Multivariate Gaussian/Normal Mixture Distribution/Model/Process

Bivariate Trimodal Model (Example)

Example Covariances

samples from a Gaussian mixture model. In the example below, there are three components. From left to right:

  • the first component has an isotropic covariance matrix, meaning it has the same amount of variance in each direction
  • the second has a diagonal covariance matrix, meaning it can control the variance separately along each axis-aligned direction. This example has more variance along the 𝑥2 axis than along the 𝑥1 axis
  • the third component has a full-rank covariance matrix, allowing it to control the variance separately along with an arbitrary basis of directions

Learning Parameters

see Gaussian Process Regression (GPR) - Kriging