Lecture17HO - *$%&' *$()' :$%&' :$()' CS440/ECE448:...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture 17: More on exact inference in Bayes Nets Prof. Julia Hockenmaier juliahmr@illinois.edu http://cs.illinois.edu/fa11/cs440 CS440/ECE448: Intro to ArtiFcial Intelligence 2 CS440/ECE448: Intro AI Intelligence Grade SAT Letter DifFculty !"#$() +,-. +,+. *$() +,/ +,0 1$2 1$3 4$" +,5 +,- 4$6 +,7 +,8 4$9 +,-- +,+5 :$() +,8 +,7 4$" 4$6 4$9 +,< +,7 +,< *$%:$() +,+. +,/. +,= +,- +,+0 +,+/ *$()%;:$() +,. +,< +,/ *$() +,= +,< 3 CS440/ECE448: Intro AI Intelligence Grade SAT Letter DifFculty What is the probability of getting a strong letter if you are an intelligent student? 1$2 1$3 4$" +,5 +,- 4$6 +,7 +,8 4$9 +,-- +,+5 :$() +,8 +,7 4$" 4$6 4$9 +,< +,7 +,< *$%:$() +,+. +,/. +,= +,- +,+0 +,+/ *$()%;:$() +,. +,< +,/ Review: inference in Bayes Nets What is the probability of getting a strong letter if you are an intelligent student? We want to compute the probability of a set of query variables X (= the letter) given an event e (= being intelligent) An event = an assignment of values to a set of evidence variables E (= intelligence) 4 CS440/ECE448: Intro AI P ( X = x | e ) = P ( X = x | e ) P ( e )
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Review: conditional probability P ( Y ) can be computed by marginalization: If we can compute P ( X,Y ) , we can also compute P ( X | Y ) 5 CS440/ECE448: Intro AI P ( X | Y ) = P ( X , Y ) P ( Y
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/13/2011 for the course CS 440 taught by Professor Levinson,s during the Spring '08 term at University of Illinois, Urbana Champaign.

Page1 / 6

Lecture17HO - *$%&amp;' *$()' :$%&amp;' :$()' CS440/ECE448:...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online