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We provide a unifying framework linking two classes of statistics used in two-sample and independence testing: on the one hand, the energy distances and distance covariances from the statistics literature; on the other, distances between embeddings of distributions to reproducing kernel Hilbert spaces (RKHS), as established in machine learning.
Harmonic Analysis on Semigroups
Berg, C., Christensen, J. P. R., and Ressel, P · 1984
Earlier work this paper cites.
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Arcones, M. and Giné, E · 1992
Earlier work this paper cites.
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Measuring statistical dependence with Hilbert-Schmidt norms
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A fast, consistent kernel two-sample test
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