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Recent Advances in Optimal Transport for Machine Learning

Machine Learning 2024-08-22 v2 Probability Machine Learning

Abstract

Recently, Optimal Transport has been proposed as a probabilistic framework in Machine Learning for comparing and manipulating probability distributions. This is rooted in its rich history and theory, and has offered new solutions to different problems in machine learning, such as generative modeling and transfer learning. In this survey we explore contributions of Optimal Transport for Machine Learning over the period 2012 -- 2023, focusing on four sub-fields of Machine Learning: supervised, unsupervised, transfer and reinforcement learning. We further highlight the recent development in computational Optimal Transport and its extensions, such as partial, unbalanced, Gromov and Neural Optimal Transport, and its interplay with Machine Learning practice.

Keywords

Cite

@article{arxiv.2306.16156,
  title  = {Recent Advances in Optimal Transport for Machine Learning},
  author = {Eduardo Fernandes Montesuma and Fred Ngolè Mboula and Antoine Souloumiac},
  journal= {arXiv preprint arXiv:2306.16156},
  year   = {2024}
}

Comments

20 pages,15 figures,under review

R2 v1 2026-06-28T11:16:45.499Z