Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formulation and properties of a divergence used to compare probability
  measures without absolute continuity and its application to uncertainty
  quantification   This thesis develops a new divergence that generalizes relative entropy and
can be used to compare probability measures without a requirement of absolute
continuity. We establish properties of the divergence, and in particular derive
and exploit a representation as an infimum convolution of optimal transport
cost and relative entropy. We include examples of computation and approximation
of the divergence, and its applications in uncertainty quantification in
discrete models and Gauss-Markov models.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat