3 citations · 3 across the 1 of their papers we have counts for
7 papers · 1 filter
Fast Hyperbolic Wavelet Regression meets ANOVA
Laura Lippert, Daniel Potts, Tino Ullrich
We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low dimensional variable interactions. Compactly supported periodic Chui-…
A note on transformed Fourier systems for the approximation of non-periodic signals
Robert Nasdala, Daniel Potts
A variety of techniques have been developed for the approximation of non-periodic functions. In particular, there are approximation techniques based on rank- lattices and transf…
Grouped Transformations and Regularization in High-Dimensional Explainable ANOVA Approximation
Felix Bartel, Daniel Potts, Michael Schmischke
In this paper we propose a tool for high-dimensional approximation based on trigonometric polynomials where we allow only low-dimensional interactions of variables. In a general hi…
Continuous window functions for NFFT
Daniel Potts, Manfred Tasche
In this paper, we study the error behavior of the nonequispaced fast Fourier transform (NFFT). This approximate algorithm is mainly based on the convenient choice of a compactly su…
Efficient multivariate approximation on the cube
Robert Nasdala, Daniel Potts
We combine a periodization strategy for weighted -integrands with efficient approximation methods in order to approximate multivariate non-periodic functions on the high-dim…
A sparse FFT approach for ODE with random coefficients
Maximilian Bochmann, Lutz Kämmerer, Daniel Potts
The paper presents a general strategy to solve ordinary differential equations (ODE), where some coefficient depend on the spatial variable and on additional random variables. The…