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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"><!--NewPage--><HTML><HEAD><!-- Generated by javadoc (build 1.4.2_05) on Mon Mar 07 15:27:43 NZDT 2005 --><TITLE>EM</TITLE><META NAME="keywords" CONTENT="weka.clusterers.EM class"><LINK REL ="stylesheet" TYPE="text/css" HREF="../../stylesheet.css" TITLE="Style"><SCRIPT type="text/javascript">function windowTitle(){ parent.document.title="EM";}</SCRIPT></HEAD><BODY BGCOLOR="white" onload="windowTitle();"><!-- ========= START OF TOP NAVBAR ======= --><A NAME="navbar_top"><!-- --></A><A HREF="#skip-navbar_top" title="Skip navigation links"></A><TABLE BORDER="0" WIDTH="100%" CELLPADDING="1" CELLSPACING="0" SUMMARY=""><TR><TD COLSPAN=3 BGCOLOR="#EEEEFF" CLASS="NavBarCell1"><A NAME="navbar_top_firstrow"><!-- --></A><TABLE BORDER="0" CELLPADDING="0" CELLSPACING="3" SUMMARY=""> <TR ALIGN="center" VALIGN="top"> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../overview-summary.html"><FONT CLASS="NavBarFont1"><B>Overview</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-summary.html"><FONT CLASS="NavBarFont1"><B>Package</B></FONT></A> </TD> <TD BGCOLOR="#FFFFFF" CLASS="NavBarCell1Rev"> <FONT CLASS="NavBarFont1Rev"><B>Class</B></FONT> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="package-tree.html"><FONT CLASS="NavBarFont1"><B>Tree</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../deprecated-list.html"><FONT CLASS="NavBarFont1"><B>Deprecated</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../index-all.html"><FONT CLASS="NavBarFont1"><B>Index</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="../../../Tutorial.pdf"><FONT CLASS="NavBarFont1"><B>Help</B></FONT></A> </TD> <TD BGCOLOR="#EEEEFF" CLASS="NavBarCell1"> <A HREF="http://www.cs.waikato.ac.nz/ml/weka/index.html"><FONT CLASS="NavBarFont1"><B>Weka's home</B></FONT></A> </TD> </TR></TABLE></TD><TD ALIGN="right" VALIGN="top" ROWSPAN=3><EM></EM></TD></TR><TR><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../weka/clusterers/DensityBasedClusterer.html" title="class in weka.clusterers"><B>PREV CLASS</B></A> <A HREF="../../weka/clusterers/FarthestFirst.html" title="class in weka.clusterers"><B>NEXT CLASS</B></A></FONT></TD><TD BGCOLOR="white" CLASS="NavBarCell2"><FONT SIZE="-2"> <A HREF="../../index.html" target="_top"><B>FRAMES</B></A> <A HREF="EM.html" target="_top"><B>NO FRAMES</B></A> <SCRIPT type="text/javascript"> <!-- if(window==top) { document.writeln('<A HREF="../../allclasses-noframe.html"><B>All Classes</B></A>'); } //--></SCRIPT><NOSCRIPT> <A HREF="../../allclasses-noframe.html"><B>All Classes</B></A></NOSCRIPT></FONT></TD></TR><TR><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2"> SUMMARY: NESTED | FIELD | <A HREF="#constructor_summary">CONSTR</A> | <A HREF="#method_summary">METHOD</A></FONT></TD><TD VALIGN="top" CLASS="NavBarCell3"><FONT SIZE="-2">DETAIL: FIELD | <A HREF="#constructor_detail">CONSTR</A> | <A HREF="#method_detail">METHOD</A></FONT></TD></TR></TABLE><A NAME="skip-navbar_top"></A><!-- ========= END OF TOP NAVBAR ========= --><HR><!-- ======== START OF CLASS DATA ======== --><H2><FONT SIZE="-1">weka.clusterers</FONT><BR>Class EM</H2><PRE>java.lang.Object <IMG SRC="../../resources/inherit.gif" ALT="extended by"><A HREF="../../weka/clusterers/Clusterer.html" title="class in weka.clusterers">weka.clusterers.Clusterer</A> <IMG SRC="../../resources/inherit.gif" ALT="extended by"><A HREF="../../weka/clusterers/DensityBasedClusterer.html" title="class in weka.clusterers">weka.clusterers.DensityBasedClusterer</A> <IMG SRC="../../resources/inherit.gif" ALT="extended by"><B>weka.clusterers.EM</B></PRE><DL><DT><B>All Implemented Interfaces:</B> <DD>java.lang.Cloneable, <A HREF="../../weka/clusterers/NumberOfClustersRequestable.html" title="interface in weka.clusterers">NumberOfClustersRequestable</A>, <A HREF="../../weka/core/OptionHandler.html" title="interface in weka.core">OptionHandler</A>, java.io.Serializable, <A HREF="../../weka/core/WeightedInstancesHandler.html" title="interface in weka.core">WeightedInstancesHandler</A></DD></DL><HR><DL><DT>public class <B>EM</B><DT>extends <A HREF="../../weka/clusterers/DensityBasedClusterer.html" title="class in weka.clusterers">DensityBasedClusterer</A><DT>implements <A HREF="../../weka/clusterers/NumberOfClustersRequestable.html" title="interface in weka.clusterers">NumberOfClustersRequestable</A>, <A HREF="../../weka/core/OptionHandler.html" title="interface in weka.core">OptionHandler</A>, <A HREF="../../weka/core/WeightedInstancesHandler.html" title="interface in weka.core">WeightedInstancesHandler</A></DL><P>Simple EM (expectation maximisation) class. <p> EM assigns a probability distribution to each instance which indicates the probability of it belonging to each of the clusters. EM can decide how many clusters to create by cross validation, or you may specify apriori how many clusters to generate. <p> <br> The cross validation performed to determine the number of clusters is done in the following steps:<br> 1. the number of clusters is set to 1<br> 2. the training set is split randomly into 10 folds.<br> 3. EM is performed 10 times using the 10 folds the usual CV way.<br> 4. the loglikelihood is averaged over all 10 results.<br> 5. if loglikelihood has increased the number of clusters is increased by 1 and the program continues at step 2. <br><br> The number of folds is fixed to 10, as long as the number of instances in the training set is not smaller 10. If this is the case the number of folds is set equal to the number of instances.<p> Valid options are:<p> -V <br> Verbose. <p> -N <number of clusters> <br> Specify the number of clusters to generate. If omitted, EM will use cross validation to select the number of clusters automatically. <p> -I <max iterations> <br> Terminate after this many iterations if EM has not converged. <p> -S <seed> <br> Specify random number seed. <p> -M <num> <br> Set the minimum allowable standard deviation for normal density calculation. <p><P><P><DL><DT><B>Version:</B></DT> <DD>$Revision: 1.30.2.1 $</DD><DT><B>Author:</B></DT> <DD>Mark Hall (mhall@cs.waikato.ac.nz), Eibe Frank (eibe@cs.waikato.ac.nz)</DD><DT><B>See Also:</B><DD><A HREF="../../serialized-form.html#weka.clusterers.EM">Serialized Form</A></DL><HR><P><!-- ======== NESTED CLASS SUMMARY ======== --><!-- =========== FIELD SUMMARY =========== --><!-- ======== CONSTRUCTOR SUMMARY ======== --><A NAME="constructor_summary"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=2><FONT SIZE="+2"><B>Constructor Summary</B></FONT></TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#EM()">EM</A></B>()</CODE><BR> Constructor.</TD></TR></TABLE> <!-- ========== METHOD SUMMARY =========== --><A NAME="method_summary"><!-- --></A><TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY=""><TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor"><TD COLSPAN=2><FONT SIZE="+2"><B>Method Summary</B></FONT></TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> void</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#buildClusterer(weka.core.Instances)">buildClusterer</A></B>(<A HREF="../../weka/core/Instances.html" title="class in weka.core">Instances</A> data)</CODE><BR> Generates a clusterer.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> double[]</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#clusterPriors()">clusterPriors</A></B>()</CODE><BR> Returns the cluster priors.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> double[][][]</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#getClusterModelsNumericAtts()">getClusterModelsNumericAtts</A></B>()</CODE><BR> Return the normal distributions for the cluster models</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> double[]</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#getClusterPriors()">getClusterPriors</A></B>()</CODE><BR> Return the priors for the clusters</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> boolean</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#getDebug()">getDebug</A></B>()</CODE><BR> Get debug mode</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> int</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#getMaxIterations()">getMaxIterations</A></B>()</CODE><BR> Get the maximum number of iterations</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> double</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#getMinStdDev()">getMinStdDev</A></B>()</CODE><BR> Get the minimum allowable standard deviation.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> int</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#getNumClusters()">getNumClusters</A></B>()</CODE><BR> Get the number of clusters</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> java.lang.String[]</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#getOptions()">getOptions</A></B>()</CODE><BR> Gets the current settings of EM.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> int</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#getSeed()">getSeed</A></B>()</CODE><BR> Get the random number seed</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> java.lang.String</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#globalInfo()">globalInfo</A></B>()</CODE><BR> Returns a string describing this clusterer</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> java.util.Enumeration</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#listOptions()">listOptions</A></B>()</CODE><BR> Returns an enumeration describing the available options..</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> double[]</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#logDensityPerClusterForInstance(weka.core.Instance)">logDensityPerClusterForInstance</A></B>(<A HREF="../../weka/core/Instance.html" title="class in weka.core">Instance</A> inst)</CODE><BR> Computes the log of the conditional density (per cluster) for a given instance.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE>static void</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#main(java.lang.String[])">main</A></B>(java.lang.String[] argv)</CODE><BR> Main method for testing this class.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> java.lang.String</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#maxIterationsTipText()">maxIterationsTipText</A></B>()</CODE><BR> Returns the tip text for this property</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> java.lang.String</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#minStdDevTipText()">minStdDevTipText</A></B>()</CODE><BR> Returns the tip text for this property</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> int</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#numberOfClusters()">numberOfClusters</A></B>()</CODE><BR> Returns the number of clusters.</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> java.lang.String</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#numClustersTipText()">numClustersTipText</A></B>()</CODE><BR> Returns the tip text for this property</TD></TR><TR BGCOLOR="white" CLASS="TableRowColor"><TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1"><CODE> java.lang.String</CODE></FONT></TD><TD><CODE><B><A HREF="../../weka/clusterers/EM.html#seedTipText()">seedTipText</A></B>()</CODE><BR> Returns the tip text for this property</TD></TR>
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