English

On the Sample Complexity of Compressed Counting

Data Structures and Algorithms 2009-10-09 v1 Information Theory math.IT

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.

Keywords

Cite

@article{arxiv.0910.1403,
  title  = {On the Sample Complexity of Compressed Counting},
  author = {Ping Li},
  journal= {arXiv preprint arXiv:0910.1403},
  year   = {2009}
}
R2 v1 2026-06-21T13:55:34.493Z