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Discrete Optimal Transport Library

Build Status

This repository contains basic scripts for computing Kantorovich.Wasserstein distances. The long term objective is to develop Discrete Optimal Transport Algorithms.

Notebooks

Data Notebook Link
[2020/10/23] Two LP models for computing KW-distances Open In Colab

Early stage of the project

The project started in 2016 and it containes old python scripts to compute the distances between pair of images of the DOTMark benchmarks.

To run the Python scripts you need the following libraries:

To build the library from C++ source, you need the following external libraries:

Reference

[1] Bassetti F., Gualandi S., Veneroni M. On the Computation of Kantorovich-Wasserstein Distances between 2D-Histograms by Uncapacitated Minimum Cost Flows. Available on arXiv. Submitted on April, 2nd, 2018.

MIT License

Copyright (c) 2017-2020, by Stefano Gualandi

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.