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In this paper we study the problem of private information retrieval where a user seeks to retrieve one of the $F$ files from a cluster of $N$ non-colluding servers without revealing the identity of the requested file. In our setting the…

Information Theory · Computer Science 2021-03-18 Mohit Shrivastava , Pradeep Sarvepalli

Private information retrieval (PIR) allows a user to retrieve a desired message from a set of databases without revealing the identity of the desired message. The replicated databases scenario was considered by Sun and Jafar, 2016, where…

Information Theory · Computer Science 2018-10-25 Mohamed Adel Attia , Deepak Kumar , Ravi Tandon

In this chapter, an integer linear programming formulation for the problem of obtaining task-relevant, multi-resolution, environment abstractions for resource-constrained autonomous agents is presented. The formulation leverages concepts…

Information Theory · Computer Science 2022-08-09 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

We study the problem of leaky private information retrieval (L-PIR), where the amount of privacy leakage is measured by the pure differential privacy parameter, referred to as the leakage ratio exponent. Unlike the previous L-PIR scheme…

Information Retrieval · Computer Science 2025-01-22 Wenyuan Zhao , Yu-Shin Huang , Chao Tian , Alex Sprintson

We consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ replicated and non-colluding databases where a cache-enabled user (retriever) of cache-size $M$ possesses side information in…

Information Theory · Computer Science 2017-11-28 Yi-Peng Wei , Karim Banawan , Sennur Ulukus

Pseudo-relevance feedback (PRF) is commonly used to boost the performance of traditional information retrieval (IR) models by using top-ranked documents to identify and weight new query terms, thereby reducing the effect of query-document…

Information Retrieval · Computer Science 2018-11-01 Canjia Li , Yingfei Sun , Ben He , Le Wang , Kai Hui , Andrew Yates , Le Sun , Jungang Xu

In this paper, we describe a novel unsupervised learning scheme for accelerating the solution of a family of mixed integer programming (MIP) problems. Distinct substantially from existing learning-to-optimize methods, our proposal seeks to…

Optimization and Control · Mathematics 2024-12-25 Shiyuan Qu , Fenglian Dong , Zhiwei Wei , Chao Shang

Linear programming (LP) is an extremely useful tool and has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2020-03-19 Agniva Chowdhury , Palma London , Haim Avron , Petros Drineas

Retrieval-Augmented Generation (RAG) has become a cornerstone technique for enhancing large language models (LLMs) with external knowledge. However, current RAG systems face two critical limitations: (1) they inefficiently retrieve…

Computation and Language · Computer Science 2025-08-07 Wang Chen , Guanqiang Qi , Weikang Li , Yang Li , Deguo Xia , Jizhou Huang

Private Information Retrieval (PIR) allows a client to privately access a database without revealing which element is accessed. Initial PIR protocols based on Ring Learning with Errors (RLWE) demonstrated the practicality of PIR, but…

Cryptography and Security · Computer Science 2026-03-11 Rasoul Akhavan Mahdavi , Abdulrahman Diaa , Florian Kerschbaum

In this paper, we consider the multi-server setting of Private Information Retrieval with Private Coded Side Information (PIR-PCSI) problem. In this problem, there is a database of $K$ messages whose copies are replicated across $N$…

Information Theory · Computer Science 2019-06-28 Fatemeh Kazemi , Esmaeil Karimi , Anoosheh Heidarzadeh , Alex Sprintson

We consider the problem of multi-access cache-aided multi-user Private Information Retrieval (MuPIR). In this problem, several files are replicated across multiple servers. There are $K$ users and $C$ cache nodes. Each user can access $L$…

Information Theory · Computer Science 2022-02-11 Kanishak Vaidya , B Sundar Rajan

Private information retrieval has been reformulated in an information-theoretic perspective in recent years. The two most important parameters considered for a PIR scheme in a distributed storage system are the storage overhead and PIR…

Information Theory · Computer Science 2019-01-24 Yiwei Zhang , Eitan Yaakobi , Tuvi Etzion , Moshe Schwartz

In this paper, we propose two exact distributed algorithms to solve mixed integer linear programming (MILP) problems with multiple agents where data privacy is important for the agents. A key challenge is that, because of the non-convex…

Optimization and Control · Mathematics 2022-05-03 Mohammad Javad Feizollahi

It was recently shown by Fazeli et al. that the storage overhead of a traditional $t$-server private information retrieval (PIR) protocol can be significantly reduced using the concept of a $t$-server PIR code. In this work, we show that a…

Information Theory · Computer Science 2018-01-24 Hsuan-Yin Lin , Eirik Rosnes

We consider the problem of private information retrieval (PIR) of a single message out of $K$ messages from $N$ replicated and non-colluding databases where a cache-enabled user (retriever) of cache-size $S$ possesses side information in…

Information Theory · Computer Science 2018-06-05 Yi-Peng Wei , Sennur Ulukus

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

A functional $k$-PIR code of dimension $s$ consists of $n$ servers storing linear combinations of $s$ linearly independent information symbols. Any linear combination of the $s$ information symbols can be recovered by $k$ disjoint subsets…

Information Theory · Computer Science 2019-04-16 Yiwei Zhang , Eitan yaakobi , Tuvi Etzion

The problem of private information retrieval (PIR) is to retrieve one message out of $K$ messages replicated at $N$ databases, without revealing the identity of the desired message to the databases. We consider the problem of PIR with…

Information Theory · Computer Science 2017-10-04 Qiwen Wang , Mikael Skoglund

We consider constructing capacity-achieving linear codes with minimum message size for private information retrieval (PIR) from $N$ non-colluding databases, where each message is coded using maximum distance separable (MDS) codes, such that…

Information Theory · Computer Science 2020-01-24 Ruida Zhou , Chao Tian , Hua Sun , Tie Liu