Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From Knothe's transport to Brenier's map and a continuation method for
  optimal transport   A simple procedure to map two probability measures in $\mathbb{R}^d$ is the
so-called \emph{Knothe-Rosenblatt rearrangement}, which consists in rearranging
monotonically the marginal distributions of the last coordinate, and then the
conditional distributions, iteratively. We show that this mapping is the limit
of solutions to a class of Monge-Kantorovich mass transportation problems with
quadratic costs, with the weights of the coordinates asymptotically dominating
one another. This enables us to design a continuation method for numerically
solving the optimal transport problem.

4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat