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Privacy preservation is addressed for decentralized optimization, where $N$ agents cooperatively minimize the sum of $N$ convex functions private to these individual agents. In most existing decentralized optimization approaches,…

Optimization and Control · Mathematics 2018-07-03 Chunlei Zhang , Muaz Ahmad , Yongqiang Wang

Noisy gradient descent and its variants are the predominant algorithms for differentially private machine learning. It is a fundamental question to quantify their privacy leakage, yet tight characterizations remain open even in the…

Machine Learning · Computer Science 2024-06-13 Jinho Bok , Weijie Su , Jason M. Altschuler

Distributed machine learning has been widely studied in order to handle exploding amount of data. In this paper, we study an important yet less visited distributed learning problem where features are inherently distributed or vertically…

Machine Learning · Computer Science 2019-07-19 Yaochen Hu , Peng Liu , Linglong Kong , Di Niu

Gradient perturbation, widely used for differentially private optimization, injects noise at every iterative update to guarantee differential privacy. Previous work first determines the noise level that can satisfy the privacy requirement…

Machine Learning · Computer Science 2020-10-27 Da Yu , Huishuai Zhang , Wei Chen , Tie-Yan Liu , Jian Yin

In this paper we consider the problem of minimizing composite objective functions consisting of a convex differentiable loss function plus a non-smooth regularization term, such as $L_1$ norm or nuclear norm, under R\'enyi differential…

Machine Learning · Computer Science 2019-09-26 Chen Chen , Jaewoo Lee

Decentralized optimization is gaining increased traction due to its widespread applications in large-scale machine learning and multi-agent systems. The same mechanism that enables its success, i.e., information sharing among participating…

Optimization and Control · Mathematics 2024-02-07 Yongqiang Wang , Angelia Nedic

Differential privacy provides a theoretical framework for processing a dataset about $n$ users, in a way that the output reveals a minimal information about any single user. Such notion of privacy is usually ensured by noise-adding…

Quantum Physics · Physics 2023-08-23 Armando Angrisani , Mina Doosti , Elham Kashefi

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

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…

Machine Learning · Computer Science 2017-06-01 Katrina Ligett , Seth Neel , Aaron Roth , Bo Waggoner , Z. Steven Wu

Privacy-preserving distributed machine learning becomes increasingly important due to the recent rapid growth of data. This paper focuses on a class of regularized empirical risk minimization (ERM) machine learning problems, and develops…

Machine Learning · Computer Science 2016-03-11 Tao Zhang , Quanyan Zhu

Sensitive statistics are often collected across sets of users, with repeated collection of reports done over time. For example, trends in users' private preferences or software usage may be monitored via such reports. We study the…

Machine Learning · Computer Science 2020-07-28 Úlfar Erlingsson , Vitaly Feldman , Ilya Mironov , Ananth Raghunathan , Kunal Talwar , Abhradeep Thakurta

Privacy protection and nonconvexity are two challenging problems in decentralized optimization and learning involving sensitive data. Despite some recent advances addressing each of the two problems separately, no results have been reported…

Optimization and Control · Mathematics 2022-12-16 Yongqiang Wang , Tamer Basar

Differentially Private Stochastic Gradient Descent (DPSGD) is widely used to protect sensitive data during the training of machine learning models, but its privacy guarantee often comes at a large cost of model performance due to the lack…

Machine Learning · Computer Science 2026-01-16 Hao Liang , Wanrong Zhang , Xinlei He , Kaishun Wu , Hong Xing

Recent research in differential privacy demonstrated that (sub)sampling can amplify the level of protection. For example, for $\epsilon$-differential privacy and simple random sampling with sampling rate $r$, the actual privacy guarantee is…

Applications · Statistics 2022-02-22 Jingchen Hu , Joerg Drechsler , Hang J. Kim

Privacy amplification exploits randomness in data selection to provide tighter differential privacy (DP) guarantees. This analysis is key to DP-SGD's success in machine learning, but, is not readily applicable to the newer state-of-the-art…

Machine Learning · Computer Science 2024-05-07 Christopher A. Choquette-Choo , Arun Ganesh , Thomas Steinke , Abhradeep Thakurta

Distributed aggregative optimization underpins many cooperative optimization and multi-agent control systems, where each agent's objective function depends both on its local optimization variable and an aggregate of all agents' optimization…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Ziqin Chen , Yongqiang Wang

Many machine learning applications are based on data collected from people, such as their tastes and behaviour as well as biological traits and genetic data. Regardless of how important the application might be, one has to make sure…

Machine Learning · Statistics 2017-04-11 Joonas Jälkö , Onur Dikmen , Antti Honkela

The wide deployment of machine learning in recent years gives rise to a great demand for large-scale and high-dimensional data, for which the privacy raises serious concern. Differential privacy (DP) mechanisms are conventionally developed…

Cryptography and Security · Computer Science 2021-05-03 Jungang Yang , Liyao Xiang , Weiting Li , Wei Liu , Xinbing Wang

We consider the privacy amplification properties of a sampling scheme in which a user's data is used in k steps chosen randomly and uniformly from a sequence (or set) of t steps. This sampling scheme has been recently applied in the context…

Machine Learning · Computer Science 2026-01-16 Vitaly Feldman , Moshe Shenfeld

In this brief, we present an enhanced privacy-preserving distributed estimation algorithm, referred to as the ``Double-Private Algorithm," which combines the principles of both differential privacy (DP) and cryptography. The proposed…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Mehdi Korki , Fatemehsadat Hosseiniamin , Hadi Zayyani , Mehdi Bekrani