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We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

In modern decentralized applications, ensuring communication efficiency and privacy for the users are the key challenges. In order to train machine-learning models, the algorithm has to communicate to the data center and sample data for its…

Optimization and Control · Mathematics 2024-04-04 Hoang Huy Nguyen , Yan Li , Tuo Zhao

Recently, researchers proposed various low-precision gradient compression, for efficient communication in large-scale distributed optimization. Based on these work, we try to reduce the communication complexity from a new direction. We…

Machine Learning · Computer Science 2019-01-25 Jianqiao Wangni , Ke Li , Jianbo Shi , Jitendra Malik

This paper considers online distributed convex constrained optimization over a time-varying multi-agent network. Agents in this network cooperate to minimize the global objective function through information exchange with their neighbors…

Optimization and Control · Mathematics 2023-05-09 Wentao Zhang , Yang Shi , Baoyong Zhang , Kaihong Lu , Deming Yuan

This paper considers online optimal control with affine constraints on the states and actions under linear dynamics with bounded random disturbances. The system dynamics and constraints are assumed to be known and time-invariant but the…

Systems and Control · Electrical Eng. & Systems 2021-07-14 Yingying Li , Subhro Das , Na Li

We develop a communication-efficient distributed learning algorithm that is robust against Byzantine worker machines. We propose and analyze a distributed gradient-descent algorithm that performs a simple thresholding based on gradient…

Machine Learning · Computer Science 2021-08-17 Avishek Ghosh , Raj Kumar Maity , Swanand Kadhe , Arya Mazumdar , Kannan Ramchandran

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

In this paper, we consider an online distributed composite optimization problem over a time-varying multi-agent network that consists of multiple interacting nodes, where the objective function of each node consists of two parts: a loss…

Optimization and Control · Mathematics 2020-04-03 Deming Yuan , Yiguang Hong , Daniel W. C. Ho , Shengyuan Xu

This paper investigates the privacy-preserving distributed optimization problem, aiming to protect agents' private information from potential attackers during the optimization process. Gradient tracking, an advanced technique for improving…

Machine Learning · Computer Science 2025-09-24 Furan Xie , Bing Liu , Li Chai

The evaluation of final-iteration tracking performance is a formidable obstacle in distributed online optimization algorithms. To address this issue, this paper proposes a novel evaluation metric named distributed forgetting-factor regret…

Systems and Control · Electrical Eng. & Systems 2025-03-28 Lipo Mo , Jianjun Li , Min Zuo , Lei Wang

We consider online convex optimization with time-varying stage costs and additional switching costs. Since the switching costs introduce coupling across all stages, multi-step-ahead (long-term) predictions are incorporated to improve the…

Machine Learning · Computer Science 2020-11-26 Yingying Li , Na Li

Compression techniques are essential in distributed optimization and learning algorithms with high-dimensional model parameters, particularly in scenarios with tight communication constraints such as limited bandwidth. This article presents…

Optimization and Control · Mathematics 2025-10-27 Souvik Das , Subhrakanti Dey

In this paper, we study the (decentralized) distributed optimization problem with high-dimensional sparse structure. Building upon the FedDA algorithm, we propose a (Decentralized) FedDA-GT algorithm, which combines the \textbf{gradient…

Optimization and Control · Mathematics 2023-12-12 Jiadong Liang , Yang Peng , Zhihua Zhang

We study a generalization of the Online Convex Optimization (OCO) framework with time-varying adversarial constraints. In this setting, at each round, the learner selects an action from a convex decision set $X$, after which both a convex…

Machine Learning · Computer Science 2026-03-30 Dhruv Sarkar , Aprameyo Chakrabartty , Subhamon Supantha , Palash Dey , Abhishek Sinha

This paper considers the online nonstochastic control problem of a linear time-invariant system under convex state and input constraints that need to be satisfied at all times. We propose an algorithm called Online Gradient Descent with…

Optimization and Control · Mathematics 2025-01-31 Nanfei Jiang , Spencer Hutchinson , Mahnoosh Alizadeh

We develop two compression based stochastic gradient algorithms to solve a class of non-smooth strongly convex-strongly concave saddle-point problems in a decentralized setting (without a central server). Our first algorithm is a…

Machine Learning · Computer Science 2023-04-17 Chhavi Sharma , Vishnu Narayanan , P. Balamurugan

We consider decentralized stochastic optimization with the objective function (e.g. data samples for machine learning task) being distributed over $n$ machines that can only communicate to their neighbors on a fixed communication graph. To…

Machine Learning · Computer Science 2019-02-04 Anastasia Koloskova , Sebastian U. Stich , Martin Jaggi

Distributed aggregative optimization is a recently emerged framework in which the agents of a network want to minimize the sum of local objective functions, each one depending on the agent decision variable (e.g., the local position of a…

Optimization and Control · Mathematics 2024-04-08 Guido Carnevale , Nicola Mimmo , Giuseppe Notarstefano

We propose a novel gradient-based online optimization framework for solving stochastic programming problems that frequently arise in the context of cyber-physical and robotic systems. Our problem formulation accommodates constraints that…

Machine Learning · Computer Science 2026-01-06 Hao Ma , Melanie Zeilinger , Michael Muehlebach

Decentralized stochastic optimization has emerged as a fundamental paradigm for large-scale machine learning. However, practical implementations often rely on biased gradient estimators arising from communication compression or inexact…

Optimization and Control · Mathematics 2026-04-10 Qing Xu , Yiwei Liao , Wenqi Fan , Xingxing You , Songyi Dian
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