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In private information delivery (PID) problem, there are $K$ messages stored across $N$ servers, each capable of storing $M$ messages and a user. Servers want to convey one of the $K$ messages to the user without revealing the identity…

Information Theory · Computer Science 2022-02-09 Kanishak Vaidya , B Sundar Rajan

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…

Information Theory · Computer Science 2022-01-07 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

We consider the private information retrieval (PIR) problem from decentralized uncoded caching databases. There are two phases in our problem setting, a caching phase, and a retrieval phase. In the caching phase, a data center containing…

Information Theory · Computer Science 2018-11-28 Yi-Peng Wei , Batuhan Arasli , Karim Banawan , Sennur Ulukus

Given a collection of vectors $x^{(1)},\dots,x^{(n)} \in \{0,1\}^d$, the selection problem asks to report the index of an "approximately largest" entry in $x=\sum_{j=1}^n x^{(j)}$. Selection abstracts a host of problems--in machine learning…

Cryptography and Security · Computer Science 2023-06-09 Ivan Damgård , Hannah Keller , Boel Nelson , Claudio Orlandi , Rasmus Pagh

We consider information-theoretic privacy in federated submodel learning, where a global server has multiple submodels. Compared to the privacy considered in the conventional federated submodel learning where secure aggregation is adopted…

Information Theory · Computer Science 2020-08-19 Minchul Kim , Jungwoo Lee

This paper introduces the problem of Private Linear Transformation (PLT) which generalizes the problems of private information retrieval and private linear computation. The PLT problem includes one or more remote server(s) storing…

Information Theory · Computer Science 2021-06-11 Anoosheh Heidarzadeh , Nahid Esmati , Alex Sprintson

The work by Maddah-Ali and Niesen demonstrated the benefits in reducing the transmission rate in a noiseless broadcast network by joint design of caching and delivery schemes. In their setup, each user learns the demands of all other users…

Information Theory · Computer Science 2019-09-10 Sneha Kamath

Coded Caching is an efficient technique to reduce peak hour network traffic. One limitation of known coded caching schemes is that the demands of all users are revealed to their peers in the delivery phase. Schemes that assure privacy for…

Information Theory · Computer Science 2021-02-04 K. K. Krishnan Namboodiri , B. Sundar Rajan

We introduce the problem of Private Linear Transformation (PLT). This problem includes a single (or multiple) remote server(s) storing (identical copies of) $K$ messages and a user who wants to compute $L$ linear combinations of a…

Information Theory · Computer Science 2021-02-07 Nahid Esmati , Anoosheh Heidarzadeh , Alex Sprintson

Private Information Retrieval (PIR) is a fundamental cryptographic primitive that enables users to retrieve data from a database without revealing which item is being accessed, thereby preserving query privacy. However, PIR protocols also…

Cryptography and Security · Computer Science 2025-09-18 Lin Zhu , Lingwei Kong , Xin Ning , Xiaoyang Qu , Jianzong Wang

In a User-Private Information Retrieval (UPIR) scheme, a set of users collaborate to retrieve files from a database without revealing to observers which participant in the scheme requested the file. Protocols have been proposed based on…

Information Theory · Computer Science 2017-07-07 Oliver Gnilke , Marcus Greferath , Camilla Hollanti , Guillermo Nuñez Ponasso , Padraig Ó Catháin , Eric Swartz

We study the top-$k$ selection problem under the differential privacy model: $m$ items are rated according to votes of a set of clients. We consider a setting in which algorithms can retrieve data via a sequence of accesses, each either a…

Cryptography and Security · Computer Science 2023-05-31 Hao Wu , Olga Ohrimenko , Anthony Wirth

Private information retrieval from a single server is considered, utilizing random linear codes. Presented is a modified version of the first code-based single-server computational PIR scheme proposed by Holzbaur, Hollanti, and Wachter-Zeh…

Information Theory · Computer Science 2025-05-07 Neehar Verma , Camilla Hollanti

We study two problems of private matrix multiplication, over a distributed computing system consisting of a master node, and multiple servers that collectively store a family of public matrices using Maximum-Distance-Separable (MDS) codes.…

Information Theory · Computer Science 2023-03-01 Jinbao Zhu , Songze Li , Jie Li

We consider the problem of cache-aided multi-user private information retrieval (MuPIR). In this problem, $N$ independent files are replicated across $S \geq 2$ non-colluding servers. There are $K$ users, each equipped with cache memory…

Information Theory · Computer Science 2022-12-27 Kanishak Vaidya , B Sundar Rajan

We revisit Wald's celebrated Sequential Probability Ratio Test for sequential tests of two simple hypotheses, under privacy constraints. We propose DP-SPRT, a wrapper that can be calibrated to achieve desired error probabilities and privacy…

Machine Learning · Statistics 2026-02-05 Thomas Michel , Debabrota Basu , Emilie Kaufmann

Given a graph, the densest subgraph problem asks for a set of vertices such that the average degree among these vertices is maximized. Densest subgraph has numerous applications in learning, e.g., community detection in social networks,…

Cryptography and Security · Computer Science 2022-11-15 Alireza Farhadi , MohammadTaghi Hajiaghayi , Elaine Shi

Consider a system, including a user, $N$ servers, and $K$ basic functions which are known at all of the servers. Using the combination of those basic functions, it is possible to construct a wide class of functions. The user wishes to…

Information Theory · Computer Science 2020-03-10 Behrooz Tahmasebi , Mohammad Ali Maddah-Ali

A sum-product network (SPN) is a graphical model that allows several types of probabilistic inference to be performed efficiently. In this paper, we propose a privacy-preserving protocol which tackles structure generation and parameter…

Cryptography and Security · Computer Science 2025-10-08 Xenia Heilmann , Ernst Althaus , Mattia Cerrato , Nick Johannes Peter Rassau , Mohammad Sadeq Dousti , Stefan Kramer

Secret sharing is an instrumental tool for sharing secret keys in distributed systems. In a classical threshold setting, this involves a dealer who has a secret/key, a set of parties/users to which shares of the secret are sent, and a…

Information Theory · Computer Science 2024-05-09 Utkarsh Gupta , Hessam Mahdavifar