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Executive Summary:
                  Bayes Nets
                                                  Andrew W. Moore
Note to other teachers and users of
these slides. Andrew would be delighted
if you found this source material useful in
                                              Carnegie Mellon University,
giving your own lectures. Feel free to use
these slides verbatim, or to modify them
                                              School of Computer Science
to fit your own needs. PowerPoint
originals are available. If you make use
of a significant portion of these slides in       awm@cs.cmu.edu
your own lecture, please include this
message, or the following link to the
                                                  www.autonlab.org
source repository of Andrew’s tutorials:
http://www.cs.cmu.edu/~awm/tutorials .
Comments and corrections gratefully
received.




                     Ice-Cream and Sharks Spreadsheet
                                         Recent Number Number
                                                 of Ice-
                                          Dow- Creams of Shark
                                          Jones          Attacks
                                                  sold
                                         Change today     today
                                                   UP         3500           4
                                              STEADY            41           0
                                                   UP         2300           5
                                               DOWN           3400           4
                                                   UP           18           0
                                              STEADY           105           0
                                              STEADY             4           0
                                              STEADY          6310           3
                                                   UP           70           0
     Copyright © 2002, Andrew W. Moore                                      Short Bayes Nets: Slide 2




                                                                                                        1
A simple Bayes Net

                                         Common
                                          Cause




                                                          Shark
                     Ice-Cream
                                                         Attacks
                        Sales




   Copyright © 2002, Andrew W. Moore                          Short Bayes Nets: Slide 3




                        A bigger Bayes Net
                                               Is it a
          Weather
                                             Weekend?


                             Number of
                                                               Fish
                             People on
                                                           Migration Info
                              Beach


         Ice-Cream                            Shark
            Sales                            Attacks


These arrows can be interpreted…
• Causally (Then it’s called an influence diagram)
• Probabilistically (if I know the value of my parent nodes, then knowing
other nodes above me would provide no extra information: Conditional
Independence
   Copyright © 2002, Andrew W. Moore                          Short Bayes Nets: Slide 4




                                                                                          2
The Guts of a Bayes Net
                                      Is it a
   Weather
                                    Weekend?
                                                      Fish
                                                  Migration Info

                  Number of
                  People on
                   Beach
                                                • If Sunny and Weekend then
                                                     Prob ( Beach Crowded ) = 90%
                                                • If Sunny and Not Weekend then
  Ice-Cream                          Shark           Prob ( Beach Crowded ) = 40%
     Sales                          Attacks     • If Not Sunny and Weekend then
                                                     Prob ( Beach Crowded ) = 20%
                                                • If Not Sunny and Not Weekend
                                                then
                                                      Prob ( Beach Crowded ) = 0%



Copyright © 2002, Andrew W. Moore                         Short Bayes Nets: Slide 5




               Real-sized Bayes Nets
                                                       How do you
                                                       build them?
                                                       From Experts
                                                       and/or from
                                                       Data!
                                                       How do you use
                                                       them? Predict
                                                       values that are
                                                       expensive or
                                                       impossible to
                                                       measure. Decide
                                                       which possible
                                                       problems to
                                                       investigate first.
Copyright © 2002, Andrew W. Moore                         Short Bayes Nets: Slide 6




                                                                                      3
Building Bayes Nets
• Bayes nets are sometimes built manually,
  consulting domain experts for structure
  and probabilities.
• More often the structure is supplied by
  experts, but the probabilities learned from
  data.
• And in some cases the structure, as well
  as the probabilities, are learned from data.


Copyright © 2002, Andrew W. Moore                         Short Bayes Nets: Slide 7




                 Example: Pathfinder
Pathfinder system. (Heckerman, Probabilistic Similarity
Networks, MIT Press, Cambridge MA).
   • Diagnostic system for lymph-node diseases.
   • 60 diseases and 100 symptoms and test-results.
   • 14,000 probabilities.
   • Expert consulted to make net.
               • 8 hours to determine variables.
               • 35 hours for net topology.
               • 40 hours for probability table values.
     • Apparently, the experts found it quite easy to invent
     the causal links and probabilities.
Pathfinder is now outperforming the world experts in
diagnosis. Being extended to several dozen other medical
domains.

Copyright © 2002, Andrew W. Moore                         Short Bayes Nets: Slide 8




                                                                                      4
Other Bayes Net Examples:
• Further Medical Examples (Peter Spirtes, Richard
  Scheines, CMU)
• Manufacturing System diagnosis (Wray Buntine, NASA
  Ames)
• Computer Systems diagnosis (Microsoft)
• Network Systems diagnosis
• Helpdesk (Support) troubleshooting (Heckerman,
  Microsoft)
• Information retrieval (Tom Mitchell, CMU)
• Customer Modeling
• Student Retention (Clarke Glymour, CMU
• Nomad Robot (Fabio Cozman, CMU)

Copyright © 2002, Andrew W. Moore       Short Bayes Nets: Slide 9




                                                                    5

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Short Overview of Bayes Nets

  • 1. Executive Summary: Bayes Nets Andrew W. Moore Note to other teachers and users of these slides. Andrew would be delighted if you found this source material useful in Carnegie Mellon University, giving your own lectures. Feel free to use these slides verbatim, or to modify them School of Computer Science to fit your own needs. PowerPoint originals are available. If you make use of a significant portion of these slides in awm@cs.cmu.edu your own lecture, please include this message, or the following link to the www.autonlab.org source repository of Andrew’s tutorials: http://www.cs.cmu.edu/~awm/tutorials . Comments and corrections gratefully received. Ice-Cream and Sharks Spreadsheet Recent Number Number of Ice- Dow- Creams of Shark Jones Attacks sold Change today today UP 3500 4 STEADY 41 0 UP 2300 5 DOWN 3400 4 UP 18 0 STEADY 105 0 STEADY 4 0 STEADY 6310 3 UP 70 0 Copyright © 2002, Andrew W. Moore Short Bayes Nets: Slide 2 1
  • 2. A simple Bayes Net Common Cause Shark Ice-Cream Attacks Sales Copyright © 2002, Andrew W. Moore Short Bayes Nets: Slide 3 A bigger Bayes Net Is it a Weather Weekend? Number of Fish People on Migration Info Beach Ice-Cream Shark Sales Attacks These arrows can be interpreted… • Causally (Then it’s called an influence diagram) • Probabilistically (if I know the value of my parent nodes, then knowing other nodes above me would provide no extra information: Conditional Independence Copyright © 2002, Andrew W. Moore Short Bayes Nets: Slide 4 2
  • 3. The Guts of a Bayes Net Is it a Weather Weekend? Fish Migration Info Number of People on Beach • If Sunny and Weekend then Prob ( Beach Crowded ) = 90% • If Sunny and Not Weekend then Ice-Cream Shark Prob ( Beach Crowded ) = 40% Sales Attacks • If Not Sunny and Weekend then Prob ( Beach Crowded ) = 20% • If Not Sunny and Not Weekend then Prob ( Beach Crowded ) = 0% Copyright © 2002, Andrew W. Moore Short Bayes Nets: Slide 5 Real-sized Bayes Nets How do you build them? From Experts and/or from Data! How do you use them? Predict values that are expensive or impossible to measure. Decide which possible problems to investigate first. Copyright © 2002, Andrew W. Moore Short Bayes Nets: Slide 6 3
  • 4. Building Bayes Nets • Bayes nets are sometimes built manually, consulting domain experts for structure and probabilities. • More often the structure is supplied by experts, but the probabilities learned from data. • And in some cases the structure, as well as the probabilities, are learned from data. Copyright © 2002, Andrew W. Moore Short Bayes Nets: Slide 7 Example: Pathfinder Pathfinder system. (Heckerman, Probabilistic Similarity Networks, MIT Press, Cambridge MA). • Diagnostic system for lymph-node diseases. • 60 diseases and 100 symptoms and test-results. • 14,000 probabilities. • Expert consulted to make net. • 8 hours to determine variables. • 35 hours for net topology. • 40 hours for probability table values. • Apparently, the experts found it quite easy to invent the causal links and probabilities. Pathfinder is now outperforming the world experts in diagnosis. Being extended to several dozen other medical domains. Copyright © 2002, Andrew W. Moore Short Bayes Nets: Slide 8 4
  • 5. Other Bayes Net Examples: • Further Medical Examples (Peter Spirtes, Richard Scheines, CMU) • Manufacturing System diagnosis (Wray Buntine, NASA Ames) • Computer Systems diagnosis (Microsoft) • Network Systems diagnosis • Helpdesk (Support) troubleshooting (Heckerman, Microsoft) • Information retrieval (Tom Mitchell, CMU) • Customer Modeling • Student Retention (Clarke Glymour, CMU • Nomad Robot (Fabio Cozman, CMU) Copyright © 2002, Andrew W. Moore Short Bayes Nets: Slide 9 5