Approximation of a function and its derivative with a neural network
Cardaliaguet, Pierre; Euvrard, Guillaume (1992), Approximation of a function and its derivative with a neural network, Neural Networks, 5, 2, p. 207-220. http://dx.doi.org/10.1016/S0893-6080(05)80020-6
Type
Article accepté pour publication ou publiéDate
1992Journal name
Neural NetworksVolume
5Number
2Publisher
Elsevier
Pages
207-220
Publication identifier
Metadata
Show full item recordAbstract (EN)
This paper deals with the approximation of both a function and its derivative by feedforward neural networks. We propose an explicit formula of approximation which is noise resistant and can be easily modified with the patterns. We apply these results to approach a function defined implicitly, which is useful in control theory.Subjects / Keywords
Feedforward neural networks; Functions approximation; Interpolation; Bell-shaped functions; Squashing functions; Robustness with respect to noise; Implicit function; ControlRelated items
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