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SODA
2008
ACM
134views Algorithms» more  SODA 2008»
13 years 9 months ago
Fast algorithms for finding proper strategies in game trees
We show how to find a normal form proper equilibrium in behavior strategies of a given two-player zero-sum extensive form game with imperfect information but perfect recall. Our a...
Peter Bro Miltersen, Troels Bjerre Sørensen
JSC
2010
99views more  JSC 2010»
13 years 6 months ago
Faster algorithms for computing Hong's bound on absolute positiveness
We show how to compute Hong’s bound for the absolute positiveness of a polynomial in d variables with maximum degree δ in O(n logd n) time, where n is the number of non-zero co...
Kurt Mehlhorn, Saurabh Ray
ISSAC
1997
Springer
102views Mathematics» more  ISSAC 1997»
13 years 11 months ago
A Numerical Absolute Primality Test for Bivariate Polynomials
We give a new numerical absolute primality criterion for bivariate polynomials. This test is based on a simple property of the monomials appearing after a generic linear change of...
André Galligo, Stephen M. Watt
CORR
2008
Springer
129views Education» more  CORR 2008»
13 years 7 months ago
Polynomial Linear Programming with Gaussian Belief Propagation
Abstract--Interior-point methods are state-of-the-art algorithms for solving linear programming (LP) problems with polynomial complexity. Specifically, the Karmarkar algorithm typi...
Danny Bickson, Yoav Tock, Ori Shental, Danny Dolev
CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 7 months ago
On sign conditions over real multivariate polynomials
We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a fami...
Gabriela Jeronimo, Daniel Perrucci, Juan Sabia