Fast Moment Estimation in Data Streams in Optimal Space

23 Jul 2010 · Daniel M. Kane, Jelani Nelson, Ely Porat, David P. Woodruff ·

We give a space-optimal algorithm with update time O(log^2(1/eps)loglog(1/eps)) for (1+eps)-approximating the pth frequency moment, 0 < p < 2, of a length-n vector updated in a data stream. This provides a nearly exponential improvement in the update time complexity over the previous space-optimal algorithm of [Kane-Nelson-Woodruff, SODA 2010], which had update time Omega(1/eps^2).

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Fast Moment Estimation in Data Streams in Optimal Space

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