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authorPatrick Wendell <pwendell@apache.org>2014-07-11 17:23:23 +0000
committerPatrick Wendell <pwendell@apache.org>2014-07-11 17:23:23 +0000
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+
+ <h1 class="title"><a href="mllib-guide.html">MLlib</a> - Naive Bayes</h1>
+
+
+ <p>Naive Bayes is a simple multiclass classification algorithm with the assumption of independence
+between every pair of features. Naive Bayes can be trained very efficiently. Within a single pass to
+the training data, it computes the conditional probability distribution of each feature given label,
+and then it applies Bayes&#8217; theorem to compute the conditional probability distribution of label
+given an observation and use it for prediction. For more details, please visit the Wikipedia page
+<a href="http://en.wikipedia.org/wiki/Naive_Bayes_classifier">Naive Bayes classifier</a>.</p>
+
+<p>In MLlib, we implemented multinomial naive Bayes, which is typically used for document
+classification. Within that context, each observation is a document, each feature represents a term,
+whose value is the frequency of the term. For its formulation, please visit the Wikipedia page
+<a href="http://en.wikipedia.org/wiki/Naive_Bayes_classifier#Multinomial_naive_Bayes">Multinomial Naive Bayes</a>
+or the section
+<a href="http://nlp.stanford.edu/IR-book/html/htmledition/naive-bayes-text-classification-1.html">Naive Bayes text classification</a>
+from the book Introduction to Information
+Retrieval. <a href="http://en.wikipedia.org/wiki/Lidstone_smoothing">Additive smoothing</a> can be used by
+setting the parameter $\lambda$ (default to $1.0$). For document classification, the input feature
+vectors are usually sparse. Please supply sparse vectors as input to take advantage of
+sparsity. Since the training data is only used once, it is not necessary to cache it.</p>
+
+<h2 id="examples">Examples</h2>
+
+<div class="codetabs">
+<div data-lang="scala">
+
+ <p><a href="api/scala/index.html#org.apache.spark.mllib.classification.NaiveBayes$">NaiveBayes</a> implements
+multinomial naive Bayes. It takes an RDD of
+<a href="api/scala/index.html#org.apache.spark.mllib.regression.LabeledPoint">LabeledPoint</a> and an optional
+smoothing parameter <code>lambda</code> as input, and output a
+<a href="api/scala/index.html#org.apache.spark.mllib.classification.NaiveBayesModel">NaiveBayesModel</a>, which
+can be used for evaluation and prediction.</p>
+
+ <div class="highlight"><pre><code class="scala"><span class="k">import</span> <span class="nn">org.apache.spark.mllib.classification.NaiveBayes</span>
+<span class="k">import</span> <span class="nn">org.apache.spark.mllib.linalg.Vectors</span>
+<span class="k">import</span> <span class="nn">org.apache.spark.mllib.regression.LabeledPoint</span>
+
+<span class="k">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;mllib/data/sample_naive_bayes_data.txt&quot;</span><span class="o">)</span>
+<span class="k">val</span> <span class="n">parsedData</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="n">line</span> <span class="k">=&gt;</span>
+ <span class="k">val</span> <span class="n">parts</span> <span class="k">=</span> <span class="n">line</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="nc">LabeledPoint</span><span class="o">(</span><span class="n">parts</span><span class="o">(</span><span class="mi">0</span><span class="o">).</span><span class="n">toDouble</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">parts</span><span class="o">(</span><span class="mi">1</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="n">map</span><span class="o">(</span><span class="k">_</span><span class="o">.</span><span class="n">toDouble</span><span class="o">)))</span>
+<span class="o">}</span>
+<span class="c1">// Split data into training (60%) and test (40%).</span>
+<span class="k">val</span> <span class="n">splits</span> <span class="k">=</span> <span class="n">parsedData</span><span class="o">.</span><span class="n">randomSplit</span><span class="o">(</span><span class="nc">Array</span><span class="o">(</span><span class="mf">0.6</span><span class="o">,</span> <span class="mf">0.4</span><span class="o">),</span> <span class="n">seed</span> <span class="k">=</span> <span class="mi">11L</span><span class="o">)</span>
+<span class="k">val</span> <span class="n">training</span> <span class="k">=</span> <span class="n">splits</span><span class="o">(</span><span class="mi">0</span><span class="o">)</span>
+<span class="k">val</span> <span class="n">test</span> <span class="k">=</span> <span class="n">splits</span><span class="o">(</span><span class="mi">1</span><span class="o">)</span>
+
+<span class="k">val</span> <span class="n">model</span> <span class="k">=</span> <span class="nc">NaiveBayes</span><span class="o">.</span><span class="n">train</span><span class="o">(</span><span class="n">training</span><span class="o">,</span> <span class="n">lambda</span> <span class="k">=</span> <span class="mf">1.0</span><span class="o">)</span>
+<span class="k">val</span> <span class="n">prediction</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">test</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">features</span><span class="o">))</span>
+
+<span class="k">val</span> <span class="n">predictionAndLabel</span> <span class="k">=</span> <span class="n">prediction</span><span class="o">.</span><span class="n">zip</span><span class="o">(</span><span class="n">test</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">label</span><span class="o">))</span>
+<span class="k">val</span> <span class="n">accuracy</span> <span class="k">=</span> <span class="mf">1.0</span> <span class="o">*</span> <span class="n">predictionAndLabel</span><span class="o">.</span><span class="n">filter</span><span class="o">(</span><span class="n">x</span> <span class="k">=&gt;</span> <span class="n">x</span><span class="o">.</span><span class="n">_1</span> <span class="o">==</span> <span class="n">x</span><span class="o">.</span><span class="n">_2</span><span class="o">).</span><span class="n">count</span><span class="o">()</span> <span class="o">/</span> <span class="n">test</span><span class="o">.</span><span class="n">count</span><span class="o">()</span>
+</code></pre></div>
+
+ </div>
+
+<div data-lang="java">
+
+ <p><a href="api/java/org/apache/spark/mllib/classification/NaiveBayes.html">NaiveBayes</a> implements
+multinomial naive Bayes. It takes a Scala RDD of
+<a href="api/java/org/apache/spark/mllib/regression/LabeledPoint.html">LabeledPoint</a> and an
+optionally smoothing parameter <code>lambda</code> as input, and output a
+<a href="api/java/org/apache/spark/mllib/classification/NaiveBayesModel.html">NaiveBayesModel</a>, which
+can be used for evaluation and prediction.</p>
+
+ <div class="highlight"><pre><code class="java"><span class="kn">import</span> <span class="nn">org.apache.spark.api.java.JavaPairRDD</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.api.java.JavaRDD</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.api.java.function.Function</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.classification.NaiveBayes</span><span class="o">;</span>
+<span class="kn">import</span> <span class="nn">org.apache.spark.mllib.classification.NaiveBayesModel</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">scala.Tuple2</span><span class="o">;</span>
+
+<span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">LabeledPoint</span><span class="o">&gt;</span> <span class="n">training</span> <span class="o">=</span> <span class="o">...</span> <span class="c1">// training set</span>
+<span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">LabeledPoint</span><span class="o">&gt;</span> <span class="n">test</span> <span class="o">=</span> <span class="o">...</span> <span class="c1">// test set</span>
+
+<span class="kd">final</span> <span class="n">NaiveBayesModel</span> <span class="n">model</span> <span class="o">=</span> <span class="n">NaiveBayes</span><span class="o">.</span><span class="na">train</span><span class="o">(</span><span class="n">training</span><span class="o">.</span><span class="na">rdd</span><span class="o">(),</span> <span class="mf">1.0</span><span class="o">);</span>
+
+<span class="n">JavaRDD</span><span class="o">&lt;</span><span class="n">Double</span><span class="o">&gt;</span> <span class="n">prediction</span> <span class="o">=</span>
+ <span class="n">test</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">LabeledPoint</span><span class="o">,</span> <span class="n">Double</span><span class="o">&gt;()</span> <span class="o">{</span>
+ <span class="nd">@Override</span> <span class="kd">public</span> <span class="n">Double</span> <span class="n">call</span><span class="o">(</span><span class="n">LabeledPoint</span> <span class="n">p</span><span class="o">)</span> <span class="o">{</span>
+ <span class="k">return</span> <span class="n">model</span><span class="o">.</span><span class="na">predict</span><span class="o">(</span><span class="n">p</span><span class="o">.</span><span class="na">features</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">Double</span><span class="o">,</span> <span class="n">Double</span><span class="o">&gt;</span> <span class="n">predictionAndLabel</span> <span class="o">=</span>
+ <span class="n">prediction</span><span class="o">.</span><span class="na">zip</span><span class="o">(</span><span class="n">test</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">LabeledPoint</span><span class="o">,</span> <span class="n">Double</span><span class="o">&gt;()</span> <span class="o">{</span>
+ <span class="nd">@Override</span> <span class="kd">public</span> <span class="n">Double</span> <span class="n">call</span><span class="o">(</span><span class="n">LabeledPoint</span> <span class="n">p</span><span class="o">)</span> <span class="o">{</span>
+ <span class="k">return</span> <span class="n">p</span><span class="o">.</span><span class="na">label</span><span class="o">();</span>
+ <span class="o">}</span>
+ <span class="o">}));</span>
+<span class="kt">double</span> <span class="n">accuracy</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">*</span> <span class="n">predictionAndLabel</span><span class="o">.</span><span class="na">filter</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">Boolean</span><span class="o">&gt;()</span> <span class="o">{</span>
+ <span class="nd">@Override</span> <span class="kd">public</span> <span class="n">Boolean</span> <span class="n">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">pl</span><span class="o">)</span> <span class="o">{</span>
+ <span class="k">return</span> <span class="n">pl</span><span class="o">.</span><span class="na">_1</span><span class="o">()</span> <span class="o">==</span> <span class="n">pl</span><span class="o">.</span><span class="na">_2</span><span class="o">();</span>
+ <span class="o">}</span>
+ <span class="o">}).</span><span class="na">count</span><span class="o">()</span> <span class="o">/</span> <span class="n">test</span><span class="o">.</span><span class="na">count</span><span class="o">();</span>
+</code></pre></div>
+
+ </div>
+
+<div data-lang="python">
+
+ <p><a href="api/python/pyspark.mllib.classification.NaiveBayes-class.html">NaiveBayes</a> implements multinomial
+naive Bayes. It takes an RDD of
+<a href="api/python/pyspark.mllib.regression.LabeledPoint-class.html">LabeledPoint</a> and an optionally
+smoothing parameter <code>lambda</code> as input, and output a
+<a href="api/python/pyspark.mllib.classification.NaiveBayesModel-class.html">NaiveBayesModel</a>, which can be
+used for evaluation and prediction.</p>
+
+ <!-- TODO: Make Python's example consistent with Scala's and Java's. -->
+
+ <div class="highlight"><pre><code class="python"><span class="kn">from</span> <span class="nn">pyspark.mllib.regression</span> <span class="kn">import</span> <span class="n">LabeledPoint</span>
+<span class="kn">from</span> <span class="nn">pyspark.mllib.classification</span> <span class="kn">import</span> <span class="n">NaiveBayes</span>
+
+<span class="c"># an RDD of LabeledPoint</span>
+<span class="n">data</span> <span class="o">=</span> <span class="n">sc</span><span class="o">.</span><span class="n">parallelize</span><span class="p">([</span>
+ <span class="n">LabeledPoint</span><span class="p">(</span><span class="mf">0.0</span><span class="p">,</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="o">...</span> <span class="c"># more labeled points</span>
+<span class="p">])</span>
+
+<span class="c"># Train a naive Bayes model.</span>
+<span class="n">model</span> <span class="o">=</span> <span class="n">NaiveBayes</span><span class="o">.</span><span class="n">train</span><span class="p">(</span><span class="n">data</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">)</span>
+
+<span class="c"># Make prediction.</span>
+<span class="n">prediction</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="p">([</span><span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">])</span>
+</code></pre></div>
+
+ </div>
+</div>
+
+
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