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<div class="subTitle">com.yahoo.sketches.theta</div>
<h2 title="Class JaccardSimilarity" class="title">Class JaccardSimilarity</h2>
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<pre>public final class <span class="typeNameLabel">JaccardSimilarity</span>
extends <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
<div class="block">Jaccard similarity of two Theta Sketches.</div>
<dl>
<dt><span class="simpleTagLabel">Author:</span></dt>
<dd>Lee Rhodes</dd>
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<td class="colOne"><code><span class="memberNameLink"><a href="../../../../com/yahoo/sketches/theta/JaccardSimilarity.html#JaccardSimilarity--">JaccardSimilarity</a></span>()</code>&nbsp;</td>
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<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/yahoo/sketches/theta/JaccardSimilarity.html#dissimilarityTest-com.yahoo.sketches.theta.Sketch-com.yahoo.sketches.theta.Sketch-double-">dissimilarityTest</a></span>(<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;measured,
<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;expected,
double&nbsp;threshold)</code>
<div class="block">Tests dissimilarity of a measured Sketch against an expected Sketch.</div>
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<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/yahoo/sketches/theta/JaccardSimilarity.html#exactlyEqual-com.yahoo.sketches.theta.Sketch-com.yahoo.sketches.theta.Sketch-">exactlyEqual</a></span>(<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;sketchA,
<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;sketchB)</code>
<div class="block">Returns true if the two given sketches have exactly the same hash values and the same
theta values.</div>
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<td class="colFirst"><code>static double[]</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/yahoo/sketches/theta/JaccardSimilarity.html#jaccard-com.yahoo.sketches.theta.Sketch-com.yahoo.sketches.theta.Sketch-">jaccard</a></span>(<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;sketchA,
<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;sketchB)</code>
<div class="block">Computes the Jaccard similarity ratio with upper and lower bounds.</div>
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<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../com/yahoo/sketches/theta/JaccardSimilarity.html#similarityTest-com.yahoo.sketches.theta.Sketch-com.yahoo.sketches.theta.Sketch-double-">similarityTest</a></span>(<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;measured,
<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;expected,
double&nbsp;threshold)</code>
<div class="block">Tests similarity of a measured Sketch against an expected Sketch.</div>
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<code><a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#clone--" title="class or interface in java.lang">clone</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#equals-java.lang.Object-" title="class or interface in java.lang">equals</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#finalize--" title="class or interface in java.lang">finalize</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#getClass--" title="class or interface in java.lang">getClass</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#hashCode--" title="class or interface in java.lang">hashCode</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notify--" title="class or interface in java.lang">notify</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#notifyAll--" title="class or interface in java.lang">notifyAll</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#toString--" title="class or interface in java.lang">toString</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait--" title="class or interface in java.lang">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait-long-" title="class or interface in java.lang">wait</a>, <a href="https://docs.oracle.com/javase/8/docs/api/java/lang/Object.html?is-external=true#wait-long-int-" title="class or interface in java.lang">wait</a></code></li>
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<h4>JaccardSimilarity</h4>
<pre>public&nbsp;JaccardSimilarity()</pre>
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<h4>jaccard</h4>
<pre>public static&nbsp;double[]&nbsp;jaccard(<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;sketchA,
<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;sketchB)</pre>
<div class="block">Computes the Jaccard similarity ratio with upper and lower bounds. The Jaccard similarity ratio
<i>J(A,B) = (A ^ B)/(A U B)</i> is used to measure how similar the two sketches are to each
other. If J = 1.0, the sketches are considered equal. If J = 0, the two sketches are
distinct from each other. A Jaccard of .95 means the overlap between the two
populations is 95% of the union of the two populations.
<p>Note: For very large pairs of sketches, where the configured nominal entries of the sketches
are 2^25 or 2^26, this method may produce unpredictable results.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>sketchA</code> - given sketch A</dd>
<dd><code>sketchB</code> - given sketch B</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>a double array {LowerBound, Estimate, UpperBound} of the Jaccard ratio.
The Upper and Lower bounds are for a confidence interval of 95.4% or +/- 2 standard deviations.</dd>
</dl>
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<h4>exactlyEqual</h4>
<pre>public static&nbsp;boolean&nbsp;exactlyEqual(<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;sketchA,
<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;sketchB)</pre>
<div class="block">Returns true if the two given sketches have exactly the same hash values and the same
theta values. Thus, they are equivalent.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>sketchA</code> - the given sketch A</dd>
<dd><code>sketchB</code> - the given sketch B</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>true if the two given sketches have exactly the same hash values and the same
theta values.</dd>
</dl>
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<h4>similarityTest</h4>
<pre>public static&nbsp;boolean&nbsp;similarityTest(<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;measured,
<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;expected,
double&nbsp;threshold)</pre>
<div class="block">Tests similarity of a measured Sketch against an expected Sketch.
Computes the lower bound of the Jaccard ratio <i>J<sub>LB</sub></i> of the measured and
expected sketches.
if <i>J<sub>LB</sub> &ge; threshold</i>, then the sketches are considered to be
similar with a confidence of 97.7%.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>measured</code> - the sketch to be tested</dd>
<dd><code>expected</code> - the reference sketch that is considered to be correct.</dd>
<dd><code>threshold</code> - a real value between zero and one.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>if true, the similarity of the two sketches is greater than the given threshold
with at least 97.7% confidence.</dd>
</dl>
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<h4>dissimilarityTest</h4>
<pre>public static&nbsp;boolean&nbsp;dissimilarityTest(<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;measured,
<a href="../../../../com/yahoo/sketches/theta/Sketch.html" title="class in com.yahoo.sketches.theta">Sketch</a>&nbsp;expected,
double&nbsp;threshold)</pre>
<div class="block">Tests dissimilarity of a measured Sketch against an expected Sketch.
Computes the upper bound of the Jaccard ratio <i>J<sub>LB</sub></i> of the measured and
expected sketches.
if <i>J<sub>UB</sub> &le; threshold</i>, then the sketches are considered to be
dissimilar with a confidence of 97.7%.</div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>measured</code> - the sketch to be tested</dd>
<dd><code>expected</code> - the reference sketch that is considered to be correct.</dd>
<dd><code>threshold</code> - a real value between zero and one.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>if true, the dissimilarity of the two sketches is greater than the given threshold
with at least 97.7% confidence.</dd>
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