Na Lei, Kehua Su, Li Cui, Shing-Tung Yau, David Xianfeng Gu
TL;DR本文提出一种基于凸几何和最优输运的可变分模型生成方法，通过对 GAN 模型的最优输运视角，表明判别器计算Kantorovich势，生成器计算输运映射
Abstract
In this work, we show the intrinsic relations between optimal transportation and convex geometry, especially the variational approach to solve Alexandrov problem: constructing a convex polytope with prescribed fa