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CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 7 months ago
Adversary lower bounds for nonadaptive quantum algorithms
We present two general methods for proving lower bounds on the query complexity of nonadaptive quantum algorithms. Both methods are based on the adversary method of Ambainis. We sh...
Pascal Koiran, Jürgen Landes, Natacha Portier...
AIPS
2009
13 years 8 months ago
Lower Bounding Klondike Solitaire with Monte-Carlo Planning
Despite its ubiquitous presence, very little is known about the odds of winning the simple card game of Klondike Solitaire. The main goal of this paper is to investigate the use o...
Ronald Bjarnason, Alan Fern, Prasad Tadepalli
COLT
2006
Springer
13 years 11 months ago
Efficient Learning Algorithms Yield Circuit Lower Bounds
We describe a new approach for understanding the difficulty of designing efficient learning algorithms. We prove that the existence of an efficient learning algorithm for a circui...
Lance Fortnow, Adam R. Klivans
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 27 days ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 7 months ago
On Equivalence Between Network Topologies
One major open problem in network coding is to characterize the capacity region of a general multi-source multi-demand network. There are some existing computational tools for boun...
Michelle Effros, Tracey Ho, Shirin Jalali