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In this paper, we consider the unconstrained distributed optimization problem, in which the exchange of information in the network is captured by a directed graph topology, thus, nodes can only communicate with their neighbors.…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

This paper focuses on decentralized composite optimization over networks without a central coordinator. We propose a novel decentralized symmetric ADMM algorithm that incorporates multiple communication rounds within each iteration, derived…

Optimization and Control · Mathematics 2026-03-06 Jinrui Huang , Xueqin Wang , Dong Liu , Jingguo Lan , Runxiong Wu

In the decentralized distributed learning, achieving fast convergence and low communication cost is essential for scalability and high efficiency. Adaptive gradient methods, such as Adam, have demonstrated strong practical performance in…

Machine Learning · Computer Science 2026-04-14 Wei Liu , Anweshit Panda , Ujwal Pandey , Haven Cook , George M. Slota , Naigang Wang , Jie Chen , Yangyang Xu

Emerging applications in multi-agent environments such as internet-of-things, networked sensing, autonomous systems and federated learning, call for decentralized algorithms for finite-sum optimizations that are resource-efficient in terms…

Machine Learning · Statistics 2021-12-03 Boyue Li , Zhize Li , Yuejie Chi

Federated Learning (FL) enables decentralized model training across multiple clients while optionally preserving data privacy. However, communication efficiency remains a critical bottleneck, particularly for large-scale models. In this…

Machine Learning · Computer Science 2025-11-11 Arnaud Descours , Léonard Deroose , Jan Ramon

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

We propose an asynchronous, decentralized algorithm for consensus optimization. The algorithm runs over a network in which the agents communicate with their neighbors and perform local computation. In the proposed algorithm, each agent can…

Optimization and Control · Mathematics 2017-03-06 Tianyu Wu , Kun Yuan , Qing Ling , Wotao Yin , Ali H. Sayed

We introduce a memory- and compute-efficient method for low-communication distributed training. Existing methods reduce communication by performing multiple local updates between infrequent global synchronizations. We demonstrate that their…

Machine Learning · Computer Science 2025-09-29 Anastasiia Filippova , Angelos Katharopoulos , David Grangier , Ronan Collobert

Federated learning (FL) ameliorates privacy concerns in settings where a central server coordinates learning from data distributed across many clients. The clients train locally and communicate the models they learn to the server;…

Machine Learning · Computer Science 2020-10-16 Monica Ribero , Haris Vikalo

We provide the first convergence analysis of local gradient descent for minimizing the average of smooth and convex but otherwise arbitrary functions. Problems of this form and local gradient descent as a solution method are of importance…

Machine Learning · Computer Science 2020-03-19 Ahmed Khaled , Konstantin Mishchenko , Peter Richtárik

This paper proposes two distributed random reshuffling methods, namely Gradient Tracking with Random Reshuffling (GT-RR) and Exact Diffusion with Random Reshuffling (ED-RR), to solve the distributed optimization problem over a connected…

Optimization and Control · Mathematics 2025-03-18 Kun Huang , Linli Zhou , Shi Pu

This paper proposes a novel CTA (Combine-Then-Adapt)-based decentralized algorithm for solving convex composite optimization problems over undirected and connected networks. The local loss function in these problems contains both smooth and…

Optimization and Control · Mathematics 2023-03-07 Luyao Guo , Xinli Shi , Jinde Cao , Zihao Wang

We study the problem of networked online convex optimization, where each agent individually decides on an action at every time step and agents cooperatively seek to minimize the total global cost over a finite horizon. The global cost is…

Optimization and Control · Mathematics 2022-07-14 Yiheng Lin , Judy Gan , Guannan Qu , Yash Kanoria , Adam Wierman

The paper considers distributed stochastic optimization over randomly switching networks, where agents collaboratively minimize the average of all agents' local expectation-valued convex cost functions. Due to the stochasticity in gradient…

Optimization and Control · Mathematics 2022-04-07 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

This thesis contributes to the theoretical understanding of local update algorithms, especially Local SGD, in distributed and federated optimization under realistic models of data heterogeneity. A central focus is on the bounded…

Machine Learning · Computer Science 2025-07-02 Kumar Kshitij Patel

Decentralized optimization is widely used in large scale and privacy preserving machine learning and various distributed control and sensing systems. It is assumed that every agent in the network possesses a local objective function, and…

Optimization and Control · Mathematics 2023-01-31 Savelii Chezhegov , Anton Novitskii , Alexander Rogozin , Sergei Parsegov , Pavel Dvurechensky , Alexander Gasnikov

To mitigate the privacy leakages and communication burdens of Federated Learning (FL), decentralized FL (DFL) discards the central server and each client only communicates with its neighbors in a decentralized communication network.…

Machine Learning · Computer Science 2023-06-12 Yifan Shi , Li Shen , Kang Wei , Yan Sun , Bo Yuan , Xueqian Wang , Dacheng Tao

In this paper, we study the communication and (sub)gradient computation costs in distributed optimization and give a sharp complexity analysis for the proposed distributed accelerated gradient methods. We present two algorithms based on the…

Optimization and Control · Mathematics 2020-08-19 Huan Li , Cong Fang , Wotao Yin , Zhouchen Lin

We consider decentralized optimization problems where one aims to minimize a sum of convex smooth objective functions distributed between nodes in the network. The links in the network can change from time to time. For the setting when the…

Optimization and Control · Mathematics 2023-01-30 Dmitriy Metelev , Alexander Rogozin , Dmitry Kovalev , Alexander Gasnikov

Analyzing data owned by several parties while achieving a good trade-off between utility and privacy is a key challenge in federated learning and analytics. In this work, we introduce a novel relaxation of local differential privacy (LDP)…

Machine Learning · Computer Science 2022-03-08 Edwige Cyffers , Aurélien Bellet
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