Gaussian Mixture Model, Mixture of Gaussian, MoG
The Gaussian Mixture distribution is a linear superposition of Gaussians. Mixture models can be used to build complex distribution and to cluster data.
각 데이터 포인트가 특정한 가우시안 분포에서 생성된다고 가정하고 z variables are Latent Variable Multinomial Distribution
we introduce K-dimensional binary random variable z in which only one element zk is equal to 1 and the others are all 0.
Therefore we can induce first equation easily using Marginalization
Responsibility
is responsibility of component for