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  <h1>Source code for pyspark.mllib.clustering</h1><div class="highlight"><pre>
<span class="c">#</span>
<span class="c"># Licensed to the Apache Software Foundation (ASF) under one or more</span>
<span class="c"># contributor license agreements.  See the NOTICE file distributed with</span>
<span class="c"># this work for additional information regarding copyright ownership.</span>
<span class="c"># The ASF licenses this file to You under the Apache License, Version 2.0</span>
<span class="c"># (the &quot;License&quot;); you may not use this file except in compliance with</span>
<span class="c"># the License.  You may obtain a copy of the License at</span>
<span class="c">#</span>
<span class="c">#    http://www.apache.org/licenses/LICENSE-2.0</span>
<span class="c">#</span>
<span class="c"># Unless required by applicable law or agreed to in writing, software</span>
<span class="c"># distributed under the License is distributed on an &quot;AS IS&quot; BASIS,</span>
<span class="c"># WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</span>
<span class="c"># See the License for the specific language governing permissions and</span>
<span class="c"># limitations under the License.</span>
<span class="c">#</span>

<span class="kn">import</span> <span class="nn">sys</span>
<span class="kn">import</span> <span class="nn">array</span> <span class="kn">as</span> <span class="nn">pyarray</span>

<span class="k">if</span> <span class="n">sys</span><span class="o">.</span><span class="n">version</span> <span class="o">&gt;</span> <span class="s">&#39;3&#39;</span><span class="p">:</span>
    <span class="nb">xrange</span> <span class="o">=</span> <span class="nb">range</span>
    <span class="nb">basestring</span> <span class="o">=</span> <span class="nb">str</span>

<span class="kn">from</span> <span class="nn">math</span> <span class="kn">import</span> <span class="n">exp</span><span class="p">,</span> <span class="n">log</span>

<span class="kn">from</span> <span class="nn">numpy</span> <span class="kn">import</span> <span class="n">array</span><span class="p">,</span> <span class="n">random</span><span class="p">,</span> <span class="n">tile</span>

<span class="kn">from</span> <span class="nn">collections</span> <span class="kn">import</span> <span class="n">namedtuple</span>

<span class="kn">from</span> <span class="nn">pyspark</span> <span class="kn">import</span> <span class="n">SparkContext</span>
<span class="kn">from</span> <span class="nn">pyspark.rdd</span> <span class="kn">import</span> <span class="n">RDD</span><span class="p">,</span> <span class="n">ignore_unicode_prefix</span>
<span class="kn">from</span> <span class="nn">pyspark.mllib.common</span> <span class="kn">import</span> <span class="n">JavaModelWrapper</span><span class="p">,</span> <span class="n">callMLlibFunc</span><span class="p">,</span> <span class="n">callJavaFunc</span><span class="p">,</span> <span class="n">_py2java</span><span class="p">,</span> <span class="n">_java2py</span>
<span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">SparseVector</span><span class="p">,</span> <span class="n">_convert_to_vector</span><span class="p">,</span> <span class="n">DenseVector</span>
<span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
<span class="kn">from</span> <span class="nn">pyspark.mllib.stat.distribution</span> <span class="kn">import</span> <span class="n">MultivariateGaussian</span>
<span class="kn">from</span> <span class="nn">pyspark.mllib.util</span> <span class="kn">import</span> <span class="n">Saveable</span><span class="p">,</span> <span class="n">Loader</span><span class="p">,</span> <span class="n">inherit_doc</span><span class="p">,</span> <span class="n">JavaLoader</span><span class="p">,</span> <span class="n">JavaSaveable</span>
<span class="kn">from</span> <span class="nn">pyspark.streaming</span> <span class="kn">import</span> <span class="n">DStream</span>

<span class="n">__all__</span> <span class="o">=</span> <span class="p">[</span><span class="s">&#39;KMeansModel&#39;</span><span class="p">,</span> <span class="s">&#39;KMeans&#39;</span><span class="p">,</span> <span class="s">&#39;GaussianMixtureModel&#39;</span><span class="p">,</span> <span class="s">&#39;GaussianMixture&#39;</span><span class="p">,</span>
           <span class="s">&#39;PowerIterationClusteringModel&#39;</span><span class="p">,</span> <span class="s">&#39;PowerIterationClustering&#39;</span><span class="p">,</span>
           <span class="s">&#39;StreamingKMeans&#39;</span><span class="p">,</span> <span class="s">&#39;StreamingKMeansModel&#39;</span><span class="p">,</span>
           <span class="s">&#39;LDA&#39;</span><span class="p">,</span> <span class="s">&#39;LDAModel&#39;</span><span class="p">]</span>


<span class="nd">@inherit_doc</span>
<div class="viewcode-block" id="KMeansModel"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.KMeansModel">[docs]</a><span class="k">class</span> <span class="nc">KMeansModel</span><span class="p">(</span><span class="n">Saveable</span><span class="p">,</span> <span class="n">Loader</span><span class="p">):</span>

    <span class="sd">&quot;&quot;&quot;A clustering model derived from the k-means method.</span>

<span class="sd">    &gt;&gt;&gt; data = array([0.0,0.0, 1.0,1.0, 9.0,8.0, 8.0,9.0]).reshape(4, 2)</span>
<span class="sd">    &gt;&gt;&gt; model = KMeans.train(</span>
<span class="sd">    ...     sc.parallelize(data), 2, maxIterations=10, runs=30, initializationMode=&quot;random&quot;,</span>
<span class="sd">    ...                    seed=50, initializationSteps=5, epsilon=1e-4)</span>
<span class="sd">    &gt;&gt;&gt; model.predict(array([0.0, 0.0])) == model.predict(array([1.0, 1.0]))</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; model.predict(array([8.0, 9.0])) == model.predict(array([9.0, 8.0]))</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; model.k</span>
<span class="sd">    2</span>
<span class="sd">    &gt;&gt;&gt; model.computeCost(sc.parallelize(data))</span>
<span class="sd">    2.0000000000000004</span>
<span class="sd">    &gt;&gt;&gt; model = KMeans.train(sc.parallelize(data), 2)</span>
<span class="sd">    &gt;&gt;&gt; sparse_data = [</span>
<span class="sd">    ...     SparseVector(3, {1: 1.0}),</span>
<span class="sd">    ...     SparseVector(3, {1: 1.1}),</span>
<span class="sd">    ...     SparseVector(3, {2: 1.0}),</span>
<span class="sd">    ...     SparseVector(3, {2: 1.1})</span>
<span class="sd">    ... ]</span>
<span class="sd">    &gt;&gt;&gt; model = KMeans.train(sc.parallelize(sparse_data), 2, initializationMode=&quot;k-means||&quot;,</span>
<span class="sd">    ...                                     seed=50, initializationSteps=5, epsilon=1e-4)</span>
<span class="sd">    &gt;&gt;&gt; model.predict(array([0., 1., 0.])) == model.predict(array([0, 1.1, 0.]))</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; model.predict(array([0., 0., 1.])) == model.predict(array([0, 0, 1.1]))</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; model.predict(sparse_data[0]) == model.predict(sparse_data[1])</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; model.predict(sparse_data[2]) == model.predict(sparse_data[3])</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; isinstance(model.clusterCenters, list)</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; import os, tempfile</span>
<span class="sd">    &gt;&gt;&gt; path = tempfile.mkdtemp()</span>
<span class="sd">    &gt;&gt;&gt; model.save(sc, path)</span>
<span class="sd">    &gt;&gt;&gt; sameModel = KMeansModel.load(sc, path)</span>
<span class="sd">    &gt;&gt;&gt; sameModel.predict(sparse_data[0]) == model.predict(sparse_data[0])</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; from shutil import rmtree</span>
<span class="sd">    &gt;&gt;&gt; try:</span>
<span class="sd">    ...     rmtree(path)</span>
<span class="sd">    ... except OSError:</span>
<span class="sd">    ...     pass</span>
<span class="sd">    &quot;&quot;&quot;</span>

    <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">centers</span><span class="p">):</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">centers</span> <span class="o">=</span> <span class="n">centers</span>

    <span class="nd">@property</span>
    <span class="k">def</span> <span class="nf">clusterCenters</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Get the cluster centers, represented as a list of NumPy arrays.&quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">centers</span>

    <span class="nd">@property</span>
    <span class="k">def</span> <span class="nf">k</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Total number of clusters.&quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">centers</span><span class="p">)</span>

<div class="viewcode-block" id="KMeansModel.predict"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.KMeansModel.predict">[docs]</a>    <span class="k">def</span> <span class="nf">predict</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Find the cluster to which x belongs in this model.&quot;&quot;&quot;</span>
        <span class="n">best</span> <span class="o">=</span> <span class="mi">0</span>
        <span class="n">best_distance</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="s">&quot;inf&quot;</span><span class="p">)</span>
        <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">RDD</span><span class="p">):</span>
            <span class="k">return</span> <span class="n">x</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">predict</span><span class="p">)</span>

        <span class="n">x</span> <span class="o">=</span> <span class="n">_convert_to_vector</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
        <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">xrange</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">centers</span><span class="p">)):</span>
            <span class="n">distance</span> <span class="o">=</span> <span class="n">x</span><span class="o">.</span><span class="n">squared_distance</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">centers</span><span class="p">[</span><span class="n">i</span><span class="p">])</span>
            <span class="k">if</span> <span class="n">distance</span> <span class="o">&lt;</span> <span class="n">best_distance</span><span class="p">:</span>
                <span class="n">best</span> <span class="o">=</span> <span class="n">i</span>
                <span class="n">best_distance</span> <span class="o">=</span> <span class="n">distance</span>
        <span class="k">return</span> <span class="n">best</span>
</div>
<div class="viewcode-block" id="KMeansModel.computeCost"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.KMeansModel.computeCost">[docs]</a>    <span class="k">def</span> <span class="nf">computeCost</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">rdd</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Return the K-means cost (sum of squared distances of points to</span>
<span class="sd">        their nearest center) for this model on the given data.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="n">cost</span> <span class="o">=</span> <span class="n">callMLlibFunc</span><span class="p">(</span><span class="s">&quot;computeCostKmeansModel&quot;</span><span class="p">,</span> <span class="n">rdd</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">_convert_to_vector</span><span class="p">),</span>
                             <span class="p">[</span><span class="n">_convert_to_vector</span><span class="p">(</span><span class="n">c</span><span class="p">)</span> <span class="k">for</span> <span class="n">c</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">centers</span><span class="p">])</span>
        <span class="k">return</span> <span class="n">cost</span>
</div>
<div class="viewcode-block" id="KMeansModel.save"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.KMeansModel.save">[docs]</a>    <span class="k">def</span> <span class="nf">save</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">):</span>
        <span class="n">java_centers</span> <span class="o">=</span> <span class="n">_py2java</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="p">[</span><span class="n">_convert_to_vector</span><span class="p">(</span><span class="n">c</span><span class="p">)</span> <span class="k">for</span> <span class="n">c</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">centers</span><span class="p">])</span>
        <span class="n">java_model</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">_jvm</span><span class="o">.</span><span class="n">org</span><span class="o">.</span><span class="n">apache</span><span class="o">.</span><span class="n">spark</span><span class="o">.</span><span class="n">mllib</span><span class="o">.</span><span class="n">clustering</span><span class="o">.</span><span class="n">KMeansModel</span><span class="p">(</span><span class="n">java_centers</span><span class="p">)</span>
        <span class="n">java_model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">_jsc</span><span class="o">.</span><span class="n">sc</span><span class="p">(),</span> <span class="n">path</span><span class="p">)</span>
</div>
    <span class="nd">@classmethod</span>
<div class="viewcode-block" id="KMeansModel.load"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.KMeansModel.load">[docs]</a>    <span class="k">def</span> <span class="nf">load</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">):</span>
        <span class="n">java_model</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">_jvm</span><span class="o">.</span><span class="n">org</span><span class="o">.</span><span class="n">apache</span><span class="o">.</span><span class="n">spark</span><span class="o">.</span><span class="n">mllib</span><span class="o">.</span><span class="n">clustering</span><span class="o">.</span><span class="n">KMeansModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">_jsc</span><span class="o">.</span><span class="n">sc</span><span class="p">(),</span> <span class="n">path</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">KMeansModel</span><span class="p">(</span><span class="n">_java2py</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">java_model</span><span class="o">.</span><span class="n">clusterCenters</span><span class="p">()))</span>

</div></div>
<div class="viewcode-block" id="KMeans"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.KMeans">[docs]</a><span class="k">class</span> <span class="nc">KMeans</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>

    <span class="nd">@classmethod</span>
<div class="viewcode-block" id="KMeans.train"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.KMeans.train">[docs]</a>    <span class="k">def</span> <span class="nf">train</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">rdd</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">maxIterations</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">runs</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">initializationMode</span><span class="o">=</span><span class="s">&quot;k-means||&quot;</span><span class="p">,</span>
              <span class="n">seed</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">initializationSteps</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">epsilon</span><span class="o">=</span><span class="mf">1e-4</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Train a k-means clustering model.&quot;&quot;&quot;</span>
        <span class="n">model</span> <span class="o">=</span> <span class="n">callMLlibFunc</span><span class="p">(</span><span class="s">&quot;trainKMeansModel&quot;</span><span class="p">,</span> <span class="n">rdd</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">_convert_to_vector</span><span class="p">),</span> <span class="n">k</span><span class="p">,</span> <span class="n">maxIterations</span><span class="p">,</span>
                              <span class="n">runs</span><span class="p">,</span> <span class="n">initializationMode</span><span class="p">,</span> <span class="n">seed</span><span class="p">,</span> <span class="n">initializationSteps</span><span class="p">,</span> <span class="n">epsilon</span><span class="p">)</span>
        <span class="n">centers</span> <span class="o">=</span> <span class="n">callJavaFunc</span><span class="p">(</span><span class="n">rdd</span><span class="o">.</span><span class="n">context</span><span class="p">,</span> <span class="n">model</span><span class="o">.</span><span class="n">clusterCenters</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">KMeansModel</span><span class="p">([</span><span class="n">c</span><span class="o">.</span><span class="n">toArray</span><span class="p">()</span> <span class="k">for</span> <span class="n">c</span> <span class="ow">in</span> <span class="n">centers</span><span class="p">])</span>

</div></div>
<span class="nd">@inherit_doc</span>
<div class="viewcode-block" id="GaussianMixtureModel"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.GaussianMixtureModel">[docs]</a><span class="k">class</span> <span class="nc">GaussianMixtureModel</span><span class="p">(</span><span class="n">JavaModelWrapper</span><span class="p">,</span> <span class="n">JavaSaveable</span><span class="p">,</span> <span class="n">JavaLoader</span><span class="p">):</span>

    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    .. note:: Experimental</span>

<span class="sd">    A clustering model derived from the Gaussian Mixture Model method.</span>

<span class="sd">    &gt;&gt;&gt; from pyspark.mllib.linalg import Vectors, DenseMatrix</span>
<span class="sd">    &gt;&gt;&gt; from numpy.testing import assert_equal</span>
<span class="sd">    &gt;&gt;&gt; from shutil import rmtree</span>
<span class="sd">    &gt;&gt;&gt; import os, tempfile</span>

<span class="sd">    &gt;&gt;&gt; clusterdata_1 =  sc.parallelize(array([-0.1,-0.05,-0.01,-0.1,</span>
<span class="sd">    ...                                         0.9,0.8,0.75,0.935,</span>
<span class="sd">    ...                                        -0.83,-0.68,-0.91,-0.76 ]).reshape(6, 2))</span>
<span class="sd">    &gt;&gt;&gt; model = GaussianMixture.train(clusterdata_1, 3, convergenceTol=0.0001,</span>
<span class="sd">    ...                                 maxIterations=50, seed=10)</span>
<span class="sd">    &gt;&gt;&gt; labels = model.predict(clusterdata_1).collect()</span>
<span class="sd">    &gt;&gt;&gt; labels[0]==labels[1]</span>
<span class="sd">    False</span>
<span class="sd">    &gt;&gt;&gt; labels[1]==labels[2]</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; labels[4]==labels[5]</span>
<span class="sd">    True</span>

<span class="sd">    &gt;&gt;&gt; path = tempfile.mkdtemp()</span>
<span class="sd">    &gt;&gt;&gt; model.save(sc, path)</span>
<span class="sd">    &gt;&gt;&gt; sameModel = GaussianMixtureModel.load(sc, path)</span>
<span class="sd">    &gt;&gt;&gt; assert_equal(model.weights, sameModel.weights)</span>
<span class="sd">    &gt;&gt;&gt; mus, sigmas = list(</span>
<span class="sd">    ...     zip(*[(g.mu, g.sigma) for g in model.gaussians]))</span>
<span class="sd">    &gt;&gt;&gt; sameMus, sameSigmas = list(</span>
<span class="sd">    ...     zip(*[(g.mu, g.sigma) for g in sameModel.gaussians]))</span>
<span class="sd">    &gt;&gt;&gt; mus == sameMus</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; sigmas == sameSigmas</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; from shutil import rmtree</span>
<span class="sd">    &gt;&gt;&gt; try:</span>
<span class="sd">    ...     rmtree(path)</span>
<span class="sd">    ... except OSError:</span>
<span class="sd">    ...     pass</span>

<span class="sd">    &gt;&gt;&gt; data =  array([-5.1971, -2.5359, -3.8220,</span>
<span class="sd">    ...                -5.2211, -5.0602,  4.7118,</span>
<span class="sd">    ...                 6.8989, 3.4592,  4.6322,</span>
<span class="sd">    ...                 5.7048,  4.6567, 5.5026,</span>
<span class="sd">    ...                 4.5605,  5.2043,  6.2734])</span>
<span class="sd">    &gt;&gt;&gt; clusterdata_2 = sc.parallelize(data.reshape(5,3))</span>
<span class="sd">    &gt;&gt;&gt; model = GaussianMixture.train(clusterdata_2, 2, convergenceTol=0.0001,</span>
<span class="sd">    ...                               maxIterations=150, seed=10)</span>
<span class="sd">    &gt;&gt;&gt; labels = model.predict(clusterdata_2).collect()</span>
<span class="sd">    &gt;&gt;&gt; labels[0]==labels[1]==labels[2]</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; labels[3]==labels[4]</span>
<span class="sd">    True</span>
<span class="sd">    &quot;&quot;&quot;</span>

    <span class="nd">@property</span>
    <span class="k">def</span> <span class="nf">weights</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Weights for each Gaussian distribution in the mixture, where weights[i] is</span>
<span class="sd">        the weight for Gaussian i, and weights.sum == 1.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="n">array</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">call</span><span class="p">(</span><span class="s">&quot;weights&quot;</span><span class="p">))</span>

    <span class="nd">@property</span>
    <span class="k">def</span> <span class="nf">gaussians</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Array of MultivariateGaussian where gaussians[i] represents</span>
<span class="sd">        the Multivariate Gaussian (Normal) Distribution for Gaussian i.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="p">[</span>
            <span class="n">MultivariateGaussian</span><span class="p">(</span><span class="n">gaussian</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">gaussian</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
            <span class="k">for</span> <span class="n">gaussian</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="o">*</span><span class="bp">self</span><span class="o">.</span><span class="n">call</span><span class="p">(</span><span class="s">&quot;gaussians&quot;</span><span class="p">))]</span>

    <span class="nd">@property</span>
    <span class="k">def</span> <span class="nf">k</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Number of gaussians in mixture.&quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">weights</span><span class="p">)</span>

<div class="viewcode-block" id="GaussianMixtureModel.predict"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.GaussianMixtureModel.predict">[docs]</a>    <span class="k">def</span> <span class="nf">predict</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Find the cluster to which the points in &#39;x&#39; has maximum membership</span>
<span class="sd">        in this model.</span>

<span class="sd">        :param x:    RDD of data points.</span>
<span class="sd">        :return:     cluster_labels. RDD of cluster labels.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">RDD</span><span class="p">):</span>
            <span class="n">cluster_labels</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">predictSoft</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">z</span><span class="p">:</span> <span class="n">z</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="nb">max</span><span class="p">(</span><span class="n">z</span><span class="p">)))</span>
            <span class="k">return</span> <span class="n">cluster_labels</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;x should be represented by an RDD, &quot;</span>
                            <span class="s">&quot;but got </span><span class="si">%s</span><span class="s">.&quot;</span> <span class="o">%</span> <span class="nb">type</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>
</div>
<div class="viewcode-block" id="GaussianMixtureModel.predictSoft"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.GaussianMixtureModel.predictSoft">[docs]</a>    <span class="k">def</span> <span class="nf">predictSoft</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Find the membership of each point in &#39;x&#39; to all mixture components.</span>

<span class="sd">        :param x:    RDD of data points.</span>
<span class="sd">        :return:     membership_matrix. RDD of array of double values.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">RDD</span><span class="p">):</span>
            <span class="n">means</span><span class="p">,</span> <span class="n">sigmas</span> <span class="o">=</span> <span class="nb">zip</span><span class="p">(</span><span class="o">*</span><span class="p">[(</span><span class="n">g</span><span class="o">.</span><span class="n">mu</span><span class="p">,</span> <span class="n">g</span><span class="o">.</span><span class="n">sigma</span><span class="p">)</span> <span class="k">for</span> <span class="n">g</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">gaussians</span><span class="p">])</span>
            <span class="n">membership_matrix</span> <span class="o">=</span> <span class="n">callMLlibFunc</span><span class="p">(</span><span class="s">&quot;predictSoftGMM&quot;</span><span class="p">,</span> <span class="n">x</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">_convert_to_vector</span><span class="p">),</span>
                                              <span class="n">_convert_to_vector</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">weights</span><span class="p">),</span> <span class="n">means</span><span class="p">,</span> <span class="n">sigmas</span><span class="p">)</span>
            <span class="k">return</span> <span class="n">membership_matrix</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">pyarray</span><span class="o">.</span><span class="n">array</span><span class="p">(</span><span class="s">&#39;d&#39;</span><span class="p">,</span> <span class="n">x</span><span class="p">))</span>
        <span class="k">else</span><span class="p">:</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;x should be represented by an RDD, &quot;</span>
                            <span class="s">&quot;but got </span><span class="si">%s</span><span class="s">.&quot;</span> <span class="o">%</span> <span class="nb">type</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>
</div>
    <span class="nd">@classmethod</span>
<div class="viewcode-block" id="GaussianMixtureModel.load"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.GaussianMixtureModel.load">[docs]</a>    <span class="k">def</span> <span class="nf">load</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Load the GaussianMixtureModel from disk.</span>

<span class="sd">        :param sc: SparkContext</span>
<span class="sd">        :param path: str, path to where the model is stored.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="n">model</span> <span class="o">=</span> <span class="n">cls</span><span class="o">.</span><span class="n">_load_java</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
        <span class="n">wrapper</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">_jvm</span><span class="o">.</span><span class="n">GaussianMixtureModelWrapper</span><span class="p">(</span><span class="n">model</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">cls</span><span class="p">(</span><span class="n">wrapper</span><span class="p">)</span>

</div></div>
<div class="viewcode-block" id="GaussianMixture"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.GaussianMixture">[docs]</a><span class="k">class</span> <span class="nc">GaussianMixture</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    .. note:: Experimental</span>

<span class="sd">    Learning algorithm for Gaussian Mixtures using the expectation-maximization algorithm.</span>

<span class="sd">    :param data:            RDD of data points</span>
<span class="sd">    :param k:               Number of components</span>
<span class="sd">    :param convergenceTol:  Threshold value to check the convergence criteria. Defaults to 1e-3</span>
<span class="sd">    :param maxIterations:   Number of iterations. Default to 100</span>
<span class="sd">    :param seed:            Random Seed</span>
<span class="sd">    :param initialModel:    GaussianMixtureModel for initializing learning</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="nd">@classmethod</span>
<div class="viewcode-block" id="GaussianMixture.train"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.GaussianMixture.train">[docs]</a>    <span class="k">def</span> <span class="nf">train</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">rdd</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">convergenceTol</span><span class="o">=</span><span class="mf">1e-3</span><span class="p">,</span> <span class="n">maxIterations</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">initialModel</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Train a Gaussian Mixture clustering model.&quot;&quot;&quot;</span>
        <span class="n">initialModelWeights</span> <span class="o">=</span> <span class="bp">None</span>
        <span class="n">initialModelMu</span> <span class="o">=</span> <span class="bp">None</span>
        <span class="n">initialModelSigma</span> <span class="o">=</span> <span class="bp">None</span>
        <span class="k">if</span> <span class="n">initialModel</span> <span class="ow">is</span> <span class="ow">not</span> <span class="bp">None</span><span class="p">:</span>
            <span class="k">if</span> <span class="n">initialModel</span><span class="o">.</span><span class="n">k</span> <span class="o">!=</span> <span class="n">k</span><span class="p">:</span>
                <span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s">&quot;Mismatched cluster count, initialModel.k = </span><span class="si">%s</span><span class="s">, however k = </span><span class="si">%s</span><span class="s">&quot;</span>
                                <span class="o">%</span> <span class="p">(</span><span class="n">initialModel</span><span class="o">.</span><span class="n">k</span><span class="p">,</span> <span class="n">k</span><span class="p">))</span>
            <span class="n">initialModelWeights</span> <span class="o">=</span> <span class="n">initialModel</span><span class="o">.</span><span class="n">weights</span>
            <span class="n">initialModelMu</span> <span class="o">=</span> <span class="p">[</span><span class="n">initialModel</span><span class="o">.</span><span class="n">gaussians</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">.</span><span class="n">mu</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">initialModel</span><span class="o">.</span><span class="n">k</span><span class="p">)]</span>
            <span class="n">initialModelSigma</span> <span class="o">=</span> <span class="p">[</span><span class="n">initialModel</span><span class="o">.</span><span class="n">gaussians</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">.</span><span class="n">sigma</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">initialModel</span><span class="o">.</span><span class="n">k</span><span class="p">)]</span>
        <span class="n">java_model</span> <span class="o">=</span> <span class="n">callMLlibFunc</span><span class="p">(</span><span class="s">&quot;trainGaussianMixtureModel&quot;</span><span class="p">,</span> <span class="n">rdd</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">_convert_to_vector</span><span class="p">),</span>
                                   <span class="n">k</span><span class="p">,</span> <span class="n">convergenceTol</span><span class="p">,</span> <span class="n">maxIterations</span><span class="p">,</span> <span class="n">seed</span><span class="p">,</span>
                                   <span class="n">initialModelWeights</span><span class="p">,</span> <span class="n">initialModelMu</span><span class="p">,</span> <span class="n">initialModelSigma</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">GaussianMixtureModel</span><span class="p">(</span><span class="n">java_model</span><span class="p">)</span>

</div></div>
<div class="viewcode-block" id="PowerIterationClusteringModel"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.PowerIterationClusteringModel">[docs]</a><span class="k">class</span> <span class="nc">PowerIterationClusteringModel</span><span class="p">(</span><span class="n">JavaModelWrapper</span><span class="p">,</span> <span class="n">JavaSaveable</span><span class="p">,</span> <span class="n">JavaLoader</span><span class="p">):</span>

    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    .. note:: Experimental</span>

<span class="sd">    Model produced by [[PowerIterationClustering]].</span>

<span class="sd">    &gt;&gt;&gt; data = [(0, 1, 1.0), (0, 2, 1.0), (0, 3, 1.0), (1, 2, 1.0), (1, 3, 1.0),</span>
<span class="sd">    ... (2, 3, 1.0), (3, 4, 0.1), (4, 5, 1.0), (4, 15, 1.0), (5, 6, 1.0),</span>
<span class="sd">    ... (6, 7, 1.0), (7, 8, 1.0), (8, 9, 1.0), (9, 10, 1.0), (10, 11, 1.0),</span>
<span class="sd">    ... (11, 12, 1.0), (12, 13, 1.0), (13, 14, 1.0), (14, 15, 1.0)]</span>
<span class="sd">    &gt;&gt;&gt; rdd = sc.parallelize(data, 2)</span>
<span class="sd">    &gt;&gt;&gt; model = PowerIterationClustering.train(rdd, 2, 100)</span>
<span class="sd">    &gt;&gt;&gt; model.k</span>
<span class="sd">    2</span>
<span class="sd">    &gt;&gt;&gt; result = sorted(model.assignments().collect(), key=lambda x: x.id)</span>
<span class="sd">    &gt;&gt;&gt; result[0].cluster == result[1].cluster == result[2].cluster == result[3].cluster</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; result[4].cluster == result[5].cluster == result[6].cluster == result[7].cluster</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; import os, tempfile</span>
<span class="sd">    &gt;&gt;&gt; path = tempfile.mkdtemp()</span>
<span class="sd">    &gt;&gt;&gt; model.save(sc, path)</span>
<span class="sd">    &gt;&gt;&gt; sameModel = PowerIterationClusteringModel.load(sc, path)</span>
<span class="sd">    &gt;&gt;&gt; sameModel.k</span>
<span class="sd">    2</span>
<span class="sd">    &gt;&gt;&gt; result = sorted(model.assignments().collect(), key=lambda x: x.id)</span>
<span class="sd">    &gt;&gt;&gt; result[0].cluster == result[1].cluster == result[2].cluster == result[3].cluster</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; result[4].cluster == result[5].cluster == result[6].cluster == result[7].cluster</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; from shutil import rmtree</span>
<span class="sd">    &gt;&gt;&gt; try:</span>
<span class="sd">    ...     rmtree(path)</span>
<span class="sd">    ... except OSError:</span>
<span class="sd">    ...     pass</span>
<span class="sd">    &quot;&quot;&quot;</span>

    <span class="nd">@property</span>
    <span class="k">def</span> <span class="nf">k</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Returns the number of clusters.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">call</span><span class="p">(</span><span class="s">&quot;k&quot;</span><span class="p">)</span>

<div class="viewcode-block" id="PowerIterationClusteringModel.assignments"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.PowerIterationClusteringModel.assignments">[docs]</a>    <span class="k">def</span> <span class="nf">assignments</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Returns the cluster assignments of this model.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">call</span><span class="p">(</span><span class="s">&quot;getAssignments&quot;</span><span class="p">)</span><span class="o">.</span><span class="n">map</span><span class="p">(</span>
            <span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="p">(</span><span class="n">PowerIterationClustering</span><span class="o">.</span><span class="n">Assignment</span><span class="p">(</span><span class="o">*</span><span class="n">x</span><span class="p">)))</span>
</div>
    <span class="nd">@classmethod</span>
<div class="viewcode-block" id="PowerIterationClusteringModel.load"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.PowerIterationClusteringModel.load">[docs]</a>    <span class="k">def</span> <span class="nf">load</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">):</span>
        <span class="n">model</span> <span class="o">=</span> <span class="n">cls</span><span class="o">.</span><span class="n">_load_java</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">)</span>
        <span class="n">wrapper</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">_jvm</span><span class="o">.</span><span class="n">PowerIterationClusteringModelWrapper</span><span class="p">(</span><span class="n">model</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">PowerIterationClusteringModel</span><span class="p">(</span><span class="n">wrapper</span><span class="p">)</span>

</div></div>
<div class="viewcode-block" id="PowerIterationClustering"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.PowerIterationClustering">[docs]</a><span class="k">class</span> <span class="nc">PowerIterationClustering</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    .. note:: Experimental</span>

<span class="sd">    Power Iteration Clustering (PIC), a scalable graph clustering algorithm</span>
<span class="sd">    developed by [[http://www.icml2010.org/papers/387.pdf Lin and Cohen]].</span>
<span class="sd">    From the abstract: PIC finds a very low-dimensional embedding of a</span>
<span class="sd">    dataset using truncated power iteration on a normalized pair-wise</span>
<span class="sd">    similarity matrix of the data.</span>
<span class="sd">    &quot;&quot;&quot;</span>

    <span class="nd">@classmethod</span>
<div class="viewcode-block" id="PowerIterationClustering.train"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.PowerIterationClustering.train">[docs]</a>    <span class="k">def</span> <span class="nf">train</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">rdd</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">maxIterations</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">initMode</span><span class="o">=</span><span class="s">&quot;random&quot;</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        :param rdd: an RDD of (i, j, s,,ij,,) tuples representing the</span>
<span class="sd">            affinity matrix, which is the matrix A in the PIC paper.</span>
<span class="sd">            The similarity s,,ij,, must be nonnegative.</span>
<span class="sd">            This is a symmetric matrix and hence s,,ij,, = s,,ji,,.</span>
<span class="sd">            For any (i, j) with nonzero similarity, there should be</span>
<span class="sd">            either (i, j, s,,ij,,) or (j, i, s,,ji,,) in the input.</span>
<span class="sd">            Tuples with i = j are ignored, because we assume</span>
<span class="sd">            s,,ij,, = 0.0.</span>
<span class="sd">        :param k: Number of clusters.</span>
<span class="sd">        :param maxIterations: Maximum number of iterations of the</span>
<span class="sd">            PIC algorithm.</span>
<span class="sd">        :param initMode: Initialization mode.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="n">model</span> <span class="o">=</span> <span class="n">callMLlibFunc</span><span class="p">(</span><span class="s">&quot;trainPowerIterationClusteringModel&quot;</span><span class="p">,</span>
                              <span class="n">rdd</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">_convert_to_vector</span><span class="p">),</span> <span class="nb">int</span><span class="p">(</span><span class="n">k</span><span class="p">),</span> <span class="nb">int</span><span class="p">(</span><span class="n">maxIterations</span><span class="p">),</span> <span class="n">initMode</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">PowerIterationClusteringModel</span><span class="p">(</span><span class="n">model</span><span class="p">)</span>
</div>
<div class="viewcode-block" id="PowerIterationClustering.Assignment"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.PowerIterationClustering.Assignment">[docs]</a>    <span class="k">class</span> <span class="nc">Assignment</span><span class="p">(</span><span class="n">namedtuple</span><span class="p">(</span><span class="s">&quot;Assignment&quot;</span><span class="p">,</span> <span class="p">[</span><span class="s">&quot;id&quot;</span><span class="p">,</span> <span class="s">&quot;cluster&quot;</span><span class="p">])):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Represents an (id, cluster) tuple.</span>
<span class="sd">        &quot;&quot;&quot;</span>

</div></div>
<div class="viewcode-block" id="StreamingKMeansModel"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeansModel">[docs]</a><span class="k">class</span> <span class="nc">StreamingKMeansModel</span><span class="p">(</span><span class="n">KMeansModel</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    .. note:: Experimental</span>

<span class="sd">    Clustering model which can perform an online update of the centroids.</span>

<span class="sd">    The update formula for each centroid is given by</span>

<span class="sd">    * c_t+1 = ((c_t * n_t * a) + (x_t * m_t)) / (n_t + m_t)</span>
<span class="sd">    * n_t+1 = n_t * a + m_t</span>

<span class="sd">    where</span>

<span class="sd">    * c_t: Centroid at the n_th iteration.</span>
<span class="sd">    * n_t: Number of samples (or) weights associated with the centroid</span>
<span class="sd">           at the n_th iteration.</span>
<span class="sd">    * x_t: Centroid of the new data closest to c_t.</span>
<span class="sd">    * m_t: Number of samples (or) weights of the new data closest to c_t</span>
<span class="sd">    * c_t+1: New centroid.</span>
<span class="sd">    * n_t+1: New number of weights.</span>
<span class="sd">    * a: Decay Factor, which gives the forgetfulness.</span>

<span class="sd">    Note that if a is set to 1, it is the weighted mean of the previous</span>
<span class="sd">    and new data. If it set to zero, the old centroids are completely</span>
<span class="sd">    forgotten.</span>

<span class="sd">    :param clusterCenters: Initial cluster centers.</span>
<span class="sd">    :param clusterWeights: List of weights assigned to each cluster.</span>

<span class="sd">    &gt;&gt;&gt; initCenters = [[0.0, 0.0], [1.0, 1.0]]</span>
<span class="sd">    &gt;&gt;&gt; initWeights = [1.0, 1.0]</span>
<span class="sd">    &gt;&gt;&gt; stkm = StreamingKMeansModel(initCenters, initWeights)</span>
<span class="sd">    &gt;&gt;&gt; data = sc.parallelize([[-0.1, -0.1], [0.1, 0.1],</span>
<span class="sd">    ...                        [0.9, 0.9], [1.1, 1.1]])</span>
<span class="sd">    &gt;&gt;&gt; stkm = stkm.update(data, 1.0, u&quot;batches&quot;)</span>
<span class="sd">    &gt;&gt;&gt; stkm.centers</span>
<span class="sd">    array([[ 0.,  0.],</span>
<span class="sd">           [ 1.,  1.]])</span>
<span class="sd">    &gt;&gt;&gt; stkm.predict([-0.1, -0.1])</span>
<span class="sd">    0</span>
<span class="sd">    &gt;&gt;&gt; stkm.predict([0.9, 0.9])</span>
<span class="sd">    1</span>
<span class="sd">    &gt;&gt;&gt; stkm.clusterWeights</span>
<span class="sd">    [3.0, 3.0]</span>
<span class="sd">    &gt;&gt;&gt; decayFactor = 0.0</span>
<span class="sd">    &gt;&gt;&gt; data = sc.parallelize([DenseVector([1.5, 1.5]), DenseVector([0.2, 0.2])])</span>
<span class="sd">    &gt;&gt;&gt; stkm = stkm.update(data, 0.0, u&quot;batches&quot;)</span>
<span class="sd">    &gt;&gt;&gt; stkm.centers</span>
<span class="sd">    array([[ 0.2,  0.2],</span>
<span class="sd">           [ 1.5,  1.5]])</span>
<span class="sd">    &gt;&gt;&gt; stkm.clusterWeights</span>
<span class="sd">    [1.0, 1.0]</span>
<span class="sd">    &gt;&gt;&gt; stkm.predict([0.2, 0.2])</span>
<span class="sd">    0</span>
<span class="sd">    &gt;&gt;&gt; stkm.predict([1.5, 1.5])</span>
<span class="sd">    1</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">clusterCenters</span><span class="p">,</span> <span class="n">clusterWeights</span><span class="p">):</span>
        <span class="nb">super</span><span class="p">(</span><span class="n">StreamingKMeansModel</span><span class="p">,</span> <span class="bp">self</span><span class="p">)</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="n">centers</span><span class="o">=</span><span class="n">clusterCenters</span><span class="p">)</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_clusterWeights</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">clusterWeights</span><span class="p">)</span>

    <span class="nd">@property</span>
    <span class="k">def</span> <span class="nf">clusterWeights</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Return the cluster weights.&quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_clusterWeights</span>

    <span class="nd">@ignore_unicode_prefix</span>
<div class="viewcode-block" id="StreamingKMeansModel.update"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeansModel.update">[docs]</a>    <span class="k">def</span> <span class="nf">update</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">decayFactor</span><span class="p">,</span> <span class="n">timeUnit</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Update the centroids, according to data</span>

<span class="sd">        :param data: Should be a RDD that represents the new data.</span>
<span class="sd">        :param decayFactor: forgetfulness of the previous centroids.</span>
<span class="sd">        :param timeUnit: Can be &quot;batches&quot; or &quot;points&quot;. If points, then the</span>
<span class="sd">                         decay factor is raised to the power of number of new</span>
<span class="sd">                         points and if batches, it is used as it is.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="n">RDD</span><span class="p">):</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;Data should be of an RDD, got </span><span class="si">%s</span><span class="s">.&quot;</span> <span class="o">%</span> <span class="nb">type</span><span class="p">(</span><span class="n">data</span><span class="p">))</span>
        <span class="n">data</span> <span class="o">=</span> <span class="n">data</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">_convert_to_vector</span><span class="p">)</span>
        <span class="n">decayFactor</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">decayFactor</span><span class="p">)</span>
        <span class="k">if</span> <span class="n">timeUnit</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&quot;batches&quot;</span><span class="p">,</span> <span class="s">&quot;points&quot;</span><span class="p">]:</span>
            <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
                <span class="s">&quot;timeUnit should be &#39;batches&#39; or &#39;points&#39;, got </span><span class="si">%s</span><span class="s">.&quot;</span> <span class="o">%</span> <span class="n">timeUnit</span><span class="p">)</span>
        <span class="n">vectorCenters</span> <span class="o">=</span> <span class="p">[</span><span class="n">_convert_to_vector</span><span class="p">(</span><span class="n">center</span><span class="p">)</span> <span class="k">for</span> <span class="n">center</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">centers</span><span class="p">]</span>
        <span class="n">updatedModel</span> <span class="o">=</span> <span class="n">callMLlibFunc</span><span class="p">(</span>
            <span class="s">&quot;updateStreamingKMeansModel&quot;</span><span class="p">,</span> <span class="n">vectorCenters</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">_clusterWeights</span><span class="p">,</span>
            <span class="n">data</span><span class="p">,</span> <span class="n">decayFactor</span><span class="p">,</span> <span class="n">timeUnit</span><span class="p">)</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">centers</span> <span class="o">=</span> <span class="n">array</span><span class="p">(</span><span class="n">updatedModel</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_clusterWeights</span> <span class="o">=</span> <span class="nb">list</span><span class="p">(</span><span class="n">updatedModel</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
        <span class="k">return</span> <span class="bp">self</span>

</div></div>
<div class="viewcode-block" id="StreamingKMeans"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans">[docs]</a><span class="k">class</span> <span class="nc">StreamingKMeans</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>
    <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">    .. note:: Experimental</span>

<span class="sd">    Provides methods to set k, decayFactor, timeUnit to configure the</span>
<span class="sd">    KMeans algorithm for fitting and predicting on incoming dstreams.</span>
<span class="sd">    More details on how the centroids are updated are provided under the</span>
<span class="sd">    docs of StreamingKMeansModel.</span>

<span class="sd">    :param k: int, number of clusters</span>
<span class="sd">    :param decayFactor: float, forgetfulness of the previous centroids.</span>
<span class="sd">    :param timeUnit: can be &quot;batches&quot; or &quot;points&quot;. If points, then the</span>
<span class="sd">                     decayfactor is raised to the power of no. of new points.</span>
<span class="sd">    &quot;&quot;&quot;</span>
    <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">k</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">decayFactor</span><span class="o">=</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">timeUnit</span><span class="o">=</span><span class="s">&quot;batches&quot;</span><span class="p">):</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_k</span> <span class="o">=</span> <span class="n">k</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_decayFactor</span> <span class="o">=</span> <span class="n">decayFactor</span>
        <span class="k">if</span> <span class="n">timeUnit</span> <span class="ow">not</span> <span class="ow">in</span> <span class="p">[</span><span class="s">&quot;batches&quot;</span><span class="p">,</span> <span class="s">&quot;points&quot;</span><span class="p">]:</span>
            <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
                <span class="s">&quot;timeUnit should be &#39;batches&#39; or &#39;points&#39;, got </span><span class="si">%s</span><span class="s">.&quot;</span> <span class="o">%</span> <span class="n">timeUnit</span><span class="p">)</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_timeUnit</span> <span class="o">=</span> <span class="n">timeUnit</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_model</span> <span class="o">=</span> <span class="bp">None</span>

<div class="viewcode-block" id="StreamingKMeans.latestModel"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.latestModel">[docs]</a>    <span class="k">def</span> <span class="nf">latestModel</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Return the latest model&quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_model</span>
</div>
    <span class="k">def</span> <span class="nf">_validate</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">dstream</span><span class="p">):</span>
        <span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">_model</span> <span class="ow">is</span> <span class="bp">None</span><span class="p">:</span>
            <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">(</span>
                <span class="s">&quot;Initial centers should be set either by setInitialCenters &quot;</span>
                <span class="s">&quot;or setRandomCenters.&quot;</span><span class="p">)</span>
        <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">dstream</span><span class="p">,</span> <span class="n">DStream</span><span class="p">):</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span>
                <span class="s">&quot;Expected dstream to be of type DStream, &quot;</span>
                <span class="s">&quot;got type </span><span class="si">%s</span><span class="s">&quot;</span> <span class="o">%</span> <span class="nb">type</span><span class="p">(</span><span class="n">dstream</span><span class="p">))</span>

<div class="viewcode-block" id="StreamingKMeans.setK"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.setK">[docs]</a>    <span class="k">def</span> <span class="nf">setK</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">k</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Set number of clusters.&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_k</span> <span class="o">=</span> <span class="n">k</span>
        <span class="k">return</span> <span class="bp">self</span>
</div>
<div class="viewcode-block" id="StreamingKMeans.setDecayFactor"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.setDecayFactor">[docs]</a>    <span class="k">def</span> <span class="nf">setDecayFactor</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">decayFactor</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Set decay factor.&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_decayFactor</span> <span class="o">=</span> <span class="n">decayFactor</span>
        <span class="k">return</span> <span class="bp">self</span>
</div>
<div class="viewcode-block" id="StreamingKMeans.setHalfLife"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.setHalfLife">[docs]</a>    <span class="k">def</span> <span class="nf">setHalfLife</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">halfLife</span><span class="p">,</span> <span class="n">timeUnit</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Set number of batches after which the centroids of that</span>
<span class="sd">        particular batch has half the weightage.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_timeUnit</span> <span class="o">=</span> <span class="n">timeUnit</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_decayFactor</span> <span class="o">=</span> <span class="n">exp</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="mf">0.5</span><span class="p">)</span> <span class="o">/</span> <span class="n">halfLife</span><span class="p">)</span>
        <span class="k">return</span> <span class="bp">self</span>
</div>
<div class="viewcode-block" id="StreamingKMeans.setInitialCenters"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.setInitialCenters">[docs]</a>    <span class="k">def</span> <span class="nf">setInitialCenters</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">centers</span><span class="p">,</span> <span class="n">weights</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Set initial centers. Should be set before calling trainOn.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_model</span> <span class="o">=</span> <span class="n">StreamingKMeansModel</span><span class="p">(</span><span class="n">centers</span><span class="p">,</span> <span class="n">weights</span><span class="p">)</span>
        <span class="k">return</span> <span class="bp">self</span>
</div>
<div class="viewcode-block" id="StreamingKMeans.setRandomCenters"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.setRandomCenters">[docs]</a>    <span class="k">def</span> <span class="nf">setRandomCenters</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">dim</span><span class="p">,</span> <span class="n">weight</span><span class="p">,</span> <span class="n">seed</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Set the initial centres to be random samples from</span>
<span class="sd">        a gaussian population with constant weights.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="n">rng</span> <span class="o">=</span> <span class="n">random</span><span class="o">.</span><span class="n">RandomState</span><span class="p">(</span><span class="n">seed</span><span class="p">)</span>
        <span class="n">clusterCenters</span> <span class="o">=</span> <span class="n">rng</span><span class="o">.</span><span class="n">randn</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_k</span><span class="p">,</span> <span class="n">dim</span><span class="p">)</span>
        <span class="n">clusterWeights</span> <span class="o">=</span> <span class="n">tile</span><span class="p">(</span><span class="n">weight</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">_k</span><span class="p">)</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_model</span> <span class="o">=</span> <span class="n">StreamingKMeansModel</span><span class="p">(</span><span class="n">clusterCenters</span><span class="p">,</span> <span class="n">clusterWeights</span><span class="p">)</span>
        <span class="k">return</span> <span class="bp">self</span>
</div>
<div class="viewcode-block" id="StreamingKMeans.trainOn"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.trainOn">[docs]</a>    <span class="k">def</span> <span class="nf">trainOn</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">dstream</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Train the model on the incoming dstream.&quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_validate</span><span class="p">(</span><span class="n">dstream</span><span class="p">)</span>

        <span class="k">def</span> <span class="nf">update</span><span class="p">(</span><span class="n">rdd</span><span class="p">):</span>
            <span class="bp">self</span><span class="o">.</span><span class="n">_model</span><span class="o">.</span><span class="n">update</span><span class="p">(</span><span class="n">rdd</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">_decayFactor</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">_timeUnit</span><span class="p">)</span>

        <span class="n">dstream</span><span class="o">.</span><span class="n">foreachRDD</span><span class="p">(</span><span class="n">update</span><span class="p">)</span>
</div>
<div class="viewcode-block" id="StreamingKMeans.predictOn"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.predictOn">[docs]</a>    <span class="k">def</span> <span class="nf">predictOn</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">dstream</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Make predictions on a dstream.</span>
<span class="sd">        Returns a transformed dstream object</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_validate</span><span class="p">(</span><span class="n">dstream</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">dstream</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="bp">self</span><span class="o">.</span><span class="n">_model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>
</div>
<div class="viewcode-block" id="StreamingKMeans.predictOnValues"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.StreamingKMeans.predictOnValues">[docs]</a>    <span class="k">def</span> <span class="nf">predictOnValues</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">dstream</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;</span>
<span class="sd">        Make predictions on a keyed dstream.</span>
<span class="sd">        Returns a transformed dstream object.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_validate</span><span class="p">(</span><span class="n">dstream</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">dstream</span><span class="o">.</span><span class="n">mapValues</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="bp">self</span><span class="o">.</span><span class="n">_model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>

</div></div>
<div class="viewcode-block" id="LDAModel"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.LDAModel">[docs]</a><span class="k">class</span> <span class="nc">LDAModel</span><span class="p">(</span><span class="n">JavaModelWrapper</span><span class="p">):</span>

    <span class="sd">&quot;&quot;&quot; A clustering model derived from the LDA method.</span>

<span class="sd">    Latent Dirichlet Allocation (LDA), a topic model designed for text documents.</span>
<span class="sd">    Terminology</span>
<span class="sd">    - &quot;word&quot; = &quot;term&quot;: an element of the vocabulary</span>
<span class="sd">    - &quot;token&quot;: instance of a term appearing in a document</span>
<span class="sd">    - &quot;topic&quot;: multinomial distribution over words representing some concept</span>
<span class="sd">    References:</span>
<span class="sd">    - Original LDA paper (journal version):</span>
<span class="sd">    Blei, Ng, and Jordan.  &quot;Latent Dirichlet Allocation.&quot;  JMLR, 2003.</span>

<span class="sd">    &gt;&gt;&gt; from pyspark.mllib.linalg import Vectors</span>
<span class="sd">    &gt;&gt;&gt; from numpy.testing import assert_almost_equal, assert_equal</span>
<span class="sd">    &gt;&gt;&gt; data = [</span>
<span class="sd">    ...     [1, Vectors.dense([0.0, 1.0])],</span>
<span class="sd">    ...     [2, SparseVector(2, {0: 1.0})],</span>
<span class="sd">    ... ]</span>
<span class="sd">    &gt;&gt;&gt; rdd =  sc.parallelize(data)</span>
<span class="sd">    &gt;&gt;&gt; model = LDA.train(rdd, k=2)</span>
<span class="sd">    &gt;&gt;&gt; model.vocabSize()</span>
<span class="sd">    2</span>
<span class="sd">    &gt;&gt;&gt; topics = model.topicsMatrix()</span>
<span class="sd">    &gt;&gt;&gt; topics_expect = array([[0.5,  0.5], [0.5, 0.5]])</span>
<span class="sd">    &gt;&gt;&gt; assert_almost_equal(topics, topics_expect, 1)</span>

<span class="sd">    &gt;&gt;&gt; import os, tempfile</span>
<span class="sd">    &gt;&gt;&gt; from shutil import rmtree</span>
<span class="sd">    &gt;&gt;&gt; path = tempfile.mkdtemp()</span>
<span class="sd">    &gt;&gt;&gt; model.save(sc, path)</span>
<span class="sd">    &gt;&gt;&gt; sameModel = LDAModel.load(sc, path)</span>
<span class="sd">    &gt;&gt;&gt; assert_equal(sameModel.topicsMatrix(), model.topicsMatrix())</span>
<span class="sd">    &gt;&gt;&gt; sameModel.vocabSize() == model.vocabSize()</span>
<span class="sd">    True</span>
<span class="sd">    &gt;&gt;&gt; try:</span>
<span class="sd">    ...     rmtree(path)</span>
<span class="sd">    ... except OSError:</span>
<span class="sd">    ...     pass</span>
<span class="sd">    &quot;&quot;&quot;</span>

<div class="viewcode-block" id="LDAModel.topicsMatrix"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.LDAModel.topicsMatrix">[docs]</a>    <span class="k">def</span> <span class="nf">topicsMatrix</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Inferred topics, where each topic is represented by a distribution over terms.&quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">call</span><span class="p">(</span><span class="s">&quot;topicsMatrix&quot;</span><span class="p">)</span><span class="o">.</span><span class="n">toArray</span><span class="p">()</span>
</div>
<div class="viewcode-block" id="LDAModel.vocabSize"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.LDAModel.vocabSize">[docs]</a>    <span class="k">def</span> <span class="nf">vocabSize</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Vocabulary size (number of terms or terms in the vocabulary)&quot;&quot;&quot;</span>
        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">call</span><span class="p">(</span><span class="s">&quot;vocabSize&quot;</span><span class="p">)</span>
</div>
<div class="viewcode-block" id="LDAModel.save"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.LDAModel.save">[docs]</a>    <span class="k">def</span> <span class="nf">save</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Save the LDAModel on to disk.</span>

<span class="sd">        :param sc: SparkContext</span>
<span class="sd">        :param path: str, path to where the model needs to be stored.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">SparkContext</span><span class="p">):</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;sc should be a SparkContext, got type </span><span class="si">%s</span><span class="s">&quot;</span> <span class="o">%</span> <span class="nb">type</span><span class="p">(</span><span class="n">sc</span><span class="p">))</span>
        <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">path</span><span class="p">,</span> <span class="nb">basestring</span><span class="p">):</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;path should be a basestring, got type </span><span class="si">%s</span><span class="s">&quot;</span> <span class="o">%</span> <span class="nb">type</span><span class="p">(</span><span class="n">path</span><span class="p">))</span>
        <span class="bp">self</span><span class="o">.</span><span class="n">_java_model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="o">.</span><span class="n">_jsc</span><span class="o">.</span><span class="n">sc</span><span class="p">(),</span> <span class="n">path</span><span class="p">)</span>
</div>
    <span class="nd">@classmethod</span>
<div class="viewcode-block" id="LDAModel.load"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.LDAModel.load">[docs]</a>    <span class="k">def</span> <span class="nf">load</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">sc</span><span class="p">,</span> <span class="n">path</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Load the LDAModel from disk.</span>

<span class="sd">        :param sc: SparkContext</span>
<span class="sd">        :param path: str, path to where the model is stored.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">SparkContext</span><span class="p">):</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;sc should be a SparkContext, got type </span><span class="si">%s</span><span class="s">&quot;</span> <span class="o">%</span> <span class="nb">type</span><span class="p">(</span><span class="n">sc</span><span class="p">))</span>
        <span class="k">if</span> <span class="ow">not</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">path</span><span class="p">,</span> <span class="nb">basestring</span><span class="p">):</span>
            <span class="k">raise</span> <span class="ne">TypeError</span><span class="p">(</span><span class="s">&quot;path should be a basestring, got type </span><span class="si">%s</span><span class="s">&quot;</span> <span class="o">%</span> <span class="nb">type</span><span class="p">(</span><span class="n">path</span><span class="p">))</span>
        <span class="n">java_model</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">_jvm</span><span class="o">.</span><span class="n">org</span><span class="o">.</span><span class="n">apache</span><span class="o">.</span><span class="n">spark</span><span class="o">.</span><span class="n">mllib</span><span class="o">.</span><span class="n">clustering</span><span class="o">.</span><span class="n">DistributedLDAModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span>
            <span class="n">sc</span><span class="o">.</span><span class="n">_jsc</span><span class="o">.</span><span class="n">sc</span><span class="p">(),</span> <span class="n">path</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">cls</span><span class="p">(</span><span class="n">java_model</span><span class="p">)</span>

</div></div>
<div class="viewcode-block" id="LDA"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.LDA">[docs]</a><span class="k">class</span> <span class="nc">LDA</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span>

    <span class="nd">@classmethod</span>
<div class="viewcode-block" id="LDA.train"><a class="viewcode-back" href="../../../pyspark.mllib.html#pyspark.mllib.clustering.LDA.train">[docs]</a>    <span class="k">def</span> <span class="nf">train</span><span class="p">(</span><span class="n">cls</span><span class="p">,</span> <span class="n">rdd</span><span class="p">,</span> <span class="n">k</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">maxIterations</span><span class="o">=</span><span class="mi">20</span><span class="p">,</span> <span class="n">docConcentration</span><span class="o">=-</span><span class="mf">1.0</span><span class="p">,</span>
              <span class="n">topicConcentration</span><span class="o">=-</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">seed</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">checkpointInterval</span><span class="o">=</span><span class="mi">10</span><span class="p">,</span> <span class="n">optimizer</span><span class="o">=</span><span class="s">&quot;em&quot;</span><span class="p">):</span>
        <span class="sd">&quot;&quot;&quot;Train a LDA model.</span>

<span class="sd">        :param rdd:                 RDD of data points</span>
<span class="sd">        :param k:                   Number of clusters you want</span>
<span class="sd">        :param maxIterations:       Number of iterations. Default to 20</span>
<span class="sd">        :param docConcentration:    Concentration parameter (commonly named &quot;alpha&quot;)</span>
<span class="sd">            for the prior placed on documents&#39; distributions over topics (&quot;theta&quot;).</span>
<span class="sd">        :param topicConcentration:  Concentration parameter (commonly named &quot;beta&quot; or &quot;eta&quot;)</span>
<span class="sd">            for the prior placed on topics&#39; distributions over terms.</span>
<span class="sd">        :param seed:                Random Seed</span>
<span class="sd">        :param checkpointInterval:  Period (in iterations) between checkpoints.</span>
<span class="sd">        :param optimizer:           LDAOptimizer used to perform the actual calculation.</span>
<span class="sd">            Currently &quot;em&quot;, &quot;online&quot; are supported. Default to &quot;em&quot;.</span>
<span class="sd">        &quot;&quot;&quot;</span>
        <span class="n">model</span> <span class="o">=</span> <span class="n">callMLlibFunc</span><span class="p">(</span><span class="s">&quot;trainLDAModel&quot;</span><span class="p">,</span> <span class="n">rdd</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">maxIterations</span><span class="p">,</span>
                              <span class="n">docConcentration</span><span class="p">,</span> <span class="n">topicConcentration</span><span class="p">,</span> <span class="n">seed</span><span class="p">,</span>
                              <span class="n">checkpointInterval</span><span class="p">,</span> <span class="n">optimizer</span><span class="p">)</span>
        <span class="k">return</span> <span class="n">LDAModel</span><span class="p">(</span><span class="n">model</span><span class="p">)</span>

</div></div>
<span class="k">def</span> <span class="nf">_test</span><span class="p">():</span>
    <span class="kn">import</span> <span class="nn">doctest</span>
    <span class="kn">import</span> <span class="nn">pyspark.mllib.clustering</span>
    <span class="n">globs</span> <span class="o">=</span> <span class="n">pyspark</span><span class="o">.</span><span class="n">mllib</span><span class="o">.</span><span class="n">clustering</span><span class="o">.</span><span class="n">__dict__</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
    <span class="n">globs</span><span class="p">[</span><span class="s">&#39;sc&#39;</span><span class="p">]</span> <span class="o">=</span> <span class="n">SparkContext</span><span class="p">(</span><span class="s">&#39;local[4]&#39;</span><span class="p">,</span> <span class="s">&#39;PythonTest&#39;</span><span class="p">,</span> <span class="n">batchSize</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
    <span class="p">(</span><span class="n">failure_count</span><span class="p">,</span> <span class="n">test_count</span><span class="p">)</span> <span class="o">=</span> <span class="n">doctest</span><span class="o">.</span><span class="n">testmod</span><span class="p">(</span><span class="n">globs</span><span class="o">=</span><span class="n">globs</span><span class="p">,</span> <span class="n">optionflags</span><span class="o">=</span><span class="n">doctest</span><span class="o">.</span><span class="n">ELLIPSIS</span><span class="p">)</span>
    <span class="n">globs</span><span class="p">[</span><span class="s">&#39;sc&#39;</span><span class="p">]</span><span class="o">.</span><span class="n">stop</span><span class="p">()</span>
    <span class="k">if</span> <span class="n">failure_count</span><span class="p">:</span>
        <span class="nb">exit</span><span class="p">(</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span>


<span class="k">if</span> <span class="n">__name__</span> <span class="o">==</span> <span class="s">&quot;__main__&quot;</span><span class="p">:</span>
    <span class="n">_test</span><span class="p">()</span>
</pre></div>

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