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We introduce the Poisson Binomial mechanism (PBM), a discrete differential privacy mechanism for distributed mean estimation (DME) with applications to federated learning and analytics. We provide a tight analysis of its privacy guarantees,…

Cryptography and Security · Computer Science 2022-07-21 Wei-Ning Chen , Ayfer Özgür , Peter Kairouz

In shuffle privacy, each user sends a collection of randomized messages to a trusted shuffler, the shuffler randomly permutes these messages, and the resulting shuffled collection of messages must satisfy differential privacy. Prior work in…

Machine Learning · Computer Science 2022-03-15 Albert Cheu , Matthew Joseph , Jieming Mao , Binghui Peng

Consider the following problem: given a metric space, some of whose points are "clients", open a set of at most $k$ facilities to minimize the average distance from the clients to these facilities. This is just the well-studied $k$-median…

Data Structures and Algorithms · Computer Science 2009-11-11 Anupam Gupta , Katrina Ligett , Frank McSherry , Aaron Roth , Kunal Talwar

Safeguarding privacy in machine learning is highly desirable, especially in collaborative studies across many organizations. Privacy-preserving distributed machine learning (based on cryptography) is popular to solve the problem. However,…

Machine Learning · Computer Science 2016-11-07 Wei Xie , Yang Wang , Steven M. Boker , Donald E. Brown

In non-private stochastic convex optimization, stochastic gradient methods converge much faster on interpolation problems -- problems where there exists a solution that simultaneously minimizes all of the sample losses -- than on…

Machine Learning · Computer Science 2022-11-01 Hilal Asi , Karan Chadha , Gary Cheng , John Duchi

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

Statistics Theory · Mathematics 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

This paper addresses the problem of differentially private distributed optimization under limited communication, where each agent aims to keep their cost function private while minimizing the sum of all agents' cost functions. In response,…

Optimization and Control · Mathematics 2023-04-05 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

The objective of differential privacy (DP) is to protect privacy by producing an output distribution that is indistinguishable between any two neighboring databases. However, traditional differentially private mechanisms tend to produce…

Cryptography and Security · Computer Science 2023-11-07 Kai Zhang , Yanjun Zhang , Ruoxi Sun , Pei-Wei Tsai , Muneeb Ul Hassan , Xin Yuan , Minhui Xue , Jinjun Chen

Distributed optimization has gained significant attention in recent years, primarily fueled by the availability of a large amount of data and privacy-preserving requirements. This paper presents a fixed-time convergent optimization…

Systems and Control · Computer Science 2022-05-30 Kunal Garg , Mayank Baranwal

Under stringent privacy constraints, whether federated recommendation systems can achieve group fairness remains an inadequately explored question. Taking gender fairness as a representative issue, we identify three phenomena in federated…

Machine Learning · Computer Science 2024-12-02 Siqing Zhang , Yuchen Ding , Wei Tang , Wei Sun , Yong Liao , Peng Yuan Zhou

We study private stochastic convex optimization (SCO) under user-level differential privacy (DP) constraints. In this setting, there are $n$ users (e.g., cell phones), each possessing $m$ data items (e.g., text messages), and we need to…

Machine Learning · Computer Science 2024-10-25 Andrew Lowy , Daogao Liu , Hilal Asi

In this paper, we initiate a systematic investigation of differentially private algorithms for convex empirical risk minimization. Various instantiations of this problem have been studied before. We provide new algorithms and matching lower…

Machine Learning · Computer Science 2014-10-21 Raef Bassily , Adam Smith , Abhradeep Thakurta

We address nonconvex learning problems over undirected networks. In particular, we focus on the challenge of designing an algorithm that is both communication-efficient and that guarantees the privacy of the agents' data. The first goal is…

Machine Learning · Computer Science 2026-04-06 Xiaoxing Ren , Yuwen Ma , Nicola Bastianello , Karl H. Johansson , Thomas Parisini , Andreas A. Malikopoulos

In recent years, differential privacy has emerged as the de facto standard for sharing statistics of datasets while limiting the disclosure of private information about the involved individuals. This is achieved by randomly perturbing the…

Cryptography and Security · Computer Science 2024-12-18 Aras Selvi , Huikang Liu , Wolfram Wiesemann

This study concentrates on preserving privacy in a network of agents where each agent seeks to evaluate a general polynomial function over the private values of her immediate neighbors. We provide an algorithm for the exact evaluation of…

Cryptography and Security · Computer Science 2022-06-08 Teimour Hosseinalizadeh , Fatih Turkmen , Nima Monshizadeh

This paper studies how to apply differential privacy to constrained optimization problems whose inputs are sensitive. This task raises significant challenges since random perturbations of the input data often render the constrained…

Optimization and Control · Mathematics 2021-01-07 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

To reduce the communication cost of differential privacy mechanisms, we introduce a novel construction, called Poisson private representation (PPR), designed to compress and simulate any local randomizer while ensuring local differential…

Cryptography and Security · Computer Science 2024-11-12 Yanxiao Liu , Wei-Ning Chen , Ayfer Özgür , Cheuk Ting Li

Through the lens of information-theoretic reductions, we examine a reductions approach to fair optimization and learning where a black-box optimizer is used to learn a fair model for classification or regression. Quantifying the complexity,…

Machine Learning · Computer Science 2021-05-25 Daniel Alabi

Federated learning enables training machine learning models while preserving the privacy of participants. Surprisingly, there is no differentially private distributed method for smooth, non-convex optimization problems. The reason is that…

Machine Learning · Computer Science 2025-02-20 Egor Shulgin , Sarit Khirirat , Peter Richtárik

In many signal processing and machine learning applications, datasets containing private information are held at different locations, requiring the development of distributed privacy-preserving algorithms. Tensor and matrix factorizations…

Machine Learning · Statistics 2019-04-23 Hafiz Imtiaz , Anand D. Sarwate
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