Computer Science > QUESTIONS & ANSWERS > Purdue University CS CS 47100 (6 pts) Probabilistic Inference and Independence (a) (3 pts) Let X1 (All)

Purdue University CS CS 47100 (6 pts) Probabilistic Inference and Independence (a) (3 pts) Let X1, X2 and Y be random variables. We want to calculate P(Y| X1, X2) but we do not...

Document Content and Description Below

2. (6 pts) Probabilistic Inference and Independence (a) (3 pts) Let X1, X2 and Y be random variables. We want to calculate P(Y| X1, X2) but we do not possess any independence/conditional independence ... information about these variables. For each of the following sets of distributions show how to calculate the desired query or explain why it is not possible: i. P(X1, X2), P(Y), P(Xi|Y) and P(X2|X1) ii. P(X1, X2), P(Y) and P(X1, X2|Y) iii. P(X] |Y), P(X2|Y), P(X1, X2) and P(Y) iv. P(X1), P(X2), P(X1, X2) and P(X1, X2|Y) v. P(X]), P(X2), P(X1, X2|Y) and P(X,| Y) (b) (3 pts) Now suppose you know that (X1 IL X2|Y). Now, which of the aforementioned sets are sufficient? Justify your answers [Show More]

Last updated: 3 years ago

Preview 1 out of 5 pages

Buy Now

Instant download

We Accept: