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Suppose $X_1, ..., X_n$ are $d$-ary discrete random variables which are part of a Bayes network, in which $X_i$ has $n_i$ parents. What is the number of parameters for the Bayes network?

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1 Answer 1

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For one random variable with k parents the number of parameters = $$ d \cdot d^k $$
If you need independent parameters: $$ (d-1) \cdot d^k $$

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