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Birthday Estimators Are Uniformly Optimal for Renyi Entropy

Skórski, Maciej
arXiv (All) · Papers
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94a17data-structures-and-algorithmsinformation-theoryprobabilitystatistics-theory
Collisions are a basic probe of unknown distributions, used for testing and for counting substructures in graphs, and they underlie Rényi entropy, a fundamental measure of uncertainty with applications in cryptography, machine learning, physics, and biology. Motivated by this, we study the natural b
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