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<html> <head> <title> Netlab Reference Manual rbffwd </title> </head> <body> <H1> rbffwd </H1> <h2> Purpose </h2> Forward propagation through RBF network with linear outputs. <p><h2> Synopsis </h2> <PRE> a = rbffwd(net, x) function [a, z, n2] = rbffwd(net, x) </PRE> <p><h2> Description </h2> <CODE>a = rbffwd(net, x)</CODE> takes a network data structure <CODE>net</CODE> and a matrix <CODE>x</CODE> of input vectors and forward propagates the inputs through the network to generate a matrix <CODE>a</CODE> of output vectors. Each row of <CODE>x</CODE> corresponds to one input vector and each row of <CODE>a</CODE> contains the corresponding output vector. The activation function that is used is determined by <CODE>net.actfn</CODE>. <p><CODE>[a, z, n2] = rbffwd(net, x)</CODE> also generates a matrix <CODE>z</CODE> of the hidden unit activations where each row corresponds to one pattern. These hidden unit activations represent the <CODE>design matrix</CODE> for the RBF. The matrix <CODE>n2</CODE> is the squared distances between each basis function centre and each pattern in which each row corresponds to a data point. <p><h2> Examples </h2> <PRE> [a, z] = rbffwd(net, x); <p>temp = pinv([z ones(size(x, 1), 1)]) * t; net.w2 = temp(1: nd(2), :); net.b2 = temp(size(x, nd(2)) + 1, :); </PRE> Here <CODE>x</CODE> is the input data, <CODE>t</CODE> are the target values, and we use the pseudo-inverse to find the output weights and biases. <p><h2> See Also </h2> <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> <b>Pages:</b> <a href="index.htm">Index</a> <hr> <p>Copyright (c) Ian T Nabney (1996-9) </body> </html>