hw2 - CSCI 573 2010 Homework Assignment 2 Due: March 2nd,...

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CSCI 573 2010 Homework Assignment 2 Due: March 2nd, 2010 before the class 12:30pm (either in person or electronically) 1 Parameter Learning Q H int. You can get some intuition by looking at Exercise 17.1 which is a special case of this problem. ) Q 2 (7 pts) In class when we discussed Bayesian parameter learning, we have used the Beta prior for the coin/thumbtack tossing example. Now, let us try a different prior for thumbtacks. Let θ be the probability of thumbtack being “up”. Our prior takes the form p ( θ ) = ± 2 θ if θ 1 / 2 2(1 - θ ) if 1 / 2 θ 1 We now see one observation that the thumbtack is in “up” position after tossing. Answer following: i) what is the posterior distribution of θ ? ii) what is the MAP estimate of θ ? Q comment on why the equation in (b) is an approximation. Particularly, since data are assumed to be inde-
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hw2 - CSCI 573 2010 Homework Assignment 2 Due: March 2nd,...

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