Bayesian Network Theory Arthur Edge III Kathryn Meintel.

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Bayesian Network Theory Arthur Edge III Kathryn Meintel
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Transcript of Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Page 1: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Bayesian Network Theory

Arthur Edge IIIKathryn Meintel

Page 2: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Avogadro Reynolds

Page 3: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Avogadro Reynolds

Page 4: Bayesian Network Theory Arthur Edge III Kathryn Meintel.
Page 5: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

??

Page 6: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Construct a Direct Acyclic Graph and develop the Node Probability Tables

for this situation.

Page 7: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Buses Late

Parent Node

Page 8: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Buses Late

AvogadroLate

ReynoldsLate

Parent Node

Arc

Child Node

Page 9: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Probability Table for Bus Punctuality

Bus is Late

Probability

T 0.1

F 0.9

Page 10: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

Probability for Avogadro’s Punctuality

A is Late Bus is Late

T F

T

F

Column sums to 1

Column sums to 1

Page 11: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

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

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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

Page 13: Bayesian Network Theory Arthur Edge III Kathryn Meintel.

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