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date | Tue, 10 Feb 2015 15:05:51 +0000 |
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<html> <head> <title> Netlab Reference Manual rbfprior </title> </head> <body> <H1> rbfprior </H1> <h2> Purpose </h2> Create Gaussian prior and output layer mask for RBF. <p><h2> Synopsis </h2> <PRE> [mask, prior] = rbfprior(rbfunc, nin, nhidden, nout, aw2, ab2)</PRE> <p><h2> Description </h2> <CODE>[mask, prior] = rbfprior(rbfunc, nin, nhidden, nout, aw2, ab2)</CODE> generates a vector <CODE>mask</CODE> that selects only the output layer weights. This is because most uses of RBF networks in a Bayesian context have fixed basis functions with the output layer as the only adjustable parameters. In particular, the Neuroscale output error function is designed to work only with this mask. <p>The return value <CODE>prior</CODE> is a data structure, with fields <CODE>prior.alpha</CODE> and <CODE>prior.index</CODE>, which specifies a Gaussian prior distribution for the network weights in an RBF network. The parameters <CODE>aw2</CODE> and <CODE>ab2</CODE> are all scalars and represent the regularization coefficients for two groups of parameters in the network corresponding to second-layer weights, and second-layer biases respectively. Then <CODE>prior.alpha</CODE> represents a column vector of length 2 containing the parameters, and <CODE>prior.index</CODE> is a matrix specifying which weights belong in each group. Each column has one element for each weight in the matrix, using the standard ordering as defined in <CODE>rbfpak</CODE>, and each element is 1 or 0 according to whether the weight is a member of the corresponding group or not. <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="evidence.htm">evidence</a></CODE><hr> <b>Pages:</b> <a href="index.htm">Index</a> <hr> <p>Copyright (c) Ian T Nabney (1996-9) </body> </html>