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In recent years, differential privacy has been adopted by tech-companies and governmental agencies as the standard for measuring privacy in algorithms. In this article, we study differential privacy in Bayesian posterior sampling settings.…

统计理论 · 数学 2026-02-13 Shenggang Hu , Louis Aslett , Hongsheng Dai , Murray Pollock , Gareth O. Roberts

In this paper, we study the differentially private empirical risk minimization problem where the parameter is constrained to a Riemannian manifold. We introduce a framework of differentially private Riemannian optimization by adding noise…

最优化与控制 · 数学 2022-05-20 Andi Han , Bamdev Mishra , Pratik Jawanpuria , Junbin Gao

In the social sciences, small- to medium-scale datasets are common, and linear regression is canonical. In privacy-aware settings, much work has focused on differentially private (DP) linear regression, but mostly on point estimation with…

机器学习 · 计算机科学 2026-03-31 Shurong Lin , Aleksandra Slavković , Deekshith Reddy Bhoomireddy

Differential privacy is a leading protection setting, focused by design on individual privacy. Many applications, in medical / pharmaceutical domains or social networks, rather posit privacy at a group level, a setting we call integral…

机器学习 · 统计学 2019-07-04 Hisham Husain , Zac Cranko , Richard Nock

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…

应用统计 · 统计学 2022-02-22 Jingchen Hu , Joerg Drechsler , Hang J. Kim

We characterize the minimum noise amplitude and power for noise-adding mechanisms in $(\epsilon, \delta)$-differential privacy for single real-valued query function. We derive new lower bounds using the duality of linear programming, and…

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

Gaussian copulas are widely used to estimate multivariate distributions and relationships. We present algorithms for estimating Gaussian copula correlations that ensure differential privacy. We first convert data values into sets of two-way…

统计方法学 · 统计学 2026-01-08 Shuo Wang , Joseph Feldman , Jerome P. Reiter

Distributed stochastic gradient descent is an important subroutine in distributed learning. A setting of particular interest is when the clients are mobile devices, where two important concerns are communication efficiency and the privacy…

机器学习 · 统计学 2018-05-29 Naman Agarwal , Ananda Theertha Suresh , Felix Yu , Sanjiv Kumar , H. Brendan Mcmahan

Many forms of sensitive data, such as web traffic, mobility data, or hospital occupancy, are inherently sequential. The standard method for training machine learning models while ensuring privacy for units of sensitive information, such as…

Training generative models with differential privacy (DP) typically involves injecting noise into gradient updates or adapting the discriminator's training procedure. As a result, such approaches often struggle with hyper-parameter tuning…

机器学习 · 计算机科学 2024-10-29 Kristjan Greenewald , Yuancheng Yu , Hao Wang , Kai Xu

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…

机器学习 · 计算机科学 2026-05-26 Cecilia Ferrando , Miguel Fuentes , Brett Mullins , Cameron Musco , Daniel Sheldon

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…

数据结构与算法 · 计算机科学 2025-03-04 Valentio Iverson , Gautam Kamath , Argyris Mouzakis

Various differentially private algorithms instantiate the exponential mechanism, and require sampling from the distribution $\exp(-f)$ for a suitable function $f$. When the domain of the distribution is high-dimensional, this sampling can…

机器学习 · 计算机科学 2020-12-18 Arun Ganesh , Kunal Talwar

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

What is the information leakage of an iterative randomized learning algorithm about its training data, when the internal state of the algorithm is \emph{private}? How much is the contribution of each specific training epoch to the…

机器学习 · 统计学 2022-09-12 Rishav Chourasia , Jiayuan Ye , Reza Shokri

We study privacy amplification for differentially private model training with matrix factorization under random allocation (also known as the balls-in-bins model). Recent work by Choquette-Choo et al. (2025) proposes a sampling-based Monte…

机器学习 · 计算机科学 2026-05-18 Jan Schuchardt , Nikita Kalinin

The skip-gram model (SGM), which employs a neural network to generate node vectors, serves as the basis for numerous popular graph embedding techniques. However, since the training datasets contain sensitive linkage information, the…

机器学习 · 计算机科学 2025-03-28 Sen Zhang , Qingqing Ye , Haibo Hu , Jianliang Xu

One goal of statistical privacy research is to construct a data release mechanism that protects individual privacy while preserving information content. An example is a {\em random mechanism} that takes an input database $X$ and outputs a…

统计理论 · 数学 2012-01-11 Larry Wasserman , Shuheng Zhou

Differentially private stochastic gradient descent (DP-SGD) enables private deep learning through per-example clipping and calibrated Gaussian noise, but its high-variance updates can reduce utility on challenging datasets. We propose…

机器学习 · 计算机科学 2026-05-21 Mohammad Partohaghighi , Roummel Marcia

We consider the problem of generating private synthetic versions of real-world graphs containing private information while maintaining the utility of generated graphs. Differential privacy is a gold standard for data privacy, and the…

机器学习 · 计算机科学 2021-11-18 Xu Zheng , Nicholas McCarthy , Jer Hayes