FuseComponents
PURPOSE 
Fuses a Gaussian mixture into a single Gaussian.
SYNOPSIS
function g=FuseComponents(gm)
DESCRIPTION
Fuses a Gaussian mixture into a single Gaussian. Summarizes the information on a Gaussian mixture into a single Gaussian. The mean of the output Gaussian is the weighted mean of the components in the input mixture. The covariance is basically the weighted mean of the covariance of the components but it also take into account the dispersion of the mean of the components. See also @GMixture/Mean, @GMixture/Covariance, CompressGR.
CROSS-REFERENCE INFORMATION
This function calls:
- get Get for GBeliefs.
- Covariance Average covariance of a Gaussian mixture.
- Mean Mean of a Gmixture.
- get Get function for the GMixture object.
- Gaussian Gaussian construtor.
- get Gaussian object get function.
- get Get function for CS_CO_CA_POMDPs.
- get Get function for CS_CO_DA_POMDPs.
- get Get function for CS_CO_POMDPs.
- get Get function for CS_DO_CA_POMDPs.
- get Get function for CS_DO_DA_POMDPs.
- get Get function for CS_POMDPs.
- get Get function for DS_CO_CA_POMDPs.
- get Get function for DS_CO_DA_POMDPs.
- get Get function for DS_DO_CA_POMDPs.
- get Get function for DS_DO_DA_POMDPs.
- get Get functio for POMDPs.
- CompressGR Gaussian mixture compression using the Golberger and Roweis method.
SOURCE CODE
0001 function g=FuseComponents(gm) 0002 % Fuses a Gaussian mixture into a single Gaussian. 0003 % 0004 % Summarizes the information on a Gaussian mixture into a single 0005 % Gaussian. 0006 % The mean of the output Gaussian is the weighted mean of the components 0007 % in the input mixture. 0008 % The covariance is basically the weighted mean of the covariance of the 0009 % components but it also take into account the dispersion of the mean of 0010 % the components. 0011 % 0012 % See also @GMixture/Mean, @GMixture/Covariance, CompressGR. 0013 m=Mean(gm); 0014 S=Covariance(gm); 0015 for i=1:gm.n 0016 v=(get(gm.g{i},'mean')-m); 0017 S=S+gm.w(i)*(v*v'); 0018 end 0019 g=Gaussian(m,S); 0020