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 …

With the increasing reliance on modeling optimization problems in practical applications, a
number of theoretical and algorithmic contributions of optimization have been proposed. The …

This paper proposes a new algorithm--the\underline {S} ingle-timescale Do\underline {u} ble-
momentum\underline {St} ochastic\underline {A} pprox\underline {i} matio\underline …

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 …

The design of efficient Demand Response (DR) mechanisms for the residential sector
entails significant challenges, due to the large number of home users and the negligible …

Bilevel programming problems are hierarchical optimization problems where the constraints
of one problem (the so-called upper level problem) are defined in part by a second …

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 …

Optimization has been expanding in all directions at an astonishing rate during the last few
decades. New algorithmic and theoretical techniques have been developed, the diffusion …

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 book provides an introduction to some modern computational techniques for
optimization problems governed by partial differential equations (PDEs). The optimization …