algorithm that transforms nonseparable functions of several variables into separable forms by introducing auxiliary variables.A mapping f:R^n→ R^m is called separable if it can be written in the form f(x)= f^1(X_1)+ f^2(X_2)+ ・・・ + f^n(X_ n).Recently,many algorithms have been proposed that improves the computational efficiency substantially by exploiting the separability.The algorithm proposed in this paper extends the application field of these algorithms.It also gives a constructive method to the Hilbert′s 13th problem in the practical level. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | separability / nonliear function / computational graph / Hilbert′s 13th problem |
| Paper # | CAS93-51,NLP93-39 |
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| Conference Information | |
| Committee | CAS |
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| Conference Date | 1993/6/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Paper Information | |
| Registration To | Circuits and Systems (CAS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Algorithm for Representation of Nonseparable Function in Separable |
| Sub Title (in English) | |
| Keyword(1) | separability |
| Keyword(2) | nonliear function |
| Keyword(3) | computational graph |
| Keyword(4) | Hilbert′s 13th problem |
| 1st Author's Name | Kiyotaka Yamamura |
| 1st Author's Affiliation | Department of Computer Science,Faculty of Engineering,Gunma University() |
| 2nd Author's Name | Taiko Murayama |
| 2nd Author's Affiliation | Department of Computer Science,Faculty of Engineering,Gunma University |
| Date | 1993/6/19 |
| Paper # | CAS93-51,NLP93-39 |
| Volume (vol) | vol.93 |
| Number (no) | 102 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |