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arXiv · 1406.1747

On some aspects of approximation of ridge functions

Anton Kolleck·Jan Vybiral
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Abstract

We present effective algorithms for uniform approximation of multivariate functions satisfying some prescribed inner structure. We extend in several directions the analysis of recovery of ridge functions $f(x)=g(\langle a,x\rangle)$ as performed earlier by one of the authors and his coauthors. We consider ridge functions defined on the unit cube $[-1,1]^d$ as well as recovery of ridge functions defined on the unit ball from noisy measurements. We conclude with the study of functions of the type $f(x)=g(\|a-x\|_{l_2^d}^2)$.

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Anton Kolleck, Jan Vybiral. 2014-06-06. On some aspects of approximation of ridge functions. https://arxiv.org/abs/1406.1747

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