Approximating probability measures by t-design curves

13.11.2019 11:30 - 13:00

Martin Ehler (University of Vienna)

The approximation of probability measures by simpler measures supported on a finite set of points is a classical task in approximation and complexity theory with a wide range of applications. Instead of point measures we are concerned with the approximation by measures supported on curves. We first generalize the concept of t-design points to t-design curves and then derive optimal approximation rates in terms of the curve's length. We also provide numerical experiments that illustrate our theoretical results.

(This is joint work with Manuel Gräf, Sebastian Neumayer, and Gabriele Steidl)

M. Ehler, K. Gröchenig
SR 11