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Bayesian Networks
book

Bayesian Networks

by Marco Scutari, Jean-Baptiste Denis
June 2014
Intermediate to advanced content levelIntermediate to advanced
241 pages
6h 20m
English
CRC Press
Content preview from Bayesian Networks
52 Bayesian Networks: With Examples in R
2.5.2 Network Scores
Network scores for GBNs have much in common with the scores for discrete
BNs we introduced in Section 1.5.2. For instance, BIC takes the form
BIC = log
b
f(E, G, V, N, W, C)
d
2
log n =
=
log
b
f(E)
d
E
2
log n
+
log
b
f(G)
d
G
2
log n
+
+
log
b
f(V | E, G)
d
V
2
log n
+
log
b
f(N | V)
d
N
2
log n
+
+
log
b
f(W | V)
d
W
2
log n
+
log
b
f(C | N, W)
d
C
2
log n
(2.13)
where each local distribution is normally distributed with the parameters we
estimated in Section 2.4. So, for instance,
b
f(C | N, W) = N(bµ
C
+ N
b
β
N
+ W
b
β
W
, bσ
2
C
) (2.14)
where bµ
C
= 0,
b
β
N
= 0.3221,
b
β
W
= 0.6737 and the residual variance bσ
2
C
= 5.8983.
Likewise,
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Publisher Resources

ISBN: 9781482225587