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Merge pull request #346 from Umar-Azam/patch-1
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Update README.md to match equation.
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slinderman authored Jan 27, 2025
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Expand Up @@ -82,7 +82,7 @@ illustrated in the graphical model below.
The corresponding joint distribution has the following form (in dynamax,
we restrict attention to discrete time systems):

$$p(y_{1:T}, z_{1:T} | u_{1:T}) = p(z_1 | u_1) p(y_1 | z_1, u_1) \prod_{t=1}^T p(z_t | z_{t-1}, u_t) p(y_t | z_t, u_t)$$
$$p(y_{1:T}, z_{1:T} \mid u_{1:T}) = p(z_1 \mid u_1) \prod_{t=2}^T p(z_t \mid z_{t-1}, u_t) \prod_{t=1}^T p(y_t \mid z_t, u_t)$$

Here $p(z_t | z_{t-1}, u_t)$ is called the transition or dynamics model,
and $p(y_t | z_{t}, u_t)$ is called the observation or emission model.
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