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arXiv · 1004.3782

On Practical Algorithms for Entropy Estimation and the Improved Sample Complexity of Compressed Counting

Ping Li
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Abstract

Estimating the p-th frequency moment of data stream is a very heavily studied problem. The problem is actually trivial when p = 1, assuming the strict Turnstile model. The sample complexity of our proposed algorithm is essentially O(1) near p=1. This is a very large improvement over the previously believed O(1/eps^2) bound. The proposed algorithm makes the long-standing problem of entropy estimation an easy task, as verified by the experiments included in the appendix.

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Ping Li. 2010-04-21. On Practical Algorithms for Entropy Estimation and the Improved Sample Complexity of Compressed Counting. https://arxiv.org/abs/1004.3782

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