The definition states the Markov Blanket includes the parents of the children of the node, so does this include the node itself too?
2026-04-04 11:55:11.1775303711
Does the Markov Blanket of a node include the node itself?
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No! The Markov Blanket does not contain the node itself. The point of the Markov Blanket $\partial A$ is that given any other node $B$ in the network, $P(A|\partial A, B) = P(A|\partial A)$. That is, $A$ and $B$ are conditionally independent given $\partial A$, the Markov Blanket of $A$. If the Markov Blanket included $A$ itself, this statement would be a tautology, and lack any content.