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» A Lower Bound for Primality
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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
CORR
2008
Springer
115views Education» more  CORR 2008»
13 years 7 months ago
Lower Bounds on the Rate-Distortion Function of LDGM Codes
Abstract-- We analyze the performance of low-density generator matrix (LDGM) codes for lossy source coding. We first develop a generic technique for deriving lower bounds on the ef...
Alexandros G. Dimakis, Martin J. Wainwright, Kanna...
COMGEO
2007
ACM
13 years 7 months ago
Geometric dilation of closed planar curves: New lower bounds
Given two points on a closed planar curve, C, we can divide the length of a shortest connecting path in C by their Euclidean distance. The supremum of these ratios, taken over all...
Annette Ebbers-Baumann, Ansgar Grüne, Rolf Kl...
STOC
2007
ACM
142views Algorithms» more  STOC 2007»
14 years 8 months ago
Lower bounds for randomized read/write stream algorithms
Motivated by the capabilities of modern storage architectures, we consider the following generalization of the data stream model where the algorithm has sequential access to multi...
Paul Beame, T. S. Jayram, Atri Rudra