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Tree-structured CPDs

Representation. Probabilistic Graphical Models. Local Structure. Tree-structured CPDs. Tree CPD. A. a 0. a 1. S. (0.8,0.2). s 0. s 1. Apply. L. (0.1,0.9). l 0. l 1. Letter. SAT. (0.9,0.1). (0.4,0.6). Job.

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Tree-structured CPDs

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  1. Representation Probabilistic Graphical Models Local Structure Tree-structured CPDs

  2. Tree CPD A a0 a1 S (0.8,0.2) s0 s1 Apply L (0.1,0.9) l0 l1 Letter SAT (0.9,0.1) (0.4,0.6) Job

  3. Which context-specific independencies are implied by the structure of this CPD? (Mark all that apply.) A a0 a1 S (0.8,0.2) s0 s1 L (0.1,0.9) l0 l1 (0.9,0.1) (0.4,0.6)

  4. Tree CPD C c1 c2 L2 L1 l0 l0 l1 l1 Choice (0.8,0.2) (0.9,0.1) (0.1,0.9) (0.3,0.7) Letter1 Letter2 Job

  5. Which non-context-specific independency is implied by the structure of this CPD? C c1 c2 L L l0 l0 l1 l1 (0.9,0.1) (0.8,0.2) (0.1,0.9) (0.3,0.7) Choice Letter1 Letter2 Job

  6. C c1 c2 L L l0 l0 l1 l1 (0.8,0.2) (0.9,0.1) (0.1,0.9) (0.3,0.7) Choice Letter1 Letter2 Job

  7. Multiplexer CPD . . . Z1 Z2 Zk A Y

  8. Microsoft Troubleshooters # of parameters: 145 to 55

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