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Posted to commits@spark.apache.org by yh...@apache.org on 2016/12/28 22:35:25 UTC

[14/25] 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-decision-tree.html
----------------------------------------------------------------------
diff --git a/site/docs/2.1.0/mllib-decision-tree.html b/site/docs/2.1.0/mllib-decision-tree.html
index 1a3d865..991610e 100644
--- a/site/docs/2.1.0/mllib-decision-tree.html
+++ b/site/docs/2.1.0/mllib-decision-tree.html
@@ -307,23 +307,23 @@
                     
 
                     <ul id="markdown-toc">
-  <li><a href="#basic-algorithm" id="markdown-toc-basic-algorithm">Basic algorithm</a>    <ul>
-      <li><a href="#node-impurity-and-information-gain" id="markdown-toc-node-impurity-and-information-gain">Node impurity and information gain</a></li>
-      <li><a href="#split-candidates" id="markdown-toc-split-candidates">Split candidates</a></li>
-      <li><a href="#stopping-rule" id="markdown-toc-stopping-rule">Stopping rule</a></li>
+  <li><a href="#basic-algorithm">Basic algorithm</a>    <ul>
+      <li><a href="#node-impurity-and-information-gain">Node impurity and information gain</a></li>
+      <li><a href="#split-candidates">Split candidates</a></li>
+      <li><a href="#stopping-rule">Stopping rule</a></li>
     </ul>
   </li>
-  <li><a href="#usage-tips" id="markdown-toc-usage-tips">Usage tips</a>    <ul>
-      <li><a href="#problem-specification-parameters" id="markdown-toc-problem-specification-parameters">Problem specification parameters</a></li>
-      <li><a href="#stopping-criteria" id="markdown-toc-stopping-criteria">Stopping criteria</a></li>
-      <li><a href="#tunable-parameters" id="markdown-toc-tunable-parameters">Tunable parameters</a></li>
-      <li><a href="#caching-and-checkpointing" id="markdown-toc-caching-and-checkpointing">Caching and checkpointing</a></li>
+  <li><a href="#usage-tips">Usage tips</a>    <ul>
+      <li><a href="#problem-specification-parameters">Problem specification parameters</a></li>
+      <li><a href="#stopping-criteria">Stopping criteria</a></li>
+      <li><a href="#tunable-parameters">Tunable parameters</a></li>
+      <li><a href="#caching-and-checkpointing">Caching and checkpointing</a></li>
     </ul>
   </li>
-  <li><a href="#scaling" id="markdown-toc-scaling">Scaling</a></li>
-  <li><a href="#examples" id="markdown-toc-examples">Examples</a>    <ul>
-      <li><a href="#classification" id="markdown-toc-classification">Classification</a></li>
-      <li><a href="#regression" id="markdown-toc-regression">Regression</a></li>
+  <li><a href="#scaling">Scaling</a></li>
+  <li><a href="#examples">Examples</a>    <ul>
+      <li><a href="#classification">Classification</a></li>
+      <li><a href="#regression">Regression</a></li>
     </ul>
   </li>
 </ul>
@@ -548,7 +548,7 @@ maximum tree depth of 5. The test error is calculated to measure the algorithm a
 <div data-lang="scala">
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.tree.DecisionTree"><code>DecisionTree</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.tree.model.DecisionTreeModel"><code>DecisionTreeModel</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.tree.DecisionTree</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.DecisionTree</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.model.DecisionTreeModel</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
 
@@ -588,7 +588,7 @@ maximum tree depth of 5. The test error is calculated to measure the algorithm a
 <div data-lang="java">
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/tree/DecisionTree.html"><code>DecisionTree</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/tree/model/DecisionTreeModel.html"><code>DecisionTreeModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">java.util.Map</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
@@ -604,8 +604,8 @@ maximum tree depth of 5. The test error is calculated to measure the algorithm a
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.tree.model.DecisionTreeModel</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span><span class="o">;</span>
 
-<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaDecisionTreeClassificationExample&quot;</span><span class="o">);</span>
-<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
+<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="n">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaDecisionTreeClassificationExample&quot;</span><span class="o">);</span>
+<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="n">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
 
 <span class="c1">// Load and parse the data file.</span>
 <span class="n">String</span> <span class="n">datapath</span> <span class="o">=</span> <span class="s">&quot;data/mllib/sample_libsvm_data.txt&quot;</span><span class="o">;</span>
@@ -657,30 +657,30 @@ maximum tree depth of 5. The test error is calculated to measure the algorithm a
 <div data-lang="python">
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.DecisionTree"><code>DecisionTree</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.DecisionTreeModel"><code>DecisionTreeModel</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.tree</span> <span class="kn">import</span> <span class="n">DecisionTree</span><span class="p">,</span> <span class="n">DecisionTreeModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">DecisionTree</span><span class="p">,</span> <span class="n">DecisionTreeModel</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 into an RDD of LabeledPoint.</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">&#39;data/mllib/sample_libsvm_data.txt&#39;</span><span class="p">)</span>
-<span class="c"># Split the data into training and test sets (30% held out for testing)</span>
+<span class="c1"># Load and parse the data file into an RDD of LabeledPoint.</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="s1">&#39;data/mllib/sample_libsvm_data.txt&#39;</span><span class="p">)</span>
+<span class="c1"># Split the data into training and test sets (30% held out for testing)</span>
 <span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">testData</span><span class="p">)</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">0.7</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">])</span>
 
-<span class="c"># Train a DecisionTree model.</span>
-<span class="c">#  Empty categoricalFeaturesInfo indicates all features are continuous.</span>
+<span class="c1"># Train a DecisionTree model.</span>
+<span class="c1">#  Empty categoricalFeaturesInfo indicates all features are continuous.</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">DecisionTree</span><span class="o">.</span><span class="n">trainClassifier</span><span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">numClasses</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">categoricalFeaturesInfo</span><span class="o">=</span><span class="p">{},</span>
-                                     <span class="n">impurity</span><span class="o">=</span><span class="s">&#39;gini&#39;</span><span class="p">,</span> <span class="n">maxDepth</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">maxBins</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
+                                     <span class="n">impurity</span><span class="o">=</span><span class="s1">&#39;gini&#39;</span><span class="p">,</span> <span class="n">maxDepth</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">maxBins</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
 
-<span class="c"># Evaluate model on test instances and compute test error</span>
+<span class="c1"># Evaluate model on test instances and compute test error</span>
 <span class="n">predictions</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">features</span><span class="p">))</span>
 <span class="n">labelsAndPredictions</span> <span class="o">=</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="n">lp</span><span class="o">.</span><span class="n">label</span><span class="p">)</span><span class="o">.</span><span class="n">zip</span><span class="p">(</span><span class="n">predictions</span><span class="p">)</span>
 <span class="n">testErr</span> <span class="o">=</span> <span class="n">labelsAndPredictions</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">testData</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;Test Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testErr</span><span class="p">))</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&#39;Learned classification tree model:&#39;</span><span class="p">)</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Test Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testErr</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Learned classification tree model:&#39;</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">toDebugString</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/myDecisionTreeClassificationModel&quot;</span><span class="p">)</span>
-<span class="n">sameModel</span> <span class="o">=</span> <span class="n">DecisionTreeModel</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/myDecisionTreeClassificationModel&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/myDecisionTreeClassificationModel&quot;</span><span class="p">)</span>
+<span class="n">sameModel</span> <span class="o">=</span> <span class="n">DecisionTreeModel</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/myDecisionTreeClassificationModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/decision_tree_classification_example.py" in the Spark repo.</small></div>
   </div>
@@ -701,7 +701,7 @@ depth of 5. The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="scala">
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.tree.DecisionTree"><code>DecisionTree</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.tree.model.DecisionTreeModel"><code>DecisionTreeModel</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.tree.DecisionTree</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.DecisionTree</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.model.DecisionTreeModel</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
 
@@ -740,7 +740,7 @@ depth of 5. The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="java">
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/tree/DecisionTree.html"><code>DecisionTree</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/tree/model/DecisionTreeModel.html"><code>DecisionTreeModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">java.util.Map</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
@@ -757,8 +757,8 @@ depth of 5. The Mean Squared Error (MSE) is computed at the end to evaluate
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.tree.model.DecisionTreeModel</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span><span class="o">;</span>
 
-<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaDecisionTreeRegressionExample&quot;</span><span class="o">);</span>
-<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
+<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="n">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaDecisionTreeRegressionExample&quot;</span><span class="o">);</span>
+<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="n">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
 
 <span class="c1">// Load and parse the data file.</span>
 <span class="n">String</span> <span class="n">datapath</span> <span class="o">=</span> <span class="s">&quot;data/mllib/sample_libsvm_data.txt&quot;</span><span class="o">;</span>
@@ -814,31 +814,31 @@ depth of 5. The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="python">
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.DecisionTree"><code>DecisionTree</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.DecisionTreeModel"><code>DecisionTreeModel</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.tree</span> <span class="kn">import</span> <span class="n">DecisionTree</span><span class="p">,</span> <span class="n">DecisionTreeModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">DecisionTree</span><span class="p">,</span> <span class="n">DecisionTreeModel</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 into an RDD of LabeledPoint.</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">&#39;data/mllib/sample_libsvm_data.txt&#39;</span><span class="p">)</span>
-<span class="c"># Split the data into training and test sets (30% held out for testing)</span>
+<span class="c1"># Load and parse the data file into an RDD of LabeledPoint.</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="s1">&#39;data/mllib/sample_libsvm_data.txt&#39;</span><span class="p">)</span>
+<span class="c1"># Split the data into training and test sets (30% held out for testing)</span>
 <span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">testData</span><span class="p">)</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">0.7</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">])</span>
 
-<span class="c"># Train a DecisionTree model.</span>
-<span class="c">#  Empty categoricalFeaturesInfo indicates all features are continuous.</span>
+<span class="c1"># Train a DecisionTree model.</span>
+<span class="c1">#  Empty categoricalFeaturesInfo indicates all features are continuous.</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">DecisionTree</span><span class="o">.</span><span class="n">trainRegressor</span><span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">categoricalFeaturesInfo</span><span class="o">=</span><span class="p">{},</span>
-                                    <span class="n">impurity</span><span class="o">=</span><span class="s">&#39;variance&#39;</span><span class="p">,</span> <span class="n">maxDepth</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">maxBins</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
+                                    <span class="n">impurity</span><span class="o">=</span><span class="s1">&#39;variance&#39;</span><span class="p">,</span> <span class="n">maxDepth</span><span class="o">=</span><span class="mi">5</span><span class="p">,</span> <span class="n">maxBins</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
 
-<span class="c"># Evaluate model on test instances and compute test error</span>
+<span class="c1"># Evaluate model on test instances and compute test error</span>
 <span class="n">predictions</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">features</span><span class="p">))</span>
 <span class="n">labelsAndPredictions</span> <span class="o">=</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="n">lp</span><span class="o">.</span><span class="n">label</span><span class="p">)</span><span class="o">.</span><span class="n">zip</span><span class="p">(</span><span class="n">predictions</span><span class="p">)</span>
 <span class="n">testMSE</span> <span class="o">=</span> <span class="n">labelsAndPredictions</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="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">sum</span><span class="p">()</span> <span class="o">/</span>\
     <span class="nb">float</span><span class="p">(</span><span class="n">testData</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;Test Mean Squared Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testMSE</span><span class="p">))</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&#39;Learned regression tree model:&#39;</span><span class="p">)</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Test Mean Squared Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testMSE</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Learned regression tree model:&#39;</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">toDebugString</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/myDecisionTreeRegressionModel&quot;</span><span class="p">)</span>
-<span class="n">sameModel</span> <span class="o">=</span> <span class="n">DecisionTreeModel</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/myDecisionTreeRegressionModel&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/myDecisionTreeRegressionModel&quot;</span><span class="p">)</span>
+<span class="n">sameModel</span> <span class="o">=</span> <span class="n">DecisionTreeModel</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/myDecisionTreeRegressionModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/decision_tree_regression_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-dimensionality-reduction.html
----------------------------------------------------------------------
diff --git a/site/docs/2.1.0/mllib-dimensionality-reduction.html b/site/docs/2.1.0/mllib-dimensionality-reduction.html
index 239d2c1..0d67e32 100644
--- a/site/docs/2.1.0/mllib-dimensionality-reduction.html
+++ b/site/docs/2.1.0/mllib-dimensionality-reduction.html
@@ -331,12 +331,12 @@
                     
 
                     <ul id="markdown-toc">
-  <li><a href="#singular-value-decomposition-svd" id="markdown-toc-singular-value-decomposition-svd">Singular value decomposition (SVD)</a>    <ul>
-      <li><a href="#performance" id="markdown-toc-performance">Performance</a></li>
-      <li><a href="#svd-example" id="markdown-toc-svd-example">SVD Example</a></li>
+  <li><a href="#singular-value-decomposition-svd">Singular value decomposition (SVD)</a>    <ul>
+      <li><a href="#performance">Performance</a></li>
+      <li><a href="#svd-example">SVD Example</a></li>
     </ul>
   </li>
-  <li><a href="#principal-component-analysis-pca" id="markdown-toc-principal-component-analysis-pca">Principal component analysis (PCA)</a></li>
+  <li><a href="#principal-component-analysis-pca">Principal component analysis (PCA)</a></li>
 </ul>
 
 <p><a href="http://en.wikipedia.org/wiki/Dimensionality_reduction">Dimensionality reduction</a> is the process 
@@ -354,7 +354,7 @@ factorizes a matrix into three matrices: $U$, $\Sigma$, and $V$ such that</p>
 A = U \Sigma V^T,
 \]</code></p>
 
-<p>where</p>
+<p>where </p>
 
 <ul>
   <li>$U$ is an orthonormal matrix, whose columns are called left singular vectors,</li>
@@ -396,13 +396,13 @@ passes, $O(n)$ storage on each executor, and $O(n k)$ storage on the driver.</li
 <h3 id="svd-example">SVD Example</h3>
 
 <p><code>spark.mllib</code> provides SVD functionality to row-oriented matrices, provided in the
-<a href="mllib-data-types.html#rowmatrix">RowMatrix</a> class.</p>
+<a href="mllib-data-types.html#rowmatrix">RowMatrix</a> class. </p>
 
 <div class="codetabs">
 <div data-lang="scala">
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.linalg.SingularValueDecomposition"><code>SingularValueDecomposition</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.Matrix</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Matrix</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.SingularValueDecomposition</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vector</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
@@ -431,7 +431,7 @@ passes, $O(n)$ storage on each executor, and $O(n k)$ storage on the driver.</li
 <div data-lang="java">
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/linalg/SingularValueDecomposition.html"><code>SingularValueDecomposition</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.LinkedList</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.LinkedList</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.JavaSparkContext</span><span class="o">;</span>
@@ -450,10 +450,10 @@ passes, $O(n)$ storage on each executor, and $O(n k)$ storage on the driver.</li
 <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">Vector</span><span class="o">&gt;</span> <span class="n">rows</span> <span class="o">=</span> <span class="n">jsc</span><span class="o">.</span><span class="na">parallelize</span><span class="o">(</span><span class="n">rowsList</span><span class="o">);</span>
 
 <span class="c1">// Create a RowMatrix from JavaRDD&lt;Vector&gt;.</span>
-<span class="n">RowMatrix</span> <span class="n">mat</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">RowMatrix</span><span class="o">(</span><span class="n">rows</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
+<span class="n">RowMatrix</span> <span class="n">mat</span> <span class="o">=</span> <span class="k">new</span> <span class="n">RowMatrix</span><span class="o">(</span><span class="n">rows</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
 
 <span class="c1">// Compute the top 3 singular values and corresponding singular vectors.</span>
-<span class="n">SingularValueDecomposition</span><span class="o">&lt;</span><span class="n">RowMatrix</span><span class="o">,</span> <span class="n">Matrix</span><span class="o">&gt;</span> <span class="n">svd</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="na">computeSVD</span><span class="o">(</span><span class="mi">3</span><span class="o">,</span> <span class="kc">true</span><span class="o">,</span> <span class="mf">1.0</span><span class="n">E</span><span class="o">-</span><span class="mi">9</span><span class="n">d</span><span class="o">);</span>
+<span class="n">SingularValueDecomposition</span><span class="o">&lt;</span><span class="n">RowMatrix</span><span class="o">,</span> <span class="n">Matrix</span><span class="o">&gt;</span> <span class="n">svd</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="na">computeSVD</span><span class="o">(</span><span class="mi">3</span><span class="o">,</span> <span class="kc">true</span><span class="o">,</span> <span class="mf">1.0E-9d</span><span class="o">);</span>
 <span class="n">RowMatrix</span> <span class="n">U</span> <span class="o">=</span> <span class="n">svd</span><span class="o">.</span><span class="na">U</span><span class="o">();</span>
 <span class="n">Vector</span> <span class="n">s</span> <span class="o">=</span> <span class="n">svd</span><span class="o">.</span><span class="na">s</span><span class="o">();</span>
 <span class="n">Matrix</span> <span class="n">V</span> <span class="o">=</span> <span class="n">svd</span><span class="o">.</span><span class="na">V</span><span class="o">();</span>
@@ -489,7 +489,7 @@ and use them to project the vectors into a low-dimensional space.</p>
 
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.linalg.distributed.RowMatrix"><code>RowMatrix</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.Matrix</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Matrix</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.linalg.distributed.RowMatrix</span>
 
@@ -516,7 +516,7 @@ and use them to project the vectors into a low-dimensional space while keeping a
 
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.feature.PCA"><code>PCA</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.feature.PCA</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.feature.PCA</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.rdd.RDD</span>
@@ -547,7 +547,7 @@ The number of columns should be small, e.g, less than 1000.</p>
 
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/linalg/distributed/RowMatrix.html"><code>RowMatrix</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.LinkedList</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.LinkedList</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.JavaSparkContext</span><span class="o">;</span>
@@ -565,7 +565,7 @@ The number of columns should be small, e.g, less than 1000.</p>
 <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">Vector</span><span class="o">&gt;</span> <span class="n">rows</span> <span class="o">=</span> <span class="n">JavaSparkContext</span><span class="o">.</span><span class="na">fromSparkContext</span><span class="o">(</span><span class="n">sc</span><span class="o">).</span><span class="na">parallelize</span><span class="o">(</span><span class="n">rowsList</span><span class="o">);</span>
 
 <span class="c1">// Create a RowMatrix from JavaRDD&lt;Vector&gt;.</span>
-<span class="n">RowMatrix</span> <span class="n">mat</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">RowMatrix</span><span class="o">(</span><span class="n">rows</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
+<span class="n">RowMatrix</span> <span class="n">mat</span> <span class="o">=</span> <span class="k">new</span> <span class="n">RowMatrix</span><span class="o">(</span><span class="n">rows</span><span class="o">.</span><span class="na">rdd</span><span class="o">());</span>
 
 <span class="c1">// Compute the top 3 principal components.</span>
 <span class="n">Matrix</span> <span class="n">pc</span> <span class="o">=</span> <span class="n">mat</span><span class="o">.</span><span class="na">computePrincipalComponents</span><span class="o">(</span><span class="mi">3</span><span class="o">);</span>

http://git-wip-us.apache.org/repos/asf/spark-website/blob/d2bcf185/site/docs/2.1.0/mllib-ensembles.html
----------------------------------------------------------------------
diff --git a/site/docs/2.1.0/mllib-ensembles.html b/site/docs/2.1.0/mllib-ensembles.html
index ab17ce5..604c546 100644
--- a/site/docs/2.1.0/mllib-ensembles.html
+++ b/site/docs/2.1.0/mllib-ensembles.html
@@ -307,33 +307,33 @@
                     
 
                     <ul id="markdown-toc">
-  <li><a href="#gradient-boosted-trees-vs-random-forests" id="markdown-toc-gradient-boosted-trees-vs-random-forests">Gradient-Boosted Trees vs. Random Forests</a></li>
-  <li><a href="#random-forests" id="markdown-toc-random-forests">Random Forests</a>    <ul>
-      <li><a href="#basic-algorithm" id="markdown-toc-basic-algorithm">Basic algorithm</a>        <ul>
-          <li><a href="#training" id="markdown-toc-training">Training</a></li>
-          <li><a href="#prediction" id="markdown-toc-prediction">Prediction</a></li>
+  <li><a href="#gradient-boosted-trees-vs-random-forests">Gradient-Boosted Trees vs. Random Forests</a></li>
+  <li><a href="#random-forests">Random Forests</a>    <ul>
+      <li><a href="#basic-algorithm">Basic algorithm</a>        <ul>
+          <li><a href="#training">Training</a></li>
+          <li><a href="#prediction">Prediction</a></li>
         </ul>
       </li>
-      <li><a href="#usage-tips" id="markdown-toc-usage-tips">Usage tips</a></li>
-      <li><a href="#examples" id="markdown-toc-examples">Examples</a>        <ul>
-          <li><a href="#classification" id="markdown-toc-classification">Classification</a></li>
-          <li><a href="#regression" id="markdown-toc-regression">Regression</a></li>
+      <li><a href="#usage-tips">Usage tips</a></li>
+      <li><a href="#examples">Examples</a>        <ul>
+          <li><a href="#classification">Classification</a></li>
+          <li><a href="#regression">Regression</a></li>
         </ul>
       </li>
     </ul>
   </li>
-  <li><a href="#gradient-boosted-trees-gbts" id="markdown-toc-gradient-boosted-trees-gbts">Gradient-Boosted Trees (GBTs)</a>    <ul>
-      <li><a href="#basic-algorithm-1" id="markdown-toc-basic-algorithm-1">Basic algorithm</a>        <ul>
-          <li><a href="#losses" id="markdown-toc-losses">Losses</a></li>
+  <li><a href="#gradient-boosted-trees-gbts">Gradient-Boosted Trees (GBTs)</a>    <ul>
+      <li><a href="#basic-algorithm-1">Basic algorithm</a>        <ul>
+          <li><a href="#losses">Losses</a></li>
         </ul>
       </li>
-      <li><a href="#usage-tips-1" id="markdown-toc-usage-tips-1">Usage tips</a>        <ul>
-          <li><a href="#validation-while-training" id="markdown-toc-validation-while-training">Validation while training</a></li>
+      <li><a href="#usage-tips-1">Usage tips</a>        <ul>
+          <li><a href="#validation-while-training">Validation while training</a></li>
         </ul>
       </li>
-      <li><a href="#examples-1" id="markdown-toc-examples-1">Examples</a>        <ul>
-          <li><a href="#classification-1" id="markdown-toc-classification-1">Classification</a></li>
-          <li><a href="#regression-1" id="markdown-toc-regression-1">Regression</a></li>
+      <li><a href="#examples-1">Examples</a>        <ul>
+          <li><a href="#classification-1">Classification</a></li>
+          <li><a href="#regression-1">Regression</a></li>
         </ul>
       </li>
     </ul>
@@ -450,7 +450,7 @@ The test error is calculated to measure the algorithm accuracy.</p>
 <div data-lang="scala">
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.tree.RandomForest$"><code>RandomForest</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.tree.model.RandomForestModel"><code>RandomForestModel</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.tree.RandomForest</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.RandomForest</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.model.RandomForestModel</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
 
@@ -492,7 +492,7 @@ The test error is calculated to measure the algorithm accuracy.</p>
 <div data-lang="java">
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/tree/RandomForest.html"><code>RandomForest</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/tree/model/RandomForestModel.html"><code>RandomForestModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
 
@@ -507,8 +507,8 @@ The test error is calculated to measure the algorithm accuracy.</p>
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.tree.model.RandomForestModel</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span><span class="o">;</span>
 
-<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaRandomForestClassificationExample&quot;</span><span class="o">);</span>
-<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
+<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="n">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaRandomForestClassificationExample&quot;</span><span class="o">);</span>
+<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="n">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
 <span class="c1">// Load and parse the data file.</span>
 <span class="n">String</span> <span class="n">datapath</span> <span class="o">=</span> <span class="s">&quot;data/mllib/sample_libsvm_data.txt&quot;</span><span class="o">;</span>
 <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">LabeledPoint</span><span class="o">&gt;</span> <span class="n">data</span> <span class="o">=</span> <span class="n">MLUtils</span><span class="o">.</span><span class="na">loadLibSVMFile</span><span class="o">(</span><span class="n">jsc</span><span class="o">.</span><span class="na">sc</span><span class="o">(),</span> <span class="n">datapath</span><span class="o">).</span><span class="na">toJavaRDD</span><span class="o">();</span>
@@ -561,33 +561,33 @@ The test error is calculated to measure the algorithm accuracy.</p>
 <div data-lang="python">
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.RandomForest"><code>RandomForest</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.RandomForestModel"><code>RandomForest</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.tree</span> <span class="kn">import</span> <span class="n">RandomForest</span><span class="p">,</span> <span class="n">RandomForestModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">RandomForest</span><span class="p">,</span> <span class="n">RandomForestModel</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 into an RDD of LabeledPoint.</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">&#39;data/mllib/sample_libsvm_data.txt&#39;</span><span class="p">)</span>
-<span class="c"># Split the data into training and test sets (30% held out for testing)</span>
+<span class="c1"># Load and parse the data file into an RDD of LabeledPoint.</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="s1">&#39;data/mllib/sample_libsvm_data.txt&#39;</span><span class="p">)</span>
+<span class="c1"># Split the data into training and test sets (30% held out for testing)</span>
 <span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">testData</span><span class="p">)</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">0.7</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">])</span>
 
-<span class="c"># Train a RandomForest model.</span>
-<span class="c">#  Empty categoricalFeaturesInfo indicates all features are continuous.</span>
-<span class="c">#  Note: Use larger numTrees in practice.</span>
-<span class="c">#  Setting featureSubsetStrategy=&quot;auto&quot; lets the algorithm choose.</span>
+<span class="c1"># Train a RandomForest model.</span>
+<span class="c1">#  Empty categoricalFeaturesInfo indicates all features are continuous.</span>
+<span class="c1">#  Note: Use larger numTrees in practice.</span>
+<span class="c1">#  Setting featureSubsetStrategy=&quot;auto&quot; lets the algorithm choose.</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">RandomForest</span><span class="o">.</span><span class="n">trainClassifier</span><span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">numClasses</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">categoricalFeaturesInfo</span><span class="o">=</span><span class="p">{},</span>
-                                     <span class="n">numTrees</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">featureSubsetStrategy</span><span class="o">=</span><span class="s">&quot;auto&quot;</span><span class="p">,</span>
-                                     <span class="n">impurity</span><span class="o">=</span><span class="s">&#39;gini&#39;</span><span class="p">,</span> <span class="n">maxDepth</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="n">maxBins</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
+                                     <span class="n">numTrees</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">featureSubsetStrategy</span><span class="o">=</span><span class="s2">&quot;auto&quot;</span><span class="p">,</span>
+                                     <span class="n">impurity</span><span class="o">=</span><span class="s1">&#39;gini&#39;</span><span class="p">,</span> <span class="n">maxDepth</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="n">maxBins</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
 
-<span class="c"># Evaluate model on test instances and compute test error</span>
+<span class="c1"># Evaluate model on test instances and compute test error</span>
 <span class="n">predictions</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">features</span><span class="p">))</span>
 <span class="n">labelsAndPredictions</span> <span class="o">=</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="n">lp</span><span class="o">.</span><span class="n">label</span><span class="p">)</span><span class="o">.</span><span class="n">zip</span><span class="p">(</span><span class="n">predictions</span><span class="p">)</span>
 <span class="n">testErr</span> <span class="o">=</span> <span class="n">labelsAndPredictions</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">testData</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;Test Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testErr</span><span class="p">))</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&#39;Learned classification forest model:&#39;</span><span class="p">)</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Test Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testErr</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Learned classification forest model:&#39;</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">toDebugString</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/myRandomForestClassificationModel&quot;</span><span class="p">)</span>
-<span class="n">sameModel</span> <span class="o">=</span> <span class="n">RandomForestModel</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/myRandomForestClassificationModel&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/myRandomForestClassificationModel&quot;</span><span class="p">)</span>
+<span class="n">sameModel</span> <span class="o">=</span> <span class="n">RandomForestModel</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/myRandomForestClassificationModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/random_forest_classification_example.py" in the Spark repo.</small></div>
   </div>
@@ -608,7 +608,7 @@ The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="scala">
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.tree.RandomForest$"><code>RandomForest</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.tree.model.RandomForestModel"><code>RandomForestModel</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.tree.RandomForest</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.RandomForest</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.model.RandomForestModel</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
 
@@ -650,7 +650,7 @@ The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="java">
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/tree/RandomForest.html"><code>RandomForest</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/tree/model/RandomForestModel.html"><code>RandomForestModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">java.util.Map</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
@@ -667,8 +667,8 @@ The Mean Squared Error (MSE) is computed at the end to evaluate
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.SparkConf</span><span class="o">;</span>
 
-<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaRandomForestRegressionExample&quot;</span><span class="o">);</span>
-<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
+<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="n">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaRandomForestRegressionExample&quot;</span><span class="o">);</span>
+<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="n">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
 <span class="c1">// Load and parse the data file.</span>
 <span class="n">String</span> <span class="n">datapath</span> <span class="o">=</span> <span class="s">&quot;data/mllib/sample_libsvm_data.txt&quot;</span><span class="o">;</span>
 <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">LabeledPoint</span><span class="o">&gt;</span> <span class="n">data</span> <span class="o">=</span> <span class="n">MLUtils</span><span class="o">.</span><span class="na">loadLibSVMFile</span><span class="o">(</span><span class="n">jsc</span><span class="o">.</span><span class="na">sc</span><span class="o">(),</span> <span class="n">datapath</span><span class="o">).</span><span class="na">toJavaRDD</span><span class="o">();</span>
@@ -725,34 +725,34 @@ The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="python">
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.RandomForest"><code>RandomForest</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.RandomForestModel"><code>RandomForest</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.tree</span> <span class="kn">import</span> <span class="n">RandomForest</span><span class="p">,</span> <span class="n">RandomForestModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">RandomForest</span><span class="p">,</span> <span class="n">RandomForestModel</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 into an RDD of LabeledPoint.</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">&#39;data/mllib/sample_libsvm_data.txt&#39;</span><span class="p">)</span>
-<span class="c"># Split the data into training and test sets (30% held out for testing)</span>
+<span class="c1"># Load and parse the data file into an RDD of LabeledPoint.</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="s1">&#39;data/mllib/sample_libsvm_data.txt&#39;</span><span class="p">)</span>
+<span class="c1"># Split the data into training and test sets (30% held out for testing)</span>
 <span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">testData</span><span class="p">)</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">0.7</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">])</span>
 
-<span class="c"># Train a RandomForest model.</span>
-<span class="c">#  Empty categoricalFeaturesInfo indicates all features are continuous.</span>
-<span class="c">#  Note: Use larger numTrees in practice.</span>
-<span class="c">#  Setting featureSubsetStrategy=&quot;auto&quot; lets the algorithm choose.</span>
+<span class="c1"># Train a RandomForest model.</span>
+<span class="c1">#  Empty categoricalFeaturesInfo indicates all features are continuous.</span>
+<span class="c1">#  Note: Use larger numTrees in practice.</span>
+<span class="c1">#  Setting featureSubsetStrategy=&quot;auto&quot; lets the algorithm choose.</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">RandomForest</span><span class="o">.</span><span class="n">trainRegressor</span><span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">categoricalFeaturesInfo</span><span class="o">=</span><span class="p">{},</span>
-                                    <span class="n">numTrees</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">featureSubsetStrategy</span><span class="o">=</span><span class="s">&quot;auto&quot;</span><span class="p">,</span>
-                                    <span class="n">impurity</span><span class="o">=</span><span class="s">&#39;variance&#39;</span><span class="p">,</span> <span class="n">maxDepth</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="n">maxBins</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
+                                    <span class="n">numTrees</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">featureSubsetStrategy</span><span class="o">=</span><span class="s2">&quot;auto&quot;</span><span class="p">,</span>
+                                    <span class="n">impurity</span><span class="o">=</span><span class="s1">&#39;variance&#39;</span><span class="p">,</span> <span class="n">maxDepth</span><span class="o">=</span><span class="mi">4</span><span class="p">,</span> <span class="n">maxBins</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
 
-<span class="c"># Evaluate model on test instances and compute test error</span>
+<span class="c1"># Evaluate model on test instances and compute test error</span>
 <span class="n">predictions</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">features</span><span class="p">))</span>
 <span class="n">labelsAndPredictions</span> <span class="o">=</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="n">lp</span><span class="o">.</span><span class="n">label</span><span class="p">)</span><span class="o">.</span><span class="n">zip</span><span class="p">(</span><span class="n">predictions</span><span class="p">)</span>
 <span class="n">testMSE</span> <span class="o">=</span> <span class="n">labelsAndPredictions</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="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">sum</span><span class="p">()</span> <span class="o">/</span>\
     <span class="nb">float</span><span class="p">(</span><span class="n">testData</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;Test Mean Squared Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testMSE</span><span class="p">))</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&#39;Learned regression forest model:&#39;</span><span class="p">)</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Test Mean Squared Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testMSE</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Learned regression forest model:&#39;</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">toDebugString</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/myRandomForestRegressionModel&quot;</span><span class="p">)</span>
-<span class="n">sameModel</span> <span class="o">=</span> <span class="n">RandomForestModel</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/myRandomForestRegressionModel&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/myRandomForestRegressionModel&quot;</span><span class="p">)</span>
+<span class="n">sameModel</span> <span class="o">=</span> <span class="n">RandomForestModel</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/myRandomForestRegressionModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/random_forest_regression_example.py" in the Spark repo.</small></div>
   </div>
@@ -859,7 +859,7 @@ The test error is calculated to measure the algorithm accuracy.</p>
 <div data-lang="scala">
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.tree.GradientBoostedTrees"><code>GradientBoostedTrees</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.tree.model.GradientBoostedTreesModel"><code>GradientBoostedTreesModel</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.tree.GradientBoostedTrees</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.GradientBoostedTrees</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.configuration.BoostingStrategy</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.model.GradientBoostedTreesModel</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
@@ -901,7 +901,7 @@ The test error is calculated to measure the algorithm accuracy.</p>
 <div data-lang="java">
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/tree/GradientBoostedTrees.html"><code>GradientBoostedTrees</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/tree/model/GradientBoostedTreesModel.html"><code>GradientBoostedTreesModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">java.util.Map</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
@@ -918,9 +918,9 @@ The test error is calculated to measure the algorithm accuracy.</p>
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.tree.model.GradientBoostedTreesModel</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span><span class="o">;</span>
 
-<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">SparkConf</span><span class="o">()</span>
+<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="n">SparkConf</span><span class="o">()</span>
   <span class="o">.</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaGradientBoostedTreesClassificationExample&quot;</span><span class="o">);</span>
-<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
+<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="n">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
 
 <span class="c1">// Load and parse the data file.</span>
 <span class="n">String</span> <span class="n">datapath</span> <span class="o">=</span> <span class="s">&quot;data/mllib/sample_libsvm_data.txt&quot;</span><span class="o">;</span>
@@ -972,32 +972,32 @@ The test error is calculated to measure the algorithm accuracy.</p>
 <div data-lang="python">
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.GradientBoostedTrees"><code>GradientBoostedTrees</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.GradientBoostedTreesModel"><code>GradientBoostedTreesModel</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.tree</span> <span class="kn">import</span> <span class="n">GradientBoostedTrees</span><span class="p">,</span> <span class="n">GradientBoostedTreesModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">GradientBoostedTrees</span><span class="p">,</span> <span class="n">GradientBoostedTreesModel</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="c"># Split the data into training and test sets (30% held out for testing)</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="c1"># Split the data into training and test sets (30% held out for testing)</span>
 <span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">testData</span><span class="p">)</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">0.7</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">])</span>
 
-<span class="c"># Train a GradientBoostedTrees model.</span>
-<span class="c">#  Notes: (a) Empty categoricalFeaturesInfo indicates all features are continuous.</span>
-<span class="c">#         (b) Use more iterations in practice.</span>
+<span class="c1"># Train a GradientBoostedTrees model.</span>
+<span class="c1">#  Notes: (a) Empty categoricalFeaturesInfo indicates all features are continuous.</span>
+<span class="c1">#         (b) Use more iterations in practice.</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">GradientBoostedTrees</span><span class="o">.</span><span class="n">trainClassifier</span><span class="p">(</span><span class="n">trainingData</span><span class="p">,</span>
                                              <span class="n">categoricalFeaturesInfo</span><span class="o">=</span><span class="p">{},</span> <span class="n">numIterations</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
 
-<span class="c"># Evaluate model on test instances and compute test error</span>
+<span class="c1"># Evaluate model on test instances and compute test error</span>
 <span class="n">predictions</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">features</span><span class="p">))</span>
 <span class="n">labelsAndPredictions</span> <span class="o">=</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="n">lp</span><span class="o">.</span><span class="n">label</span><span class="p">)</span><span class="o">.</span><span class="n">zip</span><span class="p">(</span><span class="n">predictions</span><span class="p">)</span>
 <span class="n">testErr</span> <span class="o">=</span> <span class="n">labelsAndPredictions</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">testData</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;Test Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testErr</span><span class="p">))</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&#39;Learned classification GBT model:&#39;</span><span class="p">)</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Test Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testErr</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Learned classification GBT model:&#39;</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">toDebugString</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/myGradientBoostingClassificationModel&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/myGradientBoostingClassificationModel&quot;</span><span class="p">)</span>
 <span class="n">sameModel</span> <span class="o">=</span> <span class="n">GradientBoostedTreesModel</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/myGradientBoostingClassificationModel&quot;</span><span class="p">)</span>
+                                           <span class="s2">&quot;target/tmp/myGradientBoostingClassificationModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/gradient_boosting_classification_example.py" in the Spark repo.</small></div>
   </div>
@@ -1018,7 +1018,7 @@ The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="scala">
     <p>Refer to the <a href="api/scala/index.html#org.apache.spark.mllib.tree.GradientBoostedTrees"><code>GradientBoostedTrees</code> Scala docs</a> and <a href="api/scala/index.html#org.apache.spark.mllib.tree.model.GradientBoostedTreesModel"><code>GradientBoostedTreesModel</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.tree.GradientBoostedTrees</span>
+    <div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.GradientBoostedTrees</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.configuration.BoostingStrategy</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.tree.model.GradientBoostedTreesModel</span>
 <span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
@@ -1059,7 +1059,7 @@ The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="java">
     <p>Refer to the <a href="api/java/org/apache/spark/mllib/tree/GradientBoostedTrees.html"><code>GradientBoostedTrees</code> Java docs</a> and <a href="api/java/org/apache/spark/mllib/tree/model/GradientBoostedTreesModel.html"><code>GradientBoostedTreesModel</code> Java docs</a> for details on the API.</p>
 
-    <div class="highlight"><pre><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
+    <div class="highlight"><pre><span></span><span class="kn">import</span> <span class="nn">java.util.HashMap</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">java.util.Map</span><span class="o">;</span>
 
 <span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
@@ -1077,9 +1077,9 @@ The Mean Squared Error (MSE) is computed at the end to evaluate
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.tree.model.GradientBoostedTreesModel</span><span class="o">;</span>
 <span class="kn">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span><span class="o">;</span>
 
-<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">SparkConf</span><span class="o">()</span>
+<span class="n">SparkConf</span> <span class="n">sparkConf</span> <span class="o">=</span> <span class="k">new</span> <span class="n">SparkConf</span><span class="o">()</span>
   <span class="o">.</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;JavaGradientBoostedTreesRegressionExample&quot;</span><span class="o">);</span>
-<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
+<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="k">new</span> <span class="n">JavaSparkContext</span><span class="o">(</span><span class="n">sparkConf</span><span class="o">);</span>
 <span class="c1">// Load and parse the data file.</span>
 <span class="n">String</span> <span class="n">datapath</span> <span class="o">=</span> <span class="s">&quot;data/mllib/sample_libsvm_data.txt&quot;</span><span class="o">;</span>
 <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">LabeledPoint</span><span class="o">&gt;</span> <span class="n">data</span> <span class="o">=</span> <span class="n">MLUtils</span><span class="o">.</span><span class="na">loadLibSVMFile</span><span class="o">(</span><span class="n">jsc</span><span class="o">.</span><span class="na">sc</span><span class="o">(),</span> <span class="n">datapath</span><span class="o">).</span><span class="na">toJavaRDD</span><span class="o">();</span>
@@ -1135,32 +1135,32 @@ The Mean Squared Error (MSE) is computed at the end to evaluate
 <div data-lang="python">
     <p>Refer to the <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.GradientBoostedTrees"><code>GradientBoostedTrees</code> Python docs</a> and <a href="api/python/pyspark.mllib.html#pyspark.mllib.tree.GradientBoostedTreesModel"><code>GradientBoostedTreesModel</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.tree</span> <span class="kn">import</span> <span class="n">GradientBoostedTrees</span><span class="p">,</span> <span class="n">GradientBoostedTreesModel</span>
+    <div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">pyspark.mllib.tree</span> <span class="kn">import</span> <span class="n">GradientBoostedTrees</span><span class="p">,</span> <span class="n">GradientBoostedTreesModel</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="c"># Split the data into training and test sets (30% held out for testing)</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="c1"># Split the data into training and test sets (30% held out for testing)</span>
 <span class="p">(</span><span class="n">trainingData</span><span class="p">,</span> <span class="n">testData</span><span class="p">)</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">0.7</span><span class="p">,</span> <span class="mf">0.3</span><span class="p">])</span>
 
-<span class="c"># Train a GradientBoostedTrees model.</span>
-<span class="c">#  Notes: (a) Empty categoricalFeaturesInfo indicates all features are continuous.</span>
-<span class="c">#         (b) Use more iterations in practice.</span>
+<span class="c1"># Train a GradientBoostedTrees model.</span>
+<span class="c1">#  Notes: (a) Empty categoricalFeaturesInfo indicates all features are continuous.</span>
+<span class="c1">#         (b) Use more iterations in practice.</span>
 <span class="n">model</span> <span class="o">=</span> <span class="n">GradientBoostedTrees</span><span class="o">.</span><span class="n">trainRegressor</span><span class="p">(</span><span class="n">trainingData</span><span class="p">,</span>
                                             <span class="n">categoricalFeaturesInfo</span><span class="o">=</span><span class="p">{},</span> <span class="n">numIterations</span><span class="o">=</span><span class="mi">3</span><span class="p">)</span>
 
-<span class="c"># Evaluate model on test instances and compute test error</span>
+<span class="c1"># Evaluate model on test instances and compute test error</span>
 <span class="n">predictions</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">(</span><span class="n">testData</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">x</span><span class="p">:</span> <span class="n">x</span><span class="o">.</span><span class="n">features</span><span class="p">))</span>
 <span class="n">labelsAndPredictions</span> <span class="o">=</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="n">lp</span><span class="o">.</span><span class="n">label</span><span class="p">)</span><span class="o">.</span><span class="n">zip</span><span class="p">(</span><span class="n">predictions</span><span class="p">)</span>
 <span class="n">testMSE</span> <span class="o">=</span> <span class="n">labelsAndPredictions</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="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">sum</span><span class="p">()</span> <span class="o">/</span>\
     <span class="nb">float</span><span class="p">(</span><span class="n">testData</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;Test Mean Squared Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testMSE</span><span class="p">))</span>
-<span class="k">print</span><span class="p">(</span><span class="s">&#39;Learned regression GBT model:&#39;</span><span class="p">)</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Test Mean Squared Error = &#39;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">testMSE</span><span class="p">))</span>
+<span class="k">print</span><span class="p">(</span><span class="s1">&#39;Learned regression GBT model:&#39;</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">toDebugString</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/myGradientBoostingRegressionModel&quot;</span><span class="p">)</span>
-<span class="n">sameModel</span> <span class="o">=</span> <span class="n">GradientBoostedTreesModel</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/myGradientBoostingRegressionModel&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/myGradientBoostingRegressionModel&quot;</span><span class="p">)</span>
+<span class="n">sameModel</span> <span class="o">=</span> <span class="n">GradientBoostedTreesModel</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/myGradientBoostingRegressionModel&quot;</span><span class="p">)</span>
 </pre></div>
     <div><small>Find full example code at "examples/src/main/python/mllib/gradient_boosting_regression_example.py" in the Spark repo.</small></div>
   </div>


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