Skip to content
ml-recall

#gaussian-mixture

5 questions from Clustering, Diffusion Models

Timed test

5 questions · 5 min · score and explanations at the end

Take a test
Q 1 / 5Score 0 / 0

Question 1: Short answer

mediumAI-checkedClustering

A one-dimensional mixture of two Gaussians has weights π1=π2=0.5\pi_1 = \pi_2 = 0.5 and components N(x;0,1)\mathcal{N}(x; 0, 1) and N(x;2,1)\mathcal{N}(x; 2, 1) at the current EM iteration. In the E-step, what is the responsibility w1=p(h=1∣x=0)w_{1} = p(h = 1 \mid x = 0) of component 1 for the data point x=0x = 0?

a probability, 3 decimals