Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bilevel Optimization for Differentially Private Optimization in Energy
  Systems   This paper studies how to apply differential privacy to constrained
optimization problems whose inputs are sensitive. This task raises significant
challenges since random perturbations of the input data often render the
constrained optimization problem infeasible or change significantly the nature
of its optimal solutions. To address this difficulty, this paper proposes a
bilevel optimization model that can be used as a post-processing step: It
redistributes the noise introduced by a differentially private mechanism
optimally while restoring feasibility and near-optimality. The paper shows
that, under a natural assumption, this bilevel model can be solved efficiently
for real-life large-scale nonlinear nonconvex optimization problems with
sensitive customer data. The experimental results demonstrate the accuracy of
the privacy-preserving mechanism and showcases significant benefits compared to
standard approaches.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio