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Fundamental Limits of Database Alignment

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arxiv 1805.03829 v1 pith:UHWNRS2U submitted 2018-05-10 cs.IT math.IT

Fundamental Limits of Database Alignment

classification cs.IT math.IT
keywords databasealgorithmalignmententriesinformationmeasureachievesadditionally
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the problem of aligning a pair of databases with correlated entries. We introduce a new measure of correlation in a joint distribution that we call cycle mutual information. This measure has operational significance: it determines whether exact recovery of the correspondence between database entries is possible for any algorithm. Additionally, there is an efficient algorithm for database alignment that achieves this information theoretic threshold.

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