diff --git a/reveal/NanoGrav2024/SBI.html b/reveal/NanoGrav2024/SBI.html index 8306300ff5d..84e96938265 100644 --- a/reveal/NanoGrav2024/SBI.html +++ b/reveal/NanoGrav2024/SBI.html @@ -11,6 +11,36 @@

Simulate, train, compare

+
+

Two steps in evalutating the likelihood

+
+
+ \[\begin{aligned} + L(d|\theta) \sim e^{-(d-h(\theta))\Sigma^{-1}(d-h(\theta))^T/2} + \end{aligned} \] +
+
+ \[\begin{aligned} + L(d|\theta) \sim e^{-(d-\blue{h(\theta)})\Sigma^{-1}(d-\blue{h(\theta)})^T/2} + \end{aligned} \] +
+
+ \[\begin{aligned} + \red{L(d|\theta)} \sim e^{-(d-\blue{h(\theta)})\red{\Sigma^{-1} }(d-\blue{h(\theta)})^T/2} + \end{aligned} \] +
+
+ Fast simulation + Slow likelihood +
+ +
+

Normalizing flow

+
+ +
+
+