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4OR
2005
158views more  4OR 2005»
13 years 5 months ago
Bilevel programming: A survey
This paper provides an introductory survey of a class of optimization problems known as bilevel programming. We motivate this class through a simple application, and then proceed w...
Benoît Colson, Patrice Marcotte, Gilles Sava...
AMC
2006
107views more  AMC 2006»
13 years 5 months ago
Linear bilevel programming with upper level constraints depending on the lower level solution
Focus in the paper is on the definition of linear bilevel programming problems, the existence of optimal solutions and necessary as well as sufficient optimality conditions. In th...
Ayalew Getachew Mersha, Stephan Dempe
ANOR
2007
91views more  ANOR 2007»
13 years 5 months ago
An overview of bilevel optimization
Abstract 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 ...
Benoît Colson, Patrice Marcotte, Gilles Sava...
IJCNN
2006
IEEE
13 years 11 months ago
Model Selection via Bilevel Optimization
— A key step in many statistical learning methods used in machine learning involves solving a convex optimization problem containing one or more hyper-parameters that must be sel...
Kristin P. Bennett, Jing Hu, Xiaoyun Ji, Gautam Ku...
CDC
2009
IEEE
138views Control Systems» more  CDC 2009»
13 years 10 months ago
Bilevel programming for analysis of low-complexity control of linear systems with constraints
— In this paper we use bilevel programming to find the maximum difference between a reference controller and a low-complexity controller in terms of the infinitynorm difference...
Henrik Manum, Colin Neil Jones, Johan Löfberg...