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What is inference by enumeration in a Bayesian network?

  • A.Summing the joint distribution over the unobserved variables
  • B.Listing every node and computing its marginal in turn
  • C.Enumerating the possible networks consistent with the data
  • D.Counting how often each value appears in the training data

Answer: A

Enumeration computes a query by summing the factorised joint over every combination of the hidden variables, which is correct and exponential. Variable elimination improves it by reordering the sums and caching. The other options describe different procedures. Starting from the definition, and then finding the algebraic rearrangement that makes it tractable, is how variable elimination is best understood.

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