Title
Dimension-independent bounds on the degree of approximation by neural networks
Abstract
Let φ be a univariate 2π-periodic function. Suppose that s ≥ 1 and f is a 2π-periodic function of s real variables. We study sufficient conditions in order that a neural network having a single hidden layer consisting of n neurons, each with an activation function φ, can be constructed so as to give a mean square approximation to f within a given accuracy ∈n, independent of the number of variables. We also discuss the case in which the activation function φ is not 2π-periodic.
Year
DOI
Venue
1994
10.1147/rd.383.0277
IBM Journal of Research and Development
Keywords
Field
DocType
neural network
Mean square,Discrete mathematics,Computer science,Activation function,Stochastic neural network,Electronic engineering,Univariate,Artificial neural network,Periodic graph (geometry)
Journal
Volume
Issue
ISSN
38
3
0018-8646
Citations 
PageRank 
References 
32
5.33
3
Authors
2
Name
Order
Citations
PageRank
Mhaskar, H.N.1325.33
charles a micchelli2477.73