Daniel Potts

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 42

Top Topics

Error Estimates

Dimensional Data

Sampling Theorem

Top Venues

Frontiers Appl. Math. Stat.

Adv. Comput. Math.

Numerische Mathematik

Publications

Melanie Kircheis, Daniel Potts, Manfred Tasche
Optimal parameter choice for regularized Shannon sampling formulas. CoRR (2024)
Daniel Potts, Fabian Taubert
Operator learning based on sparse high-dimensional approximation. CoRR (2024)
Daniel Potts, Laura Weidensager
Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation. Adv. Comput. Math. 50 (3) (2024)
Kseniya Akhalaya, Franziska Nestler, Daniel Potts
Fast and interpretable Support Vector Classification based on the truncated ANOVA decomposition. CoRR (2024)
Daniel Potts, Laura Weidensager
ANOVA-boosting for Random Fourier Features. CoRR (2024)
Daniel Potts, Pascal Schröter
ANOVA approximation with mixed tensor product basis on scattered points. CoRR (2023)
Melanie Kircheis, Daniel Potts, Manfred Tasche
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms. Numer. Algorithms 92 (4) (2023)
Melanie Kircheis, Daniel Potts
Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform. Frontiers Appl. Math. Stat. 9 (2023)
Laura Lippert, Daniel Potts, Tino Ullrich
Fast hyperbolic wavelet regression meets ANOVA. Numerische Mathematik 154 (1-2) (2023)
Felix Bartel, Lutz Kämmerer, Daniel Potts, Tino Ullrich
On the reconstruction of functions from values at subsampled quadrature points. Math. Comput. 93 (346) (2023)
Melanie Kircheis, Daniel Potts
Optimal density compensation factors for the reconstruction of the Fourier transform of bandlimited functions. CoRR (2023)
Melanie Kircheis, Daniel Potts
Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform. CoRR (2023)
Melanie Kircheis, Daniel Potts, Manfred Tasche
On numerical realizations of Shannon's sampling theorem. CoRR (2023)
Lutz Kämmerer, Daniel Potts, Fabian Taubert
Nonlinear approximation in bounded orthonormal product bases. CoRR (2022)
Daniel Potts, Michael Schmischke
Learning multivariate functions with low-dimensional structures using polynomial bases. J. Comput. Appl. Math. 403 (2022)
Laura Lippert, Daniel Potts
Variable Transformations in combination with Wavelets and ANOVA for high-dimensional approximation. CoRR (2022)
Felix Bartel, Lutz Kämmerer, Daniel Potts, Tino Ullrich
On the reconstruction of functions from values at subsampled quadrature points. CoRR (2022)
Melanie Kircheis, Daniel Potts, Manfred Tasche
On regularized Shannon sampling formulas with localized sampling. CoRR (2022)
Felix Bartel, Daniel Potts, Michael Schmischke
Grouped Transformations and Regularization in High-Dimensional Explainable ANOVA Approximation. SIAM J. Sci. Comput. 44 (1) (2022)
Daniel Potts, Michael Schmischke
Interpretable Transformed ANOVA Approximation on the Example of the Prevention of Forest Fires. Frontiers Appl. Math. Stat. 8 (2022)
Robert Nasdala, Daniel Potts
Efficient multivariate approximation on the cube. Numerische Mathematik 147 (2) (2021)
Daniel Potts, Manfred Tasche
Continuous window functions for NFFT. Adv. Comput. Math. 47 (4) (2021)
Melanie Kircheis, Daniel Potts, Manfred Tasche
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms. CoRR (2021)
Laura Lippert, Daniel Potts, Tino Ullrich
Fast Hyperbolic Wavelet Regression meets ANOVA. CoRR (2021)
Daniel Potts, Michael Schmischke
Interpretable Approximation of High-Dimensional Data. SIAM J. Math. Data Sci. 3 (4) (2021)
Robert Nasdala, Daniel Potts
A note on transformed Fourier systems for the approximation of non-periodic signals. CoRR (2021)
Daniel Potts, Michael Schmischke
Approximation of High-Dimensional Periodic Functions with Fourier-Based Methods. SIAM J. Numer. Anal. 59 (5) (2021)
Daniel Potts, Michael Schmischke
Interpretable Approximation of High-Dimensional Data. CoRR (2021)
Daniel Potts, Michael Schmischke
Interpretable transformed ANOVA approximation on the example of the prevention of forest fires. CoRR (2021)
Lutz Kämmerer, Daniel Potts, Fabian Taubert
The uniform sparse FFT with application to PDEs with random coefficients. CoRR (2021)
Felix Bartel, Daniel Potts, Michael Schmischke
Grouped Transformations in High-Dimensional Explainable ANOVA Approximation. CoRR (2020)
Robert Nasdala, Daniel Potts
A Note on Transformed Fourier Systems for the Approximation of Non-periodic Signals. MCQMC (2020)
Maximilian Bochmann, Lutz Kämmerer, Daniel Potts
A sparse FFT approach for ODE with random coefficients. Adv. Comput. Math. 46 (4) (2020)
Daniel Potts, Manfred Tasche
Continuous window functions for NFFT. CoRR (2020)
Daniel Potts, Manfred Tasche
Uniform error estimates for the NFFT. CoRR (2019)
Daniel Potts, Michael Schmischke
Learning multivariate functions with low-dimensional structures using polynomial bases. CoRR (2019)
Daniel Potts, Michael Schmischke
Learning high-dimensional additive models on the torus. CoRR (2019)
Robert Nasdala, Daniel Potts
Efficient multivariate approximation on the cube. CoRR (2019)
Rudolf Weeber, Franziska Nestler, Florian Weik, Michael Pippig, Daniel Potts, Christian Holm
NFFT method. J. Comput. Phys. 391 (2019)
Dominik Alfke, Daniel Potts, Martin Stoll, Toni Volkmer
NFFT meets Krylov methods: Fast matrix-vector products for the graph Laplacian of fully connected networks. CoRR (2018)
Dominik Alfke, Daniel Potts, Martin Stoll, Toni Volkmer
NFFT Meets Krylov Methods: Fast Matrix-Vector Products for the Graph Laplacian of Fully Connected Networks. Frontiers Appl. Math. Stat. 4 (2018)
Daniel Potts, Manfred Tasche, Toni Volkmer
Efficient Spectral Estimation by MUSIC and ESPRIT with Application to Sparse FFT. Frontiers Appl. Math. Stat. 2 (2016)
Lutz Kämmerer, Daniel Potts, Toni Volkmer
Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling. J. Complex. 31 (4) (2015)
Franziska Nestler, Michael Pippig, Daniel Potts
Fast Ewald summation based on NFFT with mixed periodicity. J. Comput. Phys. 285 (2015)
Lutz Kämmerer, Daniel Potts, Toni Volkmer
Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form. J. Complex. 31 (3) (2015)
Michael Pippig, Daniel Potts
Parallel Three-Dimensional Nonequispaced Fast Fourier Transforms and Their Application to Particle Simulation. SIAM J. Sci. Comput. 35 (4) (2013)
Manuel Gräf, Daniel Potts, Gabriele Steidl
Quadrature Errors, Discrepancies, and Their Relations to Halftoning on the Torus and the Sphere. SIAM J. Sci. Comput. 34 (5) (2012)
Lutz Kämmerer, Stefan Kunis, Daniel Potts
Interpolation lattices for hyperbolic cross trigonometric polynomials. J. Complex. 28 (1) (2012)
Thomas Peter, Daniel Potts, Manfred Tasche
Nonlinear Approximation by Sums of Exponentials and Translates. SIAM J. Sci. Comput. 33 (4) (2011)
Manuel Gräf, Daniel Potts, Gabriele Steidl
Quadrature Nodes Meet Stippling Dots. SSVM (2011)
Rainer Backofen, Manuel Gräf, Daniel Potts, Simon Praetorius, Axel Voigt, Thomas Witkowski
. Multiscale Model. Simul. 9 (1) (2011)
Manuel Gräf, Daniel Potts
On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms. Numerische Mathematik 119 (4) (2011)
Daniel Potts, Manfred Tasche
Parameter estimation for exponential sums by approximate Prony method. Signal Process. 90 (5) (2010)
Michael Döhler, Stefan Kunis, Daniel Potts
Nonequispaced Hyperbolic Cross Fast Fourier Transform. SIAM J. Numer. Anal. 47 (6) (2010)
Jens Keiner, Stefan Kunis, Daniel Potts
Using NFFT 3 - A Software Library for Various Nonequispaced Fast Fourier Transforms. ACM Trans. Math. Softw. 36 (4) (2009)
Albrecht Böttcher, Stefan Kunis, Daniel Potts
Probabilistic spherical Marcinkiewicz-Zygmund inequalities. J. Approx. Theory 157 (2) (2009)
Daniel Potts, Jürgen Prestin, Antje Vollrath
A fast algorithm for nonequispaced Fourier transforms on the rotation group. Numer. Algorithms 52 (3) (2009)
Jens Keiner, Daniel Potts
Fast evaluation of quadrature formulae on the sphere. Math. Comput. 77 (261) (2008)
Stefan Kunis, Daniel Potts
Stability Results for Scattered Data Interpolation by Trigonometric Polynomials. SIAM J. Sci. Comput. 29 (4) (2007)
Tobias Knopp, Stefan Kunis, Daniel Potts
A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data. Int. J. Biomed. Imaging 2007 (2007)
Holger Eggers, Tobias Knopp, Daniel Potts
Field Inhomogeneity Correction Based on Gridding Reconstruction for Magnetic Resonance Imaging. IEEE Trans. Medical Imaging 26 (3) (2007)
Markus Fenn, Stefan Kunis, Daniel Potts
Fast evaluation of trigonometric polynomials from hyperbolic crosses. Numer. Algorithms 41 (4) (2006)
Stefan Kunis, Daniel Potts, Gabriele Steidl
Fast Gauss transforms with complex parameters using NFFTs. J. Num. Math. 14 (4) (2006)
Jens Keiner, Stefan Kunis, Daniel Potts
Fast Summation of Radial Functions on the Sphere. Computing 78 (1) (2006)
Daniel Potts, Ihor Kuz
Adapting Distributed Shared Memory Applications in Diverse Environments. CCGRID (2006)
Markus Fenn, Daniel Potts
Fast summation based on fast trigonometric transforms at non-equispaced nodes. Numer. Linear Algebra Appl. 12 (2-3) (2005)
Ben Leslie, Peter Chubb, Nicholas Fitzroy-Dale, Stefan Götz, Charles Gray, Luke Macpherson, Daniel Potts, Yue-Ting Shen, Kevin Elphinstone, Gernot Heiser
User-Level Device Drivers: Achieved Performance. J. Comput. Sci. Technol. 20 (5) (2005)
Stefan Heldmann, Oliver Mahnke, Daniel Potts, Jan Modersitzki, Bernd Fischer
Fast Computation of Mutual Information in a Variational Image Registration Approach. Bildverarbeitung für die Medizin (2004)
Daniel Potts, Gabriele Steidl, Arthur Nieslony
Fast convolution with radial kernels at nonequispaced knots. Numerische Mathematik 98 (2) (2004)
Daniel Potts
Approximation of Scattered Data by Trigonometric Polynomials on the Torus and the 2-sphere. Adv. Comput. Math. 21 (1-2) (2004)
Daniel Potts, Gabriele Steidl
Fast Summation at Nonequispaced Knots by NFFT. SIAM J. Sci. Comput. 24 (6) (2003)
Michael K. Ng, Daniel Potts
Fast Iterative Methods for Sinc Systems. SIAM J. Matrix Anal. Appl. 24 (2) (2002)
Raymond H. Chan, Daniel Potts, Gabriele Steidl
Preconditioners for Nondefinite Hermitian Toeplitz Systems. SIAM J. Matrix Anal. Appl. 22 (3) (2001)
Raymond H. Chan, Daniel Potts, Gabriele Steidl
Preconditioners for non-Hermitian Toeplitz systems. Numer. Linear Algebra Appl. 8 (2) (2001)
Daniel Potts, Gabriele Steidl
Preconditioners for Ill-Conditioned Toeplitz Systems Constructed from Positive Kernels. SIAM J. Sci. Comput. 22 (5) (2001)
Daniel Potts, Gabriele Steidl, Manfred Tasche
Fast algorithms for discrete polynomial transforms. Math. Comput. 67 (224) (1998)