Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A short proof on the rate of convergence of the empirical measure for
  the Wasserstein distance   We provide a short proof that the Wasserstein distance between the empirical
measure of a n-sample and the estimated measure is of order n^-(1/d), if the
measure has a lower and upper bounded density on the d-dimensional flat torus.

31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph