Approximation by finitely supported measures

Details Approximation by finitely supported measures Approximation by finitely supported measures

2010-03-04

arxiv.org/abs/1003.1035v3

Mathematics

Optimization and Control

v2: the main result is extended to measures defined on a manifold. v3: references added. 25 pp. To appear in ESAIM:COCV

Scientific paper

Given a compactly supported probability measure on a Riemannian manifold, we study the asymptotic speed at which it can be approximated (in Wasserstein distance of any exponent p) by finitely supported measure. This question has been studied under the names of ``quantization of distributions'' and, when p=1, ``location problem''. When p=2, it is linked with Centroidal Voronoi Tessellations.

Affiliated with

Also associated with

No associations

Rating

Approximation by finitely supported measures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Approximation by finitely supported measures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approximation by finitely supported measures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560103