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Estimating Differential Entropy using Recursive Copula Splitting

Estimating Differential Entropy using Recursive Copula Splitting

A method for estimating the Shannon differential entropy of multidimensional random variables using independent samples is described. The method is based on decomposing the distribution into a product of the marginal distributions and the joint dependency, also known as the copula. The entropy of marginals is estimated using one-dimensional methods. …