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In this paper, we initiate the systematic study of solving linear programs under differential privacy. The first step is simply to define the problem: to this end, we introduce several natural classes of private linear programs that capture…

Data Structures and Algorithms · Computer Science 2018-03-16 Justin Hsu , Aaron Roth , Tim Roughgarden , Jonathan Ullman

Large language models (LLMs), especially those based on the Transformer architecture, have had a profound impact on various aspects of daily life, such as natural language processing, content generation, research methodologies, and more.…

Machine Learning · Computer Science 2024-10-15 Yeqi Gao , Zhao Song , Xin Yang , Yufa Zhou

This work establishes the fundamental limits of the classical problem of multi-user distributed computing of linearly separable functions. In particular, we consider a distributed computing setting involving $L$ users, each requesting a…

Information Theory · Computer Science 2026-01-16 K. K. Krishnan Namboodiri , Elizabath Peter , Derya Malak , Petros Elia

In this work, a distributed server system composed of multiple servers that holds some coded files and multiple users that are interested in retrieving the linear functions of the files is investigated, where the servers are robust, blind…

Information Theory · Computer Science 2024-07-25 Qifa Yan , Xiaohu Tang , Zhengchun Zhou

The rise of connected personal devices together with privacy concerns call for machine learning algorithms capable of leveraging the data of a large number of agents to learn personalized models under strong privacy requirements. In this…

Machine Learning · Computer Science 2018-02-20 Aurélien Bellet , Rachid Guerraoui , Mahsa Taziki , Marc Tommasi

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

Finding min $s$-$t$ cuts in graphs is a basic algorithmic tool with applications in image segmentation, community detection, reinforcement learning, and data clustering. In this problem, we are given two nodes as terminals, and the goal is…

Data Structures and Algorithms · Computer Science 2023-12-29 Mina Dalirrooyfard , Slobodan Mitrović , Yuriy Nevmyvaka

Protocols satisfying Local Differential Privacy (LDP) enable parties to collect aggregate information about a population while protecting each user's privacy, without relying on a trusted third party. LDP protocols (such as Google's RAPPOR)…

Cryptography and Security · Computer Science 2017-05-16 Tianhao Wang , Jeremiah Blocki , Ninghui Li , Somesh Jha

Local differential privacy (LDP) enables the efficient release of aggregate statistics without having to trust the central server (aggregator), as in the central model of differential privacy, and simultaneously protects a client's…

Cryptography and Security · Computer Science 2025-04-24 Tariq Bontekoe , Hassan Jameel Asghar , Fatih Turkmen

Differentially private federated learning is crucial for maintaining privacy in distributed environments. This paper investigates the challenges of high-dimensional estimation and inference under the constraints of differential privacy.…

Machine Learning · Statistics 2024-04-26 Zhe Zhang , Ryumei Nakada , Linjun Zhang

Numerical linear algebra plays an important role in computer science. In this paper, we initiate the study of performing linear algebraic tasks while preserving privacy when the data is streamed online. Our main focus is the space…

Data Structures and Algorithms · Computer Science 2017-10-26 Jalaj Upadhyay

Federated learning (FL), as a type of collaborative machine learning framework, is capable of preserving private data from mobile terminals (MTs) while training the data into useful models. Nevertheless, from a viewpoint of information…

Machine Learning · Computer Science 2021-02-01 Kang Wei , Jun Li , Ming Ding , Chuan Ma , Hang Su , Bo Zhang , H. Vincent Poor

Large Language models (LLMs) are achieving state-of-the-art performance in many different downstream tasks. However, the increasing urgency of data privacy puts pressure on practitioners to train LLMs with Differential Privacy (DP) on…

Machine Learning · Computer Science 2025-12-17 James Flemings , Murali Annavaram

Concern about how to aggregate sensitive user data without compromising individual privacy is a major barrier to greater availability of data. The model of differential privacy has emerged as an accepted model to release sensitive…

Databases · Computer Science 2017-10-03 Graham Cormode , Tejas Kulkarni , Divesh Srivastava

Large language models (LLMs) are commonly adapted to downstream tasks through fine-tuning, but fine-tuning data often contains sensitive information that may be leaked by the resulting model. Differential privacy (DP) offers formal…

Machine Learning · Computer Science 2026-05-19 Haichao Sha , Zihao Wang , Yuncheng Wu , Hong Chen , Wei Dong

In-context learning (ICL) in Large Language Models (LLMs) has shown remarkable performance across various tasks without requiring fine-tuning. However, recent studies have highlighted the risk of private data leakage through the prompt in…

Artificial Intelligence · Computer Science 2025-09-16 Seongho Joo , Hyukhun Koh , Kyomin Jung

In this paper, we present a new perspective of single server private information retrieval (PIR) schemes by using the notion of linear error-correcting codes. Many of the known single server schemes are based on taking linear combinations…

Information Theory · Computer Science 2020-08-17 Gianira N. Alfarano , Karan Khathuria , Violetta Weger

Consider a user who wishes to store a file in multiple servers such that at least t servers are needed to reconstruct the file, and z colluding servers cannot learn any information about the file. Unlike traditional secret-sharing models,…

Information Theory · Computer Science 2022-07-28 Remi A. Chou

We study $\left(\epsilon,\delta\right)$-differentially private algorithms for the problem of approximately computing the top singular vector of a matrix $A\in\mathbb{R}^{n\times d}$ where each row of $A$ is a data point in $\mathbb{R}^{d}$.…

Data Structures and Algorithms · Computer Science 2026-05-20 Ta Duy Nguyen , Alina Ene , Huy Le Nguyen

We consider the problem of private computation (PC) in a distributed storage system. In such a setting a user wishes to compute a function of $f$ messages replicated across $n$ noncolluding databases, while revealing no information about…

Information Theory · Computer Science 2023-07-06 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer