Neural networks for of continuous optimal approximation functions in R^d |
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| Authors: | Ting-fan Xie Xin-long Zhou |
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| Institution: | 1. Department of Mathematics, China Jiliang University, 310018, Hangzhou, China
2. Department of Mathematics, University of Duisburg-Essen, 47048, Duisburg, Germany
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| Abstract: | Using some regular matrices we present a method to express any multivariate algebraic polynomial of total order n in a normal form. Consequently, we prove constructively that, to approximate continuous target functions defined on some compact set of ? d , neural networks are at least as good as algebraic polynomials. |
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| Keywords: | approximation rate neural network ridge function sigmoidal function |
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