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CORR
2002
Springer
102views Education» more  CORR 2002»
13 years 7 months ago
Quantum Lower Bound for Recursive Fourier Sampling
One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algo...
Scott Aaronson
ICALP
2007
Springer
14 years 1 months ago
Estimating Sum by Weighted Sampling
We study the classic problem of estimating the sum of n variables. The traditional uniform sampling approach requires a linear number of samples to provide any non-trivial guarante...
Rajeev Motwani, Rina Panigrahy, Ying Xu 0002
JC
2008
128views more  JC 2008»
13 years 7 months ago
Lattice rule algorithms for multivariate approximation in the average case setting
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
CORR
2006
Springer
97views Education» more  CORR 2006»
13 years 7 months ago
The one-way communication complexity of the Boolean Hidden Matching Problem
We give a tight lower bound of ( n) for the randomized one-way communication complexity of the Boolean Hidden Matching Problem [BJK04]. Since there is a quantum one-way communica...
Iordanis Kerenidis, Ran Raz
DAGSTUHL
2004
13 years 8 months ago
On the Complexity of Parabolic Initial Value Problems with Variable Drift
We study the intrinsic difficulty of solving linear parabolic initial value problems numerically at a single point. We present a worst case analysis for deterministic as well as fo...
Knut Petras, Klaus Ritter