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arXiv · 1007.4191

Fast Moment Estimation in Data Streams in Optimal Space

Daniel M. Kane·Jelani Nelson·Ely Porat·David P. Woodruff
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Abstract

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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Daniel M. Kane, Jelani Nelson, Ely Porat, David P. Woodruff. 2010-07-23. Fast Moment Estimation in Data Streams in Optimal Space. https://arxiv.org/abs/1007.4191

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