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Why are nodes with many parents avoided in a Bayesian network?

  • A.Many parents make the network cyclic and therefore invalid
  • B.The independence assertions become impossible to interpret
  • C.The conditional table grows exponentially with the parent count
  • D.The inference algorithm cannot handle more than a few parents

Answer: C

A node with ten binary parents needs a thousand rows, which no expert could supply and no realistic data set could estimate. Structured representations such as the noisy or reduce that to a parameter per parent. Algorithms cope, cycles come from the graph structure rather than the parent count, and interpretation is unaffected. A representation whose size explodes with a particular structural feature drives the modeller away from that feature, which is often no bad thing.

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