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In this work, we study trade-offs between accuracy and privacy in the context of linear queries over histograms. This is a rich class of queries that includes contingency tables and range queries, and has been a focus of a long line of…

Data Structures and Algorithms · Computer Science 2013-08-05 Aleksandar Nikolov , Kunal Talwar , Li Zhang

Differential privacy is a rigorous, worst-case notion of privacy-preserving computation. Informally, a probabilistic program is differentially private if the participation of a single individual in the input database has a limited effect on…

Logic in Computer Science · Computer Science 2018-03-16 Gilles Barthe , Marco Gaboardi , Emilio Jesús Gallego Arias , Justin Hsu , César Kunz , Pierre-Yves Strub

Since being proposed in 2006, differential privacy has become a standard method for quantifying certain risks in publishing or sharing analyses of sensitive data. At its heart, differential privacy measures risk in terms of the differences…

Information Theory · Computer Science 2025-11-19 Anand D. Sarwate , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar

We study person-level differentially private (DP) mean estimation in the case where each person holds multiple samples. DP here requires the usual notion of distributional stability when $\textit{all}$ of a person's datapoints can be…

Data Structures and Algorithms · Computer Science 2024-07-22 Sushant Agarwal , Gautam Kamath , Mahbod Majid , Argyris Mouzakis , Rose Silver , Jonathan Ullman

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

Differential privacy provides a rigorous framework to quantify data privacy, and has received considerable interest recently. A randomized mechanism satisfying $(\epsilon, \delta)$-differential privacy (DP) roughly means that, except with a…

Cryptography and Security · Computer Science 2019-12-10 Jun Zhao , Teng Wang , Tao Bai , Kwok-Yan Lam , Zhiying Xu , Shuyu Shi , Xuebin Ren , Xinyu Yang , Yang Liu , Han Yu

We consider the problem of private distributed multi-party multiplication. It is well-established that Shamir secret-sharing coding strategies can enable perfect information-theoretic privacy in distributed computation via the celebrated…

Information Theory · Computer Science 2025-01-20 Viveck R. Cadambe , Ateet Devulapalli , Haewon Jeong , Flavio P. Calmon

Recent research in differential privacy demonstrated that (sub)sampling can amplify the level of protection. For example, for $\epsilon$-differential privacy and simple random sampling with sampling rate $r$, the actual privacy guarantee is…

Applications · Statistics 2022-02-22 Jingchen Hu , Joerg Drechsler , Hang J. Kim

Federated learning promises to make machine learning feasible on distributed, private datasets by implementing gradient descent using secure aggregation methods. The idea is to compute a global weight update without revealing the…

Machine Learning · Computer Science 2019-12-03 Badih Ghazi , Rasmus Pagh , Ameya Velingker

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

We provide the first $\widetilde{\mathcal{O}}\left(d\right)$-sample algorithm for sampling from unbounded Gaussian distributions under the constraint of $\left(\varepsilon, \delta\right)$-differential privacy. This is a quadratic…

Data Structures and Algorithms · Computer Science 2025-03-04 Valentio Iverson , Gautam Kamath , Argyris Mouzakis

In distributed differential privacy, multiple parties collaborate to analyze their combined data while each party protects the confidentiality of its data from the others. Interestingly, for certain fundamental two-party functions, such as…

Cryptography and Security · Computer Science 2025-07-08 Iftach Haitner , Noam Mazor , Jad Silbak , Eliad Tsfadia , Chao Yan

Differential privacy is a promising formal approach to data privacy, which provides a quantitative bound on the privacy cost of an algorithm that operates on sensitive information. Several tools have been developed for the formal…

Logic in Computer Science · Computer Science 2018-03-16 Gilles Barthe , Noémie Fong , Marco Gaboardi , Benjamin Grégoire , Justin Hsu , Pierre-Yves Strub

Strict privacy is of paramount importance in distributed machine learning. Federated learning, with the main idea of communicating only what is needed for learning, has been recently introduced as a general approach for distributed learning…

Cryptography and Security · Computer Science 2020-07-14 Mikko A. Heikkilä , Antti Koskela , Kana Shimizu , Samuel Kaski , Antti Honkela

Ranking aggregation is commonly adopted in cooperative decision-making to assist in combining multiple rankings into a single representative. To protect the actual ranking of each individual, some privacy-preserving strategies, such as…

Cryptography and Security · Computer Science 2022-02-08 Baobao Song , Qiujun Lan , Yang Li , Gang Li

We develop a sharp, experiment-level privacy theory for amplification by shuffling in the Gaussian regime: a fixed finite-output local randomizer with full support and neighboring binary datasets differing in one user. We first prove exact…

Information Theory · Computer Science 2026-03-24 Alex Shvets

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

Differential privacy is the state-of-the-art definition for privacy, guaranteeing that any analysis performed on a sensitive dataset leaks no information about the individuals whose data are contained therein. In this thesis, we develop…

Machine Learning · Computer Science 2023-11-29 Vassilis Digalakis

Ishai et al. (FOCS'06) introduced secure shuffling as an efficient building block for private data aggregation. Recently, the field of differential privacy has revived interest in secure shufflers by highlighting the privacy amplification…

Cryptography and Security · Computer Science 2025-12-02 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

We revisit the input perturbations framework for differential privacy where noise is added to the input $A\in \mathcal{S}$ and the result is then projected back to the space of admissible datasets $\mathcal{S}$. Through this framework, we…

Machine Learning · Computer Science 2024-08-09 Vincent Cohen-Addad , Tommaso d'Orsi , Alessandro Epasto , Vahab Mirrokni , Peilin Zhong
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