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Why are a node's children's other parents included in its blanket?

  • A.They may become parents of the node in a revised model
  • B.Observing a shared child makes its parents dependent
  • C.They are connected to the node by a path of two edges
  • D.Their values are needed to compute the node's own table

Answer: B

Two causes of the same effect are independent until the effect is observed, after which learning one explains the observation away and lowers the probability of the other. That explaining away is why they must be in the blanket. Path length, table computation and model revision are not the reason. A dependence created rather than removed by observation is counter-intuitive and is the single most distinctive feature of these networks. The shared properties explain why these belong to one family, and the differences explain why more than one exists.

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