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In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

最优化与控制 · 数学 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Modern large-scale finite-sum optimization relies on two key aspects: distribution and stochastic updates. For smooth and strongly convex problems, existing decentralized algorithms are slower than modern accelerated variance-reduced…

最优化与控制 · 数学 2019-06-13 Hadrien Hendrikx , Francis Bach , Laurent Massoulie

Distributed optimization has found widespread applications in smart grids, optimal control, and machine learning. This paper studies distributed consensus optimization. We extend the Augmented Lagrangian-based Alternating Direction Inexact…

最优化与控制 · 数学 2026-05-21 Xu Du , Jingzhe Wang , Karl H. Johansson , Apostolos I. Rikos

When equipped with efficient optimization algorithms, the over-parameterized neural networks have demonstrated high level of performance even though the loss function is non-convex and non-smooth. While many works have been focusing on…

机器学习 · 计算机科学 2021-03-11 Zhiqi Bu , Shiyun Xu , Kan Chen

In this paper, a class of Decentralized Approximate Newton (DEAN) methods for addressing convex optimization on a networked system are developed, where nodes in the networked system seek for a consensus that minimizes the sum of their…

最优化与控制 · 数学 2020-12-01 Hejie Wei , Zhihai Qu , Xuyang Wu , Hao Wang , Jie Lu

We consider decentralized optimization problems in which a number of agents collaborate to minimize the average of their local functions by exchanging over an underlying communication graph. Specifically, we place ourselves in an…

最优化与控制 · 数学 2023-03-20 Yu-Guan Hsieh , Yassine Laguel , Franck Iutzeler , Jérôme Malick

Many modern large-scale machine learning problems benefit from decentralized and stochastic optimization. Recent works have shown that utilizing both decentralized computing and local stochastic gradient estimates can outperform…

最优化与控制 · 数学 2020-11-06 Haoran Sun , Songtao Lu , Mingyi Hong

This paper focuses on a multi-agent zeroth-order online optimization problem in a federated learning setting for target tracking. The agents only sense their current distances to their targets and aim to maintain a minimum safe distance…

机器学习 · 计算机科学 2023-06-12 Ege C. Kaya , M. Berk Sahin , Abolfazl Hashemi

We propose a new unified framework for describing and designing gradient-based convex optimization methods from a numerical analysis perspective. There the key is the new concept of weak discrete gradients (weak DGs), which is a…

最优化与控制 · 数学 2023-02-16 Kansei Ushiyama , Shun Sato , Takayasu Matsuo

Decentralized optimization enables a network of agents to cooperatively optimize an overall objective function without a central coordinator and is gaining increased attention in domains as diverse as control, sensor networks, data mining,…

最优化与控制 · 数学 2023-12-27 Yongqiang Wang , Angelia Nedic

Much recent interest has focused on the design of optimization algorithms from the discretization of an associated optimization flow, i.e., a system of differential equations (ODEs) whose trajectories solve an associated optimization…

最优化与控制 · 数学 2022-02-02 Pedro Cisneros-Velarde , Francesco Bullo

We develop a Distributed Event-Triggered Stochastic GRAdient Descent (DETSGRAD) algorithm for solving non-convex optimization problems typically encountered in distributed deep learning. We propose a novel communication triggering mechanism…

最优化与控制 · 数学 2019-09-12 Jemin George , Prudhvi Gurram

Unmanned aerial vehicles (UAVs) have been recently utilized in multi-access edge computing (MEC) as edge servers. It is desirable to design UAVs' trajectories and user to UAV assignments to ensure satisfactory service to the users and…

多智能体系统 · 计算机科学 2025-08-12 Hamidreza Asadian-Rad , Hossein Soleimani , Shahrokh Farahmand

We propose an innovative algorithm for non-convex composite federated learning that decouples the proximal operator evaluation and the communication between server and clients. Moreover, each client uses local updates to communicate less…

机器学习 · 计算机科学 2025-02-07 Jiaojiao Zhang , Jiang Hu , Mikael Johansson

To address the communication burden and privacy concerns associated with the centralized server in Federated Learning (FL), Decentralized Federated Learning (DFL) has emerged, which discards the server with a peer-to-peer (P2P)…

机器学习 · 计算机科学 2023-10-10 Qinglun Li , Miao Zhang , Nan Yin , Quanjun Yin , Li Shen

We propose an implicit neural formulation of optimal transport that eliminates adversarial min--max optimization and multi-network architectures commonly used in existing approaches. Our key idea is to parameterize a single potential in the…

最优化与控制 · 数学 2026-05-12 Yesom Park , Eric Gelphman , Stanley Osher , Samy Wu Fung

Distributed aggregative optimization is a recently emerged framework in which the agents of a network want to minimize the sum of local objective functions, each one depending on the agent decision variable (e.g., the local position of a…

最优化与控制 · 数学 2024-04-08 Guido Carnevale , Nicola Mimmo , Giuseppe Notarstefano

This paper studies the decentralized online convex optimization problem for heterogeneous linear multi-agent systems. Agents have access to their time-varying local cost functions related to their own outputs, and there are also…

最优化与控制 · 数学 2022-07-05 Yang Yu , Xiuxian Li , Li Li , Lihua Xie

We consider a generic decentralized constrained optimization problem over static, directed communication networks, where each agent has exclusive access to only one convex, differentiable, local objective term and one convex constraint set.…

最优化与控制 · 数学 2023-11-09 Firooz Shahriari-Mehr , Ashkan Panahi

In this paper, we investigate a distributed aggregative optimization problem in a network, where each agent has its own local cost function which depends not only on the local state variable but also on an aggregated function of state…

最优化与控制 · 数学 2023-04-18 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu