English

A Review on Modern Computational Optimal Transport Methods with Applications in Biomedical Research

Machine Learning 2021-05-21 v3 Machine Learning

Abstract

Optimal transport has been one of the most exciting subjects in mathematics, starting from the 18th century. As a powerful tool to transport between two probability measures, optimal transport methods have been reinvigorated nowadays in a remarkable proliferation of modern data science applications. To meet the big data challenges, various computational tools have been developed in the recent decade to accelerate the computation for optimal transport methods. In this review, we present some cutting-edge computational optimal transport methods with a focus on the regularization-based methods and the projection-based methods. We discuss their real-world applications in biomedical research.

Keywords

Cite

@article{arxiv.2008.02995,
  title  = {A Review on Modern Computational Optimal Transport Methods with Applications in Biomedical Research},
  author = {Jingyi Zhang and Wenxuan Zhong and Ping Ma},
  journal= {arXiv preprint arXiv:2008.02995},
  year   = {2021}
}

Comments

22 pages, 7 figures, book chapter