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We address the challenges of Byzantine-robust training in asynchronous distributed machine learning systems, aiming to enhance efficiency amid massive parallelization and heterogeneous computing resources. Asynchronous systems, marked by…

Machine Learning · Computer Science 2025-06-05 Tehila Dahan , Kfir Y. Levy

We present different classes of solutions to the Firing Squad Synchronization Problem on networks of different shapes. The nodes are finite state processors that work at unison discrete steps. The networks considered are the line, the ring…

Data Structures and Algorithms · Computer Science 2007-05-23 J. Gruska , S. La Torre , M. Napoli , M. Parente

In the renaming problem, a set of $n$ nodes, each with a unique identity from a large namespace $[N]$, needs to obtain new unique identities in a smaller namespace $[M]$. A renaming algorithm is strong if $M=n$. Renaming is a classical…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-01 Sirui Bai , Xinyu Fu , Yuheng Wang , Yuyi Wang , Chaodong Zheng

A self-stabilizing is naturally resilient to transients faults (that is, faults of finite duration). Recently, a new class of protocol appears. These protocols are self-stabilizing and are moreover resilient to a limited number of permanent…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-04-21 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

Symmetries are ubiquitous in network systems and have profound impacts on the observable dynamics. At the most fundamental level, many synchronization patterns are induced by underlying network symmetry, and a high degree of symmetry is…

Adaptation and Self-Organizing Systems · Physics 2019-02-18 Joseph D. Hart , Yuanzhao Zhang , Rajarshi Roy , Adilson E. Motter

This paper is devoted to deterministic consensus in synchronous dynamic networks with unidirectional links, which are under the control of an omniscient message adversary. Motivated by unpredictable node/system initialization times and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-06 Manfred Schwarz , Kyrill Winkler , Ulrich Schmid

For reaching fast and efficient self-stabilizing Byzantine pulse synchronization (SSBPS) upon the bounded-delay message-passing networks, we consider the peaceable SSBPS problem where the resource occupation in the stabilized system is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-21 Shaolin Yu , Jihong Zhu , Jiali Yang

This paper studies the problem of stabilizing a self-triggered control system with quantized output. Employing a standard observer-based state feedback control law, a self-triggering mechanism that dictates the next sampling time based on…

Systems and Control · Electrical Eng. & Systems 2023-02-15 Wenjie Liu , Masashi Wakaiki , Jian Sun , Gang Wang , Jie Chen

Given a network in which some pairs of nodes can communicate freely, and some subsets of the nodes could be faulty and colluding to disrupt communication, when can messages reliably be sent from one given node to another? We give a new…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-11 Adam Hesterberg , Andrea Lincoln , Jayson Lynch

In this paper, the fixed-time cluster synchronization problem for complex networks via pinning control is discussed. Fixed-time synchronization has been a hot topic in recent years, which means that the network can achieve synchronization…

Systems and Control · Computer Science 2015-09-14 Xiwei Liu , Tianping Chen

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

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

We present the $\delta$-Synchronizer, which works in non-synchronous dynamic networks under minimal assumptions. Our model allows for arbitrary topological changes without any guarantee of eventual global or partial stabilization and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-30 Rida Bazzi , Cameron Bickley , Anya Chaturvedi , Andréa W. Richa , Peter Vargas

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

Machine Learning · Computer Science 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

In this paper we analyze the problem of optimal task scheduling for data centers. Given the available resources and tasks, we propose a fast distributed iterative algorithm which operates over a large scale network of nodes and allows each…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-08 Apostolos I. Rikos , Andreas Grammenos , Evangelia Kalyvianaki , Christoforos N. Hadjicostis , Themistoklis Charalambous , Karl H. Johansson

Large computer networks are an essential part of modern technology, and quite often information needs to be broadcast to all the computers in the network. If all computers work perfectly all the time, this is simple. Suppose, however, that…

Data Structures and Algorithms · Computer Science 2017-09-15 Yoel Grinshpon , Ori Gurel-Gurevich

The searching for the stable patterns in the evolution of cellular automata is implemented using stochastic synchronization between the present structures of the system and its precedent configurations. For most of the known evolution rules…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

Today's mainstream network timing models for distributed computing are synchrony, partial synchrony, and asynchrony. These models are coarse-grained and often make either too strong or too weak assumptions about the network. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-29 Neil Giridharan , Ittai Abraham , Natacha Crooks , Kartik Nayak , Ling Ren

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

In this work, the synchronization problem of a master-slave system of autonomous ordinary differential equations (ODEs) is considered. Here, the systems are, chaotic with a nonlinearity represented by a piecewise linear function,…

Chaotic Dynamics · Physics 2021-12-16 J. Telenchana , A. Acosta , P. Garcia