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The Wasserstein distance is an attractive tool for data analysis but statistical inference is hindered by the lack of distributional limits.
On a space of completely additive functions
Kantorovich, L. V. and Rubinstein, G. S. (1958) · 1958
Earlier work this paper cites.
Markov processes over denumerable products of spaces describing large system of automata
Vasershtein, L. N. (1969) · 1969
Earlier work this paper cites.
Prescribing a system of random variables by conditional distributions
Dobrushin, R. (1970) · 1970
Earlier work this paper cites.
A note on asymptotic joint normality
Mallows, C. L. (1972) · 1972
Earlier work this paper cites.
Some asymptotic theory for the bootstrap
Bickel, P. J. and Freedman, D. A. (1981) · 1981
Earlier work this paper cites.
On optimal matchings
Ajtai, M., Komlós, J., and Tusnády, G. (1984) · 1984
Earlier work this paper cites.
Directional differentiability of the optimal value function in a nonlinear programming problem
Rockafellar, R. T. (1984) · 1984
Earlier work this paper cites.
The Monge-Kantorovich mass transference problem and its stochastic applications
Rachev, S. T. (1985) · 1985
Earlier work this paper cites.
Empirical Processes with Applications to Statistics
Shorack, G. R. and Wellner, J. A. (1986) · 1986
Earlier work this paper cites.
Density Estimation for Statistics and Data Analysis
Silverman, B. W. (1986) · 1986
Earlier work this paper cites.
Pathologies of some Minimum Distance Estimators
Donoho, D. L. and Liu, R. C. (1988) · 1988
Earlier work this paper cites.
Probability, Random Processes, and Ergodic Properties
Gray, R. M. (1988) · 1988
Earlier work this paper cites.
Non- and semi-parametric maximum likelihood estimators and the von Mises method (Part 1) [with discussion and reply]
Gill, R. D., Wellner, J. A., and Præstgaard, J. (1989) · 1989
Earlier work this paper cites.
On a formula for the L2 Wasserstein metric between measures on Euclidean and Hilbert spaces
Gelbrich, M. (1990) · 1990
Earlier work this paper cites.
On concepts of directional differentiability
Shapiro, A. (1990) · 1990
Earlier work this paper cites.
Asymptotic analysis of stochastic programs
Shapiro, A. (1991) · 1991
Earlier work this paper cites.
Perturbation analysis of optimization problems in Banach spaces
Shapiro, A. (1992) · 1992
Earlier work this paper cites.
Matching random samples in many dimensions
Talagrand, M. (1992) · 1992
Earlier work this paper cites.
On nondifferentiable functions and the bootstrap
Dümbgen, L. (1993) · 1993
Earlier work this paper cites.
Two-Sample Test Statistics for Measuring Discrepancies Between Two Multivariate Probability Density Functions Using Kernel-Based Density Estimates
Anderson, N. H., Hall, P., and Titterington, D. M. (1994) · 1994
Earlier work this paper cites.
Mean rates of convergence of empirical measures in the Wasserstein metric
Horowitz, J. and Karandikar, R. L. (1994) · 1994
Earlier work this paper cites.
The transportation cost from the uniform measure to the empirical measure in dimension
Talagrand, M. (1994) · 1994
Earlier work this paper cites.
Controlling the false discovery rate: A practical and powerful approach to multiple testing
Benjamini, Y. and Hochberg, Y. (1995) · 1995
Earlier work this paper cites.
Weak Convergence
Van der Vaart, A. W. and Wellner, J. A. (1996) · 1996
Earlier work this paper cites.
Advances in Sensitivity Analysis and Parametric Programming
Gal, T., Greenberg, H. J., and Hillier, F. S., editors (1997) · 1997
Earlier work this paper cites.
The variational formulation of the Fokker–Planck Equation
Jordan, R., Kinderlehrer, D., and Otto, F. (1998) · 1998
Earlier work this paper cites.
Nonparametric validation of similar distributions and assessment of goodness of fit
Munk, A. and Czado, C. (1998) · 1998
Earlier work this paper cites.
Mass Transportation Problems: Volume I: Theory
Rachev, S. T. and Rüschendorf, L. (1998) · 1998
Earlier work this paper cites.
Tests of goodness of fit based on the L2-Wasserstein distance
Del Barrio, E., Cuesta-Albertos, J. A., Matrán, C., and Rodríguez-Rodríguez, J. M. (1999) · 1999
Earlier work this paper cites.
Synthetic fingerprint-image generation
Cappelli, R., Erol, A., Maio, D., and Maltoni, D. (2000) · 2000
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Shape recognition via Wasserstein distance
Gangbo, W. and McCann, R. J. (2000) · 2000
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The earth mover’s distance as a metric for image retrieval
Rubner, Y., Tomasi, C., and Guibas, L. J. (2000) · 2000
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The geometry of dissipative evolution equations: The porous medium equation
Otto, F. (2001) · 2001
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FVC2002: Second fingerprint verification competition
Maio, D., Maltoni, D., Cappelli, R., Wayman, J. L., and Jain, A. K. (2002) · 2002
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Lecture Notes on Optimal Transport Problems
Ambrosio, L. (2003) · 2003
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Topics in Optimal Transportation
Villani, C. (2003) · 2003
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Ricci Curvature of Finite Markov Chains via Convexity of the Entropy
Erbar, M. and Maas, J. (2012) · 2012
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The phylogenetic Kantorovich–Rubinstein metric for environmental sequence samples
Evans, S. N. and Matsen, F. A. (2012) · 2012
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Classification of periodic activities using the Wasserstein distance
Oudre, L., Jakubowicz, J., Bianchi, P., and Simon, C. (2012) · 2012
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Geodesic PCA in the Wasserstein space
Bigot, J., Gouet, R., Klein, T., and López, A. (2013) · 2013
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Perturbation Analysis of Optimization Problems
Bonnans, J. F. and Shapiro, A. (2013) · 2013
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Sinkhorn distances: Lightspeed computation of optimal transport
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Römisch, W. (2004) · 2004
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Convergence of the empirical process in Mallows distance, with an application to bootstrap performance
Samworth, R. and Johnson, O. (2004) · 2004
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Asymptotics for L2 functionals of the empirical quantile process, with applications to tests of fit based on weighted Wasserstein distances
Del Barrio, E., Giné, E., and Utzet, F. (2005) · 2005
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On Hadamard differentiability in k-sample semiparametric models—with applications to the assessment of structural relationships
Freitag, G. and Munk, A. (2005) · 2005
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Central limit theorem and convergence to stable laws in Mallows distance
Johnson, O. and Samworth, R. (2005) · 2005
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An exact distribution-free test comparing two multivariate distributions based on adjacency
Rosenbaum, P. R. (2005) · 2005
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Cuturi, M. (2013) · 2013
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Displacement convexity of entropy and related inequalities on graphs
Gozlan, N., Roberto, C., Samson, P.-M., and Tetali, P. (2013) · 2013
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A geometric study of Wasserstein spaces: Ultrametrics
Kloeckner, B. R. (2013) · 2013
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Quantifying spatial relationships from whole retinal images
Ruttenberg, B. E., Luna, G., Lewis, G. P., Fisher, S. K., and Singh, A. K. (2013) · 2013
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One-dimensional empirical measures, order statistics and Kantorovich transport distances
Bobkov, S. and Ledoux, M. (2014) · 2014
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On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
Boissard, E. and Gouic, T. L. (2014) · 2014
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Fast computation of Wasserstein barycenters
Cuturi, M. and Doucet, A. (2014) · 2014
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Inference on directionally differentiable functions
Fang, Z. and Santos, A. (2014) · 2014
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On the rate of convergence in Wasserstein distance of the empirical measure
Fournier, N. and Guillin, A. (2014) · 2014
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Separating the real from the synthetic: Minutiae histograms as fingerprints of fingerprints
Gottschlich, C. and Huckemann, S. (2014) · 2014
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The Shortlist method for fast computation of the earth mover’s distance and finding optimal solutions to transportation problems
Gottschlich, C. and Schuhmacher, D. (2014) · 2014
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R-package transport: Optimal transport in various forms - https://cran.r-project.org/package=transport
Schuhmacher, D., Gottschlich, C., and Baehre, B. (2014) · 2014
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A parametric registration model for warped distributions with Wasserstein’s distance
Agulló-Antolín, M., Cuesta-Albertos, J. A., Lescornel, H., and Loubes, J.-M. (2015) · 2015
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Distribution’s template estimate with Wasserstein metrics
Boissard, E., Gouic, T. L., and Loubes, J.-M. (2015) · 2015
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Sliced and Radon Wasserstein barycenters of measures
Bonneel, N., Rabin, J., Peyré, G., and Pfister, H. (2015) · 2015
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Del Barrio, E., Lescornel, H., and Loubes, J.-M. (2015) · 2015
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Limit laws of the empirical Wasserstein distance: Gaussian distributions
Rippl, T., Munk, A., and Sturm, A. (2015) · 2015
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Schloss lab 454 standard operating procedure - http://www.mothur.org/wiki/454_SOP - 2015-07-01 17:53:34
Schloss, P. D. (2015) · 2015
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An algorithmic approach to compute principal geodesics in the Wasserstein space
Seguy, V. and Cuturi, M. (2015) · 2015
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Scalable Bayes via barycenter in Wasserstein space
Srivastava, S., Li, C., and Dunson, D. B. (2015) · 2015
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A Weighted Approximation Approach to the Study of the Empirical Wasserstein Distance
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Earth Mover’s Distance (EMD): A True Metric for Comparing Biomarker Expression Levels in Cell Populations
Orlova, D. Y., Zimmerman, N., Meehan, S., Meehan, C., Waters, J., Ghosn, E. E. B., Filatenkov, A., Kolyagin, G. A., Gernez, Y., Tsuda, S., Moore, W., Moss, R. B., Herzenberg, L. A., and Walther, G. (2016) · 2016
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R: A Language and Environment for Statistical Computing
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