Fundamental Limits of Database Alignment

May 10, 2018 Β· Declared Dead Β· πŸ› International Symposium on Information Theory

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Authors Daniel Cullina, Prateek Mittal, Negar Kiyavash arXiv ID 1805.03829 Category cs.IT: Information Theory Citations 42 Venue International Symposium on Information Theory Last Checked 6 months ago
Abstract
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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