Bilevel optimization is a field of mathematical programming in which some variables are
constrained to be the solution of another optimization problem. As a consequence, bilevel …

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 …

Bilevel optimization (BO) is useful for solving a variety of important machine learning
problems including but not limited to hyperparameter optimization, meta-learning, continual …

Bilevel optimization enjoys a wide range of applications in hyper-parameter optimization,
meta-learning and reinforcement learning. However, bilevel problems are difficult to solve …

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 …

In this article, we discuss connections between sequential system identification and control
for linear time-invariant systems, often termed indirect data-driven control, as well as a …

Gradient methods have become mainstream techniques for Bi-Level Optimization (BLO) in
learning fields. The validity of existing works heavily rely on either a restrictive Lower-Level …

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 paper proposes a two-stage two-level model for the energy pricing and dispatch
problem faced by a smart grid retailer who plays the role of an intermediary agent between a …

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