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» Semidefinite programming for N-Player Games
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FCT
2007
Springer
14 years 12 days ago
Product Rules in Semidefinite Programming
Abstract. In recent years we have witnessed the proliferation of semidefinite programming bounds in combinatorial optimization [1,5,8], quantum computing [9,2,3,6,4,16] and even in...
Rajat Mittal, Mario Szegedy
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 8 months ago
Semidefinite programming for N-Player Games
Abstract. We introduce two min-max problems: the first problem is to minimize the supremum of finitely many rational functions over a compact basic semi-algebraic set whereas the s...
Rida Laraki, Jean B. Lasserre
SODA
2010
ACM
175views Algorithms» more  SODA 2010»
14 years 6 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
ICALP
2010
Springer
14 years 1 months ago
The Positive Semidefinite Grothendieck Problem with Rank Constraint
Given a positive integer n and a positive semidefinite matrix A = (Aij ) ∈ Rm×m the positive semidefinite Grothendieck problem with rank-nconstraint is (SDPn) maximize mX i=1 ...
Jop Briët, Fernando Mário de Oliveira ...
APPROX
2010
Springer
147views Algorithms» more  APPROX 2010»
13 years 10 months ago
Approximate Lasserre Integrality Gap for Unique Games
In this paper, we investigate whether a constant round Lasserre Semi-definite Programming (SDP) relaxation might give a good approximation to the UNIQUE GAMES problem. We show tha...
Subhash Khot, Preyas Popat, Rishi Saket