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Pseudo-arclength continuation is a well-established method for generating a numerical curve approximating the solution of an underdetermined system of nonlinear equations. It is an inherently sequential predictor-corrector method in which…

数值分析 · 数学 2013-12-13 Dhavide Aruliah , Lennaert van Veen , Alex Dubitski

This paper investigates an expected average error for distributed averaging problems under asynchronous updates. The asynchronism in this context implies no existence of a global clock as well as random characteristics in communication…

系统与控制 · 电气工程与系统科学 2020-06-04 Kooktae Lee

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

最优化与控制 · 数学 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

This article introduces a highly parallel algorithm for molecular dynamics simulations with short-range forces on single node multi- and many-core systems. The algorithm is designed to achieve high parallel speedups for strongly…

计算物理 · 物理学 2013-11-20 R. Meyer

We analyze convergence of decentralized cooperative online estimation algorithms by a network of multiple nodes via information exchanging in an uncertain environment. Each node has a linear observation of an unknown parameter with randomly…

信号处理 · 电气工程与系统科学 2020-12-08 Jiexiang Wang , Tao Li , Xiwei Zhang

Self-stabilization is a general paradigm to provide forward recovery capabilities to distributed systems and networks. Intuitively, a protocol is self-stabilizing if it is able to recover without external intervention from any catastrophic…

数据结构与算法 · 计算机科学 2008-11-25 Stéphane Devismes , Toshimitsu Masuzawa , Sébastien Tixeuil

A key challenge in decentralized optimization is determining the optimal convergence rate and designing algorithms to achieve it. While this problem has been extensively addressed for doubly-stochastic and column-stochastic mixing matrices,…

最优化与控制 · 数学 2025-06-06 Liyuan Liang , Xinyi Chen , Gan Luo , Kun Yuan

This paper proposes a communication strategy for decentralized learning on wireless systems. Our discussion is based on the decentralized parallel stochastic gradient descent (D-PSGD), which is one of the state-of-the-art algorithms for…

网络与互联网体系结构 · 计算机科学 2020-02-26 Koya Sato , Yasuyuki Satoh , Daisuke Sugimura

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…

机器学习 · 计算机科学 2026-05-14 Ammar Mahran , Artavazd Maranjyan , Peter Richtárik

Full understanding of synchronous behavior in coupled dynamical systems beyond the identical case requires an explicit construction of the generalized synchronization manifold, whether we wish to compare the systems, or to understand their…

混沌动力学 · 物理学 2009-11-13 Jie Sun , Erik M. Bollt , Takashi Nishikawa

This paper presents a framework for designing a class of distributed, asynchronous optimization algorithms, realized as signal processing architectures utilizing various conservation principles. The architectures are specifically based on…

最优化与控制 · 数学 2015-09-16 Thomas A. Baran , Tarek A. Lahlou

Stochastic Gradient Descent (SGD) is the standard numerical method used to solve the core optimization problem for the vast majority of machine learning (ML) algorithms. In the context of large scale learning, as utilized by many Big Data…

分布式、并行与集群计算 · 计算机科学 2015-10-06 Janis Keuper , Franz-Josef Pfreundt

We consider the distributed learning problem with data dispersed across multiple workers under the orchestration of a central server. Asynchronous Stochastic Gradient Descent (SGD) has been widely explored in such a setting to reduce the…

机器学习 · 计算机科学 2024-05-28 Xiaolu Wang , Yuchang Sun , Hoi-To Wai , Jun Zhang

We investigate the theoretical limits of pipeline parallel learning of deep learning architectures, a distributed setup in which the computation is distributed per layer instead of per example. For smooth convex and non-convex objective…

机器学习 · 统计学 2019-10-14 Igor Colin , Ludovic Dos Santos , Kevin Scaman

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

最优化与控制 · 数学 2008-01-22 S. Emre Tuna

Asynchronous algorithms have attracted much attention recently due to the crucial demands on solving large-scale optimization problems. However, the accelerated versions of asynchronous algorithms are rarely studied. In this paper, we…

最优化与控制 · 数学 2018-02-28 Cong Fang , Yameng Huang , Zhouchen Lin

The past decade has seen rapid growth of distributed stream data processing systems. Under these systems, a stream application is realized as a Directed Acyclic Graph (DAG) of operators, where the level of parallelism of each operator has a…

数据库 · 计算机科学 2023-09-22 Jinqing Lian , Xinyi Zhang , Yingxia Shao , Zenglin Pu , Qingfeng Xiang , Yawen Li , Bin Cui

Packet-level discrete-event simulation (PLDES) is a prevalent tool for evaluating detailed performance of large model training. Although PLDES offers high fidelity and generality, its slow performance has plagued networking practitioners.…

网络与互联网体系结构 · 计算机科学 2026-02-12 Fei Long , Kaihui Gao , Li Chen , Dan Li , Yiwei Zhang , Fei Gui , Yitao Xing , Wenjia Wei , Bingyang Liu

High-precision time synchronization is a vital prerequisite for many modern applications and technologies, including Smart Grids, Time-Sensitive Networking (TSN), and 5G networks. Although the Precision Time Protocol (PTP) can accomplish…

密码学与安全 · 计算机科学 2024-02-08 Andreas Finkenzeller , Oliver Butowski , Emanuel Regnath , Mohammad Hamad , Sebastian Steinhorst

We analyse the learning performance of Distributed Gradient Descent in the context of multi-agent decentralised non-parametric regression with the square loss function when i.i.d. samples are assigned to agents. We show that if agents hold…

机器学习 · 统计学 2019-11-14 Dominic Richards , Patrick Rebeschini