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Tools for Computational Optimal Transport in R

We introduce T4transport, an R package designed as a computational toolkit that compiles a collection of algorithms in the field of optimal transport.

Installation

  • Option 1 : released version from CRAN.
install.packages("T4transport")
  • Option 2 : development version from GitHub.
# install.packages("devtools")
devtools::install_github("kisungyou/T4transport")

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Version

Install

install.packages('T4transport')

Monthly Downloads

488

Version

0.1.5

License

MIT + file LICENSE

Maintainer

Kisung You

Last Published

November 13th, 2025

Functions in T4transport (0.1.5)

pwbary

Procrustes-Wasserstein Barycenter
rbary23L

Free-Support Barycenter by von Lindheim (2023)
histbary14C

Barycenter of Histograms by Cuturi and Doucet (2014)
gaussmedpd

Wasserstein Median of Gaussian Distributions in \(\mathbb{R}^p\)
ipot

Wasserstein Distance via Inexact Proximal Point Method
imagebary14C

Barycenter of Images according to Cuturi & Doucet (2014)
histbary15B

Barycenter of Histograms by Benamou et al. (2015)
pwdist

Procrustes-Wasserstein Distance
gaussvis2d

Sampling from a Bivariate Gaussian Distribution for Visualization
imagebary15B

Barycenter of Images according to Benamou et al. (2015)
sinkhorn

Wasserstein Distance via Entropic Regularization and Sinkhorn Algorithm
wassboot

Wasserstein Distance Estimation with Boostrapping
rbaryGD

Free-Support Barycenter by Riemannian gradient descent
swdist

Sliced Wasserstein Distance
rmedIRLS

Free-Support Median by IRLS
rmedPF

Free-Support Median by Particle-Flow Algorithm
wasserstein

Wasserstein Distance via Linear Programming
digit3

MNIST Images of Digit 3
fiedler

Compute the fiedler vector of a point cloud
gaussbary1d

Barycenter of Gaussian Distributions in \(\mathbb{R}\)
gaussmed1d

Wasserstein Median of Gaussian Distributions in \(\mathbb{R}\)
gaussbarypd

Barycenter of Gaussian Distributions in \(\mathbb{R}^p\)
digits

MNIST Images of All Digits
fbary15B

Fixed-Support Barycenter by Benamou et al. (2015)
fbary14C

Fixed-Support Barycenter by Cuturi & Doucet (2014)
ecdfmed

Wasserstein Median of Empirical CDFs
ecdfbary

Barycenter of Empirical CDFs