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» Localized Upper and Lower Bounds for Some Estimation Problem...
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STOC
2002
ACM
107views Algorithms» more  STOC 2002»
15 years 10 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
73
Voted
STOC
1992
ACM
110views Algorithms» more  STOC 1992»
15 years 1 months ago
Linear Decision Trees: Volume Estimates and Topological Bounds
Abstract. We describe two methods for estimating the size and depth of decision trees where a linear test is performed at each node. Both methods are applied to the question of dec...
Anders Björner, László Lov&aacu...
UAI
2003
14 years 11 months ago
Approximate Decomposition: A Method for Bounding and Estimating Probabilistic and Deterministic Queries
In this paper, we introduce a method for approximating the solution to inference and optimization tasks in uncertain and deterministic reasoning. Such tasks are in general intract...
David Larkin
COLT
2008
Springer
14 years 11 months ago
Almost Tight Upper Bound for Finding Fourier Coefficients of Bounded Pseudo- Boolean Functions
A pseudo-Boolean function is a real-valued function defined on {0, 1}n . A k-bounded function is a pseudo-Boolean function that can be expressed as a sum of subfunctions each of w...
Sung-Soon Choi, Kyomin Jung, Jeong Han Kim
ECCC
2002
103views more  ECCC 2002»
14 years 9 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák