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One of the most common methods to train machine learning algorithms today is the stochastic gradient descent (SGD). In a distributed setting, SGD-based algorithms have been shown to converge theoretically under specific circumstances. A…

Machine Learning · Computer Science 2025-08-22 Soumya Sarkar , Shweta Jain

The decentralized gradient descent (DGD) algorithm, and its sibling, diffusion, are workhorses in decentralized machine learning, distributed inference and estimation, and multi-agent coordination. We propose a novel, principled framework…

Signal Processing · Electrical Eng. & Systems 2025-06-04 Erik G. Larsson , Nicolo Michelusi

Compressed Stochastic Gradient Descent (SGD) algorithms have been recently proposed to address the communication bottleneck in distributed and decentralized optimization problems, such as those that arise in federated machine learning.…

Machine Learning · Statistics 2022-07-21 Adarsh M. Subramaniam , Akshayaa Magesh , Venugopal V. Veeravalli

Decentralized optimization is typically studied under the assumption of noise-free transmission. However, real-world scenarios often involve the presence of noise due to factors such as additive white Gaussian noise channels or…

Optimization and Control · Mathematics 2023-07-28 Suhail M. Shah , Raghu Bollapragada

Communication-efficient SGD algorithms, which allow nodes to perform local updates and periodically synchronize local models, are highly effective in improving the speed and scalability of distributed SGD. However, a rigorous convergence…

Machine Learning · Computer Science 2019-01-28 Jianyu Wang , Gauri Joshi

The implementation of a vast majority of machine learning (ML) algorithms boils down to solving a numerical optimization problem. In this context, Stochastic Gradient Descent (SGD) methods have long proven to provide good results, both in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-06 Janis Keuper , Franz-Josef Pfreundt

Decentralized optimization enables multiple devices to learn a global machine learning model while each individual device only has access to its local dataset. By avoiding the need for training data to leave individual users' devices, it…

Machine Learning · Computer Science 2026-04-22 Ziqin Chen , Zuang Wang , Yongqiang Wang

Perfect synchronization in distributed machine learning problems is inefficient and even impossible due to the existence of latency, package losses and stragglers. We propose a Robust Fully-Asynchronous Stochastic Gradient Tracking method…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-30 Zehan Zhu , Ye Tian , Yan Huang , Jinming Xu , Shibo He

This paper considers the minimization of a sum of smooth and strongly convex functions dispatched over the nodes of a communication network. Previous works on the subject either focus on synchronous algorithms, which can be heavily slowed…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-09 Mathieu Even , Hadrien Hendrikx , Laurent Massoulié

Gradient quantization is an emerging technique in reducing communication costs in distributed learning. Existing gradient quantization algorithms often rely on engineering heuristics or empirical observations, lacking a systematic approach…

Machine Learning · Computer Science 2021-08-02 Guangfeng Yan , Shao-Lun Huang , Tian Lan , Linqi Song

The scale of deep learning nowadays calls for efficient distributed training algorithms. Decentralized momentum SGD (DmSGD), in which each node averages only with its neighbors, is more communication efficient than vanilla Parallel momentum…

Machine Learning · Computer Science 2021-04-27 Kun Yuan , Yiming Chen , Xinmeng Huang , Yingya Zhang , Pan Pan , Yinghui Xu , Wotao Yin

The widely-adopted practice is to train deep learning models with specialized hardware accelerators, e.g., GPUs or TPUs, due to their superior performance on linear algebra operations. However, this strategy does not employ effectively the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-21 Yujing Ma , Florin Rusu

Stochastic gradient descent (SGD) is an essential element in Machine Learning (ML) algorithms. Asynchronous parallel shared-memory SGD (AsyncSGD), including synchronization-free algorithms, e.g. HOGWILD!, have received interest in certain…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-19 Karl Bäckström , Ivan Walulya , Marina Papatriantafilou , Philippas Tsigas

Gossip algorithms are widely used in modern distributed systems, with applications ranging from sensor networks and peer-to-peer networks to mobile vehicle networks and social networks. A tremendous research effort has been devoted to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Guodong Shi , Bo Li , Mikael Johansson , Karl Henrik Johansson

In this work, we focus on the communication aspect of decentralized learning, which involves multiple agents training a shared machine learning model using decentralized stochastic gradient descent (D-SGD) over distributed data. In…

Networking and Internet Architecture · Computer Science 2023-07-10 Zheng Chen , Martin Dahl , Erik G. Larsson

We consider the problem of decentralized consensus optimization, where the sum of $n$ smooth and strongly convex functions are minimized over $n$ distributed agents that form a connected network. In particular, we consider the case that the…

Machine Learning · Computer Science 2019-10-02 Amirhossein Reisizadeh , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

Decentralized stochastic gradient descent (D-SGD) allows collaborative learning on massive devices simultaneously without the control of a central server. However, existing theories claim that decentralization invariably undermines…

Machine Learning · Computer Science 2023-11-10 Tongtian Zhu , Fengxiang He , Kaixuan Chen , Mingli Song , Dacheng Tao

We describe a computationally efficient, stochastic graph-regularization technique that can be utilized for the semi-supervised training of deep neural networks in a parallel or distributed setting. We utilize a technique, first described…

Machine Learning · Statistics 2018-05-31 Sunil Thulasidasan , Jeffrey Bilmes , Garrett Kenyon

This paper investigates the stochastic optimization problem with a focus on developing scalable parallel algorithms for deep learning tasks. Our solution involves a reformation of the objective function for stochastic optimization in neural…

Machine Learning · Computer Science 2020-04-09 Pengzhan Guo , Zeyang Ye , Keli Xiao , Wei Zhu

Emerging applications in multi-agent environments such as internet-of-things, networked sensing, autonomous systems and federated learning, call for decentralized algorithms for finite-sum optimizations that are resource-efficient in terms…

Machine Learning · Statistics 2021-12-03 Boyue Li , Zhize Li , Yuejie Chi