Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Near-optimal Robust Bilevel Optimization   Bilevel optimization problems embed the optimality conditions of a
sub-problem into the constraints of another optimization problem. We introduce
the concept of near-optimality robustness for bilevel problems, protecting the
upper-level solution feasibility from limited deviations at the lower level.
General properties and necessary conditions for the existence of solutions are
derived for near-optimal robust versions of generic bilevel problems. A
duality-based solution method is defined when the lower level is convex,
leveraging the methodology from the robust and bilevel literature. Numerical
results assess the efficiency of the proposed algorithm and the impact of valid
inequalities on the solution time.

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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
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The categories of this paper are: physics
29
The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio