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State-of-the-art neural algorithmic reasoners make use of message passing in graph neural networks (GNNs). But typical GNNs blur the distinction between the definition and invocation of the message function, forcing a node to send messages…

机器学习 · 计算机科学 2024-01-15 Andrew Dudzik , Tamara von Glehn , Razvan Pascanu , Petar Veličković

The firing squad synchronization problem (FSSP, for short) is a problem in automata theory introduced in 1957 by John Myhill. Its goal is to design a finite automaton A such that, if copies of A are placed in a line and connected and are…

形式语言与自动机理论 · 计算机科学 2019-09-13 Kojiro Kobayashi

Firing Squad Synchronisation on Cellular Automata is the dynamical synchronisation of finitely many cells without any prior knowledge of their range. This can be conceived as a signal with an infinite speed. Most of the proposed…

离散数学 · 计算机科学 2021-06-22 Jérôme Durand-Lose , Aurélien Emmanuel

Data reconciliation in general, and filesystem synchronization in particular, lacks rigorous theoretical foundation. This paper presents, for the first time, a complete analysis of synchronization for two replicas of a theoretical…

信息论 · 计算机科学 2022-11-15 Elod P. Csirmaz , Laszlo Csirmaz

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

最优化与控制 · 数学 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

In large-scale excitatory neuronal networks, rapid synchronization manifests as {multiple firing events (MFEs)}, mathematically characterized by a finite-time blow-up of the neuronal firing rate in the mean-field Fokker-Planck equation.…

数值分析 · 数学 2026-03-23 Xu'an Dou , Louis Tao , Zhe Xue , Zhennan Zhou

With the advancement of technologies like Industry 4.0, communication networks must meet stringent requirements of applications demanding deterministic and bounded latencies. The problem is further compounded by the need to periodically…

网络与互联网体系结构 · 计算机科学 2024-07-15 Aviroop Ghosh , Saleh Yousefi , Thomas Kunz

Previous work has shown that there are two major complexity barriers in the synthesis of fault-tolerant distributed programs: (1) generation of fault-span, the set of states reachable in the presence of faults, and (2) resolving deadlock…

分布式、并行与集群计算 · 计算机科学 2009-12-15 Fuad Abujarad , Borzoo Bonakdarpour , Sandeep S. Kulkarni

Finding a provably correct subquadratic synchronization algorithm for many filesystem replicas is one of the main theoretical problems in Operational Transformation (OT) and Conflict-free Replicated Data Types (CRDT) frameworks. Based on…

信息论 · 计算机科学 2023-05-19 Elod P. Csirmaz , Laszlo Csirmaz

Continuous and discrete models for firefighting problems are well-studied in Theoretical Computer Science. We introduce a new, discrete, and more general framework based on a hexagonal cell graph to study firefighting problems in varied…

计算几何 · 计算机科学 2019-11-26 Rolf Klein , David Kübel , Elmar Langetepe , Jörg-Rüdiger Sack , Barbara Schwarzwald

In this paper, we study network linear equations subject to digital communications with a finite data rate, where each node is associated with one equation from a system of linear equations. Each node holds a dynamic state and interacts…

最优化与控制 · 数学 2018-08-10 Jinlong Lei , Peng Yi , Guodong Shi , Brian D. O. Anderson

Group synchronization plays a crucial role in global pipelines for Structure from Motion (SfM). Its formulation is nonconvex and it is faced with highly corrupted measurements. Cycle consistency has been effective in addressing these…

计算机视觉与模式识别 · 计算机科学 2024-07-08 Shaohan Li , Yunpeng Shi , Gilad Lerman

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,…

混沌动力学 · 物理学 2021-12-16 J. Telenchana , A. Acosta , P. Garcia

Federated learning enables training on a massive number of edge devices. To improve flexibility and scalability, we propose a new asynchronous federated optimization algorithm. We prove that the proposed approach has near-linear convergence…

分布式、并行与集群计算 · 计算机科学 2020-12-08 Cong Xie , Sanmi Koyejo , Indranil Gupta

In this paper, we address the finite time synchronization of a network of dynamical systems with time-varying interactions modeled using temporal networks. We synchronize a few nodes initially using external control inputs. These nodes are…

系统与控制 · 电气工程与系统科学 2024-03-15 Aandrew Baggio S , Rachel Kalpana Kalaimani

Disjoint paths are defined as paths between the source and destination nodes where the intermediate nodes in any two paths are disjoint. They are helpful in fault-tolerance routing and securing message distribution in the network. Several…

分布式、并行与集群计算 · 计算机科学 2021-10-07 Hesham AlMansouri , Zaid Hussain

The network communication scenario where one or more receivers request all the information transmitted by different sources is considered. We introduce distributed polynomial-time network codes in the presence of malicious nodes. Our codes…

网络与互联网体系结构 · 计算机科学 2010-01-18 Hongyi Yao , Theodoros K. Dikaliotis , Sidharth Jaggi , Tracey Ho

We study the problem of clock synchronization in a networked system with arbitrary starts for all nodes. We consider a synchronous network of $n$ nodes, where each node has a local clock that is an integer counter. Eventually, clocks must…

分布式、并行与集群计算 · 计算机科学 2024-11-18 Bernadette Charron-Bost , Louis Penet de Monterno

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This…

混沌动力学 · 物理学 2016-04-20 K. Srinivasan , V. K Chandrasekar , R. Gladwin Pradeep , K. Murali , M. Lakshmanan

Does synchronization between action potentials from different neurons in the visual system play a substantial role in solving the binding problem? The binding problem can be studied quantitatively in the broader framework of the information…

生物物理 · 物理学 2007-05-23 Simon R. Schultz , Huw D. R. Golledge , Stefano Panzeri