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In this paper, we analyze the monotone space of complexity of directed connectivity for a large class of input graphs $G$ using the switching network model. The upper and lower bounds we obtain are a significant generalization of previous…

数据结构与算法 · 计算机科学 2013-12-17 Aaron Potechin

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

神经元与认知 · 定量生物学 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett

Natural, social, and artificial multi-agent systems usually operate in dynamic environments, where the ability to respond to changing circumstances is a crucial feature. An effective collective response requires suitable information…

系统与控制 · 计算机科学 2022-09-29 David Mateo , Nikolaj Horsevad , Vahid Hassani , Mohammadreza Chamanbaz , Roland Bouffanais

We investigate sensitivity to cumulative perturbations for a few dynamical system classes of practical interest. A system is said to have bounded sensitivity to cumulative perturbations (bounded sensitivity, for short) if an additive…

系统与控制 · 计算机科学 2020-05-25 Arsalan Sharifnassab , S. Jamaloddin Golestani

The transmission rate, delivery reliability and network lifetime are three fundamental but conflicting design objectives in energy-constrained wireless sensor networks. In this paper, we address the optimal rate-reliability-lifetime…

网络与互联网体系结构 · 计算机科学 2013-03-18 Weiqiang Xu , Qingjiang Shi , Xiaoyun Wei , Yaming Wang

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

无序系统与神经网络 · 物理学 2009-10-31 Stefan Bornholdt , Thimo Rohlf

Emerging software-defined networking technologies enable more adaptive communication infrastructures, allowing for quick reactions to changes in networking requirements by exploiting the workload's temporal structure. However, operating…

网络与互联网体系结构 · 计算机科学 2022-11-08 Monika Henzinger , Ami Paz , Arash Pourdamghani , Stefan Schmid

Deep neural networks give us a powerful method to model the training dataset's relationship between input and output. We can regard that as a complex adaptive system consisting of many artificial neurons that work as an adaptive memory as a…

无序系统与神经网络 · 物理学 2024-05-08 Kenichi Nakazato

Randomized network coding (RNC) greatly reduces the complexity of implementing network coding in large-scale, heterogeneous networks. This paper examines two tradeoffs in applying RNC: The first studies how the performance of RNC varies…

信息论 · 计算机科学 2009-02-18 Yingda Chen , Shalinee Kishore

We consider fair network topology inference from nodal observations. Real-world networks often exhibit biased connections based on sensitive nodal attributes. Hence, different subpopulations of nodes may not share or receive information…

信号处理 · 电气工程与系统科学 2024-03-26 Madeline Navarro , Samuel Rey , Andrei Buciulea , Antonio G. Marques , Santiago Segarra

The spread of perturbative signals in complex networks is governed by the combined effect of the network topology and its intrinsic nonlinear dynamics. Recently, the resulting spreading patterns have been analyzed and predicted, shown to…

适应与自组织系统 · 物理学 2020-06-09 Chittaranjan Hens , Uzi Harush , Simcha Haber , Reuven Cohen , Baruch Barzel

Given a target function $f$, how large must a neural network be in order to approximate $f$? Recent works examine this basic question on neural network \textit{expressivity} from the lens of dynamical systems and provide novel…

机器学习 · 计算机科学 2021-10-22 Clayton Sanford , Vaggos Chatziafratis

We study tolerance and topology of random scale-free networks under attack and defense strategies that depend on the degree k of the nodes. This situation occurs, for example, when the robustness of a node depends on its degree or in an…

无序系统与神经网络 · 物理学 2009-11-11 Lazaros K. Gallos , Reuven Cohen , Panos Argyrakis , Armin Bunde , Shlomo Havlin

The emerging interest in low-latency high-reliability applications, such as connected vehicles, necessitates a new abstraction between communication and control. Thanks to advances in cyber-physical systems over the past decades, we…

最优化与控制 · 数学 2018-10-31 Konstantinos Gatsis , Hamed Hassani , George J. Pappas

A small-world topology characterizes many complex systems including the structural and functional organization of brain networks. The topology allows simultaneously for local and global efficiency in the interaction of the system…

物理与社会 · 物理学 2015-05-30 Sinisa Pajevic , Dietmar Plenz

We show that subsets of interacting oscillators may synchronize in different ways within a single network. This diversity of synchronization patterns is promoted by increasing the heterogeneous distribution of coupling weights and/or…

斑图形成与孤子 · 物理学 2017-04-05 Daniel Malagarriga , Alessandro E. P. Villa , Jordi García-Ojalvo , Antonio J. Pons

In this paper, our recently proposed mobile-conductance based analytical framework is extended to the sparse settings, thus offering a unified tool for analyzing information spreading in mobile networks. A penalty factor is identified for…

网络与互联网体系结构 · 计算机科学 2014-04-01 Huazi Zhang , Yufan Huang , Zhaoyang Zhang , Huaiyu Dai

Networks are universally considered as complex structures of interactions of large multi-component systems. In order to determine the role that each node has inside a complex network, several centrality measures have been developed. Such…

物理与社会 · 物理学 2019-08-20 Malbor Asllani , Bruno Requiao da Cunha , Ernesto Estrada , James P. Gleeson

We model recruitment in adaptive social networks in the presence of birth and death processes. Recruitment is characterized by nodes changing their status to that of the recruiting class as a result of contact with recruiting nodes. Only a…

种群与进化 · 定量生物学 2012-07-20 Maxim S. Shkarayev , Ira B. Schwartz , Leah B. Shaw

Frequency estimation in data streams is one of the classical problems in streaming algorithms. Following much research, there are now almost matching upper and lower bounds for the trade-off needed between the number of samples and the…

计算复杂性 · 计算机科学 2023-01-16 Shachar Lovett , Jiapeng Zhang