条件互信息
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[[Venn diagram of information theoretic measures for three variables [math]\displaystyle{ x }[/math], [math]\displaystyle{ y }[/math], and [math]\displaystyle{ z }[/math], represented by the lower left, lower right, and upper circles, respectively. The conditional mutual informations [math]\displaystyle{ I(x;z|y) }[/math], [math]\displaystyle{ I(y;z|x) }[/math] and [math]\displaystyle{ I(x;y|z) }[/math] are represented by the yellow, cyan, and magenta regions, respectively.]]
[三个变量的信息理论度量维恩图分别代表左下、右下和上圆。条件互信息 < math > i (x; z | y) </math > ，< math > i (y; z | x) </math > 和 < math > i (x; y | z) </math > 分别由黄色、青色和品红色区域表示。]
In probability theory, particularly information theory, the conditional mutual information[1][2] is, in its most basic form, the expected value of the mutual information of two random variables given the value of a third.
In probability theory, particularly information theory, the conditional mutual information
在概率论理论中，特别是信息论中，条件互信息
Definition
Category:Information theory
范畴: 信息论
For random variables [math]\displaystyle{ X }[/math], [math]\displaystyle{ Y }[/math], and [math]\displaystyle{ Z }[/math] with support sets [math]\displaystyle{ \mathcal{X} }[/math], [math]\displaystyle{ \mathcal{Y} }[/math] and [math]\displaystyle{ \mathcal{Z} }[/math], we define the conditional mutual information as
Category:Entropy and information
类别: 熵和信息
This page was moved from wikipedia:en:Conditional mutual information. Its edit history can be viewed at 条件互信息/edithistory
- ↑ Wyner, A. D. (1978). "A definition of conditional mutual information for arbitrary ensembles". Information and Control. 38 (1): 51–59. doi:10.1016/s0019-9958(78)90026-8.
- ↑ Dobrushin, R. L. (1959). "General formulation of Shannon's main theorem in information theory". Uspekhi Mat. Nauk. 14: 3–104.