demgmm4.htm
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<html><head><title>Netlab Reference Manual demgmm4</title></head><body><H1> demgmm4</H1><h2>Purpose</h2>Demonstrate density modelling with a Gaussian mixture model.<p><h2>Synopsis</h2><PRE>demgmm4</PRE><p><h2>Description</h2>The problem consists of modelling data generatedby a mixture of three Gaussians in 2 dimensions with a mixture modelusing full covariance matrices. The priors are 0.3, 0.5 and 0.2; thecentres are (2, 3.5), (0, 0) and (0,2); the variances are (0.16, 0.64)axis aligned, (0.25, 1) rotated by 30 degrees and the identitymatrix. The first figure contains a scatter plot of the data.<p>A Gaussian mixture model with three components is trained using EM. Theparameter vector is printed before training and after training. The usershould press any key to continue at these points. The parameter vectorconsists of priors (the column), and centres (given as (x, y) pairs asthe next two columns). The covariance matrices are printed separately.<p>The second figure is a 3 dimensional view of the density function,while the third shows the axes of the 1-standard deviation ellipsesfor the three components of the mixture model.<p><h2>See Also</h2><CODE><a href="gmm.htm">gmm</a></CODE>, <CODE><a href="gmminit.htm">gmminit</a></CODE>, <CODE><a href="gmmem.htm">gmmem</a></CODE>, <CODE><a href="gmmprob.htm">gmmprob</a></CODE>, <CODE><a href="gmmunpak.htm">gmmunpak</a></CODE><hr><b>Pages:</b><a href="index.htm">Index</a><hr><p>Copyright (c) Ian T Nabney (1996-9)</body></html>
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