论文标题
弱的最佳运输，不均衡的内核
Weak optimal transport with unnormalized kernels
论文作者
论文摘要
我们引入了弱最佳传输问题的新变体，其中质量通过不当核从一个空间分布到另一个空间。我们提供了足够的条件来实现原始成就，并证明了该运输问题的双重公式。我们还获得了一些特定成本功能的双重成就条件。作为副产品，我们以凸出的1-源函数定义的随机顺序表征，本着strassen定理的精神构成凸的统治。
We introduce a new variant of the weak optimal transport problem where mass is distributed from one space to the other through unnormalized kernels. We give sufficient conditions for primal attainment and prove a dual formula for this transport problem. We also obtain dual attainment conditions for some specific cost functions. As a byproduct we obtain a transport characterization of the stochastic order defined by convex positively 1-homogenous functions, in the spirit of Strassen theorem for convex domination.
