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Distance correlation has gained much recent attention in the data science community: the sample statistic is straightforward to compute and asymptotically equals zero if and only if independence, making it an ideal choice to discover any type of dependency structure given sufficient sample size.
Graph independence testing: Applications in multi-connectomics
Xiong, J., Arroyo, J., Shen, C., and Vogelstein, J. T. (2020) · 1906
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Consistent and powerful independence testing for time series
Mehta, R., Shen, C., Ting, X., and Vogelstein, J. T. (2019) · 1908
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Multivariate multisample multiway nonparametric manova
Panda, S., Shen, C., Priebe, C. E., and Vogelstein, J. T. (2021) · 1910
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Hierarchical clustering via joint between-within distances: Extending ward’s minimum variance method
Szekely, G. and Rizzo, M. (2005) · 2005
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Kernel measures of conditional dependence
Fukumizu, K., Gretton, A., Sun, X., and Schölkopf, B. (2007) · 2007
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Measuring and testing independence by correlation of distances
Szekely, G., Rizzo, M., and Bakirov, N. (2007) · 2007
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Brownian distance covariance
Szekely, G. and Rizzo, M. (2009) · 2009
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Consistent nonparametric tests of independence
Gretton, A. and Gyorfi, L. (2010) · 2010
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DISCO analysis: A nonparametric extension of analysis of variance
Rizzo, M. and Szekely, G. (2010) · 2010
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Mutant proteins as cancer-specific biomarkers
Wang, Q., Chaerkady, R., Wu, J., Hwang, H. J., Papadopoulos, N., Kopelovich, L., Maitra, A., Matthaei, H., Eshleman, J. R., Hruban, R. H., Kinzler, K. W., Pandey, A., and Vogelstein, B. (2011) · 2011
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Advances in biomarker research for pancreatic cancer
Bhat, K., Wang, F., Ma, Q., Li, Q., Mallik, S., chen Hsieh, T., and Wu, E. (2012) · 2012
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Feature screening via distance correlation learning
Li, R., Zhong, W., and Zhu, L. (2012) · 2012
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Measuring nonlinear dependence in time-series, a distance correlation approach
Zhou, Z. (2012) · 2012
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Ultrahigh dimensional feature screening via rkhs embeddings
Balasubramanian, K., Sriperumbudur, B., and Lebanon, G. (2013) · 2013
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A consistent multivariate test of association based on ranks of distances
Heller, R., Heller, Y., and Gorfine, M. (2013) · 2013
Cited alongside, same era.
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., Sriperumbudur, B., Gretton, A., and Fukumizu, K. (2013) · 2013
Cited alongside, same era.
Fast computing for distance covariance
Huo, X. and Szekely, G. (2016) · 2016
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Energy distance
Rizzo, M. and Szekely, G. (2016) · 2016
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Testing independence for multivariate time series via the auto-distance correlation matrix
Fokianos, K. and Pitsillou, M. (2018) · 2018
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Large-scale kernel methods for independence testing
Zhang, Q., Filippi, S., Gretton, A., and Sejdinovic, D. (2018) · 2018
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A fast algorithm for computing distance correlation
Chaudhuri, A. and Hu, W. (2019) · 2019
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Discovering and deciphering relationships across disparate data modalities
Vogelstein, J. T., Wang, Q., Bridgeford, E., Priebe, C. E., Maggioni, M., and Shen, C. (2019) · 2019
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The distance correlation t-test of independence in high dimension
Szekely, G. and Rizzo, M. (2013) · 2013
Cited alongside, same era.
Partial distance correlation with methods for dissimilarities
Szekely, G. and Rizzo, M. (2014) · 2014
Cited alongside, same era.
Conditional Distance Correlation
Wang, X., Pan, W., Hu, W., Tian, Y., and Zhang, H. (2015) · 2015
Cited alongside, same era.
An iterative approach to distance correlation-based sure independence screening
Zhong, W. and Zhu, L. (2015) · 2015
Cited alongside, same era.
Consistent distribution-free
Heller, R., Heller, Y., Kaufman, S., Brill, B., and Gorfine, M. (2016) · 2016
Cited alongside, same era.
Notes on regression and inheritance in the case of two parents
Pearson, K. (1895)
Cited in the paper.
Signal subgraph estimation via iterative vertex screening
Wang, S., Shen, C., Badea, A., Priebe, C. E., and Vogelstein, J. T. (2019) · 2019
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From distance correlation to multiscale graph correlation
Shen, C., Priebe, C. E., and Vogelstein, J. T. (2020) · 2020
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The exact equivalence of distance and kernel methods in hypothesis testing
Shen, C. and Vogelstein, J. T. (2021) · 2021
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Kernel methods for measuring independence
Gretton, A., Herbrich, R., Smola, A., Bousquet, O., and Scholkopf, B. (2005) · 2075
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