Article ID Journal Published Year Pages File Type
4624601 Advances in Applied Mathematics 2016 16 Pages PDF
Abstract

In this paper we prove that if a function of a certain smoothness class is represented by a sum of r arbitrarily behaved ridge functions, then, under suitable conditions, it can be represented by a sum of ridge functions of the same smoothness class and some polynomial of a certain degree.

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Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
On a smoothness problem in ridge function representation
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