Christian Rieger

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 16

Top Topics

Infinite Dimensional

Reproducing Kernel Hilbert Space

Top Venues

SIAM J. Numer. Anal.

SIAM/ASA J. Uncertain. Quantification

Found. Comput. Math.

Publications

Christian Rieger, Holger Wendland
On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions. SIAM J. Numer. Anal. 62 (2) (2024)
Thomas Hangelbroek, Christian Rieger
Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms. CoRR (2023)
Thomas Hangelbroek, Christian Rieger, Grady B. Wright
Spectral stability and perturbation results for kernel differentiation matrices on the sphere. CoRR (2023)
Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres. CoRR (2023)
Thomas Hangelbroek, Christian Rieger
Kernel Multi-Grid on Manifolds. CoRR (2023)
Michael Griebel, Guanglian Li, Christian Rieger
On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR (2021)
Matthias Kirchhart, Christian Rieger
Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing. SIAM J. Sci. Comput. 43 (1) (2021)
Bastian Bohn, Christian Rieger, Michael Griebel
A Representer Theorem for Deep Kernel Learning. J. Mach. Learn. Res. 20 (2019)
Matthias Kirchhart, Christian Rieger
A Particle Method without Remeshing. CoRR (2019)
Michael Griebel, Christian Rieger, Barbara Zwicknagl
Regularized Kernel-Based Reconstruction in Generalized Besov Spaces. Found. Comput. Math. 18 (2) (2018)
Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
using localized kernel bases. Math. Comput. 87 (312) (2018)
Dinh Dung, Michael Griebel, Vu Nhat Huy, Christian Rieger
ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. J. Complex. 46 (2018)
Michael Griebel, Christian Rieger
Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations. SIAM/ASA J. Uncertain. Quantification 5 (1) (2017)
Bastian Bohn, Michael Griebel, Christian Rieger
A representer theorem for deep kernel learning. CoRR (2017)
Christian Rieger, Holger Wendland
Sampling inequalities for sparse grids. Numerische Mathematik 136 (2) (2017)
Michael Griebel, Christian Rieger, Barbara Zwicknagl
Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. SIAM J. Numer. Anal. 53 (2) (2015)
Christian Rieger, Barbara Zwicknagl
Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning. Adv. Comput. Math. 32 (1) (2010)
Christian Rieger, Barbara Zwicknagl
Deterministic Error Analysis of Support Vector Regression and Related Regularized Kernel Methods. J. Mach. Learn. Res. 10 (2009)
Christian Rieger, Robert Schaback, Barbara Zwicknagl
Sampling and Stability. MMCS (2008)
Holger Wendland, Christian Rieger
Approximate Interpolation with Applications to Selecting Smoothing Parameters. Numerische Mathematik 101 (4) (2005)