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This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

最优化与控制 · 数学 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi

We revisit the well-studied problem of differentially private empirical risk minimization (ERM). We show that for unconstrained convex generalized linear models (GLMs), one can obtain an excess empirical risk of $\tilde…

密码学与安全 · 计算机科学 2021-03-04 Shuang Song , Thomas Steinke , Om Thakkar , Abhradeep Thakurta

Distributed machine learning is an approach allowing different parties to learn a model over all data sets without disclosing their own data. In this paper, we propose a weighted distributed differential privacy (WD-DP) empirical risk…

机器学习 · 计算机科学 2021-10-22 Yilin Kang , Yong Liu , Weiping Wang

We study differentially private distributed optimization under communication constraints. A server using SGD for optimization aggregates the client-side local gradients for model updates using distributed mean estimation (DME). We develop a…

机器学习 · 计算机科学 2023-02-23 Antonious M. Girgis , Suhas Diggavi

In this paper, we consider efficient differentially private empirical risk minimization from the viewpoint of optimization algorithms. For strongly convex and smooth objectives, we prove that gradient descent with output perturbation not…

机器学习 · 计算机科学 2017-05-25 Jiaqi Zhang , Kai Zheng , Wenlong Mou , Liwei Wang

Reinforcement learning (RL) is a powerful tool for sequential decision-making, but its application is often hindered by privacy concerns arising from its interaction data. This challenge is particularly acute in advanced networked systems,…

机器学习 · 计算机科学 2025-11-18 Shaojie Bai , Mohammad Sadegh Talebi , Chengcheng Zhao , Peng Cheng , Jiming Chen

Finding efficient, easily implementable differentially private (DP) algorithms that offer strong excess risk bounds is an important problem in modern machine learning. To date, most work has focused on private empirical risk minimization…

机器学习 · 计算机科学 2024-09-23 Andrew Lowy , Meisam Razaviyayn

Machine learning models can leak information about the data used to train them. To mitigate this issue, Differentially Private (DP) variants of optimization algorithms like Stochastic Gradient Descent (DP-SGD) have been designed to…

机器学习 · 计算机科学 2022-10-24 Paul Mangold , Aurélien Bellet , Joseph Salmon , Marc Tommasi

In this paper, we initiate a systematic investigation of differentially private algorithms for convex empirical risk minimization. Various instantiations of this problem have been studied before. We provide new algorithms and matching lower…

机器学习 · 计算机科学 2014-10-21 Raef Bassily , Adam Smith , Abhradeep Thakurta

Differentially Private Stochastic Gradient Descent (DP-SGD) forms a fundamental building block in many applications for learning over sensitive data. Two standard approaches, privacy amplification by subsampling, and privacy amplification…

机器学习 · 计算机科学 2020-07-31 Borja Balle , Peter Kairouz , H. Brendan McMahan , Om Thakkar , Abhradeep Thakurta

The shuffle model of Differential Privacy (DP) has gained significant attention in privacy-preserving data analysis due to its remarkable tradeoff between privacy and utility. It is characterized by adding a shuffling procedure after each…

组合数学 · 数学 2024-01-10 E Chen , Yang Cao , Yifei Ge

Differentially private SGD (DP-SGD) is one of the most popular methods for solving differentially private empirical risk minimization (ERM). Due to its noisy perturbation on each gradient update, the error rate of DP-SGD scales with the…

机器学习 · 计算机科学 2021-04-27 Yingxue Zhou , Zhiwei Steven Wu , Arindam Banerjee

The Differentially Private Stochastic Gradient Descent (DP-SGD) algorithm supports the training of machine learning (ML) models with formal Differential Privacy (DP) guarantees. Traditionally, DP-SGD processes training data in batches using…

密码学与安全 · 计算机科学 2025-12-15 Meenatchi Sundaram Muthu Selva Annamalai , Borja Balle , Jamie Hayes , Emiliano De Cristofaro

While many solutions for privacy-preserving convex empirical risk minimization (ERM) have been developed, privacy-preserving nonconvex ERM remains a challenge. We study nonconvex ERM, which takes the form of minimizing a finite-sum of…

机器学习 · 计算机科学 2023-02-03 Lingxiao Wang , Bargav Jayaraman , David Evans , Quanquan Gu

Differentially private (DP) machine learning algorithms incur many sources of randomness, such as random initialization, random batch subsampling, and shuffling. However, such randomness is difficult to take into account when proving…

机器学习 · 统计学 2023-11-02 Chendi Wang , Buxin Su , Jiayuan Ye , Reza Shokri , Weijie J. Su

We consider a distributed empirical risk minimization (ERM) optimization problem with communication efficiency and privacy requirements, motivated by the federated learning (FL) framework. Unique challenges to the traditional ERM problem in…

机器学习 · 计算机科学 2020-09-24 Antonious M. Girgis , Deepesh Data , Suhas Diggavi , Peter Kairouz , Ananda Theertha Suresh

In this paper, we study differentially private empirical risk minimization (DP-ERM). It has been shown that the worst-case utility of DP-ERM reduces polynomially as the dimension increases. This is a major obstacle to privately learning…

机器学习 · 计算机科学 2023-04-11 Paul Mangold , Aurélien Bellet , Joseph Salmon , Marc Tommasi

Differentially Private Stochastic Gradient Descent (DP-SGD) is the dominant paradigm for private training, but its fundamental limitations under worst-case adversarial privacy definitions remain poorly understood. We analyze DP-SGD in the…

机器学习 · 计算机科学 2026-04-17 Murat Bilgehan Ertan , Marten van Dijk

Stochastic gradient descent (SGD) is perhaps the most prevalent optimization method in modern machine learning. Contrary to the empirical practice of sampling from the datasets without replacement and with (possible) reshuffling at each…

最优化与控制 · 数学 2024-02-08 Xufeng Cai , Cheuk Yin Lin , Jelena Diakonikolas

Training large neural networks with meaningful/usable differential privacy security guarantees is a demanding challenge. In this paper, we tackle this problem by revisiting the two key operations in Differentially Private Stochastic…

机器学习 · 计算机科学 2022-10-11 Hanshen Xiao , Jun Wan , Srinivas Devadas
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