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

A Sinha, P Malo, L Fowl, WR Huang, W Czaja… - arxiv preprint arxiv …, 2020 - arxiv.org
Data Poisoning attacks modify training data to maliciously control a model trained on such
data. In this work, we focus on targeted poisoning attacks which cause a reclassification of …

Bilevel programming problems

S Dempe, V Kalashnikov, GA Pérez-Valdés… - Energy Systems …, 2015 - Springer
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 …

[КНИГА][B] Foundations of bilevel programming

S Dempe - 2002 - books.google.com
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 …

A representation and economic interpretation of a two-level programming problem

J Fortuny-Amat, B McCarl - Journal of the operational Research …, 1981 - Taylor & Francis
This paper first presents a formulation for a class of hierarchial problems that show a two-
stage decision making process; this formulation is termed multilevel programming and could …

[КНИГА][B] Practical bilevel optimization: algorithms and applications

JF Bard - 2013 - books.google.com
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 …

New branch-and-bound rules for linear bilevel programming

P Hansen, B Jaumard, G Savard - SIAM Journal on scientific and Statistical …, 1992 - SIAM
A new branch-and-bound algorithm for linear bilevel programming is proposed. Necessary
optimality conditions expressed in terms of tightness of the follower's constraints are used to …

Bilevel and multilevel programming: A bibliography review

LN Vicente, PH Calamai - Journal of Global optimization, 1994 - Springer
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 …

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 …