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 2021Show all

3 papers · 1 filter

math.FA2021★ 2 cited

Random sections of $ℓ_{p}$ -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators

Aicke Hinrichs, Joscha Prochno, Mathias Sonnleitner

We study the circumradius of a random section of an $ℓ_{p}$ -ellipsoid, $0 < p \leq \infty$ , and compare it with the minimal circumradius over all sections with subspaces of the same c…

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…

Random sections of ℓp​-ellipsoids, optimal recovery and Gelfand numbers of diagonal operators

Function recovery on manifolds using scattered data

Recovery of Sobolev functions restricted to iid sampling

Random sections of $ℓ_{p}$ -ellipsoids, optimal recovery and Gelfand numbers of diagonal operators