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Differential privacy (DP) can be achieved in a distributed manner, where multiple parties add independent noise such that their sum protects the overall dataset with DP. A common technique here is for each party to sample their noise from…

密码学与安全 · 计算机科学 2025-04-08 Charlie Harrison , Pasin Manurangsi

We introduce the multi-dimensional Skellam mechanism, a discrete differential privacy mechanism based on the difference of two independent Poisson random variables. To quantify its privacy guarantees, we analyze the privacy loss…

机器学习 · 计算机科学 2021-11-01 Naman Agarwal , Peter Kairouz , Ziyu Liu

We derive the optimal $(0, \delta)$-differentially private query-output independent noise-adding mechanism for single real-valued query function under a general cost-minimization framework. Under a mild technical condition, we show that the…

密码学与安全 · 计算机科学 2019-02-06 Quan Geng , Wei Ding , Ruiqi Guo , Sanjiv Kumar

The randomized power method has gained significant interest due to its simplicity and efficient handling of large-scale spectral analysis and recommendation tasks. However, its application to large datasets containing personal information…

机器学习 · 计算机科学 2025-06-13 Julien Nicolas , César Sabater , Mohamed Maouche , Sonia Ben Mokhtar , Mark Coates

We study the fundamental problem of the construction of optimal randomization in Differential Privacy. Depending on the clipping strategy or additional properties of the processing function, the corresponding sensitivity set theoretically…

密码学与安全 · 计算机科学 2023-09-29 Hanshen Xiao , Jun Wan , Srinivas Devadas

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…

机器学习 · 计算机科学 2026-03-25 Muhao Guo , Jiaqi Wu , Yizheng Liao , Wenke Lee , Shengzhe Chen , Yang Weng

We study the canonical statistical task of computing the principal component from $n$ i.i.d.~data in $d$ dimensions under $(\varepsilon,\delta)$-differential privacy. Although extensively studied in literature, existing solutions fall short…

机器学习 · 计算机科学 2022-05-30 Xiyang Liu , Weihao Kong , Prateek Jain , Sewoong Oh

We provide improved differentially private algorithms for identity testing of high-dimensional distributions. Specifically, for $d$-dimensional Gaussian distributions with known covariance $\Sigma$, we can test whether the distribution…

数据结构与算法 · 计算机科学 2022-07-26 Shyam Narayanan

This paper studies distributed stochastic nonconvex optimization problems with compressed communication and differential privacy, in which each agent aims to minimize the sum of all agents' cost functions by using local compressed…

最优化与控制 · 数学 2026-03-24 Antai Xie , Xiaoqiang Ren , Xinlei Yi , Tao Yang , Xiaofan Wang

Given a group size m and a sensitive dataset D, group privacy (GP) releases information about D with the guarantee that the adversary cannot infer with high confidence whether the underlying data is D or a neighboring dataset D' that…

密码学与安全 · 计算机科学 2024-08-27 Yangfan Jiang , Xinjian Luo , Yin Yang , Xiaokui Xiao

We show that Thompson Sampling with Gaussian Prior as detailed by Algorithm 2 in (Agrawal & Goyal, 2013) is already differentially private. Theorem 1 show that it enjoys a very competitive privacy loss of only $\mathcal{O}(\ln^2 T)$ after T…

密码学与安全 · 计算机科学 2018-06-26 Aristide C. Y. Tossou , Christos Dimitrakakis

Protecting data privacy in deep learning (DL) is of crucial importance. Several celebrated privacy notions have been established and used for privacy-preserving DL. However, many existing mechanisms achieve privacy at the cost of…

机器学习 · 计算机科学 2024-08-13 Wenqi Tao , Huaming Ling , Zuoqiang Shi , Bao Wang

Gaussian Mixture Models (GMMs) are widely used statistical models for representing multi-modal data distributions, with numerous applications in data mining, pattern recognition, data simulation, and machine learning. However, recent…

信息论 · 计算机科学 2026-03-24 Hang Liu , Anna Scaglione , Sean Peisert

Differential privacy guarantees allow the results of a statistical analysis involving sensitive data to be released without compromising the privacy of any individual taking part. Achieving such guarantees generally requires the injection…

机器学习 · 统计学 2023-10-31 Jack Jewson , Sahra Ghalebikesabi , Chris Holmes

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…

密码学与安全 · 计算机科学 2022-07-04 Wael Alghamdi , Shahab Asoodeh , Flavio P. Calmon , Oliver Kosut , Lalitha Sankar , Fei Wei

Federated learning is distributed model training across several clients without disclosing raw data. Despite advancements in data privacy, risks still remain. Differential Privacy (DP) is a technique to protect sensitive data by adding…

机器学习 · 计算机科学 2025-10-14 Tejash Varsani

Algorithms such as Differentially Private SGD enable training machine learning models with formal privacy guarantees. However, there is a discrepancy between the protection that such algorithms guarantee in theory and the protection they…

Gaussian sketching, which consists of pre-multiplying the data with a random Gaussian matrix, is a widely used technique for multiple problems in data science and machine learning, with applications spanning computationally efficient…

机器学习 · 计算机科学 2025-06-05 Omri Lev , Vishwak Srinivasan , Moshe Shenfeld , Katrina Ligett , Ayush Sekhari , Ashia C. Wilson

Differential privacy (DP), provides a framework for provable privacy protection against arbitrary adversaries, while allowing the release of summary statistics and synthetic data. We address the problem of releasing a noisy real-valued…

统计方法学 · 统计学 2024-11-04 Jordan Awan , Aleksandra Slavkovic

Differential privacy (DP) is an essential technique for privacy-preserving. It was found that a large model trained for privacy preserving performs worse than a smaller model (e.g. ResNet50 performs worse than ResNet18). To better…

机器学习 · 计算机科学 2021-11-30 Yinchen Shen , Zhiguo Wang , Ruoyu Sun , Xiaojing Shen