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Interactive Communication for Data Exchange

Tyagi, Himanshu and Viswanath, Pramod and Watanabe, Shun (2015) Interactive Communication for Data Exchange. In: IEEE International Symposium on Information Theory (ISIT), JUN 14-19, 2015, Hong Kong, PEOPLES R CHINA, pp. 1806-1810.

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Official URL: http://dx.doi.org/10.1109/ISIT.2015.7282767

Abstract

Two parties observing correlated data seek to exchange their data using interactive communication. How many bits must they communicate? We derive a lower bound on the minimum number of bits that is based on relating the data exchange problem to the secret key agreement problem. Furthermore, we propose an interactive protocol for data exchange which increases the communication size in steps until the task is done and matches the performance of our lower bound. Our single-shot analysis applies to all discrete random variables and yields upper and lower bound of a similar form. In fact, the bounds are asymptotically tight and lead to a characterization of the optimal rate of communication needed for data exchange for a general sequence such as mixture of IID random variables as well as the optimal second-order asymptotic term in the length of communication needed for data exchange for the IID random variables, when the probability of error is fixed. This gives a precise characterization of the asymptotic reduction in the length of optimal communication due to interaction; in particular, two-sided Slepian-Wolf compression is strictly suboptimal.

Item Type: Conference Proceedings
Additional Information: Copy right for this article belongs to the IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Depositing User: Id for Latest eprints
Date Deposited: 07 Dec 2016 05:45
Last Modified: 07 Dec 2016 05:45
URI: http://eprints.iisc.ac.in/id/eprint/55511

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