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Markov blanket : ウィキペディア英語版
Markov blanket

In machine learning, the Markov blanket for a node A in a Bayesian network is the set of nodes \partial A composed of A's parents, its children, and its children's other parents. In a Markov network, the Markov blanket of a node is its set of neighboring nodes. A Markov blanket may also be denoted by MB(A).
Every set of nodes in the network is conditionally independent of A when conditioned on the set \partial A, that is, when conditioned on the Markov blanket of the node A. The probability has the Markov property; formally, for distinct nodes A and B:
:\Pr(A \mid \partial A , B) = \Pr(A \mid \partial A). \!
The Markov blanket of a node contains all the variables that shield the node from the rest of the network. This means that the Markov blanket of a node is the only knowledge needed to predict the behavior of that node. The term was coined by Pearl in 1988.
In a Bayesian network, the values of the parents and children of a node evidently give information about that node; however, its children's parents also have to be included, because they can be used to explain away the node in question. In a Markov random field, the Markov blanket for a node is simply its adjacent nodes.
== See also ==

* Moral graph

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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