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单词 Conditional information
释义

Conditional information

中文百科

条件熵 Conditional entropy

(重定向自Conditional information)

在信息论中,条件熵描述了在已知第二个随机变量 X 的值的前提下,随机变量 Y 的信息熵还有多少。同其它的信息熵一样,条件熵也用Sh、nat、Hart等信息单位表示。基于 X 条件的 Y 的信息熵,用 \Eta(Y|X) 表示。

英语百科

Conditional entropy 条件熵

(重定向自Conditional information)
Venn diagram for various information measures associated with correlated variables X and Y. The area contained by both circles is the joint entropy H(X,Y). The circle on the left (red and violet) is the individual entropy H(X), with the red being the conditional entropy H(X|Y). The circle on the right (blue and violet) is H(Y), with the blue being H(Y|X). The violet is the mutual information I(X;Y).

In information theory, the conditional entropy (or equivocation) quantifies the amount of information needed to describe the outcome of a random variable Y given that the value of another random variable X is known. Here, information is measured in shannons, nats, or hartleys. The entropy of Y conditioned on X is written as H(Y|X).

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更新时间:2025/6/17 11:44:10