Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling L Kämmerer, D Potts, T Volkmer Journal of Complexity 31 (4), 543-576, 2015 | 85 | 2015 |
Sparse high-dimensional FFT based on rank-1 lattice sampling D Potts, T Volkmer Applied and Computational Harmonic Analysis 41 (3), 713-748, 2016 | 63 | 2016 |
Worst-case recovery guarantees for least squares approximation using random samples L Kämmerer, T Ullrich, T Volkmer arXiv preprint arXiv:1911.10111, 2019 | 58 | 2019 |
Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness G Byrenheid, L Kämmerer, T Ullrich, T Volkmer Numerische Mathematik 136 (4), 993-1034, 2017 | 46 | 2017 |
Efficient spectral estimation by MUSIC and ESPRIT with application to sparse FFT D Potts, M Tasche, T Volkmer Frontiers in Applied Mathematics and Statistics 2, 1, 2016 | 37 | 2016 |
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices L Kämmerer, D Potts, T Volkmer Applied and Computational Harmonic Analysis 51, 225-257, 2021 | 34 | 2021 |
Approximation of multivariate periodic functions based on sampling along multiple rank-1 lattices L Kämmerer, T Volkmer Journal of Approximation Theory 246, 1-27, 2019 | 22 | 2019 |
NFFT meets Krylov methods: Fast matrix-vector products for the graph Laplacian of fully connected networks D Alfke, D Potts, M Stoll, T Volkmer Frontiers in Applied Mathematics and Statistics 4, 61, 2018 | 20 | 2018 |
Fast and exact reconstruction of arbitrary multivariate algebraic polynomials in Chebyshev form D Potts, T Volkmer 2015 International Conference on Sampling Theory and Applications (SampTA …, 2015 | 20 | 2015 |
Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form L Kämmerer, D Potts, T Volkmer Journal of Complexity 31 (3), 424-456, 2015 | 18 | 2015 |
Sparse Harmonic Transforms II: Best -Term Approximation Guarantees for Bounded Orthonormal Product Bases in Sublinear-Time B Choi, M Iwen, T Volkmer arXiv preprint arXiv:1909.09564, 2019 | 17 | 2019 |
Semi-supervised Learning for Multilayer Graphs Using Diffuse Interface Methods and Fast Matrix Vector Products K Bergermann, M Stoll, T Volkmer arXiv preprint arXiv:2007.05239, 2020 | 13* | 2020 |
Semi-supervised Learning for Aggregated Multilayer Graphs Using Diffuse Interface Methods and Fast Matrix Vector Products K Bergermann, M Stoll, T Volkmer arXiv preprint arXiv:2007.05239, 2020 | 12 | 2020 |
Multivariate sparse FFT based on rank-1 Chebyshev lattice sampling D Potts, T Volkmer 2017 International Conference on Sampling Theory and Applications (SampTA …, 2017 | 9 | 2017 |
A Deterministic Algorithm for Constructing Multiple Rank-1 Lattices of Near-Optimal Size C Gross, MA Iwen, L Kämmerer, T Volkmer arXiv preprint arXiv:2003.09753, 2020 | 8 | 2020 |
Computational methods for the Fourier analysis of sparse high-dimensional functions L Kämmerer, S Kunis, I Melzer, D Potts, T Volkmer Extraction of Quantifiable Information from Complex Systems, 347-363, 2014 | 8 | 2014 |
A sample efficient sparse FFT for arbitrary frequency candidate sets in high dimensions L Kämmerer, F Krahmer, T Volkmer arXiv preprint arXiv:2006.13053, 2020 | 7 | 2020 |
Sparse Fourier Transforms on Rank-1 Lattices for the Rapid and Low-Memory Approximation of Functions of Many Variables C Gross, M Iwen, L Kämmerer, T Volkmer arXiv preprint arXiv:2012.09889, 2020 | 5 | 2020 |
Taylor and rank-1 lattice based nonequispaced fast Fourier transform T Volkmer | 2 | 2013 |
OpenMP parallelization in the NFFT3 library version 3.2 T Volkmer | | 2012 |