This repository is the official implementation of the paper On the existence of Monge maps for the Gromov-Wasserstein problem.
Figures from the paper can be reproduced using the monge-gromov-wasserstein.ipynb notebook. Functions are written in utils.py.
You need to install torch (we recommend following the official website instructions) and run pip install -r requirements.txt.
If you use this work for your research, please cite the paper:
@article{dumont2022existence,
title={On the Existence of Monge Maps for the Gromov-Wasserstein Problem},
author={Dumont, Th{\'e}o and Lacombe, Th{\'e}o and Vialard, Fran{\c{c}}ois-Xavier},
journal={arXiv preprint arXiv:2210.11945},
year={2022}
}