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» On the analysis of the (1 1) memetic algorithm
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STOC
2005
ACM
143views Algorithms» more  STOC 2005»
14 years 8 months ago
Optimal approximations of the frequency moments of data streams
We give a 1-pass ~O(m1-2/k )-space algorithm for computing the k-th frequency moment of a data stream for any real k > 2. Together with the lower bounds of [1, 2, 4], this reso...
Piotr Indyk, David P. Woodruff
STOC
2009
ACM
98views Algorithms» more  STOC 2009»
14 years 9 months ago
Sherali-adams relaxations of the matching polytope
We study the Sherali-Adams lift-and-project hierarchy of linear programming relaxations of the matching polytope. Our main result is an asymptotically tight expression 1 + 1/k for...
Claire Mathieu, Alistair Sinclair
TIT
2010
171views Education» more  TIT 2010»
13 years 3 months ago
Analysis of orthogonal matching pursuit using the restricted isometry property
Orthogonal matching pursuit (OMP) is the canonical greedy algorithm for sparse approximation. In this paper we demonstrate that the restricted isometry property (RIP) can be used f...
Mark A. Davenport, Michael B. Wakin
SODA
2008
ACM
200views Algorithms» more  SODA 2008»
13 years 9 months ago
Clustering for metric and non-metric distance measures
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure D. Given a finite set P, our goal is to find a set C of size k such that the s...
Marcel R. Ackermann, Johannes Blömer, Christi...
PODS
2010
ACM
215views Database» more  PODS 2010»
14 years 1 months ago
An optimal algorithm for the distinct elements problem
We give the first optimal algorithm for estimating the number of distinct elements in a data stream, closing a long line of theoretical research on this problem begun by Flajolet...
Daniel M. Kane, Jelani Nelson, David P. Woodruff