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OL
2010
104views more  OL 2010»
13 years 7 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
SIAMDM
2011
13 years 3 months ago
On Maximal S-Free Convex Sets
Let S ⊆ Zn satisfy the property that conv(S) ∩ Zn = S. Then a convex set K is called an S-free convex set if int(K) ∩ S = ∅. A maximal S-free convex set is an S-free convex...
Diego A. Morán R., Santanu S. Dey
MP
2010
100views more  MP 2010»
13 years 7 months ago
Strong valid inequalities for orthogonal disjunctions and bilinear covering sets
In this paper, we develop a convexification tool that enables the construction of convex hulls for orthogonal disjunctive sets using convex extensions and disjunctive programming...
Mohit Tawarmalani, Jean-Philippe P. Richard, Kwang...
FOCS
2006
IEEE
14 years 2 months ago
Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a noti...
Luis Rademacher, Santosh Vempala
FOCS
2005
IEEE
14 years 2 months ago
Truthful and Near-Optimal Mechanism Design via Linear Programming
We give a general technique to obtain approximation mechanisms that are truthful in expectation. We show that for packing domains, any α-approximation algorithm that also bounds ...
Ron Lavi, Chaitanya Swamy