183 lines
24 KiB
HTML
183 lines
24 KiB
HTML
|
|
|
|
<!doctype html>
|
|
|
|
<html>
|
|
<head>
|
|
<meta charset="utf-8" />
|
|
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
|
|
<title>pyFTS.partitioners.SubClust — pyFTS 1.7 documentation</title>
|
|
<link rel="stylesheet" type="text/css" href="../../../_static/pygments.css" />
|
|
<link rel="stylesheet" type="text/css" href="../../../_static/bizstyle.css" />
|
|
|
|
<script data-url_root="../../../" id="documentation_options" src="../../../_static/documentation_options.js"></script>
|
|
<script src="../../../_static/jquery.js"></script>
|
|
<script src="../../../_static/underscore.js"></script>
|
|
<script src="../../../_static/doctools.js"></script>
|
|
<script src="../../../_static/bizstyle.js"></script>
|
|
<link rel="index" title="Index" href="../../../genindex.html" />
|
|
<link rel="search" title="Search" href="../../../search.html" />
|
|
<meta name="viewport" content="width=device-width,initial-scale=1.0" />
|
|
<!--[if lt IE 9]>
|
|
<script src="_static/css3-mediaqueries.js"></script>
|
|
<![endif]-->
|
|
</head><body>
|
|
<div class="related" role="navigation" aria-label="related navigation">
|
|
<h3>Navigation</h3>
|
|
<ul>
|
|
<li class="right" style="margin-right: 10px">
|
|
<a href="../../../genindex.html" title="General Index"
|
|
accesskey="I">index</a></li>
|
|
<li class="right" >
|
|
<a href="../../../py-modindex.html" title="Python Module Index"
|
|
>modules</a> |</li>
|
|
<li class="nav-item nav-item-0"><a href="../../../index.html">pyFTS 1.7 documentation</a> »</li>
|
|
<li class="nav-item nav-item-1"><a href="../../index.html" accesskey="U">Module code</a> »</li>
|
|
<li class="nav-item nav-item-this"><a href="">pyFTS.partitioners.SubClust</a></li>
|
|
</ul>
|
|
</div>
|
|
|
|
<div class="document">
|
|
<div class="documentwrapper">
|
|
<div class="bodywrapper">
|
|
<div class="body" role="main">
|
|
|
|
<h1>Source code for pyFTS.partitioners.SubClust</h1><div class="highlight"><pre>
|
|
<span></span><span class="sd">"""</span>
|
|
<span class="sd">Chiu, Stephen L. "Fuzzy model identification based on cluster estimation." Journal of Intelligent & fuzzy systems 2.3 (1994): 267-278.</span>
|
|
<span class="sd">"""</span>
|
|
|
|
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
|
|
<span class="kn">import</span> <span class="nn">math</span>
|
|
<span class="kn">import</span> <span class="nn">random</span> <span class="k">as</span> <span class="nn">rnd</span>
|
|
<span class="kn">import</span> <span class="nn">functools</span><span class="o">,</span> <span class="nn">operator</span>
|
|
<span class="kn">from</span> <span class="nn">pyFTS.common</span> <span class="kn">import</span> <span class="n">FuzzySet</span><span class="p">,</span> <span class="n">Membership</span>
|
|
<span class="kn">from</span> <span class="nn">pyFTS.partitioners</span> <span class="kn">import</span> <span class="n">partitioner</span>
|
|
|
|
|
|
<div class="viewcode-block" id="imax"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.SubClust.imax">[docs]</a><span class="k">def</span> <span class="nf">imax</span><span class="p">(</span><span class="n">vec</span><span class="p">):</span>
|
|
<span class="n">i</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">argmax</span><span class="p">(</span><span class="n">vec</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">vec</span><span class="p">[</span><span class="n">i</span><span class="p">])</span></div>
|
|
|
|
|
|
<div class="viewcode-block" id="subclust"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.SubClust.subclust">[docs]</a><span class="k">def</span> <span class="nf">subclust</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">ra</span><span class="p">,</span> <span class="n">rb</span><span class="p">,</span> <span class="n">eps_sup</span><span class="p">,</span> <span class="n">eps_inf</span><span class="p">):</span>
|
|
<span class="k">if</span> <span class="nb">len</span><span class="p">(</span><span class="n">data</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
|
|
<span class="n">data</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="p">(</span><span class="n">data</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="mi">1</span><span class="p">))</span>
|
|
|
|
<span class="n">centers</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="n">data</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span>
|
|
|
|
<span class="c1"># Initial potentials</span>
|
|
<span class="n">alpha</span> <span class="o">=</span> <span class="mi">4</span><span class="o">/</span><span class="n">ra</span><span class="o">**</span><span class="mi">2</span>
|
|
<span class="n">beta</span> <span class="o">=</span> <span class="mi">4</span><span class="o">/</span><span class="n">rb</span><span class="o">**</span><span class="mi">2</span>
|
|
|
|
<span class="n">pot</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">data</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
|
|
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">data</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]):</span>
|
|
<span class="n">pot</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">alpha</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="n">data</span> <span class="o">-</span> <span class="n">data</span><span class="p">[</span><span class="n">i</span><span class="p">,:],</span> <span class="n">axis</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">))</span>
|
|
|
|
<span class="n">pot_max_i</span><span class="p">,</span> <span class="n">pot_max</span> <span class="o">=</span> <span class="n">imax</span><span class="p">(</span><span class="n">pot</span><span class="p">)</span>
|
|
|
|
<span class="n">current_pot_max</span> <span class="o">=</span> <span class="n">pot_max</span>
|
|
<span class="k">while</span> <span class="n">current_pot_max</span><span class="p">:</span>
|
|
<span class="n">x_star</span> <span class="o">=</span> <span class="n">data</span><span class="p">[</span><span class="n">pot_max_i</span><span class="p">,:]</span>
|
|
<span class="n">accept</span> <span class="o">=</span> <span class="kc">False</span>
|
|
<span class="k">if</span> <span class="n">current_pot_max</span> <span class="o">></span> <span class="n">eps_sup</span> <span class="o">*</span> <span class="n">pot_max</span><span class="p">:</span>
|
|
<span class="c1"># Accept xk as a cluster center and continue</span>
|
|
<span class="n">accept</span> <span class="o">=</span> <span class="kc">True</span>
|
|
<span class="k">elif</span> <span class="n">current_pot_max</span> <span class="o"><=</span> <span class="n">eps_inf</span> <span class="o">*</span> <span class="n">pot_max</span><span class="p">:</span>
|
|
<span class="c1"># Reject xk and end the clustering process</span>
|
|
<span class="k">break</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">d_min</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">min</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="n">x_star</span> <span class="o">-</span> <span class="n">centers</span><span class="p">))</span>
|
|
<span class="k">if</span> <span class="n">d_min</span><span class="o">/</span><span class="n">ra</span> <span class="o">+</span> <span class="n">current_pot_max</span><span class="o">/</span><span class="n">pot_max</span> <span class="o">>=</span> <span class="mi">1</span><span class="p">:</span>
|
|
<span class="n">accept</span> <span class="o">=</span> <span class="kc">True</span>
|
|
<span class="k">else</span><span class="p">:</span>
|
|
<span class="n">pot</span><span class="p">[</span><span class="n">pot_max_i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
|
|
<span class="n">pot_max_i</span><span class="p">,</span> <span class="n">current_pot_max</span> <span class="o">=</span> <span class="n">imax</span><span class="p">(</span><span class="n">pot</span><span class="p">)</span>
|
|
<span class="k">if</span> <span class="n">accept</span><span class="p">:</span>
|
|
<span class="n">centers</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">vstack</span><span class="p">((</span><span class="n">centers</span><span class="p">,</span> <span class="n">x_star</span><span class="p">))</span>
|
|
<span class="c1"># Recompute potentials</span>
|
|
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">data</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]):</span>
|
|
<span class="n">new_pot</span> <span class="o">=</span> <span class="n">pot</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">-</span> <span class="n">current_pot_max</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="o">-</span><span class="n">beta</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">norm</span><span class="p">(</span><span class="n">x_star</span> <span class="o">-</span> <span class="n">data</span><span class="p">[</span><span class="n">i</span><span class="p">,:])</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
|
|
<span class="n">new_pot</span> <span class="o">=</span> <span class="nb">max</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="n">new_pot</span><span class="p">)</span>
|
|
<span class="n">pot</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">new_pot</span>
|
|
<span class="n">pot_max_i</span><span class="p">,</span> <span class="n">current_pot_max</span> <span class="o">=</span> <span class="n">imax</span><span class="p">(</span><span class="n">pot</span><span class="p">)</span>
|
|
<span class="k">return</span> <span class="n">centers</span></div>
|
|
|
|
|
|
<div class="viewcode-block" id="SubClustPartitioner"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.SubClust.SubClustPartitioner">[docs]</a><span class="k">class</span> <span class="nc">SubClustPartitioner</span><span class="p">(</span><span class="n">partitioner</span><span class="o">.</span><span class="n">Partitioner</span><span class="p">):</span>
|
|
<span class="w"> </span><span class="sd">"""Subtractive Clustering Partitioner"""</span>
|
|
<span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">ra</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">'ra'</span><span class="p">,</span> <span class="mf">0.8</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">rb</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">'rb'</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">ra</span> <span class="o">*</span> <span class="mf">1.5</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">eps_sup</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">'eps_sup'</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">)</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">eps_inf</span> <span class="o">=</span> <span class="n">kwargs</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s1">'eps_inf'</span><span class="p">,</span> <span class="mf">0.15</span><span class="p">)</span>
|
|
<span class="nb">super</span><span class="p">(</span><span class="n">SubClustPartitioner</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="fm">__init__</span><span class="p">(</span><span class="n">name</span><span class="o">=</span><span class="s2">"SubClust"</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
|
|
|
|
<div class="viewcode-block" id="SubClustPartitioner.build"><a class="viewcode-back" href="../../../pyFTS.partitioners.html#pyFTS.partitioners.SubClust.SubClustPartitioner.build">[docs]</a> <span class="k">def</span> <span class="nf">build</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">data</span><span class="p">):</span>
|
|
<span class="n">sets</span> <span class="o">=</span> <span class="p">{}</span>
|
|
|
|
<span class="n">kwargs</span> <span class="o">=</span> <span class="p">{</span><span class="s1">'type'</span><span class="p">:</span> <span class="bp">self</span><span class="o">.</span><span class="n">type</span><span class="p">,</span> <span class="s1">'variable'</span><span class="p">:</span> <span class="bp">self</span><span class="o">.</span><span class="n">variable</span><span class="p">}</span>
|
|
|
|
<span class="n">partitions</span> <span class="o">=</span> <span class="n">subclust</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">ra</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">rb</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">epssup</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">epsinf</span><span class="p">)</span>
|
|
<span class="n">partitions</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">reshape</span><span class="p">(</span><span class="n">partitions</span><span class="p">,</span> <span class="n">partitions</span><span class="o">.</span><span class="n">shape</span><span class="p">[</span><span class="mi">0</span><span class="p">]))</span>
|
|
<span class="n">partitions</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">min</span><span class="p">)</span>
|
|
<span class="n">partitions</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">max</span><span class="p">)</span>
|
|
<span class="n">partitions</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="nb">set</span><span class="p">(</span><span class="n">partitions</span><span class="p">))</span>
|
|
<span class="n">partitions</span><span class="o">.</span><span class="n">sort</span><span class="p">()</span>
|
|
<span class="bp">self</span><span class="o">.</span><span class="n">partitions</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">partitions</span><span class="p">)</span>
|
|
<span class="k">for</span> <span class="n">c</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">partitions</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
|
|
<span class="n">_name</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">get_name</span><span class="p">(</span><span class="n">c</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span>
|
|
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">membership_function</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trimf</span><span class="p">:</span>
|
|
<span class="n">sets</span><span class="p">[</span><span class="n">_name</span><span class="p">]</span> <span class="o">=</span> <span class="n">FuzzySet</span><span class="o">.</span><span class="n">FuzzySet</span><span class="p">(</span><span class="n">_name</span><span class="p">,</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trimf</span><span class="p">,</span>
|
|
<span class="p">[</span><span class="n">partitions</span><span class="p">[</span><span class="n">c</span> <span class="o">-</span> <span class="mi">1</span><span class="p">],</span> <span class="n">partitions</span><span class="p">[</span><span class="n">c</span><span class="p">],</span> <span class="n">partitions</span><span class="p">[</span><span class="n">c</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]],</span><span class="n">partitions</span><span class="p">[</span><span class="n">c</span><span class="p">],</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
|
|
<span class="k">elif</span> <span class="bp">self</span><span class="o">.</span><span class="n">membership_function</span> <span class="o">==</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trapmf</span><span class="p">:</span>
|
|
<span class="n">b1</span> <span class="o">=</span> <span class="p">(</span><span class="n">partitions</span><span class="p">[</span><span class="n">c</span><span class="p">]</span> <span class="o">-</span> <span class="n">partitions</span><span class="p">[</span><span class="n">c</span> <span class="o">-</span> <span class="mi">1</span><span class="p">])</span><span class="o">/</span><span class="mi">2</span>
|
|
<span class="n">b2</span> <span class="o">=</span> <span class="p">(</span><span class="n">partitions</span><span class="p">[</span><span class="n">c</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="n">partitions</span><span class="p">[</span><span class="n">c</span><span class="p">])</span> <span class="o">/</span> <span class="mi">2</span>
|
|
<span class="n">sets</span><span class="p">[</span><span class="n">_name</span><span class="p">]</span> <span class="o">=</span> <span class="n">FuzzySet</span><span class="o">.</span><span class="n">FuzzySet</span><span class="p">(</span><span class="n">_name</span><span class="p">,</span> <span class="n">Membership</span><span class="o">.</span><span class="n">trapmf</span><span class="p">,</span>
|
|
<span class="p">[</span><span class="n">partitions</span><span class="p">[</span><span class="n">c</span> <span class="o">-</span> <span class="mi">1</span><span class="p">],</span> <span class="n">partitions</span><span class="p">[</span><span class="n">c</span><span class="p">]</span> <span class="o">-</span> <span class="n">b1</span><span class="p">,</span>
|
|
<span class="n">partitions</span><span class="p">[</span><span class="n">c</span><span class="p">]</span> <span class="o">+</span> <span class="n">b2</span><span class="p">,</span> <span class="n">partitions</span><span class="p">[</span><span class="n">c</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]],</span>
|
|
<span class="n">partitions</span><span class="p">[</span><span class="n">c</span><span class="p">],</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
|
|
|
|
<span class="k">return</span> <span class="n">sets</span></div></div>
|
|
</pre></div>
|
|
|
|
<div class="clearer"></div>
|
|
</div>
|
|
</div>
|
|
</div>
|
|
<div class="sphinxsidebar" role="navigation" aria-label="main navigation">
|
|
<div class="sphinxsidebarwrapper">
|
|
<div id="searchbox" style="display: none" role="search">
|
|
<h3 id="searchlabel">Quick search</h3>
|
|
<div class="searchformwrapper">
|
|
<form class="search" action="../../../search.html" method="get">
|
|
<input type="text" name="q" aria-labelledby="searchlabel" autocomplete="off" autocorrect="off" autocapitalize="off" spellcheck="false"/>
|
|
<input type="submit" value="Go" />
|
|
</form>
|
|
</div>
|
|
</div>
|
|
<script>$('#searchbox').show(0);</script>
|
|
</div>
|
|
</div>
|
|
<div class="clearer"></div>
|
|
</div>
|
|
<div class="related" role="navigation" aria-label="related navigation">
|
|
<h3>Navigation</h3>
|
|
<ul>
|
|
<li class="right" style="margin-right: 10px">
|
|
<a href="../../../genindex.html" title="General Index"
|
|
>index</a></li>
|
|
<li class="right" >
|
|
<a href="../../../py-modindex.html" title="Python Module Index"
|
|
>modules</a> |</li>
|
|
<li class="nav-item nav-item-0"><a href="../../../index.html">pyFTS 1.7 documentation</a> »</li>
|
|
<li class="nav-item nav-item-1"><a href="../../index.html" >Module code</a> »</li>
|
|
<li class="nav-item nav-item-this"><a href="">pyFTS.partitioners.SubClust</a></li>
|
|
</ul>
|
|
</div>
|
|
<div class="footer" role="contentinfo">
|
|
© Copyright 2022, Machine Intelligence and Data Science Laboratory - UFMG - Brazil.
|
|
Created using <a href="https://www.sphinx-doc.org/">Sphinx</a> 4.3.2.
|
|
</div>
|
|
</body>
|
|
</html> |