Fundamental Limits of Database Alignment
Information Theory
2018-05-11 v1 math.IT
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.
Cite
@article{arxiv.1805.03829,
title = {Fundamental Limits of Database Alignment},
author = {Daniel Cullina and Prateek Mittal and Negar Kiyavash},
journal= {arXiv preprint arXiv:1805.03829},
year = {2018}
}
Comments
5 pages, ISIT 2018