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Update index.md
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yebai authored Sep 17, 2023
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Expand Up @@ -12,7 +12,7 @@ In the `julia` REPL:
interface to work with SSMs and their logdensities.

Consider a markovian model from[^Murray]:
![state space model](./docs/images/state_space_model.png)
![state space model](images/state_space_model.png)

[^Murray]:
> Murray, Lawrence & Lee, Anthony & Jacob, Pierre. (2013). Rethinking resampling in the particle filter on graphics processing units.
Expand All @@ -22,7 +22,7 @@ The model is fully specified by the following densities:
- __Transition__: ``f(x)``
- __Emission__: ``g(x)``

And the dynamics of the model reduces to:
The dynamics of the model are reduced to:
```math
\begin{aligned}
x_t | x_{t-1} &\sim f(x_t | x_{t-1}) \\
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