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» On the gap between the quadratic integer programming problem...
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MP
2006
113views more  MP 2006»
13 years 10 months ago
On the gap between the quadratic integer programming problem and its semidefinite relaxation
Consider the semidefinite relaxation (SDR) of the quadratic integer program (QIP): := maxx{-1,1}n xT Qx minD-Q 0 trace(D) =:
U. Malik, Imad M. Jaimoukha, G. D. Halikias, S. K....
CVPR
2004
IEEE
15 years 26 days ago
Approximation of Canonical Sets and Their Applications to 2D View Simplification
Given a set of patterns and a similarity measure between them, we will present an optimization framework to approximate a small subset, known as a canonical set, whose members clo...
Trip Denton, Jeff Abrahamson, Ali Shokoufandeh
CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 11 months ago
Grothendieck inequalities for semidefinite programs with rank constraint
Grothendieck inequalities are fundamental inequalities which are frequently used in many areas of mathematics and computer science. They can be interpreted as upper bounds for the ...
Jop Briët, Fernando Mário de Oliveira ...
SODA
2010
ACM
216views Algorithms» more  SODA 2010»
14 years 8 months ago
On linear and semidefinite programming relaxations for hypergraph matching
The hypergraph matching problem is to find a largest collection of disjoint hyperedges in a hypergraph. This is a well-studied problem in combinatorial optimization and graph theo...
Yuk Hei Chan, Lap Chi Lau
CORR
2010
Springer
248views Education» more  CORR 2010»
13 years 11 months ago
Optimal Spectrum Sharing in MIMO Cognitive Radio Networks via Semidefinite Programming
Abstract--In cognitive radio (CR) networks with multipleinput multiple-output (MIMO) links, secondary users (SUs) can exploit "spectrum holes" in the space domain to acce...
Ying Jun Zhang, Anthony Man-Cho So