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Approximation by Ridge Functions and Neural Networks

✍ Scribed by Petrushev, Pencho P.

Book ID
118200224
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
600 KB
Volume
30
Category
Article
ISSN
0036-1410

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Uniform Approximation by Neural Networks
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Let D/R d be a compact set and let 8 be a uniformly bounded set of D Γ„ R functions. For a given real-valued function f defined on D and a given natural number n, we are looking for a good uniform approximation to f of the form n i=1 a i , i , with , i # 8, a i # R. Two main cases are considered: (1)