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The '''overlap coefficient''' is a similarity measure related to the [[Jaccard index]] that measures the overlap between two sets, and is defined as the size of the intersection divided by the smaller of the size of the two sets:
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:<math>\mathrm{overlap}(X,Y) = \frac{| X \cap Y | }{\min(|X|,|Y|)}</math>
 
If set ''X'' is a subset of ''Y'' or the converse then the overlap coefficient is equal to one.
 
== External links==
* Open Source [https://github.com/rockymadden/stringmetric/blob/master/core/src/main/scala/com/rockymadden/stringmetric/similarity/OverlapMetric.scala Overlap] [[Scala programming language|Scala]] implementation as part of the larger [http://rockymadden.com/stringmetric/ stringmetric project]
 
[[Category:Information retrieval]]
[[Category:String similarity measures]]
[[Category:Measure theory]]

Latest revision as of 13:46, 23 December 2014

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