Christian Rieger

29 papers Journal 28Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification. SIAM J. Numer. Anal. Christian Rieger, Holger Wendland
2025	J	`jnl`	A Semi-Lagrangian scheme on embedded manifolds using generalized local polynomial reproductions. CoRR Thomas Hangelbroek, Christian Rieger, Grady B. Wright
2025	J	`jnl`	Efficiently parallelizable kernel-based multi-scale algorithm. CoRR Federico Lot, Christian Rieger
2025	J	`jnl`	Kernel multigrid on manifolds. J. Complex. Thomas Hangelbroek, Christian Rieger
2025	J	`jnl`	Spectral stability and perturbation results for kernel differentiation matrices on the sphere. Numerische Mathematik Thomas Hangelbroek, Christian Rieger, Grady B. Wright
2024	J	`jnl`	Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification. CoRR Christian Rieger, Holger Wendland
2024	J	`jnl`	Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms. Math. Comput. Thomas Hangelbroek, Christian Rieger
2024	J	`jnl`	Generalized local polynomial reproductions. CoRR Thomas Hangelbroek, Christian Rieger, Grady B. Wright
2024	J	`jnl`	On the Approximability and Curse of Dimensionality of Certain Classes of High-Dimensional Functions. SIAM J. Numer. Anal. Christian Rieger, Holger Wendland
2024	J	`jnl`	On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR Michael Griebel, Guanglian Li, Christian Rieger
2023	J	`jnl`	Extending error bounds for radial basis function interpolation to measuring the error in higher order Sobolev norms. CoRR Thomas Hangelbroek, Christian Rieger
2023	J	`jnl`	Highly Localized RBF Lagrange Functions for Finite Difference Methods on Spheres. CoRR Wolfgang Erb, Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
2023	J	`jnl`	Kernel Multi-Grid on Manifolds. CoRR Thomas Hangelbroek, Christian Rieger
2023	J	`jnl`	Spectral stability and perturbation results for kernel differentiation matrices on the sphere. CoRR Thomas Hangelbroek, Christian Rieger, Grady B. Wright
2021	J	`jnl`	Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing. SIAM J. Sci. Comput. Matthias Kirchhart, Christian Rieger
2021	J	`jnl`	On the Numerical Approximation of the Karhunen-Loève Expansion for Random Fields with Random Discrete Data. CoRR Michael Griebel, Guanglian Li, Christian Rieger
2019	J	`jnl`	A Particle Method without Remeshing. CoRR Matthias Kirchhart, Christian Rieger
2019	J	`jnl`	A Representer Theorem for Deep Kernel Learning. J. Mach. Learn. Res. Bastian Bohn, Christian Rieger, Michael Griebel
2018	J	`jnl`	An inverse theorem for compact Lipschitz regions in ℝ Math. Comput. Thomas Hangelbroek, Francis J. Narcowich, Christian Rieger, Joseph D. Ward
2018	J	`jnl`	Regularized Kernel-Based Reconstruction in Generalized Besov Spaces. Found. Comput. Math. Michael Griebel, Christian Rieger, Barbara Zwicknagl
2018	J	`jnl`	ε-dimension in infinite dimensional hyperbolic cross approximation and application to parametric elliptic PDEs. J. Complex. Dinh Dung, Michael Griebel, Vu Nhat Huy, Christian Rieger
2017	J	`jnl`	A representer theorem for deep kernel learning. CoRR Bastian Bohn, Michael Griebel, Christian Rieger
2017	J	`jnl`	Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations. SIAM/ASA J. Uncertain. Quantification Michael Griebel, Christian Rieger
2017	J	`jnl`	Sampling inequalities for sparse grids. Numerische Mathematik Christian Rieger, Holger Wendland
2015	J	`jnl`	Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. SIAM J. Numer. Anal. Michael Griebel, Christian Rieger, Barbara Zwicknagl
2010	J	`jnl`	Sampling inequalities for infinitely smooth functions, with applications to interpolation and machine learning. Adv. Comput. Math. Christian Rieger, Barbara Zwicknagl
2009	J	`jnl`	Deterministic Error Analysis of Support Vector Regression and Related Regularized Kernel Methods. J. Mach. Learn. Res. Christian Rieger, Barbara Zwicknagl
2008	—	`conf`	Sampling and Stability. MMCS Christian Rieger, Robert Schaback, Barbara Zwicknagl
2005	J	`jnl`	Approximate Interpolation with Applications to Selecting Smoothing Parameters. Numerische Mathematik Holger Wendland, Christian Rieger