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Optimal Transport Tools (OTT): A JAX Toolbox for all things Wasserstein

Authors :
Cuturi, Marco
Meng-Papaxanthos, Laetitia
Tian, Yingtao
Bunne, Charlotte
Davis, Geoff
Teboul, Olivier
Publication Year :
2022
Publisher :
arXiv, 2022.

Abstract

Optimal transport tools (OTT-JAX) is a Python toolbox that can solve optimal transport problems between point clouds and histograms. The toolbox builds on various JAX features, such as automatic and custom reverse mode differentiation, vectorization, just-in-time compilation and accelerators support. The toolbox covers elementary computations, such as the resolution of the regularized OT problem, and more advanced extensions, such as barycenters, Gromov-Wasserstein, low-rank solvers, estimation of convex maps, differentiable generalizations of quantiles and ranks, and approximate OT between Gaussian mixtures. The toolbox code is available at \texttt{https://github.com/ott-jax/ott}<br />Comment: 4 pages

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....0d6c3f65a7477e5a790262d1a4c2c210
Full Text :
https://doi.org/10.48550/arxiv.2201.12324