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On the Sample Complexity of Compressed Counting

Published 8 Oct 2009 in cs.DS, cs.IT, and math.IT | (0910.1403v1)

Abstract: Compressed Counting (CC), based on maximally skewed stable random projections, was recently proposed for estimating the p-th frequency moments of data streams. The case p->1 is extremely useful for estimating Shannon entropy of data streams. In this study, we provide a very simple algorithm based on the sample minimum estimator and prove a much improved sample complexity bound, compared to prior results.

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