论文标题
经典多网络相关性的外部近似
Outer approximations of classical multi-network correlations
论文作者
论文摘要
我们提出了一个框架，名为“邮政通货膨胀框架”，以获得与经典的多NETWork方案兼容的概率分布集的收敛外近似值。在这里，网络是一个双层的无环图，具有一层经典的随机性，一层代理以及指定代理和源之间连接性的边缘。多网络方案是此类网络的列表，以及使用相同策略的代理子集子集的规范。一组多网络相关的外部近似值提供了证明代理结果分布列表的不可行性的手段。我们此外表明，在数学上，发布的通货膨胀框架等同于标准通货膨胀框架：在这方面，我们的结果可以进一步了解Navascuès和Wolfe的通货膨胀层次结构的融合证明[Arxiv：Arxiv：1707.06476]，并将其扩展到多人NET Works Senariose的情况下。
We propose a framework, named the postselected inflation framework, to obtain converging outer approximations of the sets of probability distributions that are compatible with classical multi-network scenarios. Here, a network is a bilayer directed acyclic graph with a layer of sources of classical randomness, a layer of agents, and edges specifying the connectivity between the agents and the sources. A multi-network scenario is a list of such networks, together with a specification of subsets of agents using the same strategy. An outer approximation of the set of multi-network correlations provides means to certify the infeasibility of a list of agent outcome distributions. We furthermore show that the postselected inflation framework is mathematically equivalent to the standard inflation framework: in that respect, our results allow to gain further insights into the convergence proof of the inflation hierarchy of Navascuès and Wolfe [arXiv:1707.06476], and extend it to the case of multi-network scenarios.
