论文标题
一种准均匀的方法来表征几乎熵区域的边界
A Quasi-Uniform Approach to Characterizing the Boundary of the Almost Entropic Region
论文作者
论文摘要
准均匀随机矢量的熵向量的凸闭合与熵区域的闭合相同。因此，准均匀的随机矢量构成了表征熵区域的重要一类随机向量。此外，准均匀的代码和准均匀的随机向量之间的一对一对应关系使准均匀的随机向量对于设计有效的通信系统的有效代码而具有至关重要的媒介。在本文中，我们提出了一种新的方法，该方法利用准均匀的随机向量来表征几乎熵区域的边界。特别是，我们使用准均匀随机矢量的概念来建立三个随机变量的几乎熵区域边界的熵向量的已知内边界的松散性。对于诸如网络编码之类的通信模型，我们的方法可以应用于来自准均匀熵向量的设计网络代码。
The convex closure of entropy vectors for quasi-uniform random vectors is the same as the closure of the entropy region. Thus, quasi-uniform random vectors constitute an important class of random vectors for characterizing the entropy region. Moreover, the one-to-one correspondence between quasi-uniform codes and quasi-uniform random vectors makes quasi-uniform random vectors of central importance for designing effective codes for communication systems. In this paper, we present a novel approach that utilizes quasi-uniform random vectors for characterizing the boundary of the almost entropic region. In particular, we use the notion of quasi-uniform random vectors to establish looseness of known inner bounds for the entropy vectors at the boundary of the almost entropic region for three random variables. For communication models such as network coding, our approach can be applied to design network codes from quasi-uniform entropy vectors.
