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2020 – today
- 2024
[j47]Daniel Potts
, Laura Weidensager:
Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation. Adv. Comput. Math. 50(3): 53 (2024)- [i25]Kseniya Akhalaya, Franziska Nestler, Daniel Potts:
Fast and interpretable Support Vector Classification based on the truncated ANOVA decomposition. CoRR abs/2402.02438 (2024) - [i24]Daniel Potts, Laura Weidensager:
ANOVA-boosting for Random Fourier Features. CoRR abs/2404.03050 (2024) - [i23]Daniel Potts, Fabian Taubert:
Operator learning based on sparse high-dimensional approximation. CoRR abs/2406.03973 (2024) - [i22]Melanie Kircheis, Daniel Potts, Manfred Tasche:
Optimal parameter choice for regularized Shannon sampling formulas. CoRR abs/2407.16401 (2024) - 2023
- [j46]Melanie Kircheis, Daniel Potts:
Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform. Frontiers Appl. Math. Stat. 9 (2023) - [j45]Felix Bartel, Lutz Kämmerer, Daniel Potts, Tino Ullrich:
On the reconstruction of functions from values at subsampled quadrature points. Math. Comput. 93(346): 785-809 (2023) - [j44]Melanie Kircheis, Daniel Potts, Manfred Tasche:
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms. Numer. Algorithms 92(4): 2307-2339 (2023) - [j43]Laura Lippert, Daniel Potts, Tino Ullrich:
Fast hyperbolic wavelet regression meets ANOVA. Numerische Mathematik 154(1-2): 155-207 (2023) - [i21]Melanie Kircheis, Daniel Potts:
Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform. CoRR abs/2302.00414 (2023) - [i20]Melanie Kircheis, Daniel Potts:
Optimal density compensation factors for the reconstruction of the Fourier transform of bandlimited functions. CoRR abs/2304.00094 (2023) - [i19]Daniel Potts, Pascal Schröter:
ANOVA approximation with mixed tensor product basis on scattered points. CoRR abs/2306.09174 (2023) - [i18]Melanie Kircheis, Daniel Potts, Manfred Tasche:
On numerical realizations of Shannon's sampling theorem. CoRR abs/2306.17594 (2023) - 2022
- [j42]Daniel Potts, Michael Schmischke:
Interpretable Transformed ANOVA Approximation on the Example of the Prevention of Forest Fires. Frontiers Appl. Math. Stat. 8: 795250 (2022) - [j41]Daniel Potts, Michael Schmischke:
Learning multivariate functions with low-dimensional structures using polynomial bases. J. Comput. Appl. Math. 403: 113821 (2022) - [j40]Felix Bartel, Daniel Potts, Michael Schmischke:
Grouped Transformations and Regularization in High-Dimensional Explainable ANOVA Approximation. SIAM J. Sci. Comput. 44(1): 1606- (2022) - [i17]Melanie Kircheis, Daniel Potts, Manfred Tasche:
On regularized Shannon sampling formulas with localized sampling. CoRR abs/2203.09973 (2022) - [i16]Laura Lippert, Daniel Potts:
Variable Transformations in combination with Wavelets and ANOVA for high-dimensional approximation. CoRR abs/2207.12826 (2022) - [i15]Felix Bartel, Lutz Kämmerer, Daniel Potts, Tino Ullrich:
On the reconstruction of functions from values at subsampled quadrature points. CoRR abs/2208.13597 (2022) - [i14]Lutz Kämmerer, Daniel Potts, Fabian Taubert:
Nonlinear approximation in bounded orthonormal product bases. CoRR abs/2211.06071 (2022) - 2021
- [j39]Daniel Potts, Manfred Tasche:
Continuous window functions for NFFT. Adv. Comput. Math. 47(4): 53 (2021) - [j38]Robert Nasdala, Daniel Potts:
Efficient multivariate approximation on the cube. Numerische Mathematik 147(2): 393-429 (2021) - [j37]Daniel Potts, Michael Schmischke:
Approximation of High-Dimensional Periodic Functions with Fourier-Based Methods. SIAM J. Numer. Anal. 59(5): 2393-2429 (2021) - [j36]Daniel Potts, Michael Schmischke:
Interpretable Approximation of High-Dimensional Data. SIAM J. Math. Data Sci. 3(4): 1301-1323 (2021) - [i13]Robert Nasdala, Daniel Potts:
A note on transformed Fourier systems for the approximation of non-periodic signals. CoRR abs/2102.00717 (2021) - [i12]Daniel Potts, Michael Schmischke:
Interpretable Approximation of High-Dimensional Data. CoRR abs/2103.13787 (2021) - [i11]Melanie Kircheis, Daniel Potts, Manfred Tasche:
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms. CoRR abs/2107.02671 (2021) - [i10]Laura Lippert, Daniel Potts, Tino Ullrich:
Fast Hyperbolic Wavelet Regression meets ANOVA. CoRR abs/2108.13197 (2021) - [i9]Lutz Kämmerer, Daniel Potts, Fabian Taubert:
The uniform sparse FFT with application to PDEs with random coefficients. CoRR abs/2109.04131 (2021) - [i8]Daniel Potts, Michael Schmischke:
Interpretable transformed ANOVA approximation on the example of the prevention of forest fires. CoRR abs/2110.07353 (2021) - 2020
- [j35]Maximilian Bochmann, Lutz Kämmerer, Daniel Potts:
A sparse FFT approach for ODE with random coefficients. Adv. Comput. Math. 46(4): 65 (2020) - [c4]Robert Nasdala, Daniel Potts:
A Note on Transformed Fourier Systems for the Approximation of Non-periodic Signals. MCQMC 2020: 253-271 - [i7]Daniel Potts, Manfred Tasche:
Continuous window functions for NFFT. CoRR abs/2010.06894 (2020) - [i6]Felix Bartel, Daniel Potts, Michael Schmischke:
Grouped Transformations in High-Dimensional Explainable ANOVA Approximation. CoRR abs/2010.10199 (2020)
2010 – 2019
- 2019
- [j34]Rudolf Weeber, Franziska Nestler, Florian Weik, Michael Pippig, Daniel Potts, Christian Holm:
Accelerating the calculation of dipolar interactions in particle based simulations with open boundary conditions by means of the P2NFFT method. J. Comput. Phys. 391: 243-258 (2019) - [i5]Daniel Potts, Michael Schmischke:
Learning high-dimensional additive models on the torus. CoRR abs/1907.11412 (2019) - [i4]Robert Nasdala, Daniel Potts:
Efficient multivariate approximation on the cube. CoRR abs/1912.03090 (2019) - [i3]Daniel Potts, Michael Schmischke:
Learning multivariate functions with low-dimensional structures using polynomial bases. CoRR abs/1912.03195 (2019) - [i2]Daniel Potts, Manfred Tasche:
Uniform error estimates for the NFFT. CoRR abs/1912.09746 (2019) - 2018
- [j33]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: 61 (2018) - [i1]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 abs/1808.04580 (2018) - 2016
- [j32]Daniel Potts, Manfred Tasche, Toni Volkmer:
Efficient Spectral Estimation by MUSIC and ESPRIT with Application to Sparse FFT. Frontiers Appl. Math. Stat. 2: 1 (2016) - 2015
- [j31]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): 424-456 (2015) - [j30]Lutz Kämmerer, Daniel Potts, Toni Volkmer:
Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling. J. Complex. 31(4): 543-576 (2015) - [j29]Franziska Nestler, Michael Pippig, Daniel Potts:
Fast Ewald summation based on NFFT with mixed periodicity. J. Comput. Phys. 285: 280-315 (2015) - 2013
- [j28]Michael Pippig, Daniel Potts:
Parallel Three-Dimensional Nonequispaced Fast Fourier Transforms and Their Application to Particle Simulation. SIAM J. Sci. Comput. 35(4) (2013) - 2012
- [j27]Lutz Kämmerer, Stefan Kunis, Daniel Potts:
Interpolation lattices for hyperbolic cross trigonometric polynomials. J. Complex. 28(1): 76-92 (2012) - [j26]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) - 2011
- [j25]Rainer Backofen, Manuel Gräf, Daniel Potts, Simon Praetorius, Axel Voigt, Thomas Witkowski:
A Continuous Approach to Discrete Ordering on S2. Multiscale Model. Simul. 9(1): 314-334 (2011) - [j24]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): 699-724 (2011) - [j23]Thomas Peter, Daniel Potts, Manfred Tasche:
Nonlinear Approximation by Sums of Exponentials and Translates. SIAM J. Sci. Comput. 33(4): 1920-1947 (2011) - [c3]Manuel Gräf, Daniel Potts, Gabriele Steidl:
Quadrature Nodes Meet Stippling Dots. SSVM 2011: 568-579 - 2010
- [j22]Michael Döhler, Stefan Kunis, Daniel Potts:
Nonequispaced Hyperbolic Cross Fast Fourier Transform. SIAM J. Numer. Anal. 47(6): 4415-4428 (2010) - [j21]Daniel Potts, Manfred Tasche:
Parameter estimation for exponential sums by approximate Prony method. Signal Process. 90(5): 1631-1642 (2010)
2000 – 2009
- 2009
- [j20]Albrecht Böttcher, Stefan Kunis, Daniel Potts:
Probabilistic spherical Marcinkiewicz-Zygmund inequalities. J. Approx. Theory 157(2): 113-126 (2009) - [j19]Daniel Potts, Jürgen Prestin, Antje Vollrath:
A fast algorithm for nonequispaced Fourier transforms on the rotation group. Numer. Algorithms 52(3): 355-384 (2009) - [j18]Jens Keiner, Stefan Kunis, Daniel Potts:
Using NFFT 3 - A Software Library for Various Nonequispaced Fast Fourier Transforms. ACM Trans. Math. Softw. 36(4): 19:1-19:30 (2009) - 2008
- [j17]Jens Keiner, Daniel Potts:
Fast evaluation of quadrature formulae on the sphere. Math. Comput. 77(261): 397-419 (2008) - 2007
- [j16]Tobias Knopp, Stefan Kunis, Daniel Potts:
A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data. Int. J. Biomed. Imaging 2007: 24727:1-24727:9 (2007) - [j15]Stefan Kunis, Daniel Potts:
Stability Results for Scattered Data Interpolation by Trigonometric Polynomials. SIAM J. Sci. Comput. 29(4): 1403-1419 (2007) - [j14]Holger Eggers, Tobias Knopp, Daniel Potts:
Field Inhomogeneity Correction Based on Gridding Reconstruction for Magnetic Resonance Imaging. IEEE Trans. Medical Imaging 26(3): 374-384 (2007) - 2006
- [j13]Jens Keiner, Stefan Kunis, Daniel Potts:
Fast Summation of Radial Functions on the Sphere. Computing 78(1): 1-15 (2006) - [j12]Stefan Kunis, Daniel Potts, Gabriele Steidl:
Fast Gauss transforms with complex parameters using NFFTs. J. Num. Math. 14(4): 295-303 (2006) - [j11]Markus Fenn, Stefan Kunis, Daniel Potts:
Fast evaluation of trigonometric polynomials from hyperbolic crosses. Numer. Algorithms 41(4): 339-352 (2006) - [c2]Daniel Potts, Ihor Kuz:
Adapting Distributed Shared Memory Applications in Diverse Environments. CCGRID 2006: 18 - 2005
- [j10]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): 654-664 (2005) - [j9]Markus Fenn, Daniel Potts:
Fast summation based on fast trigonometric transforms at non-equispaced nodes. Numer. Linear Algebra Appl. 12(2-3): 161-169 (2005) - 2004
- [j8]Daniel Potts:
Approximation of Scattered Data by Trigonometric Polynomials on the Torus and the 2-sphere. Adv. Comput. Math. 21(1-2): 21-36 (2004) - [j7]Daniel Potts, Gabriele Steidl, Arthur Nieslony:
Fast convolution with radial kernels at nonequispaced knots. Numerische Mathematik 98(2): 329-351 (2004) - [c1]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: 448-452 - 2003
- [j6]Daniel Potts, Gabriele Steidl:
Fast Summation at Nonequispaced Knots by NFFT. SIAM J. Sci. Comput. 24(6): 2013-2037 (2003) - 2002
- [j5]Michael K. Ng, Daniel Potts:
Fast Iterative Methods for Sinc Systems. SIAM J. Matrix Anal. Appl. 24(2): 581-598 (2002) - 2001
- [j4]Raymond H. Chan, Daniel Potts, Gabriele Steidl:
Preconditioners for non-Hermitian Toeplitz systems. Numer. Linear Algebra Appl. 8(2): 83-98 (2001) - [j3]Raymond H. Chan, Daniel Potts, Gabriele Steidl:
Preconditioners for Nondefinite Hermitian Toeplitz Systems. SIAM J. Matrix Anal. Appl. 22(3): 647-665 (2001) - [j2]Daniel Potts, Gabriele Steidl:
Preconditioners for Ill-Conditioned Toeplitz Systems Constructed from Positive Kernels. SIAM J. Sci. Comput. 22(5): 1741-1761 (2001)
1990 – 1999
- 1998
- [j1]Daniel Potts, Gabriele Steidl, Manfred Tasche:
Fast algorithms for discrete polynomial transforms. Math. Comput. 67(224): 1577-1590 (1998)
Coauthor Index
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