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Decentralized optimization over directed graphs is essential for applications such as robotic swarms, sensor networks, and distributed learning. In many practical scenarios, the underlying network takes the form of a Time-Varying Broadcast…

Optimization and Control · Mathematics 2026-02-24 Liyuan Liang , Yilong Song , Kun Yuan

In this paper we consider online distributed learning problems. Online distributed learning refers to the process of training learning models on distributed data sources. In our setting a set of agents need to cooperatively train a learning…

Machine Learning · Computer Science 2024-05-07 Nicola Bastianello , Apostolos I. Rikos , Karl H. Johansson

Decentralized optimization is an emerging paradigm in distributed learning in which agents achieve network-wide solutions by peer-to-peer communication without the central server. Since communication tends to be slower than computation,…

Optimization and Control · Mathematics 2023-03-14 Zhuoqing Song , Weijian Li , Kexin Jin , Lei Shi , Ming Yan , Wotao Yin , Kun Yuan

We introduce a new and increasingly relevant setting for distributed optimization in machine learning, where the data defining the optimization are distributed (unevenly) over an extremely large number of \nodes, but the goal remains to…

Machine Learning · Computer Science 2015-11-12 Jakub Konečný , Brendan McMahan , Daniel Ramage

Distributed learning and adaptation have received significant interest and found wide-ranging applications in machine learning and signal processing. While various approaches, such as shared-memory optimization, multi-task learning, and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Pourya Behmandpoor , Marc Moonen , Panagiotis Patrinos

This technical note proposes the decentralized-partial-consensus optimization with inequality constraints, and a continuous-time algorithm based on multiple interconnected recurrent neural networks (RNNs) is derived to solve the obtained…

Optimization and Control · Mathematics 2021-03-23 Zicong Xia , Yang Liu , Jianlong Qiu , Qihua Ruan , Jinde Cao

We present a semi-decentralized federated learning algorithm wherein clients collaborate by relaying their neighbors' local updates to a central parameter server (PS). At every communication round to the PS, each client computes a local…

Machine Learning · Computer Science 2022-05-24 Michal Yemini , Rajarshi Saha , Emre Ozfatura , Deniz Gündüz , Andrea J. Goldsmith

Recent works have explored the use of momentum in local methods to enhance distributed SGD. This is particularly appealing in Federated Learning (FL), where momentum intuitively appears as a solution to mitigate the effects of statistical…

Machine Learning · Computer Science 2025-11-26 Riccardo Zaccone , Sai Praneeth Karimireddy , Carlo Masone

The present paper considers leveraging network topology information to improve the convergence rate of ADMM for decentralized optimization, where networked nodes work collaboratively to minimize the objective. Such problems can be solved…

Optimization and Control · Mathematics 2019-05-28 Meng Ma , Bingcong Li , Georgios B. Giannakis

We present a decentralized minimum-time trajectory optimization scheme based on learning model predictive control for multi-agent systems with nonlinear decoupled dynamics and coupled state constraints. By performing the same task…

Systems and Control · Electrical Eng. & Systems 2020-12-21 Edward L. Zhu , Yvonne R. Stürz , Ugo Rosolia , Francesco Borrelli

In this paper, we consider the policy evaluation problem in multi-agent reinforcement learning (MARL) and derive exact closed-form formulas for the finite-time mean-squared estimation errors of decentralized temporal difference (TD)…

Machine Learning · Computer Science 2022-04-22 Xingang Guo , Bin Hu

We describe a protocol for the average consensus problem on any fixed undirected graph whose convergence time scales linearly in the total number nodes $n$. The protocol is completely distributed, with the exception of requiring all nodes…

Optimization and Control · Mathematics 2017-08-07 Alex Olshevsky

Decentralized Actor-Critic (AC) algorithms have been widely utilized for multi-agent reinforcement learning (MARL) and have achieved remarkable success. Apart from its empirical success, the theoretical convergence property of decentralized…

Machine Learning · Computer Science 2023-01-31 Qijun Luo , Xiao Li

We develop a methodology to automatically compute worst-case performance bounds for a class of decentralized algorithms that optimize the average of local functions distributed across a network. We extend the recently proposed PEP approach…

Optimization and Control · Mathematics 2022-03-14 Sebastien Colla , Julien M. Hendrickx

The objective of meta-learning is to exploit the knowledge obtained from observed tasks to improve adaptation to unseen tasks. As such, meta-learners are able to generalize better when they are trained with a larger number of observed tasks…

Machine Learning · Computer Science 2022-10-11 Mert Kayaalp , Stefan Vlaski , Ali H. Sayed

This paper studies Dictionary Learning problems wherein the learning task is distributed over a multi-agent network, modeled as a time-varying directed graph. This formulation is relevant, for instance, in Big Data scenarios where massive…

Optimization and Control · Mathematics 2019-03-06 Amir Daneshmand , Ying Sun , Gesualdo Scutari , Francisco Facchinei , Brian M. Sadler

Federated learning enables training on a massive number of edge devices. To improve flexibility and scalability, we propose a new asynchronous federated optimization algorithm. We prove that the proposed approach has near-linear convergence…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-08 Cong Xie , Sanmi Koyejo , Indranil Gupta

In distributed machine learning, where agents collaboratively learn from diverse private data sets, there is a fundamental tension between consensus and optimality. In this paper, we build on recent algorithmic progresses in distributed…

Machine Learning · Statistics 2018-05-31 Zhanhong Jiang , Aditya Balu , Chinmay Hegde , Soumik Sarkar

Decentralized learning recently has received increasing attention in machine learning due to its advantages in implementation simplicity and system robustness, data privacy. Meanwhile, the adaptive gradient methods show superior…

Machine Learning · Computer Science 2024-08-20 Feihu Huang , Jianyu Zhao

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