# Tools for Computational Optimal Transport

## Documentation for package ‘T4transport’ version 0.1.2

- DESCRIPTION file.

## Help Pages

bary14C | Barycenter by Cuturi & Doucet (2014)
bary14Cdist | Barycenter by Cuturi & Doucet (2014)
bary15B | Barycenter by Benamou et al. (2015)
bary15Bdist | Barycenter by Benamou et al. (2015)
digit3 | MNIST Images of Digit 3
digits | MNIST Images of All Digits
ecdfbary | Barycenter of Empirical CDFs
ecdfmed | Wasserstein Median of Empirical CDFs
gaussbary1d | Barycenter of Gaussian Distributions in \mathbf{R}
gaussbarypd | Barycenter of Gaussian Distributions in \mathbf{R}^p
gaussmed1d | Wasserstein Median of Gaussian Distributions in \mathbf{R}
gaussmedpd | Wasserstein Median of Gaussian Distributions in \mathbf{R}^p
gaussvis2d | Sampling from a Bivariate Gaussian Distribution for Visualization
histbary14C | Barycenter of Histograms by Cuturi & Doucet (2014)
histbary15B | Barycenter of Histograms by Benamou et al. (2015)
histmed22Y | Wasserstein Median of Histograms by You et al. (2022)
imagebary14C | Barycenter of Images according to Cuturi & Doucet (2014)
imagebary15B | Barycenter of Images according to Benamou et al. (2015)
imagemed22Y | Wasserstein Median of Images by You et al. (2022)
ipot | Wasserstein Distance by Inexact Proximal Point Method
ipotD | Wasserstein Distance by Inexact Proximal Point Method
sinkhorn | Wasserstein Distance by Entropic Regularization
sinkhornD | Wasserstein Distance by Entropic Regularization
swdist | Sliced Wasserstein Distance
wasserstein | Wasserstein Distance between Empirical Measures
wassersteinD | Wasserstein Distance between Empirical Measures