10 Mar 2004
CS 3243 - Bayesian Networks
8
Semantics
n
The full joint distribution is defined as the product of the local conditional
distributions:
n
P
(X
1
, … ,X
n
) =
π
i = 1
P
(X
i
|
Parents(X
i
))
n
n
e.g.,
P
(j
Ù
m
Ù
a
Ù
Ø
b
Ù
Ø
e)
n
=
P
(j
|
a)
P
(m
|
a)
P
(a
|
Ø
b,
Ø
e)
P
(
Ø
b)
P
(
Ø
e)
n
n