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 …

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 …

A literature review: solving constrained non-linear bi-level optimization problems with classical methods

A Biswas, C Hoyle - … Design Engineering Technical …, 2019 - asmedigitalcollection.asme.org
Bi-level optimization is an emerging scope of research which consists of two optimization
problems, where the lower-level optimization problem is nested into the upper-level problem …

Bilevel optimization based on iterative approximation of multiple mappings

A Sinha, Z Lu, K Deb, P Malo - Journal of Heuristics, 2020 - Springer
A large number of application problems involve two levels of optimization, where one
optimization task is nested inside the other. These problems are known as bilevel …

Handling practicalities in agricultural policy optimization for water quality improvements

B Barnhart, Z Lu, M Bostian, A Sinha, K Deb… - Proceedings of the …, 2017 - dl.acm.org
Bilevel and multi-objective optimization methods are often useful to spatially target agri-
environmental policy throughout a watershed. This type of problem is complex and is …

[PDF][PDF] New concepts of well-posedness for optimization problems with variational inequality constraints

I Del Prete, MB Lignola, J Morgan - J. Inequal. Pure Appl. Math, 2003 - emis.dsd.sztaki.hu
In this note we present a new concept of well-posedness for Optimization Problems with
constraints described by parametric Variational Inequalities or parametric Minimum …

Rating mechanisms for sustainability of crowdsourcing platforms

C Qiu, A Squicciarini, S Rajtmajer - Proceedings of the 28th ACM …, 2019 - dl.acm.org
Crowdsourcing leverages the diverse skill sets of large collections of individual contributors
to solve problems and execute projects, where contributors may vary significantly in …

On Bilevel Optimization without Full Unrolls: Methods and Applications

PA Vicol - 2023 - search.proquest.com
Bilevel optimization (BLO) problems are nested optimization problems where an outer
objective must be minimized subject to the optimality of an inner objective. This nested …