bayesian network theory arthur edge iii kathryn meintel
Post on 21-Dec-2015
219 views
TRANSCRIPT
Bayesian Network Theory
Arthur Edge IIIKathryn Meintel
Avogadro Reynolds
Avogadro Reynolds
??
Construct a Direct Acyclic Graph and develop the Node Probability Tables
for this situation.
Buses Late
Parent Node
Buses Late
AvogadroLate
ReynoldsLate
Parent Node
Arc
Child Node
Probability Table for Bus Punctuality
Bus is Late
Probability
T 0.1
F 0.9
Probability for Avogadro’s Punctuality
A is Late Bus is Late
T F
T
F
Column sums to 1
Column sums to 1
Probability for Avogadro’s Punctuality
A is Late Bus is Late
T F
T 0.8 0.1
F 0.2 0.9
Column sums to 1
Column sums to 1
Probability for Reynolds’s Punctuality
R is Late Bus is Late
T F
T 0.7 0.6
F 0.3 0.4
Column sums to 1
Column sums to 1
Buses Late
AvogadroLate
ReynoldsLate
Bus Late Probability
T 0.1
F 0.9
A is Late Bus is Late
T F
T 0.8 0.1
F 0.2 0.9
Column sums to 1
Column sums to 1
R is Late Bus is Late
T F
T 0.7 0.6
F 0.3 0.4
Column sums to 1
Column sums to 1
Direct Acyclic Graph
Nodal Probability Tables