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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»
14 years 7 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
STOC
1992
ACM
110views Algorithms» more  STOC 1992»
13 years 11 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
13 years 8 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
13 years 9 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»
13 years 7 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