Fetching the paper…
Reading the bibliography…
We derive distributional limits for empirical transport distances between probability measures supported on countable sets.
On a space of completely additive functions
Kantorovich, L. V. and Rubinstein, G. S. (1958) · 1958
Earlier work this paper cites.
Facets and vertices of transportation polytopes
Klee, V. and Witzgall, C. (1968) · 1967
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.
Asymptotic distributions of certain test criteria of normality
de Wet, T. and Venter, J. H. (1972) · 1972
Earlier work this paper cites.
A note on asymptotic joint normality
Mallows, C. L. (1972) · 1972
Earlier work this paper cites.
Espaces de cotype p p , 0 < p ≤ 2 0<p\leq 2
Maurey, B. (1972–1973) · 1973
Earlier work this paper cites.
Central limit theorem and related questions in Banach space
Jain, N. C. (1977) · 1976
Earlier work this paper cites.
A new algorithm for the assignment problem
Bertsekas, D. P. (1981) · 1981
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.
Degeneracy in transportation problems
Hung, M. S., Rom, W. O., and Waren, A. D. (1986) · 1986
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.
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.
Stein’s method and point process approximation
Barbour, A. D. and Brown, T. C. (1992) · 1992
Earlier work this paper cites.
Auction algorithms for network flow problems: A tutorial introduction
Bertsekas, D. P. (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.
A faster strongly polynomial minimum cost flow algorithm
Orlin, J. B. (1993) · 1993
Earlier work this paper cites.
On the rate of convergence in the CLT with respect to the Kantorovich metric
Rachev, S. T. and Rüschendorf, L. (1994) · 1993
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 ≥ \geq 3
Talagrand, M. (1994) · 1994
Earlier work this paper cites.
Theory of Point Estimation
Lehmann, E. and Casella, G. (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.
Perturbation Analysis of Optimization Problems
Bonnans, J. F. and Shapiro, A. (2000) · 2000
Cited alongside, same era.
Contributions of empirical and quantile processes to the asymptotic theory of goodness-of-fit tests
del Barrio, E., Cuesta-Albertos, J. A., and Matrán, C. (2000) · 2000
Cited alongside, same era.
The earth mover’s distance as a metric for image retrieval
Rubner, Y., Tomasi, C., and Guibas, L. J. (2000) · 2000
Cited alongside, same era.
Topics in optimal transportation
Villani, C. (2003) · 2003
Cited alongside, same era.
Delta method, infinite dimensional
Römisch, W. (2004) · 2004
Cited alongside, same era.
Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
Weed, J. and Bach, F. (2017) · 2004
Cited alongside, same era.
The phylogenetic Kantorovich–Rubinstein metric for environmental sequence samples
Evans, S. N. and Matsen, F. A. (2012) · 2012
Later among the works it cites.
Drift estimation for single marker switching based imaging schemes
Geisler, C., Hotz, T., Schönle, A., Hell, S. W., Munk, A., and Egner, A. (2012) · 2012
Later among the works it cites.
Sinkhorn distances: Lightspeed computation of optimal transport
Cuturi, M. (2013) · 2013
Later among the works it cites.
One-dimensional empirical measures, order statistics and Kantorovich transport distances
Bobkov, S. and Ledoux, M. (2014) · 2014
Later among the works it cites.
On the mean speed of convergence of empirical and occupation measures in Wasserstein distance
Boissard, E. and Gouic, T. L. (2014) · 2014
Later among the works it cites.
Precisely and accurately localizing single emitters in fluorescence microscopy
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Asymptotics for l 2 l^{2} 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
Cited alongside, same era.
On Hadamard differentiability in k-sample semiparametric models—with applications to the assessment of structural relationships
Freitag, G. and Munk, A. (2005) · 2005
Cited alongside, same era.
Central limit theorem and convergence to stable laws in Mallows distance
Johnson, O. and Samworth, R. (2005) · 2005
Cited alongside, same era.
Imaging intracellular fluorescent proteins at nanometer resolution
Betzig, E., Patterson, G. H., Sougrat, R., Lindwasser, O. W., Olenych, S., Bonifacino, J. S., Davidson, M. W., Lippincott-Schwartz, J., and Hess, H. F. (2006) · 2006
Cited alongside, same era.
Sub-diffraction-limit imaging by stochastic optical reconstruction microscopy (STORM)
Rust, M. J., Bates, M., and Zhuang, X. (2006) · 2006
Cited alongside, same era.
Fluorescence nanoscopy in whole cells by asynchronous localization of photoswitching emitters
Egner, A., Geisler, C., von Middendorff, C., Bock, H., Wenzel, D., Medda, R., Andresen, M., Stiel, A. C., Jakobs, S., Eggeling, C., Schönle, A., and Hell, S. W. (2007) · 2007
Cited alongside, same era.
Deschout, H., Zanacchi, F. C., Mlodzianoski, M., Diaspro, A., Bewersdorf, J., Hess, S. T., and Braeckmans, K. (2014) · 2014
Later among the works it cites.
Error bounds for Metropolis–Hastings algorithms applied to perturbations of Gaussian measures in high dimensions
Eberle, A. (2014) · 2014
Later among the works it cites.
On the rate of convergence in Wasserstein distance of the empirical measure
Fournier, N. and Guillin, A. (2014) · 2014
Later among the works it cites.
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
Later among the works it cites.
Modern statistical challenges in high-resolution fluorescence microscopy
Aspelmeier, T., Egner, A., and Munk, A. (2015) · 2015
Later among the works it cites.
Sliced and Radon Wasserstein barycenters of measures
Bonneel, N., Rabin, J., Peyré, G., and Pfister, H. (2015) · 2015
Later among the works it cites.
Dedecker, J. and Merlevede, F. (2015) · 2015
Later among the works it cites.
Perturbation theory for Markov chains via Wasserstein distance
Rudolf, D. and Schweizer, N. (2015) · 2015
Later among the works it cites.
Convolutional Wasserstein distances: Efficient optimal transportation on geometric domains
Solomon, J., De Goes, F., Peyré, G., Cuturi, M., Butscher, A., Nguyen, A., Du, T., and Guibas, L. (2015) · 2015
Later among the works it cites.
Drift estimation in sparse sequential dynamic imaging: with application to nanoscale fluorescence microscopy
Hartmann, A., Huckemann, S., Dannemann, J., Laitenberger, O., Geisler, C., Egner, A., and Munk, A. (2016) · 2016
Later among the works it cites.
A weighted approximation approach to the study of the empirical wasserstein distance
Mason, D. M. (2016) · 2016
Later among the works it cites.
Amplitude and phase variation of point processes
Panaretos, V. M. and Zemel, Y. (2016) · 2016
Later among the works it cites.
Limit laws of the empirical Wasserstein distance: Gaussian distributions
Rippl, T., Munk, A., and Sturm, A. (2016) · 2016
Later among the works it cites.
Fast dictionary learning with a smoothed Wasserstein loss
Rolet, A., Cuturi, M., and Peyré, G. (2016) · 2016
Later among the works it cites.
A sparse multiscale algorithm for dense optimal transport
Schmitzer, B. (2016) · 2016
Later among the works it cites.
Central Limit Theorems for empirical transportation cost in general dimension
del Barrio, E. and Loubes, J.-M. (2017) · 2017
Closest in time.
DOTmark – a benchmark for discrete optimal transport
Schrieber, J., Schuhmacher, D., and Gottschlich, C. (2017) · 2017
Closest in time.
Inference for empirical Wasserstein distances on finite spaces
Sommerfeld, M. and Munk, A. (2018) · 2018
Closest in time.
Computational Strategies for Inference Based on Empirical Optimal Transport
Tameling, C. and Munk, A. (2018) · 2018
Closest in time.