gridOT: 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) <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.
| Version: |
1.0.2 |
| Depends: |
R (≥ 4.1) |
| Imports: |
Rcpp (≥ 1.0.8.3) |
| LinkingTo: |
Rcpp, RcppArmadillo |
| Published: |
2025-09-18 |
| DOI: |
10.32614/CRAN.package.gridOT |
| Author: |
Michel Groppe [aut, cre],
Nicholas Bonneel [ctb],
Egerváry Research Group on Combinatorial Optimization [cph] |
| Maintainer: |
Michel Groppe <michel.groppe at uni-goettingen.de> |
| License: |
GPL-3 |
| NeedsCompilation: |
yes |
| CRAN checks: |
gridOT results |
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