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We introduce new algorithms and convergence guarantees for privacy-preserving non-convex Empirical Risk Minimization (ERM) on smooth $d$-dimensional objectives. We develop an improved sensitivity analysis of stochastic gradient descent on…

Machine Learning · Computer Science 2022-10-13 Hoang Tran , Ashok Cutkosky

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…

Machine Learning · Computer Science 2017-05-25 Jiaqi Zhang , Kai Zheng , Wenlong Mou , Liwei Wang

Differentially private (DP) linear regression has received significant attention in the recent theoretical literature, with several approaches proposed to improve error rates. Our work considers the popular high-dimensional regime with…

Machine Learning · Statistics 2026-04-28 Simone Bombari , Jialei Luo , Inbar Seroussi , Marco Mondelli

In this paper, we propose a differentially private decentralized learning method (termed PrivSGP-VR) which employs stochastic gradient push with variance reduction and guarantees $(\epsilon, \delta)$-differential privacy (DP) for each node.…

Machine Learning · Computer Science 2024-05-07 Zehan Zhu , Yan Huang , Xin Wang , Jinming Xu

Differentially Private Stochastic Gradient Descent (DP-SGD) is a standard method for enforcing privacy in deep learning, typically using the Gaussian mechanism to perturb gradient updates. However, conventional mechanisms such as Gaussian…

Cryptography and Security · Computer Science 2025-09-09 Qin Yang , Nicholas Stout , Meisam Mohammady , Han Wang , Ayesha Samreen , Christopher J Quinn , Yan Yan , Ashish Kundu , Yuan Hong

Differentially private (DP) mechanisms face the challenge of providing accurate results while protecting their inputs: the privacy-utility trade-off. A simple but powerful technique for DP adds noise to sensitivity-bounded query outputs to…

Cryptography and Security · Computer Science 2021-07-28 David M. Sommer , Lukas Abfalterer , Sheila Zingg , Esfandiar Mohammadi

Network routing problems are common across many engineering applications. Computing optimal routing policies requires knowledge about network demand, i.e., the origin and destination (OD) of all requests in the network. However, privacy…

Systems and Control · Electrical Eng. & Systems 2022-10-27 Matthew Tsao , Karthik Gopalakrishnan , Kaidi Yang , Marco Pavone

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…

Machine Learning · Computer Science 2024-09-23 Andrew Lowy , Meisam Razaviyayn

Developing a differentially private deep learning algorithm is challenging, due to the difficulty in analyzing the sensitivity of objective functions that are typically used to train deep neural networks. Many existing methods resort to the…

Machine Learning · Computer Science 2019-10-16 Frederik Harder , Jonas Köhler , Max Welling , Mijung Park

We design differentially private algorithms for the problem of online linear optimization in the full information and bandit settings with optimal $\tilde{O}(\sqrt{T})$ regret bounds. In the full-information setting, our results demonstrate…

Machine Learning · Computer Science 2017-06-15 Naman Agarwal , Karan Singh

Recently, due to the popularity of deep neural networks and other methods whose training typically relies on the optimization of an objective function, and due to concerns for data privacy, there is a lot of interest in differentially…

Machine Learning · Computer Science 2025-02-12 Antoine Barczewski , Jan Ramon

Training machine learning models with differential privacy (DP) has received increasing interest in recent years. One of the most popular algorithms for training differentially private models is differentially private stochastic gradient…

Machine Learning · Computer Science 2024-02-21 Ziteng Sun , Ananda Theertha Suresh , Aditya Krishna Menon

This paper proposes a differentially private gradient-tracking-based distributed stochastic optimization algorithm over directed graphs. In particular, privacy noises are incorporated into each agent's state and tracking variable to…

Systems and Control · Electrical Eng. & Systems 2026-04-15 Jialong Chen , Jimin Wang , Ji-Feng Zhang

Differential privacy is a widely accepted measure of privacy in the context of deep learning algorithms, and achieving it relies on a noisy training approach known as differentially private stochastic gradient descent (DP-SGD). DP-SGD…

Machine Learning · Computer Science 2023-07-26 Ce Feng , Nuo Xu , Wujie Wen , Parv Venkitasubramaniam , Caiwen Ding

Differentially Private Stochastic Gradient Descent with Gradient Clipping (DPSGD-GC) is a powerful tool for training deep learning models using sensitive data, providing both a solid theoretical privacy guarantee and high efficiency.…

Machine Learning · Computer Science 2024-04-18 Xinwei Zhang , Zhiqi Bu , Zhiwei Steven Wu , Mingyi Hong

User-level differentially private stochastic convex optimization (DP-SCO) has garnered significant attention due to the paramount importance of safeguarding user privacy in modern large-scale machine learning applications. Current methods,…

Machine Learning · Computer Science 2025-02-14 Badih Ghazi , Ravi Kumar , Daogao Liu , Pasin Manurangsi

The all-pairs shortest distances (APSD) with differential privacy (DP) problem takes as input an undirected, weighted graph $G = (V,E, \mathbf{w})$ and outputs a private estimate of the shortest distances in $G$ between all pairs of…

Data Structures and Algorithms · Computer Science 2024-07-16 Jesse Campbell , Chunjiang Zhu

Modern machine learning algorithms aim to extract fine-grained information from data to provide accurate predictions, which often conflicts with the goal of privacy protection. This paper addresses the practical and theoretical importance…

Machine Learning · Statistics 2023-07-17 Puyu Wang , Yunwen Lei , Yiming Ying , Ding-Xuan Zhou

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…

Machine Learning · Computer Science 2022-10-11 Hanshen Xiao , Jun Wan , Srinivas Devadas

Differentially private deep learning has recently witnessed advances in computational efficiency and privacy-utility trade-off. We explore whether further improvements along the two axes are possible and provide affirmative answers…

Machine Learning · Computer Science 2022-12-06 Jiyan He , Xuechen Li , Da Yu , Huishuai Zhang , Janardhan Kulkarni , Yin Tat Lee , Arturs Backurs , Nenghai Yu , Jiang Bian