On the Decreasing Power of Kernel and Distance based Nonparametric Hypothesis Tests in High Dimensions

9 Jun 2014Sashank J. ReddiAaditya RamdasBarnabás PóczosAarti SinghLarry Wasserman

This paper is about two related decision theoretic problems, nonparametric two-sample testing and independence testing. There is a belief that two recently proposed solutions, based on kernels and distances between pairs of points, behave well in high-dimensional settings... (read more)

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