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Update likelihood function
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kazewong committed May 18, 2024
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Expand Up @@ -11,6 +11,36 @@ <h4 class="header">Simulate, train, compare</h4>
</div>
</section>

<section>
<h4 class="header">Two steps in evalutating the likelihood</h4>
<div class="r-stack">
<div class="fragment fade-in-then-out" data-fragment-index="1">
\[\begin{aligned}
L(d|\theta) \sim e^{-(d-h(\theta))\Sigma^{-1}(d-h(\theta))^T/2}
\end{aligned} \]
</div>
<div class="fragment fade-in-then-out" data-fragment-index="2">
\[\begin{aligned}
L(d|\theta) \sim e^{-(d-\blue{h(\theta)})\Sigma^{-1}(d-\blue{h(\theta)})^T/2}
\end{aligned} \]
</div>
<div class="fragment fade-in-then-out" data-fragment-index="3">
\[\begin{aligned}
\red{L(d|\theta)} \sim e^{-(d-\blue{h(\theta)})\red{\Sigma^{-1} }(d-\blue{h(\theta)})^T/2}
\end{aligned} \]
</div>
</div>
<span class="fragment" data-fragment-index="2" style="color: rgb(100, 149, 237);">Fast simulation</span>
<span class="fragment" data-fragment-index="3" style="color: rgb(223, 0, 48);">Slow likelihood</span>
</section>

<section>
<h4 class="header">Normalizing flow</h4>
<div class="row">

</div>
</section>

<!-- Single event inference -->

<section>
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