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lorenz_cluster.html
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<html>
<head>
<title>
LORENZ_CLUSTER - Cluster Lorenz Equation Data.
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
LORENZ_CLUSTER <br> Cluster Lorenz Equation Data.
</h1>
<hr>
<p>
<b>LORENZ_CLUSTER</b>
is a MATLAB library which
takes N points on a trajectory of solutions to the Lorenz equations
and applies the K-Means algorithm to organize the data into K clusters.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>LORENZ_CLUSTER</b> is available in
<a href = "../../m_src/lorenz_cluster/lorenz_cluster.html">a MATLAB version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/kmeans/kmeans.html">
KMEANS</a>,
a MATLAB library which
contains several different algorithms for the K-Means problem,
which organizes a set of N points in M dimensions into K clusters;
</p>
<p>
<a href = "../../m_src/kmeans_fast/kmeans_fast.html">
KMEANS_FAST</a>,
a MATLAB library which
contains several different algorithms for the K-Means problem,
which organizes a set of N points in M dimensions into K clusters,
by Charles Elkan.
</p>
<p>
<a href = "../../m_src/lorenz_ode/lorenz_ode.html">
LORENZ_ODE</a>,
a MATLAB program which
approximates solutions to the Lorenz system,
creating output files that can be displayed by Gnuplot.
</p>
<p>
<a href = "../../m_src/matlab_kmeans/matlab_kmeans.html">
MATLAB_KMEANS</a>,
MATLAB programs which
illustrate the use of MATLAB's kmeans() function for clustering
N sets of M-dimensional data into K clusters.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Eurika Kaiser, Bernd Noack, Laurent Cordier, Andreas Spohn,
Marc Segond, Markus Abel, Guillaume Daviller, Robert Niven,<br>
Cluster-based reduced-order modelling of a mixing layer,<br>
Submitted to Journal of Fluid Mechanics.
</li>
</ol>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "lorenz_cluster_test.m">lorenz_cluster_test.m</a>,
calls all the tests.
</li>
<li>
<a href = "lorenz_cluster_test01.m">lorenz_cluster_test01.m</a>,
divides a 4001 point dataset into 10 clusters.
</li>
<li>
<a href = "lorenz_cluster_test_output.txt">lorenz_cluster_test_output.txt</a>,
the output file.
</li>
<li>
<a href = "timestamp.m">timestamp.m</a>,
prints the YMDHMS date as a timestamp.
</li>
</ul>
</p>
<p>
There are data files read by the sample code:
<ul>
<li>
<a href = "x_m3_n4001.txt">x_m3_n4001.txt</a>,
4001 points on a trajectory of solutions of the Lorenz equations.
</li>
<li>
<a href = "x_m3_n4001.png">x_m3_n4001.png</a>,
an image of the points.
</li>
<li>
<a href = "x_m3_n4001_k10.png">x_m3_n4001_k10.png</a>,
an image of the points color-coded into 4 clusters.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 15 October 2013.
</i>
<!-- John Burkardt -->
</body>
</html>