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Private machine learning involves addition of noise while training, resulting in lower accuracy. Intuitively, greater stability can imply greater privacy and improve this privacy-utility tradeoff. We study this role of stability in private…

Machine Learning · Computer Science 2020-06-26 Lauren Watson , Benedek Rozemberczki , Rik Sarkar

With changes in privacy laws, there is often a hard requirement for client data to remain on the device rather than being sent to the server. Therefore, most processing happens on the device, and only an altered element is sent to the…

Cryptography and Security · Computer Science 2022-12-27 Ajinkya K Mulay

Alternating Direction Method of Multipliers (ADMM) is a popular algorithm for distributed learning, where a network of nodes collaboratively solve a regularized empirical risk minimization by iterative local computation associated with…

Machine Learning · Computer Science 2020-05-19 Zonghao Huang , Yanmin Gong

Unsupervised anomaly detection (AD) is a challenging task in realistic applications. Recently, there is an increasing trend to detect anomalies with deep neural networks (DNN). However, most popular deep AD detectors cannot protect the…

Machine Learning · Computer Science 2022-05-31 Shaoshen Wang , Yanbin Liu , Ling Chen , Chengqi Zhang

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…

Machine Learning · Computer Science 2025-06-02 Erchi Wang , Yuqing Zhu , Yu-Xiang Wang

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

This paper considers distributed optimization (DO) where multiple agents cooperate to minimize a global objective function, expressed as a sum of local objectives, subject to some constraints. In DO, each agent iteratively solves a local…

Optimization and Control · Mathematics 2023-03-01 Minseok Ryu , Kibaek Kim

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…

Optimization and Control · Mathematics 2021-07-08 Matthew Norton , Johannes O. Royset

As the modern world becomes increasingly digitized and interconnected, distributed signal processing has proven to be effective in processing its large volume of data. However, a main challenge limiting the broad use of distributed signal…

Signal Processing · Electrical Eng. & Systems 2020-10-23 Qiongxiu Li , Richard Heusdens , Mads Græsbøll Christensen

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…

Machine Learning · Computer Science 2019-05-14 K S Sesh Kumar , Marc Peter Deisenroth

We propose a novel framework for the differentially private ERM, input perturbation. Existing differentially private ERM implicitly assumed that the data contributors submit their private data to a database expecting that the database…

Machine Learning · Statistics 2017-10-23 Kazuto Fukuchi , Quang Khai Tran , Jun Sakuma

Distributed model predictive control (DMPC) has attracted extensive attention as it can explicitly handle system constraints and achieve optimal control in a decentralized manner. However, the deployment of DMPC strategies generally…

Systems and Control · Electrical Eng. & Systems 2025-11-21 Kaixiang Zhang , Yongqiang Wang , Ziyou Song , Zhaojian Li

This paper proposes a new distributed nonconvex stochastic optimization algorithm that can achieve privacy protection, communication efficiency and convergence simultaneously. Specifically, each node adds general privacy noises to its local…

Systems and Control · Electrical Eng. & Systems 2025-08-06 Jialong Chen , Jimin Wang , Ji-Feng Zhang

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…

Machine Learning · Computer Science 2022-10-24 Paul Mangold , Aurélien Bellet , Joseph Salmon , Marc Tommasi

Standard differential privacy imposes uniform privacy constraints across all features, overlooking the inherent distinction between sensitive and insensitive features in practice. In this paper, we introduce a relaxed definition of…

Machine Learning · Computer Science 2026-05-06 Tianyu Wang , Luhao Zhang , Rachel Cummings

Many convex optimization problems with important applications in machine learning are formulated as empirical risk minimization (ERM). There are several examples: linear and logistic regression, LASSO, kernel regression, quantile…

Machine Learning · Computer Science 2023-05-30 Song Bian , Zhao Song , Junze Yin

Privacy concerns with sensitive data are receiving increasing attention. In this paper, we study local differential privacy (LDP) in interactive decentralized optimization. By constructing random local aggregators, we propose a framework to…

Optimization and Control · Mathematics 2019-06-04 Hanshen Xiao , Yu Ye , Srinivas Devadas

We propose Noise-Augmented Privacy-Preserving Empirical Risk Minimization (NAPP-ERM) that solves ERM with differential privacy guarantees. Existing privacy-preserving ERM approaches may be subject to over-regularization with the employment…

Machine Learning · Statistics 2021-10-19 Yinan Li , Fang Liu

While machine learning has proven to be a powerful data-driven solution to many real-life problems, its use in sensitive domains has been limited due to privacy concerns. A popular approach known as **differential privacy** offers provable…

Machine Learning · Statistics 2016-04-28 Yu-Xiang Wang , Jing Lei , Stephen E. Fienberg

In distributed optimization and iterative consensus literature, a standard problem is for $N$ agents to minimize a function $f$ over a subset of Euclidean space, where the cost function is expressed as a sum $\sum f_i$. In this paper, we…

Cryptography and Security · Computer Science 2014-01-14 Zhenqi Huang , Sayan Mitra , Nitin Vaidya