====== Homework 03 ======

===== Goal =====
implement MOG in 2D case
  - Generate sampling points from a 2D Gaussian distribution 
  - Generate sampling points from a 2D Mixture of Gaussian (MOG) distribution
  - Estimate parameters of generated data via step2 by using the E-M method
  - Plot iteration results
   
===== Optional / Bonus =====

  - implement MOG in n-D case
  - add regularization term 

===== Requirements =====
  - Programming lanuage: python
  - Plot the results in [[http://matplotlib.org/|matplotlib]]