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SIAMDM
2010
105views more  SIAMDM 2010»
12 years 11 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 4 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 4 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 3 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»
12 years 11 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