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<h1 class="title"><a href="ml-guide.html">ML</a> - Features</h1>
<p>This section covers algorithms for working with features, roughly divided into these groups:</p>
<ul>
<li>Extraction: Extracting features from “raw” data</li>
<li>Transformation: Scaling, converting, or modifying features</li>
<li>Selection: Selecting a subset from a larger set of features</li>
</ul>
<p><strong>Table of Contents</strong></p>
<ul id="markdown-toc">
<li><a href="#feature-extractors" id="markdown-toc-feature-extractors">Feature Extractors</a> <ul>
<li><a href="#tf-idf-hashingtf-and-idf" id="markdown-toc-tf-idf-hashingtf-and-idf">TF-IDF (HashingTF and IDF)</a></li>
<li><a href="#word2vec" id="markdown-toc-word2vec">Word2Vec</a></li>
</ul>
</li>
<li><a href="#feature-transformers" id="markdown-toc-feature-transformers">Feature Transformers</a> <ul>
<li><a href="#tokenizer" id="markdown-toc-tokenizer">Tokenizer</a></li>
<li><a href="#binarizer" id="markdown-toc-binarizer">Binarizer</a></li>
<li><a href="#polynomialexpansion" id="markdown-toc-polynomialexpansion">PolynomialExpansion</a></li>
<li><a href="#stringindexer" id="markdown-toc-stringindexer">StringIndexer</a></li>
<li><a href="#onehotencoder" id="markdown-toc-onehotencoder">OneHotEncoder</a></li>
<li><a href="#vectorindexer" id="markdown-toc-vectorindexer">VectorIndexer</a></li>
<li><a href="#normalizer" id="markdown-toc-normalizer">Normalizer</a></li>
<li><a href="#standardscaler" id="markdown-toc-standardscaler">StandardScaler</a></li>
<li><a href="#bucketizer" id="markdown-toc-bucketizer">Bucketizer</a></li>
<li><a href="#elementwiseproduct" id="markdown-toc-elementwiseproduct">ElementwiseProduct</a></li>
<li><a href="#vectorassembler" id="markdown-toc-vectorassembler">VectorAssembler</a></li>
</ul>
</li>
<li><a href="#feature-selectors" id="markdown-toc-feature-selectors">Feature Selectors</a></li>
</ul>
<h1 id="feature-extractors">Feature Extractors</h1>
<h2 id="tf-idf-hashingtf-and-idf">TF-IDF (HashingTF and IDF)</h2>
<p><a href="http://en.wikipedia.org/wiki/Tf%E2%80%93idf">Term Frequency-Inverse Document Frequency (TF-IDF)</a> is a common text pre-processing step. In Spark ML, TF-IDF is separate into two parts: TF (+hashing) and IDF.</p>
<p><strong>TF</strong>: <code>HashingTF</code> is a <code>Transformer</code> which takes sets of terms and converts those sets into fixed-length feature vectors. In text processing, a “set of terms” might be a bag of words.
The algorithm combines Term Frequency (TF) counts with the <a href="http://en.wikipedia.org/wiki/Feature_hashing">hashing trick</a> for dimensionality reduction.</p>
<p><strong>IDF</strong>: <code>IDF</code> is an <code>Estimator</code> which fits on a dataset and produces an <code>IDFModel</code>. The <code>IDFModel</code> takes feature vectors (generally created from <code>HashingTF</code>) and scales each column. Intuitively, it down-weights columns which appear frequently in a corpus.</p>
<p>Please refer to the <a href="mllib-feature-extraction.html#tf-idf">MLlib user guide on TF-IDF</a> for more details on Term Frequency and Inverse Document Frequency.
For API details, refer to the <a href="api/scala/index.html#org.apache.spark.ml.feature.HashingTF">HashingTF API docs</a> and the <a href="api/scala/index.html#org.apache.spark.ml.feature.IDF">IDF API docs</a>.</p>
<p>In the following code segment, we start with a set of sentences. We split each sentence into words using <code>Tokenizer</code>. For each sentence (bag of words), we use <code>HashingTF</code> to hash the sentence into a feature vector. We use <code>IDF</code> to rescale the feature vectors; this generally improves performance when using text as features. Our feature vectors could then be passed to a learning algorithm.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.</span><span class="o">{</span><span class="nc">HashingTF</span><span class="o">,</span> <span class="nc">IDF</span><span class="o">,</span> <span class="nc">Tokenizer</span><span class="o">}</span>
<span class="k">val</span> <span class="n">sentenceData</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="nc">Seq</span><span class="o">(</span>
<span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"Hi I heard about Spark"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"I wish Java could use case classes"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="s">"Logistic regression models are neat"</span><span class="o">)</span>
<span class="o">)).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"label"</span><span class="o">,</span> <span class="s">"sentence"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">tokenizer</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">Tokenizer</span><span class="o">().</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"sentence"</span><span class="o">).</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"words"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">wordsData</span> <span class="k">=</span> <span class="n">tokenizer</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">sentenceData</span><span class="o">)</span>
<span class="k">val</span> <span class="n">hashingTF</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">HashingTF</span><span class="o">().</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"words"</span><span class="o">).</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"rawFeatures"</span><span class="o">).</span><span class="n">setNumFeatures</span><span class="o">(</span><span class="mi">20</span><span class="o">)</span>
<span class="k">val</span> <span class="n">featurizedData</span> <span class="k">=</span> <span class="n">hashingTF</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">wordsData</span><span class="o">)</span>
<span class="k">val</span> <span class="n">idf</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">IDF</span><span class="o">().</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"rawFeatures"</span><span class="o">).</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">idfModel</span> <span class="k">=</span> <span class="n">idf</span><span class="o">.</span><span class="n">fit</span><span class="o">(</span><span class="n">featurizedData</span><span class="o">)</span>
<span class="k">val</span> <span class="n">rescaledData</span> <span class="k">=</span> <span class="n">idfModel</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">featurizedData</span><span class="o">)</span>
<span class="n">rescaledData</span><span class="o">.</span><span class="n">select</span><span class="o">(</span><span class="s">"features"</span><span class="o">,</span> <span class="s">"label"</span><span class="o">).</span><span class="n">take</span><span class="o">(</span><span class="mi">3</span><span class="o">).</span><span class="n">foreach</span><span class="o">(</span><span class="n">println</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">com.google.common.collect.Lists</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.ml.feature.HashingTF</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.ml.feature.IDF</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.ml.feature.Tokenizer</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vector</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.DataTypes</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.Metadata</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructField</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructType</span><span class="o">;</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">jrdd</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">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"Hi I heard about Spark"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"I wish Java could use case classes"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="s">"Logistic regression models are neat"</span><span class="o">)</span>
<span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]{</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"label"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">()),</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"sentence"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">StringType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">())</span>
<span class="o">});</span>
<span class="n">DataFrame</span> <span class="n">sentenceData</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">jrdd</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">Tokenizer</span> <span class="n">tokenizer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">Tokenizer</span><span class="o">().</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"sentence"</span><span class="o">).</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"words"</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">wordsData</span> <span class="o">=</span> <span class="n">tokenizer</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">sentenceData</span><span class="o">);</span>
<span class="kt">int</span> <span class="n">numFeatures</span> <span class="o">=</span> <span class="mi">20</span><span class="o">;</span>
<span class="n">HashingTF</span> <span class="n">hashingTF</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">HashingTF</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"words"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"rawFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setNumFeatures</span><span class="o">(</span><span class="n">numFeatures</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">featurizedData</span> <span class="o">=</span> <span class="n">hashingTF</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">wordsData</span><span class="o">);</span>
<span class="n">IDF</span> <span class="n">idf</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">IDF</span><span class="o">().</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"rawFeatures"</span><span class="o">).</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">);</span>
<span class="n">IDFModel</span> <span class="n">idfModel</span> <span class="o">=</span> <span class="n">idf</span><span class="o">.</span><span class="na">fit</span><span class="o">(</span><span class="n">featurizedData</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">rescaledData</span> <span class="o">=</span> <span class="n">idfModel</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">featurizedData</span><span class="o">);</span>
<span class="k">for</span> <span class="o">(</span><span class="n">Row</span> <span class="n">r</span> <span class="o">:</span> <span class="n">rescaledData</span><span class="o">.</span><span class="na">select</span><span class="o">(</span><span class="s">"features"</span><span class="o">,</span> <span class="s">"label"</span><span class="o">).</span><span class="na">take</span><span class="o">(</span><span class="mi">3</span><span class="o">))</span> <span class="o">{</span>
<span class="n">Vector</span> <span class="n">features</span> <span class="o">=</span> <span class="n">r</span><span class="o">.</span><span class="na">getAs</span><span class="o">(</span><span class="mi">0</span><span class="o">);</span>
<span class="n">Double</span> <span class="n">label</span> <span class="o">=</span> <span class="n">r</span><span class="o">.</span><span class="na">getDouble</span><span class="o">(</span><span class="mi">1</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="n">features</span><span class="o">);</span>
<span class="o">}</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">HashingTF</span><span class="p">,</span> <span class="n">IDF</span><span class="p">,</span> <span class="n">Tokenizer</span>
<span class="n">sentenceData</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">([</span>
<span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="s">"Hi I heard about Spark"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="s">"I wish Java could use case classes"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="s">"Logistic regression models are neat"</span><span class="p">)</span>
<span class="p">],</span> <span class="p">[</span><span class="s">"label"</span><span class="p">,</span> <span class="s">"sentence"</span><span class="p">])</span>
<span class="n">tokenizer</span> <span class="o">=</span> <span class="n">Tokenizer</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"sentence"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"words"</span><span class="p">)</span>
<span class="n">wordsData</span> <span class="o">=</span> <span class="n">tokenizer</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">sentenceData</span><span class="p">)</span>
<span class="n">hashingTF</span> <span class="o">=</span> <span class="n">HashingTF</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"words"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"rawFeatures"</span><span class="p">,</span> <span class="n">numFeatures</span><span class="o">=</span><span class="mi">20</span><span class="p">)</span>
<span class="n">featurizedData</span> <span class="o">=</span> <span class="n">hashingTF</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">wordsData</span><span class="p">)</span>
<span class="n">idf</span> <span class="o">=</span> <span class="n">IDF</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"rawFeatures"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"features"</span><span class="p">)</span>
<span class="n">idfModel</span> <span class="o">=</span> <span class="n">idf</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">featurizedData</span><span class="p">)</span>
<span class="n">rescaledData</span> <span class="o">=</span> <span class="n">idfModel</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">featurizedData</span><span class="p">)</span>
<span class="k">for</span> <span class="n">features_label</span> <span class="ow">in</span> <span class="n">rescaledData</span><span class="o">.</span><span class="n">select</span><span class="p">(</span><span class="s">"features"</span><span class="p">,</span> <span class="s">"label"</span><span class="p">)</span><span class="o">.</span><span class="n">take</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
<span class="k">print</span><span class="p">(</span><span class="n">features_label</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h2 id="word2vec">Word2Vec</h2>
<p><code>Word2Vec</code> is an <code>Estimator</code> which takes sequences of words that represents documents and trains a <code>Word2VecModel</code>. The model is a <code>Map(String, Vector)</code> essentially, which maps each word to an unique fix-sized vector. The <code>Word2VecModel</code> transforms each documents into a vector using the average of all words in the document, which aims to other computations of documents such as similarity calculation consequencely. Please refer to the <a href="mllib-feature-extraction.html#Word2Vec">MLlib user guide on Word2Vec</a> for more details on Word2Vec.</p>
<p>Word2Vec is implemented in <a href="api/scala/index.html#org.apache.spark.ml.feature.Word2Vec">Word2Vec</a>. In the following code segment, we start with a set of documents, each of them is represented as a sequence of words. For each document, we transform it into a feature vector. This feature vector could then be passed to a learning algorithm.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.Word2Vec</span>
<span class="c1">// Input data: Each row is a bag of words from a sentence or document.</span>
<span class="k">val</span> <span class="n">documentDF</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="nc">Seq</span><span class="o">(</span>
<span class="s">"Hi I heard about Spark"</span><span class="o">.</span><span class="n">split</span><span class="o">(</span><span class="s">" "</span><span class="o">),</span>
<span class="s">"I wish Java could use case classes"</span><span class="o">.</span><span class="n">split</span><span class="o">(</span><span class="s">" "</span><span class="o">),</span>
<span class="s">"Logistic regression models are neat"</span><span class="o">.</span><span class="n">split</span><span class="o">(</span><span class="s">" "</span><span class="o">)</span>
<span class="o">).</span><span class="n">map</span><span class="o">(</span><span class="nc">Tuple1</span><span class="o">.</span><span class="n">apply</span><span class="o">)).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"text"</span><span class="o">)</span>
<span class="c1">// Learn a mapping from words to Vectors.</span>
<span class="k">val</span> <span class="n">word2Vec</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">Word2Vec</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"text"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"result"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setVectorSize</span><span class="o">(</span><span class="mi">3</span><span class="o">)</span>
<span class="o">.</span><span class="n">setMinCount</span><span class="o">(</span><span class="mi">0</span><span class="o">)</span>
<span class="k">val</span> <span class="n">model</span> <span class="k">=</span> <span class="n">word2Vec</span><span class="o">.</span><span class="n">fit</span><span class="o">(</span><span class="n">documentDF</span><span class="o">)</span>
<span class="k">val</span> <span class="n">result</span> <span class="k">=</span> <span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">documentDF</span><span class="o">)</span>
<span class="n">result</span><span class="o">.</span><span class="n">select</span><span class="o">(</span><span class="s">"result"</span><span class="o">).</span><span class="n">take</span><span class="o">(</span><span class="mi">3</span><span class="o">).</span><span class="n">foreach</span><span class="o">(</span><span class="n">println</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">com.google.common.collect.Lists</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>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.SQLContext</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.*</span><span class="o">;</span>
<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="o">...</span>
<span class="n">SQLContext</span> <span class="n">sqlContext</span> <span class="o">=</span> <span class="o">...</span>
<span class="c1">// Input data: Each row is a bag of words from a sentence or document.</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">jrdd</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">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="n">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span><span class="s">"Hi I heard about Spark"</span><span class="o">.</span><span class="na">split</span><span class="o">(</span><span class="s">" "</span><span class="o">))),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="n">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span><span class="s">"I wish Java could use case classes"</span><span class="o">.</span><span class="na">split</span><span class="o">(</span><span class="s">" "</span><span class="o">))),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="n">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span><span class="s">"Logistic regression models are neat"</span><span class="o">.</span><span class="na">split</span><span class="o">(</span><span class="s">" "</span><span class="o">)))</span>
<span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]{</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"text"</span><span class="o">,</span> <span class="k">new</span> <span class="nf">ArrayType</span><span class="o">(</span><span class="n">DataTypes</span><span class="o">.</span><span class="na">StringType</span><span class="o">,</span> <span class="kc">true</span><span class="o">),</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">())</span>
<span class="o">});</span>
<span class="n">DataFrame</span> <span class="n">documentDF</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">jrdd</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="c1">// Learn a mapping from words to Vectors.</span>
<span class="n">Word2Vec</span> <span class="n">word2Vec</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">Word2Vec</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"text"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"result"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setVectorSize</span><span class="o">(</span><span class="mi">3</span><span class="o">)</span>
<span class="o">.</span><span class="na">setMinCount</span><span class="o">(</span><span class="mi">0</span><span class="o">);</span>
<span class="n">Word2VecModel</span> <span class="n">model</span> <span class="o">=</span> <span class="n">word2Vec</span><span class="o">.</span><span class="na">fit</span><span class="o">(</span><span class="n">documentDF</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">result</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">documentDF</span><span class="o">);</span>
<span class="k">for</span> <span class="o">(</span><span class="n">Row</span> <span class="nl">r:</span> <span class="n">result</span><span class="o">.</span><span class="na">select</span><span class="o">(</span><span class="s">"result"</span><span class="o">).</span><span class="na">take</span><span class="o">(</span><span class="mi">3</span><span class="o">))</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="n">r</span><span class="o">);</span>
<span class="o">}</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">Word2Vec</span>
<span class="c"># Input data: Each row is a bag of words from a sentence or document.</span>
<span class="n">documentDF</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">([</span>
<span class="p">(</span><span class="s">"Hi I heard about Spark"</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">" "</span><span class="p">),</span> <span class="p">),</span>
<span class="p">(</span><span class="s">"I wish Java could use case classes"</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">" "</span><span class="p">),</span> <span class="p">),</span>
<span class="p">(</span><span class="s">"Logistic regression models are neat"</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">" "</span><span class="p">),</span> <span class="p">)</span>
<span class="p">],</span> <span class="p">[</span><span class="s">"text"</span><span class="p">])</span>
<span class="c"># Learn a mapping from words to Vectors.</span>
<span class="n">word2Vec</span> <span class="o">=</span> <span class="n">Word2Vec</span><span class="p">(</span><span class="n">vectorSize</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">minCount</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">inputCol</span><span class="o">=</span><span class="s">"text"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"result"</span><span class="p">)</span>
<span class="n">model</span> <span class="o">=</span> <span class="n">word2Vec</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">documentDF</span><span class="p">)</span>
<span class="n">result</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">documentDF</span><span class="p">)</span>
<span class="k">for</span> <span class="n">feature</span> <span class="ow">in</span> <span class="n">result</span><span class="o">.</span><span class="n">select</span><span class="p">(</span><span class="s">"result"</span><span class="p">)</span><span class="o">.</span><span class="n">take</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
<span class="k">print</span><span class="p">(</span><span class="n">feature</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h1 id="feature-transformers">Feature Transformers</h1>
<h2 id="tokenizer">Tokenizer</h2>
<p><a href="http://en.wikipedia.org/wiki/Lexical_analysis#Tokenization">Tokenization</a> is the process of taking text (such as a sentence) and breaking it into individual terms (usually words). A simple <a href="api/scala/index.html#org.apache.spark.ml.feature.Tokenizer">Tokenizer</a> class provides this functionality. The example below shows how to split sentences into sequences of words.</p>
<p>Note: A more advanced tokenizer is provided via <a href="api/scala/index.html#org.apache.spark.ml.feature.RegexTokenizer">RegexTokenizer</a>.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.Tokenizer</span>
<span class="k">val</span> <span class="n">sentenceDataFrame</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="nc">Seq</span><span class="o">(</span>
<span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"Hi I heard about Spark"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"I wish Java could use case classes"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="s">"Logistic regression models are neat"</span><span class="o">)</span>
<span class="o">)).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"label"</span><span class="o">,</span> <span class="s">"sentence"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">tokenizer</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">Tokenizer</span><span class="o">().</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"sentence"</span><span class="o">).</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"words"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">wordsDataFrame</span> <span class="k">=</span> <span class="n">tokenizer</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">sentenceDataFrame</span><span class="o">)</span>
<span class="n">wordsDataFrame</span><span class="o">.</span><span class="n">select</span><span class="o">(</span><span class="s">"words"</span><span class="o">,</span> <span class="s">"label"</span><span class="o">).</span><span class="n">take</span><span class="o">(</span><span class="mi">3</span><span class="o">).</span><span class="n">foreach</span><span class="o">(</span><span class="n">println</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">com.google.common.collect.Lists</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.ml.feature.Tokenizer</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vector</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.DataTypes</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.Metadata</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructField</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructType</span><span class="o">;</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">jrdd</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">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"Hi I heard about Spark"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"I wish Java could use case classes"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="s">"Logistic regression models are neat"</span><span class="o">)</span>
<span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]{</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"label"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">()),</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"sentence"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">StringType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">())</span>
<span class="o">});</span>
<span class="n">DataFrame</span> <span class="n">sentenceDataFrame</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">jrdd</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">Tokenizer</span> <span class="n">tokenizer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">Tokenizer</span><span class="o">().</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"sentence"</span><span class="o">).</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"words"</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">wordsDataFrame</span> <span class="o">=</span> <span class="n">tokenizer</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">sentenceDataFrame</span><span class="o">);</span>
<span class="k">for</span> <span class="o">(</span><span class="n">Row</span> <span class="n">r</span> <span class="o">:</span> <span class="n">wordsDataFrame</span><span class="o">.</span><span class="na">select</span><span class="o">(</span><span class="s">"words"</span><span class="o">,</span> <span class="s">"label"</span><span class="o">).</span><span class="na">take</span><span class="o">(</span><span class="mi">3</span><span class="o">))</span> <span class="o">{</span>
<span class="n">java</span><span class="o">.</span><span class="na">util</span><span class="o">.</span><span class="na">List</span><span class="o"><</span><span class="n">String</span><span class="o">></span> <span class="n">words</span> <span class="o">=</span> <span class="n">r</span><span class="o">.</span><span class="na">getList</span><span class="o">(</span><span class="mi">0</span><span class="o">);</span>
<span class="k">for</span> <span class="o">(</span><span class="n">String</span> <span class="n">word</span> <span class="o">:</span> <span class="n">words</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">print</span><span class="o">(</span><span class="n">word</span> <span class="o">+</span> <span class="s">" "</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="o">}</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">Tokenizer</span>
<span class="n">sentenceDataFrame</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">([</span>
<span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="s">"Hi I heard about Spark"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="s">"I wish Java could use case classes"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="s">"Logistic regression models are neat"</span><span class="p">)</span>
<span class="p">],</span> <span class="p">[</span><span class="s">"label"</span><span class="p">,</span> <span class="s">"sentence"</span><span class="p">])</span>
<span class="n">tokenizer</span> <span class="o">=</span> <span class="n">Tokenizer</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"sentence"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"words"</span><span class="p">)</span>
<span class="n">wordsDataFrame</span> <span class="o">=</span> <span class="n">tokenizer</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">sentenceDataFrame</span><span class="p">)</span>
<span class="k">for</span> <span class="n">words_label</span> <span class="ow">in</span> <span class="n">wordsDataFrame</span><span class="o">.</span><span class="n">select</span><span class="p">(</span><span class="s">"words"</span><span class="p">,</span> <span class="s">"label"</span><span class="p">)</span><span class="o">.</span><span class="n">take</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
<span class="k">print</span><span class="p">(</span><span class="n">words_label</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h2 id="binarizer">Binarizer</h2>
<p>Binarization is the process of thresholding numerical features to binary features. As some probabilistic estimators make assumption that the input data is distributed according to <a href="http://en.wikipedia.org/wiki/Bernoulli_distribution">Bernoulli distribution</a>, a binarizer is useful for pre-processing the input data with continuous numerical features.</p>
<p>A simple <a href="api/scala/index.html#org.apache.spark.ml.feature.Binarizer">Binarizer</a> class provides this functionality. Besides the common parameters of <code>inputCol</code> and <code>outputCol</code>, <code>Binarizer</code> has the parameter <code>threshold</code> used for binarizing continuous numerical features. The features greater than the threshold, will be binarized to 1.0. The features equal to or less than the threshold, will be binarized to 0.0. The example below shows how to binarize numerical features.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.Binarizer</span>
<span class="k">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span>
<span class="k">val</span> <span class="n">data</span> <span class="k">=</span> <span class="nc">Array</span><span class="o">(</span>
<span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="mf">0.1</span><span class="o">),</span>
<span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="mf">0.8</span><span class="o">),</span>
<span class="o">(</span><span class="mi">2</span><span class="o">,</span> <span class="mf">0.2</span><span class="o">)</span>
<span class="o">)</span>
<span class="k">val</span> <span class="n">dataFrame</span><span class="k">:</span> <span class="kt">DataFrame</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"label"</span><span class="o">,</span> <span class="s">"feature"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">binarizer</span><span class="k">:</span> <span class="kt">Binarizer</span> <span class="o">=</span> <span class="k">new</span> <span class="nc">Binarizer</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"feature"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"binarized_feature"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setThreshold</span><span class="o">(</span><span class="mf">0.5</span><span class="o">)</span>
<span class="k">val</span> <span class="n">binarizedDataFrame</span> <span class="k">=</span> <span class="n">binarizer</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">)</span>
<span class="k">val</span> <span class="n">binarizedFeatures</span> <span class="k">=</span> <span class="n">binarizedDataFrame</span><span class="o">.</span><span class="n">select</span><span class="o">(</span><span class="s">"binarized_feature"</span><span class="o">)</span>
<span class="n">binarizedFeatures</span><span class="o">.</span><span class="n">collect</span><span class="o">().</span><span class="n">foreach</span><span class="o">(</span><span class="n">println</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">com.google.common.collect.Lists</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.ml.feature.Binarizer</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.DataTypes</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.Metadata</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructField</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructType</span><span class="o">;</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">jrdd</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">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="mf">0.1</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="mf">0.8</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">2</span><span class="o">,</span> <span class="mf">0.2</span><span class="o">)</span>
<span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]{</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"label"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">()),</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"feature"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">())</span>
<span class="o">});</span>
<span class="n">DataFrame</span> <span class="n">continuousDataFrame</span> <span class="o">=</span> <span class="n">jsql</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">jrdd</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">Binarizer</span> <span class="n">binarizer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">Binarizer</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"feature"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"binarized_feature"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setThreshold</span><span class="o">(</span><span class="mf">0.5</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">binarizedDataFrame</span> <span class="o">=</span> <span class="n">binarizer</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">continuousDataFrame</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">binarizedFeatures</span> <span class="o">=</span> <span class="n">binarizedDataFrame</span><span class="o">.</span><span class="na">select</span><span class="o">(</span><span class="s">"binarized_feature"</span><span class="o">);</span>
<span class="k">for</span> <span class="o">(</span><span class="n">Row</span> <span class="n">r</span> <span class="o">:</span> <span class="n">binarizedFeatures</span><span class="o">.</span><span class="na">collect</span><span class="o">())</span> <span class="o">{</span>
<span class="n">Double</span> <span class="n">binarized_value</span> <span class="o">=</span> <span class="n">r</span><span class="o">.</span><span class="na">getDouble</span><span class="o">(</span><span class="mi">0</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="n">binarized_value</span><span class="o">);</span>
<span class="o">}</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">Binarizer</span>
<span class="n">continuousDataFrame</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">([</span>
<span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mf">0.1</span><span class="p">),</span>
<span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mf">0.8</span><span class="p">),</span>
<span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="mf">0.2</span><span class="p">)</span>
<span class="p">],</span> <span class="p">[</span><span class="s">"label"</span><span class="p">,</span> <span class="s">"feature"</span><span class="p">])</span>
<span class="n">binarizer</span> <span class="o">=</span> <span class="n">Binarizer</span><span class="p">(</span><span class="n">threshold</span><span class="o">=</span><span class="mf">0.5</span><span class="p">,</span> <span class="n">inputCol</span><span class="o">=</span><span class="s">"feature"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"binarized_feature"</span><span class="p">)</span>
<span class="n">binarizedDataFrame</span> <span class="o">=</span> <span class="n">binarizer</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">continuousDataFrame</span><span class="p">)</span>
<span class="n">binarizedFeatures</span> <span class="o">=</span> <span class="n">binarizedDataFrame</span><span class="o">.</span><span class="n">select</span><span class="p">(</span><span class="s">"binarized_feature"</span><span class="p">)</span>
<span class="k">for</span> <span class="n">binarized_feature</span><span class="p">,</span> <span class="ow">in</span> <span class="n">binarizedFeatures</span><span class="o">.</span><span class="n">collect</span><span class="p">():</span>
<span class="k">print</span><span class="p">(</span><span class="n">binarized_feature</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h2 id="polynomialexpansion">PolynomialExpansion</h2>
<p><a href="http://en.wikipedia.org/wiki/Polynomial_expansion">Polynomial expansion</a> is the process of expanding your features into a polynomial space, which is formulated by an n-degree combination of original dimensions. A <a href="api/scala/index.html#org.apache.spark.ml.feature.PolynomialExpansion">PolynomialExpansion</a> class provides this functionality. The example below shows how to expand your features into a 3-degree polynomial space.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.PolynomialExpansion</span>
<span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
<span class="k">val</span> <span class="n">data</span> <span class="k">=</span> <span class="nc">Array</span><span class="o">(</span>
<span class="nc">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="o">(-</span><span class="mf">2.0</span><span class="o">,</span> <span class="mf">2.3</span><span class="o">),</span>
<span class="nc">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="o">(</span><span class="mf">0.0</span><span class="o">,</span> <span class="mf">0.0</span><span class="o">),</span>
<span class="nc">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="o">(</span><span class="mf">0.6</span><span class="o">,</span> <span class="o">-</span><span class="mf">1.1</span><span class="o">)</span>
<span class="o">)</span>
<span class="k">val</span> <span class="n">df</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">.</span><span class="n">map</span><span class="o">(</span><span class="nc">Tuple1</span><span class="o">.</span><span class="n">apply</span><span class="o">)).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">polynomialExpansion</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">PolynomialExpansion</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"polyFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setDegree</span><span class="o">(</span><span class="mi">3</span><span class="o">)</span>
<span class="k">val</span> <span class="n">polyDF</span> <span class="k">=</span> <span class="n">polynomialExpansion</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">df</span><span class="o">)</span>
<span class="n">polyDF</span><span class="o">.</span><span class="n">select</span><span class="o">(</span><span class="s">"polyFeatures"</span><span class="o">).</span><span class="n">take</span><span class="o">(</span><span class="mi">3</span><span class="o">).</span><span class="n">foreach</span><span class="o">(</span><span class="n">println</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">com.google.common.collect.Lists</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>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vector</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.linalg.VectorUDT</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.SQLContext</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.Metadata</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructField</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructType</span><span class="o">;</span>
<span class="n">JavaSparkContext</span> <span class="n">jsc</span> <span class="o">=</span> <span class="o">...</span>
<span class="n">SQLContext</span> <span class="n">jsql</span> <span class="o">=</span> <span class="o">...</span>
<span class="n">PolynomialExpansion</span> <span class="n">polyExpansion</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">PolynomialExpansion</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"polyFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setDegree</span><span class="o">(</span><span class="mi">3</span><span class="o">);</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">data</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">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</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="mf">2.0</span><span class="o">,</span> <span class="mf">2.3</span><span class="o">)),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</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="mf">0.0</span><span class="o">,</span> <span class="mf">0.0</span><span class="o">)),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</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="mf">0.6</span><span class="o">,</span> <span class="o">-</span><span class="mf">1.1</span><span class="o">))</span>
<span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]</span> <span class="o">{</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"features"</span><span class="o">,</span> <span class="k">new</span> <span class="nf">VectorUDT</span><span class="o">(),</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">()),</span>
<span class="o">});</span>
<span class="n">DataFrame</span> <span class="n">df</span> <span class="o">=</span> <span class="n">jsql</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">polyDF</span> <span class="o">=</span> <span class="n">polyExpansion</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">df</span><span class="o">);</span>
<span class="n">Row</span><span class="o">[]</span> <span class="n">row</span> <span class="o">=</span> <span class="n">polyDF</span><span class="o">.</span><span class="na">select</span><span class="o">(</span><span class="s">"polyFeatures"</span><span class="o">).</span><span class="na">take</span><span class="o">(</span><span class="mi">3</span><span class="o">);</span>
<span class="k">for</span> <span class="o">(</span><span class="n">Row</span> <span class="n">r</span> <span class="o">:</span> <span class="n">row</span><span class="o">)</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="n">r</span><span class="o">.</span><span class="na">get</span><span class="o">(</span><span class="mi">0</span><span class="o">));</span>
<span class="o">}</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">PolynomialExpansion</span>
<span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">Vectors</span>
<span class="n">df</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">(</span>
<span class="p">[(</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="o">-</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">2.3</span><span class="p">]),</span> <span class="p">),</span>
<span class="p">(</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</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="p">),</span>
<span class="p">(</span><span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">0.6</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.1</span><span class="p">]),</span> <span class="p">)],</span>
<span class="p">[</span><span class="s">"features"</span><span class="p">])</span>
<span class="n">px</span> <span class="o">=</span> <span class="n">PolynomialExpansion</span><span class="p">(</span><span class="n">degree</span><span class="o">=</span><span class="mi">2</span><span class="p">,</span> <span class="n">inputCol</span><span class="o">=</span><span class="s">"features"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"polyFeatures"</span><span class="p">)</span>
<span class="n">polyDF</span> <span class="o">=</span> <span class="n">px</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">df</span><span class="p">)</span>
<span class="k">for</span> <span class="n">expanded</span> <span class="ow">in</span> <span class="n">polyDF</span><span class="o">.</span><span class="n">select</span><span class="p">(</span><span class="s">"polyFeatures"</span><span class="p">)</span><span class="o">.</span><span class="n">take</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
<span class="k">print</span><span class="p">(</span><span class="n">expanded</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h2 id="stringindexer">StringIndexer</h2>
<p><code>StringIndexer</code> encodes a string column of labels to a column of label indices.
The indices are in <code>[0, numLabels)</code>, ordered by label frequencies.
So the most frequent label gets index <code>0</code>.
If the input column is numeric, we cast it to string and index the string values.</p>
<p><strong>Examples</strong></p>
<p>Assume that we have the following DataFrame with columns <code>id</code> and <code>category</code>:</p>
<pre><code> id | category
----|----------
0 | a
1 | b
2 | c
3 | a
4 | a
5 | c
</code></pre>
<p><code>category</code> is a string column with three labels: “a”, “b”, and “c”.
Applying <code>StringIndexer</code> with <code>category</code> as the input column and <code>categoryIndex</code> as the output
column, we should get the following:</p>
<pre><code> id | category | categoryIndex
----|----------|---------------
0 | a | 0.0
1 | b | 2.0
2 | c | 1.0
3 | a | 0.0
4 | a | 0.0
5 | c | 1.0
</code></pre>
<p>“a” gets index <code>0</code> because it is the most frequent, followed by “c” with index <code>1</code> and “b” with
index <code>2</code>.</p>
<div class="codetabs">
<div data-lang="scala">
<p><a href="api/scala/index.html#org.apache.spark.ml.feature.StringIndexer"><code>StringIndexer</code></a> takes an input
column name and an output column name.</p>
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.StringIndexer</span>
<span class="k">val</span> <span class="n">df</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span>
<span class="nc">Seq</span><span class="o">((</span><span class="mi">0</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span> <span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="s">"b"</span><span class="o">),</span> <span class="o">(</span><span class="mi">2</span><span class="o">,</span> <span class="s">"c"</span><span class="o">),</span> <span class="o">(</span><span class="mi">3</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span> <span class="o">(</span><span class="mi">4</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span> <span class="o">(</span><span class="mi">5</span><span class="o">,</span> <span class="s">"c"</span><span class="o">))</span>
<span class="o">).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="s">"category"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">indexer</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">StringIndexer</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"category"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"categoryIndex"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">indexed</span> <span class="k">=</span> <span class="n">indexer</span><span class="o">.</span><span class="n">fit</span><span class="o">(</span><span class="n">df</span><span class="o">).</span><span class="n">transform</span><span class="o">(</span><span class="n">df</span><span class="o">)</span>
<span class="n">indexed</span><span class="o">.</span><span class="n">show</span><span class="o">()</span></code></pre></div>
</div>
<div data-lang="java">
<p><a href="api/java/org/apache/spark/ml/feature/StringIndexer.html"><code>StringIndexer</code></a> takes an input column
name and an output column name.</p>
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">java.util.Arrays</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.ml.feature.StringIndexer</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructField</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructType</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">static</span> <span class="n">org</span><span class="o">.</span><span class="na">apache</span><span class="o">.</span><span class="na">spark</span><span class="o">.</span><span class="na">sql</span><span class="o">.</span><span class="na">types</span><span class="o">.</span><span class="na">DataTypes</span><span class="o">.*;</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">jrdd</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">Arrays</span><span class="o">.</span><span class="na">asList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="s">"b"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">2</span><span class="o">,</span> <span class="s">"c"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">3</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">4</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">5</span><span class="o">,</span> <span class="s">"c"</span><span class="o">)</span>
<span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]</span> <span class="o">{</span>
<span class="n">createStructField</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="n">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">),</span>
<span class="n">createStructField</span><span class="o">(</span><span class="s">"category"</span><span class="o">,</span> <span class="n">StringType</span><span class="o">,</span> <span class="kc">false</span><span class="o">)</span>
<span class="o">});</span>
<span class="n">DataFrame</span> <span class="n">df</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">jrdd</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">StringIndexer</span> <span class="n">indexer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StringIndexer</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"category"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"categoryIndex"</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">indexed</span> <span class="o">=</span> <span class="n">indexer</span><span class="o">.</span><span class="na">fit</span><span class="o">(</span><span class="n">df</span><span class="o">).</span><span class="na">transform</span><span class="o">(</span><span class="n">df</span><span class="o">);</span>
<span class="n">indexed</span><span class="o">.</span><span class="na">show</span><span class="o">();</span></code></pre></div>
</div>
<div data-lang="python">
<p><a href="api/python/pyspark.ml.html#pyspark.ml.feature.StringIndexer"><code>StringIndexer</code></a> takes an input
column name and an output column name.</p>
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">StringIndexer</span>
<span class="n">df</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">(</span>
<span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="s">"a"</span><span class="p">),</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="s">"b"</span><span class="p">),</span> <span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="s">"c"</span><span class="p">),</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="s">"a"</span><span class="p">),</span> <span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="s">"a"</span><span class="p">),</span> <span class="p">(</span><span class="mi">5</span><span class="p">,</span> <span class="s">"c"</span><span class="p">)],</span>
<span class="p">[</span><span class="s">"id"</span><span class="p">,</span> <span class="s">"category"</span><span class="p">])</span>
<span class="n">indexer</span> <span class="o">=</span> <span class="n">StringIndexer</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"category"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"categoryIndex"</span><span class="p">)</span>
<span class="n">indexed</span> <span class="o">=</span> <span class="n">indexer</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">df</span><span class="p">)</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">df</span><span class="p">)</span>
<span class="n">indexed</span><span class="o">.</span><span class="n">show</span><span class="p">()</span></code></pre></div>
</div>
</div>
<h2 id="onehotencoder">OneHotEncoder</h2>
<p><a href="http://en.wikipedia.org/wiki/One-hot">One-hot encoding</a> maps a column of label indices to a column of binary vectors, with at most a single one-value. This encoding allows algorithms which expect continuous features, such as Logistic Regression, to use categorical features</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.</span><span class="o">{</span><span class="nc">OneHotEncoder</span><span class="o">,</span> <span class="nc">StringIndexer</span><span class="o">}</span>
<span class="k">val</span> <span class="n">df</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="nc">Seq</span><span class="o">(</span>
<span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="s">"b"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">2</span><span class="o">,</span> <span class="s">"c"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">3</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">4</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="o">(</span><span class="mi">5</span><span class="o">,</span> <span class="s">"c"</span><span class="o">)</span>
<span class="o">)).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="s">"category"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">indexer</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">StringIndexer</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"category"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"categoryIndex"</span><span class="o">)</span>
<span class="o">.</span><span class="n">fit</span><span class="o">(</span><span class="n">df</span><span class="o">)</span>
<span class="k">val</span> <span class="n">indexed</span> <span class="k">=</span> <span class="n">indexer</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">df</span><span class="o">)</span>
<span class="k">val</span> <span class="n">encoder</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">OneHotEncoder</span><span class="o">().</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"categoryIndex"</span><span class="o">).</span>
<span class="n">setOutputCol</span><span class="o">(</span><span class="s">"categoryVec"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">encoded</span> <span class="k">=</span> <span class="n">encoder</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">indexed</span><span class="o">)</span>
<span class="n">encoded</span><span class="o">.</span><span class="n">select</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="s">"categoryVec"</span><span class="o">).</span><span class="n">foreach</span><span class="o">(</span><span class="n">println</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">com.google.common.collect.Lists</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.ml.feature.OneHotEncoder</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.ml.feature.StringIndexer</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.ml.feature.StringIndexerModel</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.DataTypes</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.Metadata</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructField</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructType</span><span class="o">;</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">jrdd</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">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">1</span><span class="o">,</span> <span class="s">"b"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">2</span><span class="o">,</span> <span class="s">"c"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">3</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">4</span><span class="o">,</span> <span class="s">"a"</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">5</span><span class="o">,</span> <span class="s">"c"</span><span class="o">)</span>
<span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]{</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">()),</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"category"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">StringType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">())</span>
<span class="o">});</span>
<span class="n">DataFrame</span> <span class="n">df</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">jrdd</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">StringIndexerModel</span> <span class="n">indexer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StringIndexer</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"category"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"categoryIndex"</span><span class="o">)</span>
<span class="o">.</span><span class="na">fit</span><span class="o">(</span><span class="n">df</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">indexed</span> <span class="o">=</span> <span class="n">indexer</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">df</span><span class="o">);</span>
<span class="n">OneHotEncoder</span> <span class="n">encoder</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">OneHotEncoder</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"categoryIndex"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"categoryVec"</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">encoded</span> <span class="o">=</span> <span class="n">encoder</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">indexed</span><span class="o">);</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">OneHotEncoder</span><span class="p">,</span> <span class="n">StringIndexer</span>
<span class="n">df</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">([</span>
<span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="s">"a"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="s">"b"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="s">"c"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="s">"a"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">4</span><span class="p">,</span> <span class="s">"a"</span><span class="p">),</span>
<span class="p">(</span><span class="mi">5</span><span class="p">,</span> <span class="s">"c"</span><span class="p">)</span>
<span class="p">],</span> <span class="p">[</span><span class="s">"id"</span><span class="p">,</span> <span class="s">"category"</span><span class="p">])</span>
<span class="n">stringIndexer</span> <span class="o">=</span> <span class="n">StringIndexer</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"category"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"categoryIndex"</span><span class="p">)</span>
<span class="n">model</span> <span class="o">=</span> <span class="n">stringIndexer</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">df</span><span class="p">)</span>
<span class="n">indexed</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">df</span><span class="p">)</span>
<span class="n">encoder</span> <span class="o">=</span> <span class="n">OneHotEncoder</span><span class="p">(</span><span class="n">includeFirst</span><span class="o">=</span><span class="bp">False</span><span class="p">,</span> <span class="n">inputCol</span><span class="o">=</span><span class="s">"categoryIndex"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"categoryVec"</span><span class="p">)</span>
<span class="n">encoded</span> <span class="o">=</span> <span class="n">encoder</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">indexed</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h2 id="vectorindexer">VectorIndexer</h2>
<p><code>VectorIndexer</code> helps index categorical features in datasets of <code>Vector</code>s.
It can both automatically decide which features are categorical and convert original values to category indices. Specifically, it does the following:</p>
<ol>
<li>Take an input column of type <a href="api/scala/index.html#org.apache.spark.mllib.linalg.Vector">Vector</a> and a parameter <code>maxCategories</code>.</li>
<li>Decide which features should be categorical based on the number of distinct values, where features with at most <code>maxCategories</code> are declared categorical.</li>
<li>Compute 0-based category indices for each categorical feature.</li>
<li>Index categorical features and transform original feature values to indices.</li>
</ol>
<p>Indexing categorical features allows algorithms such as Decision Trees and Tree Ensembles to treat categorical features appropriately, improving performance.</p>
<p>Please refer to the <a href="api/scala/index.html#org.apache.spark.ml.feature.VectorIndexer">VectorIndexer API docs</a> for more details.</p>
<p>In the example below, we read in a dataset of labeled points and then use <code>VectorIndexer</code> to decide which features should be treated as categorical. We transform the categorical feature values to their indices. This transformed data could then be passed to algorithms such as <code>DecisionTreeRegressor</code> that handle categorical features.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.VectorIndexer</span>
<span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
<span class="k">val</span> <span class="n">data</span> <span class="k">=</span> <span class="nc">MLUtils</span><span class="o">.</span><span class="n">loadLibSVMFile</span><span class="o">(</span><span class="n">sc</span><span class="o">,</span> <span class="s">"data/mllib/sample_libsvm_data.txt"</span><span class="o">).</span><span class="n">toDF</span><span class="o">()</span>
<span class="k">val</span> <span class="n">indexer</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">VectorIndexer</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"indexed"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setMaxCategories</span><span class="o">(</span><span class="mi">10</span><span class="o">)</span>
<span class="k">val</span> <span class="n">indexerModel</span> <span class="k">=</span> <span class="n">indexer</span><span class="o">.</span><span class="n">fit</span><span class="o">(</span><span class="n">data</span><span class="o">)</span>
<span class="k">val</span> <span class="n">categoricalFeatures</span><span class="k">:</span> <span class="kt">Set</span><span class="o">[</span><span class="kt">Int</span><span class="o">]</span> <span class="k">=</span> <span class="n">indexerModel</span><span class="o">.</span><span class="n">categoryMaps</span><span class="o">.</span><span class="n">keys</span><span class="o">.</span><span class="n">toSet</span>
<span class="n">println</span><span class="o">(</span><span class="n">s</span><span class="s">"Chose ${categoricalFeatures.size} categorical features: "</span> <span class="o">+</span>
<span class="n">categoricalFeatures</span><span class="o">.</span><span class="n">mkString</span><span class="o">(</span><span class="s">", "</span><span class="o">))</span>
<span class="c1">// Create new column "indexed" with categorical values transformed to indices</span>
<span class="k">val</span> <span class="n">indexedData</span> <span class="k">=</span> <span class="n">indexerModel</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">data</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">java.util.Map</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.ml.feature.VectorIndexer</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.ml.feature.VectorIndexerModel</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.regression.LabeledPoint</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="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">LabeledPoint</span><span class="o">></span> <span class="n">rdd</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">sc</span><span class="o">.</span><span class="na">sc</span><span class="o">(),</span>
<span class="s">"data/mllib/sample_libsvm_data.txt"</span><span class="o">).</span><span class="na">toJavaRDD</span><span class="o">();</span>
<span class="n">DataFrame</span> <span class="n">data</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">rdd</span><span class="o">,</span> <span class="n">LabeledPoint</span><span class="o">.</span><span class="na">class</span><span class="o">);</span>
<span class="n">VectorIndexer</span> <span class="n">indexer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">VectorIndexer</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"indexed"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setMaxCategories</span><span class="o">(</span><span class="mi">10</span><span class="o">);</span>
<span class="n">VectorIndexerModel</span> <span class="n">indexerModel</span> <span class="o">=</span> <span class="n">indexer</span><span class="o">.</span><span class="na">fit</span><span class="o">(</span><span class="n">data</span><span class="o">);</span>
<span class="n">Map</span><span class="o"><</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Map</span><span class="o"><</span><span class="n">Double</span><span class="o">,</span> <span class="n">Integer</span><span class="o">>></span> <span class="n">categoryMaps</span> <span class="o">=</span> <span class="n">indexerModel</span><span class="o">.</span><span class="na">javaCategoryMaps</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">print</span><span class="o">(</span><span class="s">"Chose "</span> <span class="o">+</span> <span class="n">categoryMaps</span><span class="o">.</span><span class="na">size</span><span class="o">()</span> <span class="o">+</span> <span class="s">"categorical features:"</span><span class="o">);</span>
<span class="k">for</span> <span class="o">(</span><span class="n">Integer</span> <span class="n">feature</span> <span class="o">:</span> <span class="n">categoryMaps</span><span class="o">.</span><span class="na">keySet</span><span class="o">())</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">print</span><span class="o">(</span><span class="s">" "</span> <span class="o">+</span> <span class="n">feature</span><span class="o">);</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="c1">// Create new column "indexed" with categorical values transformed to indices</span>
<span class="n">DataFrame</span> <span class="n">indexedData</span> <span class="o">=</span> <span class="n">indexerModel</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">data</span><span class="o">);</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">VectorIndexer</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="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">"data/mllib/sample_libsvm_data.txt"</span><span class="p">)</span><span class="o">.</span><span class="n">toDF</span><span class="p">()</span>
<span class="n">indexer</span> <span class="o">=</span> <span class="n">VectorIndexer</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"features"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"indexed"</span><span class="p">,</span> <span class="n">maxCategories</span><span class="o">=</span><span class="mi">10</span><span class="p">)</span>
<span class="n">indexerModel</span> <span class="o">=</span> <span class="n">indexer</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
<span class="c"># Create new column "indexed" with categorical values transformed to indices</span>
<span class="n">indexedData</span> <span class="o">=</span> <span class="n">indexerModel</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">data</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h2 id="normalizer">Normalizer</h2>
<p><code>Normalizer</code> is a <code>Transformer</code> which transforms a dataset of <code>Vector</code> rows, normalizing each <code>Vector</code> to have unit norm. It takes parameter <code>p</code>, which specifies the <a href="http://en.wikipedia.org/wiki/Norm_%28mathematics%29#p-norm">p-norm</a> used for normalization. ($p = 2$ by default.) This normalization can help standardize your input data and improve the behavior of learning algorithms.</p>
<p>The following example demonstrates how to load a dataset in libsvm format and then normalize each row to have unit $L^2$ norm and unit $L^\infty$ norm.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.Normalizer</span>
<span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
<span class="k">val</span> <span class="n">data</span> <span class="k">=</span> <span class="nc">MLUtils</span><span class="o">.</span><span class="n">loadLibSVMFile</span><span class="o">(</span><span class="n">sc</span><span class="o">,</span> <span class="s">"data/mllib/sample_libsvm_data.txt"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">dataFrame</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">)</span>
<span class="c1">// Normalize each Vector using $L^1$ norm.</span>
<span class="k">val</span> <span class="n">normalizer</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">Normalizer</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"normFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setP</span><span class="o">(</span><span class="mf">1.0</span><span class="o">)</span>
<span class="k">val</span> <span class="n">l1NormData</span> <span class="k">=</span> <span class="n">normalizer</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">)</span>
<span class="c1">// Normalize each Vector using $L^\infty$ norm.</span>
<span class="k">val</span> <span class="n">lInfNormData</span> <span class="k">=</span> <span class="n">normalizer</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">,</span> <span class="n">normalizer</span><span class="o">.</span><span class="n">p</span> <span class="o">-></span> <span class="nc">Double</span><span class="o">.</span><span class="nc">PositiveInfinity</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><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.ml.feature.Normalizer</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.regression.LabeledPoint</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="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">LabeledPoint</span><span class="o">></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="s">"data/mllib/sample_libsvm_data.txt"</span><span class="o">).</span><span class="na">toJavaRDD</span><span class="o">();</span>
<span class="n">DataFrame</span> <span class="n">dataFrame</span> <span class="o">=</span> <span class="n">jsql</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">,</span> <span class="n">LabeledPoint</span><span class="o">.</span><span class="na">class</span><span class="o">);</span>
<span class="c1">// Normalize each Vector using $L^1$ norm.</span>
<span class="n">Normalizer</span> <span class="n">normalizer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">Normalizer</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"normFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setP</span><span class="o">(</span><span class="mf">1.0</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">l1NormData</span> <span class="o">=</span> <span class="n">normalizer</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">);</span>
<span class="c1">// Normalize each Vector using $L^\infty$ norm.</span>
<span class="n">DataFrame</span> <span class="n">lInfNormData</span> <span class="o">=</span>
<span class="n">normalizer</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">,</span> <span class="n">normalizer</span><span class="o">.</span><span class="na">p</span><span class="o">().</span><span class="na">w</span><span class="o">(</span><span class="n">Double</span><span class="o">.</span><span class="na">POSITIVE_INFINITY</span><span class="o">));</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.mllib.util</span> <span class="kn">import</span> <span class="n">MLUtils</span>
<span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">Normalizer</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">"data/mllib/sample_libsvm_data.txt"</span><span class="p">)</span>
<span class="n">dataFrame</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
<span class="c"># Normalize each Vector using $L^1$ norm.</span>
<span class="n">normalizer</span> <span class="o">=</span> <span class="n">Normalizer</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"features"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"normFeatures"</span><span class="p">,</span> <span class="n">p</span><span class="o">=</span><span class="mf">1.0</span><span class="p">)</span>
<span class="n">l1NormData</span> <span class="o">=</span> <span class="n">normalizer</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">dataFrame</span><span class="p">)</span>
<span class="c"># Normalize each Vector using $L^\infty$ norm.</span>
<span class="n">lInfNormData</span> <span class="o">=</span> <span class="n">normalizer</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">dataFrame</span><span class="p">,</span> <span class="p">{</span><span class="n">normalizer</span><span class="o">.</span><span class="n">p</span><span class="p">:</span> <span class="nb">float</span><span class="p">(</span><span class="s">"inf"</span><span class="p">)})</span></code></pre></div>
</div>
</div>
<h2 id="standardscaler">StandardScaler</h2>
<p><code>StandardScaler</code> transforms a dataset of <code>Vector</code> rows, normalizing each feature to have unit standard deviation and/or zero mean. It takes parameters:</p>
<ul>
<li><code>withStd</code>: True by default. Scales the data to unit standard deviation.</li>
<li><code>withMean</code>: False by default. Centers the data with mean before scaling. It will build a dense output, so this does not work on sparse input and will raise an exception.</li>
</ul>
<p><code>StandardScaler</code> is a <code>Model</code> which can be <code>fit</code> on a dataset to produce a <code>StandardScalerModel</code>; this amounts to computing summary statistics. The model can then transform a <code>Vector</code> column in a dataset to have unit standard deviation and/or zero mean features.</p>
<p>Note that if the standard deviation of a feature is zero, it will return default <code>0.0</code> value in the <code>Vector</code> for that feature.</p>
<p>More details can be found in the API docs for
<a href="api/scala/index.html#org.apache.spark.ml.feature.StandardScaler">StandardScaler</a> and
<a href="api/scala/index.html#org.apache.spark.ml.feature.StandardScalerModel">StandardScalerModel</a>.</p>
<p>The following example demonstrates how to load a dataset in libsvm format and then normalize each feature to have unit standard deviation.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.StandardScaler</span>
<span class="k">import</span> <span class="nn">org.apache.spark.mllib.util.MLUtils</span>
<span class="k">val</span> <span class="n">data</span> <span class="k">=</span> <span class="nc">MLUtils</span><span class="o">.</span><span class="n">loadLibSVMFile</span><span class="o">(</span><span class="n">sc</span><span class="o">,</span> <span class="s">"data/mllib/sample_libsvm_data.txt"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">dataFrame</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">)</span>
<span class="k">val</span> <span class="n">scaler</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">StandardScaler</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"scaledFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setWithStd</span><span class="o">(</span><span class="kc">true</span><span class="o">)</span>
<span class="o">.</span><span class="n">setWithMean</span><span class="o">(</span><span class="kc">false</span><span class="o">)</span>
<span class="c1">// Compute summary statistics by fitting the StandardScaler</span>
<span class="k">val</span> <span class="n">scalerModel</span> <span class="k">=</span> <span class="n">scaler</span><span class="o">.</span><span class="n">fit</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">)</span>
<span class="c1">// Normalize each feature to have unit standard deviation.</span>
<span class="k">val</span> <span class="n">scaledData</span> <span class="k">=</span> <span class="n">scalerModel</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><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.ml.feature.StandardScaler</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.regression.LabeledPoint</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="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">LabeledPoint</span><span class="o">></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="s">"data/mllib/sample_libsvm_data.txt"</span><span class="o">).</span><span class="na">toJavaRDD</span><span class="o">();</span>
<span class="n">DataFrame</span> <span class="n">dataFrame</span> <span class="o">=</span> <span class="n">jsql</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">,</span> <span class="n">LabeledPoint</span><span class="o">.</span><span class="na">class</span><span class="o">);</span>
<span class="n">StandardScaler</span> <span class="n">scaler</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StandardScaler</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"scaledFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setWithStd</span><span class="o">(</span><span class="kc">true</span><span class="o">)</span>
<span class="o">.</span><span class="na">setWithMean</span><span class="o">(</span><span class="kc">false</span><span class="o">);</span>
<span class="c1">// Compute summary statistics by fitting the StandardScaler</span>
<span class="n">StandardScalerModel</span> <span class="n">scalerModel</span> <span class="o">=</span> <span class="n">scaler</span><span class="o">.</span><span class="na">fit</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">);</span>
<span class="c1">// Normalize each feature to have unit standard deviation.</span>
<span class="n">DataFrame</span> <span class="n">scaledData</span> <span class="o">=</span> <span class="n">scalerModel</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">);</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.mllib.util</span> <span class="kn">import</span> <span class="n">MLUtils</span>
<span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">StandardScaler</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">"data/mllib/sample_libsvm_data.txt"</span><span class="p">)</span>
<span class="n">dataFrame</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">(</span><span class="n">data</span><span class="p">)</span>
<span class="n">scaler</span> <span class="o">=</span> <span class="n">StandardScaler</span><span class="p">(</span><span class="n">inputCol</span><span class="o">=</span><span class="s">"features"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"scaledFeatures"</span><span class="p">,</span>
<span class="n">withStd</span><span class="o">=</span><span class="bp">True</span><span class="p">,</span> <span class="n">withMean</span><span class="o">=</span><span class="bp">False</span><span class="p">)</span>
<span class="c"># Compute summary statistics by fitting the StandardScaler</span>
<span class="n">scalerModel</span> <span class="o">=</span> <span class="n">scaler</span><span class="o">.</span><span class="n">fit</span><span class="p">(</span><span class="n">dataFrame</span><span class="p">)</span>
<span class="c"># Normalize each feature to have unit standard deviation.</span>
<span class="n">scaledData</span> <span class="o">=</span> <span class="n">scalerModel</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">dataFrame</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h2 id="bucketizer">Bucketizer</h2>
<p><code>Bucketizer</code> transforms a column of continuous features to a column of feature buckets, where the buckets are specified by users. It takes a parameter:</p>
<ul>
<li><code>splits</code>: Parameter for mapping continuous features into buckets. With n+1 splits, there are n buckets. A bucket defined by splits x,y holds values in the range [x,y) except the last bucket, which also includes y. Splits should be strictly increasing. Values at -inf, inf must be explicitly provided to cover all Double values; Otherwise, values outside the splits specified will be treated as errors. Two examples of <code>splits</code> are <code>Array(Double.NegativeInfinity, 0.0, 1.0, Double.PositiveInfinity)</code> and <code>Array(0.0, 1.0, 2.0)</code>.</li>
</ul>
<p>Note that if you have no idea of the upper bound and lower bound of the targeted column, you would better add the <code>Double.NegativeInfinity</code> and <code>Double.PositiveInfinity</code> as the bounds of your splits to prevent a potenial out of Bucketizer bounds exception.</p>
<p>Note also that the splits that you provided have to be in strictly increasing order, i.e. <code>s0 < s1 < s2 < ... < sn</code>.</p>
<p>More details can be found in the API docs for <a href="api/scala/index.html#org.apache.spark.ml.feature.Bucketizer">Bucketizer</a>.</p>
<p>The following example demonstrates how to bucketize a column of <code>Double</code>s into another index-wised column.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.Bucketizer</span>
<span class="k">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span>
<span class="k">val</span> <span class="n">splits</span> <span class="k">=</span> <span class="nc">Array</span><span class="o">(</span><span class="nc">Double</span><span class="o">.</span><span class="nc">NegativeInfinity</span><span class="o">,</span> <span class="o">-</span><span class="mf">0.5</span><span class="o">,</span> <span class="mf">0.0</span><span class="o">,</span> <span class="mf">0.5</span><span class="o">,</span> <span class="nc">Double</span><span class="o">.</span><span class="nc">PositiveInfinity</span><span class="o">)</span>
<span class="k">val</span> <span class="n">data</span> <span class="k">=</span> <span class="nc">Array</span><span class="o">(-</span><span class="mf">0.5</span><span class="o">,</span> <span class="o">-</span><span class="mf">0.3</span><span class="o">,</span> <span class="mf">0.0</span><span class="o">,</span> <span class="mf">0.2</span><span class="o">)</span>
<span class="k">val</span> <span class="n">dataFrame</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">.</span><span class="n">map</span><span class="o">(</span><span class="nc">Tuple1</span><span class="o">.</span><span class="n">apply</span><span class="o">)).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">bucketizer</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">Bucketizer</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"bucketedFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setSplits</span><span class="o">(</span><span class="n">splits</span><span class="o">)</span>
<span class="c1">// Transform original data into its bucket index.</span>
<span class="k">val</span> <span class="n">bucketedData</span> <span class="k">=</span> <span class="n">bucketizer</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">com.google.common.collect.Lists</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.DataTypes</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.Metadata</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructField</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructType</span><span class="o">;</span>
<span class="kt">double</span><span class="o">[]</span> <span class="n">splits</span> <span class="o">=</span> <span class="o">{</span><span class="n">Double</span><span class="o">.</span><span class="na">NEGATIVE_INFINITY</span><span class="o">,</span> <span class="o">-</span><span class="mf">0.5</span><span class="o">,</span> <span class="mf">0.0</span><span class="o">,</span> <span class="mf">0.5</span><span class="o">,</span> <span class="n">Double</span><span class="o">.</span><span class="na">POSITIVE_INFINITY</span><span class="o">};</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">data</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">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(-</span><span class="mf">0.5</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(-</span><span class="mf">0.3</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mf">0.0</span><span class="o">),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mf">0.2</span><span class="o">)</span>
<span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">StructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]</span> <span class="o">{</span>
<span class="k">new</span> <span class="nf">StructField</span><span class="o">(</span><span class="s">"features"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">,</span> <span class="n">Metadata</span><span class="o">.</span><span class="na">empty</span><span class="o">())</span>
<span class="o">});</span>
<span class="n">DataFrame</span> <span class="n">dataFrame</span> <span class="o">=</span> <span class="n">jsql</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">data</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">Bucketizer</span> <span class="n">bucketizer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">Bucketizer</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"bucketedFeatures"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setSplits</span><span class="o">(</span><span class="n">splits</span><span class="o">);</span>
<span class="c1">// Transform original data into its bucket index.</span>
<span class="n">DataFrame</span> <span class="n">bucketedData</span> <span class="o">=</span> <span class="n">bucketizer</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">);</span></code></pre></div>
</div>
<div data-lang="python">
<div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.ml.feature</span> <span class="kn">import</span> <span class="n">Bucketizer</span>
<span class="n">splits</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="nb">float</span><span class="p">(</span><span class="s">"inf"</span><span class="p">),</span> <span class="o">-</span><span class="mf">0.5</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">,</span> <span class="nb">float</span><span class="p">(</span><span class="s">"inf"</span><span class="p">)]</span>
<span class="n">data</span> <span class="o">=</span> <span class="p">[(</span><span class="o">-</span><span class="mf">0.5</span><span class="p">,),</span> <span class="p">(</span><span class="o">-</span><span class="mf">0.3</span><span class="p">,),</span> <span class="p">(</span><span class="mf">0.0</span><span class="p">,),</span> <span class="p">(</span><span class="mf">0.2</span><span class="p">,)]</span>
<span class="n">dataFrame</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="p">[</span><span class="s">"features"</span><span class="p">])</span>
<span class="n">bucketizer</span> <span class="o">=</span> <span class="n">Bucketizer</span><span class="p">(</span><span class="n">splits</span><span class="o">=</span><span class="n">splits</span><span class="p">,</span> <span class="n">inputCol</span><span class="o">=</span><span class="s">"features"</span><span class="p">,</span> <span class="n">outputCol</span><span class="o">=</span><span class="s">"bucketedFeatures"</span><span class="p">)</span>
<span class="c"># Transform original data into its bucket index.</span>
<span class="n">bucketedData</span> <span class="o">=</span> <span class="n">bucketizer</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">dataFrame</span><span class="p">)</span></code></pre></div>
</div>
</div>
<h2 id="elementwiseproduct">ElementwiseProduct</h2>
<p>ElementwiseProduct multiplies each input vector by a provided “weight” vector, using element-wise multiplication. In other words, it scales each column of the dataset by a scalar multiplier. This represents the <a href="https://en.wikipedia.org/wiki/Hadamard_product_%28matrices%29">Hadamard product</a> between the input vector, <code>v</code> and transforming vector, <code>w</code>, to yield a result vector.</p>
<p><code>\[ \begin{pmatrix}
v_1 \\
\vdots \\
v_N
\end{pmatrix} \circ \begin{pmatrix}
w_1 \\
\vdots \\
w_N
\end{pmatrix}
= \begin{pmatrix}
v_1 w_1 \\
\vdots \\
v_N w_N
\end{pmatrix}
\]</code></p>
<p><a href="api/scala/index.html#org.apache.spark.ml.feature.ElementwiseProduct"><code>ElementwiseProduct</code></a> takes the following parameter:</p>
<ul>
<li><code>scalingVec</code>: the transforming vector.</li>
</ul>
<p>This example below demonstrates how to transform vectors using a transforming vector value.</p>
<div class="codetabs">
<div data-lang="scala">
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.ml.feature.ElementwiseProduct</span>
<span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
<span class="c1">// Create some vector data; also works for sparse vectors</span>
<span class="k">val</span> <span class="n">dataFrame</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span><span class="nc">Seq</span><span class="o">(</span>
<span class="o">(</span><span class="s">"a"</span><span class="o">,</span> <span class="nc">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="o">(</span><span class="mf">1.0</span><span class="o">,</span> <span class="mf">2.0</span><span class="o">,</span> <span class="mf">3.0</span><span class="o">)),</span>
<span class="o">(</span><span class="s">"b"</span><span class="o">,</span> <span class="nc">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="o">(</span><span class="mf">4.0</span><span class="o">,</span> <span class="mf">5.0</span><span class="o">,</span> <span class="mf">6.0</span><span class="o">)))).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="s">"vector"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">transformingVector</span> <span class="k">=</span> <span class="nc">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="o">(</span><span class="mf">0.0</span><span class="o">,</span> <span class="mf">1.0</span><span class="o">,</span> <span class="mf">2.0</span><span class="o">)</span>
<span class="k">val</span> <span class="n">transformer</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">ElementwiseProduct</span><span class="o">()</span>
<span class="o">.</span><span class="n">setScalingVec</span><span class="o">(</span><span class="n">transformingVector</span><span class="o">)</span>
<span class="o">.</span><span class="n">setInputCol</span><span class="o">(</span><span class="s">"vector"</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"transformedVector"</span><span class="o">)</span>
<span class="c1">// Batch transform the vectors to create new column:</span>
<span class="k">val</span> <span class="n">transformedData</span> <span class="k">=</span> <span class="n">transformer</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">)</span></code></pre></div>
</div>
<div data-lang="java">
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">com.google.common.collect.Lists</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.ml.feature.ElementwiseProduct</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vector</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.SQLContext</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.DataTypes</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.Metadata</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructField</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.StructType</span><span class="o">;</span>
<span class="c1">// Create some vector data; also works for sparse vectors</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">jrdd</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">Lists</span><span class="o">.</span><span class="na">newArrayList</span><span class="o">(</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="s">"a"</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="mf">1.0</span><span class="o">,</span> <span class="mf">2.0</span><span class="o">,</span> <span class="mf">3.0</span><span class="o">)),</span>
<span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="s">"b"</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="mf">4.0</span><span class="o">,</span> <span class="mf">5.0</span><span class="o">,</span> <span class="mf">6.0</span><span class="o">))</span>
<span class="o">));</span>
<span class="n">List</span><span class="o"><</span><span class="n">StructField</span><span class="o">></span> <span class="n">fields</span> <span class="o">=</span> <span class="k">new</span> <span class="n">ArrayList</span><span class="o"><</span><span class="n">StructField</span><span class="o">>(</span><span class="mi">2</span><span class="o">);</span>
<span class="n">fields</span><span class="o">.</span><span class="na">add</span><span class="o">(</span><span class="n">DataTypes</span><span class="o">.</span><span class="na">createStructField</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">StringType</span><span class="o">,</span> <span class="kc">false</span><span class="o">));</span>
<span class="n">fields</span><span class="o">.</span><span class="na">add</span><span class="o">(</span><span class="n">DataTypes</span><span class="o">.</span><span class="na">createStructField</span><span class="o">(</span><span class="s">"vector"</span><span class="o">,</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">StringType</span><span class="o">,</span> <span class="kc">false</span><span class="o">));</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="n">DataTypes</span><span class="o">.</span><span class="na">createStructType</span><span class="o">(</span><span class="n">fields</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">dataFrame</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">jrdd</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">Vector</span> <span class="n">transformingVector</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="mf">0.0</span><span class="o">,</span> <span class="mf">1.0</span><span class="o">,</span> <span class="mf">2.0</span><span class="o">);</span>
<span class="n">ElementwiseProduct</span> <span class="n">transformer</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">ElementwiseProduct</span><span class="o">()</span>
<span class="o">.</span><span class="na">setScalingVec</span><span class="o">(</span><span class="n">transformingVector</span><span class="o">)</span>
<span class="o">.</span><span class="na">setInputCol</span><span class="o">(</span><span class="s">"vector"</span><span class="o">)</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"transformedVector"</span><span class="o">);</span>
<span class="c1">// Batch transform the vectors to create new column:</span>
<span class="n">DataFrame</span> <span class="n">transformedData</span> <span class="o">=</span> <span class="n">transformer</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">dataFrame</span><span class="o">);</span></code></pre></div>
</div>
</div>
<h2 id="vectorassembler">VectorAssembler</h2>
<p><code>VectorAssembler</code> is a transformer that combines a given list of columns into a single vector
column.
It is useful for combining raw features and features generated by different feature transformers
into a single feature vector, in order to train ML models like logistic regression and decision
trees.
<code>VectorAssembler</code> accepts the following input column types: all numeric types, boolean type,
and vector type.
In each row, the values of the input columns will be concatenated into a vector in the specified
order.</p>
<p><strong>Examples</strong></p>
<p>Assume that we have a DataFrame with the columns <code>id</code>, <code>hour</code>, <code>mobile</code>, <code>userFeatures</code>,
and <code>clicked</code>:</p>
<pre><code> id | hour | mobile | userFeatures | clicked
----|------|--------|------------------|---------
0 | 18 | 1.0 | [0.0, 10.0, 0.5] | 1.0
</code></pre>
<p><code>userFeatures</code> is a vector column that contains three user features.
We want to combine <code>hour</code>, <code>mobile</code>, and <code>userFeatures</code> into a single feature vector
called <code>features</code> and use it to predict <code>clicked</code> or not.
If we set <code>VectorAssembler</code>’s input columns to <code>hour</code>, <code>mobile</code>, and <code>userFeatures</code> and
output column to <code>features</code>, after transformation we should get the following DataFrame:</p>
<pre><code> id | hour | mobile | userFeatures | clicked | features
----|------|--------|------------------|---------|-----------------------------
0 | 18 | 1.0 | [0.0, 10.0, 0.5] | 1.0 | [18.0, 1.0, 0.0, 10.0, 0.5]
</code></pre>
<div class="codetabs">
<div data-lang="scala">
<p><a href="api/scala/index.html#org.apache.spark.ml.feature.VectorAssembler"><code>VectorAssembler</code></a> takes an array
of input column names and an output column name.</p>
<div class="highlight"><pre><code class="language-scala" data-lang="scala"><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.ml.feature.VectorAssembler</span>
<span class="k">val</span> <span class="n">dataset</span> <span class="k">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="o">(</span>
<span class="nc">Seq</span><span class="o">((</span><span class="mi">0</span><span class="o">,</span> <span class="mi">18</span><span class="o">,</span> <span class="mf">1.0</span><span class="o">,</span> <span class="nc">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="o">(</span><span class="mf">0.0</span><span class="o">,</span> <span class="mf">10.0</span><span class="o">,</span> <span class="mf">0.5</span><span class="o">),</span> <span class="mf">1.0</span><span class="o">))</span>
<span class="o">).</span><span class="n">toDF</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="s">"hour"</span><span class="o">,</span> <span class="s">"mobile"</span><span class="o">,</span> <span class="s">"userFeatures"</span><span class="o">,</span> <span class="s">"clicked"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">assembler</span> <span class="k">=</span> <span class="k">new</span> <span class="nc">VectorAssembler</span><span class="o">()</span>
<span class="o">.</span><span class="n">setInputCols</span><span class="o">(</span><span class="nc">Array</span><span class="o">(</span><span class="s">"hour"</span><span class="o">,</span> <span class="s">"mobile"</span><span class="o">,</span> <span class="s">"userFeatures"</span><span class="o">))</span>
<span class="o">.</span><span class="n">setOutputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">output</span> <span class="k">=</span> <span class="n">assembler</span><span class="o">.</span><span class="n">transform</span><span class="o">(</span><span class="n">dataset</span><span class="o">)</span>
<span class="n">println</span><span class="o">(</span><span class="n">output</span><span class="o">.</span><span class="n">select</span><span class="o">(</span><span class="s">"features"</span><span class="o">,</span> <span class="s">"clicked"</span><span class="o">).</span><span class="n">first</span><span class="o">())</span></code></pre></div>
</div>
<div data-lang="java">
<p><a href="api/java/org/apache/spark/ml/feature/VectorAssembler.html"><code>VectorAssembler</code></a> takes an array
of input column names and an output column name.</p>
<div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">java.util.Arrays</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.mllib.linalg.VectorUDT</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.DataFrame</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.Row</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.RowFactory</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">org.apache.spark.sql.types.*</span><span class="o">;</span>
<span class="kn">import</span> <span class="nn">static</span> <span class="n">org</span><span class="o">.</span><span class="na">apache</span><span class="o">.</span><span class="na">spark</span><span class="o">.</span><span class="na">sql</span><span class="o">.</span><span class="na">types</span><span class="o">.</span><span class="na">DataTypes</span><span class="o">.*;</span>
<span class="n">StructType</span> <span class="n">schema</span> <span class="o">=</span> <span class="n">createStructType</span><span class="o">(</span><span class="k">new</span> <span class="n">StructField</span><span class="o">[]</span> <span class="o">{</span>
<span class="n">createStructField</span><span class="o">(</span><span class="s">"id"</span><span class="o">,</span> <span class="n">IntegerType</span><span class="o">,</span> <span class="kc">false</span><span class="o">),</span>
<span class="n">createStructField</span><span class="o">(</span><span class="s">"hour"</span><span class="o">,</span> <span class="n">IntegerType</span><span class="o">,</span> <span class="kc">false</span><span class="o">),</span>
<span class="n">createStructField</span><span class="o">(</span><span class="s">"mobile"</span><span class="o">,</span> <span class="n">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">),</span>
<span class="n">createStructField</span><span class="o">(</span><span class="s">"userFeatures"</span><span class="o">,</span> <span class="k">new</span> <span class="nf">VectorUDT</span><span class="o">(),</span> <span class="kc">false</span><span class="o">),</span>
<span class="n">createStructField</span><span class="o">(</span><span class="s">"clicked"</span><span class="o">,</span> <span class="n">DoubleType</span><span class="o">,</span> <span class="kc">false</span><span class="o">)</span>
<span class="o">});</span>
<span class="n">Row</span> <span class="n">row</span> <span class="o">=</span> <span class="n">RowFactory</span><span class="o">.</span><span class="na">create</span><span class="o">(</span><span class="mi">0</span><span class="o">,</span> <span class="mi">18</span><span class="o">,</span> <span class="mf">1.0</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="mf">0.0</span><span class="o">,</span> <span class="mf">10.0</span><span class="o">,</span> <span class="mf">0.5</span><span class="o">),</span> <span class="mf">1.0</span><span class="o">);</span>
<span class="n">JavaRDD</span><span class="o"><</span><span class="n">Row</span><span class="o">></span> <span class="n">rdd</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">Arrays</span><span class="o">.</span><span class="na">asList</span><span class="o">(</span><span class="n">row</span><span class="o">));</span>
<span class="n">DataFrame</span> <span class="n">dataset</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="na">createDataFrame</span><span class="o">(</span><span class="n">rdd</span><span class="o">,</span> <span class="n">schema</span><span class="o">);</span>
<span class="n">VectorAssembler</span> <span class="n">assembler</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">VectorAssembler</span><span class="o">()</span>
<span class="o">.</span><span class="na">setInputCols</span><span class="o">(</span><span class="k">new</span> <span class="n">String</span><span class="o">[]</span> <span class="o">{</span><span class="s">"hour"</span><span class="o">,</span> <span class="s">"mobile"</span><span class="o">,</span> <span class="s">"userFeatures"</span><span class="o">})</span>
<span class="o">.</span><span class="na">setOutputCol</span><span class="o">(</span><span class="s">"features"</span><span class="o">);</span>
<span class="n">DataFrame</span> <span class="n">output</span> <span class="o">=</span> <span class="n">assembler</span><span class="o">.</span><span class="na">transform</span><span class="o">(</span><span class="n">dataset</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="n">output</span><span class="o">.</span><span class="na">select</span><span class="o">(</span><span class="s">"features"</span><span class="o">,</span> <span class="s">"clicked"</span><span class="o">).</span><span class="na">first</span><span class="o">());</span></code></pre></div>
</div>
<div data-lang="python">
<p><a href="api/python/pyspark.ml.html#pyspark.ml.feature.VectorAssembler"><code>VectorAssembler</code></a> takes a list
of input column names and an output column name.</p>
<div class="highlight"><pre><code class="language-python" data-lang="python"><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.ml.feature</span> <span class="kn">import</span> <span class="n">VectorAssembler</span>
<span class="n">dataset</span> <span class="o">=</span> <span class="n">sqlContext</span><span class="o">.</span><span class="n">createDataFrame</span><span class="p">(</span>
<span class="p">[(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">18</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="n">Vectors</span><span class="o">.</span><span class="n">dense</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">10.0</span><span class="p">,</span> <span class="mf">0.5</span><span class="p">]),</span> <span class="mf">1.0</span><span class="p">)],</span>
<span class="p">[</span><span class="s">"id"</span><span class="p">,</span> <span class="s">"hour"</span><span class="p">,</span> <span class="s">"mobile"</span><span class="p">,</span> <span class="s">"userFeatures"</span><span class="p">,</span> <span class="s">"clicked"</span><span class="p">])</span>
<span class="n">assembler</span> <span class="o">=</span> <span class="n">VectorAssembler</span><span class="p">(</span>
<span class="n">inputCols</span><span class="o">=</span><span class="p">[</span><span class="s">"hour"</span><span class="p">,</span> <span class="s">"mobile"</span><span class="p">,</span> <span class="s">"userFeatures"</span><span class="p">],</span>
<span class="n">outputCol</span><span class="o">=</span><span class="s">"features"</span><span class="p">)</span>
<span class="n">output</span> <span class="o">=</span> <span class="n">assembler</span><span class="o">.</span><span class="n">transform</span><span class="p">(</span><span class="n">dataset</span><span class="p">)</span>
<span class="k">print</span><span class="p">(</span><span class="n">output</span><span class="o">.</span><span class="n">select</span><span class="p">(</span><span class="s">"features"</span><span class="p">,</span> <span class="s">"clicked"</span><span class="p">)</span><span class="o">.</span><span class="n">first</span><span class="p">())</span></code></pre></div>
</div>
</div>
<h1 id="feature-selectors">Feature Selectors</h1>
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