Question: Show that the bound given in Equation 7.6 is maximised (i.e. equal to the true (log) marginal likelihood) when (Q(boldsymbol{theta})) is identical to the true

Show that the bound given in Equation 7.6 is maximised (i.e. equal to the true $\log$ marginal likelihood) when $Q(\boldsymbol{\theta})$ is identical to the true posterior $p(\boldsymbol{\theta} \mid \mathbf{X})$.

Data from Equation 7.6

log p(Y) = IV log/Q(6) P(Y, 0) Q(0) p(Y, 0) Q(0) log

log p(Y) = IV log/Q(6) P(Y, 0) Q(0) p(Y, 0) Q(0) log Q(0) -de de = L(Q).

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