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» On linear and semidefinite programming relaxations for hyper...
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STOC
2009
ACM
98views Algorithms» more  STOC 2009»
14 years 8 months ago
Sherali-adams relaxations of the matching polytope
We study the Sherali-Adams lift-and-project hierarchy of linear programming relaxations of the matching polytope. Our main result is an asymptotically tight expression 1 + 1/k for...
Claire Mathieu, Alistair Sinclair
ICML
2007
IEEE
14 years 8 months ago
Direct convex relaxations of sparse SVM
Although support vector machines (SVMs) for binary classification give rise to a decision rule that only relies on a subset of the training data points (support vectors), it will ...
Antoni B. Chan, Nuno Vasconcelos, Gert R. G. Lanck...
SODA
2010
ACM
175views Algorithms» more  SODA 2010»
14 years 5 months ago
Fast SDP Algorithms for Constraint Satisfaction Problems
The class of constraint satisfactions problems (CSPs) captures many fundamental combinatorial optimization problems such as Max Cut, Max q-Cut, Unique Games, and Max k-Sat. Recent...
David Steurer
SIAMJO
2010
100views more  SIAMJO 2010»
13 years 2 months ago
Explicit Sensor Network Localization using Semidefinite Representations and Facial Reductions
The sensor network localization, SNL , problem in embedding dimension r, consists of locating the positions of wireless sensors, given only the distances between sensors that are ...
Nathan Krislock, Henry Wolkowicz
CDC
2010
IEEE
155views Control Systems» more  CDC 2010»
13 years 2 months ago
Relaxing LMI domination matricially
Given linear matrix inequalities (LMIs) L1 and L2 in the same number of variables it is natural to ask: (Q1) does one dominate the other, that is, does L1(X) 0 imply L2(X) 0? (Q2) ...
J. William Helton, Igor Klep, Scott A. McCullough