Hierarchical Sampling from Sketches: Estimating Functions over Data Streams

Authors:
Sumit Ganguly;Lakshminath Bhuvanagiri
Affiliations:
Indian Institute of Technology, Kanpur, India;Google Inc., Bangalore, India
Venue:
Algorithmica
Year:
2009

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Abstract

We present a randomized procedure named Hierarchical Sampling from Sketches (Hss) that can be used for estimating a class of functions over the frequency vector f of update streams of the form . We illustrate this by applying the Hss technique to design nearly space-optimal algorithms for estimating the pth moment of the frequency vector, for real p≥2 and for estimating the entropy of a data stream.