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SIAMDM
2010
105views more  SIAMDM 2010»
13 years 1 months ago
Minimal Inequalities for an Infinite Relaxation of Integer Programs
We show that maximal S-free convex sets are polyhedra when S is the set of integral points in some rational polyhedron of Rn . This result extends a theorem of Lov
Amitabh Basu, Michele Conforti, Gérard Corn...
DCG
2000
55views more  DCG 2000»
13 years 6 months ago
Minimal Simplicial Dissections and Triangulations of Convex 3-Polytopes
This paper addresses three questions related to minimal triangulations of a 3-dimensional convex polytope P.
Alexander Below, Jesús A. De Loera, Jü...
SIAMJO
2000
88views more  SIAMJO 2000»
13 years 6 months ago
A Feasible BFGS Interior Point Algorithm for Solving Convex Minimization Problems
Abstract. We propose a BFGS primal-dual interior point method for minimizing a convex function on a convex set defined by equality and inequality constraints. The algorithm generat...
Paul Armand, Jean Charles Gilbert, Sophie Jan-J&ea...
OL
2010
104views more  OL 2010»
13 years 5 months ago
On representations of the feasible set in convex optimization
We consider the convex optimization problem minx{f(x) : gj(x) ≤ 0, j = 1, . . . , m} where f is convex, the feasible set K is convex and Slater’s condition holds, but the funct...
Jean B. Lasserre
JMLR
2010
105views more  JMLR 2010»
13 years 1 months ago
Classification Methods with Reject Option Based on Convex Risk Minimization
In this paper, we investigate the problem of binary classification with a reject option in which one can withhold the decision of classifying an observation at a cost lower than t...
Ming Yuan, Marten H. Wegkamp