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In this paper, we study the problem of private information retrieval (PIR) in both graph-based and multigraph-based replication systems, where each file is stored on exactly two servers, and any pair of servers shares at most $r$ files. We…

Information Theory · Computer Science 2025-04-30 Xiangliang Kong , Shreya Meel , Thomas Jacob Maranzatto , Itzhak Tamo , Sennur Ulukus

In the private information retrieval (PIR) problem, a user wants to retrieve a file from a database without revealing any information about the desired file's identity to the servers that store the database. In this paper, we study the PIR…

Information Theory · Computer Science 2021-05-18 Bar Sadeh , Yujie Gu , Itzhak Tamo

We rethink the definition of privacy in multi-server, graph-replicated private information retrieval (PIR) systems, and introduce a novel setting where the user's privacy is governed by the servers' storage structure. In particular, while…

Information Theory · Computer Science 2026-05-12 Shreya Meel , Mohamed Nomeir , Sennur Ulukus

We consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ non-colluding and non-replicated databases. Different from the majority of the existing literature, which considers the case of…

Information Theory · Computer Science 2019-01-03 Karim Banawan , Sennur Ulukus

Suppose there are $N$ distributed databases each storing a full set of $M$ independent files. A user wants to retrieve $r$ out of the $M$ files without revealing the identity of the $r$ files. When $r=1$ it is the classic problem of private…

Information Theory · Computer Science 2017-04-12 Zhifang Zhang , Jingke Xu

We revisit the problem of symmetric private information retrieval (SPIR) in settings where the database replication is modeled by a simple graph. Here, each vertex corresponds to a server, and a message is replicated on two servers if and…

Information Theory · Computer Science 2025-10-30 Shreya Meel , Sennur Ulukus

In a Private Information Retrieval (PIR) protocol, a user can download a file from a database without revealing the identity of the file to each individual server. A PIR protocol is called $t$-private if the identity of the file remains…

Information Theory · Computer Science 2019-03-06 Netanel Raviv , Itzhak Tamo , Eitan Yaakobi

We reformulate the definition of privacy in the private information retrieval (PIR) problem to accommodate flexible privacy requirements. We focus on graph-replicated PIR, with a generalized privacy requirement, instead of requiring all…

Information Theory · Computer Science 2026-05-12 Mohamed Nomeir , Shreya Meel , Sennur Ulukus

We introduce the problem of symmetric private information retrieval (SPIR) on replicated databases modeled by a simple graph. In this model, each vertex corresponds to a server, and a message is replicated on two servers if and only if…

Information Theory · Computer Science 2025-09-04 Shreya Meel , Sennur Ulukus

The problem of PIR in graph-based replication systems has received significant attention in recent years. A systematic study was conducted by Sadeh, Gu, and Tamo, where each file is replicated across two servers and the storage topology is…

Information Theory · Computer Science 2025-10-01 Gennian Ge , Hao Wang , Zixiang Xu , Yijun Zhang

We present a private information retrieval (PIR) scheme that allows a user to retrieve a single message from an arbitrary number of databases by colluding with other users while hiding the desired message index. This scheme is of particular…

Information Theory · Computer Science 2020-10-29 William Barnhart , Zhi Tian

We consider the problem of private information retrieval (PIR) over a distributed storage system. The storage system consists of $N$ non-colluding databases, each storing a coded version of $M$ messages. In the PIR problem, the user wishes…

Information Theory · Computer Science 2016-09-27 Karim Banawan , Sennur Ulukus

We consider the problem of private information retrieval (PIR) where a single user with private side information aims to retrieve multiple files from a library stored (uncoded) at a number of servers. We assume the side information at the…

Information Theory · Computer Science 2018-05-31 Seyed Pooya Shariatpanahi , Mahdi Jafari Siavoshani , Mohammad Ali Maddah-Ali

We design new minimal-subpacketization schemes for information-theoretic private information retrieval on graph-based replicated databases. In graph-based replication, the system consists of $K$ files replicated across $N$ servers according…

Information Theory · Computer Science 2026-01-16 Vayur Shanbhag , Prasad Krishnan

The capacity has recently been characterized for the private information retrieval (PIR) problem as well as several of its variants. In every case it is assumed that all the queries are generated by the user simultaneously. Here we consider…

Information Theory · Computer Science 2016-11-08 Hua Sun , Syed A. Jafar

We consider the problem of private information retrieval (PIR) from multiple storage nodes when the underlying database is encoded using regenerating codes, i.e., the database has the ability to recover from individual node failures. We…

Information Theory · Computer Science 2019-02-06 Adway Patra , Navin Kashyap

Suppose a database containing $M$ records is replicated across $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2018-05-08 Jingke Xu , Zhifang Zhang

The problem of private information retrieval gets renewed attentions in recent years due to its information-theoretic reformulation and applications in distributed storage systems. PIR capacity is the maximal number of bits privately…

Information Theory · Computer Science 2017-04-25 Yiwei Zhang , Gennian Ge

We formulate a new variant of the private information retrieval (PIR) problem where the user is pliable, i.e., interested in any message from a desired subset of the available dataset, denoted as pliable private information retrieval…

Information Theory · Computer Science 2022-06-14 Sarah A. Obead , Jörg Kliewer

Private Information Retrieval (PIR) is a fundamental problem in the broader fields of security and privacy. In recent years, the problem has garnered significant attention from the research community, leading to achievability schemes and…

Information Theory · Computer Science 2025-02-21 Ningze Wang , Anoosheh Heidarzadeh , Alex Sprintson
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