论文标题
大型典型的最佳运输
Grand-Canonical Optimal Transport
论文作者
论文摘要
我们研究了多 - 边界最佳运输问题的概括,该问题没有固定数量的边际$ n $,并且灵感来自统计力学。它包括优化所有可能的$ n $ s的成本的线性组合,同时固定相应边缘的某种线性组合。
We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals $N$ and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible $N$'s, while fixing a certain linear combination of the corresponding marginals.