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authorYuchen Pei <me@ypei.me>2019-02-19 19:23:43 +0100
committerYuchen Pei <me@ypei.me>2019-02-19 19:23:43 +0100
commit9c5a971fd859b1f6a2ef4d0a17c5be218defe2ff (patch)
treeadd956c64e9eb0c6092686bee7731d6e270f9023
parent4eafd0a87884ad2c3b6950d961f746183c7bee82 (diff)
minor fix
-rw-r--r--posts/2019-02-14-raise-your-elbo.md2
1 files changed, 1 insertions, 1 deletions
diff --git a/posts/2019-02-14-raise-your-elbo.md b/posts/2019-02-14-raise-your-elbo.md
index fb1052a..d08444d 100644
--- a/posts/2019-02-14-raise-your-elbo.md
+++ b/posts/2019-02-14-raise-your-elbo.md
@@ -346,7 +346,7 @@ $$p(x_{\ell, i} | d_{\ell, i} = \ell; \theta) = \sum_k p(x_{\ell, i} | z_{\ell,
Since we have regrouped the $x$'s and $z$'s whose indices record the values
of the $d$'s, we can remove $d$ from the equation altogether.
-$$p(x_{\ell, i} | \theta) = \sum_k p(x_{\ell, i} | z_{\ell, i} = k; \theta) p(z_{\ell, i} = k | \theta).$$
+$$p(x_{\ell, i}; \theta) = \sum_k p(x_{\ell, i} | z_{\ell, i} = k; \theta) p(z_{\ell, i} = k; \theta).$$
It is effectively a modification of SMM by making $n_d$ copies of $\pi$.
More specifically the parameters are