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» A Lower Bound for Primality
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DAGSTUHL
2004
13 years 9 months ago
Lower Bounds and Non-Uniform Time Discretization for Approximation of Stochastic Heat Equations
We study algorithms for approximation of the mild solution of stochastic heat equations on the spatial domain ]0, 1[ d . The error of an algorithm is defined in L2-sense. We derive...
Klaus Ritter, Thomas Müller-Gronbach
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 1 months 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
SODA
2008
ACM
100views Algorithms» more  SODA 2008»
13 years 9 months ago
A tight lower bound for parity in noisy communication networks
We show a tight lower bound of (N log log N) on the number of transmission required to compute the parity of N bits (with constant error) in a network of N randomly placed sensors...
Chinmoy Dutta, Yashodhan Kanoria, D. Manjunath, Ja...
CORR
2007
Springer
144views Education» more  CORR 2007»
13 years 7 months ago
Optimization of Information Rate Upper and Lower Bounds for Channels with Memory
—We consider the problem of minimizing upper bounds and maximizing lower bounds on information rates of stationary and ergodic discrete-time channels with memory. The channels we...
Parastoo Sadeghi, Pascal O. Vontobel, Ramtin Shams
DLT
2006
13 years 9 months ago
Finding Lower Bounds for Nondeterministic State Complexity Is Hard
We investigate the following lower bound methods for regular languages: The fooling set technique, the extended fooling set technique, and the biclique edge cover technique. It is ...
Hermann Gruber, Markus Holzer