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Decentralized minimax optimization has been actively studied in the past few years due to its application in a wide range of machine learning models. However, the current theoretical understanding of its convergence rate is far from…

Machine Learning · Computer Science 2023-04-25 Yihan Zhang , Wenhao Jiang , Feng Zheng , Chiu C. Tan , Xinghua Shi , Hongchang Gao

We study the policy evaluation problem in multi-agent reinforcement learning (MARL) over directed communication networks, where agents cooperate with each other to explore an unknown environment and accomplish a specific task. We propose a…

Optimization and Control · Mathematics 2026-05-07 Haocheng Yang , Shengchao Zhao , Yongchao Liu

Current deep learning (DL) systems rely on a centralized computing paradigm which limits the amount of available training data, increases system latency, and adds privacy and security constraints. On-device learning, enabled by…

Machine Learning · Computer Science 2021-02-15 Sai Aparna Aketi , Amandeep Singh , Jan Rabaey

In recent years, as data and problem sizes have increased, distributed learning has become an essential tool for training high-performance models. However, the communication bottleneck, especially for high-dimensional data, is a challenge.…

Optimization and Control · Mathematics 2025-04-28 Dmitry Bylinkin , Aleksandr Beznosikov

Despite their high computation and communication costs, Newton-type methods remain an appealing option for distributed training due to their robustness against ill-conditioned convex problems. In this work, we study ommunication compression…

Machine Learning · Computer Science 2022-06-09 Rustem Islamov , Xun Qian , Slavomír Hanzely , Mher Safaryan , Peter Richtárik

We present a hybrid systems framework for multi-agent optimization in which agents execute computations in continuous time and communicate in discrete time. The optimization algorithm is a hybrid version of parallelized coordinate descent.…

Optimization and Control · Mathematics 2021-10-04 Katherine Hendrickson , Dawn Hustig-Schultz , Matthew Hale , Ricardo G. Sanfelice

Federated learning is a distributed machine learning framework which enables different parties to collaboratively train a model while protecting data privacy and security. Due to model complexity, network unreliability and connection…

Machine Learning · Computer Science 2020-04-08 Anbu Huang , Yuanyuan Chen , Yang Liu , Tianjian Chen , Qiang Yang

We propose and study a new class of gradient communication mechanisms for communication-efficient training -- three point compressors (3PC) -- as well as efficient distributed nonconvex optimization algorithms that can take advantage of…

Machine Learning · Computer Science 2022-02-03 Peter Richtárik , Igor Sokolov , Ilyas Fatkhullin , Elnur Gasanov , Zhize Li , Eduard Gorbunov

In this paper, we address the average consensus problem of multi-agent systems for possibly unbalanced and delay-prone networks with directional information flow. We propose a linear distributed algorithm (referred to as RPPAC) that handles…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Evagoras Makridis , Themistoklis Charalambous

Due to the rapid growth of smart agents such as weakly connected computational nodes and sensors, developing decentralized algorithms that can perform computations on local agents becomes a major research direction. This paper considers the…

Machine Learning · Computer Science 2021-02-09 Haishan Ye , Tong Zhang

In this paper, we study the decentralized optimization problem of minimizing a finite sum of continuously differentiable and possibly nonconvex functions over a fixed-connected undirected network. We propose a unified decentralized…

Optimization and Control · Mathematics 2026-04-14 Hao Wu , Liping Wang

In this paper, we showcase the interplay between discrete and continuous optimization in network-structured settings. We propose the first fully decentralized optimization method for a wide class of non-convex objective functions that…

Optimization and Control · Mathematics 2018-02-13 Aryan Mokhtari , Hamed Hassani , Amin Karbasi

In high-density environments where numerous autonomous agents move simultaneously in a distributed manner, streamlining global flows to mitigate local congestion is crucial to maintain overall navigation efficiency. This paper introduces a…

Multiagent Systems · Computer Science 2025-08-21 Takuro Kato , Keisuke Okumura , Yoko Sasaki , Naoya Yokomachi

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

The randomized coordinate descent (RCD) method is a classical algorithm with simple, lightweight iterations that is widely used for various optimization problems, including the solution of positive semidefinite linear systems. As a linear…

Numerical Analysis · Mathematics 2026-02-13 Jackie Lok , Elizaveta Rebrova

In distributed optimization and machine learning, multiple nodes coordinate to solve large problems. To do this, the nodes need to compress important algorithm information to bits so that it can be communicated over a digital channel. The…

Optimization and Control · Mathematics 2020-12-02 Sindri Magnússon , Hossein Shokri-Ghadikolaei , Na Li

Gradient descent with momentum has been widely applied in various signal processing and machine learning tasks, demonstrating a notable empirical advantage over standard gradient descent. However, momentum-based distributed Riemannian…

Optimization and Control · Mathematics 2026-02-17 Jun Chen , Tianyi Zhu , Haishan Ye , Lina Liu , Guang Dai , Yong Liu , Yunliang Jiang , Ivor W. Tsang

In distributed optimization, a large number of machines alternate between local computations and communication with a coordinating server. Communication, which can be slow and costly, is the main bottleneck in this setting. To reduce this…

Machine Learning · Computer Science 2026-04-03 Laurent Condat , Ivan Agarský , Peter Richtárik

We consider the decentralized optimization problem, where a network of $n$ agents aims to collaboratively minimize the average of their individual smooth and convex objective functions through peer-to-peer communication in a directed graph.…

Optimization and Control · Mathematics 2023-12-07 Zhuoqing Song , Lei Shi , Shi Pu , Ming Yan

We propose a new decentralized average consensus algorithm with compressed communication that scales linearly with the network size n. We prove that the proposed method converges to the average of the initial values held locally by the…

Optimization and Control · Mathematics 2021-09-16 Mohammad Taha Toghani , César A. Uribe
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