论文标题
对现代计算最佳运输方法的评论，并在生物医学研究中应用
A Review on Modern Computational Optimal Transport Methods with Applications in Biomedical Research
论文作者
论文摘要
从18世纪开始，最佳运输一直是数学中最令人兴奋的主题之一。作为在两种概率措施之间运输的强大工具，如今，最佳运输方法在现代数据科学应用的显着扩散中得到了重现。为了应对大数据挑战，在最近的十年中已经开发了各种计算工具，以加速用于最佳运输方法的计算。在这篇综述中，我们提出了一些尖端的计算最佳传输方法，重点是基于正则化的方法和基于投影的方法。我们讨论了他们在生物医学研究中的现实应用。
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.
