Estimating the Unseen: Improved Estimators for Entropy and other Properties

Recently, [Valiant and Valiant] showed that a class of distributional properties, which includes such practically relevant properties as entropy, the number of distinct elements, and distance metrics between pairs of distributions, can be estimated given a SUBLINEAR sized sample. Specifically, given a sample consisting of independent draws from any distribution over at most n distinct elements, these properties can be estimated accurately using a sample of size O(n / log n)... (read more)

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