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Optimal Approximations of the Frequency Moments

Author(s)
Indyk, Piotr; Woodruff, David
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Abstract
We give a one-pass, O~(m^{1-2/k})-space algorithm for estimating the k-th frequency moment of a data stream for any real k>2. Together with known lower bounds, this resolves the main problem left open by Alon, Matias, Szegedy, STOC'96. Our algorithm enables deletions as well as insertions of stream elements.
Date issued
2004-07-02
URI
http://hdl.handle.net/1721.1/6741
Other identifiers
AIM-2004-014
Series/Report no.
AIM-2004-014
Keywords
AI

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  • AI Memos (1959 - 2004)

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