4 papers
Minimal-Norm Extensions of Stationary Kernels on Subgroups of Locally Compact Abelian Groups and Gaussian Conditioning
Daniel Winkle
We study restrictions of stationary kernels on locally compact abelian groups to closed subgroups . For a nonnegative spectral density , we derive an explicit fibrew…
Refined rates of convergence for target-data dependent greedy generalized interpolation with Sobolev kernels
Bernard Haasdonk, Gabriele Santin, Tizian Wenzel +1
Greedy methods have recently been successfully applied to generalized kernel interpolation, or the recovery of a function from data stemming from the evaluation of linear functiona…
Convergence Rates for Realizations of Gaussian Random Variables
Daniel Winkle, Ingo Steinwart, Bernard Haasdonk
This paper investigates the approximation of Gaussian random variables in Banach spaces, focusing on the high-probability bounds for the approximation of Gaussian random variables…
Convergence Analysis of a Greedy Algorithm for Conditioning Gaussian Random Variables
Daniel Winkle, Ingo Steinwart, Bernard Haasdonk
In the context of Gaussian conditioning, greedy algorithms iteratively select the most informative measurements, given an observed Gaussian random variable. However, the convergenc…