Efficient Estimation of Mutual Information for Strongly Dependent Variables

7 Nov 2014Shuyang GaoGreg Ver SteegAram Galstyan

We demonstrate that a popular class of nonparametric mutual information (MI) estimators based on k-nearest-neighbor graphs requires number of samples that scales exponentially with the true MI. Consequently, accurate estimation of MI between two strongly dependent variables is possible only for prohibitively large sample size... (read more)

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