?? kernel.html
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<html><head> <meta HTTP-EQUIV="Content-Type" CONTENT="text/html;charset=ISO-8859-1"> <title>Contents.m</title><link rel="stylesheet" type="text/css" href="../stpr.css"></head><body><table border=0 width="100%" cellpadding=0 cellspacing=0><tr valign="baseline"><td valign="baseline" class="function"><b class="function">KERNEL</b><td valign="baseline" align="right" class="function"><a href="../kernels/index.html" target="mdsdir"><img border = 0 src="../up.gif"></a></table> <p><b>Evaluates kernel function.</b></p> <hr><div class='code'><code><span class=help></span><br><span class=help> <span class=help_field>Synopsis:</span></span><br><span class=help> K = kernel(X,ker,arg)</span><br><span class=help> K = kernel(X1,X2,ker,arg)</span><br><span class=help></span><br><span class=help> <span class=help_field>Description:</span></span><br><span class=help> K = kernel( X, ker, arg ) returns kernel matrix K [n x n] </span><br><span class=help></span><br><span class=help> K(i,j) = k(X(:,i),X(:,j)) for all i=1..n, j=1..n,</span><br><span class=help></span><br><span class=help> where k: a x b -> R is a kernel function given by </span><br><span class=help> identifier ker and argument arg:</span><br><span class=help> </span><br><span class=help> Identifier Name Definition</span><br><span class=help> 'linear' ... linear kernel k(a,b) = a'*b</span><br><span class=help> 'poly' ... polynomial k(a,b) = (a'*b+arg[2])^arg[1]</span><br><span class=help> 'rbf' ... RBF (Gaussian) k(a,b) = exp(-0.5*||a-b||^2/arg[1]^2)</span><br><span class=help> 'sigmoid' ... Sigmoidal k(a,b) = tanh(arg[1]*(a'*b)+arg[2])</span><br><span class=help></span><br><span class=help> K = kernel( X1, X2, ker, arg ) returns kernel matrix K [n1 x n2]</span><br><span class=help> </span><br><span class=help> K(i,j) = k(X1(:,i),X2(:,j)) for all i=1..n1, j=1..n2,</span><br><span class=help></span><br><span class=help> <span class=help_field>Input:</span></span><br><span class=help> X [dim x n] Single matrix of input vectors.</span><br><span class=help> X1 [dim x n1], X2 [dim x n2] Pair of input matrices.</span><br><span class=help> ker [string] Kernel identifier.</span><br><span class=help> arg [1 x narg] Kernel argument.</span><br><span class=help></span><br><span class=help> <span class=help_field>Output:</span></span><br><span class=help> K [n1 x n1] or K [n1 x n2] Kernel matrix.</span><br><span class=help> </span><br><span class=help> <span class=help_field>Example:</span></span><br><span class=help> X = rand(2,50);</span><br><span class=help> K = kernel( X, 'rbf', 1);</span><br><span class=help> figure; pcolor( K );</span><br><span class=help></span><br><span class=help> See also:</span><br><span class=help> DIAGKER, KERNELPROJ.</span><br><span class=help></span><br></code></div> <hr> <b>Source:</b> <a href= "../kernels/list/kernel.html">kernel.m</a> <p><b class="info_field">About: </b> Statistical Pattern Recognition Toolbox<br> (C) 1999-2003, Written by Vojtech Franc and Vaclav Hlavac<br> <a href="http://www.cvut.cz">Czech Technical University Prague</a><br> <a href="http://www.feld.cvut.cz">Faculty of Electrical Engineering</a><br> <a href="http://cmp.felk.cvut.cz">Center for Machine Perception</a><br> <p><b class="info_field">Modifications: </b> <br> 19-sep-2004, VF<br> 5-may-2004, VF<br></body></html>
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