Prove the relations in Equation 20.8, which show how to learn the latent Dirichlet allocation model in the case where we do kn o w the part labels { p ij } I ,J i i =1 , j =1 . Show that the...

Prove the relations in Equation 20.8, which show how to learn the latent Dirichlet allocation

<sup>model




in




the




case




where




we




do




kn


o


w




the




part




labels





{




p</sup>



ij





<sup>}




I




,J




i</sup>

i

=1

,


j

=1

^.

Show that the likelihood and prior terms are given by Equations 20.10 and 20.11, respectively.