Description
Please submit your solutions through blackboard assignment page.
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We are given the following Bayesian network over X2, X3, …, X9. Note that there is no X1.
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What is the Bayesian network factorization of the joint P(X2, X3, …, X9)?
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Assume Xi can take i possible values (for e.g., X2 is binary, X3 can take on 3 possible values, …, X9 can take on 9 possible values)
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What is the number of independent parameters required to represent the full joint using the naïve table representation? Show your work.
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What is the number of independent parameters required for this network? Show your work.
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For each of the following independence statements, indicate whether it is True or False.
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X2⊥X3
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X2⊥X3|X8
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X2⊥X3|X6
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X2⊥X4|X9
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X7⊥X6
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We are given the following Bayesian network. Please compute the requested probabilities using variable elimination.
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P(B)
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P(C|A=T)
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P(A, B | C=T, D=F).
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What action should you take?
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What is the value of information of Z?
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What is the value of information of X?
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Given Z=T, what is the value of information of X?