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SIAMJO
2011
13 years 2 months ago
A Unifying Polyhedral Approximation Framework for Convex Optimization
Abstract. We propose a unifying framework for polyhedral approximation in convex optimization. It subsumes classical methods, such as cutting plane and simplicial decomposition, bu...
Dimitri P. Bertsekas, Huizhen Yu
DISOPT
2008
138views more  DISOPT 2008»
13 years 7 months ago
An algorithmic framework for convex mixed integer nonlinear programs
This paper is motivated by the fact that mixed integer nonlinear programming is an important and difficult area for which there is a need for developing new methods and software f...
Pierre Bonami, Lorenz T. Biegler, Andrew R. Conn, ...
SODA
1992
ACM
140views Algorithms» more  SODA 1992»
13 years 8 months ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri
CORR
2010
Springer
198views Education» more  CORR 2010»
13 years 3 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
IPCO
2010
231views Optimization» more  IPCO 2010»
13 years 8 months ago
Branched Polyhedral Systems
We introduce the framework of polyhedral branching systems that can be used in order to construct extended formulations for polyhedra by combining extended formulations for other p...
Volker Kaibel, Andreas Loos