Markov Blanket

  • The Markov Blanket of node A is the set of nodes composed of Aโ€™s parents, its children, and its childrenโ€™s other parents (i.e., spouses).

  • The Markov Blanket of node A contains all the nodes that, if we know their states, i.e., we have hard evidence for these nodes, will make A independent of all other nodes.

  • This means that the Markov Blanket of node A is the only knowledge needed to predict the posterior probability distribution of that node.

  • Learning a Markov Blanket selects the most relevant predictor nodes, which is particularly helpful when there are many variables in a data set. As a result, this can serve as a highly efficient variable selection method.

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