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            <h1 class="title">Machine Learning Library (MLlib)</h1>
          

          <p>MLlib is Spark&#8217;s scalable machine learning library consisting of common learning algorithms and utilities,
including classification, regression, clustering, collaborative
filtering, dimensionality reduction, as well as underlying optimization primitives, as outlined below:</p>

<ul>
  <li><a href="mllib-data-types.html">Data types</a></li>
  <li><a href="mllib-statistics.html">Basic statistics</a>
    <ul>
      <li>summary statistics</li>
      <li>correlations</li>
      <li>stratified sampling</li>
      <li>hypothesis testing</li>
      <li>random data generation  </li>
    </ul>
  </li>
  <li><a href="mllib-classification-regression.html">Classification and regression</a>
    <ul>
      <li><a href="mllib-linear-methods.html">linear models (SVMs, logistic regression, linear regression)</a></li>
      <li><a href="mllib-decision-tree.html">decision trees</a></li>
      <li><a href="mllib-naive-bayes.html">naive Bayes</a></li>
    </ul>
  </li>
  <li><a href="mllib-collaborative-filtering.html">Collaborative filtering</a>
    <ul>
      <li>alternating least squares (ALS)</li>
    </ul>
  </li>
  <li><a href="mllib-clustering.html">Clustering</a>
    <ul>
      <li>k-means</li>
    </ul>
  </li>
  <li><a href="mllib-dimensionality-reduction.html">Dimensionality reduction</a>
    <ul>
      <li>singular value decomposition (SVD)</li>
      <li>principal component analysis (PCA)</li>
    </ul>
  </li>
  <li><a href="mllib-feature-extraction.html">Feature extraction and transformation</a></li>
  <li><a href="mllib-optimization.html">Optimization (developer)</a>
    <ul>
      <li>stochastic gradient descent</li>
      <li>limited-memory BFGS (L-BFGS)</li>
    </ul>
  </li>
</ul>

<p>MLlib is under active development.
The APIs marked <code>Experimental</code>/<code>DeveloperApi</code> may change in future releases, 
and the migration guide below will explain all changes between releases.</p>

<h1 id="dependencies">Dependencies</h1>

<p>MLlib uses the linear algebra package <a href="http://www.scalanlp.org/">Breeze</a>,
which depends on <a href="https://github.com/fommil/netlib-java">netlib-java</a>,
and <a href="https://github.com/mikiobraun/jblas">jblas</a>. 
<code>netlib-java</code> and <code>jblas</code> depend on native Fortran routines.
You need to install the
<a href="https://github.com/mikiobraun/jblas/wiki/Missing-Libraries">gfortran runtime library</a>
if it is not already present on your nodes.
MLlib will throw a linking error if it cannot detect these libraries automatically.
Due to license issues, we do not include <code>netlib-java</code>&#8217;s native libraries in MLlib&#8217;s
dependency set under default settings.
If no native library is available at runtime, you will see a warning message.
To use native libraries from <code>netlib-java</code>, please build Spark with <code>-Pnetlib-lgpl</code> or
include <code>com.github.fommil.netlib:all:1.1.2</code> as a dependency of your project.
If you want to use optimized BLAS/LAPACK libraries such as
<a href="http://www.openblas.net/">OpenBLAS</a>, please link its shared libraries to
<code>/usr/lib/libblas.so.3</code> and <code>/usr/lib/liblapack.so.3</code>, respectively.
BLAS/LAPACK libraries on worker nodes should be built without multithreading.</p>

<p>To use MLlib in Python, you will need <a href="http://www.numpy.org">NumPy</a> version 1.4 or newer.</p>

<hr />

<h1 id="migration-guide">Migration Guide</h1>

<h2 id="from-10-to-11">From 1.0 to 1.1</h2>

<p>The only API changes in MLlib v1.1 are in
<a href="api/scala/index.html#org.apache.spark.mllib.tree.DecisionTree"><code>DecisionTree</code></a>,
which continues to be an experimental API in MLlib 1.1:</p>

<ol>
  <li>
    <p><em>(Breaking change)</em> The meaning of tree depth has been changed by 1 in order to match
the implementations of trees in
<a href="http://scikit-learn.org/stable/modules/classes.html#module-sklearn.tree">scikit-learn</a>
and in <a href="http://cran.r-project.org/web/packages/rpart/index.html">rpart</a>.
In MLlib v1.0, a depth-1 tree had 1 leaf node, and a depth-2 tree had 1 root node and 2 leaf nodes.
In MLlib v1.1, a depth-0 tree has 1 leaf node, and a depth-1 tree has 1 root node and 2 leaf nodes.
This depth is specified by the <code>maxDepth</code> parameter in
<a href="api/scala/index.html#org.apache.spark.mllib.tree.configuration.Strategy"><code>Strategy</code></a>
or via <a href="api/scala/index.html#org.apache.spark.mllib.tree.DecisionTree"><code>DecisionTree</code></a>
static <code>trainClassifier</code> and <code>trainRegressor</code> methods.</p>
  </li>
  <li>
    <p><em>(Non-breaking change)</em> We recommend using the newly added <code>trainClassifier</code> and <code>trainRegressor</code>
methods to build a <a href="api/scala/index.html#org.apache.spark.mllib.tree.DecisionTree"><code>DecisionTree</code></a>,
rather than using the old parameter class <code>Strategy</code>.  These new training methods explicitly
separate classification and regression, and they replace specialized parameter types with
simple <code>String</code> types.</p>
  </li>
</ol>

<p>Examples of the new, recommended <code>trainClassifier</code> and <code>trainRegressor</code> are given in the
<a href="mllib-decision-tree.html#examples">Decision Trees Guide</a>.</p>

<h2 id="from-09-to-10">From 0.9 to 1.0</h2>

<p>In MLlib v1.0, we support both dense and sparse input in a unified way, which introduces a few
breaking changes.  If your data is sparse, please store it in a sparse format instead of dense to
take advantage of sparsity in both storage and computation. Details are described below.</p>

<div class="codetabs">
<div data-lang="scala">

    <p>We used to represent a feature vector by <code>Array[Double]</code>, which is replaced by
<a href="api/scala/index.html#org.apache.spark.mllib.linalg.Vector"><code>Vector</code></a> in v1.0. Algorithms that used
to accept <code>RDD[Array[Double]]</code> now take
<code>RDD[Vector]</code>. <a href="api/scala/index.html#org.apache.spark.mllib.regression.LabeledPoint"><code>LabeledPoint</code></a>
is now a wrapper of <code>(Double, Vector)</code> instead of <code>(Double, Array[Double])</code>. Converting
<code>Array[Double]</code> to <code>Vector</code> is straightforward:</p>

    <div class="highlight"><pre><code class="scala"><span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.</span><span class="o">{</span><span class="nc">Vector</span><span class="o">,</span> <span class="nc">Vectors</span><span class="o">}</span>

<span class="k">val</span> <span class="n">array</span><span class="k">:</span> <span class="kt">Array</span><span class="o">[</span><span class="kt">Double</span><span class="o">]</span> <span class="k">=</span> <span class="o">...</span> <span class="c1">// a double array</span>
<span class="k">val</span> <span class="n">vector</span><span class="k">:</span> <span class="kt">Vector</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="n">array</span><span class="o">)</span> <span class="c1">// a dense vector</span>
</code></pre></div>

    <p><a href="api/scala/index.html#org.apache.spark.mllib.linalg.Vectors$"><code>Vectors</code></a> provides factory methods to create sparse vectors.</p>

    <p><em>Note</em>: Scala imports <code>scala.collection.immutable.Vector</code> by default, so you have to import <code>org.apache.spark.mllib.linalg.Vector</code> explicitly to use MLlib&#8217;s <code>Vector</code>.</p>

  </div>

<div data-lang="java">

    <p>We used to represent a feature vector by <code>double[]</code>, which is replaced by
<a href="api/java/index.html?org/apache/spark/mllib/linalg/Vector.html"><code>Vector</code></a> in v1.0. Algorithms that used
to accept <code>RDD&lt;double[]&gt;</code> now take
<code>RDD&lt;Vector&gt;</code>. <a href="api/java/index.html?org/apache/spark/mllib/regression/LabeledPoint.html"><code>LabeledPoint</code></a>
is now a wrapper of <code>(double, Vector)</code> instead of <code>(double, double[])</code>. Converting <code>double[]</code> to
<code>Vector</code> is straightforward:</p>

    <div class="highlight"><pre><code class="java"><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="kt">double</span><span class="o">[]</span> <span class="n">array</span> <span class="o">=</span> <span class="o">...</span> <span class="c1">// a double array</span>
<span class="n">Vector</span> <span class="n">vector</span> <span class="o">=</span> <span class="n">Vectors</span><span class="o">.</span><span class="na">dense</span><span class="o">(</span><span class="n">array</span><span class="o">);</span> <span class="c1">// a dense vector</span>
</code></pre></div>

    <p><a href="api/scala/index.html#org.apache.spark.mllib.linalg.Vectors$"><code>Vectors</code></a> provides factory methods to
create sparse vectors.</p>

  </div>

<div data-lang="python">

    <p>We used to represent a labeled feature vector in a NumPy array, where the first entry corresponds to
the label and the rest are features.  This representation is replaced by class
<a href="api/python/pyspark.mllib.regression.LabeledPoint-class.html"><code>LabeledPoint</code></a>, which takes both
dense and sparse feature vectors.</p>

    <div class="highlight"><pre><code class="python"><span class="kn">from</span> <span class="nn">pyspark.mllib.linalg</span> <span class="kn">import</span> <span class="n">SparseVector</span>
<span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>

<span class="c"># Create a labeled point with a positive label and a dense feature vector.</span>
<span class="n">pos</span> <span class="o">=</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">])</span>

<span class="c"># Create a labeled point with a negative label and a sparse feature vector.</span>
<span class="n">neg</span> <span class="o">=</span> <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</span> <span class="n">SparseVector</span><span class="p">(</span><span class="mi">3</span><span class="p">,</span> <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.0</span><span class="p">,</span> <span class="mf">3.0</span><span class="p">]))</span>
</code></pre></div>

  </div>
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