diff options
| -rw-r--r-- | posts/2019-02-14-raise-your-elbo.md | 2 |
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 |