Mathias Sonnleitner

activity

20192024

most citedRandom approximation of convex bodies in Hausdorff metric

4 citations · 18 across the 13 of their papers we have counts for

collaborators

Showing 2021 · math.NAShow all

2 papers · 2 filters

math.NA2021★ 2 cited

Function recovery on manifolds using scattered data

David Krieg, Mathias Sonnleitner

We consider the task of recovering a Sobolev function on a connected compact Riemannian manifold $M$ when given a sample on a finite point set. We prove that the quality of the sam…

math.NA2021

Recovery of Sobolev functions restricted to iid sampling

David Krieg, Erich Novak, Mathias Sonnleitner

We study $L_{q}$ -approximation and integration for functions from the Sobolev space $W_{p}^{s} (Ω)$ and compare optimal randomized (Monte Carlo) algorithms with algorithms that can only u…