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+<html>
+<head>
+<title>
+Netlab Reference Manual mdnfwd
+</title>
+</head>
+<body>
+<H1> mdnfwd
+</H1>
+<h2>
+Purpose
+</h2>
+Forward propagation through Mixture Density Network.
+
+<p><h2>
+Synopsis
+</h2>
+<PRE>
+mixparams = mdnfwd(net, x)
+[mixparams, y, z] = mdnfwd(net, x)
+[mixparams, y, z, a] = mdnfwd(net, x)
+</PRE>
+
+
+<p><h2>
+Description
+</h2>
+
+<CODE>mixparams = mdnfwd(net, x)</CODE> takes a mixture density 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 structure
+<CODE>mixparams</CODE> which contains the parameters of several mixture models.  
+Each row of <CODE>x</CODE> represents
+one input vector and the corresponding row of the matrices in <CODE>mixparams</CODE> 
+represents the parameters of a mixture model for the conditional probability
+of target vectors given the input vector.  This is not represented as an array
+of <CODE>gmm</CODE> structures to improve the efficiency of MDN training.
+
+<p>The fields in <CODE>mixparams</CODE> are
+<PRE>
+
+  type = 'mdnmixes'
+  ncentres = number of mixture components
+  dimtarget = dimension of target space
+  mixcoeffs = mixing coefficients
+  centres = means of Gaussians: stored as one row per pattern
+  covars = covariances of Gaussians
+  nparams = number of parameters
+</PRE>
+
+
+<p><CODE>[mixparams, y, z] = mdnfwd(net, x)</CODE> also generates a matrix <CODE>y</CODE> of
+the outputs of the MLP and a matrix <CODE>z</CODE> of the hidden
+unit activations where each row corresponds to one pattern.
+
+<p><CODE>[mixparams, y, z, a] = mlpfwd(net, x)</CODE> also returns a matrix <CODE>a</CODE> 
+giving the summed inputs to each output unit, where each row 
+corresponds to one pattern.
+
+<p><h2>
+See Also
+</h2>
+<CODE><a href="mdn.htm">mdn</a></CODE>, <CODE><a href="mdn2gmm.htm">mdn2gmm</a></CODE>, <CODE><a href="mdnerr.htm">mdnerr</a></CODE>, <CODE><a href="mdngrad.htm">mdngrad</a></CODE>, <CODE><a href="mlpfwd.htm">mlpfwd</a></CODE><hr>
+<b>Pages:</b>
+<a href="index.htm">Index</a>
+<hr>
+<p>Copyright (c) Ian T Nabney (1996-9)
+<p>David J Evans (1998)
+
+</body>
+</html>
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