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We consider a network of devices, such as generators, fixed loads, deferrable loads, and storage devices, each with its own dynamic constraints and objective, connected by lossy capacitated lines. The problem is to minimize the total…

Optimization and Control · Mathematics 2012-04-06 Matt Kraning , Eric Chu , Javad Lavaei , Stephen Boyd

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

Privacy protection and nonconvexity are two challenging problems in decentralized optimization and learning involving sensitive data. Despite some recent advances addressing each of the two problems separately, no results have been reported…

Optimization and Control · Mathematics 2022-12-16 Yongqiang Wang , Tamer Basar

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where their information exchange is restricted between the…

Optimization and Control · Mathematics 2015-06-16 Wei Shi , Qing Ling , Kun Yuan , Gang Wu , Wotao Yin

We propose an efficient protocol for decentralized training of deep neural networks from distributed data sources. The proposed protocol allows to handle different phases of model training equally well and to quickly adapt to concept…

Machine Learning · Computer Science 2018-11-14 Michael Kamp , Linara Adilova , Joachim Sicking , Fabian Hüger , Peter Schlicht , Tim Wirtz , Stefan Wrobel

We design a low complexity decentralized learning algorithm to train a recently proposed large neural network in distributed processing nodes (workers). We assume the communication network between the workers is synchronized and can be…

Machine Learning · Computer Science 2020-09-30 Xinyue Liang , Alireza M. Javid , Mikael Skoglund , Saikat Chatterjee

In this paper, we consider a distributed stochastic non-convex optimization problem, which is about minimizing a sum of $n$ local cost functions over a network with only zeroth-order information. A novel single-loop Decentralized…

Optimization and Control · Mathematics 2023-10-31 Hongxu Chen , Jinchi Chen , Ke Wei

Decentralized optimization algorithms have received much attention due to the recent advances in network information processing. However, conventional decentralized algorithms based on projected gradient descent are incapable of handling…

Optimization and Control · Mathematics 2018-08-29 Hoi-To Wai , Jean Lafond , Anna Scaglione , Eric Moulines

We focus on a class of non-smooth optimization problems over the Stiefel manifold in the decentralized setting, where a connected network of $n$ agents cooperatively minimize a finite-sum objective function with each component being weakly…

Optimization and Control · Mathematics 2023-04-03 Jinxin Wang , Jiang Hu , Shixiang Chen , Zengde Deng , Anthony Man-Cho So

We address a decentralized convex optimization problem, where every agent has its unique local objective function and constraint set. Agents compute at different speeds, and their communication may be delayed and directed. For this setup,…

Optimization and Control · Mathematics 2024-01-09 Firooz Shahriari-Mehr , Ashkan Panahi

This paper studies the stochastic nonconvex-strongly-concave minimax optimization over a multi-agent network. We propose an efficient algorithm, called Decentralized Recursive gradient descEnt Ascent Method (DREAM), which achieves the…

Machine Learning · Computer Science 2024-05-15 Lesi Chen , Haishan Ye , Luo Luo

Decentralized optimization enables multiple devices to learn a global machine learning model while each individual device only has access to its local dataset. By avoiding the need for training data to leave individual users' devices, it…

Machine Learning · Computer Science 2026-04-22 Ziqin Chen , Zuang Wang , Yongqiang Wang

We consider the task of minimizing the sum of smooth and strongly convex functions stored in a decentralized manner across the nodes of a communication network whose links are allowed to change in time. We solve two fundamental problems for…

Optimization and Control · Mathematics 2021-06-09 Dmitry Kovalev , Elnur Gasanov , Peter Richtárik , Alexander Gasnikov

Distributed optimization is widely used in large-scale and privacy-preserving machine learning, where each agent stores a local objective and communicates only with its neighbors in a connected network. We study decentralized second-order…

Multi-level optimization has gained increasing attention in recent years, as it provides a powerful framework for solving complex optimization problems that arise in many fields, such as meta-learning, multi-player games, reinforcement…

Machine Learning · Computer Science 2023-10-11 Shuoguang Yang , Xuezhou Zhang , Mengdi Wang

In this paper, we consider networks with topologies described by some connected undirected graph ${\mathcal{G}}=(V, E)$ and with some agents (fusion centers) equipped with processing power and local peer-to-peer communication, and…

Optimization and Control · Mathematics 2021-12-07 Nazar Emirov , Guohui Song , Qiyu Sun

This paper proposes a fast decentralized algorithm for solving a consensus optimization problem defined in a directed networked multi-agent system, where the local objective functions have the smooth+nonsmooth composite form, and are…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-28 Jinshan Zeng , Tao He , Mingwen Wang

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

Many realistic decision-making problems in networked scenarios, such as formation control and collaborative task offloading, often involve complicatedly entangled local decisions, which, however, have not been sufficiently investigated yet.…

Optimization and Control · Mathematics 2025-11-20 Dandan Wang , Xuyang Wu , Zichong Ou , Jie Lu

Modern power systems are now in continuous process of massive changes. Increased penetration of distributed generation, usage of energy storage and controllable demand require introduction of a new control paradigm that does not rely on…

Optimization and Control · Mathematics 2022-04-01 Demyan Yarmoshik , Alexander Rogozin , Oleg. O. Khamisov , Pavel Dvurechensky , Alexander Gasnikov