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Approximation by radial bases and neural networks
Authors:Xin Li  Charles A Micchelli
Institution:(1) Department of Mathematical Sciences, University of Nevada, Las Vegas, NV 89154-4020, USA;(2) Department of Mathematics and Statistics, State University of New York, The University at Albany, Albany, NY 12222, USA
Abstract:In this paper, we study approximation by radial basis functions including Gaussian, multiquadric, and thin plate spline functions, and derive order of approximation under certain conditions. Moreover, neural networks are also constructed by wavelet recovery formula and wavelet frames.
Keywords:approximation  radial basis functions  neural networks
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