33 citations · 157 across the 27 of their papers we have counts for
4 papers · 2 filters
Nonlinear approximation in bounded orthonormal product bases
Lutz Kämmerer, Daniel Potts, Fabian Taubert
We present a dimension-incremental algorithm for the nonlinear approximation of high-dimensional functions in an arbitrary bounded orthonormal product basis. Our goal is to detect…
On the reconstruction of functions from values at subsampled quadrature points
Felix Bartel, Lutz Kämmerer, Daniel Potts +1
This paper is concerned with function reconstruction from samples. The sampling points used in several approaches are (1) structured points connected with fast algorithms or (2) un…
Variable Transformations in combination with Wavelets and ANOVA for high-dimensional approximation
Daniel Potts, Laura Weidensager
We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low dimensional variable interactions. Compactly supported periodic Chui-…
On regularized Shannon sampling formulas with localized sampling
Melanie Kircheis, Daniel Potts, Manfred Tasche
In this paper we present new regularized Shannon sampling formulas which use localized sampling with special window functions, namely Gaussian, B-spline, and sinh-type window funct…