Discussion
What is the Markov blanket of a node?
Answer: A
Given its blanket, a node is conditionally independent of every other node in the network, which is why the blanket is exactly what a local sampling algorithm needs. Children's other parents are included because observing a child makes its parents dependent. Adjacency alone omits them, and the other options describe different sets. A set that screens a variable off from everything else is what makes local computation sound in a global model.
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