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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
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
IPPS
1998
IEEE
13 years 12 months ago
Processor Lower Bound Formulas for Array Computations and Parametric Diophantine Systems
Using a directed acyclic graph (dag) model of algorithms, we solve a problem related to precedenceconstrained multiprocessor schedules for array computations: Given a sequence of ...
Peter R. Cappello, Ömer Egecioglu
SODA
2004
ACM
87views Algorithms» more  SODA 2004»
13 years 9 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
INFOCOM
2005
IEEE
14 years 1 months ago
Low-state fairness: lower bounds and practical enforcement
— Providing approximate max-min fair bandwidth allocation among flows within a network or at a single router has been an important research problem. In this paper, we study the ...
Abhimanyu Das, Debojyoti Dutta, Ahmed Helmy, Ashis...