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This paper considers distributed optimization problems, where each agent cooperatively minimizes the sum of local objective functions through the communication with its neighbors. The widely adopted distributed gradient method in solving…

Optimization and Control · Mathematics 2025-08-19 Yeming Xu , Ziyuan Guo , Kaihong Lu , Huanshui Zhang

We study strongly convex distributed optimization problems where a set of agents are interested in solving a separable optimization problem collaboratively. In this paper, we propose and study a two time-scale decentralized gradient descent…

Optimization and Control · Mathematics 2022-08-16 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

The Distributed Constraint Optimization Problem (DCOP) formulation is a powerful tool to model multi-agent coordination problems that are distributed by nature. The formulation is suitable for problems where variables are discrete and…

Multiagent Systems · Computer Science 2020-05-28 Khoi D. Hoang , William Yeoh , Makoto Yokoo , Zinovi Rabinovich

In this work, we propose a continuous-time distributed optimization algorithm with guaranteed zero coupling constraint violation and apply it to safe distributed control in the presence of multiple control barrier functions (CBF). The…

Optimization and Control · Mathematics 2025-02-05 Xiao Tan , Changxin Liu , Karl H. Johansson , Dimos V. Dimarogonas

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

Optimization and Control · Mathematics 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

Optimization and Control · Mathematics 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

This paper deals with the computation of a non-asymptotic lower bound by means of the nonanticipative rate-distortion function (NRDF) on the discrete-time zero-delay variable-rate lossy compression problem for discrete Markov sources with…

Information Theory · Computer Science 2024-11-19 Zixuan He , Charalambos D. Charalambous , Photios A. Stavrou

This paper studies distributed Time-Varying Resource Allocation (TVRA) where the local cost functions, global equality constraints, and Local Feasibility Constraints (LFCs) vary with time. Algorithms that mimic the structure of…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Yiqiao Xu , Tengyang Gong , Zhengtao Ding , Alessandra Parisio

In this paper, we consider an inverse space-dependent source problem for a time-fractional diffusion equation. To deal with the ill-posedness of the problem, we transform the problem into an optimal control problem with total variational…

Optimization and Control · Mathematics 2025-01-15 Bin Fan

In this paper, we focus on solving a distributed convex aggregative optimization problem in a network, where each agent has its own cost function which depends not only on its own decision variables but also on the aggregated function of…

Optimization and Control · Mathematics 2022-07-26 Tongyu Wang , Peng Yi

This paper presents a set of continuous-time distributed algorithms that solve unconstrained, separable, convex optimization problems over undirected networks with fixed topologies. The algorithms are developed using a Lyapunov function…

Systems and Control · Computer Science 2011-09-27 Jie Lu , Choon Yik Tang

We propose an adaptive method for online time-varying (TV) convex optimization, termed $\mathcal{L}_{1}$ adaptive optimization ($\mathcal{L}_{1}$-AO). TV optimizers utilize a prediction model to exploit the temporal structure of TV…

Optimization and Control · Mathematics 2025-03-04 Jinrae Kim , Naira Hovakimyan

In the large collection of existing distributed algorithms for convex multi-agent optimization, only a handful of them provide convergence rate guarantees on agent networks with time-varying topologies, which, however, restrict the problem…

Optimization and Control · Mathematics 2018-04-06 Xuyang Wu , Jie Lu

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

This paper proposes novel gradient-flow schemes that yield convergence to the optimal point of a convex optimization problem within a \textit{fixed} time from any given initial condition for unconstrained optimization, constrained…

Optimization and Control · Mathematics 2022-04-27 Kunal Garg , Dimitra Panagou

We study the policy evaluation problem in multi-agent reinforcement learning, modeled by a Markov decision process. In this problem, the agents operate in a common environment under a fixed control policy, working together to discover the…

Optimization and Control · Mathematics 2020-01-13 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Derivative-free optimization (DFO) has recently gained a lot of momentum in machine learning, spawning interest in the community to design faster methods for problems where gradients are not accessible. While some attention has been given…

Optimization and Control · Mathematics 2020-08-04 Yuwen Chen , Antonio Orvieto , Aurelien Lucchi

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

This paper studies a distributed continuous-time aggregative optimization problem, which is a fundamental problem in the price-based energy management. The objective of the distributed aggregative optimization is to minimize the sum of…

Optimization and Control · Mathematics 2023-09-26 Xin Cai , Feng Xiao , Bo Wei , Aiping Wang

The goal of dynamic time warping is to transform or warp time in order to approximately align two signals together. We pose the choice of warping function as an optimization problem with several terms in the objective. The first term…

Machine Learning · Computer Science 2019-06-03 Dave Deriso , Stephen Boyd