English
Related papers

Related papers: Optimal Private Discrete Distribution Estimation w…

200 papers

We study the problem of differentially private optimization with linear constraints when the right-hand-side of the constraints depends on private data. This type of problem appears in many applications, especially resource allocation.…

Machine Learning · Computer Science 2020-11-05 Andrés Muñoz Medina , Umar Syed , Sergei Vassilvitskii , Ellen Vitercik

This paper considers privacy-concerned distributed constraint-coupled resource allocation problems over an undirected network, where each agent holds a private cost function and obtains the solution via only local communication. With…

Optimization and Control · Mathematics 2025-06-05 Wenwen Wu , Shanying Zhu , Shuai Liu , Xinping Guan

We consider the problem of revealing/sharing data in an efficient and secure way via a compact representation. The representation should ensure reliable reconstruction of the desired features/attributes while still preserve privacy of the…

Information Theory · Computer Science 2016-05-09 Kittipong Kittichokechai , Giuseppe Caire

Differential privacy (DP) is a rigorous notion of data privacy, used for private statistics. The canonical algorithm for differentially private mean estimation is to first clip the samples to a bounded range and then add noise to their…

Statistics Theory · Mathematics 2024-10-10 Gautam Kamath , Argyris Mouzakis , Matthew Regehr , Vikrant Singhal , Thomas Steinke , Jonathan Ullman

Large data sets often require performing distributed statistical estimation, with a full data set split across multiple machines and limited communication between machines. To study such scenarios, we define and study some refinements of…

Information Theory · Computer Science 2014-06-24 John C. Duchi , Michael I. Jordan , Martin J. Wainwright , Yuchen Zhang

We develop lower bounds for estimation under local privacy constraints---including differential privacy and its relaxations to approximate or R\'{e}nyi differential privacy---by showing an equivalence between private estimation and…

Statistics Theory · Mathematics 2019-05-07 John Duchi , Ryan Rogers

In this paper, we investigate the privacy-utility trade-off (PUT) problem, which considers the minimal privacy loss at a fixed expense of utility. Several different kinds of privacy in the PUT problem are studied, including differential…

Information Theory · Computer Science 2022-04-27 Hao Zhong , Kaifeng Bu

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

Cryptography and Security · Computer Science 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya

We consider a federated data analytics problem in which a server coordinates the collaborative data analysis of multiple users with privacy concerns and limited communication capability. The commonly adopted compression schemes introduce…

Cryptography and Security · Computer Science 2024-02-02 Richeng Jin , Zhonggen Su , Caijun Zhong , Zhaoyang Zhang , Tony Quek , Huaiyu Dai

Differential Privacy (DP) is a well-established framework to quantify privacy loss incurred by any algorithm. Traditional formulations impose a uniform privacy requirement for all users, which is often inconsistent with real-world scenarios…

Cryptography and Security · Computer Science 2023-10-23 Syomantak Chaudhuri , Konstantin Miagkov , Thomas A. Courtade

We study the problem of discrete distribution estimation under utility-optimized local differential privacy (ULDP), which enforces local differential privacy (LDP) on sensitive data while allowing more accurate inference on non-sensitive…

Cryptography and Security · Computer Science 2025-09-30 Sun-Moon Yoon , Hyun-Young Park , Seung-Hyun Nam , Si-Hyeon Lee

Consider statistical learning (e.g. discrete distribution estimation) with local $\epsilon$-differential privacy, which preserves each data provider's privacy locally, we aim to optimize statistical data utility under the privacy…

Information Theory · Computer Science 2016-07-28 Shaowei Wang , Liusheng Huang , Pengzhan Wang , Yiwen Nie , Hongli Xu , Wei Yang , Xiang-Yang Li , Chunming Qiao

A novel private communication framework is proposed where privacy is induced by transmitting over a channel instances of linear inverse problems that are identifiable to the legitimate receiver but unidentifiable to an eavesdropper. The gap…

Information Theory · Computer Science 2024-07-24 Maxime Ferreira Da Costa , Jianxiu Li , Urbashi Mitra

Privacy-preserving data analysis is a rising challenge in contemporary statistics, as the privacy guarantees of statistical methods are often achieved at the expense of accuracy. In this paper, we investigate the tradeoff between…

Machine Learning · Statistics 2020-11-11 T. Tony Cai , Yichen Wang , Linjun Zhang

We consider the fundamental problem of communicating an estimate of a real number $x\in[0,1]$ using a single bit. A sender that knows $x$ chooses a value $X\in\set{0,1}$ to transmit. In turn, a receiver estimates $x$ based on the value of…

Data Structures and Algorithms · Computer Science 2021-05-21 Ran Ben-Basat , Michael Mitzenmacher , Shay Vargaftik

This paper studies the design of an optimal privacyaware estimator of a public random variable based on noisy measurements which contain private information. The public random variable carries non-private information, however, its estimate…

Optimization and Control · Mathematics 2018-08-08 Ehsan Nekouei , Henrik Sandberg , Mikael Skoglund , Karl H. Johansson

We consider the problem of communication-constrained collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific…

Social and Information Networks · Computer Science 2025-11-10 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

We study the fundamental task of estimating the median of an underlying distribution from a finite number of samples, under pure differential privacy constraints. We focus on distributions satisfying the minimal assumption that they have a…

Statistics Theory · Mathematics 2020-11-13 Christos Tzamos , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Ilias Zadik

Compressing the output of \epsilon-locally differentially private (LDP) randomizers naively leads to suboptimal utility. In this work, we demonstrate the benefits of using schemes that jointly compress and privatize the data using shared…

Cryptography and Security · Computer Science 2022-03-01 Abhin Shah , Wei-Ning Chen , Johannes Balle , Peter Kairouz , Lucas Theis