Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector and Matrix Optimal Mass Transport: Theory, Algorithm, and
  Applications   In many applications such as color image processing, data has more than one
piece of information associated with each spatial coordinate, and in such cases
the classical optimal mass transport (OMT) must be generalized to handle
vector-valued or matrix-valued densities. In this paper, we discuss the vector
and matrix optimal mass transport and present three contributions. We first
present a rigorous mathematical formulation for these setups and provide
analytical results including existence of solutions and strong duality. Next,
we present a simple, scalable, and parallelizable methods to solve the vector
and matrix-OMT problems. Finally, we implement the proposed methods on a CUDA
GPU and present experiments and applications.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg