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+<!-- ======== START OF CLASS DATA ======== -->
+<div class="header">
+<div class="subTitle">org.apache.commons.math3.distribution.fitting</div>
+<h2 title="Class MultivariateNormalMixtureExpectationMaximization" class="title">Class MultivariateNormalMixtureExpectationMaximization</h2>
+</div>
+<div class="contentContainer">
+<ul class="inheritance">
+<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
+<li>
+<ul class="inheritance">
+<li>org.apache.commons.math3.distribution.fitting.MultivariateNormalMixtureExpectationMaximization</li>
+</ul>
+</li>
+</ul>
+<div class="description">
+<ul class="blockList">
+<li class="blockList">
+<hr>
+<br>
+<pre>public class <span class="strong">MultivariateNormalMixtureExpectationMaximization</span>
+extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
+<div class="block">Expectation-Maximization</a> algorithm for fitting the parameters of
+ multivariate normal mixture model distributions.
+
+ This implementation is pure original code based on <a
+ href="https://www.ee.washington.edu/techsite/papers/documents/UWEETR-2010-0002.pdf">
+ EM Demystified: An Expectation-Maximization Tutorial</a> by Yihua Chen and Maya R. Gupta,
+ Department of Electrical Engineering, University of Washington, Seattle, WA 98195.
+ It was verified using external tools like <a
+ href="http://cran.r-project.org/web/packages/mixtools/index.html">CRAN Mixtools</a>
+ (see the JUnit test cases) but it is <strong>not</strong> based on Mixtools code at all.
+ The discussion of the origin of this class can be seen in the comments of the <a
+ href="https://issues.apache.org/jira/browse/MATH-817">MATH-817</a> JIRA issue.</div>
+<dl><dt><span class="strong">Since:</span></dt>
+ <dd>3.2</dd></dl>
+</li>
+</ul>
+</div>
+<div class="summary">
+<ul class="blockList">
+<li class="blockList">
+<!-- ======== CONSTRUCTOR SUMMARY ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_summary">
+<!-- -->
+</a>
+<h3>Constructor Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
+<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colOne" scope="col">Constructor and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#MultivariateNormalMixtureExpectationMaximization(double[][])">MultivariateNormalMixtureExpectationMaximization</a></strong>(double[][]&nbsp;data)</code>
+<div class="block">Creates an object to fit a multivariate normal mixture model to data.</div>
+</td>
+</tr>
+</table>
+</li>
+</ul>
+<!-- ========== METHOD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_summary">
+<!-- -->
+</a>
+<h3>Method Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
+<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Method and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#estimate(double[][],%20int)">estimate</a></strong>(double[][]&nbsp;data,
+ int&nbsp;numComponents)</code>
+<div class="block">Helper method to create a multivariate normal mixture model which can be
+ used to initialize <a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution)"><code>fit(MixtureMultivariateNormalDistribution)</code></a>.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>void</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution)">fit</a></strong>(<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;initialMixture)</code>
+<div class="block">Fit a mixture model to the data supplied to the constructor.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>void</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution,%20int,%20double)">fit</a></strong>(<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;initialMixture,
+ int&nbsp;maxIterations,
+ double&nbsp;threshold)</code>
+<div class="block">Fit a mixture model to the data supplied to the constructor.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code><a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a></code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#getFittedModel()">getFittedModel</a></strong>()</code>
+<div class="block">Gets the fitted model.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#getLogLikelihood()">getLogLikelihood</a></strong>()</code>
+<div class="block">Gets the log likelihood of the data under the fitted model.</div>
+</td>
+</tr>
+</table>
+<ul class="blockList">
+<li class="blockList"><a name="methods_inherited_from_class_java.lang.Object">
+<!-- -->
+</a>
+<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
+<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+<div class="details">
+<ul class="blockList">
+<li class="blockList">
+<!-- ========= CONSTRUCTOR DETAIL ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_detail">
+<!-- -->
+</a>
+<h3>Constructor Detail</h3>
+<a name="MultivariateNormalMixtureExpectationMaximization(double[][])">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>MultivariateNormalMixtureExpectationMaximization</h4>
+<pre>public&nbsp;MultivariateNormalMixtureExpectationMaximization(double[][]&nbsp;data)
+ throws <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
+<div class="block">Creates an object to fit a multivariate normal mixture model to data.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>data</code> - Data to use in fitting procedure</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if data has no rows</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if rows of data have different numbers
+ of columns</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if the number of columns in the data is
+ less than 2</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ============ METHOD DETAIL ========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_detail">
+<!-- -->
+</a>
+<h3>Method Detail</h3>
+<a name="fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution, int, double)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>fit</h4>
+<pre>public&nbsp;void&nbsp;fit(<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;initialMixture,
+ int&nbsp;maxIterations,
+ double&nbsp;threshold)
+ throws <a href="../../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
+<div class="block">Fit a mixture model to the data supplied to the constructor.
+
+ The quality of the fit depends on the concavity of the data provided to
+ the constructor and the initial mixture provided to this function. If the
+ data has many local optima, multiple runs of the fitting function with
+ different initial mixtures may be required to find the optimal solution.
+ If a SingularMatrixException is encountered, it is possible that another
+ initialization would work.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>initialMixture</code> - Model containing initial values of weights and
+ multivariate normals</dd><dd><code>maxIterations</code> - Maximum iterations allowed for fit</dd><dd><code>threshold</code> - Convergence threshold computed as difference in
+ logLikelihoods between successive iterations</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a></code> - if any component's covariance matrix is
+ singular during fitting</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if numComponents is less than one
+ or threshold is less than Double.MIN_VALUE</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if initialMixture mean vector and data
+ number of columns are not equal</dd></dl>
+</li>
+</ul>
+<a name="fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>fit</h4>
+<pre>public&nbsp;void&nbsp;fit(<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;initialMixture)
+ throws <a href="../../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></pre>
+<div class="block">Fit a mixture model to the data supplied to the constructor.
+
+ The quality of the fit depends on the concavity of the data provided to
+ the constructor and the initial mixture provided to this function. If the
+ data has many local optima, multiple runs of the fitting function with
+ different initial mixtures may be required to find the optimal solution.
+ If a SingularMatrixException is encountered, it is possible that another
+ initialization would work.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>initialMixture</code> - Model containing initial values of weights and
+ multivariate normals</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/linear/SingularMatrixException.html" title="class in org.apache.commons.math3.linear">SingularMatrixException</a></code> - if any component's covariance matrix is
+ singular during fitting</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if numComponents is less than one or
+ threshold is less than Double.MIN_VALUE</dd></dl>
+</li>
+</ul>
+<a name="estimate(double[][], int)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>estimate</h4>
+<pre>public static&nbsp;<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;estimate(double[][]&nbsp;data,
+ int&nbsp;numComponents)
+ throws <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
+ <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
+<div class="block">Helper method to create a multivariate normal mixture model which can be
+ used to initialize <a href="../../../../../../org/apache/commons/math3/distribution/fitting/MultivariateNormalMixtureExpectationMaximization.html#fit(org.apache.commons.math3.distribution.MixtureMultivariateNormalDistribution)"><code>fit(MixtureMultivariateNormalDistribution)</code></a>.
+
+ This method uses the data supplied to the constructor to try to determine
+ a good mixture model at which to start the fit, but it is not guaranteed
+ to supply a model which will find the optimal solution or even converge.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>data</code> - Data to estimate distribution</dd><dd><code>numComponents</code> - Number of components for estimated mixture</dd>
+<dt><span class="strong">Returns:</span></dt><dd>Multivariate normal mixture model estimated from the data</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>numComponents</code> is greater
+ than the number of data rows.</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if <code>numComponents &lt; 2</code>.</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if data has less than 2 rows</dd>
+<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if rows of data have different numbers
+ of columns</dd></dl>
+</li>
+</ul>
+<a name="getLogLikelihood()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getLogLikelihood</h4>
+<pre>public&nbsp;double&nbsp;getLogLikelihood()</pre>
+<div class="block">Gets the log likelihood of the data under the fitted model.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>Log likelihood of data or zero of no data has been fit</dd></dl>
+</li>
+</ul>
+<a name="getFittedModel()">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>getFittedModel</h4>
+<pre>public&nbsp;<a href="../../../../../../org/apache/commons/math3/distribution/MixtureMultivariateNormalDistribution.html" title="class in org.apache.commons.math3.distribution">MixtureMultivariateNormalDistribution</a>&nbsp;getFittedModel()</pre>
+<div class="block">Gets the fitted model.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>fitted model or <code>null</code> if no fit has been performed yet.</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+</div>
+<!-- ========= END OF CLASS DATA ========= -->
+<!-- ======= START OF BOTTOM NAVBAR ====== -->
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