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1 <html>
2 <head>
3 <title>
4 Netlab Reference Manual demgmm1
5 </title>
6 </head>
7 <body>
8 <H1> demgmm1
9 </H1>
10 <h2>
11 Purpose
12 </h2>
13 Demonstrate density modelling with a Gaussian mixture model.
14
15 <p><h2>
16 Synopsis
17 </h2>
18 <PRE>
19 demgmm1</PRE>
20
21
22 <p><h2>
23 Description
24 </h2>
25 The problem consists of modelling data generated by a mixture of three
26 Gaussians in 2 dimensions. The priors are 0.3,
27 0.5 and 0.2; the centres are (2, 3.5), (0, 0) and (0,2); the variances
28 are 0.2, 0.5 and 1.0. The first figure contains a
29 scatter plot of the data.
30
31 <p>A Gaussian mixture model with three components is trained using EM. The
32 parameter vector is printed before training and after training. The user
33 should press any key to continue at these points. The parameter vector
34 consists of priors (the column), centres (given as (x, y) pairs as
35 the next two columns), and variances (the last column).
36
37 <p>The second figure is a 3 dimensional view of the density function, while
38 the third shows the 1-standard deviation circles for the three components of
39 the mixture model.
40
41 <p><h2>
42 See Also
43 </h2>
44 <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>
45 <b>Pages:</b>
46 <a href="index.htm">Index</a>
47 <hr>
48 <p>Copyright (c) Ian T Nabney (1996-9)
49
50
51 </body>
52 </html>