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authorReynold Xin <rxin@apache.org>2015-11-09 23:54:32 +0000
committerReynold Xin <rxin@apache.org>2015-11-09 23:54:32 +0000
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+ <h1 class="title"><a href="mllib-guide.html">MLlib</a> - Collaborative Filtering</h1>
+
+
+ <ul id="markdown-toc">
+ <li><a href="#collaborative-filtering" id="markdown-toc-collaborative-filtering">Collaborative filtering</a> <ul>
+ <li><a href="#explicit-vs-implicit-feedback" id="markdown-toc-explicit-vs-implicit-feedback">Explicit vs. implicit feedback</a></li>
+ <li><a href="#scaling-of-the-regularization-parameter" id="markdown-toc-scaling-of-the-regularization-parameter">Scaling of the regularization parameter</a></li>
+ </ul>
+ </li>
+ <li><a href="#examples" id="markdown-toc-examples">Examples</a></li>
+ <li><a href="#tutorial" id="markdown-toc-tutorial">Tutorial</a></li>
+</ul>
+
+<h2 id="collaborative-filtering">Collaborative filtering</h2>
+
+<p><a href="http://en.wikipedia.org/wiki/Recommender_system#Collaborative_filtering">Collaborative filtering</a>
+is commonly used for recommender systems. These techniques aim to fill in the
+missing entries of a user-item association matrix. MLlib currently supports
+model-based collaborative filtering, in which users and products are described
+by a small set of latent factors that can be used to predict missing entries.
+MLlib uses the <a href="http://dl.acm.org/citation.cfm?id=1608614">alternating least squares
+(ALS)</a>
+algorithm to learn these latent factors. The implementation in MLlib has the
+following parameters:</p>
+
+<ul>
+ <li><em>numBlocks</em> is the number of blocks used to parallelize computation (set to -1 to auto-configure).</li>
+ <li><em>rank</em> is the number of latent factors in the model.</li>
+ <li><em>iterations</em> is the number of iterations to run.</li>
+ <li><em>lambda</em> specifies the regularization parameter in ALS.</li>
+ <li><em>implicitPrefs</em> specifies whether to use the <em>explicit feedback</em> ALS variant or one adapted for
+<em>implicit feedback</em> data.</li>
+ <li><em>alpha</em> is a parameter applicable to the implicit feedback variant of ALS that governs the
+<em>baseline</em> confidence in preference observations.</li>
+</ul>
+
+<h3 id="explicit-vs-implicit-feedback">Explicit vs. implicit feedback</h3>
+
+<p>The standard approach to matrix factorization based collaborative filtering treats
+the entries in the user-item matrix as <em>explicit</em> preferences given by the user to the item.</p>
+
+<p>It is common in many real-world use cases to only have access to <em>implicit feedback</em> (e.g. views,
+clicks, purchases, likes, shares etc.). The approach used in MLlib to deal with such data is taken
+from
+<a href="http://dx.doi.org/10.1109/ICDM.2008.22">Collaborative Filtering for Implicit Feedback Datasets</a>.
+Essentially instead of trying to model the matrix of ratings directly, this approach treats the data
+as a combination of binary preferences and <em>confidence values</em>. The ratings are then related to the
+level of confidence in observed user preferences, rather than explicit ratings given to items. The
+model then tries to find latent factors that can be used to predict the expected preference of a
+user for an item.</p>
+
+<h3 id="scaling-of-the-regularization-parameter">Scaling of the regularization parameter</h3>
+
+<p>Since v1.1, we scale the regularization parameter <code>lambda</code> in solving each least squares problem by
+the number of ratings the user generated in updating user factors,
+or the number of ratings the product received in updating product factors.
+This approach is named &#8220;ALS-WR&#8221; and discussed in the paper
+&#8220;<a href="http://dx.doi.org/10.1007/978-3-540-68880-8_32">Large-Scale Parallel Collaborative Filtering for the Netflix Prize</a>&#8221;.
+It makes <code>lambda</code> less dependent on the scale of the dataset.
+So we can apply the best parameter learned from a sampled subset to the full dataset
+and expect similar performance.</p>
+
+<h2 id="examples">Examples</h2>
+
+<div class="codetabs">
+
+<div data-lang="scala">
+ <p>In the following example we load rating data. Each row consists of a user, a product and a rating.
+We use the default <a href="api/scala/index.html#org.apache.spark.mllib.recommendation.ALS$">ALS.train()</a>
+method which assumes ratings are explicit. We evaluate the
+recommendation model by measuring the Mean Squared Error of rating prediction.</p>
+
+ <div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">import</span> <span class="nn">org.apache.spark.mllib.recommendation.ALS</span>
+<span class="k">import</span> <span class="nn">org.apache.spark.mllib.recommendation.MatrixFactorizationModel</span>
+<span class="k">import</span> <span class="nn">org.apache.spark.mllib.recommendation.Rating</span>
+
+<span class="c1">// Load and parse the data</span>
+<span class="k">val</span> <span class="n">data</span> <span class="k">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">textFile</span><span class="o">(</span><span class="s">&quot;data/mllib/als/test.data&quot;</span><span class="o">)</span>
+<span class="k">val</span> <span class="n">ratings</span> <span class="k">=</span> <span class="n">data</span><span class="o">.</span><span class="n">map</span><span class="o">(</span><span class="k">_</span><span class="o">.</span><span class="n">split</span><span class="o">(</span><span class="sc">&#39;,&#39;</span><span class="o">)</span> <span class="k">match</span> <span class="o">{</span> <span class="k">case</span> <span class="nc">Array</span><span class="o">(</span><span class="n">user</span><span class="o">,</span> <span class="n">item</span><span class="o">,</span> <span class="n">rate</span><span class="o">)</span> <span class="k">=&gt;</span>
+ <span class="nc">Rating</span><span class="o">(</span><span class="n">user</span><span class="o">.</span><span class="n">toInt</span><span class="o">,</span> <span class="n">item</span><span class="o">.</span><span class="n">toInt</span><span class="o">,</span> <span class="n">rate</span><span class="o">.</span><span class="n">toDouble</span><span class="o">)</span>
+ <span class="o">})</span>
+
+<span class="c1">// Build the recommendation model using ALS</span>
+<span class="k">val</span> <span class="n">rank</span> <span class="k">=</span> <span class="mi">10</span>
+<span class="k">val</span> <span class="n">numIterations</span> <span class="k">=</span> <span class="mi">10</span>
+<span class="k">val</span> <span class="n">model</span> <span class="k">=</span> <span class="nc">ALS</span><span class="o">.</span><span class="n">train</span><span class="o">(</span><span class="n">ratings</span><span class="o">,</span> <span class="n">rank</span><span class="o">,</span> <span class="n">numIterations</span><span class="o">,</span> <span class="mf">0.01</span><span class="o">)</span>
+
+<span class="c1">// Evaluate the model on rating data</span>
+<span class="k">val</span> <span class="n">usersProducts</span> <span class="k">=</span> <span class="n">ratings</span><span class="o">.</span><span class="n">map</span> <span class="o">{</span> <span class="k">case</span> <span class="nc">Rating</span><span class="o">(</span><span class="n">user</span><span class="o">,</span> <span class="n">product</span><span class="o">,</span> <span class="n">rate</span><span class="o">)</span> <span class="k">=&gt;</span>
+ <span class="o">(</span><span class="n">user</span><span class="o">,</span> <span class="n">product</span><span class="o">)</span>
+<span class="o">}</span>
+<span class="k">val</span> <span class="n">predictions</span> <span class="k">=</span>
+ <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="o">(</span><span class="n">usersProducts</span><span class="o">).</span><span class="n">map</span> <span class="o">{</span> <span class="k">case</span> <span class="nc">Rating</span><span class="o">(</span><span class="n">user</span><span class="o">,</span> <span class="n">product</span><span class="o">,</span> <span class="n">rate</span><span class="o">)</span> <span class="k">=&gt;</span>
+ <span class="o">((</span><span class="n">user</span><span class="o">,</span> <span class="n">product</span><span class="o">),</span> <span class="n">rate</span><span class="o">)</span>
+ <span class="o">}</span>
+<span class="k">val</span> <span class="n">ratesAndPreds</span> <span class="k">=</span> <span class="n">ratings</span><span class="o">.</span><span class="n">map</span> <span class="o">{</span> <span class="k">case</span> <span class="nc">Rating</span><span class="o">(</span><span class="n">user</span><span class="o">,</span> <span class="n">product</span><span class="o">,</span> <span class="n">rate</span><span class="o">)</span> <span class="k">=&gt;</span>
+ <span class="o">((</span><span class="n">user</span><span class="o">,</span> <span class="n">product</span><span class="o">),</span> <span class="n">rate</span><span class="o">)</span>
+<span class="o">}.</span><span class="n">join</span><span class="o">(</span><span class="n">predictions</span><span class="o">)</span>
+<span class="k">val</span> <span class="nc">MSE</span> <span class="k">=</span> <span class="n">ratesAndPreds</span><span class="o">.</span><span class="n">map</span> <span class="o">{</span> <span class="k">case</span> <span class="o">((</span><span class="n">user</span><span class="o">,</span> <span class="n">product</span><span class="o">),</span> <span class="o">(</span><span class="n">r1</span><span class="o">,</span> <span class="n">r2</span><span class="o">))</span> <span class="k">=&gt;</span>
+ <span class="k">val</span> <span class="n">err</span> <span class="k">=</span> <span class="o">(</span><span class="n">r1</span> <span class="o">-</span> <span class="n">r2</span><span class="o">)</span>
+ <span class="n">err</span> <span class="o">*</span> <span class="n">err</span>
+<span class="o">}.</span><span class="n">mean</span><span class="o">()</span>
+<span class="n">println</span><span class="o">(</span><span class="s">&quot;Mean Squared Error = &quot;</span> <span class="o">+</span> <span class="nc">MSE</span><span class="o">)</span>
+
+<span class="c1">// Save and load model</span>
+<span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="o">(</span><span class="n">sc</span><span class="o">,</span> <span class="s">&quot;myModelPath&quot;</span><span class="o">)</span>
+<span class="k">val</span> <span class="n">sameModel</span> <span class="k">=</span> <span class="nc">MatrixFactorizationModel</span><span class="o">.</span><span class="n">load</span><span class="o">(</span><span class="n">sc</span><span class="o">,</span> <span class="s">&quot;myModelPath&quot;</span><span class="o">)</span></code></pre></div>
+
+ <p>If the rating matrix is derived from another source of information (e.g., it is inferred from
+other signals), you can use the <code>trainImplicit</code> method to get better results.</p>
+
+ <div class="highlight"><pre><code class="language-scala" data-lang="scala"><span class="k">val</span> <span class="n">alpha</span> <span class="k">=</span> <span class="mf">0.01</span>
+<span class="k">val</span> <span class="n">lambda</span> <span class="k">=</span> <span class="mf">0.01</span>
+<span class="k">val</span> <span class="n">model</span> <span class="k">=</span> <span class="nc">ALS</span><span class="o">.</span><span class="n">trainImplicit</span><span class="o">(</span><span class="n">ratings</span><span class="o">,</span> <span class="n">rank</span><span class="o">,</span> <span class="n">numIterations</span><span class="o">,</span> <span class="n">lambda</span><span class="o">,</span> <span class="n">alpha</span><span class="o">)</span></code></pre></div>
+
+ </div>
+
+<div data-lang="java">
+ <p>All of MLlib&#8217;s methods use Java-friendly types, so you can import and call them there the same
+way you do in Scala. The only caveat is that the methods take Scala RDD objects, while the
+Spark Java API uses a separate <code>JavaRDD</code> class. You can convert a Java RDD to a Scala one by
+calling <code>.rdd()</code> on your <code>JavaRDD</code> object. A self-contained application example
+that is equivalent to the provided example in Scala is given bellow:</p>
+
+ <div class="highlight"><pre><code class="language-java" data-lang="java"><span class="kn">import</span> <span class="nn">scala.Tuple2</span><span class="o">;</span>
+
+<span class="kn">import</span> <span class="nn">org.apache.spark.api.java.*</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.api.java.function.Function</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.recommendation.ALS</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.recommendation.MatrixFactorizationModel</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.recommendation.Rating</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.SparkConf</span><span class="o">;</span>
+
+<span class="kd">public</span> <span class="kd">class</span> <span class="nc">CollaborativeFiltering</span> <span class="o">{</span>
+ <span class="kd">public</span> <span class="kd">static</span> <span class="kt">void</span> <span class="nf">main</span><span class="o">(</span><span class="n">String</span><span class="o">[]</span> <span class="n">args</span><span class="o">)</span> <span class="o">{</span>
+ <span class="n">SparkConf</span> <span class="n">conf</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">SparkConf</span><span class="o">().</span><span class="na">setAppName</span><span class="o">(</span><span class="s">&quot;Collaborative Filtering Example&quot;</span><span class="o">);</span>
+ <span class="n">JavaSparkContext</span> <span class="n">sc</span> <span class="o">=</span> <span class="k">new</span> <span class="nf">JavaSparkContext</span><span class="o">(</span><span class="n">conf</span><span class="o">);</span>
+
+ <span class="c1">// Load and parse the data</span>
+ <span class="n">String</span> <span class="n">path</span> <span class="o">=</span> <span class="s">&quot;data/mllib/als/test.data&quot;</span><span class="o">;</span>
+ <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">String</span><span class="o">&gt;</span> <span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="na">textFile</span><span class="o">(</span><span class="n">path</span><span class="o">);</span>
+ <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">Rating</span><span class="o">&gt;</span> <span class="n">ratings</span> <span class="o">=</span> <span class="n">data</span><span class="o">.</span><span class="na">map</span><span class="o">(</span>
+ <span class="k">new</span> <span class="n">Function</span><span class="o">&lt;</span><span class="n">String</span><span class="o">,</span> <span class="n">Rating</span><span class="o">&gt;()</span> <span class="o">{</span>
+ <span class="kd">public</span> <span class="n">Rating</span> <span class="nf">call</span><span class="o">(</span><span class="n">String</span> <span class="n">s</span><span class="o">)</span> <span class="o">{</span>
+ <span class="n">String</span><span class="o">[]</span> <span class="n">sarray</span> <span class="o">=</span> <span class="n">s</span><span class="o">.</span><span class="na">split</span><span class="o">(</span><span class="s">&quot;,&quot;</span><span class="o">);</span>
+ <span class="k">return</span> <span class="k">new</span> <span class="nf">Rating</span><span class="o">(</span><span class="n">Integer</span><span class="o">.</span><span class="na">parseInt</span><span class="o">(</span><span class="n">sarray</span><span class="o">[</span><span class="mi">0</span><span class="o">]),</span> <span class="n">Integer</span><span class="o">.</span><span class="na">parseInt</span><span class="o">(</span><span class="n">sarray</span><span class="o">[</span><span class="mi">1</span><span class="o">]),</span>
+ <span class="n">Double</span><span class="o">.</span><span class="na">parseDouble</span><span class="o">(</span><span class="n">sarray</span><span class="o">[</span><span class="mi">2</span><span class="o">]));</span>
+ <span class="o">}</span>
+ <span class="o">}</span>
+ <span class="o">);</span>
+
+ <span class="c1">// Build the recommendation model using ALS</span>
+ <span class="kt">int</span> <span class="n">rank</span> <span class="o">=</span> <span class="mi">10</span><span class="o">;</span>
+ <span class="kt">int</span> <span class="n">numIterations</span> <span class="o">=</span> <span class="mi">10</span><span class="o">;</span>
+ <span class="n">MatrixFactorizationModel</span> <span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="na">train</span><span class="o">(</span><span class="n">JavaRDD</span><span class="o">.</span><span class="na">toRDD</span><span class="o">(</span><span class="n">ratings</span><span class="o">),</span> <span class="n">rank</span><span class="o">,</span> <span class="n">numIterations</span><span class="o">,</span> <span class="mf">0.01</span><span class="o">);</span>
+
+ <span class="c1">// Evaluate the model on rating data</span>
+ <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Object</span><span class="o">,</span> <span class="n">Object</span><span class="o">&gt;&gt;</span> <span class="n">userProducts</span> <span class="o">=</span> <span class="n">ratings</span><span class="o">.</span><span class="na">map</span><span class="o">(</span>
+ <span class="k">new</span> <span class="n">Function</span><span class="o">&lt;</span><span class="n">Rating</span><span class="o">,</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Object</span><span class="o">,</span> <span class="n">Object</span><span class="o">&gt;&gt;()</span> <span class="o">{</span>
+ <span class="kd">public</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Object</span><span class="o">,</span> <span class="n">Object</span><span class="o">&gt;</span> <span class="nf">call</span><span class="o">(</span><span class="n">Rating</span> <span class="n">r</span><span class="o">)</span> <span class="o">{</span>
+ <span class="k">return</span> <span class="k">new</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Object</span><span class="o">,</span> <span class="n">Object</span><span class="o">&gt;(</span><span class="n">r</span><span class="o">.</span><span class="na">user</span><span class="o">(),</span> <span class="n">r</span><span class="o">.</span><span class="na">product</span><span class="o">());</span>
+ <span class="o">}</span>
+ <span class="o">}</span>
+ <span class="o">);</span>
+ <span class="n">JavaPairRDD</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;,</span> <span class="n">Double</span><span class="o">&gt;</span> <span class="n">predictions</span> <span class="o">=</span> <span class="n">JavaPairRDD</span><span class="o">.</span><span class="na">fromJavaRDD</span><span class="o">(</span>
+ <span class="n">model</span><span class="o">.</span><span class="na">predict</span><span class="o">(</span><span class="n">JavaRDD</span><span class="o">.</span><span class="na">toRDD</span><span class="o">(</span><span class="n">userProducts</span><span class="o">)).</span><span class="na">toJavaRDD</span><span class="o">().</span><span class="na">map</span><span class="o">(</span>
+ <span class="k">new</span> <span class="n">Function</span><span class="o">&lt;</span><span class="n">Rating</span><span class="o">,</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;,</span> <span class="n">Double</span><span class="o">&gt;&gt;()</span> <span class="o">{</span>
+ <span class="kd">public</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;,</span> <span class="n">Double</span><span class="o">&gt;</span> <span class="nf">call</span><span class="o">(</span><span class="n">Rating</span> <span class="n">r</span><span class="o">){</span>
+ <span class="k">return</span> <span class="k">new</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;,</span> <span class="n">Double</span><span class="o">&gt;(</span>
+ <span class="k">new</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;(</span><span class="n">r</span><span class="o">.</span><span class="na">user</span><span class="o">(),</span> <span class="n">r</span><span class="o">.</span><span class="na">product</span><span class="o">()),</span> <span class="n">r</span><span class="o">.</span><span class="na">rating</span><span class="o">());</span>
+ <span class="o">}</span>
+ <span class="o">}</span>
+ <span class="o">));</span>
+ <span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Double</span><span class="o">,</span> <span class="n">Double</span><span class="o">&gt;&gt;</span> <span class="n">ratesAndPreds</span> <span class="o">=</span>
+ <span class="n">JavaPairRDD</span><span class="o">.</span><span class="na">fromJavaRDD</span><span class="o">(</span><span class="n">ratings</span><span class="o">.</span><span class="na">map</span><span class="o">(</span>
+ <span class="k">new</span> <span class="n">Function</span><span class="o">&lt;</span><span class="n">Rating</span><span class="o">,</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;,</span> <span class="n">Double</span><span class="o">&gt;&gt;()</span> <span class="o">{</span>
+ <span class="kd">public</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;,</span> <span class="n">Double</span><span class="o">&gt;</span> <span class="nf">call</span><span class="o">(</span><span class="n">Rating</span> <span class="n">r</span><span class="o">){</span>
+ <span class="k">return</span> <span class="k">new</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;,</span> <span class="n">Double</span><span class="o">&gt;(</span>
+ <span class="k">new</span> <span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Integer</span><span class="o">,</span> <span class="n">Integer</span><span class="o">&gt;(</span><span class="n">r</span><span class="o">.</span><span class="na">user</span><span class="o">(),</span> <span class="n">r</span><span class="o">.</span><span class="na">product</span><span class="o">()),</span> <span class="n">r</span><span class="o">.</span><span class="na">rating</span><span class="o">());</span>
+ <span class="o">}</span>
+ <span class="o">}</span>
+ <span class="o">)).</span><span class="na">join</span><span class="o">(</span><span class="n">predictions</span><span class="o">).</span><span class="na">values</span><span class="o">();</span>
+ <span class="kt">double</span> <span class="n">MSE</span> <span class="o">=</span> <span class="n">JavaDoubleRDD</span><span class="o">.</span><span class="na">fromRDD</span><span class="o">(</span><span class="n">ratesAndPreds</span><span class="o">.</span><span class="na">map</span><span class="o">(</span>
+ <span class="k">new</span> <span class="n">Function</span><span class="o">&lt;</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Double</span><span class="o">,</span> <span class="n">Double</span><span class="o">&gt;,</span> <span class="n">Object</span><span class="o">&gt;()</span> <span class="o">{</span>
+ <span class="kd">public</span> <span class="n">Object</span> <span class="nf">call</span><span class="o">(</span><span class="n">Tuple2</span><span class="o">&lt;</span><span class="n">Double</span><span class="o">,</span> <span class="n">Double</span><span class="o">&gt;</span> <span class="n">pair</span><span class="o">)</span> <span class="o">{</span>
+ <span class="n">Double</span> <span class="n">err</span> <span class="o">=</span> <span class="n">pair</span><span class="o">.</span><span class="na">_1</span><span class="o">()</span> <span class="o">-</span> <span class="n">pair</span><span class="o">.</span><span class="na">_2</span><span class="o">();</span>
+ <span class="k">return</span> <span class="n">err</span> <span class="o">*</span> <span class="n">err</span><span class="o">;</span>
+ <span class="o">}</span>
+ <span class="o">}</span>
+ <span class="o">).</span><span class="na">rdd</span><span class="o">()).</span><span class="na">mean</span><span class="o">();</span>
+ <span class="n">System</span><span class="o">.</span><span class="na">out</span><span class="o">.</span><span class="na">println</span><span class="o">(</span><span class="s">&quot;Mean Squared Error = &quot;</span> <span class="o">+</span> <span class="n">MSE</span><span class="o">);</span>
+
+ <span class="c1">// Save and load model</span>
+ <span class="n">model</span><span class="o">.</span><span class="na">save</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">&quot;myModelPath&quot;</span><span class="o">);</span>
+ <span class="n">MatrixFactorizationModel</span> <span class="n">sameModel</span> <span class="o">=</span> <span class="n">MatrixFactorizationModel</span><span class="o">.</span><span class="na">load</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">&quot;myModelPath&quot;</span><span class="o">);</span>
+ <span class="o">}</span>
+<span class="o">}</span></code></pre></div>
+
+ </div>
+
+<div data-lang="python">
+ <p>In the following example we load rating data. Each row consists of a user, a product and a rating.
+We use the default ALS.train() method which assumes ratings are explicit. We evaluate the
+recommendation by measuring the Mean Squared Error of rating prediction.</p>
+
+ <div class="highlight"><pre><code class="language-python" data-lang="python"><span class="kn">from</span> <span class="nn">pyspark.mllib.recommendation</span> <span class="kn">import</span> <span class="n">ALS</span><span class="p">,</span> <span class="n">MatrixFactorizationModel</span><span class="p">,</span> <span class="n">Rating</span>
+
+<span class="c"># Load and parse the data</span>
+<span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">textFile</span><span class="p">(</span><span class="s">&quot;data/mllib/als/test.data&quot;</span><span class="p">)</span>
+<span class="n">ratings</span> <span class="o">=</span> <span class="n">data</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">l</span><span class="p">:</span> <span class="n">l</span><span class="o">.</span><span class="n">split</span><span class="p">(</span><span class="s">&#39;,&#39;</span><span class="p">))</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">l</span><span class="p">:</span> <span class="n">Rating</span><span class="p">(</span><span class="nb">int</span><span class="p">(</span><span class="n">l</span><span class="p">[</span><span class="mi">0</span><span class="p">]),</span> <span class="nb">int</span><span class="p">(</span><span class="n">l</span><span class="p">[</span><span class="mi">1</span><span class="p">]),</span> <span class="nb">float</span><span class="p">(</span><span class="n">l</span><span class="p">[</span><span class="mi">2</span><span class="p">])))</span>
+
+<span class="c"># Build the recommendation model using Alternating Least Squares</span>
+<span class="n">rank</span> <span class="o">=</span> <span class="mi">10</span>
+<span class="n">numIterations</span> <span class="o">=</span> <span class="mi">10</span>
+<span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">ratings</span><span class="p">,</span> <span class="n">rank</span><span class="p">,</span> <span class="n">numIterations</span><span class="p">)</span>
+
+<span class="c"># Evaluate the model on training data</span>
+<span class="n">testdata</span> <span class="o">=</span> <span class="n">ratings</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">p</span><span class="p">:</span> <span class="p">(</span><span class="n">p</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">p</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span>
+<span class="n">predictions</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predictAll</span><span class="p">(</span><span class="n">testdata</span><span class="p">)</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">r</span><span class="p">:</span> <span class="p">((</span><span class="n">r</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">r</span><span class="p">[</span><span class="mi">1</span><span class="p">]),</span> <span class="n">r</span><span class="p">[</span><span class="mi">2</span><span class="p">]))</span>
+<span class="n">ratesAndPreds</span> <span class="o">=</span> <span class="n">ratings</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">r</span><span class="p">:</span> <span class="p">((</span><span class="n">r</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">r</span><span class="p">[</span><span class="mi">1</span><span class="p">]),</span> <span class="n">r</span><span class="p">[</span><span class="mi">2</span><span class="p">]))</span><span class="o">.</span><span class="n">join</span><span class="p">(</span><span class="n">predictions</span><span class="p">)</span>
+<span class="n">MSE</span> <span class="o">=</span> <span class="n">ratesAndPreds</span><span class="o">.</span><span class="n">map</span><span class="p">(</span><span class="k">lambda</span> <span class="n">r</span><span class="p">:</span> <span class="p">(</span><span class="n">r</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">-</span> <span class="n">r</span><span class="p">[</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">])</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span><span class="o">.</span><span class="n">mean</span><span class="p">()</span>
+<span class="k">print</span><span class="p">(</span><span class="s">&quot;Mean Squared Error = &quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">MSE</span><span class="p">))</span>
+
+<span class="c"># Save and load model</span>
+<span class="n">model</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s">&quot;myModelPath&quot;</span><span class="p">)</span>
+<span class="n">sameModel</span> <span class="o">=</span> <span class="n">MatrixFactorizationModel</span><span class="o">.</span><span class="n">load</span><span class="p">(</span><span class="n">sc</span><span class="p">,</span> <span class="s">&quot;myModelPath&quot;</span><span class="p">)</span></code></pre></div>
+
+ <p>If the rating matrix is derived from other source of information (i.e., it is inferred from other
+signals), you can use the trainImplicit method to get better results.</p>
+
+ <div class="highlight"><pre><code class="language-python" data-lang="python"><span class="c"># Build the recommendation model using Alternating Least Squares based on implicit ratings</span>
+<span class="n">model</span> <span class="o">=</span> <span class="n">ALS</span><span class="o">.</span><span class="n">trainImplicit</span><span class="p">(</span><span class="n">ratings</span><span class="p">,</span> <span class="n">rank</span><span class="p">,</span> <span class="n">numIterations</span><span class="p">,</span> <span class="n">alpha</span><span class="o">=</span><span class="mf">0.01</span><span class="p">)</span></code></pre></div>
+
+ </div>
+
+</div>
+
+<p>In order to run the above application, follow the instructions
+provided in the <a href="quick-start.html#self-contained-applications">Self-Contained Applications</a>
+section of the Spark
+Quick Start guide. Be sure to also include <em>spark-mllib</em> to your build file as
+a dependency.</p>
+
+<h2 id="tutorial">Tutorial</h2>
+
+<p>The <a href="https://databricks-training.s3.amazonaws.com/index.html">training exercises</a> from the Spark Summit 2014 include a hands-on tutorial for
+<a href="https://databricks-training.s3.amazonaws.com/movie-recommendation-with-mllib.html">personalized movie recommendation with MLlib</a>.</p>
+
+
+ </div> <!-- /container -->
+
+ <script src="js/vendor/jquery-1.8.0.min.js"></script>
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