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On the approximation of time one maps of Anosov flows by Axiom A diffeomorphisms

โœ Scribed by Nancy Guelman

Publisher
Springer
Year
2002
Tongue
English
Weight
164 KB
Volume
33
Category
Article
ISSN
1678-7714

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On the approximate realization of contin
On the approximate realization of continuous mappings by neural networks
โœ Ken-Ichi Funahashi ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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