Daniel@0: Daniel@0: Daniel@0: Daniel@0: Netlab Reference Manual demgmm1 Daniel@0: Daniel@0: Daniel@0: Daniel@0:

demgmm1 Daniel@0:

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Daniel@0: Purpose Daniel@0:

Daniel@0: Demonstrate density modelling with a Gaussian mixture model. Daniel@0: Daniel@0:

Daniel@0: Synopsis Daniel@0:

Daniel@0:
Daniel@0: demgmm1
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Daniel@0: Description Daniel@0:

Daniel@0: The problem consists of modelling data generated by a mixture of three Daniel@0: Gaussians in 2 dimensions. The priors are 0.3, Daniel@0: 0.5 and 0.2; the centres are (2, 3.5), (0, 0) and (0,2); the variances Daniel@0: are 0.2, 0.5 and 1.0. The first figure contains a Daniel@0: scatter plot of the data. Daniel@0: Daniel@0:

A Gaussian mixture model with three components is trained using EM. The Daniel@0: parameter vector is printed before training and after training. The user Daniel@0: should press any key to continue at these points. The parameter vector Daniel@0: consists of priors (the column), centres (given as (x, y) pairs as Daniel@0: the next two columns), and variances (the last column). Daniel@0: Daniel@0:

The second figure is a 3 dimensional view of the density function, while Daniel@0: the third shows the 1-standard deviation circles for the three components of Daniel@0: the mixture model. Daniel@0: Daniel@0:

Daniel@0: See Also Daniel@0:

Daniel@0: gmm, gmminit, gmmem, gmmprob, gmmunpak
Daniel@0: Pages: Daniel@0: Index Daniel@0:
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Copyright (c) Ian T Nabney (1996-9) Daniel@0: Daniel@0: Daniel@0: Daniel@0: