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This paper is about two related decision theoretic problems, nonparametric two-sample testing and independence testing.
Fourier analysis on groups
Rudin, W · 1962
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Measure Theory
Fremlin, D.H · 2000
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Learning with Kernels
Schölkopf, Bernhard and Smola, A. J · 2002
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Measuring statistical dependence with Hilbert-Schmidt norms
Gretton, A., Bousquet, O., Smola, A., and Schölkopf, B · 2005
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Measuring and testing dependence by correlation of distances
Székely, G.J., Rizzo, M.L., and Bakirov, N.K · 2007
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Testing for homogeneity with kernel fisher discriminant analysis
Eric, Moulines, Bach, Francis R., and Harchaoui, Zaïd · 2008
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Kernel measures of conditional dependence
Fukumizu, K., Gretton, A., Sun, X., and Schölkopf, B · 2008
Cited alongside, same era.
Brownian distance covariance
Székely, Gábor J. and Rizzo, Maria L · 2009
Cited alongside, same era.
Introduction to Nonparametric Estimation
Tsybakov, A.B · 2010
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Finding and Leveraging Structure in Learning Problems
Balakrishnan, S · 2013
Cited alongside, same era.
A kernel two-sample test
Gretton, A., Borgwardt, K., Rasch, M., Schoelkopf, B., and Smola, A
Cited in the paper.
Optimal kernel choice for large-scale two-sample tests
Gretton, A., Sriperumbudur, B., Sejdinovic, D., Strathmann, H., Balakrishnan, S., Pontil, M., and Fukumizu, K
Cited in the paper.
On the empirical estimation of integral probability metrics
Sriperumbudur, B., Fukumizu, K., Gretton, A., Schoelkopf, B., and Lanckriet, G
Cited in the paper.
On the empirical estimation of integral probability metrics
Sriperumbudur, Bharath K., Fukumizu, Kenji, Gretton, Arthur, Schölkopf, Bernhard, and Lanckriet, Gert R. G
Cited in the paper.
Distance covariance in metric spaces
Lyons, R · 2013
Later among the works it cites.
Equivalence of distance-based and RKHS-based statistics in hypothesis testing
Sejdinovic, D., Sriperumbudur, B., Gretton, A., Fukumizu, K., et al · 2013
Later among the works it cites.
The distance correlation t-test of independence in high dimension
Székely, G.J. and Rizzo, M.L · 2013
Later among the works it cites.
Distance correlation
Székely, G.J · 2014
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