Software
Nonlinear approximation in bounded orthonormal product bases (NABOPB)
The Python implementation of a dimension-incremental algorithm used for sparse function approximation based on rank-1 lattice sampling. The repository also includes the application of this method to (discrete) operator learning of differential equations.For further details, please read
- Lutz Kämmerer, Daniel Potts und Fabian Taubert.
Nonlinear approximation in bounded orthonormal product bases.
Sampling Theory, Signal Processing, and Data Analysis, 21, Article number: 19, 2023.
[ pdf ]
- Daniel Potts und Fabian Taubert.
An approach to discrete operator learning based on sparse high-dimensional approximation.
arXiv preprint, 2025.
[ pdf ]
GitHub
uniform sparse FFT (usFFT)
A collection of MATLAB routines for computing the uniform sparse fast Fourier transform based on random rank-1 lattices in a dimension incremental way.For further details, please read
- Lutz Kämmerer, Daniel Potts und Fabian Taubert.
The uniform sparse FFT with application to PDEs with random coefficients.
Sampling Theory, Signal Processing, and Data Analysis, 20, Article number: 19, 2022.
[ pdf ]
uniformSFFT-0.1.0