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» Exact solutions to linear programming problems
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MP
2002
93views more  MP 2002»
13 years 7 months ago
Conditioning of convex piecewise linear stochastic programs
In this paper we consider stochastic programming problems where the objective function is given as an expected value of a convex piecewise linear random function. With an optimal s...
Alexander Shapiro, Tito Homem-de-Mello, Joocheol K...
4OR
2006
100views more  4OR 2006»
13 years 7 months ago
Nondecomposable solutions to group equations and an application to polyhedral combinatorics
This paper is based on the study of the set of nondecomposable integer solutions in a Gomory corner polyhedron, which was recently used in a reformulation method for integer linear...
Matthias Jach, Matthias Köppe, Robert Weisman...
SIAMREV
2010
174views more  SIAMREV 2010»
13 years 2 months ago
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the ...
Benjamin Recht, Maryam Fazel, Pablo A. Parrilo
NIPS
2007
13 years 9 months ago
Linear programming analysis of loopy belief propagation for weighted matching
Loopy belief propagation has been employed in a wide variety of applications with great empirical success, but it comes with few theoretical guarantees. In this paper we investiga...
Sujay Sanghavi, Dmitry M. Malioutov, Alan S. Wills...
JMLR
2012
11 years 10 months ago
Exact Covariance Thresholding into Connected Components for Large-Scale Graphical Lasso
We consider the sparse inverse covariance regularization problem or graphical lasso with regularization parameter λ. Suppose the sample covariance graph formed by thresholding th...
Rahul Mazumder, Trevor Hastie