Approximate Optimal Transport Between Two-Dimensional Grids

Can be used for optimal transport between two-dimensional grids with respect to separable cost functions of l^p form. It utilizes the Frank-Wolfe algorithm to approximate so-called pivot measures: One-dimensional transport plans that fully describe the full transport, see G. Auricchio (2023) . For these, it offers methods for visualization and to extract the corresponding transport plans and costs. Additionally, related functions for one-dimensional optimal transport are available.


Reference manual

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install.packages("gridOT")

1.0.2 by Michel Groppe, a year ago


Browse source code at https://github.com/cran/gridOT


Authors: Michel Groppe [aut, cre] , Nicholas Bonneel [ctb] , Egerváry Research Group on Combinatorial Optimization [cph]


Documentation:   PDF Manual  


GPL-3 license


Imports Rcpp

Linking to Rcpp, RcppArmadillo


See at CRAN