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What is likelihood weighting?

  • A.Sampling only the variables that appear in the likelihood term
  • B.Assigning weights to the network's edges before sampling
  • C.Fixing the evidence and weighting each sample by its likelihood
  • D.Weighting each variable by how strongly it influences the query

Answer: C

Rather than sampling the evidence variables and discarding mismatches, their values are fixed and each sample carries a weight equal to the likelihood of that evidence, so no sample is wasted. It degrades when the evidence lies far downstream. The other options describe different schemes. Converting a rejection into a weight is importance sampling, and recognising it as such brings a body of theory to bear on when it will work. Most errors here come from carrying a result across from a neighbouring case where it does not hold.

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