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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 study distributed stochastic gradient (D-SG) method and its accelerated variant (D-ASG) for solving decentralized strongly convex stochastic optimization problems where the objective function is distributed over several computational…

Optimization and Control · Mathematics 2021-10-05 Alireza Fallah , Mert Gurbuzbalaban , Asuman Ozdaglar , Umut Simsekli , Lingjiong Zhu

This paper proposes a novel class of distributed continuous-time coordination algorithms to solve network optimization problems whose cost function is a sum of local cost functions associated to the individual agents. We establish the…

Optimization and Control · Mathematics 2014-08-25 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

We consider solving a convex, possibly stochastic optimization problem over a randomly time-varying multi-agent network. Each agent has access to some local objective function, and it only has unbiased estimates of the gradients of the…

Optimization and Control · Mathematics 2016-11-29 Mingyi Hong , Tsung-Hui Chang

In this paper, the problem of distributed optimization is studied via a network of agents. Each agent only has access to a stochastic gradient of its own objective function in the previous time, and can communicate with its neighbors via a…

Optimization and Control · Mathematics 2024-01-29 Yuchen Yang , Kaihong Lu , Long Wang

In decentralized optimization over networks, each node in the network has a portion of the global objective function and the aim is to collectively optimize this function. Gradient tracking methods have emerged as a popular alternative for…

Optimization and Control · Mathematics 2023-12-13 Albert S. Berahas , Raghu Bollapragada , Shagun Gupta

In this paper, the distributed resource allocation problem on strongly connected and weight-balanced digraphs is investigated, where the decisions of each agent are restricted to satisfy the coupled network resource constraints and…

Optimization and Control · Mathematics 2022-03-10 Xiaohong Nian , Fan Li , Dongxin Liu

Distributed optimization often consists of two updating phases: local optimization and inter-node communication. Conventional approaches require working nodes to communicate with the server every one or few iterations to guarantee…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-17 Chi Zhang , Qianxiao Li

Distributed synchronous stochastic gradient descent (S-SGD) has been widely used in training large-scale deep neural networks (DNNs), but it typically requires very high communication bandwidth between computational workers (e.g., GPUs) to…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-18 Shaohuai Shi , Qiang Wang , Kaiyong Zhao , Zhenheng Tang , Yuxin Wang , Xiang Huang , Xiaowen Chu

Distributed optimization plays an important role in modern large-scale machine learning and data processing systems by optimizing the utilization of computational resources. One of the classical and popular approaches is Local Stochastic…

Optimization and Control · Mathematics 2024-12-19 Andrey Sadchikov , Savelii Chezhegov , Aleksandr Beznosikov , Alexander Gasnikov

Distributed optimization utilizes local computation and communication to realize a global aim of optimizing the sum of local objective functions. This article addresses a class of constrained distributed nonconvex optimization problems…

Optimization and Control · Mathematics 2024-05-07 Zhiyu He , Jianping He , Cailian Chen , Xinping Guan

Alternating Direction Method of Multipliers (ADMM) is a popular convex optimization algorithm, which can be employed for solving distributed consensus optimization problems. In this setting agents locally estimate the optimal solution of an…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Layla Majzoobi , Farshad Lahouti , Vahid Shah-Mansouri

In this work, we study the task of distributed optimization over a network of learners in which each learner possesses a convex cost function, a set of affine equality constraints, and a set of convex inequality constraints. We propose a…

Optimization and Control · Mathematics 2015-06-18 Zaid J. Towfic , Ali H. Sayed

In this paper, we propose a method of distributed stochastic gradient descent (SGD), with low communication load and computational complexity, and still fast convergence. To reduce the communication load, at each iteration of the algorithm,…

Machine Learning · Computer Science 2020-03-30 Naeimeh Omidvar , Mohammad Ali Maddah-Ali , Hamed Mahdavi

We study a distributed method called SAB-TV, which employs gradient tracking to collaboratively minimize the sum of smooth and strongly-convex local cost functions for networked agents communicating over a time-varying directed graph. Each…

Optimization and Control · Mathematics 2023-10-31 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedich

In this thesis, we propose new theoretical frameworks for the analysis of stochastic and distributed methods with error compensation and local updates. Using these frameworks, we develop more than 20 new optimization methods, including the…

Optimization and Control · Mathematics 2021-12-21 Eduard Gorbunov

We consider a multi-agent framework for distributed optimization where each agent has access to a local smooth strongly convex function, and the collective goal is to achieve consensus on the parameters that minimize the sum of the agents'…

Multiagent Systems · Computer Science 2020-04-23 Mahmoud Assran , Michael Rabbat

In this paper, we propose a novel solution for the distributed unconstrained optimization problem where the total cost is the summation of time-varying local cost functions of a group networked agents. The objective is to track the optimal…

Optimization and Control · Mathematics 2022-12-20 Amir-Salar Esteki , Solmaz S. Kia

Distributed optimization enables networked agents to cooperatively solve a global optimization problem even with each participating agent only having access to a local partial view of the objective function. Despite making significant…

Optimization and Control · Mathematics 2022-10-04 Yongqiang Wang , Tamer Başar
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