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Posted to commits@spark.apache.org by yh...@apache.org on 2016/12/28 22:35:22 UTC

[11/25] spark-website git commit: Update 2.1.0 docs to include https://github.com/apache/spark/pull/16294

http://git-wip-us.apache.org/repos/asf/spark-website/blob/d2bcf185/site/docs/2.1.0/mllib-linear-methods.html
----------------------------------------------------------------------
diff --git a/site/docs/2.1.0/mllib-linear-methods.html b/site/docs/2.1.0/mllib-linear-methods.html
index 46a1a25..428d778 100644
--- a/site/docs/2.1.0/mllib-linear-methods.html
+++ b/site/docs/2.1.0/mllib-linear-methods.html
@@ -307,23 +307,23 @@
                     
 
                     <ul id="markdown-toc">
-  <li><a href="#mathematical-formulation" id="markdown-toc-mathematical-formulation">Mathematical formulation</a>    <ul>
-      <li><a href="#loss-functions" id="markdown-toc-loss-functions">Loss functions</a></li>
-      <li><a href="#regularizers" id="markdown-toc-regularizers">Regularizers</a></li>
-      <li><a href="#optimization" id="markdown-toc-optimization">Optimization</a></li>
+  <li><a href="#mathematical-formulation">Mathematical formulation</a>    <ul>
+      <li><a href="#loss-functions">Loss functions</a></li>
+      <li><a href="#regularizers">Regularizers</a></li>
+      <li><a href="#optimization">Optimization</a></li>
     </ul>
   </li>
-  <li><a href="#classification" id="markdown-toc-classification">Classification</a>    <ul>
-      <li><a href="#linear-support-vector-machines-svms" id="markdown-toc-linear-support-vector-machines-svms">Linear Support Vector Machines (SVMs)</a></li>
-      <li><a href="#logistic-regression" id="markdown-toc-logistic-regression">Logistic regression</a></li>
+  <li><a href="#classification">Classification</a>    <ul>
+      <li><a href="#linear-support-vector-machines-svms">Linear Support Vector Machines (SVMs)</a></li>
+      <li><a href="#logistic-regression">Logistic regression</a></li>
     </ul>
   </li>
-  <li><a href="#regression" id="markdown-toc-regression">Regression</a>    <ul>
-      <li><a href="#linear-least-squares-lasso-and-ridge-regression" id="markdown-toc-linear-least-squares-lasso-and-ridge-regression">Linear least squares, Lasso, and ridge regression</a></li>
-      <li><a href="#streaming-linear-regression" id="markdown-toc-streaming-linear-regression">Streaming linear regression</a></li>
+  <li><a href="#regression">Regression</a>    <ul>
+      <li><a href="#linear-least-squares-lasso-and-ridge-regression">Linear least squares, Lasso, and ridge regression</a></li>
+      <li><a href="#streaming-linear-regression">Streaming linear regression</a></li>
     </ul>
   </li>
-  <li><a href="#implementation-developer" id="markdown-toc-implementation-developer">Implementation (developer)</a></li>
+  <li><a href="#implementation-developer">Implementation (developer)</a></li>
 </ul>
 
 <p><code>\[
@@ -489,7 +489,7 @@ error.</p>
 
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.classification.SVMWithSGD"><code>SVMWithSGD</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.classification.SVMModel"><code>SVMModel</code> Scala docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.</span><span class="o">{</span><span class="nc">SVMModel</span><span class="o">,</span> <span class="nc">SVMWithSGD</span><span class="o">}</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.</span><span class="o">{</span><span class="nc">SVMModel</span><span class="o">,</span> <span class="nc">SVMWithSGD</span><span class="o">}</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.evaluation.BinaryClassificationMetrics</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
 
@@ -534,14 +534,14 @@ this way as well. For example, the following code produces an L1 regularized
 variant of SVMs with regularization parameter set to 0.1, and runs the training
 algorithm for 200 iterations.</p>
 
-    <div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.mllib.optimization.L1Updater</span>
+    <figure class="highlight"><pre><code class="language-scala" data-lang="scala"><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.optimization.L1Updater</span>
 
 <span class="k">val</span> <span class="n">svmAlg</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">SVMWithSGD</span><span class="o">()</span>
 <span class="n">svmAlg</span><span class="o">.</span><span class="n">optimizer</span>
   <span class="o">.</span><span class="n">setNumIterations</span><span class="o">(</span><span class="mi">200</span><span class="o">)</span>
   <span class="o">.</span><span class="n">setRegParam</span><span class="o">(</span><span class="mf">0.1</span><span class="o">)</span>
   <span class="o">.</span><span class="n">setUpdater</span><span class="o">(</span><span class="k">new</span> <span class="n">L1Updater</span><span class="o">)</span>
-<span class="k">val</span> <span class="n">modelL1</span> <span class="k">=</span> <span class="n">svmAlg</span><span class="o">.</span><span class="n">run</span><span class="o">(</span><span class="n">training</span><span class="o">)</span></code></pre></div>
+<span class="k">val</span> <span class="n">modelL1</span> <span class="k">=</span> <span class="n">svmAlg</span><span class="o">.</span><span class="n">run</span><span class="o">(</span><span class="n">training</span><span class="o">)</span></code></pre></figure>
 
   </div>
 
@@ -554,7 +554,7 @@ that is equivalent to the provided example in Scala is given below:</p>
 
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/classification/SVMWithSGD.html"><code>SVMWithSGD</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/classification/SVMModel.html"><code>SVMModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.JavaRDD</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.function.Function</span><span class="o">;</span>
@@ -591,7 +591,7 @@ that is equivalent to the provided example in Scala is given below:</p>
 
 <span class="c1">// Get evaluation metrics.</span>
 <span class="n">BinaryClassificationMetrics</span> <span class="n">metrics</span> <span class="o">=</span>
-  <span class="k">new</span> <span class="nf">BinaryClassificationMetrics</span><span class="o">(</span><span class="n">JavaRDD</span><span class="o">.</span><span class="na">toRDD</span><span class="o">(</span><span class="n">scoreAndLabels</span><span class="o">));</span>
+  <span class="k">new</span> <span class="n">BinaryClassificationMetrics</span><span class="o">(</span><span class="n">JavaRDD</span><span class="o">.</span><span class="na">toRDD</span><span class="o">(</span><span class="n">scoreAndLabels</span><span class="o">));</span>
 <span class="kt">double</span> <span class="n">auROC</span> <span class="o">=</span> <span class="n">metrics</span><span class="o">.</span><span class="na">areaUnderROC</span><span class="o">();</span>
 
 <span class="n">System</span><span class="o">.</span><span class="na">out</span><span class="o">.</span><span class="na">println</span><span class="o">(</span><span class="s">&quot;Area under ROC = &quot;</span> <span class="o">+</span> <span class="n">auROC</span><span class="o">);</span>
@@ -610,14 +610,14 @@ this way as well. For example, the following code produces an L1 regularized
 variant of SVMs with regularization parameter set to 0.1, and runs the training
 algorithm for 200 iterations.</p>
 
-    <div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">org.apache.spark.mllib.optimization.L1Updater</span><span class="o">;</span>
+    <figure class="highlight"><pre><code class="language-java" data-lang="java"><span></span><span class="kn">import</span> <span class="nn">org.apache.spark.mllib.optimization.L1Updater</span><span class="o">;</span>
 
-<span class="n">SVMWithSGD</span> <span class="n">svmAlg</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">SVMWithSGD</span><span class="o">();</span>
+<span class="n">SVMWithSGD</span> <span class="n">svmAlg</span> <span class="o">=</span> <span class="k">new</span> <span class="n">SVMWithSGD</span><span class="o">();</span>
 <span class="n">svmAlg</span><span class="o">.</span><span class="na">optimizer</span><span class="o">()</span>
   <span class="o">.</span><span class="na">setNumIterations</span><span class="o">(</span><span class="mi">200</span><span class="o">)</span>
   <span class="o">.</span><span class="na">setRegParam</span><span class="o">(</span><span class="mf">0.1</span><span class="o">)</span>
-  <span class="o">.</span><span class="na">setUpdater</span><span class="o">(</span><span class="k">new</span> <span class="nf">L1Updater</span><span class="o">());</span>
-<span class="kd">final</span> <span class="n">SVMModel</span> <span class="n">modelL1</span> <span class="o">=</span> <span class="n">svmAlg</span><span class="o">.</span><span class="na">run</span><span class="o">(</span><span class="n">training</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span></code></pre></div>
+  <span class="o">.</span><span class="na">setUpdater</span><span class="o">(</span><span class="k">new</span> <span class="n">L1Updater</span><span class="o">());</span>
+<span class="kd">final</span> <span class="n">SVMModel</span> <span class="n">modelL1</span> <span class="o">=</span> <span class="n">svmAlg</span><span class="o">.</span><span class="na">run</span><span class="o">(</span><span class="n">training</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span></code></pre></figure>
 
     <p>In order to run the above application, follow the instructions
 provided in the <a href="quick-start.html#self-contained-applications">Self-Contained
@@ -632,28 +632,28 @@ and make predictions with the resulting model to compute the training error.</p>
 
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.classification.SVMWithSGD"><code>SVMWithSGD</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.classification.SVMModel"><code>SVMModel</code> Python docs</a> for more details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">from</span> <span class="nn">pyspark.mllib.classification</span> <span class="kn">import</span> <span class="n">SVMWithSGD</span><span class="p">,</span> <span class="n">SVMModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.classification</span> <span class="kn">import</span> <span class="n">SVMWithSGD</span><span class="p">,</span> <span class="n">SVMModel</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="c"># Load and parse the data</span>
+<span class="c1"># Load and parse the data</span>
 <span class="k">def</span> <span class="nf">parsePoint</span><span class="p">(</span><span class="n">line</span><span class="p">):</span>
-    <span class="n">values</span> <span class="o">=</span> <span class="p">[</span><span class="nb">float</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">line</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">)]</span>
+    <span class="n">values</span> <span class="o">=</span> <span class="p">[</span><span class="nb">float</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">line</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s1">&#39; &#39;</span><span class="p">)]</span>
     <span class="k">return</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="n">values</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">values</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span>
 
-<span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">textFile</span><span class="p">(</span><span class="s">&quot;data/mllib/sample_svm_data.txt&quot;</span><span class="p">)</span>
+<span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">textFile</span><span class="p">(</span><span class="s2">&quot;data/mllib/sample_svm_data.txt&quot;</span><span class="p">)</span>
 <span class="n">parsedData</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">parsePoint</span><span class="p">)</span>
 
-<span class="c"># Build the model</span>
+<span class="c1"># Build the model</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">SVMWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">parsedData</span><span class="p">,</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span>
 
-<span class="c"># Evaluating the model on training data</span>
+<span class="c1"># Evaluating the model on training data</span>
 <span class="n">labelsAndPreds</span> <span class="o">=</span> <span class="n">parsedData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">p</span><span class="p">:</span> <span class="p">(</span><span class="n">p</span><span class="o">.</span><span class="n">label</span><span class="p">,</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">p</span><span class="o">.</span><span class="n">features</span><span class="p">)))</span>
 <span class="n">trainErr</span> <span class="o">=</span> <span class="n">labelsAndPreds</span><span class="o">.</span><span class="n">filter</span><span class="p">(</span><span class="k">lambda</span> <span class="p">(</span><span class="n">v</span><span class="p">,</span> <span class="n">p</span><span class="p">):</span> <span class="n">v</span> <span class="o">!=</span> <span class="n">p</span><span class="p">)</span><span class="o">.</span><span class="n">count</span><span class="p">()</span> <span class="o">/</span> <span class="nb">float</span><span class="p">(</span><span class="n">parsedData</span><span class="o">.</span><span class="n">count</span><span class="p">())</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&quot;Training Error = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">trainErr</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s2">&quot;Training Error = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">trainErr</span><span class="p">))</span>
 
-<span class="c"># Save and load model</span>
-<span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s">&quot;target/tmp/pythonSVMWithSGDModel&quot;</span><span class="p">)</span>
-<span class="n">sameModel</span> <span class="o">=</span> <span class="n">SVMModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s">&quot;target/tmp/pythonSVMWithSGDModel&quot;</span><span class="p">)</span>
+<span class="c1"># Save and load model</span>
+<span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s2">&quot;target/tmp/pythonSVMWithSGDModel&quot;</span><span class="p">)</span>
+<span class="n">sameModel</span> <span class="o">=</span> <span class="n">SVMModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s2">&quot;target/tmp/pythonSVMWithSGDModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/svm_with_sgd_example.py" in the Spark repo.</small></div>
   </div>
@@ -713,7 +713,7 @@ Then the model is evaluated against the test dataset and saved to disk.</p>
 
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.classification.LogisticRegressionWithLBFGS"><code>LogisticRegressionWithLBFGS</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.classification.LogisticRegressionModel"><code>LogisticRegressionModel</code> Scala docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.</span><span class="o">{</span><span class="nc">LogisticRegressionModel</span><span class="o">,</span> <span class="nc">LogisticRegressionWithLBFGS</span><span class="o">}</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.</span><span class="o">{</span><span class="nc">LogisticRegressionModel</span><span class="o">,</span> <span class="nc">LogisticRegressionWithLBFGS</span><span class="o">}</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.evaluation.MulticlassMetrics</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.regression.LabeledPoint</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
@@ -740,7 +740,7 @@ Then the model is evaluated against the test dataset and saved to disk.</p>
 <span class="c1">// Get evaluation metrics.</span>
 <span class="k">val</span> <span class="n">metrics</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">MulticlassMetrics</span><span class="o">(</span><span class="n">predictionAndLabels</span><span class="o">)</span>
 <span class="k">val</span> <span class="n">accuracy</span> <span class="k">=</span> <span class="n">metrics</span><span class="o">.</span><span class="n">accuracy</span>
-<span class="n">println</span><span class="o">(</span><span class="n">s</span><span class="s">&quot;Accuracy = $accuracy&quot;</span><span class="o">)</span>
+<span class="n">println</span><span class="o">(</span><span class="s">s&quot;Accuracy = </span><span class="si">$accuracy</span><span class="s">&quot;</span><span class="o">)</span>
 
 <span class="c1">// Save and load model</span>
 <span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="o">(</span><span class="n">sc</span><span class="o">,</span> <span class="s">&quot;target/tmp/scalaLogisticRegressionWithLBFGSModel&quot;</span><span class="o">)</span>
@@ -760,7 +760,7 @@ Then the model is evaluated against the test dataset and saved to disk.</p>
 
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/classification/LogisticRegressionWithLBFGS.html"><code>LogisticRegressionWithLBFGS</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/classification/LogisticRegressionModel.html"><code>LogisticRegressionModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.JavaRDD</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.function.Function</span><span class="o">;</span>
@@ -779,7 +779,7 @@ Then the model is evaluated against the test dataset and saved to disk.</p>
 <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">LabeledPoint</span><span class="o">&gt;</span> <span class="n">test</span> <span class="o">=</span> <span class="n">splits</span><span class="o">[</span><span class="mi">1</span><span class="o">];</span>
 
 <span class="c1">// Run training algorithm to build the model.</span>
-<span class="kd">final</span> <span class="n">LogisticRegressionModel</span> <span class="n">model</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">LogisticRegressionWithLBFGS</span><span class="o">()</span>
+<span class="kd">final</span> <span class="n">LogisticRegressionModel</span> <span class="n">model</span> <span class="o">=</span> <span class="k">new</span> <span class="n">LogisticRegressionWithLBFGS</span><span class="o">()</span>
   <span class="o">.</span><span class="na">setNumClasses</span><span class="o">(</span><span class="mi">10</span><span class="o">)</span>
   <span class="o">.</span><span class="na">run</span><span class="o">(</span><span class="n">training</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
 
@@ -794,7 +794,7 @@ Then the model is evaluated against the test dataset and saved to disk.</p>
 <span class="o">);</span>
 
 <span class="c1">// Get evaluation metrics.</span>
-<span class="n">MulticlassMetrics</span> <span class="n">metrics</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">MulticlassMetrics</span><span class="o">(</span><span class="n">predictionAndLabels</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
+<span class="n">MulticlassMetrics</span> <span class="n">metrics</span> <span class="o">=</span> <span class="k">new</span> <span class="n">MulticlassMetrics</span><span class="o">(</span><span class="n">predictionAndLabels</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
 <span class="kt">double</span> <span class="n">accuracy</span> <span class="o">=</span> <span class="n">metrics</span><span class="o">.</span><span class="na">accuracy</span><span class="o">();</span>
 <span class="n">System</span><span class="o">.</span><span class="na">out</span><span class="o">.</span><span class="na">println</span><span class="o">(</span><span class="s">&quot;Accuracy = &quot;</span> <span class="o">+</span> <span class="n">accuracy</span><span class="o">);</span>
 
@@ -815,29 +815,29 @@ will in the future.</p>
 
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.classification.LogisticRegressionWithLBFGS"><code>LogisticRegressionWithLBFGS</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.classification.LogisticRegressionModel"><code>LogisticRegressionModel</code> Python docs</a> for more details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">from</span> <span class="nn">pyspark.mllib.classification</span> <span class="kn">import</span> <span class="n">LogisticRegressionWithLBFGS</span><span class="p">,</span> <span class="n">LogisticRegressionModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.classification</span> <span class="kn">import</span> <span class="n">LogisticRegressionWithLBFGS</span><span class="p">,</span> <span class="n">LogisticRegressionModel</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="c"># Load and parse the data</span>
+<span class="c1"># Load and parse the data</span>
 <span class="k">def</span> <span class="nf">parsePoint</span><span class="p">(</span><span class="n">line</span><span class="p">):</span>
-    <span class="n">values</span> <span class="o">=</span> <span class="p">[</span><span class="nb">float</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">line</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">)]</span>
+    <span class="n">values</span> <span class="o">=</span> <span class="p">[</span><span class="nb">float</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">line</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s1">&#39; &#39;</span><span class="p">)]</span>
     <span class="k">return</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="n">values</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">values</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span>
 
-<span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">textFile</span><span class="p">(</span><span class="s">&quot;data/mllib/sample_svm_data.txt&quot;</span><span class="p">)</span>
+<span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">textFile</span><span class="p">(</span><span class="s2">&quot;data/mllib/sample_svm_data.txt&quot;</span><span class="p">)</span>
 <span class="n">parsedData</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">parsePoint</span><span class="p">)</span>
 
-<span class="c"># Build the model</span>
+<span class="c1"># Build the model</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">LogisticRegressionWithLBFGS</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">parsedData</span><span class="p">)</span>
 
-<span class="c"># Evaluating the model on training data</span>
+<span class="c1"># Evaluating the model on training data</span>
 <span class="n">labelsAndPreds</span> <span class="o">=</span> <span class="n">parsedData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">p</span><span class="p">:</span> <span class="p">(</span><span class="n">p</span><span class="o">.</span><span class="n">label</span><span class="p">,</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">p</span><span class="o">.</span><span class="n">features</span><span class="p">)))</span>
 <span class="n">trainErr</span> <span class="o">=</span> <span class="n">labelsAndPreds</span><span class="o">.</span><span class="n">filter</span><span class="p">(</span><span class="k">lambda</span> <span class="p">(</span><span class="n">v</span><span class="p">,</span> <span class="n">p</span><span class="p">):</span> <span class="n">v</span> <span class="o">!=</span> <span class="n">p</span><span class="p">)</span><span class="o">.</span><span class="n">count</span><span class="p">()</span> <span class="o">/</span> <span class="nb">float</span><span class="p">(</span><span class="n">parsedData</span><span class="o">.</span><span class="n">count</span><span class="p">())</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&quot;Training Error = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">trainErr</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s2">&quot;Training Error = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">trainErr</span><span class="p">))</span>
 
-<span class="c"># Save and load model</span>
-<span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s">&quot;target/tmp/pythonLogisticRegressionWithLBFGSModel&quot;</span><span class="p">)</span>
+<span class="c1"># Save and load model</span>
+<span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s2">&quot;target/tmp/pythonLogisticRegressionWithLBFGSModel&quot;</span><span class="p">)</span>
 <span class="n">sameModel</span> <span class="o">=</span> <span class="n">LogisticRegressionModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span>
-                                         <span class="s">&quot;target/tmp/pythonLogisticRegressionWithLBFGSModel&quot;</span><span class="p">)</span>
+                                         <span class="s2">&quot;target/tmp/pythonLogisticRegressionWithLBFGSModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/logistic_regression_with_lbfgs_example.py" in the Spark repo.</small></div>
   </div>
@@ -874,7 +874,7 @@ values. We compute the mean squared error at the end to evaluate
 
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.regression.LinearRegressionWithSGD"><code>LinearRegressionWithSGD</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.regression.LinearRegressionModel"><code>LinearRegressionModel</code> Scala docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.regression.LabeledPoint</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.regression.LinearRegressionModel</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.regression.LinearRegressionWithSGD</span>
@@ -919,7 +919,7 @@ the Scala snippet provided, is presented below:</p>
 
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/regression/LinearRegressionWithSGD.html"><code>LinearRegressionWithSGD</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/regression/LinearRegressionModel.html"><code>LinearRegressionModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.JavaDoubleRDD</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.JavaRDD</span><span class="o">;</span>
@@ -941,7 +941,7 @@ the Scala snippet provided, is presented below:</p>
       <span class="k">for</span> <span class="o">(</span><span class="kt">int</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="o">;</span> <span class="n">i</span> <span class="o">&lt;</span> <span class="n">features</span><span class="o">.</span><span class="na">length</span> <span class="o">-</span> <span class="mi">1</span><span class="o">;</span> <span class="n">i</span><span class="o">++)</span> <span class="o">{</span>
         <span class="n">v</span><span class="o">[</span><span class="n">i</span><span class="o">]</span> <span class="o">=</span> <span class="n">Double</span><span class="o">.</span><span class="na">parseDouble</span><span class="o">(</span><span class="n">features</span><span class="o">[</span><span class="n">i</span><span class="o">]);</span>
       <span class="o">}</span>
-      <span class="k">return</span> <span class="k">new</span> <span class="nf">LabeledPoint</span><span class="o">(</span><span class="n">Double</span><span class="o">.</span><span class="na">parseDouble</span><span class="o">(</span><span class="n">parts</span><span class="o">[</span><span class="mi">0</span><span class="o">]),</span> <span class="n">Vectors</span><span class="o">.</span><span class="na">dense</span><span class="o">(</span><span class="n">v</span><span class="o">));</span>
+      <span class="k">return</span> <span class="k">new</span> <span class="n">LabeledPoint</span><span class="o">(</span><span class="n">Double</span><span class="o">.</span><span class="na">parseDouble</span><span class="o">(</span><span class="n">parts</span><span class="o">[</span><span class="mi">0</span><span class="o">]),</span> <span class="n">Vectors</span><span class="o">.</span><span class="na">dense</span><span class="o">(</span><span class="n">v</span><span class="o">));</span>
     <span class="o">}</span>
   <span class="o">}</span>
 <span class="o">);</span>
@@ -962,7 +962,7 @@ the Scala snippet provided, is presented below:</p>
     <span class="o">}</span>
   <span class="o">}</span>
 <span class="o">);</span>
-<span class="kt">double</span> <span class="n">MSE</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">JavaDoubleRDD</span><span class="o">(</span><span class="n">valuesAndPreds</span><span class="o">.</span><span class="na">map</span><span class="o">(</span>
+<span class="kt">double</span> <span class="n">MSE</span> <span class="o">=</span> <span class="k">new</span> <span class="n">JavaDoubleRDD</span><span class="o">(</span><span class="n">valuesAndPreds</span><span class="o">.</span><span class="na">map</span><span class="o">(</span>
   <span class="k">new</span> <span class="n">Function</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Double</span><span class="o">,</span> <span class="n">Double</span><span class="o">&gt;,</span> <span class="n">Object</span><span class="o">&gt;()</span> <span class="o">{</span>
     <span class="kd">public</span> <span class="n">Object</span> <span class="nf">call</span><span class="o">(</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Double</span><span class="o">,</span> <span class="n">Double</span><span class="o">&gt;</span> <span class="n">pair</span><span class="o">)</span> <span class="o">{</span>
       <span class="k">return</span> <span class="n">Math</span><span class="o">.</span><span class="na">pow</span><span class="o">(</span><span class="n">pair</span><span class="o">.</span><span class="na">_1</span><span class="o">()</span> <span class="o">-</span> <span class="n">pair</span><span class="o">.</span><span class="na">_2</span><span class="o">(),</span> <span class="mf">2.0</span><span class="o">);</span>
@@ -989,29 +989,29 @@ values. We compute the mean squared error at the end to evaluate
 
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.regression.LinearRegressionWithSGD"><code>LinearRegressionWithSGD</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.regression.LinearRegressionModel"><code>LinearRegressionModel</code> Python docs</a> for more details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span><span class="p">,</span> <span class="n">LinearRegressionWithSGD</span><span class="p">,</span> <span class="n">LinearRegressionModel</span>
+    <div class="highlight"><pre><span></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="p">,</span> <span class="n">LinearRegressionWithSGD</span><span class="p">,</span> <span class="n">LinearRegressionModel</span>
 
-<span class="c"># Load and parse the data</span>
+<span class="c1"># Load and parse the data</span>
 <span class="k">def</span> <span class="nf">parsePoint</span><span class="p">(</span><span class="n">line</span><span class="p">):</span>
-    <span class="n">values</span> <span class="o">=</span> <span class="p">[</span><span class="nb">float</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">line</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s">&#39;,&#39;</span><span class="p">,</span> <span class="s">&#39; &#39;</span><span class="p">)</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&#39; &#39;</span><span class="p">)]</span>
+    <span class="n">values</span> <span class="o">=</span> <span class="p">[</span><span class="nb">float</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">line</span><span class="o">.</span><span class="n">replace</span><span class="p">(</span><span class="s1">&#39;,&#39;</span><span class="p">,</span> <span class="s1">&#39; &#39;</span><span class="p">)</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s1">&#39; &#39;</span><span class="p">)]</span>
     <span class="k">return</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="n">values</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">values</span><span class="p">[</span><span class="mi">1</span><span class="p">:])</span>
 
-<span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">textFile</span><span class="p">(</span><span class="s">&quot;data/mllib/ridge-data/lpsa.data&quot;</span><span class="p">)</span>
+<span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">textFile</span><span class="p">(</span><span class="s2">&quot;data/mllib/ridge-data/lpsa.data&quot;</span><span class="p">)</span>
 <span class="n">parsedData</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">parsePoint</span><span class="p">)</span>
 
-<span class="c"># Build the model</span>
+<span class="c1"># Build the model</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">LinearRegressionWithSGD</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">parsedData</span><span class="p">,</span> <span class="n">iterations</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">step</span><span class="o">=</span><span class="mf">0.00000001</span><span class="p">)</span>
 
-<span class="c"># Evaluate the model on training data</span>
+<span class="c1"># Evaluate the model on training data</span>
 <span class="n">valuesAndPreds</span> <span class="o">=</span> <span class="n">parsedData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">p</span><span class="p">:</span> <span class="p">(</span><span class="n">p</span><span class="o">.</span><span class="n">label</span><span class="p">,</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">p</span><span class="o">.</span><span class="n">features</span><span class="p">)))</span>
 <span class="n">MSE</span> <span class="o">=</span> <span class="n">valuesAndPreds</span> \
     <span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="p">(</span><span class="n">v</span><span class="p">,</span> <span class="n">p</span><span class="p">):</span> <span class="p">(</span><span class="n">v</span> <span class="o">-</span> <span class="n">p</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> \
     <span class="o">.</span><span class="n">reduce</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">:</span> <span class="n">x</span> <span class="o">+</span> <span class="n">y</span><span class="p">)</span> <span class="o">/</span> <span class="n">valuesAndPreds</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&quot;Mean Squared Error = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">MSE</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s2">&quot;Mean Squared Error = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">MSE</span><span class="p">))</span>
 
-<span class="c"># Save and load model</span>
-<span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s">&quot;target/tmp/pythonLinearRegressionWithSGDModel&quot;</span><span class="p">)</span>
-<span class="n">sameModel</span> <span class="o">=</span> <span class="n">LinearRegressionModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s">&quot;target/tmp/pythonLinearRegressionWithSGDModel&quot;</span><span class="p">)</span>
+<span class="c1"># Save and load model</span>
+<span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s2">&quot;target/tmp/pythonLinearRegressionWithSGDModel&quot;</span><span class="p">)</span>
+<span class="n">sameModel</span> <span class="o">=</span> <span class="n">LinearRegressionModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s2">&quot;target/tmp/pythonLinearRegressionWithSGDModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/linear_regression_with_sgd_example.py" in the Spark repo.</small></div>
   </div>
@@ -1059,25 +1059,24 @@ the model will update. Anytime a text file is placed in <code>args(1)</code> you
 As you feed more data to the training directory, the predictions
 will get better!</p>
 
-    <p>Here is a complete example:</p>
-    <div class="highlight"><pre><span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
+    <p>Here is a complete example:
+&lt;div class="highlight"&gt;&lt;pre&gt;<span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.regression.LabeledPoint</span>
-<span class="k">import</span> <span class="nn">org.apache.spark.mllib.regression.StreamingLinearRegressionWithSGD</span>
+<span class="k">import</span> <span class="nn">org.apache.spark.mllib.regression.StreamingLinearRegressionWithSGD</span></p>
 
-<span class="k">val</span> <span class="n">trainingData</span> <span class="k">=</span> <span class="n">ssc</span><span class="o">.</span><span class="n">textFileStream</span><span class="o">(</span><span class="n">args</span><span class="o">(</span><span class="mi">0</span><span class="o">)).</span><span class="n">map</span><span class="o">(</span><span class="nc">LabeledPoint</span><span class="o">.</span><span class="n">parse</span><span class="o">).</span><span class="n">cache</span><span class="o">()</span>
-<span class="k">val</span> <span class="n">testData</span> <span class="k">=</span> <span class="n">ssc</span><span class="o">.</span><span class="n">textFileStream</span><span class="o">(</span><span class="n">args</span><span class="o">(</span><span class="mi">1</span><span class="o">)).</span><span class="n">map</span><span class="o">(</span><span class="nc">LabeledPoint</span><span class="o">.</span><span class="n">parse</span><span class="o">)</span>
+    <p><span class="k">val</span> <span class="n">trainingData</span> <span class="k">=</span> <span class="n">ssc</span><span class="o">.</span><span class="n">textFileStream</span><span class="o">(</span><span class="n">args</span><span class="o">(</span><span class="mi">0</span><span class="o">)).</span><span class="n">map</span><span class="o">(</span><span class="nc">LabeledPoint</span><span class="o">.</span><span class="n">parse</span><span class="o">).</span><span class="n">cache</span><span class="o">()</span>
+<span class="k">val</span> <span class="n">testData</span> <span class="k">=</span> <span class="n">ssc</span><span class="o">.</span><span class="n">textFileStream</span><span class="o">(</span><span class="n">args</span><span class="o">(</span><span class="mi">1</span><span class="o">)).</span><span class="n">map</span><span class="o">(</span><span class="nc">LabeledPoint</span><span class="o">.</span><span class="n">parse</span><span class="o">)</span></p>
 
-<span class="k">val</span> <span class="n">numFeatures</span> <span class="k">=</span> <span class="mi">3</span>
+    <p><span class="k">val</span> <span class="n">numFeatures</span> <span class="k">=</span> <span class="mi">3</span>
 <span class="k">val</span> <span class="n">model</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">StreamingLinearRegressionWithSGD</span><span class="o">()</span>
-  <span class="o">.</span><span class="n">setInitialWeights</span><span class="o">(</span><span class="nc">Vectors</span><span class="o">.</span><span class="n">zeros</span><span class="o">(</span><span class="n">numFeatures</span><span class="o">))</span>
+  <span class="o">.</span><span class="n">setInitialWeights</span><span class="o">(</span><span class="nc">Vectors</span><span class="o">.</span><span class="n">zeros</span><span class="o">(</span><span class="n">numFeatures</span><span class="o">))</span></p>
 
-<span class="n">model</span><span class="o">.</span><span class="n">trainOn</span><span class="o">(</span><span class="n">trainingData</span><span class="o">)</span>
-<span class="n">model</span><span class="o">.</span><span class="n">predictOnValues</span><span class="o">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="o">(</span><span class="n">lp</span> <span class="k">=&gt;</span> <span class="o">(</span><span class="n">lp</span><span class="o">.</span><span class="n">label</span><span class="o">,</span> <span class="n">lp</span><span class="o">.</span><span class="n">features</span><span class="o">))).</span><span class="n">print</span><span class="o">()</span>
+    <p><span class="n">model</span><span class="o">.</span><span class="n">trainOn</span><span class="o">(</span><span class="n">trainingData</span><span class="o">)</span>
+<span class="n">model</span><span class="o">.</span><span class="n">predictOnValues</span><span class="o">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="o">(</span><span class="n">lp</span> <span class="k">=&gt;</span> <span class="o">(</span><span class="n">lp</span><span class="o">.</span><span class="n">label</span><span class="o">,</span> <span class="n">lp</span><span class="o">.</span><span class="n">features</span><span class="o">))).</span><span class="n">print</span><span class="o">()</span></p>
 
-<span class="n">ssc</span><span class="o">.</span><span class="n">start</span><span class="o">()</span>
+    <p><span class="n">ssc</span><span class="o">.</span><span class="n">start</span><span class="o">()</span>
 <span class="n">ssc</span><span class="o">.</span><span class="n">awaitTermination</span><span class="o">()</span>
-</pre></div>
-    <div><small>Find full example code at "examples/src/main/scala/org/apache/spark/examples/mllib/StreamingLinearRegressionExample.scala" in the Spark repo.</small></div>
+&lt;/pre&gt;&lt;/div&gt;&lt;div&gt;<small>Find full example code at &#8220;examples/src/main/scala/org/apache/spark/examples/mllib/StreamingLinearRegressionExample.scala&#8221; in the Spark repo.</small>&lt;/div&gt;</p>
 
   </div>
 
@@ -1101,32 +1100,31 @@ the model will update. Anytime a text file is placed in <code>sys.argv[2]</code>
 As you feed more data to the training directory, the predictions
 will get better!</p>
 
-    <p>Here a complete example:</p>
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">sys</span>
+    <p>Here a complete example:
+&lt;div class="highlight"&gt;&lt;pre&gt;<span></span><span class="kn">import</span> <span class="nn">sys</span></p>
 
-<span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">Vectors</span>
+    <p><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">Vectors</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.regression</span> <span class="kn">import</span> <span class="n">StreamingLinearRegressionWithSGD</span>
+<span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">StreamingLinearRegressionWithSGD</span></p>
 
-<span class="k">def</span> <span class="nf">parse</span><span class="p">(</span><span class="n">lp</span><span class="p">):</span>
-    <span class="n">label</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">lp</span><span class="p">[</span><span class="n">lp</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s">&#39;(&#39;</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">:</span> <span class="n">lp</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s">&#39;,&#39;</span><span class="p">)])</span>
-    <span class="n">vec</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="n">lp</span><span class="p">[</span><span class="n">lp</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s">&#39;[&#39;</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">:</span> <span class="n">lp</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s">&#39;]&#39;</span><span class="p">)]</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&#39;,&#39;</span><span class="p">))</span>
-    <span class="k">return</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="n">label</span><span class="p">,</span> <span class="n">vec</span><span class="p">)</span>
+    <p><span class="k">def</span> <span class="nf">parse</span><span class="p">(</span><span class="n">lp</span><span class="p">):</span>
+    <span class="n">label</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">lp</span><span class="p">[</span><span class="n">lp</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s1">&#39;(&#39;</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">:</span> <span class="n">lp</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s1">&#39;,&#39;</span><span class="p">)])</span>
+    <span class="n">vec</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">(</span><span class="n">lp</span><span class="p">[</span><span class="n">lp</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s1">&#39;[&#39;</span><span class="p">)</span> <span class="o">+</span> <span class="mi">1</span><span class="p">:</span> <span class="n">lp</span><span class="o">.</span><span class="n">find</span><span class="p">(</span><span class="s1">&#39;]&#39;</span><span class="p">)]</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s1">&#39;,&#39;</span><span class="p">))</span>
+    <span class="k">return</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="n">label</span><span class="p">,</span> <span class="n">vec</span><span class="p">)</span></p>
 
-<span class="n">trainingData</span> <span class="o">=</span> <span class="n">ssc</span><span class="o">.</span><span class="n">textFileStream</span><span class="p">(</span><span class="n">sys</span><span class="o">.</span><span class="n">argv</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">parse</span><span class="p">)</span><span class="o">.</span><span class="n">cache</span><span class="p">()</span>
-<span class="n">testData</span> <span class="o">=</span> <span class="n">ssc</span><span class="o">.</span><span class="n">textFileStream</span><span class="p">(</span><span class="n">sys</span><span class="o">.</span><span class="n">argv</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">parse</span><span class="p">)</span>
+    <p><span class="n">trainingData</span> <span class="o">=</span> <span class="n">ssc</span><span class="o">.</span><span class="n">textFileStream</span><span class="p">(</span><span class="n">sys</span><span class="o">.</span><span class="n">argv</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">parse</span><span class="p">)</span><span class="o">.</span><span class="n">cache</span><span class="p">()</span>
+<span class="n">testData</span> <span class="o">=</span> <span class="n">ssc</span><span class="o">.</span><span class="n">textFileStream</span><span class="p">(</span><span class="n">sys</span><span class="o">.</span><span class="n">argv</span><span class="p">[</span><span class="mi">2</span><span class="p">])</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="n">parse</span><span class="p">)</span></p>
 
-<span class="n">numFeatures</span> <span class="o">=</span> <span class="mi">3</span>
+    <p><span class="n">numFeatures</span> <span class="o">=</span> <span class="mi">3</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">StreamingLinearRegressionWithSGD</span><span class="p">()</span>
-<span class="n">model</span><span class="o">.</span><span class="n">setInitialWeights</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">])</span>
+<span class="n">model</span><span class="o">.</span><span class="n">setInitialWeights</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">])</span></p>
 
-<span class="n">model</span><span class="o">.</span><span class="n">trainOn</span><span class="p">(</span><span class="n">trainingData</span><span class="p">)</span>
-<span class="k">print</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">predictOnValues</span><span class="p">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">lp</span><span class="p">:</span> <span class="p">(</span><span class="n">lp</span><span class="o">.</span><span class="n">label</span><span class="p">,</span> <span class="n">lp</span><span class="o">.</span><span class="n">features</span><span class="p">))))</span>
+    <p><span class="n">model</span><span class="o">.</span><span class="n">trainOn</span><span class="p">(</span><span class="n">trainingData</span><span class="p">)</span>
+<span class="k">print</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">predictOnValues</span><span class="p">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">lp</span><span class="p">:</span> <span class="p">(</span><span class="n">lp</span><span class="o">.</span><span class="n">label</span><span class="p">,</span> <span class="n">lp</span><span class="o">.</span><span class="n">features</span><span class="p">))))</span></p>
 
-<span class="n">ssc</span><span class="o">.</span><span class="n">start</span><span class="p">()</span>
+    <p><span class="n">ssc</span><span class="o">.</span><span class="n">start</span><span class="p">()</span>
 <span class="n">ssc</span><span class="o">.</span><span class="n">awaitTermination</span><span class="p">()</span>
-</pre></div>
-    <div><small>Find full example code at "examples/src/main/python/mllib/streaming_linear_regression_example.py" in the Spark repo.</small></div>
+&lt;/pre&gt;&lt;/div&gt;&lt;div&gt;<small>Find full example code at &#8220;examples/src/main/python/mllib/streaming_linear_regression_example.py&#8221; in the Spark repo.</small>&lt;/div&gt;</p>
 
   </div>
 

http://git-wip-us.apache.org/repos/asf/spark-website/blob/d2bcf185/site/docs/2.1.0/mllib-naive-bayes.html
----------------------------------------------------------------------
diff --git a/site/docs/2.1.0/mllib-naive-bayes.html b/site/docs/2.1.0/mllib-naive-bayes.html
index c21dd83..d843987 100644
--- a/site/docs/2.1.0/mllib-naive-bayes.html
+++ b/site/docs/2.1.0/mllib-naive-bayes.html
@@ -342,7 +342,7 @@ can be used for evaluation and prediction.</p>
 
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.classification.NaiveBayes"><code>NaiveBayes</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.classification.NaiveBayesModel"><code>NaiveBayesModel</code> Scala docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.</span><span class="o">{</span><span class="nc">NaiveBayes</span><span class="o">,</span> <span class="nc">NaiveBayesModel</span><span class="o">}</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.</span><span class="o">{</span><span class="nc">NaiveBayes</span><span class="o">,</span> <span class="nc">NaiveBayesModel</span><span class="o">}</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
 
 <span class="c1">// Load and parse the data file.</span>
@@ -373,7 +373,7 @@ can be used for evaluation and prediction.</p>
 
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/classification/NaiveBayes.html"><code>NaiveBayes</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/classification/NaiveBayesModel.html"><code>NaiveBayesModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.function.Function</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.function.PairFunction</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.api.java.JavaPairRDD</span><span class="o">;</span>
@@ -423,33 +423,33 @@ used for evaluation and prediction.</p>
 
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.classification.NaiveBayes"><code>NaiveBayes</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.classification.NaiveBayesModel"><code>NaiveBayesModel</code> Python docs</a> for more details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">from</span> <span class="nn">pyspark.mllib.classification</span> <span class="kn">import</span> <span class="n">NaiveBayes</span><span class="p">,</span> <span class="n">NaiveBayesModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.classification</span> <span class="kn">import</span> <span class="n">NaiveBayes</span><span class="p">,</span> <span class="n">NaiveBayesModel</span>
 <span class="kn">from</span> <span class="nn">pyspark.mllib.util</span> <span class="kn">import</span> <span class="n">MLUtils</span>
 
 
 
-<span class="c"># Load and parse the data file.</span>
-<span class="n">data</span> <span class="o">=</span> <span class="n">MLUtils</span><span class="o">.</span><span class="n">loadLibSVMFile</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s">&quot;data/mllib/sample_libsvm_data.txt&quot;</span><span class="p">)</span>
+<span class="c1"># Load and parse the data file.</span>
+<span class="n">data</span> <span class="o">=</span> <span class="n">MLUtils</span><span class="o">.</span><span class="n">loadLibSVMFile</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s2">&quot;data/mllib/sample_libsvm_data.txt&quot;</span><span class="p">)</span>
 
-<span class="c"># Split data approximately into training (60%) and test (40%)</span>
+<span class="c1"># Split data approximately into training (60%) and test (40%)</span>
 <span class="n">training</span><span class="p">,</span> <span class="n">test</span> <span class="o">=</span> <span class="n">data</span><span class="o">.</span><span class="n">randomSplit</span><span class="p">([</span><span class="mf">0.6</span><span class="p">,</span> <span class="mf">0.4</span><span class="p">])</span>
 
-<span class="c"># Train a naive Bayes model.</span>
+<span class="c1"># Train a naive Bayes model.</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">NaiveBayes</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">training</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)</span>
 
-<span class="c"># Make prediction and test accuracy.</span>
+<span class="c1"># Make prediction and test accuracy.</span>
 <span class="n">predictionAndLabel</span> <span class="o">=</span> <span class="n">test</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">p</span><span class="p">:</span> <span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">p</span><span class="o">.</span><span class="n">features</span><span class="p">),</span> <span class="n">p</span><span class="o">.</span><span class="n">label</span><span class="p">))</span>
 <span class="n">accuracy</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">*</span> <span class="n">predictionAndLabel</span><span class="o">.</span><span class="n">filter</span><span class="p">(</span><span class="k">lambda</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">v</span><span class="p">):</span> <span class="n">x</span> <span class="o">==</span> <span class="n">v</span><span class="p">)</span><span class="o">.</span><span class="n">count</span><span class="p">()</span> <span class="o">/</span> <span class="n">test</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&#39;model accuracy {}&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">accuracy</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;model accuracy {}&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">accuracy</span><span class="p">))</span>
 
-<span class="c"># Save and load model</span>
-<span class="n">output_dir</span> <span class="o">=</span> <span class="s">&#39;target/tmp/myNaiveBayesModel&#39;</span>
+<span class="c1"># Save and load model</span>
+<span class="n">output_dir</span> <span class="o">=</span> <span class="s1">&#39;target/tmp/myNaiveBayesModel&#39;</span>
 <span class="n">shutil</span><span class="o">.</span><span class="n">rmtree</span><span class="p">(</span><span class="n">output_dir</span><span class="p">,</span> <span class="n">ignore_errors</span><span class="o">=</span><span class="bp">True</span><span class="p">)</span>
 <span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">output_dir</span><span class="p">)</span>
 <span class="n">sameModel</span> <span class="o">=</span> <span class="n">NaiveBayesModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="n">output_dir</span><span class="p">)</span>
 <span class="n">predictionAndLabel</span> <span class="o">=</span> <span class="n">test</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">p</span><span class="p">:</span> <span class="p">(</span><span class="n">sameModel</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">p</span><span class="o">.</span><span class="n">features</span><span class="p">),</span> <span class="n">p</span><span class="o">.</span><span class="n">label</span><span class="p">))</span>
 <span class="n">accuracy</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">*</span> <span class="n">predictionAndLabel</span><span class="o">.</span><span class="n">filter</span><span class="p">(</span><span class="k">lambda</span> <span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">v</span><span class="p">):</span> <span class="n">x</span> <span class="o">==</span> <span class="n">v</span><span class="p">)</span><span class="o">.</span><span class="n">count</span><span class="p">()</span> <span class="o">/</span> <span class="n">test</span><span class="o">.</span><span class="n">count</span><span class="p">()</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&#39;sameModel accuracy {}&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">accuracy</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;sameModel accuracy {}&#39;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">accuracy</span><span class="p">))</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/naive_bayes_example.py" in the Spark repo.</small></div>
   </div>

http://git-wip-us.apache.org/repos/asf/spark-website/blob/d2bcf185/site/docs/2.1.0/mllib-optimization.html
----------------------------------------------------------------------
diff --git a/site/docs/2.1.0/mllib-optimization.html b/site/docs/2.1.0/mllib-optimization.html
index 0c32f6e..74dbeba 100644
--- a/site/docs/2.1.0/mllib-optimization.html
+++ b/site/docs/2.1.0/mllib-optimization.html
@@ -331,20 +331,20 @@
                     
 
                     <ul id="markdown-toc">
-  <li><a href="#mathematical-description" id="markdown-toc-mathematical-description">Mathematical description</a>    <ul>
-      <li><a href="#gradient-descent" id="markdown-toc-gradient-descent">Gradient descent</a></li>
-      <li><a href="#stochastic-gradient-descent-sgd" id="markdown-toc-stochastic-gradient-descent-sgd">Stochastic gradient descent (SGD)</a></li>
-      <li><a href="#update-schemes-for-distributed-sgd" id="markdown-toc-update-schemes-for-distributed-sgd">Update schemes for distributed SGD</a></li>
-      <li><a href="#limited-memory-bfgs-l-bfgs" id="markdown-toc-limited-memory-bfgs-l-bfgs">Limited-memory BFGS (L-BFGS)</a></li>
-      <li><a href="#choosing-an-optimization-method" id="markdown-toc-choosing-an-optimization-method">Choosing an Optimization Method</a></li>
+  <li><a href="#mathematical-description">Mathematical description</a>    <ul>
+      <li><a href="#gradient-descent">Gradient descent</a></li>
+      <li><a href="#stochastic-gradient-descent-sgd">Stochastic gradient descent (SGD)</a></li>
+      <li><a href="#update-schemes-for-distributed-sgd">Update schemes for distributed SGD</a></li>
+      <li><a href="#limited-memory-bfgs-l-bfgs">Limited-memory BFGS (L-BFGS)</a></li>
+      <li><a href="#choosing-an-optimization-method">Choosing an Optimization Method</a></li>
     </ul>
   </li>
-  <li><a href="#implementation-in-mllib" id="markdown-toc-implementation-in-mllib">Implementation in MLlib</a>    <ul>
-      <li><a href="#gradient-descent-and-stochastic-gradient-descent" id="markdown-toc-gradient-descent-and-stochastic-gradient-descent">Gradient descent and stochastic gradient descent</a></li>
-      <li><a href="#l-bfgs" id="markdown-toc-l-bfgs">L-BFGS</a></li>
+  <li><a href="#implementation-in-mllib">Implementation in MLlib</a>    <ul>
+      <li><a href="#gradient-descent-and-stochastic-gradient-descent">Gradient descent and stochastic gradient descent</a></li>
+      <li><a href="#l-bfgs">L-BFGS</a></li>
     </ul>
   </li>
-  <li><a href="#developers-notes" id="markdown-toc-developers-notes">Developer&#8217;s notes</a></li>
+  <li><a href="#developers-notes">Developer&#8217;s notes</a></li>
 </ul>
 
 <p><code>\[
@@ -471,7 +471,7 @@ quadratic without evaluating the second partial derivatives of the objective fun
 Hessian matrix. The Hessian matrix is approximated by previous gradient evaluations, so there is no 
 vertical scalability issue (the number of training features) when computing the Hessian matrix 
 explicitly in Newton&#8217;s method. As a result, L-BFGS often achieves rapider convergence compared with 
-other first-order optimization.</p>
+other first-order optimization. </p>
 
 <h3 id="choosing-an-optimization-method">Choosing an Optimization Method</h3>
 
@@ -497,7 +497,7 @@ sets the following parameters:</p>
 being optimized, i.e., with respect to a single training example, at the
 current parameter value. MLlib includes gradient classes for common loss
 functions, e.g., hinge, logistic, least-squares.  The gradient class takes as
-input a training example, its label, and the current parameter value.</li>
+input a training example, its label, and the current parameter value. </li>
   <li><code>Updater</code> is a class that performs the actual gradient descent step, i.e. 
 updating the weights in each iteration, for a given gradient of the loss part.
 The updater is also responsible to perform the update from the regularization 
@@ -505,7 +505,7 @@ part. MLlib includes updaters for cases without regularization, as well as
 L1 and L2 regularizers.</li>
   <li><code>stepSize</code> is a scalar value denoting the initial step size for gradient
 descent. All updaters in MLlib use a step size at the t-th step equal to
-<code>stepSize $/ \sqrt{t}$</code>.</li>
+<code>stepSize $/ \sqrt{t}$</code>. </li>
   <li><code>numIterations</code> is the number of iterations to run.</li>
   <li><code>regParam</code> is the regularization parameter when using L1 or L2 regularization.</li>
   <li><code>miniBatchFraction</code> is the fraction of the total data that is sampled in 
@@ -521,7 +521,7 @@ each iteration, to compute the gradient direction.
 ML algorithms such as Linear Regression, and Logistic Regression, you have to pass the gradient of objective
 function, and updater into optimizer yourself instead of using the training APIs like 
 <a href="api/scala/index.html#org.apache.spark.mllib.classification.LogisticRegressionWithSGD">LogisticRegressionWithSGD</a>.
-See the example below. It will be addressed in the next release.</p>
+See the example below. It will be addressed in the next release. </p>
 
 <p>The L1 regularization by using 
 <a href="api/scala/index.html#org.apache.spark.mllib.optimization.L1Updater">L1Updater</a> will not work since the 
@@ -536,10 +536,10 @@ has the following parameters:</p>
 being optimized, i.e., with respect to a single training example, at the
 current parameter value. MLlib includes gradient classes for common loss
 functions, e.g., hinge, logistic, least-squares.  The gradient class takes as
-input a training example, its label, and the current parameter value.</li>
+input a training example, its label, and the current parameter value. </li>
   <li><code>Updater</code> is a class that computes the gradient and loss of objective function 
 of the regularization part for L-BFGS. MLlib includes updaters for cases without 
-regularization, as well as L2 regularizer.</li>
+regularization, as well as L2 regularizer. </li>
   <li><code>numCorrections</code> is the number of corrections used in the L-BFGS update. 10 is 
 recommended.</li>
   <li><code>maxNumIterations</code> is the maximal number of iterations that L-BFGS can be run.</li>
@@ -555,14 +555,14 @@ containing weights for every feature, and the second element is an array contain
 the loss computed for every iteration.</p>
 
 <p>Here is an example to train binary logistic regression with L2 regularization using
-L-BFGS optimizer.</p>
+L-BFGS optimizer. </p>
 
 <div class="codetabs">
 
 <div data-lang="scala">
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.optimization.LBFGS"><code>LBFGS</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.optimization.SquaredL2Updater"><code>SquaredL2Updater</code> Scala docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.LogisticRegressionModel</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.LogisticRegressionModel</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.evaluation.BinaryClassificationMetrics</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.optimization.</span><span class="o">{</span><span class="nc">LBFGS</span><span class="o">,</span> <span class="nc">LogisticGradient</span><span class="o">,</span> <span class="nc">SquaredL2Updater</span><span class="o">}</span>
@@ -623,7 +623,7 @@ L-BFGS optimizer.</p>
 <div data-lang="java">
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/optimization/LBFGS.html"><code>LBFGS</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/optimization/SquaredL2Updater.html"><code>SquaredL2Updater</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.Arrays</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.Arrays</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
 
@@ -658,15 +658,15 @@ L-BFGS optimizer.</p>
 
 <span class="c1">// Run training algorithm to build the model.</span>
 <span class="kt">int</span> <span class="n">numCorrections</span> <span class="o">=</span> <span class="mi">10</span><span class="o">;</span>
-<span class="kt">double</span> <span class="n">convergenceTol</span> <span class="o">=</span> <span class="mi">1</span><span class="n">e</span><span class="o">-</span><span class="mi">4</span><span class="o">;</span>
+<span class="kt">double</span> <span class="n">convergenceTol</span> <span class="o">=</span> <span class="mf">1e-4</span><span class="o">;</span>
 <span class="kt">int</span> <span class="n">maxNumIterations</span> <span class="o">=</span> <span class="mi">20</span><span class="o">;</span>
 <span class="kt">double</span> <span class="n">regParam</span> <span class="o">=</span> <span class="mf">0.1</span><span class="o">;</span>
 <span class="n">Vector</span> <span class="n">initialWeightsWithIntercept</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="na">dense</span><span class="o">(</span><span class="k">new</span> <span class="kt">double</span><span class="o">[</span><span class="n">numFeatures</span> <span class="o">+</span> <span class="mi">1</span><span class="o">]);</span>
 
 <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Vector</span><span class="o">,</span> <span class="kt">double</span><span class="o">[]&gt;</span> <span class="n">result</span> <span class="o">=</span> <span class="n">LBFGS</span><span class="o">.</span><span class="na">runLBFGS</span><span class="o">(</span>
   <span class="n">training</span><span class="o">.</span><span class="na">rdd</span><span class="o">(),</span>
-  <span class="k">new</span> <span class="nf">LogisticGradient</span><span class="o">(),</span>
-  <span class="k">new</span> <span class="nf">SquaredL2Updater</span><span class="o">(),</span>
+  <span class="k">new</span> <span class="n">LogisticGradient</span><span class="o">(),</span>
+  <span class="k">new</span> <span class="n">SquaredL2Updater</span><span class="o">(),</span>
   <span class="n">numCorrections</span><span class="o">,</span>
   <span class="n">convergenceTol</span><span class="o">,</span>
   <span class="n">maxNumIterations</span><span class="o">,</span>
@@ -675,7 +675,7 @@ L-BFGS optimizer.</p>
 <span class="n">Vector</span> <span class="n">weightsWithIntercept</span> <span class="o">=</span> <span class="n">result</span><span class="o">.</span><span class="na">_1</span><span class="o">();</span>
 <span class="kt">double</span><span class="o">[]</span> <span class="n">loss</span> <span class="o">=</span> <span class="n">result</span><span class="o">.</span><span class="na">_2</span><span class="o">();</span>
 
-<span class="kd">final</span> <span class="n">LogisticRegressionModel</span> <span class="n">model</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">LogisticRegressionModel</span><span class="o">(</span>
+<span class="kd">final</span> <span class="n">LogisticRegressionModel</span> <span class="n">model</span> <span class="o">=</span> <span class="k">new</span> <span class="n">LogisticRegressionModel</span><span class="o">(</span>
   <span class="n">Vectors</span><span class="o">.</span><span class="na">dense</span><span class="o">(</span><span class="n">Arrays</span><span class="o">.</span><span class="na">copyOf</span><span class="o">(</span><span class="n">weightsWithIntercept</span><span class="o">.</span><span class="na">toArray</span><span class="o">(),</span> <span class="n">weightsWithIntercept</span><span class="o">.</span><span class="na">size</span><span class="o">()</span> <span class="o">-</span> <span class="mi">1</span><span class="o">)),</span>
   <span class="o">(</span><span class="n">weightsWithIntercept</span><span class="o">.</span><span class="na">toArray</span><span class="o">())[</span><span class="n">weightsWithIntercept</span><span class="o">.</span><span class="na">size</span><span class="o">()</span> <span class="o">-</span> <span class="mi">1</span><span class="o">]);</span>
 
@@ -693,7 +693,7 @@ L-BFGS optimizer.</p>
 
 <span class="c1">// Get evaluation metrics.</span>
 <span class="n">BinaryClassificationMetrics</span> <span class="n">metrics</span> <span class="o">=</span>
-  <span class="k">new</span> <span class="nf">BinaryClassificationMetrics</span><span class="o">(</span><span class="n">scoreAndLabels</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
+  <span class="k">new</span> <span class="n">BinaryClassificationMetrics</span><span class="o">(</span><span class="n">scoreAndLabels</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
 <span class="kt">double</span> <span class="n">auROC</span> <span class="o">=</span> <span class="n">metrics</span><span class="o">.</span><span class="na">areaUnderROC</span><span class="o">();</span>
 
 <span class="n">System</span><span class="o">.</span><span class="na">out</span><span class="o">.</span><span class="na">println</span><span class="o">(</span><span class="s">&quot;Loss of each step in training process&quot;</span><span class="o">);</span>
@@ -717,7 +717,7 @@ the actual gradient descent step. However, we&#8217;re able to take the gradient
 loss of objective function of regularization for L-BFGS by ignoring the part of logic
 only for gradient decent such as adaptive step size stuff. We will refactorize
 this into regularizer to replace updater to separate the logic between 
-regularization and step update later.</p>
+regularization and step update later. </p>
 
 
                 </div>


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