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

This paper is devoted to bilevel optimization, a branch of mathematical programming of both
practical and theoretical interest. Starting with a simple example, we proceed towards a …

Many problems in machine learning involve bilevel optimization (BLO), including
hyperparameter optimization, meta-learning, and dataset distillation. Bilevel problems …

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 …

This book provides a solid foundation and an extensive study for an important class of
constrained optimization problems known as Mathematical Programs with Equilibrium …

The use of optimization techniques has become integral to the design and analysis of most
industrial and socio-economic systems. Great strides have been made recently in the …

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 paper gives an extensive documentation of applications of finite-dimensional nonlinear
complementarity problems in engineering and equilibrium modeling. For most applications …

This paper contains a bibliography of all references central to bilevel and multilevel
programming that the authors know of. It should be regarded as a dynamic and permanent …

In the early fifties, applied mathematicians, engineers and economists started to pay c10se
attention to the optimization problems in which another (lower-Ievel) optimization problem …