Wykład 3: Sieci Bayesa

Wykład 3: Sieci Bayesa Wykład 3: Sieci Bayesa

zsi.tech.us.edu.pl
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A B a1 0.25 a2 0.25 a3 0.25 a4 0.25 P(C|X) c1 c2 c3 X1 0.1 0.2 0.7 X2 0.2 0.6 0.2 X3 0.5 0.4 0.1 P(X|A,B) X1 x2 x3 a1b1 0.3 0.3 0.4 a1b2 0.2 0.4 0.4 a2b1 0.1 0.3 0.6 a2b2 0.05 0.35 0.6 a3b1 0.4 0.4 0.2 a3b2 0.2 0.5 0.3 a4b1 0.6 0.35 0.05 a4b2 0.3 0.4 0.3 b1 0.4 b2 0.6 P(DX) d1 d2 d3 X1 0.1 0.3 0.6 X2 0.7 0.2 0.1 X3 0.3 0.4 0.3 p( A a p( A a p( A a p( A a 4 4 4 4 , B b 2 , C ) p( B b , B b 2 , C ) p( B b , X , X 0.25*0.6*0.05*0.5*0.4 0.0015 2 2 c , D d 1 ) p( X x 1 3 c , D d ) p( X x 3 2 2 | A a | A a 4 4 x 3 3 ) B x ) B b b 2 2 ) p( C ) p( C c c 1 1 | | X X x x 3 3 ) p( D ) p( D d d 2 2 | | X X x x 3 3 ) )

A a1 0.25 a2 0.25 a3 0.25 a4 0.25 P(X|A,B) X1 x2 x3 a1b1 0.3 0.3 0.4 a1b2 0.2 0.4 0.4 a2b1 0.1 0.3 0.6 a2b2 0.05 0.35 0.6 a3b1 0.4 0.4 0.2 a3b2 0.2 0.5 0.3 a4b1 0.6 0.35 0.05 a4b2 0.3 0.4 0.3 B b1 0.4 b2 0.6 p( X x1 | A a1 B b1 )* p( A a1)* p( B b1 ) 0.3*(0.25*0.4) 0.3*0.1 0.03

A<br />

a1 0.25<br />

a2 0.25<br />

a3 0.25<br />

a4 0.25<br />

P(X|A,B) X1 x2 x3<br />

a1b1 0.3 0.3 0.4<br />

a1b2 0.2 0.4 0.4<br />

a2b1 0.1 0.3 0.6<br />

a2b2 0.05 0.35 0.6<br />

a3b1 0.4 0.4 0.2<br />

a3b2 0.2 0.5 0.3<br />

a4b1 0.6 0.35 0.05<br />

a4b2 0.3 0.4 0.3<br />

B<br />

b1 0.4<br />

b2 0.6<br />

p(<br />

X x1<br />

| A a1<br />

B b1<br />

)* p(<br />

A a1)*<br />

p(<br />

B b1<br />

)<br />

0.3*(0.25*0.4) 0.3*0.1 0.03

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