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In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

计算工程、金融与科学 · 计算机科学 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

Decentralized learning enables edge users to collaboratively train models by exchanging information via device-to-device communication, yet prior works have been limited to wireless networks with fixed topologies and reliable workers. In…

信息论 · 计算机科学 2022-02-03 Eunjeong Jeong , Matteo Zecchin , Marios Kountouris

This chapter deals with decentralized learning algorithms for in-network processing of graph-valued data. A generic learning problem is formulated and recast into a separable form, which is iteratively minimized using the…

最优化与控制 · 数学 2015-04-01 Georgios B. Giannakis , Qing Ling , Gonzalo Mateos , Ioannis D. Schizas , Hao Zhu

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

Alternating Direction Method of Multipliers (ADMM) is a popular algorithm for distributed learning, where a network of nodes collaboratively solve a regularized empirical risk minimization by iterative local computation associated with…

机器学习 · 计算机科学 2020-05-19 Zonghao Huang , Yanmin Gong

This paper examines online distributed Alternating Direction Method of Multipliers (ADMM). The goal is to distributively optimize a global objective function over a network of decision makers under linear constraints. The global objective…

最优化与控制 · 数学 2015-10-05 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

In this research, we propose a deep learning based approach for speeding up the topology optimization methods. The problem we seek to solve is the layout problem. The main novelty of this work is to state the problem as an image…

机器学习 · 计算机科学 2017-09-28 Ivan Sosnovik , Ivan Oseledets

Decentralized stochastic optimization methods have gained a lot of attention recently, mainly because of their cheap per iteration cost, data locality, and their communication-efficiency. In this paper we introduce a unified convergence…

机器学习 · 计算机科学 2021-03-03 Anastasia Koloskova , Nicolas Loizou , Sadra Boreiri , Martin Jaggi , Sebastian U. Stich

Decentralized optimization methods enable on-device training of machine learning models without a central coordinator. In many scenarios communication between devices is energy demanding and time consuming and forms the bottleneck of the…

最优化与控制 · 数学 2020-11-04 Dmitry Kovalev , Anastasia Koloskova , Martin Jaggi , Peter Richtarik , Sebastian U. Stich

This paper considers the decentralized convex optimization problem, which has a wide range of applications in large-scale machine learning, sensor networks, and control theory. We propose novel algorithms that achieve optimal computation…

机器学习 · 计算机科学 2023-10-11 Haishan Ye , Luo Luo , Ziang Zhou , Tong Zhang

Artificial Neural Networks (ANNs) require significant amounts of data and computational resources to achieve high effectiveness in performing the tasks for which they are trained. To reduce resource demands, various techniques, such as…

神经与进化计算 · 计算机科学 2024-12-04 A. Stolarek , W. Jaworek

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

This work proposes a novel adaptive linearized alternating direction multiplier method (LADMM) to convex optimization, which improves the convergence rate of the LADMM-based algorithm by adjusting step-size iteratively.The innovation of…

最优化与控制 · 数学 2024-07-04 Boran Wang

Decentralized non-convex optimization is important in many problems of practical relevance. Existing decentralized methods, however, typically either lack convergence guarantees for general non-convex problems, or they suffer from a high…

最优化与控制 · 数学 2025-10-20 Gösta Stomberg , Alexander Engelmann , Timm Faulwasser

Federated learning, where algorithms are trained across multiple decentralized devices without sharing local data, is increasingly popular in distributed machine learning practice. Typically, a graph structure $G$ exists behind local…

机器学习 · 统计学 2022-09-20 Huiyuan Wang , Xuyang Zhao , Wei Lin

This dissertation explores block decomposable methods for large-scale optimization problems. It focuses on alternating direction method of multipliers (ADMM) schemes and block coordinate descent (BCD) methods. Specifically, it introduces a…

最优化与控制 · 数学 2026-01-15 Leandro Farias Maia

This paper addresses the problem of nonconvex nonsmooth decentralised optimisation in multi-agent networks with undirected connected communication graphs. Our contribution lies in introducing an algorithmic framework designed for the…

最优化与控制 · 数学 2023-12-08 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Decentralized SGD can run with low communication costs, but its sparse communication characteristics deteriorate the convergence rate, especially when the number of nodes is large. In decentralized learning settings, communication is…

机器学习 · 计算机科学 2025-03-03 Yuki Takezawa , Sebastian U. Stich

Federated learning (FL) has emerged as a promising paradigm within edge computing (EC) systems, enabling numerous edge devices to collaboratively train artificial intelligence (AI) models while maintaining data privacy. To overcome the…

机器学习 · 计算机科学 2025-08-13 Yuze Liu , Tiehua Zhang , Zhishu Shen , Libing Wu , Shiping Chen , Jiong Jin

This paper studies edge caching in fog computing networks, where a capacity-aware edge caching framework is proposed by considering both the limited fog cache capacity and the connectivity capacity of base stations (BSs). By allowing…

网络与互联网体系结构 · 计算机科学 2020-02-07 Qiang Li , Yuanmei Zhang , Yingyu Li , Yong Xiao , Xiaohu Ge