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In recent years, differential privacy has emerged as the de facto standard for sharing statistics of datasets while limiting the disclosure of private information about the involved individuals. This is achieved by randomly perturbing the…

密码学与安全 · 计算机科学 2024-12-18 Aras Selvi , Huikang Liu , Wolfram Wiesemann

Local differential privacy (LDP) is increasingly employed in privacy-preserving machine learning to protect user data before sharing it with an untrusted aggregator. Most LDP methods assume that users possess only a single data record,…

机器学习 · 计算机科学 2025-05-05 Behnoosh Zamanlooy , Mario Diaz , Shahab Asoodeh

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…

密码学与安全 · 计算机科学 2023-08-25 Antti Koskela , Marlon Tobaben , Antti Honkela

Although there exist plentiful theories of empirical risk minimization (ERM) for supervised learning, current theoretical understandings of ERM for a related problem---stochastic convex optimization (SCO), are limited. In this work, we…

机器学习 · 计算机科学 2017-02-08 Lijun Zhang , Tianbao Yang , Rong Jin

We study the limits and capability of public-data assisted differentially private (PA-DP) algorithms. Specifically, we focus on the problem of stochastic convex optimization (SCO) with either labeled or unlabeled public data. For…

机器学习 · 计算机科学 2024-03-07 Enayat Ullah , Michael Menart , Raef Bassily , Cristóbal Guzmán , Raman Arora

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…

机器学习 · 计算机科学 2022-10-13 Hoang Tran , Ashok Cutkosky

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…

机器学习 · 计算机科学 2024-02-21 Ziteng Sun , Ananda Theertha Suresh , Aditya Krishna Menon

We study regret minimization under privacy constraints in episodic inhomogeneous linear Markov Decision Processes (MDPs), motivated by the growing use of reinforcement learning (RL) in personalized decision-making systems that rely on…

机器学习 · 计算机科学 2025-04-29 Sharan Sahu

We study elliptical distributions in locally convex vector spaces, and determine conditions when they can or cannot be used to satisfy differential privacy (DP). A requisite condition for a sanitized statistical summary to satisfy DP is…

密码学与安全 · 计算机科学 2021-05-06 Matthew Reimherr , Jordan Awan

This paper studies how to apply differential privacy to constrained optimization problems whose inputs are sensitive. This task raises significant challenges since random perturbations of the input data often render the constrained…

最优化与控制 · 数学 2021-01-07 Terrence W. K. Mak , Ferdinando Fioretto , Pascal Van Hentenryck

We revisit the problem of empirical risk minimziation (ERM) with differential privacy. We show that noisy AdaGrad, given appropriate knowledge and conditions on the subspace from which gradients can be drawn, achieves a regret comparable to…

机器学习 · 计算机科学 2021-02-02 Peter Kairouz , Mónica Ribero , Keith Rush , Abhradeep Thakurta

Gaussian differential privacy (GDP) is a single-parameter family of privacy notions that provides coherent guarantees to avoid the exposure of sensitive individual information. Despite the extra interpretability and tighter bounds under…

密码学与安全 · 计算机科学 2022-10-18 Yi Liu , Ke Sun , Linglong Kong , Bei Jiang

We design the first node-differentially private algorithm for approximating the number of connected components in a graph. Given a database representing an $n$-vertex graph $G$ and a privacy parameter $\varepsilon$, our algorithm runs in…

数据结构与算法 · 计算机科学 2023-04-17 Iden Kalemaj , Sofya Raskhodnikova , Adam Smith , Charalampos E. Tsourakakis

This paper addresses the problem of minimizing a convex, Lipschitz function $f$ over a convex, compact set $\xset$ under a stochastic bandit feedback model. In this model, the algorithm is allowed to observe noisy realizations of the…

最优化与控制 · 数学 2011-10-11 Alekh Agarwal , Dean P. Foster , Daniel Hsu , Sham M. Kakade , Alexander Rakhlin

Many differentially private (DP) data release systems either output DP synthetic data and leave analysts to perform inference as usual, which can lead to severe miscalibration, or output a DP point estimate without a principled way to do…

机器学习 · 计算机科学 2026-03-03 Amir Asiaee , Samhita Pal

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

In this paper, we study a privacy filter design problem for a sequence of sensor measurements whose joint probability density function (p.d.f.) depends on a private parameter. To ensure parameter privacy, we propose a filter design…

系统与控制 · 电气工程与系统科学 2021-05-25 Ehsan Nekouei , Henrik Sandberg , Mikael Skoglund , Karl H. Johansson

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…

机器学习 · 统计学 2026-04-28 Simone Bombari , Jialei Luo , Inbar Seroussi , Marco Mondelli

Differential privacy (DP) is obtained by randomizing a data analysis algorithm, which necessarily introduces a tradeoff between its utility and privacy. Many DP mechanisms are built upon one of two underlying tools: Laplace and Gaussian…

机器学习 · 计算机科学 2026-04-03 Roy Rinberg , Ilia Shumailov , Vikrant Singhal , Rachel Cummings , Nicolas Papernot

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.…

机器学习 · 计算机科学 2024-04-18 Xinwei Zhang , Zhiqi Bu , Zhiwei Steven Wu , Mingyi Hong