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- W3028650051 abstract "In this paper we prove that if a multivariate function of a certain smoothness class is represented by a sum of k arbitrarily behaved ridge functions, then it can be represented by a sum of k ridge functions of the same smoothness class and a polynomial of degree at most k−1. This solves the problem posed by A. Pinkus in his monograph “Ridge Functions” up to a multivariate polynomial." @default.
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- W3028650051 date "2020-09-01" @default.
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- W3028650051 title "A representation problem for smooth sums of ridge functions" @default.
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- W3028650051 doi "https://doi.org/10.1016/j.jat.2020.105448" @default.
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