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Distance-based tests, also called "energy statistics", are leading methods for two-sample and independence tests from the statistics community.
Graph independence testing: Applications in multi-connectomics
Xiong, J., J. Arroyo, C. Shen, and J. T. Vogelstein (2020) · 1906
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Independence testing for multivariate time series
Mehta, R., J. Chung, C. Shen, X. Ting, and J. T. Vogelstein (2020) · 1908
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Multivariate multisample multiway nonparametric manova
Panda, S., C. Shen, C. E. Priebe, and J. T. Vogelstein (2020) · 1910
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The chi-square test of distance correlation
Shen, C. and J. T. Vogelstein (2020) · 1912
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Normalized cuts and image segmentation
Shi, J. and J. Malik (2000) · 2000
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On spectral clustering: analysis and an algorithm
Ng, A., M. Jordan, and Y. Weiss (2001) · 2001
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High-dimensional independence testing and maximum marginal correlation
Shen, C. (2020) · 2001
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Permutation, Parametric, and Bootstrap Tests of Hypotheses
Good, P. (2005) · 2005
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Hierarchical clustering via joint between-within distances: Extending ward’s minimum variance method
Szekely, G. and M. Rizzo (2005) · 2005
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Universal kernels
Micchelli, C., Y. Xu, and H. Zhang (2006) · 2006
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Kernel measures of conditional dependence
Fukumizu, K., A. Gretton, X. Sun, and B. Schölkopf (2007) · 2007
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Supervised feature selection via dependence estimation
Song, L., A. Smola, A. Gretton, K. Borgwardt, and J. Bedo (2007) · 2007
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Measuring and testing independence by correlation of distances
Szekely, G., M. Rizzo, and N. Bakirov (2007) · 2007
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A tutorial on spectral clustering
von Luxburg, U. (2007) · 2007
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Brownian distance covariance
Szekely, G. and M. Rizzo (2009) · 2009
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Consistent nonparametric tests of independence
Gretton, A. and L. Gyorfi (2010) · 2010
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DISCO analysis: A nonparametric extension of analysis of variance
Rizzo, M. and G. Szekely (2010) · 2010
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Feature screening via distance correlation learning
Li, R., W. Zhong, and L. Zhu (2012) · 2012
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Measuring nonlinear dependence in time‐series, a distance correlation approach
Zhou, Z. (2012) · 2012
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An iterative approach to distance correlation-based sure independence screening
Zhong, W. and L. Zhu (2015) · 2015
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Consistent distribution-free k k -sample and independence tests for univariate random variables
Heller, R., Y. Heller, S. Kaufman, B. Brill, and M. Gorfine (2016) · 2016
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Energy distance
Rizzo, M. and G. Szekely (2016) · 2016
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Projection correlation between two random vectors
Zhu, L., K. Xu, R. Li, and W. Zhong (2017) · 2017
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Testing independence for multivariate time series via the auto-distance correlation matrix
Fokianos, K. and M. Pitsillou (2018) · 2018
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Robust multivariate nonparametric tests via projection-pursuit
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Balasubramanian, K., B. Sriperumbudur, and G. Lebanon (2013) · 2013
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Canonical correlation analysis based on hilbert-schmidt independence criterion and centered kernel target alignment
Chang, B., U. Kruger, R. Kustra, and J. Zhang (2013) · 2013
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A consistent multivariate test of association based on ranks of distances
Heller, R., Y. Heller, and M. Gorfine (2013) · 2013
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Distance covariance in metric spaces
Lyons, R. (2013) · 2013
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Equivalence of distance-based and rkhs-based statistics in hypothesis testing
Sejdinovic, D., B. Sriperumbudur, A. Gretton, and K. Fukumizu (2013) · 2013
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Partial distance correlation with methods for dissimilarities
Szekely, G. and M. Rizzo (2014) · 2014
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Kim, I., S. Balakrishnan, and L. Wasserman (2018) · 2018
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A generic sure independence screening procedure
Pan, W., X. Wang, W. Xiao, and H. Zhu (2018) · 2018
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Large-scale kernel methods for independence testing
Zhang, Q., S. Filippi, A. Gretton, and D. Sejdinovic (2018) · 2018
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Network dependence testing via diffusion maps and distance-based correlations
Lee, Y., C. Shen, C. E. Priebe, and J. T. Vogelstein (2019) · 2019
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Discovering and deciphering relationships across disparate data modalities
Vogelstein, J. T., Q. Wang, E. Bridgeford, C. E. Priebe, M. Maggioni, and C. Shen (2019) · 2019
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Signal subgraph estimation via iterative vertex screening
Wang, S., C. Shen, A. Badea, C. E. Priebe, and J. T. Vogelstein (2019) · 2019
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From distance correlation to multiscale graph correlation
Shen, C., C. E. Priebe, and J. T. Vogelstein (2020) · 2020
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Kernel methods for measuring independence
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