Approximation by radial bases and neural networks |
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Authors: | Xin Li Charles A. Micchelli |
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Affiliation: | (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 |
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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. |
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Keywords: | approximation radial basis functions neural networks |
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