Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Simple Duality Proof for Wasserstein Distributionally Robust
  Optimization   We present a short and elementary proof of the duality for Wasserstein
distributionally robust optimization, which holds for any arbitrary Kantorovich
transport distance, any arbitrary measurable loss function, and any arbitrary
nominal probability distribution, as long as certain interchangeability
principle holds.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio