An alternative approach to face verification using the identity subspace model is to compute the probability of the observed data x 1 and x 2 under the models: Pr ( x 1 , x 2 | w = 0) = Pr ( x 1 ) Pr...






    1. An alternative approach to face verification using the identity subspace model is to compute

      the probability of the observed data



      x


      1

      and



      x


      2

      under the




      models:








Pr



(



x


1


,








x


2


|




w







=




0)




=





Pr



(



x


1

)



Pr



(



x


2

)





Pr



(



x


1


,








x


2


|




w







=




1)




=





Pr



(



x


1

)



Pr



(



x


2


|




x


1

)



.





Write down expressions for the marginal probability terms



Pr



(



x


1

)


,



Pr



(



x


2

)


and the




condi-




tional




probability





Pr



(



x


2


|




x


1

)


.




How




could




you




use




these




expressions




to




compute




the




posterior





Pr



(



w




|




x


1


,








x


2

)




over




the




world




state?








May 12, 2022
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