Variational Bayesian methods: Difference between revisions

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:<math>
\begin{array}{rl}
D_{\mathrm{KL}}(Q \parallel P)
&= \sum_\mathbf{Z} Q(\mathbf{Z}) \left[ \log \frac{Q(\mathbf{Z})}{P(\mathbf{Z},\mathbf{X})} + \log P(\mathbf{X}) \right]\\
&= \sum_\mathbf{Z} Q(\mathbf{Z}) \left[ \log Q(\mathbf{Z}) - \log P(\mathbf{Z},\mathbf{X}) \right] + \sum_\mathbf{Z} Q(\mathbf{Z}) \left[ \log P(\mathbf{X}) \right]
\end{array}
</math>