Independence of Causal Influence

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Presentation transcript:

Independence of Causal Influence Representation Probabilistic Graphical Models Local Structure Independence of Causal Influence

. . . Pneu- monia Flu TB Bron- chitis Cough

. . . Noisy OR CPD X1 X2 Xk Z0 Z1 Z2 Zk Y P(Z0=1) =0 Xi=0 P(Zi=1|Xi) = Xi=0 Xi=1 Y

Independence of Causal Influence X1 X2 Xk . . . Z0 Z1 Z2 Zk Z Y

Sigmoid CPD X1 X2 Xk . . . Z1 Z2 Zk Z Y

Behavior of Sigmoid CPD w0 = -5 multiply w and w0 by 10

CPCS # of parameters: 133,931,430 to 8254 M. Pradhan G. Provan B. Middleton M. Henrion UAI 1994 # of parameters: 133,931,430 to 8254