Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Techniques for Gradient Based Bilevel Optimization with Nonsmooth Lower
  Level Problems   We propose techniques for approximating bilevel optimization problems with
non-smooth lower level problems that can have a non-unique solution. To this
end, we substitute the expression of a minimizer of the lower level
minimization problem with an iterative algorithm that is guaranteed to converge
to a minimizer of the problem. Using suitable non-linear proximal distance
functions, the update mappings of such an iterative algorithm can be
differentiable, notwithstanding the fact that the minimization problem is
non-smooth.

13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex