几乎熵锥边界上熵向量的刻画
On Characterization of Entropic Vectors at the Boundary of Almost Entropic Cones
摘要：
熵域是信息论的一个基本对象。熵区域的外边界由称为基本不等式的香农型不等式的最小集合定义，也称为香农区域。本文主要讨论三个随机变量在Shannon区域边界上的熵点的特征。香农区域的固有面形成了它的边界。我们给出了新的外边界的熵区域在某些方面，并显示由明确的建设的分布，现有的内边界的熵区域在某些方面是不紧。
英文摘要：
The entropy region is a fundamental object in information theory. An outer bound for the entropy region is defined by a minimal set of Shannon-type inequalities called elemental inequalities also referred to as the Shannon region. This paper focuses on characterization of the entropic points at the boundary of the Shannon region for three random variables. The proper faces of the Shannon region form its boundary. We give new outer bounds for the entropy region in certain faces and show by explicit construction of distributions that the existing inner bounds for the entropy region in certain faces are not tight.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
