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Motivated by distributed statistical learning over uncertain communication networks, we study distributed stochastic optimization by networked nodes to cooperatively minimize a sum of convex cost functions. The network is modeled by a…

系统与控制 · 电气工程与系统科学 2025-01-03 Yan Chen , Alexander L. Fradkov , Keli Fu , Xiaozheng Fu , Tao Li

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

Recent advances in the theoretical understanding of SGD led to a formula for the optimal batch size minimizing the number of effective data passes, i.e., the number of iterations times the batch size. However, this formula is of no…

机器学习 · 计算机科学 2021-11-22 Motasem Alfarra , Slavomir Hanzely , Alyazeed Albasyoni , Bernard Ghanem , Peter Richtarik

Reducing communication in training large-scale machine learning applications on distributed platform is still a big challenge. To address this issue, we propose a distributed hierarchical averaging stochastic gradient descent (Hier-AVG)…

机器学习 · 计算机科学 2019-09-10 Fan Zhou , Guojing Cong

Convex optimization has become ubiquitous in most quantitative disciplines of science, including variational image processing. Proximal splitting algorithms are becoming popular to solve such structured convex optimization problems. Within…

最优化与控制 · 数学 2015-08-03 Jingwei Liang , Jalal Fadili , Gabriel Peyré , Russell Luke

We address distributed learning problems over undirected networks. Specifically, we focus on designing a novel ADMM-based algorithm that is jointly computation- and communication-efficient. Our design guarantees computational efficiency by…

机器学习 · 计算机科学 2026-01-21 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

This paper investigates solving convex composite optimization on an undirected network, where each node, privately endowed with a smooth component function and a nonsmooth one, is required to minimize the sum of all the component functions…

最优化与控制 · 数学 2021-08-13 Xuyang Wu , Jie Lu

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

最优化与控制 · 数学 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

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.…

最优化与控制 · 数学 2025-04-28 Dmitry Bylinkin , Aleksandr Beznosikov

Decentralized learning algorithms empower interconnected devices to share data and computational resources to collaboratively train a machine learning model without the aid of a central coordinator. In the case of heterogeneous data…

机器学习 · 计算机科学 2023-01-16 Matteo Zecchin , Marios Kountouris , David Gesbert

As one of the most fundamental stochastic optimization algorithms, stochastic gradient descent (SGD) has been intensively developed and extensively applied in machine learning in the past decade. There have been some modified SGD-type…

机器学习 · 计算机科学 2022-01-28 Ruinan Jin , Yu Xing , Xingkang He

Hierarchical SGD (H-SGD) has emerged as a new distributed SGD algorithm for multi-level communication networks. In H-SGD, before each global aggregation, workers send their updated local models to local servers for aggregations. Despite…

机器学习 · 计算机科学 2024-04-12 Jiayi Wang , Shiqiang Wang , Rong-Rong Chen , Mingyue Ji

This paper studies the application of the blended dynamics approach towards distributed optimization problem where the global cost function is given by a sum of local cost functions. The benefits include (i) individual cost function need…

最优化与控制 · 数学 2021-02-26 Seungjoon Lee , Hyungbo Shim

In this work, we consider the problem of a network of agents collectively minimizing a sum of convex functions. The agents in our setting can only access their local objective functions and exchange information with their immediate…

最优化与控制 · 数学 2019-10-01 Charikleia Iakovidou , Ermin Wei

We present a distributed generic algorithm called DAMS dedicated to adaptive optimization in distributed environments. Given a set of metaheuristic, the goal of DAMS is to coordinate their local execution on distributed nodes in order to…

神经与进化计算 · 计算机科学 2012-07-19 Bilel Derbel , Sébastien Verel

Stochastic gradient descent with momentum (SGDM) has been widely used in many machine learning and statistical applications. Despite the observed empirical benefits of SGDM over traditional SGD, the theoretical understanding of the role of…

机器学习 · 计算机科学 2024-02-02 Kejie Tang , Weidong Liu , Yichen Zhang , Xi Chen

Control of network systems with uncertain local dynamics has remained an open problem for a long time. In this paper, a distributed minimax adaptive control algorithm is proposed for such networks whose local dynamics has an uncertain…

系统与控制 · 电气工程与系统科学 2023-11-03 Venkatraman Renganathan , Anders Rantzer , Olle Kjellqvist

Decentralized learning (DL) has recently employed local updates to reduce the communication cost for general non-convex optimization problems. Specifically, local updates require each node to perform multiple update steps on the parameters…

分布式、并行与集群计算 · 计算机科学 2023-07-18 Kangyang Luo , Kunkun Zhang , Shengbo Zhang , Xiang Li , Ming Gao

By enabling the nodes or agents to solve small-sized subproblems to achieve coordination, distributed algorithms are favored by many networked systems for efficient and scalable computation. While for convex problems, substantial…

最优化与控制 · 数学 2022-08-24 Yu Yang , Qing-Shan Jia , Zhanbo Xu , Xiaohong Guan , Costas J. Spanos

This paper proposes a new framework for distributed optimization, called distributed aggregative optimization, which allows local objective functions to be dependent not only on their own decision variables, but also on the average of…

最优化与控制 · 数学 2020-05-28 Xiuxian Li , Lihua Xie , Yiguang Hong