An alternative approach to face verification using the identity subspace model is to computethe probability of the observed datax1andx2under themodels:
Pr(x1,x2|w=0)=Pr(x1)Pr(x2)Pr(x1,x2|w=1)=Pr(x1)Pr(x2|x1).
Write down expressions for the marginal probability termsPr(x1),Pr(x2)and thecondi-tionalprobabilityPr(x2|x1).HowcouldyouusetheseexpressionstocomputetheposteriorPr(w|x1,x2)overtheworldstate?
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