Machine-translated by Google. Questions are authored in English.
Top

Discussion

How does a Bayesian network arise from the chain rule?

  • A.Each variable is conditioned only on its parents rather than all predecessors
  • B.The variables are ordered so that the chain rule becomes exact
  • C.The chain rule is applied repeatedly until the joint is factorised
  • D.The conditionals are estimated rather than computed exactly

Answer: A

The chain rule always gives a factorisation, and conditional independence lets each factor drop the predecessors that add nothing, leaving only the parents. The saving comes entirely from those dropped conditionings. Exactness is unaffected by the ordering, repetition is not required and estimation is a separate matter. Deriving the representation from an identity plus an assumption, rather than positing it, shows exactly where its power comes from.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.