Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stein's Method for Probability Distributions on $\mathbb{S}^1$   In this paper, we propose a modification to the density approach to Stein's
method for intervals for the unit circle $\mathbb{S}^1$ which is motivated by
the differing geometry of $\mathbb{S}^1$ to Euclidean space. We provide an
upper bound to the Wasserstein metric for circular distributions and exhibit a
variety of different bounds between distributions; particularly, between the
von-Mises and wrapped normal distributions, and the wrapped normal and wrapped
Cauchy distributions.

5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex