A review on bilevel optimization: From classical to evolutionary approaches and applications

A Sinha, P Malo, K Deb - IEEE transactions on evolutionary …, 2017 - ieeexplore.ieee.org
Bilevel optimization is defined as a mathematical program, where an optimization problem
contains another optimization problem as a constraint. These problems have received …

On implicit bias in overparameterized bilevel optimization

P Vicol, JP Lorraine, F Pedregosa… - International …, 2022 - proceedings.mlr.press
Many problems in machine learning involve bilevel optimization (BLO), including
hyperparameter optimization, meta-learning, and dataset distillation. Bilevel problems …

[图书][B] Mathematical programs with equilibrium constraints

ZQ Luo, JS Pang, D Ralph - 1996 - books.google.com
This book provides a solid foundation and an extensive study for an important class of
constrained optimization problems known as Mathematical Programs with Equilibrium …

Bilevel optimization: theory, algorithms, applications and a bibliography

S Dempe - Bilevel optimization: advances and next challenges, 2020 - Springer
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 …

Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints

S Dempe - 2003 - Taylor & Francis
In this bibliography main directions of research as well as main fields of applications of
bilevel programming problems and mathematical programs with equilibrium constraints are …

Social attribute aware incentive mechanism for device-to-device video distribution

D Wu, J Yan, H Wang, D Wu… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
To offload and alleviate the heavy base station (BS) traffic load caused by the rapidly
growing video services, device-to-device (D2D) communication, as one of the most …

Pessimistic bilevel optimization: a survey

J Liu, Y Fan, Z Chen, Y Zheng - International Journal of Computational …, 2018 - Springer
Bilevel optimization are often addressed in an organizational hierarchy in which the upper
level decision maker is the leader and the lower level decision maker is the follower. The …

Weak via strong Stackelberg problem: new results

P Loridan, J Morgan - Journal of global Optimization, 1996 - Springer
We are concerned with weak Stackelberg problems such as those considered in [19],[23]
and [25]. Based on a method due to Molodtsov, we present new results to approximate such …

[图书][B] Bilevel optimization: theory, algorithms and applications

S Dempe - 2018 - optimization-online.org
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 …

Necessary optimality conditions in pessimistic bilevel programming

S Dempe, BS Mordukhovich, AB Zemkoho - Optimization, 2014 - Taylor & Francis
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 …