论文标题
重新审视四个离散随机变量的条件独立结构：条件Ingleton不平等现象
Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities
论文作者
论文摘要
本文处理有条件线性信息不平等的有效性，适用于由离散随机变量引起的熵函数。具体而言，所谓的条件Ingleton不等式是感兴趣的中心：在诱导随机变量的条件独立性假设下，这些不平等现象是有效的。我们讨论了这种特殊类型的五种不平等现象，其中四种出现在文献中。除了新的第五不平等的证明外，还提出了（一些）以前不平等的简单证明。这五个信息不等式用于表征由四个离散随机变量引起的所有条件独立性结构。
The paper deals with conditional linear information inequalities valid for entropy functions induced by discrete random variables. Specifically, the so-called conditional Ingleton inequalities are in the center of interest: these are valid under conditional independence assumptions on the inducing random variables. We discuss five inequalities of this particular type, four of which has appeared earlier in the literature. Besides the proof of the new fifth inequality, simpler proofs of (some of) former inequalities are presented. These five information inequalities are used to characterize all conditional independence structures induced by four discrete random variables.
