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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

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

Differentially private empirical risk minimization (DP-ERM) is a fundamental problem in private optimization. While the theory of DP-ERM is well-studied, as large-scale models become prevalent, traditional DP-ERM methods face new…

机器学习 · 计算机科学 2024-06-05 Yin Tat Lee , Daogao Liu , Zhou Lu

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

The theoretical and empirical performance of Empirical Risk Minimization (ERM) often suffers when loss functions are poorly behaved with large Lipschitz moduli and spurious sharp minimizers. We propose and analyze a counterpart to ERM…

最优化与控制 · 数学 2021-07-08 Matthew Norton , Johannes O. Royset

Label differential privacy (DP) is designed for learning problems involving private labels and public features. While various methods have been proposed for learning under label DP, the theoretical limits remain largely unexplored. In this…

机器学习 · 计算机科学 2025-03-04 Puning Zhao , Chuan Ma , Li Shen , Shaowei Wang , Rongfei Fan

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

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 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

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 investigate the fundamental performance limitations of learning algorithms in several Domain Generalisation (DG) settings. Motivated by the difficulty with which previously proposed methods have in reliably outperforming Empirical Risk…

机器学习 · 统计学 2024-05-24 Henry Gouk , Ondrej Bohdal , Da Li , Timothy Hospedales

We study the minimal error of the Empirical Risk Minimization (ERM) procedure in the task of regression, both in the random and the fixed design settings. Our sharp lower bounds shed light on the possibility (or impossibility) of adapting…

统计理论 · 数学 2021-02-25 Gil Kur , Alexander Rakhlin

Empirical Risk Minimization (ERM) algorithms are widely used in a variety of estimation and prediction tasks in signal-processing and machine learning applications. Despite their popularity, a theory that explains their statistical…

机器学习 · 统计学 2020-07-07 Hossein Taheri , Ramtin Pedarsani , Christos Thrampoulidis

Despite intense interest and considerable effort, the current generation of neural networks suffers a significant loss of accuracy under most practically relevant privacy training regimes. One particularly challenging class of neural…

机器学习 · 计算机科学 2021-06-07 Huanyu Zhang , Ilya Mironov , Meisam Hejazinia

It is common practice to use data containing personal information to build predictive models in the framework of empirical risk minimization (ERM). While these models can be highly accurate in prediction, sharing the results from these…

机器学习 · 统计学 2024-09-30 Spencer Giddens , Yiwang Zhou , Kevin R. Krull , Tara M. Brinkman , Peter X. K. Song , Fang Liu

Motivated by problems arising in digital advertising, we introduce the task of training differentially private (DP) machine learning models with semi-sensitive features. In this setting, a subset of the features is known to the attacker…

Differential privacy provides a formal framework for releasing statistical estimators that limit how much any single observation can influence the output, by injecting calibrated random noise. We study differentially private estimation in…

统计理论 · 数学 2026-05-26 Joowon Lee , Guanhua Chen

This paper studies the problem of differentially private empirical risk minimization (DP-ERM) for binary linear classification. We obtain an efficient $(\varepsilon,\delta)$-DP algorithm with an empirical zero-one risk bound of…

机器学习 · 计算机科学 2025-06-02 Erchi Wang , Yuqing Zhu , Yu-Xiang Wang

We study the sample complexity of the best-case Empirical Risk Minimizer in the setting of stochastic convex optimization. We show that there exists an instance in which the sample size is linear in the dimension, learning is possible, but…

机器学习 · 计算机科学 2026-02-10 Tal Burla , Roi Livni
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