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Existing asynchronous distributed optimization algorithms often use diminishing step-sizes that cause slow practical convergence, or fixed step-sizes that depend on an assumed upper bound of delays. Not only is such a delay bound hard to…

最优化与控制 · 数学 2023-08-24 Xuyang Wu , Changxin Liu , Sindri Magnusson , Mikael Johansson

This work investigates fault-resilient federated learning when the data samples are non-uniformly distributed across workers, and the number of faulty workers is unknown to the central server. In the presence of adversarially faulty workers…

In this paper, the alternating direction method of multipliers (ADMM) is investigated for distributed optimization problems in a networked multi-agent system. In particular, a new adaptive-gain ADMM algorithm is derived in a closed form and…

系统与控制 · 电气工程与系统科学 2020-02-26 Towfiq Rahman , Zhihua Qu , Toru Namerikawa

Consider $n$ agents connected over a network collaborating to minimize the average of their local cost functions combined with a common nonsmooth function. This paper introduces a unified algorithmic framework for solving such a problem…

最优化与控制 · 数学 2026-05-05 Kun Huang , Shi Pu , Angelia Nedić

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…

分布式、并行与集群计算 · 计算机科学 2017-03-28 Jinshan Zeng , Tao He , Mingwen Wang

Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

机器学习 · 计算机科学 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

Adaptive control strategies have progressively advanced to accommodate increasingly uncertain, delayed, and interconnected systems. This paper addresses the model reference adaptive control (MRAC) of networked, heterogeneous, and unknown…

系统与控制 · 电气工程与系统科学 2025-06-25 Moh Kamalul Wafi , Katherin Indriawati , Bambang L. Widjiantoro

Adaptive gradient methods have attracted much attention of machine learning communities due to the high efficiency. However their acceleration effect in practice, especially in neural network training, is hard to analyze, theoretically. The…

最优化与控制 · 数学 2020-06-15 Xunpeng Huang , Hao Zhou , Runxin Xu , Zhe Wang , Lei Li

Asynchronous algorithms have attracted much attention recently due to the crucial demands on solving large-scale optimization problems. However, the accelerated versions of asynchronous algorithms are rarely studied. In this paper, we…

最优化与控制 · 数学 2018-02-28 Cong Fang , Yameng Huang , Zhouchen Lin

Adaptive control is a classical control method for complex cyber-physical systems, including transportation networks. In this work, we analyze the convergence properties of such methods on exemplar graphs, both theoretically and…

最优化与控制 · 数学 2019-06-12 Jean Carpentier , Sebastien Blandin

We propose ADOM - an accelerated method for smooth and strongly convex decentralized optimization over time-varying networks. ADOM uses a dual oracle, i.e., we assume access to the gradient of the Fenchel conjugate of the individual loss…

最优化与控制 · 数学 2021-02-19 Dmitry Kovalev , Egor Shulgin , Peter Richtárik , Alexander Rogozin , Alexander Gasnikov

Continuous-time primal-dual gradient dynamics (PDGD) is an ubiquitous approach for dynamically solving constrained distributed optimization problems. Yet, the distributed nature of the dynamics makes it prone to communication uncertainties,…

系统与控制 · 电气工程与系统科学 2026-03-20 Gökçen Devlet Şen , Juan E. Machado , Gülay Öke Günel , Johannes Schiffer

Synchronous federated learning scales poorly due to the straggler effect. Asynchronous algorithms increase the update throughput by processing updates upon arrival, but they introduce two fundamental challenges: gradient staleness, which…

机器学习 · 计算机科学 2026-03-30 Abdelkrim Alahyane , Céline Comte , Matthieu Jonckheere

Adaptive guaranteed-performance consensus control problems for multi-agent systems are investigated, where the adjustable convergence speed is discussed. This paper firstly proposes a novel adaptive guaranteed-performance consensus…

系统与控制 · 计算机科学 2019-06-12 Hai-Ying Ma , Xiao Jia , Ning Cai , Jian-Xiang Xi

In decentralized learning, a network of nodes cooperate to minimize an overall objective function that is usually the finite-sum of their local objectives, and incorporates a non-smooth regularization term for the better generalization…

机器学习 · 计算机科学 2022-01-25 Xuanjie Li , Yuedong Xu , Jessie Hui Wang , Xin Wang , John C. S. Lui

We study the problem of resilient consensus of sampled-data multi-agent networks with double-integrator dynamics. The term resilient points to algorithms considering the presence of attacks by faulty/malicious agents in the network. Each…

系统与控制 · 计算机科学 2017-01-17 Seyed Mehran Dibaji , Hideaki Ishii

In this paper, we introduce an accelerated distributed stochastic gradient method with momentum for solving the distributed optimization problem, where a group of $n$ agents collaboratively minimize the average of the local objective…

最优化与控制 · 数学 2025-03-27 Kun Huang , Shi Pu , Angelia Nedić

The present work introduces the hybrid consensus alternating direction method of multipliers (H-CADMM), a novel framework for optimization over networks which unifies existing distributed optimization approaches, including the centralized…

最优化与控制 · 数学 2018-05-10 Meng Ma , Athanasios N. Nikolakopoulos , Georgios B. Giannakis

We propose a distributed accelerated primal-dual method with backtracking (D-APDB) for cooperative multi-agent constrained consensus optimization problems over an undirected network of agents, where only those agents connected by an edge…

最优化与控制 · 数学 2026-03-06 Qiushui Xu , Necdet Serhat Aybat , Mert Gürbüzbalaban

Decentralized distributed optimization over time-varying graphs (networks) is nowadays a very popular branch of research in optimization theory and consensus theory. One of the motivations to consider such networks is an application to…

最优化与控制 · 数学 2020-06-24 Alexander Rogozin , Alexander Gasnikov