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Redes Bayesianas

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6. Aprendizaje estructural<br />

Score:<br />

• Máxima verosimilitud penalizada: log p(D | S, θ) − pe(N)dim(S)<br />

n∑<br />

q i ∑<br />

r i ∑<br />

i=1 j=1 k=1<br />

N ijk log N ijk<br />

N ij<br />

− pe(N)dim(S)<br />

• Nijk denota el número de casos en D en los cuales X i toma el valor x k i y<br />

P a i toma su j-ésimo valor; N ij =<br />

• dim(S) =<br />

∑ n<br />

i=1 q i(r i − 1)<br />

r i ∑<br />

k=1<br />

N ijk<br />

• pe(N) =<br />

⎧<br />

⎨<br />

⎩<br />

1 AIC, Akaike, 1974<br />

1<br />

2 log N BIC, Schwarz, 1978 <strong>Redes</strong> <strong>Bayesianas</strong> – p.27/91

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