Approximate Optimal Transport Between Two-Dimensional Grids
Dual Solution of one-dimensional Optimal Transport
gridOT: Approximate Optimal Transport Between Two-Dimensional Grids
North-west-corner Rule
Two-dimensional Grid with Mass
Pivot Measure
Plots for two-dimensional Optimal Transport
Optimal Transport Cost
Cost Matrix for two-dimensional Optimal Transport
Optimal Transport Plan
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) <doi:10.4171/RLM/1026>. 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.