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<html><head> <meta HTTP-EQUIV="Content-Type" CONTENT="text/html;charset=ISO-8859-1"> <title>knorm.m</title><link rel="stylesheet" type="text/css" href="../../m-syntax.css"></head><body><code><span class=defun_kw>function</span> <span class=defun_out>kn </span>= <span class=defun_name>knorm</span>(<span class=defun_in>X,Alpha,ker,arg</span>)
<br><span class=h1>% KNORM Computes L2-norm in kernel space.
</span><br><span class=help>%
</span><br><span class=help>% <span class=help_field>Synopsis:</span></span><br><span class=help>% kn = knorm(X,Alpha,ker,arg)
</span><br><span class=help>%
</span><br><span class=help>% <span class=help_field>Description:</span></span><br><span class=help>% kn = knorm(X,Alpha,ker,arg) computes kn = sqrt(Alpha'*K*Alpha)
</span><br><span class=help>% where K = kernel(X,ker,arg) is the kernel matrix.
</span><br><span class=help>%
</span><br><span class=help>% <span class=help_field>Input:</span></span><br><span class=help>% Alpha [num_data x 1] Expansion coefficients (weights).
</span><br><span class=help>% X [dim x num_data] Data vectors.
</span><br><span class=help>% ker [string] Kernel identifier (see "help kernel").
</span><br><span class=help>% arg [...] Kernel argument.
</span><br><span class=help>%
</span><br><span class=help>% <span class=help_field>Ouput:</span></span><br><span class=help>% kn [1x1] Norm in the kernel space.
</span><br><span class=help>%
</span><br><span class=help>% See also:
</span><br><span class=help>% KERNEL, KERNELPROJ.
</span><br><span class=help>%
</span><br><hr><br><span class=help1>% <span class=help1_field>About:</span> Statistical Pattern Recognition Toolbox
</span><br><span class=help1>% (C) 1999-2004, Written by Vojtech Franc and Vaclav Hlavac
</span><br><span class=help1>% <a href="http://www.cvut.cz">Czech Technical University Prague</a>
</span><br><span class=help1>% <a href="http://www.feld.cvut.cz">Faculty of Electrical Engineering</a>
</span><br><span class=help1>% <a href="http://cmp.felk.cvut.cz">Center for Machine Perception</a>
</span><br><br><span class=help1>% <span class=help1_field>Modifications:</span>
</span><br><span class=help1>% 08-oct-2004, created
</span><br><br><hr>kn = sqrt( kernelproj_mex(X, Alpha(:), 0, X, ker, arg)*Alpha(:) );
<br>
<br><span class=jump>return</span>;
<br>
<br><span class=comment>% EOF
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