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» Quantum Lower Bounds by Polynomials
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STOC
2003
ACM
110views Algorithms» more  STOC 2003»
14 years 7 months ago
New degree bounds for polynomial threshold functions
A real multivariate polynomial p(x1, . . . , xn) is said to sign-represent a Boolean function f : {0, 1}n {-1, 1} if the sign of p(x) equals f(x) for all inputs x {0, 1}n. We gi...
Ryan O'Donnell, Rocco A. Servedio
JCSS
1998
65views more  JCSS 1998»
13 years 6 months ago
Good Degree Bounds on Nullstellensatz Refutations of the Induction Principle
This paper gives nearly optimal, logarithmic upper and lower bounds on the minimum degree of Nullstellensatz refutations (i.e., polynomials) of the propositional induction princip...
Samuel R. Buss, Toniann Pitassi
FOCS
2006
IEEE
14 years 24 days ago
Higher Lower Bounds for Near-Neighbor and Further Rich Problems
We convert cell-probe lower bounds for polynomial space into stronger lower bounds for near-linear space. Our technique applies to any lower bound proved through the richness meth...
Mihai Patrascu, Mikkel Thorup
STOC
2007
ACM
101views Algorithms» more  STOC 2007»
14 years 7 months ago
Toward a general theory of quantum games
We study properties of quantum strategies, which are complete specifications of a given party's actions in any multiple-round interaction involving the exchange of quantum in...
Gus Gutoski, John Watrous
ISAAC
2010
Springer
243views Algorithms» more  ISAAC 2010»
13 years 4 months ago
Lower Bounds for Howard's Algorithm for Finding Minimum Mean-Cost Cycles
Howard's policy iteration algorithm is one of the most widely used algorithms for finding optimal policies for controlling Markov Decision Processes (MDPs). When applied to we...
Thomas Dueholm Hansen, Uri Zwick