Tam Le, Truyen Nguyen, Dinh Phung, Viet Anh Nguyen
TL;DR本文提出了一种基于图测度空间的概率测度支持的 Sobolev transport metric， 该度量具有计算速度快和负定性等优点，并且可以用于构建正定核，在文本分类和拓扑数据分析中表现良好。
Abstract
optimal transport (OT) is a popular measure to compare probability distributions. However, OT suffers a few drawbacks such as (i) a high complexity for computation, (ii) indefiniteness which limits its applicabil