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author Daniel Wolff
date Fri, 19 Aug 2016 13:07:06 +0200
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Daniel@0 1 <html>
Daniel@0 2 <head>
Daniel@0 3 <title>
Daniel@0 4 Netlab Reference Manual gtm
Daniel@0 5 </title>
Daniel@0 6 </head>
Daniel@0 7 <body>
Daniel@0 8 <H1> gtm
Daniel@0 9 </H1>
Daniel@0 10 <h2>
Daniel@0 11 Purpose
Daniel@0 12 </h2>
Daniel@0 13 Create a Generative Topographic Map.
Daniel@0 14
Daniel@0 15 <p><h2>
Daniel@0 16 Synopsis
Daniel@0 17 </h2>
Daniel@0 18 <PRE>
Daniel@0 19 net = gtm(dimlatent, nlatent, dimdata, ncentres, rbfunc)
Daniel@0 20 net = gtm(dimlatent, nlatent, dimdata, ncentres, rbfunc, prior)
Daniel@0 21 </PRE>
Daniel@0 22
Daniel@0 23
Daniel@0 24 <p><h2>
Daniel@0 25 Description
Daniel@0 26 </h2>
Daniel@0 27
Daniel@0 28 <p><CODE>net = gtm(dimlatent, nlatent, dimdata, ncentres, rbfunc)</CODE>,
Daniel@0 29 takes the dimension of the latent space <CODE>dimlatent</CODE>, the
Daniel@0 30 number of data points sampled in the latent space <CODE>nlatent</CODE>, the
Daniel@0 31 dimension of the data space <CODE>dimdata</CODE>, the number of centres in the
Daniel@0 32 RBF model <CODE>ncentres</CODE>, the activation function for the RBF
Daniel@0 33 <CODE>rbfunc</CODE>
Daniel@0 34 and returns a data structure <CODE>net</CODE>. The parameters in the
Daniel@0 35 RBF and GMM sub-models are set by calls to the corresponding creation routines
Daniel@0 36 <CODE>rbf</CODE> and <CODE>gmm</CODE>.
Daniel@0 37
Daniel@0 38 <p>The fields in <CODE>net</CODE> are
Daniel@0 39 <PRE>
Daniel@0 40 type = 'gtm'
Daniel@0 41 nin = dimension of data space
Daniel@0 42 dimlatent = dimension of latent space
Daniel@0 43 rbfnet = RBF network data structure
Daniel@0 44 gmmnet = GMM data structure
Daniel@0 45 X = sample of latent points
Daniel@0 46 </PRE>
Daniel@0 47
Daniel@0 48
Daniel@0 49 <p><CODE>net = gtm(dimlatent, nlatent, dimdata, ncentres, rbfunc, prior)</CODE>,
Daniel@0 50 sets a Gaussian zero mean prior on the
Daniel@0 51 parameters of the RBF model. <CODE>prior</CODE> must be a scalar and represents
Daniel@0 52 the inverse variance of the prior distribution. This gives rise to
Daniel@0 53 a weight decay term in the error function.
Daniel@0 54
Daniel@0 55 <p><h2>
Daniel@0 56 See Also
Daniel@0 57 </h2>
Daniel@0 58 <CODE><a href="gtmfwd.htm">gtmfwd</a></CODE>, <CODE><a href="gtmpost.htm">gtmpost</a></CODE>, <CODE><a href="rbf.htm">rbf</a></CODE>, <CODE><a href="gmm.htm">gmm</a></CODE><hr>
Daniel@0 59 <b>Pages:</b>
Daniel@0 60 <a href="index.htm">Index</a>
Daniel@0 61 <hr>
Daniel@0 62 <p>Copyright (c) Ian T Nabney (1996-9)
Daniel@0 63
Daniel@0 64
Daniel@0 65 </body>
Daniel@0 66 </html>