1. Daphne Koller Bayesian Networks Semantics & Factorization Probabilistic Graphical Models Representation

2. Daphne Koller Grade Course Difficulty Student Intelligence Student SAT Reference Letter

3. Daphne Koller The Student Network IntelligenceDifficulty Grade Letter SAT 0.3 0.08 0.25 0.4 g2g2 0.020.9i 1,d 0 0.70.05i 0,d 1 0.5 0.3 g1g1 g3g3 0.2i 1,d 1 0.3i 0,d 0 l1l1 l0l0 0.99 0.4 0.10.9g1g1 0.01g3g3 0.6g2g2 0.2 0.95 s0s0 s1s1 0.8i1i1 0.05i0i0 0.40.6 d1d1 d0d0 0.30.7 i1i1 i0i0

4. Template vertLeftWhite2 Defining a joint distribution What is the joint distribution P(D,I,G,S,L)? P(D) P(I) P(G) P(S) P(L) P(D) P(I) P(G|I,D) P(S|I) P(L|G) P(D) P(I) P(G|I) P(G|D) P(S|I) P(L|G) IntelligenceDifficulty Grade Letter SAT P(D|G) P(I|D) P(S|I) P(G|L,I,D) P(L|G)

5. Daphne Koller The Chain Rule for Bayesian Nets IntelligenceDifficulty Grade Letter SAT

6. Daphne Koller Bayesian Network A Bayesian network is:

7. Daphne Koller BN Is a Legal Distribution

8. Template vertLeft1 What is the value of 1 P(L) P(G) None of the above

9. Daphne Koller P Factorizes over G Let G be a graph over X 1,…,X n. P factorizes over G if P(X 1,…,X n ) =

10. Daphne Koller Genetic Inheritance Homer Bart Marge LisaMaggie Clancy Jackie Selma

11. Daphne Koller BNs for Genetic Inheritance G Homer G Bart G Marge G Lisa G Maggie G Clancy G Jackie G Selma B Clancy B Jackie B Selma B Homer B Marge B Bart B Lisa B Maggie

12. Daphne Koller END END END

13. Daphne Koller

18. The Chain Rule for Bayesian Nets IntelligenceDifficulty Grade Letter SAT 0.3 0.08 0.25 0.4 g2g2 0.020.9i 1,d 0 0.70.05i 0,d 1 0.5 0.3 g1g1 g3g3 0.2i 1,d 1 0.3i 0,d 0 l1l1 l0l0 0.99 0.4 0.10.9g1g1 0.01g3g3 0.6g2g2 0.2 0.95 s0s0 s1s1 0.8i1i1 0.05 i0i0 0.40.6 d1d1 d0d0 0.30.7 i1i1 i0i0 P(D,I,G,S,L) = P(D) P(I) P(G | I,D) P(L | G) P(S | I)

19. Template vertLeftWhite1 Suppose  is at a local minimum of a function. What will one iteration of gradient descent do? Leave  unchanged. Change  in a random direction. Move  towards the global minimum of J(  ). Decrease .

20. Template vertLeftWhite1 Consider the weight update: Which of these is a correct vectorized implementation?

21. Template vertLeftWhite2 Fig. A corresponds to  =0.01, Fig. B to  =0.1, Fig. C to  =1. Fig. A corresponds to  =0.1, Fig. B to  =0.01, Fig. C to  =1. Fig. A corresponds to  =1, Fig. B to  =0.01, Fig. C to  =0.1. Fig. A corresponds to  =1, Fig. B to  =0.1, Fig. C to  =0.01.

22. Template vertLeftWhite2

23. Template block2x2White1 Ordering of buttons is: 13 24