论文标题
有条件的rényi熵和rényi能力之间的关系
Conditional Rényi entropy and the relationships between Rényi capacities
论文作者
论文摘要
探索了Arimoto对有条件的Rényi熵和Rényi共同信息的定义的类似物,用于抽象字母。这些数量虽然取决于参考度量,但具有与离散设置中已知的有用属性相似。除了提出一些基本特性以及与Rényi差异之间的关系外,还探索了Sibson,Augustin-Csiszár和Lapidoth-Pfister定义的相互信息家族之间的关系,以及相应的能力。
The analogues of Arimoto's definition of conditional Rényi entropy and Rényi mutual information are explored for abstract alphabets. These quantities, although dependent on the reference measure, have some useful properties similar to those known in the discrete setting. In addition to laying out some such basic properties and the relations to Rényi divergences, the relationships between the families of mutual informations defined by Sibson, Augustin-Csiszár, and Lapidoth-Pfister, as well as the corresponding capacities, are explored.