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Christian Rieger
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2020 – today
- 2024
- [j12]Christian Rieger, Holger Wendland
:
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions. SIAM J. Numer. Anal. 62(2): 842-871 (2024) - 2023
- [i7]Thomas Hangelbroek, Christian Rieger:
Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms. CoRR abs/2302.07306 (2023) - [i6]Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward:
Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres. CoRR abs/2302.08470 (2023) - [i5]Thomas Hangelbroek, Christian Rieger:
Kernel Multi-Grid on Manifolds. CoRR abs/2302.13039 (2023) - [i4]Thomas Hangelbroek, Christian Rieger, Grady B. Wright:
Spectral stability and perturbation results for kernel differentiation matrices on the sphere. CoRR abs/2311.06982 (2023) - 2021
- [j11]Matthias Kirchhart
Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing. SIAM J. Sci. Comput. 43(1): A609-A635 (2021) - [i3]Michael Griebel, Guanglian Li, Christian Rieger:
On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR abs/2112.02526 (2021)
2010 – 2019
- 2019
- [j10]Bastian Bohn, Christian Rieger, Michael Griebel:
A Representer Theorem for Deep Kernel Learning. J. Mach. Learn. Res. 20: 64:1-64:32 (2019) - [i2]Matthias Kirchhart, Christian Rieger:
A Particle Method without Remeshing. CoRR abs/1909.07449 (2019) - 2018
- [j9]Michael Griebel, Christian Rieger, Barbara Zwicknagl:
Regularized Kernel-Based Reconstruction in Generalized Besov Spaces. Found. Comput. Math. 18(2): 459-508 (2018) - [j8]Dinh Dung
ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. J. Complex. 46: 66-89 (2018) - [j7]Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward:
An inverse theorem for compact Lipschitz regions in ℝd using localized kernel bases. Math. Comput. 87(312): 1949-1989 (2018) - 2017
- [j6]Michael Griebel, Christian Rieger:
Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations. SIAM/ASA J. Uncertain. Quantification 5(1): 111-137 (2017) - [j5]Christian Rieger, Holger Wendland
Sampling inequalities for sparse grids. Numerische Mathematik 136(2): 439-466 (2017) - [i1]Bastian Bohn, Michael Griebel, Christian Rieger:
A representer theorem for deep kernel learning. CoRR abs/1709.10441 (2017) - 2015
- [j4]Michael Griebel, Christian Rieger, Barbara Zwicknagl:
Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. SIAM J. Numer. Anal. 53(2): 852-873 (2015) - 2010
- [j3]Christian Rieger, Barbara Zwicknagl:
Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning. Adv. Comput. Math. 32(1): 103-129 (2010)
2000 – 2009
- 2009
- [j2]Christian Rieger, Barbara Zwicknagl:
Deterministic Error Analysis of Support Vector Regression and Related Regularized Kernel Methods. J. Mach. Learn. Res. 10: 2115-2132 (2009) - 2008
- [c1]Christian Rieger, Robert Schaback, Barbara Zwicknagl:
Sampling and Stability. MMCS 2008: 347-369 - 2005
- [j1]Holger Wendland
Approximate Interpolation with Applications to Selecting Smoothing Parameters. Numerische Mathematik 101(4): 729-748 (2005)
Coauthor Index
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