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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

Traditional approaches to differential privacy assume a fixed privacy requirement $\epsilon$ for a computation, and attempt to maximize the accuracy of the computation subject to the privacy constraint. As differential privacy is…

机器学习 · 计算机科学 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

In this paper we study the differentially private Empirical Risk Minimization (ERM) problem in different settings. For smooth (strongly) convex loss function with or without (non)-smooth regularization, we give algorithms that achieve…

机器学习 · 计算机科学 2018-02-15 Di Wang , Minwei Ye , Jinhui Xu

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

Privacy-preserving machine learning algorithms are crucial for the increasingly common setting in which personal data, such as medical or financial records, are analyzed. We provide general techniques to produce privacy-preserving…

机器学习 · 计算机科学 2011-02-18 Kamalika Chaudhuri , Claire Monteleoni , Anand D. Sarwate

The de-facto standard approach of promoting sparsity by means of $\ell_1$-regularization becomes ineffective in the presence of simplex constraints, i.e.,~the target is known to have non-negative entries summing up to a given constant. The…

统计方法学 · 统计学 2016-05-04 Ping Li , Syama Sundar Rangapuram , Martin Slawski

We consider the problem of differentially private (DP) convex empirical risk minimization (ERM). While the standard DP-SGD algorithm is theoretically well-established, practical implementations often rely on shuffled gradient methods that…

机器学习 · 计算机科学 2026-02-25 Shuli Jiang , Pranay Sharma , Zhiwei Steven Wu , Gauri Joshi

Differential privacy is concerned about the prediction quality while measuring the privacy impact on individuals whose information is contained in the data. We consider differentially private risk minimization problems with regularizers…

机器学习 · 计算机科学 2019-05-14 K S Sesh Kumar , Marc Peter Deisenroth

An algorithm is developed to gradually relax the Differential Privacy (DP) guarantee of a randomized response. The output from each relaxation maintains the same probability distribution as a standard randomized response with the equivalent…

密码学与安全 · 计算机科学 2024-01-26 Mingen Pan

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

The iterative nature of the expectation maximization (EM) algorithm presents a challenge for privacy-preserving estimation, as each iteration increases the amount of noise needed. We propose a practical private EM algorithm that overcomes…

机器学习 · 计算机科学 2016-11-01 Mijung Park , Jimmy Foulds , Kamalika Chaudhuri , Max Welling

In this paper, we study the Empirical Risk Minimization (ERM) problem in the non-interactive Local Differential Privacy (LDP) model. Previous research on this problem \citep{smith2017interaction} indicates that the sample complexity, to…

机器学习 · 计算机科学 2020-11-12 Di Wang , Marco Gaboardi , Adam Smith , Jinhui Xu

We propose a new framework for differentially private optimization of convex functions which are Lipschitz in an arbitrary norm $\|\cdot\|$. Our algorithms are based on a regularized exponential mechanism which samples from the density…

机器学习 · 计算机科学 2022-11-14 Sivakanth Gopi , Yin Tat Lee , Daogao Liu , Ruoqi Shen , Kevin Tian

We consider robust empirical risk minimization (ERM), where model parameters are chosen to minimize the worst-case empirical loss when each data point varies over a given convex uncertainty set. In some simple cases, such problems can be…

最优化与控制 · 数学 2024-09-17 Eric Luxenberg , Dhruv Malik , Yuanzhi Li , Aarti Singh , Stephen Boyd

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving ERM problems with a nonsmooth regularization term. Current second-order and quasi-Newton methods for this…

最优化与控制 · 数学 2018-05-29 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

Neural language models are known to have a high capacity for memorization of training samples. This may have serious privacy implications when training models on user content such as email correspondence. Differential privacy (DP), a…

Differential privacy has become a cornerstone in the development of privacy-preserving learning algorithms. This work addresses optimizing differentially private kernel learning within the empirical risk minimization (ERM) framework. We…

机器学习 · 统计学 2026-04-30 Bonwoo Lee , Cheolwoo Park , Jeongyoun Ahn

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving empirical risk minimization (ERM) problems with a nonsmooth regularization term. Our algorithm is applicable…

机器学习 · 计算机科学 2019-12-16 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

Real-world deployments routinely face distribution shifts, group imbalances, and adversarial perturbations, under which the traditional Empirical Risk Minimization (ERM) framework can degrade severely. Distributionally Robust Optimization…

机器学习 · 计算机科学 2026-02-19 Difei Xu , Meng Ding , Zebin Ma , Huanyi Xie , Youming Tao , Aicha Slaitane , Di Wang

Ensuring the privacy of users whose data are used to train Natural Language Processing (NLP) models is necessary to build and maintain customer trust. Differential Privacy (DP) has emerged as the most successful method to protect the…

密码学与安全 · 计算机科学 2021-07-19 Ricardo Silva Carvalho , Theodore Vasiloudis , Oluwaseyi Feyisetan
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