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We study the relationship between adversarial robustness and differential privacy in high-dimensional algorithmic statistics. We give the first black-box reduction from privacy to robustness which can produce private estimators with optimal…

Data Structures and Algorithms · Computer Science 2024-06-18 Samuel B. Hopkins , Gautam Kamath , Mahbod Majid , Shyam Narayanan

We propose a new framework for differentially private optimization of convex functions which are Lipschitz in an arbitrary norm $\|\cdot\|$. Our algorithms are based on a regularized exponential mechanism which samples from the density…

Machine Learning · Computer Science 2022-11-14 Sivakanth Gopi , Yin Tat Lee , Daogao Liu , Ruoqi Shen , Kevin Tian

A key challenge in many modern data analysis tasks is that user data are heterogeneous. Different users may possess vastly different numbers of data points. More importantly, it cannot be assumed that all users sample from the same…

Cryptography and Security · Computer Science 2023-08-01 Rachel Cummings , Vitaly Feldman , Audra McMillan , Kunal Talwar

In differential privacy, random noise is introduced to privatize summary statistics of a sensitive dataset before releasing them. The noise level determines the privacy loss, which quantifies how easily an adversary can detect a target…

Statistics Theory · Mathematics 2026-02-24 Youngjoo Yun , Rishabh Dudeja

Data privacy and decentralised data collection has become more and more popular in recent years. In order to solve issues with privacy, communication bandwidth and learning from spatio-temporal data, we will propose two efficient models…

Machine Learning · Computer Science 2023-01-19 Timon Sachweh , Daniel Boiar , Thomas Liebig

How to achieve differential privacy in the distributed setting, where the dataset is distributed among the distrustful parties, is an important problem. We consider in what condition can a protocol inherit the differential privacy property…

Cryptography and Security · Computer Science 2017-04-06 Genqiang Wu , Yeping He , Jingzheng Wu , Xianyao Xia

With the recent bloom of data, there is a huge surge in threats against individuals' private information. Various techniques for optimizing privacy-preserving data analysis are at the focus of research in the recent years. In this paper, we…

Cryptography and Security · Computer Science 2022-11-11 Sayan Biswas , Graham Cormode , Carsten Maple

We consider machine learning, particularly regression, using locally-differentially private datasets. The Wasserstein distance is used to define an ambiguity set centered at the empirical distribution of the dataset corrupted by local…

Machine Learning · Computer Science 2020-06-25 Farhad Farokhi

Many modern statistical analysis and machine learning applications require training models on sensitive user data. Under a formal definition of privacy protection, differentially private algorithms inject calibrated noise into the…

Machine Learning · Statistics 2025-04-01 Yifei Xiong , Nianqiao Phyllis Ju , Sanguo Zhang

A privacy-constrained information extraction problem is considered where for a pair of correlated discrete random variables $(X,Y)$ governed by a given joint distribution, an agent observes $Y$ and wants to convey to a potentially public…

Information Theory · Computer Science 2016-01-19 Shahab Asoodeh , Mario Diaz , Fady Alajaji , Tamás Linder

Differential privacy is known to protect against threats to validity incurred due to adaptive, or exploratory, data analysis -- even when the analyst adversarially searches for a statistical estimate that diverges from the true value of the…

Cryptography and Security · Computer Science 2022-07-25 Elbert Du , Cynthia Dwork

We consider the minimax estimation problem of a discrete distribution with support size $k$ under locally differential privacy constraints. A privatization scheme is applied to each raw sample independently, and we need to estimate the…

Statistics Theory · Mathematics 2017-08-02 Min Ye , Alexander Barg

The construction and theoretical analysis of the most popular universally consistent nonparametric density estimators hinge on one functional property: smoothness. In this paper we investigate the theoretical implications of incorporating a…

Statistics Theory · Mathematics 2022-04-05 Robert A. Vandermeulen , Antoine Ledent

We consider the minimax estimation problem of a discrete distribution with support size $k$ under privacy constraints. A privatization scheme is applied to each raw sample independently, and we need to estimate the distribution of the raw…

Machine Learning · Computer Science 2017-02-03 Min Ye , Alexander Barg

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

Machine Learning · Computer Science 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

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 collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific distributions. In particular, we…

Machine Learning · Computer Science 2024-12-02 Yauhen Yakimenka , Chung-Wei Weng , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

We consider the problem of privately estimating the mean of vectors distributed across different nodes of an unreliable wireless network, where communications between nodes can fail intermittently. We adopt a semi-decentralized setup,…

Signal Processing · Electrical Eng. & Systems 2024-06-07 Rajarshi Saha , Mohamed Seif , Michal Yemini , Andrea J. Goldsmith , H. Vincent Poor

We study distributed goodness-of-fit testing for discrete distribution under bandwidth and differential privacy constraints. Information constraint distributed goodness-of-fit testing is a problem that has received considerable attention…

Statistics Theory · Mathematics 2024-11-05 Lasse Vuursteen