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The distributed convex optimization problem over the multi-agent system is considered in this paper, and it is assumed that each agent possesses its own cost function and communicates with its neighbours over a sequence of time-varying…

Optimization and Control · Mathematics 2022-02-03 Cong Wang , Shengyuan Xu , Deming Yuan , Baoyong Zhang , Zhengqiang Zhang

In this paper, we propose a distributed algorithm for stochastic smooth, non-convex optimization. We assume a worker-server architecture where $N$ nodes, each having $n$ (potentially infinite) number of samples, collaborate with the help of…

Optimization and Control · Mathematics 2020-11-09 Pranay Sharma , Swatantra Kafle , Prashant Khanduri , Saikiran Bulusu , Ketan Rajawat , Pramod K. Varshney

We consider the problem of decentralized optimization where a collection of agents, each having access to a local cost function, communicate over a time-varying directed network and aim to minimize the sum of those functions. In practice,…

Systems and Control · Electrical Eng. & Systems 2021-09-01 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

We consider a class of popular distributed non-convex optimization problems, in which agents connected by a network $\mathcal{G}$ collectively optimize a sum of smooth (possibly non-convex) local objective functions. We address the…

Optimization and Control · Mathematics 2020-01-08 Haoran Sun , Mingyi Hong

We consider a decentralized optimization problem for networks affected by communication delays. Examples of such networks include collaborative machine learning, sensor networks, and multi-agent systems. To mimic communication delays, we…

Machine Learning · Computer Science 2024-10-03 Tomas Ortega , Hamid Jafarkhani

In this paper, we study distributed algorithms for large-scale AUC maximization with a deep neural network as a predictive model. Although distributed learning techniques have been investigated extensively in deep learning, they are not…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-12 Zhishuai Guo , Mingrui Liu , Zhuoning Yuan , Li Shen , Wei Liu , Tianbao Yang

Decentralized optimization is effective to save communication in large-scale machine learning. Although numerous algorithms have been proposed with theoretical guarantees and empirical successes, the performance limits in decentralized…

Machine Learning · Computer Science 2022-10-17 Kun Yuan , Xinmeng Huang , Yiming Chen , Xiaohan Zhang , Yingya Zhang , Pan Pan

This paper considers the minimization of a sum of smooth and strongly convex functions dispatched over the nodes of a communication network. Previous works on the subject either focus on synchronous algorithms, which can be heavily slowed…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-09 Mathieu Even , Hadrien Hendrikx , Laurent Massoulié

In this paper, we design two compressed decentralized algorithms for solving nonconvex stochastic optimization under two different scenarios. Both algorithms adopt a momentum technique to achieve fast convergence and a message-compression…

Machine Learning · Computer Science 2025-08-08 Wei Liu , Anweshit Panda , Ujwal Pandey , Christopher Brissette , Yikang Shen , George M. Slota , Naigang Wang , Jie Chen , Yangyang Xu

Decentralized optimization with time-varying networks is an emerging paradigm in machine learning. It saves remarkable communication overhead in large-scale deep training and is more robust in wireless scenarios especially when nodes are…

Machine Learning · Computer Science 2022-11-02 Xinmeng Huang , Kun Yuan

We study decentralized asynchronous multiagent optimization over networks, modeled as static (possibly directed) graphs. The optimization problem consists of minimizing a (possibly nonconvex) smooth function--the sum of the agents' local…

Optimization and Control · Mathematics 2020-02-03 Ye Tian , Ying Sun , Gesualdo Scutari

This paper proposes a distributed optimization algorithm with a convergence time that can be assigned in advance according to task requirements. To this end, a sliding manifold is introduced to achieve the sum of local gradients approaching…

Optimization and Control · Mathematics 2024-12-31 Renyongkang Zhang , Ge Guo , Zeng-di Zhou

We consider distributed optimization in random networks where N nodes cooperatively minimize the sum \sum_{i=1}^N f_i(x) of their individual convex costs. Existing literature proposes distributed gradient-like methods that are…

Information Theory · Computer Science 2023-07-19 Dusan Jakovetic , Joao Xavier , Jose M. F. Moura

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

In this two-part paper, we propose a general algorithmic framework for the minimization of a nonconvex smooth function subject to nonconvex smooth constraints. The algorithm solves a sequence of (separable) strongly convex problems and…

Multiagent Systems · Computer Science 2016-01-18 Gesualdo Scutari , Francisco Facchinei , Lorenzo Lampariello , Peiran Song

In many applications, nodes in a network desire not only a consensus, but an optimal one. To date, a family of subgradient algorithms have been proposed to solve this problem under general convexity assumptions. This paper shows that, for…

Optimization and Control · Mathematics 2011-02-11 Jie Lu , Choon Yik Tang , Paul R. Regier , Travis D. Bow

We study decentralized optimization where multiple agents minimize the average of their (strongly) convex, smooth losses over a communication graph. Convergence of the existing decentralized methods generally hinges on an apriori, proper…

Optimization and Control · Mathematics 2025-08-01 Ilya Kuruzov , Xiaokai Chen , Gesualdo Scutari , Alexander Gasnikov

We consider the problem of decentralized optimization over time-varying directed networks. The network nodes can access only their local objectives, and aim to collaboratively minimize a global function by exchanging messages with their…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

This paper develops a fast distributed algorithm, termed \emph{DEXTRA}, to solve the optimization problem when~$n$ agents reach agreement and collaboratively minimize the sum of their local objective functions over the network, where the…

Optimization and Control · Mathematics 2016-05-31 Chenguang Xi , Usman A. Khan

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson
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