Geometric Tools Based on Balanced/Unbalanced Optimal Transport

Documentation for package ‘WSGeometry’ version 1.2.1

barycenter_lp	Exact computation of 2-Wasserstein barycenters in R^d using linear programming
bin2d	Bin data onto a grid.
frechet_func	Compute the Frechet functional/The objective value of the barycenter problem
geodesic_pos	Compute Wasserstein geodesics
grid_positions	Generate a 2d grid in [0,1]^2 of given size.
kr_bary	Solves the (2,C)-Barycenter problem between N measures of possibly unequal total mass on R^d.
kr_dist	Compute the p-Kantorovich-Rubinstein distance between two measures of possibly unequal total mass.
location_scatter_bary	Computes the 2-Wasserstein barycenter of location-scatter families of measures
multi_marginal	Solve the multimarginal optimal transport problem by linear programming
plotGeodesic	Plot previously computed Wasserstein geodesics
smear	Split the values of entries in a matrix between a specified area round it.
wasserstein_bary	Compute Wasserstein barycenters
ws_bary_maaipm	Solves the 2-Wasserstein Barycenter problem between N probability measures on R^d using an interior point method.
ws_dist	Compute the p-Wasserstein distance between two measures
ws_logpca	Computes Wasserstein principal components