3 papers
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…
cs.LG2025
ANOVA-boosting for Random Fourier Features
Daniel Potts, Laura Weidensager
We propose two algorithms for boosting random Fourier feature models for approximating high-dimensional functions. These methods utilize the classical and generalized analysis of v…