Computational Intelligence, SS08
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Introduction to Matlab
Neural Network Toolbox
OCR with ANNs
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Gaussian Statistics
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Hidden Markov Models
Mixtures of Gaussians
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Mixtures of Gaussians

A Tutorial for the Course Computational Intelligence

Abstract

This tutorial treats mixtures of Gaussian probability distribution functions. Gaussian mixtures are combinations of a finite number of Gaussian distributions. They are used to model complex multi-dimensional distributions. When there is a need to learn the parameters of the Gaussian mixture, the EM algorithm is used. In the second part of this tutorial mixtures of Gaussian are used to model the emission probability distribution function in Hidden Markov Models.

Usage

To make full use of this tutorial you should
  1. Download the file MixtGaussian.zip which contains this tutorial in printable format (PDF and ps.gz) and the accompanying MATLAB programs.
  2. Unzip MixtGaussian.zip which will generate a subdirectory named MixtGaussian/matlab where you can find all the MATLAB programs.
  3. Add the folder MixtGaussian/matlab and the subfolders to the MATLAB search path with a command like addpath('C:\Work\MixtGaussian\matlab') if you are using a Windows machine or addpath('/home/jack/MixtGaussian/matlab') if you are using a Unix/Linux machine.

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