Tools for Computational Optimal Transport

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Documentation for package ‘T4transport’ version 0.1.5

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digit3 MNIST Images of Digit 3
digits MNIST Images of All Digits
ecdfbary Barycenter of Empirical CDFs
ecdfmed Wasserstein Median of Empirical CDFs
fbary14C Fixed-Support Barycenter by Cuturi & Doucet (2014)
fbary14Cdist Fixed-Support Barycenter by Cuturi & Doucet (2014)
fbary15B Fixed-Support Barycenter by Benamou et al. (2015)
fbary15Bdist Fixed-Support Barycenter by Benamou et al. (2015)
fiedler Compute the fiedler vector of a point cloud
gaussbary1d Barycenter of Gaussian Distributions in \mathbb{R}
gaussbarypd Barycenter of Gaussian Distributions in \mathbb{R}^p
gaussmed1d Wasserstein Median of Gaussian Distributions in \mathbb{R}
gaussmedpd Wasserstein Median of Gaussian Distributions in \mathbb{R}^p
gaussvis2d Sampling from a Bivariate Gaussian Distribution for Visualization
histbary14C Barycenter of Histograms by Cuturi and Doucet (2014)
histbary15B Barycenter of Histograms by Benamou et al. (2015)
imagebary14C Barycenter of Images according to Cuturi & Doucet (2014)
imagebary15B Barycenter of Images according to Benamou et al. (2015)
ipot Wasserstein Distance via Inexact Proximal Point Method
ipotD Wasserstein Distance via Inexact Proximal Point Method
pwbary Procrustes-Wasserstein Barycenter
pwdist Procrustes-Wasserstein Distance
rbary23L Free-Support Barycenter by von Lindheim (2023)
rbaryGD Free-Support Barycenter by Riemannian gradient descent
rmedIRLS Free-Support Median by IRLS
rmedPF Free-Support Median by Particle-Flow Algorithm
sinkhorn Wasserstein Distance via Entropic Regularization and Sinkhorn Algorithm
sinkhornD Wasserstein Distance via Entropic Regularization and Sinkhorn Algorithm
swdist Sliced Wasserstein Distance
wassboot Wasserstein Distance Estimation with Boostrapping
wasserstein Wasserstein Distance via Linear Programming
wassersteinD Wasserstein Distance via Linear Programming