Univariate Gaussian Distribution.
Linear Gaussian Model: N(m,v), where, m = ax + b
Linear Gaussian Model: N(m,v), where, m = ax + b
Mean component: m = ax + b
Mean component: m = ax + b
Variance
Mixture of Gaussians.
Mixture of Gaussians.
Math details: http://en.wikipedia.org/wiki/Mixture_model http://en.wikipedia.org/wiki/Normal_distribution#Moments http://stats.stackexchange.com/questions/16608/what-is-the-variance-of-the-weighted-mixture-of-two-gaussians
Mixture component of probabilities (prior)
Conditional probabilities p(x|k) for all components of z (likelihood)
Multivariate Gaussian from the book 'Christopher M.
Multivariate Gaussian from the book 'Christopher M. Bishop. Pattern Recognition and Machine Learning (Information Science and Statistics), 2009'
Kalman Formulas following chapter 15 from the book 'Stuart Russell, Peter Norvig.
Kalman Formulas following chapter 15 from the book 'Stuart Russell, Peter Norvig. Artificial Intelligence - A Modern Approach, Third Edition, 2010'
Projects f(x)*q(x) distribution to a gaussian distribution q_new(x) by matching mean and variance moments.
Projects f(x)*q(x) distribution to a gaussian distribution q_new(x) by matching mean and variance moments.
Thomas P Minka. A family of algorithms for approximate Bayesian inference, 2001
Univariate Gaussian Distribution.
Mean
Variance