论文标题
在矢量值措施的半差异子分区上
On semi-discrete sub-partitions of vector-valued measures
论文作者
论文摘要
我们介绍了用于矢量值衡量标准及其双重配方的最佳运输概念。在本说明中,我们集中于半分化病例,并显示标量和向量病例之间的一些基本差异。这种差异的一种表现是对于可行的底漆问题的双重问题不存在最佳解决方案的可能性。
We introduce a concept of optimal transport for vector-valued measures and its dual formulation. In this note we concentrate on the semi-discrete case and show some fundamental differences between the scalar and vector cases. A manifestation of this difference is the possibility of non-existence of optimal solution for the dual problem for feasible primer problems.