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1 <html>
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2 <head>
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3 <title>
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4 Netlab Reference Manual rbffwd
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5 </title>
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6 </head>
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7 <body>
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8 <H1> rbffwd
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9 </H1>
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10 <h2>
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11 Purpose
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12 </h2>
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13 Forward propagation through RBF network with linear outputs.
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14
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15 <p><h2>
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16 Synopsis
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17 </h2>
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18 <PRE>
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19 a = rbffwd(net, x)
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20 function [a, z, n2] = rbffwd(net, x)
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21 </PRE>
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22
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23
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24 <p><h2>
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25 Description
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26 </h2>
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27 <CODE>a = rbffwd(net, x)</CODE> takes a network data structure
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28 <CODE>net</CODE> and a matrix <CODE>x</CODE> of input
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29 vectors and forward propagates the inputs through the network to generate
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30 a matrix <CODE>a</CODE> of output vectors. Each row of <CODE>x</CODE> corresponds to one
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31 input vector and each row of <CODE>a</CODE> contains the corresponding output vector.
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32 The activation function that is used is determined by <CODE>net.actfn</CODE>.
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33
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34 <p><CODE>[a, z, n2] = rbffwd(net, x)</CODE> also generates a matrix <CODE>z</CODE> of
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35 the hidden unit activations where each row corresponds to one pattern.
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36 These hidden unit activations represent the <CODE>design matrix</CODE> for
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37 the RBF. The matrix <CODE>n2</CODE> is the squared distances between each
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38 basis function centre and each pattern in which each row corresponds
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39 to a data point.
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40
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41 <p><h2>
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42 Examples
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43 </h2>
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44 <PRE>
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45
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46 [a, z] = rbffwd(net, x);
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47
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48 <p>temp = pinv([z ones(size(x, 1), 1)]) * t;
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49 net.w2 = temp(1: nd(2), :);
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50 net.b2 = temp(size(x, nd(2)) + 1, :);
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51 </PRE>
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52
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53 Here <CODE>x</CODE> is the input data, <CODE>t</CODE> are the target values, and we use the
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54 pseudo-inverse to find the output weights and biases.
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55
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56 <p><h2>
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57 See Also
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58 </h2>
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59 <CODE><a href="rbf.htm">rbf</a></CODE>, <CODE><a href="rbferr.htm">rbferr</a></CODE>, <CODE><a href="rbfgrad.htm">rbfgrad</a></CODE>, <CODE><a href="rbfpak.htm">rbfpak</a></CODE>, <CODE><a href="rbftrain.htm">rbftrain</a></CODE>, <CODE><a href="rbfunpak.htm">rbfunpak</a></CODE><hr>
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60 <b>Pages:</b>
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61 <a href="index.htm">Index</a>
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62 <hr>
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63 <p>Copyright (c) Ian T Nabney (1996-9)
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64
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65
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66 </body>
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67 </html> |
