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As datasets and models become increasingly large, distributed training has become a necessary component to allow deep neural networks to train in reasonable amounts of time. However, distributed training can have substantial communication…

Machine Learning · Computer Science 2021-10-18 Jose Javier Gonzalez Ortiz , Jonathan Frankle , Mike Rabbat , Ari Morcos , Nicolas Ballas

We propose a Stochastic Gradient Descent (SGD)-type algorithm for Personalized Federated Learning which can be particularly attractive for mobile energy-limited regimes due to its low per-client computational cost. The model to be trained…

Machine Learning · Computer Science 2025-12-15 Sotirios Nikoloutsopoulos , Iordanis Koutsopoulos , Michalis K. Titsias

With the increase in the amount of data and the expansion of model scale, distributed parallel training becomes an important and successful technique to address the optimization challenges. Nevertheless, although distributed stochastic…

Machine Learning · Computer Science 2019-09-23 Shuheng Shen , Linli Xu , Jingchang Liu , Xianfeng Liang , Yifei Cheng

Distributed-memory implementations of numerical optimization algorithm, such as stochastic gradient descent (SGD), require interprocessor communication at every iteration of the algorithm. On modern distributed-memory clusters where…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Aditya Devarakonda , Ramakrishnan Kannan

Local SGD is a popular optimization method in distributed learning, often outperforming other algorithms in practice, including mini-batch SGD. Despite this success, theoretically proving the dominance of local SGD in settings with…

This paper presents a new generalization error analysis for Decentralized Stochastic Gradient Descent (D-SGD) based on algorithmic stability. The obtained results overhaul a series of recent works that suggested an increased instability due…

Machine Learning · Computer Science 2024-06-14 Batiste Le Bars , Aurélien Bellet , Marc Tommasi , Kevin Scaman , Giovanni Neglia

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

Optimization and Control · Mathematics 2024-06-07 Aaron Fainman , Stefan Vlaski

Asynchronous stochastic gradient descent (ASGD) is a standard way to exploit heterogeneous compute resources in distributed learning: instead of forcing fast workers to wait for slow ones, the server updates the model whenever a gradient…

Machine Learning · Computer Science 2026-05-14 Ammar Mahran , Artavazd Maranjyan , Peter Richtárik

Data generated at the network edge can be processed locally by leveraging the paradigm of edge computing (EC). Aided by EC, decentralized federated learning (DFL), which overcomes the single-point-of-failure problem in the parameter server…

Networking and Internet Architecture · Computer Science 2022-12-06 Yunming Liao , Yang Xu , Hongli Xu , Lun Wang , Chen Qian

Over the last decades, Stochastic Gradient Descent (SGD) has been intensively studied by the Machine Learning community. Despite its versatility and excellent performance, the optimization of large models via SGD still is a time-consuming…

Machine Learning · Computer Science 2025-12-01 Mauro DL Tosi , Martin Theobald

Deep neural networks have been shown to achieve state-of-the-art performance in several machine learning tasks. Stochastic Gradient Descent (SGD) is the preferred optimization algorithm for training these networks and asynchronous SGD…

Machine Learning · Computer Science 2016-04-06 Wei Zhang , Suyog Gupta , Xiangru Lian , Ji Liu

Federated learning (FL) encounters scalability challenges when implemented over fog networks that do not follow FL's conventional star topology architecture. Semi-decentralized FL (SD-FL) has proposed a solution for device-to-device (D2D)…

Networking and Internet Architecture · Computer Science 2026-03-17 Evan Chen , Shiqiang Wang , Christopher G. Brinton

We provide the first convergence analysis of local gradient descent for minimizing the average of smooth and convex but otherwise arbitrary functions. Problems of this form and local gradient descent as a solution method are of importance…

Machine Learning · Computer Science 2020-03-19 Ahmed Khaled , Konstantin Mishchenko , Peter Richtárik

Decentralized optimization with time-varying networks is an emerging paradigm in machine learning. It saves remarkable communication overhead in large-scale deep training and is more robust in wireless scenarios especially when nodes are…

Machine Learning · Computer Science 2022-11-02 Xinmeng Huang , Kun Yuan

Gradient tracking (GT) is an algorithm designed for solving decentralized optimization problems over a network (such as training a machine learning model). A key feature of GT is a tracking mechanism that allows to overcome data…

Optimization and Control · Mathematics 2023-01-05 Yue Liu , Tao Lin , Anastasia Koloskova , Sebastian U. Stich

We study high-probability (HP) convergence guarantees in decentralized stochastic optimization, where multiple agents collaborate to jointly train a model over a network. Existing HP results in decentralized settings almost exclusively…

Machine Learning · Computer Science 2026-05-04 Aleksandar Armacki , Haoyuan Cai , Ali H. Sayed

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…

Machine Learning · Computer Science 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…

Machine Learning · Computer Science 2025-08-13 Yuze Liu , Tiehua Zhang , Zhishu Shen , Libing Wu , Shiping Chen , Jiong Jin

This work tackles the challenges of data heterogeneity and communication limitations in decentralized federated learning. We focus on creating a collaboration graph that guides each client in selecting suitable collaborators for training…

Machine Learning · Computer Science 2024-06-11 Salma Kharrat , Marco Canini , Samuel Horvath

We first propose a decentralized proximal stochastic gradient tracking method (DProxSGT) for nonconvex stochastic composite problems, with data heterogeneously distributed on multiple workers in a decentralized connected network. To save…

Optimization and Control · Mathematics 2023-03-01 Yonggui Yan , Jie Chen , Pin-Yu Chen , Xiaodong Cui , Songtao Lu , Yangyang Xu
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