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What does variable elimination improve upon enumeration?

  • A.It requires the network to have a tree structure
  • B.It avoids repeating identical subcomputations by caching factors
  • C.It considers fewer variables than enumeration does
  • D.It computes an approximate rather than an exact answer

Answer: B

Pushing sums inside products and storing the intermediate factors removes the repeated work that naive enumeration performs, often changing an exponential into something manageable. The answer is exact and every variable is still handled. Tree structure helps but is not required. Recognising repeated subcomputation and caching it is dynamic programming, and identifying it as such connects this algorithm to a large family of others. A single measurement chosen to respond to the one asymmetry beats several that respond to shared behaviour.

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