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Improve letters that denote different sets of vars
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mroavi committed Jul 13, 2023
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Expand Up @@ -209,13 +209,14 @@ explanation or prediction according to the model.

### Marginal Maximum a Posteriori (MMAP)

Computing the most likely assignment to the query variables, ``\bm{V}_M \subset
\bm{V}^{\prime}`` after marginalizing out the remaining variables ``\bm{V}_S =
\bm{V}^{\prime} \setminus \bm{V}_M``:
Computing the most likely assignment to the query variables, ``\bm{Q} \subset
\bm{V}^{\prime}`` after marginalizing out the remaining variables ``\bm{Z} =
\bm{V}^{\prime} \setminus \bm{Q}``, also known as *hidden* or *latent*
variables:

```math
MMAP(V_i \mid \bm{E}=e) = \arg \max_{V_M \in \bm{V}_M} \sum_{V_S \in \bm{V}_S}
\prod_{\phi \in \bm{\phi}} f(V_M, V_S, e)
MMAP(V_i \mid \bm{E}=e) = \arg \max_{Q \in \bm{Q}} \sum_{Z \in \bm{Z}}
\prod_{\phi \in \bm{\phi}} \phi(Q, Z, e)
```

This task is essentially a combination of the MAR and MAP tasks. The MMAP task
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