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On the tractability of multivariate integration and approximation by neural networks

✍ Scribed by H.N. Mhaskar


Book ID
108163743
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
376 KB
Volume
20
Category
Article
ISSN
0885-064X

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On the approximate realization of contin
✍ Ken-Ichi Funahashi πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 733 KB

In this paper, we prove that any continuous mapping can be approximately realized by Rumelhart-Hinton-Williams' multilayer neural networks with at least one hidden layer whose output functions are sigmoid functions. The starting point of the proof for the one hidden layer case is an integral formula