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
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '10
 Sha
 Conditional Probability, Probability theory, Audi Q5, K&F Exercise

Click to edit the document details