Introduction to Probabilistic Graphical Models Problem Set #3
1
Probabilistic Graphical Models, Spring 2009
Problem Set #3
1. (a) Prove the following theorem: Let G1 and G2 be two graphs over X . If t
Introduction to Probabilistic Graphical Models Problem Set #1 Solutions
1
Probabilistic Graphical Models, Spring 2009
Problem Set #1 Solution : Probability Review
1. After your yearly checkup, the doc
Introduction to Probabilistic Graphical Models Problem Set #1
1
Probabilistic Graphical Models, Spring 2009
Problem Set #1: Probability Review
Note: In the questions below, P is a joint probability di
1
Introduction to Probabilistic Graphical Models
Lecturer: Eran Segal
Problem set 2 - Solutions
1. General notes:
• Please note that y P (X|Y = y) = P (X). Moreover, it can be easily veriﬁed that
y P
Introduction to Probabilistic Graphical Models Problem Set #2
1
Probabilistic Graphical Models, Spring 2009
Problem Set #2
1. (a) Prove that the Weak Union property holds for all distributions P :
(X
1
Introduction to Probabilistic Graphical Models
December 13, 2007
Problem set 3 - Solutions
Lecturer: Eran Segal
1. (a) Prove the following theorem: Let G1 and G2 be two graphs over X . If they have
1
December 26, 2006
Introduction to Probabilistic Graphical Models
Problem set 4 - Solutions
Lecturer: Eran Segal
1. (a) This can be done by summing out the variables that we wish to remove and incorp
Introduction to Probabilistic Graphical Models Problem Set #4
1
Probabilistic Graphical Models, Spring 2009
Problem Set #4
1. Consider the network shown in the ﬁgure, where we assume that all variable
Stacks
CS 308 Data Structures
What is a stack?
It is an ordered group of homogeneous items of elements. Elements are added to and removed from the top of the stack (the most recently added items are