Gaussian Mixture Model Clustering

Softsampling: everypoint in our dataset will belong to every clusterthat we have, but they will have different levels of membership.

Works in 2d as well.

2d Gaussian Distribution

First concentric certicle = 1 std dev away from the mean (68% of the data), etc.

Expectation - Maximization for Gaussian Mixture

Step1

step 2

step 3

step 4

We can also change the covariance type from spherical, to full - which can make it have an elipse shape