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Optimal Approximations of the Frequency Moments

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.

Identiferoai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/6741
Date02 July 2004
CreatorsIndyk, Piotr, Woodruff, David
Source SetsM.I.T. Theses and Dissertation
Languageen_US
Detected LanguageEnglish
Format18 p., 3705201 bytes, 761567 bytes, application/postscript, application/pdf
RelationAIM-2004-014

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