论文标题
关于在几乎熵锥边界处的熵向量的表征
On Characterization of Entropic Vectors at the Boundary of Almost Entropic Cones
论文作者
论文摘要
熵区域是信息理论中的基本对象。熵区域的外部结合是由一组最小的香农型不平等不平等的不平等现象，也称为香农地区。本文着重于三个随机变量的香农区域边界的熵点的表征。香农地区的正确面形成了边界。我们在某些面部为熵区域提供了新的外部边界，并通过明确构造分布来显示出某些面部熵区域的现有内部边界并不紧。
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.
