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What is marginalisation?

  • A.Reducing a distribution to its most likely value
  • B.Summing the joint over the variables not of interest
  • C.Discarding the variables that have small probabilities
  • D.Ignoring the evidence variables during the calculation

Answer: B

Summing out the unwanted variables leaves the distribution over those that remain, which is how any query is answered from a joint. It is the operation variable elimination reorganises to avoid repeated work. Discarding, ignoring and mode selection are different operations. Knowing that every probabilistic query reduces to summing and normalising is what makes the algorithms comprehensible as optimisations of an obvious procedure. Naming the cost of a choice alongside its benefit is what turns a fact into a design decision.

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