# Geometric Tools Based on Balanced/Unbalanced Optimal Transport

## Documentation for package ‘WSGeometry’ version 1.2.1

- DESCRIPTION file.

## Help Pages

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