From 219e0cb75f2177075c95ffcd5478e304dda2bf05 Mon Sep 17 00:00:00 2001 From: Yuchen Pei Date: Wed, 20 Feb 2019 14:17:07 +0100 Subject: minor fix due to u/radarsat1 --- posts/2019-02-14-raise-your-elbo.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/posts/2019-02-14-raise-your-elbo.md b/posts/2019-02-14-raise-your-elbo.md index e6d8c18..43a841a 100644 --- a/posts/2019-02-14-raise-your-elbo.md +++ b/posts/2019-02-14-raise-your-elbo.md @@ -208,7 +208,7 @@ so we write $\eta_k = (\mu_k, \Sigma_k)$, During E-step, the $q(z_i)$ can be directly computed using Bayes' theorem: -$$r_{ik} = \mathbb P(z_i = k | x_{i}; \theta_t) +$$r_{ik} = q(z_i = k) = \mathbb P(z_i = k | x_{i}; \theta_t) = {g_{\mu_{t, k}, \Sigma_{t, k}} (x_{i}) \pi_{t, k} \over \sum_{j = 1 : n_z} g_{\mu_{t, j}, \Sigma_{t, j}} (x_{i}) \pi_{t, j}},$$ where -- cgit v1.2.3