Approximate Interpolation with Applications to Selecting Smoothing Parameters. - Holger Wendland; Christian Rieger (Numerische Mathematik, 2005)

Sampling and Stability. - Christian Rieger; Robert Schaback; Barbara Zwicknagl (MMCS, 2008)

Deterministic Error Analysis of Support Vector Regression and Related Regularized Kernel Methods. - Christian Rieger; Barbara Zwicknagl (J. Mach. Learn. Res., 2009)

Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning. - Christian Rieger; Barbara Zwicknagl (Adv. Comput. Math., 2010)

Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. - Michael Griebel; Christian Rieger; Barbara Zwicknagl (SIAM J. Numer. Anal., 2015)

Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations. - Michael Griebel; Christian Rieger (SIAM/ASA J. Uncertain. Quantification, 2017)

Sampling inequalities for sparse grids. - Christian Rieger; Holger Wendland (Numerische Mathematik, 2017)

Regularized Kernel-Based Reconstruction in Generalized Besov Spaces. - Michael Griebel; Christian Rieger; Barbara Zwicknagl (Found. Comput. Math., 2018)

ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. - Dinh Dung; Michael Griebel; Vu Nhat Huy; Christian Rieger (J. Complex., 2018)

An inverse theorem for compact Lipschitz regions in ℝd using localized kernel bases. - Thomas Hangelbroek; Francis J. Narcowich; Christian Rieger; Joseph D. Ward (Math. Comput., 2018)

A Particle Method without Remeshing. - Matthias Kirchhart; Christian Rieger (CoRR, 2019)

A Representer Theorem for Deep Kernel Learning. - Bastian Bohn; Christian Rieger; Michael Griebel (J. Mach. Learn. Res., 2019)

On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. - Michael Griebel; Guanglian Li; Christian Rieger (CoRR, 2021)

Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing. - Matthias Kirchhart; Christian Rieger (SIAM J. Sci. Comput., 2021)

Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres. - Wolfgang Erb; Thomas Hangelbroek; Francis J. Narcowich; Christian Rieger; Joseph D. Ward (CoRR, 2023)

Kernel Multi-Grid on Manifolds. - Thomas Hangelbroek; Christian Rieger (CoRR, 2023)

Generalized local polynomial reproductions. - Thomas Hangelbroek; Christian Rieger; Grady B. Wright (CoRR, 2024)

Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification. - Christian Rieger; Holger Wendland (CoRR, 2024)

Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms. - Thomas Hangelbroek; Christian Rieger (Math. Comput., 2024)

On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions. - Christian Rieger; Holger Wendland (SIAM J. Numer. Anal., 2024)

Kernel multigrid on manifolds. - Thomas Hangelbroek; Christian Rieger (J. Complex., 2025)

Efficiently parallelizable kernel-based multi-scale algorithm. - Federico Lot; Christian Rieger (CoRR, 2025)

Spectral stability and perturbation results for kernel differentiation matrices on the sphere. - Thomas Hangelbroek; Christian Rieger; Grady B. Wright (Numerische Mathematik, 2025)