Planar Earthmover is not in $L_1$

Details Planar Earthmover is not in $L_1$ Planar Earthmover is not in $L_1$

2005-09-26

arxiv.org/abs/cs/0509074v1

Computer Science

Computational Geometry

Scientific paper

We show that any $L_1$ embedding of the transportation cost (a.k.a.
Earthmover) metric on probability measures supported on the grid
$\{0,1,...,n\}^2\subseteq \R^2$ incurs distortion $\Omega(\sqrt{\log n})$. We
also use Fourier analytic techniques to construct a simple $L_1$ embedding of
this space which has distortion $O(\log n)$.

Affiliated with

Also associated with

No associations

Rating

Planar Earthmover is not in $L_1$ 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 Planar Earthmover is not in $L_1$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Planar Earthmover is not in $L_1$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-502999