论文标题
一个熵功能从上方界定
An entropy functional bounded from above by one
论文作者
论文摘要
香农熵广泛用于量化离散随机变量的不确定性。但是，当将其标准化到单位间隔时，就像在实践中通常这样做的那样，它不再传达所研究的随机变量的字母大小。这项工作引入了基于Jensen Shannon Divergence的熵功能，该功能自然地从上面界定。与归一化的香农熵不同，这种新功能在均匀性下严格增加了字母大小，因此非常适合于离散随机变量的表征。
Shannon entropy is widely used to quantify the uncertainty of discrete random variables. But when normalized to the unit interval, as is often done in practice, it no longer conveys the alphabet sizes of the random variables being studied. This work introduces an entropy functional based on Jensen-Shannon divergence that is naturally bounded from above by one. Unlike normalized Shannon entropy, this new functional is strictly increasing in alphabet size under uniformity and is thus well suited to the characterization of discrete random variables.
