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math.NA2026
Approximating the Fourier Transform from Non-equispaced Discrete Samples
Daniel Potts, Laura Weidensager
We study the approximation of the Fourier transform of a function from finitely many samples. Departing from the equispaced setting, we sample the function at deterministic non-equ…
math.NA2026
Sensitivity Analysis on the Sphere and a Spherical ANOVA Decomposition
Laura Weidensager
We establish sensitivity analysis on the sphere. We present formulas that allow us to decompose a function into a sum of terms $f_{\bolds…
math.NA2024
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-…