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Kernel measures of conditional dependence

Fukumizu, K; Gretton, A; Sun, X; Schölkopf, B; (2009) Kernel measures of conditional dependence. In:

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Abstract

We propose a new measure of conditional dependence of random variables, based on normalized cross-covariance operators on reproducing kernel Hilbert spaces. Unlike previous kernel dependence measures, the proposed criterion does not depend on the choice of kernel in the limit of infinite data, for a wide class of kernels. At the same time, it has a straightforward empirical estimate with good convergence behaviour. We discuss the theoretical properties of the measure, and demonstrate its application in experiments.

Type: Proceedings paper
Title: Kernel measures of conditional dependence
ISBN: 160560352X
URI: http://discovery.ucl.ac.uk/id/eprint/1334323
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