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(L^p)Approximation of maps by diffeomorphisms

โœ Scribed by Yann Brenier; Wilfrid Gangbo


Publisher
Springer
Year
2003
Tongue
English
Weight
213 KB
Volume
16
Category
Article
ISSN
0944-2669

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On the approximate realization of contin
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