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Representation. Probabilistic Graphical Models. Local Structure. Independence of Causal Influence. Pneu - monia. Flu. TB. Bron - chitis. Cough. Noisy OR CPD. X 1. X 2. X k. Z 0. Z 1. Z 2. Z k. P(Z 0 =1) =  0. X i =0. P( Z i =1|X i ) =. Y. X i =1.

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Independence of Causal Influence


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independence of causal influence

Representation

Probabilistic

Graphical

Models

Local Structure

Independence of Causal Influence

slide2

. . .

Pneu-

monia

Flu

TB

Bron-

chitis

Cough

noisy or cpd
Noisy OR CPD

X1

X2

Xk

. . .

Z0

Z1

Z2

Zk

P(Z0=1) =0

Xi=0

P(Zi=1|Xi) =

Y

Xi=1

sigmoid cpd
Sigmoid CPD

X1

X2

Xk

. . .

Z1

Z2

Zk

Z

Y

behavior of sigmoid cpd
Behavior of Sigmoid CPD

w0 = -5

multiply w and w0 by 10

slide7
CPCS

M. Pradhan

G. Provan

B. Middleton

M. Henrion

UAI 1994

# of parameters:

133,931,430 to 8254