Publication at Faculty of Mathematics and Physics |
2015
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 () 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 (parallel to a - x parallel to(2)(l2d)).