Abstract
Some schemes of the local approximation (LA) of functions defined on multidimensional space are described. For the simplest variants, namely, for the space filtration scheme and Nadraja-Watson scheme, the approximation precision is estimated. It is shown that ANN based on LA can solve the approximation problem with a good precision if the space dimension is moderate and some special elements are used.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barron, A.: I2SE Tr.,v.IT-39,930(1993)
Katkovnik, V.; Non-parametric identification and data smoothing: method of local approximation,M.: Naulca 1985
Bakhvalov, N.: Vestnik MGU, Matser., NO5,3,(I959)
Gurney,K.: Neural Networks,v. 5, 289 (1992)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag/Wien
About this paper
Cite this paper
Pervozvanskii, A.A. (1995). ANN Realizations of Local Approximations Schemes. In: Artificial Neural Nets and Genetic Algorithms. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7535-4_65
Download citation
DOI: https://doi.org/10.1007/978-3-7091-7535-4_65
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82692-8
Online ISBN: 978-3-7091-7535-4
eBook Packages: Springer Book Archive