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Uniform Approximation by Neural Networks

โœ Scribed by Y. Makovoz

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
262 KB
Volume
95
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

Let D/R d be a compact set and let 8 be a uniformly bounded set of D ร„ 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) when D is a finite set and (2) when the set 8 is formed by the functions , v, b (x) :=s(v } x+b), where v # R d , b # R, and s is a fixed R ร„ R function.

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