15 citations · 53 across the 11 of their papers we have counts for
3 papers · 1 filter
Points on manifolds with asymptotically optimal covering radius
Anna Breger, Martin Ehler, Manuel Graef
Given a finite set of points on the Euclidean sphere, the worst case quadrature error in Sobolev spaces has recently been shown to provide upper bounds on the covering radius of th…
Quasi Monte Carlo integration and kernel-based function approximation on Grassmannians
Anna Breger, Martin Ehler, Manuel Graef
Numerical integration and function approximation on compact Riemannian manifolds based on eigenfunctions of the Laplace-Beltrami operator have been widely studied in the recent lit…
From low to high-dimensional moments without magic
Bernhard G. Bodmann, Martin Ehler, Manuel Graef
We aim to compute the first few moments of a high-dimensional random vector from the first few moments of a number of its low-dimensional projections. To this end, we identify alge…