Junction Tree Algorithm Examples October 13, 2016 Junction Tree - PowerPoint PPT Presentation

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Junction Tree Algorithm Examples October 13, 2016 Junction Tree Algorithm Moralize (if starting from a directed graphical model) Triangulate (make it chordal) Construct a junction tree (maximum cardinality search) Define

Junction Tree Algorithm Examples October 13, 2016
Junction Tree Algorithm • Moralize (if starting from a directed graphical model) • Triangulate (make it chordal) • Construct a junction tree (maximum cardinality search) • Define potentials on maximal cliques • Introduce evidence (if any) • Propagate probabilities
CHILD Example from Spiegelhalter et al (1993) Statistical Science
Conditional Probability Tables
Visualization of Updated Beliefs on Every Node
Visualization of Updated Beliefs on Every Node
Moralize
Triangulation and Maximum Cardinality Search
Construct Junction Tree and Define Potentials on Maximal Cliques
Introduce Evidence and Propagate Probabilities
Comments: 1. Read Spiegelhalter, David J.; Dawid, A. Philip; Lauritzen, Steffen L.; Cowell, Robert G. Bayesian Analysis in Expert Systems. Statist. Sci. 8 (1993), no. 3, 219--247. doi: 10.1214/ss/1177010888. http://projecteuclid.org/euclid.ss/1177010888. 2. Convince yourself the numbers in Figure 13 are correct. 3. We will proceed to approximate inference. 4. Enjoy your Fall break! 5. Fill out the midterm survey: https://goo.gl/forms/AMfJ1t1d0gQbgQXI3

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