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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">GRIDSEARCH</b><td valign="baseline" align="right" class="function"><a href="../misc/index.html" target="mdsdir"><img border = 0 src="../up.gif"></a></table>  <p><b>Function minimization using grid search.
</b></p>  <hr><div class='code'><code><span class=help>
</span><br><span class=help>&nbsp;<span class=help_field>Synopsis:</span></span><br><span class=help>&nbsp;&nbsp;[min_x,min_y,X,Y]=gridsearch(Min,Max,Grid,nloops,fun)
</span><br><span class=help>&nbsp;&nbsp;[min_x,min_y,X,Y]=gridsearch(Min,Max,Grid,nloops,fun,varargin)
</span><br><span class=help>
</span><br><span class=help>&nbsp;<span class=help_field>Descritpion:</span></span><br><span class=help>&nbsp;&nbsp;This&nbsp;function&nbsp;implements&nbsp;the&nbsp;grid&nbsp;search&nbsp;to&nbsp;find&nbsp;the&nbsp;minimum
</span><br><span class=help>&nbsp;&nbsp;of&nbsp;a&nbsp;given&nbsp;function&nbsp;y&nbsp;=&nbsp;fun(x),&nbsp;x&nbsp;\in&nbsp;X.
</span><br><span class=help>&nbsp;&nbsp;The&nbsp;domain&nbsp;X&nbsp;is&nbsp;discretized&nbsp;to&nbsp;the&nbsp;grid&nbsp;with&nbsp;minimal&nbsp;and&nbsp;
</span><br><span class=help>&nbsp;&nbsp;maximal&nbsp;point&nbsp;given&nbsp;by&nbsp;Min&nbsp;and&nbsp;Max&nbsp;respectively.&nbsp;Number&nbsp;of&nbsp;points&nbsp;
</span><br><span class=help>&nbsp;&nbsp;of&nbsp;the&nbsp;grid&nbsp;is&nbsp;given&nbsp;by&nbsp;Grid.&nbsp;The&nbsp;Max,&nbsp;Min&nbsp;and&nbsp;Grid&nbsp;are&nbsp;vectors
</span><br><span class=help>&nbsp;&nbsp;their&nbsp;entries&nbsp;correspond&nbsp;to&nbsp;individual&nbsp;dimensions&nbsp;of&nbsp;X.
</span><br><span class=help>&nbsp;&nbsp;After&nbsp;the&nbsp;mininum&nbsp;is&nbsp;found&nbsp;then&nbsp;the&nbsp;grid&nbsp;search&nbsp;is&nbsp;recursively&nbsp;
</span><br><span class=help>&nbsp;&nbsp;repeated&nbsp;with&nbsp;a&nbsp;finer&nbsp;grid.&nbsp;Number&nbsp;of&nbsp;nested&nbsp;loops&nbsp;is&nbsp;given&nbsp;by&nbsp;nloops.&nbsp;
</span><br><span class=help>&nbsp;&nbsp;The&nbsp;string&nbsp;fun&nbsp;determines&nbsp;function&nbsp;to&nbsp;be&nbsp;minimized.&nbsp;The&nbsp;function&nbsp;is&nbsp;
</span><br><span class=help>&nbsp;&nbsp;&nbsp;called&nbsp;as&nbsp;y=feval(fun,x,varargin{:}).
</span><br><span class=help>&nbsp;&nbsp;
</span><br><span class=help>&nbsp;<span class=help_field>Input:</span></span><br><span class=help>&nbsp;&nbsp;Min&nbsp;[dim&nbsp;x&nbsp;1]&nbsp;Minimum&nbsp;point&nbsp;of&nbsp;the&nbsp;grid.
</span><br><span class=help>&nbsp;&nbsp;Max&nbsp;[dim&nbsp;x&nbsp;1]&nbsp;Maximum&nbsp;point&nbsp;of&nbsp;the&nbsp;grid.
</span><br><span class=help>&nbsp;&nbsp;Grid&nbsp;[dim&nbsp;x&nbsp;1]&nbsp;Number&nbsp;of&nbsp;point&nbsp;in&nbsp;the&nbsp;grid,&nbsp;i.e.&nbsp;grid&nbsp;density.
</span><br><span class=help>&nbsp;&nbsp;nloops&nbsp;[1x1]&nbsp;Number&nbsp;of&nbsp;nested&nbsp;loops&nbsp;of&nbsp;the&nbsp;grid&nbsp;search.
</span><br><span class=help>&nbsp;&nbsp;fun&nbsp;[string]&nbsp;Identifies&nbsp;the&nbsp;minimized&nbsp;function.
</span><br><span class=help>&nbsp;&nbsp;varargin&nbsp;[cell]&nbsp;Additional&nbsp;arguments&nbsp;of&nbsp;the&nbsp;minimized&nbsp;function.
</span><br><span class=help>
</span><br><span class=help>&nbsp;<span class=help_field>Output:</span></span><br><span class=help>&nbsp;&nbsp;min_x&nbsp;[dim&nbsp;x&nbsp;1]&nbsp;Found&nbsp;minimum.
</span><br><span class=help>&nbsp;&nbsp;min_y&nbsp;[1x1]&nbsp;min_y&nbsp;=&nbsp;fun(min_x).
</span><br><span class=help>&nbsp;&nbsp;X&nbsp;[dim&nbsp;x&nbsp;n]&nbsp;Points&nbsp;which&nbsp;the&nbsp;grid&nbsp;search&nbsp;checked&nbsp;through.
</span><br><span class=help>&nbsp;&nbsp;Y&nbsp;[1&nbsp;x&nbsp;n]&nbsp;Y(i)=fun(X(:,i)).
</span><br><span class=help>
</span><br><span class=help>&nbsp;<span class=help_field>Example:</span></span><br><span class=help>&nbsp;&nbsp;[min_x,min_y,X,Y]=gridsearch(0,10,10,3,'sin');
</span><br><span class=help>&nbsp;&nbsp;figure;&nbsp;grid&nbsp;on;&nbsp;hold&nbsp;on;
</span><br><span class=help>&nbsp;&nbsp;plot(X,Y,'.');
</span><br><span class=help>&nbsp;&nbsp;plot(min_x,min_y,'+r');
</span><br><span class=help>
</span><br></code></div>  <hr>  <b>Source:</b> <a href= "../misc/list/gridsearch.html">gridsearch.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>  18-July-2003, VF
<br>  17-July-2003, VF
<br></body></html>

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