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Privacy-preserving distributed processing has received considerable attention recently. The main purpose of these algorithms is to solve certain signal processing tasks over a network in a decentralised fashion without revealing…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Sebastian O. Jordan , Qiongxiu Li , Richard Heusdens

This paper presents a family of algorithms for decentralized convex composite problems. We consider the setting of a network of agents that cooperatively minimize a global objective function composed of a sum of local functions plus a…

Optimization and Control · Mathematics 2023-02-14 Yichuan Li , Petros G. Voulgaris , Dusan M. Stipanovic , Nikolaos M. Freris

This paper investigates the distributed online optimization problem over a multi-agent network subject to local set constraints and coupled inequality constraints, which has a lot of applications in many areas, such as wireless sensor…

Optimization and Control · Mathematics 2020-07-14 Xiuxian Li , Xinlei Yi , Lihua Xie

We consider a distributed optimal power flow formulated as an optimization problem that maximizes a nondifferentiable concave function. Solving such a problem by the existing distributed algorithms can lead to data privacy issues because…

Optimization and Control · Mathematics 2021-10-13 Minseok Ryu , Kibaek Kim

Distributed optimization and learning has recently garnered great attention due to its wide applications in sensor networks, smart grids, machine learning, and so forth. Despite rapid development, existing distributed optimization and…

Machine Learning · Computer Science 2024-03-04 Ziqin Chen , Yongqiang Wang

Consensus optimization enables autonomous agents to solve joint tasks through peer-to-peer exchanges alone. Classical decentralized gradient descent is appealing for its minimal state but fails to achieve exact consensus with fixed…

Optimization and Control · Mathematics 2025-12-02 Hong Wang

Distance Metric Learning (DML) has drawn much attention over the last two decades. A number of previous works have shown that it performs well in measuring the similarities of individuals given a set of correctly labeled pairwise data by…

Machine Learning · Computer Science 2020-03-31 Jing Li , Yuangang Pan , Yulei Sui , Ivor W. Tsang

In distributed networks, calculating the maximum element is a fundamental task in data analysis, known as the distributed maximum consensus problem. However, the sensitive nature of the data involved makes privacy protection essential.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-17 Wenrui Yu , Richard Heusdens , Jun Pang , Qiongxiu Li

We consider distributed optimization as motivated by machine learning in a multi-agent system: each agent holds local data and the goal is to minimize an aggregate loss function over a common model, via an interplay of local training and…

Optimization and Control · Mathematics 2025-04-08 Dingran Yi , Fanhao Zeng , Nikolaos M. Freris

We present an optimization framework for solving multi-agent nonlinear programs subject to inequality constraints while keeping the agents' state trajectories private. Each agent has an objective function depending only upon its own state…

Optimization and Control · Mathematics 2016-08-03 Matthew Hale , Magnus Egerstedt

When collecting information, local differential privacy (LDP) alleviates privacy concerns of users because their private information is randomized before being sent it to the central aggregator. LDP imposes large amount of noise as each…

Cryptography and Security · Computer Science 2020-08-04 Tianhao Wang , Bolin Ding , Min Xu , Zhicong Huang , Cheng Hong , Jingren Zhou , Ninghui Li , Somesh Jha

We propose a novel Decentralized Differentially Private Power Method (D-DP-PM) for performing Principal Component Analysis (PCA) in networked multi-agent settings. Unlike conventional decentralized PCA approaches where each agent accesses…

Machine Learning · Computer Science 2025-07-31 Andrew Campbell , Anna Scaglione , Sean Peisert

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

For distributed computing with Byzantine machines under Privacy Protection (PP) constraints, this paper develops a robust PP distributed quasi-Newton estimation, which only requires the node machines to transmit five vectors to the central…

Machine Learning · Statistics 2024-08-23 Chuhan Wang , Lixing Zhu , Xuehu Zhu

The exponential growth of data collection necessitates robust privacy protections that preserve data utility. We address information disclosure against adversaries with bounded prior knowledge, modeled by an entropy constraint $H(X) \geq…

Cryptography and Security · Computer Science 2026-03-27 Genqiang Wu , Xiaoying Zhang , Yu Qi , Hao Wang , Jikui Wang , Yeping He

Distributed stochastic optimization enables multi-agent collaboration in applications such as distributed learning and sensor networks, but also raises critical privacy concerns due to the involvement of sensitive data. While existing…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Haoqiang Zhou , Chi Chen , Yongfeng Zhi , Huan Gao

Distributed online stochastic optimization has received extensive attention in large-scale distributed learning and other related fields due to its unique advantage in processing streaming data. However, information exchange through the…

Optimization and Control · Mathematics 2026-05-29 Zhiguo Zhang , Cheng Kui , Qian Ma , Dongrui Wu

We introduce a new zeroth-order algorithm for private stochastic optimization on nonconvex and nonsmooth objectives. Given a dataset of size $M$, our algorithm ensures $(\alpha,\alpha\rho^2/2)$-R\'enyi differential privacy and finds a…

Optimization and Control · Mathematics 2024-07-01 Qinzi Zhang , Hoang Tran , Ashok Cutkosky

Metric Differential Privacy (mDP) generalizes Local Differential Privacy (LDP) by adapting privacy guarantees based on pairwise distances, enabling context-aware protection and improved utility. While existing optimization-based methods…

Machine Learning · Computer Science 2026-01-16 Chenxi Qiu

In this paper, we propose two communication efficient decentralized optimization algorithms over a general directed multi-agent network. The first algorithm, termed Compressed Push-Pull (CPP), combines the gradient tracking Push-Pull method…

Optimization and Control · Mathematics 2024-04-11 Zhuoqing Song , Lei Shi , Shi Pu , Ming Yan