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{{Information theory}}
{{Information theory}}
[[Image:VennInfo3Var.svg|thumb|256px|right|[[Venn diagram]] of information theoretic measures for three variables <math>x</math>, <math>y</math>, and <math>z</math>, represented by the lower left, lower right, and upper circles, respectively. The conditional mutual informations <math>I(x;z|y)</math>, <math>I(y;z|x)</math> and <math>I(x;y|z)</math> are represented by the yellow, cyan, and magenta regions, respectively.]]
[[文件:VennInfo3Var.svg|缩略图|右|以上是三个变量<math>x</math>, <math>y</math>, 和 <math>z</math>信息理论测度的维恩图，分别由左下，右下和上部的圆圈表示。条件交互信息<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（'''该图颜色标注错误，需要修改'''）区域表示。]]
In [[probability theory]], particularly [[information theory]], the '''conditional mutual information'''<ref name = Wyner1978>{{cite journal|last=Wyner|first=A. D. |title=A definition of conditional mutual information for arbitrary ensembles|url=|journal=Information and Control|year=1978|volume=38|issue=1|pages=51–59|doi=10.1016/s0019-9958(78)90026-8|doi-access=free}}</ref><ref name = Dobrushin1959>{{cite journal|last=Dobrushin|first=R. L. |title=General formulation of Shannon's main theorem in information theory|journal=Uspekhi Mat. Nauk|year=1959|volume=14|pages=3–104}}</ref> 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'''<ref name = Wyner1978>{{cite journal|last=Wyner|first=A. D. |title=A definition of conditional mutual information for arbitrary ensembles|url=|journal=Information and Control|year=1978|volume=38|issue=1|pages=51–59|doi=10.1016/s0019-9958(78)90026-8|doi-access=free}}</ref><ref name = Dobrushin1959>{{cite journal|last=Dobrushin|first=R. L. |title=General formulation of Shannon's main theorem in information theory|journal=Uspekhi Mat. Nauk|year=1959|volume=14|pages=3–104}}</ref> is, in its most basic form, the [[expected value]] of the [[mutual information]] of two random variables given the value of a third.