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» Semidefinite programming for N-Player Games
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FCT
2007
Springer
13 years 8 months 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 4 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 2 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
13 years 9 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 6 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