Bilevel optimization is defined as a mathematical program, where an optimization problem
contains another optimization problem as a constraint. These problems have received …

A great amount of new applied problems in the area of energy networks has recently arisen
that can be efficiently solved only as mixed‐integer bilevel programs. Among them are the …

Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

Bilevel optimization is a vital field of active research. Depending on its formulation it is part of
nonsmooth or nondifferentiable optimization, conic programming, optimization with …

Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

Bilevel optimization, which captures the inherent nested structure of machine learning
problems, is gaining popularity in many recent applications. Existing works on bilevel …

We consider the bilevel programming problem and its optimal value and KKT one level
reformulations. The two reformulations are studied in a unified manner and compared in …

Bilevel optimization problems are hierarchical optimization problems where the feasible
region of the so-called upper level problem is restricted by the graph of the solution set …

This article is devoted to the so-called pessimistic version of bilevel programming programs.
Minimization problems of this type are challenging to handle partly because the …

Bilevel optimization has recently regained interest owing to its applications in emerging
machine learning fields such as hyperparameter optimization, meta-learning, and …