Optimal Rate-Distortion-Leakage Tradeoff for Single-Server Information Retrieval

Document Type

Conference Proceeding

Publication Date

7-12-2021

Abstract

Private information retrieval protocols guarantee that a user can privately and losslessly retrieve a single file from a database stored across multiple servers. In this work, we propose to simultaneously relax the conditions of perfect retrievability and privacy in order to obtain improved download rates in the single server scenario, i.e., all files are stored uncoded on a single server. In particular, we derive the optimal tradeoff between download rate, distortion, and information leakage when the file size is infinite and the information leakage is measured in terms of the average success probability for the server of correctly guessing the identity of the requested file. Moreover, we present a novel approach based on linear programming to construct schemes for a finite file size and an arbitrary number of files. When the database contains at most four bits, this approach can be leveraged to find provably optimal schemes.

Identifier

85115104019 (Scopus)

ISBN

[9781538682098]

Publication Title

IEEE International Symposium on Information Theory Proceedings

External Full Text Location

https://doi.org/10.1109/ISIT45174.2021.9518235

ISSN

21578095

First Page

2262

Last Page

2267

Volume

2021-July

Grant

1815322

Fund Ref

National Science Foundation

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