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math.NA2026
Reliable sampling-based RKHS norm estimation via superconvergence
Tizian Wenzel, Abdullah Tokmak, Christian Fiedler
Kernel methods are one of the cornerstones of learning-based control, modern system identification, surrogate modelling, and related fields. A key advantage of this class of learni…
math.NA2026
Piecewise linear interpolation via kernels
Toni Karvonen, Gabriele Santin, Tizian Wenzel
We consider piecewise linear interpolation from the perspective of kernel interpolation and quadrature. If the Sobolev space is equipped with a suitable inner product…
math.NA2026
Sharp inverse statements for kernel approximation: Superconvergence and saturation
Tizian Wenzel
This article establishes sharp inverse and saturation statements for kernel-based approximation using finitely smooth Sobolev kernels on bounded Lipschitz regions. The analysis foc…