minor change for clarification.

1 files changed, 5 insertions, 1 deletions

diff --git a/posts/2019-02-14-raise-your-elbo.md b/posts/2019-02-14-raise-your-elbo.md
index d4e2227..2a59c53 100644
--- a/posts/2019-02-14-raise-your-elbo.md
+++ b/posts/2019-02-14-raise-your-elbo.md
@@ -60,7 +60,7 @@ It achieves minimum $0$ when $p = q$.
 
 If $p$ can be further written as
 
-$$p(x) = {w(x) \over Z}$$
+$$p(x) = {w(x) \over Z}, \qquad (0)$$
 
 where $Z$ is a normaliser, then
 
@@ -96,6 +96,8 @@ w &= p(x, z; \theta)\\
 q &= q(z)
 \end{aligned}$$
 
+and the dummy variable $x$ in (0) is substituted with $z$.
+
 Fully Bayesian VI, often just called VI, has the following
 instantiations:
 
@@ -105,6 +107,8 @@ w &= p(x, z, \theta) \\
 q &= q(z, \theta)
 \end{aligned}$$
 
+and $x$ in (0) is substituted with $(z, \theta)$.
+
 In both cases $\theta$ are parameters and $z$ are latent variables.
 
 **Remark on the naming of things**.