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In this paper, we focus on an aggregative optimization problem under the communication bottleneck. The aggregative optimization is to minimize the sum of local cost functions. Each cost function depends on not only local state variables but…

Optimization and Control · Mathematics 2022-01-07 Ziqin Chen , Shu Liang

We study distributed big-data nonconvex optimization in multi-agent networks. We consider the (constrained) minimization of the sum of a smooth (possibly) nonconvex function, i.e., the agents' sum-utility, plus a convex (possibly) nonsmooth…

Optimization and Control · Mathematics 2018-09-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

This paper addresses two fundamental challenges in distributed online convex optimization: communication efficiency and optimization under limited feedback. We propose Online Compressed Gradient Tracking with one-point Bandit Feedback…

Optimization and Control · Mathematics 2025-05-06 Longkang Zhu , Xinli Shi , Xiangping Xu , Jinde Cao

Motivated by practical federated learning settings where clients may not be always available, we investigate a variant of distributed online optimization where agents are active with a known probability $p$ at each time step, and…

Machine Learning · Computer Science 2024-11-26 Juliette Achddou , Nicolò Cesa-Bianchi , Hao Qiu

This article investigates a distributed aggregative optimization problem subject to coupled affine inequality constraints, in which local objective functions depend not only on their own decision variables but also on an aggregation of all…

Optimization and Control · Mathematics 2023-06-13 Kaixin Du , Min Meng

Communication efficiency is a major bottleneck in the applications of distributed networks. To address the problem, the problem of quantized distributed optimization has attracted a lot of attention. However, most of the existing quantized…

Optimization and Control · Mathematics 2022-11-01 Yongyang Xiong , Ligang Wu , Keyou You , Lihua Xie

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

This paper considers the distributed online bandit optimization problem with nonconvex loss functions over a time-varying digraph. This problem can be viewed as a repeated game between a group of online players and an adversary. At each…

Machine Learning · Computer Science 2024-09-25 Youqing Hua , Shuai Liu , Yiguang Hong , Karl Henrik Johansson , Guangchen Wang

Distributed optimization provides a framework for deriving distributed algorithms for a variety of multi-robot problems. This tutorial constitutes the first part of a two-part series on distributed optimization applied to multi-robot…

Robotics · Computer Science 2024-12-02 Ola Shorinwa , Trevor Halsted , Javier Yu , Mac Schwager

In this paper, we consider distributed optimization problems where the goal is to minimize a sum of objective functions over a multi-agent network. We focus on the case when the inter-agent communication is described by a…

Optimization and Control · Mathematics 2018-06-08 Chenguang Xi , Ran Xin , Usman A. Khan

In this paper, we address tracking of a time-varying parameter with unknown dynamics. We formalize the problem as an instance of online optimization in a dynamic setting. Using online gradient descent, we propose a method that sequentially…

Machine Learning · Computer Science 2016-03-17 Aryan Mokhtari , Shahin Shahrampour , Ali Jadbabaie , Alejandro Ribeiro

This work proposes multi-agent systems setting for concurrent engineering system design optimization and gradually paves the way towards examining graph theoretic constructs in the context of multidisciplinary design optimization problem.…

Optimization and Control · Mathematics 2012-09-18 Amir Noori

This paper studies the online convex optimization problem by using an Online Continuous-Time Nesterov Accelerated Gradient method (OCT-NAG). We show that the continuous-time dynamics generated by the online version of the Bregman Lagrangian…

Optimization and Control · Mathematics 2020-09-29 Chao Sun , Guoqiang Hu

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

Optimization and Control · Mathematics 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex…

Optimization and Control · Mathematics 2016-08-04 Xianlin Zeng , Peng Yi , Yiguang Hong , Lihua Xie

Random projection algorithm is an iterative gradient method with random projections. Such an algorithm is of interest for constrained optimization when the constraint set is not known in advance or the projection operation on the whole…

Optimization and Control · Mathematics 2013-05-02 Soomin Lee , Angelia Nedich

Regret has been widely adopted as the metric of choice for evaluating the performance of online optimization algorithms for distributed, multi-agent systems. However, data/model variations associated with agents can significantly impact…

Machine Learning · Computer Science 2022-09-22 Zhanhong Jiang , Aditya Balu , Xian Yeow Lee , Young M. Lee , Chinmay Hegde , Soumik Sarkar

We provide a distributed online algorithm for multi-agent submodular maximization under communication delays. We are motivated by the future distributed information-gathering tasks in unknown and dynamic environments, where utility…

Machine Learning · Computer Science 2026-03-31 Zirui Xu , Vasileios Tzoumas

This paper proposes an accelerated consensus-based distributed iterative algorithm for resource allocation and scheduling. The proposed gradient-tracking algorithm introduces an auxiliary variable to add momentum towards the optimal state.…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

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
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