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A wide variety of privacy metrics have been proposed in the literature to evaluate the level of protection offered by privacy enhancing-technologies. Most of these metrics are specific to concrete systems and adversarial models, and are…

Information Theory · Computer Science 2012-11-14 David Rebollo-Monedero , Javier Parra-Arnau , Claudia Diaz , Jordi Forné

We study the fundamental problem of frequency estimation under both privacy and communication constraints, where the data is distributed among $k$ parties. We consider two application scenarios: (1) one-shot, where the data is static and…

Cryptography and Security · Computer Science 2021-06-01 Ziyue Huang , Yuan Qiu , Ke Yi , Graham Cormode

This paper considers the problem of transmitting the difference of two jointly Gaussian sources over a two-user additive Gaussian noise multiple access channel (MAC). The goal is to recover this difference within an average mean squared…

Information Theory · Computer Science 2008-12-08 Rajiv Soundararajan , Sriram Vishwanath

By enabling multiple agents to cooperatively solve a global optimization problem in the absence of a central coordinator, decentralized stochastic optimization is gaining increasing attention in areas as diverse as machine learning,…

Optimization and Control · Mathematics 2022-08-10 Yongqiang Wang , Tamer Basar

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

Cryptography and Security · Computer Science 2023-05-18 Syomantak Chaudhuri , Thomas A. Courtade

We study differentially private mean estimation in a high-dimensional setting. Existing differential privacy techniques applied to large dimensions lead to computationally intractable problems or estimators with excessive privacy loss.…

Machine Learning · Computer Science 2020-07-23 Aditya Dhar , Jason Huang

In the intricate dance of multi-agent systems, achieving average consensus is not just vital--it is the backbone of their functionality. In conventional average consensus algorithms, all agents reach an agreement by individual calculations…

Multiagent Systems · Computer Science 2024-12-12 Huqiang Cheng , Mengying Xie , Xiaowei Yang , Qingguo Lü , Huaqing Li

Differential privacy is a mathematical framework for privacy-preserving data analysis. Changing the hyperparameters of a differentially private algorithm allows one to trade off privacy and utility in a principled way. Quantifying this…

Machine Learning · Statistics 2020-07-23 Brendan Avent , Javier Gonzalez , Tom Diethe , Andrei Paleyes , Borja Balle

Formal disclosure avoidance techniques are necessary to ensure that published data can not be used to identify information about individuals. The addition of statistical noise to unpublished data can be implemented to achieve differential…

Methodology · Statistics 2024-06-10 Ryan Janicki , Scott H. Holan , Kyle M. Irimata , James Livsey , Andrew Raim

We consider distributed optimization over a $d$-dimensional space, where $K$ remote clients send coded gradient estimates over an {\em additive Gaussian Multiple Access Channel (MAC)} with noise variance $\sigma_z^2$. Furthermore, the…

Information Theory · Computer Science 2023-10-06 Shubham Jha

Image data collected in the wild often contains private information such as faces and license plates, and responsible data release must ensure that this information stays hidden. At the same time, released data should retain its usefulness…

Machine Learning · Computer Science 2025-12-19 Saeed Mahloujifar , Narine Kokhlikyan , Chuan Guo , Kamalika Chaudhuri

We consider the problem of designing a survey to aggregate non-verifiable information from a privacy-sensitive population: an analyst wants to compute some aggregate statistic from the private bits held by each member of a population, but…

Computer Science and Game Theory · Computer Science 2014-04-25 Arpita Ghosh , Katrina Ligett , Aaron Roth , Grant Schoenebeck

Conventionally, in a differentially private additive noise mechanism, independent and identically distributed (i.i.d.) noise samples are added to each coordinate of the response. In this work, we formally present the addition of noise that…

Cryptography and Security · Computer Science 2025-01-28 Gokularam Muthukrishnan , Sheetal Kalyani

This paper studies the average consensus problem with differential privacy of initial states, for which it is widely recognized that there is a trade-off between the mean-square computation accuracy and privacy level. Considering the…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Lei Wang , Weijia Liu , Fanghong Guo , Zixin Qiao , Zhengguang Wu

Collaborative inference in next-generation networks can enhance Artificial Intelligence (AI) applications, including autonomous driving, personal identification, and activity classification. This method involves a three-stage process: a)…

Information Theory · Computer Science 2024-06-04 Mohamed Seif , Yuqi Nie , Andrea Goldsmith , Vincent Poor

We consider a scenario in which a database stores sensitive data of users and an analyst wants to estimate statistics of the data. The users may suffer a cost when their data are used in which case they should be compensated. The analyst…

Computer Science and Game Theory · Computer Science 2012-04-19 Lisa Fleischer , Yu-Han Lyu

Decentralized algorithms for stochastic optimization and learning rely on the diffusion of information as a result of repeated local exchanges of intermediate estimates. Such structures are particularly appealing in situations where agents…

Machine Learning · Computer Science 2020-10-26 Stefan Vlaski , Ali H. Sayed

We propose a new dynamic average consensus algorithm that is robust to information-sharing noise arising from differential-privacy design. Not only is dynamic average consensus widely used in cooperative control and distributed tracking, it…

Cryptography and Security · Computer Science 2023-07-13 Yongqiang Wang

The ratio of two Gaussians is useful in many contexts of statistical inference. We discuss statistically valid inference of the ratio under Differential Privacy (DP). We use the delta method to derive the asymptotic distribution of the…

Methodology · Statistics 2022-06-30 Jingang Miao , Yiming Paul Li

Mean estimation under differential privacy is a fundamental problem, but worst-case optimal mechanisms do not offer meaningful utility guarantees in practice when the global sensitivity is very large. Instead, various heuristics have been…

Cryptography and Security · Computer Science 2021-11-02 Ziyue Huang , Yuting Liang , Ke Yi