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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

Differential privacy is a de facto privacy framework that has seen adoption in practice via a number of mature software platforms. Implementation of differentially private (DP) mechanisms has to be done carefully to ensure end-to-end…

Cryptography and Security · Computer Science 2024-09-12 Jiankai Jin , Eleanor McMurtry , Benjamin I. P. Rubinstein , Olga Ohrimenko

Privacy and communication constraints are two major bottlenecks in federated learning (FL) and analytics (FA). We study the optimal accuracy of mean and frequency estimation (canonical models for FL and FA respectively) under joint…

Machine Learning · Statistics 2023-04-05 Wei-Ning Chen , Dan Song , Ayfer Ozgur , Peter Kairouz

We propose a numerical accountant for evaluating the tight $(\varepsilon,\delta)$-privacy loss for algorithms with discrete one dimensional output. The method is based on the privacy loss distribution formalism and it uses the recently…

Machine Learning · Statistics 2021-06-24 Antti Koskela , Joonas Jälkö , Lukas Prediger , Antti Honkela

Performing low-rank matrix completion with sensitive user data calls for privacy-preserving approaches. In this work, we propose a novel noise addition mechanism for preserving differential privacy where the noise distribution is inspired…

Cryptography and Security · Computer Science 2022-06-17 R Adithya Gowtham , Gokularam M , Thulasi Tholeti , Sheetal Kalyani

We propose a general learning framework for the protection mechanisms that protects privacy via distorting model parameters, which facilitates the trade-off between privacy and utility. The algorithm is applicable to arbitrary privacy…

Machine Learning · Computer Science 2023-06-06 Xiaojin Zhang , Wenjie Li , Kai Chen , Shutao Xia , Qiang Yang

We prove a regret lower bound for Gaussian-process bandits on a smooth compact Riemannian manifold $\M$ of dimension $d$ with intrinsic Mat\'ern-$\nu$ kernel ($\nu>d/2$) that exposes how the geometry of the arm space enters the constant.…

Signal Processing · Electrical Eng. & Systems 2026-05-14 Yuriy Dorn , Changsheng Chen , Ning Xie

Individual privacy accounting enables bounding differential privacy (DP) loss individually for each participant involved in the analysis. This can be informative as often the individual privacy losses are considerably smaller than those…

Cryptography and Security · Computer Science 2023-08-25 Antti Koskela , Marlon Tobaben , Antti Honkela

Most differential privacy mechanisms are applied (i.e., composed) numerous times on sensitive data. We study the design of optimal differential privacy mechanisms in the limit of a large number of compositions. As a consequence of the law…

Cryptography and Security · Computer Science 2022-07-04 Wael Alghamdi , Shahab Asoodeh , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar , Fei Wei

It is often necessary to disclose training data to the public domain, while protecting privacy of certain sensitive labels. We use information theoretic measures to develop such privacy preserving data disclosure mechanisms. Our mechanism…

Information Theory · Computer Science 2019-04-08 Tianrui Xiao , Ashish Khisti

In this paper, we propose the discrete Gaussian based differentially private federated learning (D2P-Fed), a unified scheme to achieve both differential privacy (DP) and communication efficiency in federated learning (FL). In particular,…

Machine Learning · Statistics 2021-01-05 Lun Wang , Ruoxi Jia , Dawn Song

Privacy has become a major concern in machine learning. In fact, the federated learning is motivated by the privacy concern as it does not allow to transmit the private data but only intermediate updates. However, federated learning does…

Machine Learning · Computer Science 2022-09-19 Qiongxiu Li , Jaron Skovsted Gundersen , Katrine Tjell , Rafal Wisniewski , Mads Græsbøll Christensen

Given a trained model and a data sample, membership-inference (MI) attacks predict whether the sample was in the model's training set. A common countermeasure against MI attacks is to utilize differential privacy (DP) during model training…

Cryptography and Security · Computer Science 2022-04-14 Saeed Mahloujifar , Alexandre Sablayrolles , Graham Cormode , Somesh Jha

In this paper, we design user-centric obfuscation mechanisms that impose the minimum utility loss for guaranteeing user's privacy. We optimize utility subject to a joint guarantee of differential privacy (indistinguishability) and…

Cryptography and Security · Computer Science 2015-05-29 Reza Shokri

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

Publishing open graph data while preserving individual privacy remains challenging when data publishers and data users are distinct entities. Although differential privacy (DP) provides rigorous guarantees, most existing approaches enforce…

Machine Learning · Computer Science 2026-03-25 Muhao Guo , Jiaqi Wu , Yizheng Liao , Wenke Lee , Shengzhe Chen , Yang Weng

We propose PACE-GGM, a data-adaptive differentially private method for covariance estimation that concentrates its privacy budget on the most informative entries of the empirical covariance matrix, rather than perturbing all entries. This…

Machine Learning · Computer Science 2026-05-26 Cecilia Ferrando , Miguel Fuentes , Brett Mullins , Cameron Musco , Daniel Sheldon

Deep learning models are often trained on datasets that contain sensitive information such as individuals' shopping transactions, personal contacts, and medical records. An increasingly important line of work therefore has sought to train…

Machine Learning · Computer Science 2020-07-23 Zhiqi Bu , Jinshuo Dong , Qi Long , Weijie J. Su

We investigate the structural foundations of statistical efficiency under $\alpha$-local differential privacy, with a focus on maximizing Fisher information. Building on the role of continuous staircase mechanisms, we identify a fundamental…

Statistics Theory · Mathematics 2026-03-31 Chiara Amorino , Arnaud Gloter

We present a simple perturbation mechanism for the release of $d$-dimensional covariance matrices $\Sigma$ under pure differential privacy. For large datasets with at least $n\geq d^2/\varepsilon$ elements, our mechanism recovers the…

Machine Learning · Computer Science 2026-02-03 Tommaso d'Orsi , Gleb Novikov