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We present a family of automata networks that solve the k-parity problem when run in parallel. These solutions are constructed by connecting cliques in a non-cyclical fashion. The size of the local neighbourhood is linear in the size of the…

离散数学 · 计算机科学 2024-02-06 Pacôme Perrotin , Eurico Ruivo , Pedro Paulo Balbi

Functional digraphs are unlabelled finite digraphs where each vertex has exactly one out-neighbor. They are isomorphic classes of finite discrete-time dynamical systems. Endowed with the direct sum and product, functional digraphs form a…

组合数学 · 数学 2026-03-04 Florian Bridoux , Christophe Crespelle , Thi Ha Duong Phan , Adrien Richard

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…

分布式、并行与集群计算 · 计算机科学 2018-09-11 Rui Tan , Linshan Jiang , Arvind Easwaran , Jothi Prasanna Shanmuga Sundaram

The functions of many networked systems in physics, biology or engineering rely on a coordinated or synchronized dynamics of its constituents. In power grids for example, all generators must synchronize and run at the same frequency and…

适应与自组织系统 · 物理学 2017-09-13 Debsankha Manik , Marc Timme , Dirk Witthaut

We present a proof of concept for solving a 1+1D complex-valued, delay partial differential equation (PDE) that emerges in the study of waveguide quantum electrodynamics (QED) by adapting the finite-difference time-domain (FDTD) method. The…

数学软件 · 计算机科学 2018-11-19 Yao-Lung L. Fang

The orbit problem is at the heart of symmetry reduction methods for model checking concurrent systems. It asks whether two given configurations in a concurrent system (represented as finite strings over some finite alphabet) are in the same…

计算复杂性 · 计算机科学 2015-11-17 Anthony Widjaja Lin , Sanming Zhou

Some iterative calculations can be carried out by parallel communicating processors, and yield the same results whether or not the processors are synchronized. We show that this is the case if and only if the iteration is a contraction that…

网络与互联网体系结构 · 计算机科学 2017-01-27 Alexander J. T. Gurney

An efficient implementation of many multiparty protocols for quantum networks requires that all the nodes in the network share a common reference frame. Establishing such a reference frame from scratch is especially challenging in an…

量子物理 · 物理学 2016-03-31 Tanvirul Islam , Stephanie Wehner

We investigate bifurcation phenomena between slow and fast convergences of synchronization errors arising in the proposed synchronization system consisting of two identical nonlinear dynamical systems linked by a common noisy input only.…

动力系统 · 数学 2009-09-09 Katsutoshi Yoshida , Yusuke Nishizawa

With the growing complexity and capability of contemporary robotic systems, the necessity of sophisticated computing solutions to efficiently handle tasks such as real-time processing, sensor integration, decision-making, and control…

机器人学 · 计算机科学 2025-09-09 Md Rafid Islam

We consider the problem of encoding information in a system of N=K+R processors that operate in a decentralized manner, i.e., without a central processor which orchestrates the operation. The system involves K source processors, each…

分布式、并行与集群计算 · 计算机科学 2025-06-26 Canran Wang , Netanel Raviv

We present a general approach to the study of synchrony in networks of weakly nonlinear systems described by singularly perturbed equations of the type $x''+x+\epsilon f(x,x')=0$. By performing a perturbative calculation based on normal…

斑图形成与孤子 · 物理学 2016-08-16 Krešimir Josić , Slaven Peleš

A method for engineering the behavior of populations of rhythmic elements is presented. The framework, which is based on phase models, allows a nonlinear time-delayed global feedback signal to be constructed which produces an interaction…

适应与自组织系统 · 物理学 2010-10-26 Hiroshi Kori , Craig G. Rusin , Istvan Z. Kiss , John L. Hudson

Neural-network processing in machine learning applications relies on layer synchronization. This is practiced even in artificial Spiking Neural Networks (SNNs), which are touted as consistent with neurobiology, in spite of processing in the…

神经与进化计算 · 计算机科学 2025-10-27 Roel Koopman , Amirreza Yousefzadeh , Mahyar Shahsavari , Guangzhi Tang , Manolis Sifalakis

The problem of optimising a network of discretely firing neurons is addressed. An objective function is introduced which measures the average number of bits that are needed for the network to encode its state. When this is minimised, it is…

神经与进化计算 · 计算机科学 2015-05-05 Stephen Luttrell

This paper addresses the problem of scheduling jobs on identical machines with conflict constraints, where certain jobs cannot be scheduled simultaneously on different machines. We focus on the case where conflicts can be represented by a…

离散数学 · 计算机科学 2025-07-03 Nour ElHouda Tellache , Lydia Aoudia , Mourad Boudhar

We study the distributed optimization of transmit strategies in a multiple-input, single-output (MISO) interference channel (IFC). Existing distributed algorithms rely on stricly synchronized update steps by the individual users. They…

信息论 · 计算机科学 2015-06-19 Stefan Wesemann , Gerhard Fettweis

In this paper we summarize the existing principles for building unconventional computing devices that involve delayed signals for encoding solutions to NP-complete problems. We are interested in the following aspects: the properties of the…

新兴技术 · 计算机科学 2015-09-10 Mihai Oltean , Oana Muntean

We study asynchronous federated learning mechanisms with nodes having potentially different computational speeds. In such an environment, each node is allowed to work on models with potential delays and contribute to updates to the central…

分布式、并行与集群计算 · 计算机科学 2024-05-02 Louis Leconte , Matthieu Jonckheere , Sergey Samsonov , Eric Moulines

Link and node failures are common two fundamental problems that affect operational networks. Hence, protection of communication networks is essential to increase their reliability, performance, and operations. Much research work has been…

信息论 · 计算机科学 2009-06-30 Salah A. Aly , Ahmed E. Kamal