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        <a href="pyspark-module.html">Package&nbsp;pyspark</a> ::
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        Module&nbsp;regression
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<h1 class="epydoc">Source Code for <a href="pyspark.mllib.regression-module.html">Module pyspark.mllib.regression</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"># Licensed to the Apache Software Foundation (ASF) under one or more</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-comment"># contributor license agreements.  See the NOTICE file distributed with</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-comment"># this work for additional information regarding copyright ownership.</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-comment"># The ASF licenses this file to You under the Apache License, Version 2.0</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-comment"># (the "License"); you may not use this file except in compliance with</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-comment"># the License.  You may obtain a copy of the License at</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-comment">#    http://www.apache.org/licenses/LICENSE-2.0</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-comment"># Unless required by applicable law or agreed to in writing, software</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-comment"># distributed under the License is distributed on an "AS IS" BASIS,</tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-comment"># WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-comment"># See the License for the specific language governing permissions and</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-comment"># limitations under the License.</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt class="py-name">array</tt><tt class="py-op">,</tt> <tt class="py-name">dot</tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-0" class="py-name" targets="Package pyspark=pyspark-module.html"><a title="pyspark" class="py-name" href="#" onclick="return doclink('link-0', 'pyspark', 'link-0');">pyspark</a></tt> <tt class="py-keyword">import</tt> <tt id="link-1" class="py-name" targets="Class pyspark.context.SparkContext=pyspark.context.SparkContext-class.html"><a title="pyspark.context.SparkContext" class="py-name" href="#" onclick="return doclink('link-1', 'SparkContext', 'link-1');">SparkContext</a></tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt id="link-2" class="py-name"><a title="pyspark" class="py-name" href="#" onclick="return doclink('link-2', 'pyspark', 'link-0');">pyspark</a></tt><tt class="py-op">.</tt><tt id="link-3" class="py-name" targets="Package pyspark.mllib=pyspark.mllib-module.html"><a title="pyspark.mllib" class="py-name" href="#" onclick="return doclink('link-3', 'mllib', 'link-3');">mllib</a></tt><tt class="py-op">.</tt><tt class="py-name">_common</tt> <tt class="py-keyword">import</tt> \ </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line">    <tt class="py-name">_get_unmangled_rdd</tt><tt class="py-op">,</tt> <tt class="py-name">_get_unmangled_double_vector_rdd</tt><tt class="py-op">,</tt> \ </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line">    <tt class="py-name">_serialize_double_matrix</tt><tt class="py-op">,</tt> <tt class="py-name">_deserialize_double_matrix</tt><tt class="py-op">,</tt> \ </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line">    <tt class="py-name">_serialize_double_vector</tt><tt class="py-op">,</tt> <tt class="py-name">_deserialize_double_vector</tt><tt class="py-op">,</tt> \ </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line">    <tt class="py-name">_get_initial_weights</tt><tt class="py-op">,</tt> <tt class="py-name">_serialize_rating</tt><tt class="py-op">,</tt> <tt class="py-name">_regression_train_wrapper</tt><tt class="py-op">,</tt> \ </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line">    <tt class="py-name">_linear_predictor_typecheck</tt> </tt>
<a name="LinearModel"></a><div id="LinearModel-def"><a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt> <a class="py-toggle" href="#" id="LinearModel-toggle" onclick="return toggle('LinearModel');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyspark.mllib.regression.LinearModel-class.html">LinearModel</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearModel-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="LinearModel-expanded"><a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line">    <tt class="py-docstring">"""Something that has a vector of coefficients and an intercept."""</tt> </tt>
<a name="LinearModel.__init__"></a><div id="LinearModel.__init__-def"><a name="L29"></a><tt class="py-lineno"> 29</tt> <a class="py-toggle" href="#" id="LinearModel.__init__-toggle" onclick="return toggle('LinearModel.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyspark.mllib.regression.LinearModel-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">coeff</tt><tt class="py-op">,</tt> <tt class="py-param">intercept</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearModel.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="LinearModel.__init__-expanded"><a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_coeff</tt> <tt class="py-op">=</tt> <tt class="py-name">coeff</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_intercept</tt> <tt class="py-op">=</tt> <tt class="py-name">intercept</tt> </tt>
</div></div><a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"> </tt>
<a name="LinearRegressionModelBase"></a><div id="LinearRegressionModelBase-def"><a name="L33"></a><tt class="py-lineno"> 33</tt> <a class="py-toggle" href="#" id="LinearRegressionModelBase-toggle" onclick="return toggle('LinearRegressionModelBase');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyspark.mllib.regression.LinearRegressionModelBase-class.html">LinearRegressionModelBase</a><tt class="py-op">(</tt><tt class="py-base-class">LinearModel</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearRegressionModelBase-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="LinearRegressionModelBase-expanded"><a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line">    <tt class="py-docstring">"""A linear regression model.</tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; lrmb = LinearRegressionModelBase(array([1.0, 2.0]), 0.1)</tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; abs(lrmb.predict(array([-1.03, 7.777])) - 14.624) &lt; 1e-6</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line"><tt class="py-docstring">    True</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="LinearRegressionModelBase.predict"></a><div id="LinearRegressionModelBase.predict-def"><a name="L40"></a><tt class="py-lineno"> 40</tt> <a class="py-toggle" href="#" id="LinearRegressionModelBase.predict-toggle" onclick="return toggle('LinearRegressionModelBase.predict');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyspark.mllib.regression.LinearRegressionModelBase-class.html#predict">predict</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearRegressionModelBase.predict-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="LinearRegressionModelBase.predict-expanded"><a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line">        <tt class="py-docstring">"""Predict the value of the dependent variable given a vector x"""</tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line">        <tt class="py-string">"""containing values for the independent variables."""</tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line">        <tt class="py-name">_linear_predictor_typecheck</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_coeff</tt><tt class="py-op">)</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">dot</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_coeff</tt><tt class="py-op">,</tt> <tt class="py-name">x</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">_intercept</tt> </tt>
</div></div><a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"> </tt>
<a name="LinearRegressionModel"></a><div id="LinearRegressionModel-def"><a name="L46"></a><tt class="py-lineno"> 46</tt> <a class="py-toggle" href="#" id="LinearRegressionModel-toggle" onclick="return toggle('LinearRegressionModel');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyspark.mllib.regression.LinearRegressionModel-class.html">LinearRegressionModel</a><tt class="py-op">(</tt><tt class="py-base-class">LinearRegressionModelBase</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearRegressionModel-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="LinearRegressionModel-expanded"><a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line">    <tt class="py-docstring">"""A linear regression model derived from a least-squares fit.</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; data = array([0.0, 0.0, 1.0, 1.0, 3.0, 2.0, 2.0, 3.0]).reshape(4,2)</tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; lrm = LinearRegressionWithSGD.train(sc.parallelize(data), initialWeights=array([1.0]))</tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
</div><a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"> </tt>
<a name="LinearRegressionWithSGD"></a><div id="LinearRegressionWithSGD-def"><a name="L53"></a><tt class="py-lineno"> 53</tt> <a class="py-toggle" href="#" id="LinearRegressionWithSGD-toggle" onclick="return toggle('LinearRegressionWithSGD');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyspark.mllib.regression.LinearRegressionWithSGD-class.html">LinearRegressionWithSGD</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearRegressionWithSGD-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="LinearRegressionWithSGD-expanded"><a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line">    <tt class="py-decorator">@</tt><tt class="py-decorator">classmethod</tt> </tt>
<a name="LinearRegressionWithSGD.train"></a><div id="LinearRegressionWithSGD.train-def"><a name="L55"></a><tt class="py-lineno"> 55</tt> <a class="py-toggle" href="#" id="LinearRegressionWithSGD.train-toggle" onclick="return toggle('LinearRegressionWithSGD.train');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyspark.mllib.regression.LinearRegressionWithSGD-class.html#train">train</a><tt class="py-op">(</tt><tt class="py-param">cls</tt><tt class="py-op">,</tt> <tt class="py-param">data</tt><tt class="py-op">,</tt> <tt class="py-param">iterations</tt><tt class="py-op">=</tt><tt class="py-number">100</tt><tt class="py-op">,</tt> <tt class="py-param">step</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line">              <tt class="py-param">miniBatchFraction</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">initialWeights</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LinearRegressionWithSGD.train-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="LinearRegressionWithSGD.train-expanded"><a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line">        <tt class="py-docstring">"""Train a linear regression model on the given data."""</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line">        <tt class="py-name">sc</tt> <tt class="py-op">=</tt> <tt class="py-name">data</tt><tt class="py-op">.</tt><tt id="link-4" class="py-name" targets="Module pyspark.context=pyspark.context-module.html,Method pyspark.rdd.RDD.context()=pyspark.rdd.RDD-class.html#context"><a title="pyspark.context
pyspark.rdd.RDD.context" class="py-name" href="#" onclick="return doclink('link-4', 'context', 'link-4');">context</a></tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">_regression_train_wrapper</tt><tt class="py-op">(</tt><tt class="py-name">sc</tt><tt class="py-op">,</tt> <tt class="py-keyword">lambda</tt> <tt class="py-name">d</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">:</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line">                <tt class="py-name">sc</tt><tt class="py-op">.</tt><tt id="link-5" class="py-name" targets="Variable pyspark.context.SparkContext._jvm=pyspark.context.SparkContext-class.html#_jvm"><a title="pyspark.context.SparkContext._jvm" class="py-name" href="#" onclick="return doclink('link-5', '_jvm', 'link-5');">_jvm</a></tt><tt class="py-op">.</tt><tt class="py-name">PythonMLLibAPI</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">trainLinearRegressionModelWithSGD</tt><tt class="py-op">(</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line">                        <tt class="py-name">d</tt><tt class="py-op">.</tt><tt class="py-name">_jrdd</tt><tt class="py-op">,</tt> <tt class="py-name">iterations</tt><tt class="py-op">,</tt> <tt class="py-name">step</tt><tt class="py-op">,</tt> <tt class="py-name">miniBatchFraction</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line">                <tt id="link-6" class="py-name" targets="Class pyspark.mllib.regression.LinearRegressionModel=pyspark.mllib.regression.LinearRegressionModel-class.html"><a title="pyspark.mllib.regression.LinearRegressionModel" class="py-name" href="#" onclick="return doclink('link-6', 'LinearRegressionModel', 'link-6');">LinearRegressionModel</a></tt><tt class="py-op">,</tt> <tt class="py-name">data</tt><tt class="py-op">,</tt> <tt class="py-name">initialWeights</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line"> </tt>
<a name="LassoModel"></a><div id="LassoModel-def"><a name="L64"></a><tt class="py-lineno"> 64</tt> <a class="py-toggle" href="#" id="LassoModel-toggle" onclick="return toggle('LassoModel');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyspark.mllib.regression.LassoModel-class.html">LassoModel</a><tt class="py-op">(</tt><tt class="py-base-class">LinearRegressionModelBase</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LassoModel-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="LassoModel-expanded"><a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line">    <tt class="py-docstring">"""A linear regression model derived from a least-squares fit with an</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring">    l_1 penalty term.</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; data = array([0.0, 0.0, 1.0, 1.0, 3.0, 2.0, 2.0, 3.0]).reshape(4,2)</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; lrm = LassoWithSGD.train(sc.parallelize(data), initialWeights=array([1.0]))</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
</div><a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line"> </tt>
<a name="LassoWithSGD"></a><div id="LassoWithSGD-def"><a name="L72"></a><tt class="py-lineno"> 72</tt> <a class="py-toggle" href="#" id="LassoWithSGD-toggle" onclick="return toggle('LassoWithSGD');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyspark.mllib.regression.LassoWithSGD-class.html">LassoWithSGD</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LassoWithSGD-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="LassoWithSGD-expanded"><a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">    <tt class="py-decorator">@</tt><tt class="py-decorator">classmethod</tt> </tt>
<a name="LassoWithSGD.train"></a><div id="LassoWithSGD.train-def"><a name="L74"></a><tt class="py-lineno"> 74</tt> <a class="py-toggle" href="#" id="LassoWithSGD.train-toggle" onclick="return toggle('LassoWithSGD.train');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyspark.mllib.regression.LassoWithSGD-class.html#train">train</a><tt class="py-op">(</tt><tt class="py-param">cls</tt><tt class="py-op">,</tt> <tt class="py-param">data</tt><tt class="py-op">,</tt> <tt class="py-param">iterations</tt><tt class="py-op">=</tt><tt class="py-number">100</tt><tt class="py-op">,</tt> <tt class="py-param">step</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">regParam</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">              <tt class="py-param">miniBatchFraction</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">initialWeights</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="LassoWithSGD.train-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="LassoWithSGD.train-expanded"><a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line">        <tt class="py-docstring">"""Train a Lasso regression model on the given data."""</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line">        <tt class="py-name">sc</tt> <tt class="py-op">=</tt> <tt class="py-name">data</tt><tt class="py-op">.</tt><tt id="link-7" class="py-name"><a title="pyspark.context
pyspark.rdd.RDD.context" class="py-name" href="#" onclick="return doclink('link-7', 'context', 'link-4');">context</a></tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">_regression_train_wrapper</tt><tt class="py-op">(</tt><tt class="py-name">sc</tt><tt class="py-op">,</tt> <tt class="py-keyword">lambda</tt> <tt class="py-name">d</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">:</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">                <tt class="py-name">sc</tt><tt class="py-op">.</tt><tt id="link-8" class="py-name"><a title="pyspark.context.SparkContext._jvm" class="py-name" href="#" onclick="return doclink('link-8', '_jvm', 'link-5');">_jvm</a></tt><tt class="py-op">.</tt><tt class="py-name">PythonMLLibAPI</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">trainLassoModelWithSGD</tt><tt class="py-op">(</tt><tt class="py-name">d</tt><tt class="py-op">.</tt><tt class="py-name">_jrdd</tt><tt class="py-op">,</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">                        <tt class="py-name">iterations</tt><tt class="py-op">,</tt> <tt class="py-name">step</tt><tt class="py-op">,</tt> <tt class="py-name">regParam</tt><tt class="py-op">,</tt> <tt class="py-name">miniBatchFraction</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">                <tt id="link-9" class="py-name" targets="Class pyspark.mllib.regression.LassoModel=pyspark.mllib.regression.LassoModel-class.html"><a title="pyspark.mllib.regression.LassoModel" class="py-name" href="#" onclick="return doclink('link-9', 'LassoModel', 'link-9');">LassoModel</a></tt><tt class="py-op">,</tt> <tt class="py-name">data</tt><tt class="py-op">,</tt> <tt class="py-name">initialWeights</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line"> </tt>
<a name="RidgeRegressionModel"></a><div id="RidgeRegressionModel-def"><a name="L83"></a><tt class="py-lineno"> 83</tt> <a class="py-toggle" href="#" id="RidgeRegressionModel-toggle" onclick="return toggle('RidgeRegressionModel');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyspark.mllib.regression.RidgeRegressionModel-class.html">RidgeRegressionModel</a><tt class="py-op">(</tt><tt class="py-base-class">LinearRegressionModelBase</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="RidgeRegressionModel-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="RidgeRegressionModel-expanded"><a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">    <tt class="py-docstring">"""A linear regression model derived from a least-squares fit with an</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line"><tt class="py-docstring">    l_2 penalty term.</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; data = array([0.0, 0.0, 1.0, 1.0, 3.0, 2.0, 2.0, 3.0]).reshape(4,2)</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line"><tt class="py-docstring">    &gt;&gt;&gt; lrm = RidgeRegressionWithSGD.train(sc.parallelize(data), initialWeights=array([1.0]))</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
</div><a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line"> </tt>
<a name="RidgeRegressionWithSGD"></a><div id="RidgeRegressionWithSGD-def"><a name="L91"></a><tt class="py-lineno"> 91</tt> <a class="py-toggle" href="#" id="RidgeRegressionWithSGD-toggle" onclick="return toggle('RidgeRegressionWithSGD');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyspark.mllib.regression.RidgeRegressionWithSGD-class.html">RidgeRegressionWithSGD</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="RidgeRegressionWithSGD-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="RidgeRegressionWithSGD-expanded"><a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line">    <tt class="py-decorator">@</tt><tt class="py-decorator">classmethod</tt> </tt>
<a name="RidgeRegressionWithSGD.train"></a><div id="RidgeRegressionWithSGD.train-def"><a name="L93"></a><tt class="py-lineno"> 93</tt> <a class="py-toggle" href="#" id="RidgeRegressionWithSGD.train-toggle" onclick="return toggle('RidgeRegressionWithSGD.train');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyspark.mllib.regression.RidgeRegressionWithSGD-class.html#train">train</a><tt class="py-op">(</tt><tt class="py-param">cls</tt><tt class="py-op">,</tt> <tt class="py-param">data</tt><tt class="py-op">,</tt> <tt class="py-param">iterations</tt><tt class="py-op">=</tt><tt class="py-number">100</tt><tt class="py-op">,</tt> <tt class="py-param">step</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">regParam</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">              <tt class="py-param">miniBatchFraction</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">initialWeights</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="RidgeRegressionWithSGD.train-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="RidgeRegressionWithSGD.train-expanded"><a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">        <tt class="py-docstring">"""Train a ridge regression model on the given data."""</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line">        <tt class="py-name">sc</tt> <tt class="py-op">=</tt> <tt class="py-name">data</tt><tt class="py-op">.</tt><tt id="link-10" class="py-name"><a title="pyspark.context
pyspark.rdd.RDD.context" class="py-name" href="#" onclick="return doclink('link-10', 'context', 'link-4');">context</a></tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">_regression_train_wrapper</tt><tt class="py-op">(</tt><tt class="py-name">sc</tt><tt class="py-op">,</tt> <tt class="py-keyword">lambda</tt> <tt class="py-name">d</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">:</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line">                <tt class="py-name">sc</tt><tt class="py-op">.</tt><tt id="link-11" class="py-name"><a title="pyspark.context.SparkContext._jvm" class="py-name" href="#" onclick="return doclink('link-11', '_jvm', 'link-5');">_jvm</a></tt><tt class="py-op">.</tt><tt class="py-name">PythonMLLibAPI</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt class="py-name">trainRidgeModelWithSGD</tt><tt class="py-op">(</tt><tt class="py-name">d</tt><tt class="py-op">.</tt><tt class="py-name">_jrdd</tt><tt class="py-op">,</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line">                        <tt class="py-name">iterations</tt><tt class="py-op">,</tt> <tt class="py-name">step</tt><tt class="py-op">,</tt> <tt class="py-name">regParam</tt><tt class="py-op">,</tt> <tt class="py-name">miniBatchFraction</tt><tt class="py-op">,</tt> <tt class="py-name">i</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">                <tt id="link-12" class="py-name" targets="Class pyspark.mllib.regression.RidgeRegressionModel=pyspark.mllib.regression.RidgeRegressionModel-class.html"><a title="pyspark.mllib.regression.RidgeRegressionModel" class="py-name" href="#" onclick="return doclink('link-12', 'RidgeRegressionModel', 'link-12');">RidgeRegressionModel</a></tt><tt class="py-op">,</tt> <tt class="py-name">data</tt><tt class="py-op">,</tt> <tt class="py-name">initialWeights</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line"> </tt>
<a name="_test"></a><div id="_test-def"><a name="L102"></a><tt class="py-lineno">102</tt> <a class="py-toggle" href="#" id="_test-toggle" onclick="return toggle('_test');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyspark.mllib.regression-module.html#_test">_test</a><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="_test-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_test-expanded"><a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line">    <tt class="py-keyword">import</tt> <tt class="py-name">doctest</tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line">    <tt class="py-name">globs</tt> <tt class="py-op">=</tt> <tt class="py-name">globals</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">.</tt><tt id="link-13" class="py-name" targets="Method pyspark.statcounter.StatCounter.copy()=pyspark.statcounter.StatCounter-class.html#copy"><a title="pyspark.statcounter.StatCounter.copy" class="py-name" href="#" onclick="return doclink('link-13', 'copy', 'link-13');">copy</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line">    <tt class="py-name">globs</tt><tt class="py-op">[</tt><tt class="py-string">'sc'</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt id="link-14" class="py-name"><a title="pyspark.context.SparkContext" class="py-name" href="#" onclick="return doclink('link-14', 'SparkContext', 'link-1');">SparkContext</a></tt><tt class="py-op">(</tt><tt class="py-string">'local[4]'</tt><tt class="py-op">,</tt> <tt class="py-string">'PythonTest'</tt><tt class="py-op">,</tt> <tt class="py-name">batchSize</tt><tt class="py-op">=</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line">    <tt class="py-op">(</tt><tt class="py-name">failure_count</tt><tt class="py-op">,</tt> <tt class="py-name">test_count</tt><tt class="py-op">)</tt> <tt class="py-op">=</tt> <tt class="py-name">doctest</tt><tt class="py-op">.</tt><tt class="py-name">testmod</tt><tt class="py-op">(</tt><tt class="py-name">globs</tt><tt class="py-op">=</tt><tt class="py-name">globs</tt><tt class="py-op">,</tt> </tt>
<a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line">            <tt class="py-name">optionflags</tt><tt class="py-op">=</tt><tt class="py-name">doctest</tt><tt class="py-op">.</tt><tt class="py-name">ELLIPSIS</tt><tt class="py-op">)</tt> </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line">    <tt class="py-name">globs</tt><tt class="py-op">[</tt><tt class="py-string">'sc'</tt><tt class="py-op">]</tt><tt class="py-op">.</tt><tt id="link-15" class="py-name" targets="Method pyspark.context.SparkContext.stop()=pyspark.context.SparkContext-class.html#stop"><a title="pyspark.context.SparkContext.stop" class="py-name" href="#" onclick="return doclink('link-15', 'stop', 'link-15');">stop</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">    <tt class="py-keyword">if</tt> <tt class="py-name">failure_count</tt><tt class="py-op">:</tt> </tt>
<a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line">        <tt class="py-name">exit</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">1</tt><tt class="py-op">)</tt> </tt>
</div><a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line"> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line"><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt> <tt class="py-op">==</tt> <tt class="py-string">"__main__"</tt><tt class="py-op">:</tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line">    <tt class="py-name">_test</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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