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This paper presents fault-tolerant asynchronous Stochastic Gradient Descent (SGD) algorithms. SGD is widely used for approximating the minimum of a cost function $Q$, as a core part of optimization and learning algorithms. Our algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-14 Hagit Attiya , Noa Schiller

Synchronous local stochastic gradient descent (local SGD) suffers from some workers being idle and random delays due to slow and straggling workers, as it waits for the workers to complete the same amount of local updates. In this paper, to…

Machine Learning · Computer Science 2023-05-30 Feng Zhu , Jingjing Zhang , Xin Wang

With the recent proliferation of large-scale learning problems,there have been a lot of interest on distributed machine learning algorithms, particularly those that are based on stochastic gradient descent (SGD) and its variants. However,…

Machine Learning · Computer Science 2015-12-07 Ruiliang Zhang , Shuai Zheng , James T. Kwok

We study the distributed optimization problem over a graphon with a continuum of nodes, which is regarded as the limit of the distributed networked optimization as the number of nodes goes to infinity. Each node has a private local cost…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Yan Chen , Tao Li , Xiaofeng Zong

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

We propose a satellite-based scheme to perform clock synchronization between ground stations spread across the globe using quantum resources. We refer to this as a quantum clock synchronization (QCS) network. Through detailed numerical…

We consider speeding up stochastic gradient descent (SGD) by parallelizing it across multiple workers. We assume the same data set is shared among $N$ workers, who can take SGD steps and coordinate with a central server. While it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-28 Artin Spiridonoff , Alex Olshevsky , Ioannis Ch. Paschalidis

Subsynchronous oscillations (SSOs) involving grid-following converters (GFLCs) connected to weak grids are a relatively new phenomena observed in modern power systems. SSOs are further exacerbated when grids become weaker because lines are…

Optimization and Control · Mathematics 2025-01-13 Sina Ameli , Lilan Karunaratne , Nilanjan Ray Chaudhuri , Constantino Lagoa

Clock synchronization has become a key design objective in wireless networks for its essential importance in many applications. However, as the wireless link is prone to random network delays due to unreliable channel conditions, it is in…

Signal Processing · Electrical Eng. & Systems 2020-02-06 Osama Elnahas , Zhi Quan

We consider the fundamental problem of clock synchronization in a synchronous multi-agent system. Each agent holds a clock with an arbitrary initial value, and clocks must eventually indicate the same value. Previous algorithms worked in…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-14 Bernadette Charron-Bost , Louis Penet de Monterno

Stochastic Gradient Descent (SGD) is a fundamental algorithm in machine learning, representing the optimization backbone for training several classic models, from regression to neural networks. Given the recent practical focus on…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-25 Dan Alistarh , Christopher De Sa , Nikola Konstantinov

The vast majority of hardware architectures use a carefully timed reference signal to clock their computational logic. However, standard distribution solutions are not fault-tolerant. In this work, we present a simple grid structure as a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Christoph Lenzen , Ben Wiederhake

Gradient Descent (GD) is a powerful workhorse of modern machine learning thanks to its scalability and efficiency in high-dimensional spaces. Its ability to find local minimisers is only guaranteed for losses with Lipschitz gradients, where…

Machine Learning · Computer Science 2023-07-27 Lei Chen , Joan Bruna

Recent studies exploited external periodic synchronous signals to synchronize a pair of network nodes to address a threat of delaying the communications between the nodes. However, the sensing-based synchronization may yield faults due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-11 Rui Tan , Linshan Jiang , Arvind Easwaran , Jothi Prasanna Shanmuga Sundaram

This work considers the problem of decentralized online learning, where the goal is to track the optimum of the sum of time-varying functions, distributed across several nodes in a network. The local availability of the functions and their…

Machine Learning · Computer Science 2024-02-14 Shivangi Dubey Sharma , Ketan Rajawat

Gradient optimization algorithms using epochs, that is those based on stochastic gradient descent without replacement (SGDo), are predominantly used to train machine learning models in practice. However, the mathematical theory of SGDo and…

Machine Learning · Computer Science 2025-12-05 Stefan Perko

As TESLA-enabled GNSS for authenticated positioning reaches ubiquity, receivers must use an onboard, GNSS-independent clock and carefully constructed time synchronization algorithms to assert the authenticity afforded. This work provides…

Cryptography and Security · Computer Science 2025-03-19 Jason Anderson , Sherman Lo , Todd Walter

We consider the problem of localizing two sensors using signals of opportunity from beacons with known positions. Beacons and sensors have asynchronous local clocks or oscillators with unknown clock skews and offsets. We model clock skews…

Information Theory · Computer Science 2013-09-09 Mei Leng , Wee Peng Tay , Chong Meng Samson See , Sirajudeen Gulam Razul , Moe Z. Win

This paper considers a general data-fitting problem over a networked system, in which many computing nodes are connected by an undirected graph. This kind of problem can find many real-world applications and has been studied extensively in…

Machine Learning · Computer Science 2017-04-14 Ying Zhang

Time-Sensitive Networking (TSN) is a promising industrial Internet of Things technology. Clock synchronization provides unified time reference, which is critical to the deterministic communication of TSN. However, changes in internal…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Yafei Sun , Qimin Xu , Cailian Chen , Xinping Guan