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The Randomized Dependence Coefficient

29 April 2013
David Lopez-Paz
Philipp Hennig
ArXiv (abs)PDFHTML
Abstract

We introduce the Randomized Dependence Coefficient (RDC), a novel measure of non-linear dependence between random variables of arbitrary dimension. Throughout theoretical analysis and empirical evaluation, it is shown that RDC is a highly-scalable (running over millions of samples in seconds), very easy to implement (five lines of R code) estimator of the well-known Hirschfeld-Gebelein-R\'enyi's Maximum Correlation Coefficient.

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