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A crucial challenge in network theory is the study of the robustness of a network after facing a sequence of failures. In this work, we propose a dynamical definition of network's robustness based on Information Theory, that considers…

Large cascades are a common occurrence in many natural and engineered complex systems. In this paper we explore the propagation of cascades across networks using realistic network topologies, such as heterogeneous degree distributions, as…

Adaptation and Self-Organizing Systems · Physics 2019-04-03 Malgorzata Turalska , Keith Burghardt , Martin Rohden , Ananthram Swami , Raissa M. D'Souza

Large but rare cascades triggered by small initial shocks are present in most of the infrastructure networks. Here we present a simple model for cascading failures based on the dynamical redistribution of the flow on the network. We show…

Other Condensed Matter · Physics 2009-11-10 Paolo Crucitti , Vito Latora , Massimo Marchiori

Critical infrastructure increasingly relies on interconnected cyber-physical systems whose security incidents can escalate rapidly into safety and operational failures. Existing decision-support approaches struggle to support real-time…

Cryptography and Security · Computer Science 2026-02-19 Shaofei Huang , Christopher M. Poskitt , Lwin Khin Shar

This works explores and illustrates recent results developed by the author in field of dynamical network analysis. The considered approach is blind, i.e., no a priori assumptions on the interconnected systems are available. Moreover, the…

Systems and Control · Computer Science 2015-03-19 Giacomo Innocenti

This paper proposes a flexible framework for inferring large-scale time-varying and time-lagged correlation networks from multivariate or high-dimensional non-stationary time series with piecewise smooth trends. Built on a novel and unified…

Methodology · Statistics 2023-02-13 Lujia Bai , Weichi Wu

Understanding how interdependence among systems affects cascading behaviors is increasingly important across many fields of science and engineering.Inspired by cascades of load shedding in coupled electric grids and other infrastructure, we…

Physics and Society · Physics 2012-03-27 Charles D. Brummitt , Raissa M. D'Souza , E. A. Leicht

The complex interconnections between heterogeneous critical infrastructure sectors make the system of systems (SoS) vulnerable to natural or human-made disasters and lead to cascading failures both within and across sectors. Hence, the…

Systems and Control · Computer Science 2018-09-10 Linan Huang , Juntao Chen , Quanyan Zhu

Engineered infrastructure systems pose inverse problems in which hidden states, unknown parameters, and subsystem couplings must be inferred from sparse and noisy measurements. These problems are difficult because physical subsystems are…

Systems and Control · Electrical Eng. & Systems 2026-05-28 Esmaeil Ghorbani , Jürgen Hackl

Modern world builds on the resilience of interdependent infrastructures characterized as complex networks. Recently, a framework for analysis of interdependent networks has been developed to explain the mechanism of resilience in…

Physics and Society · Physics 2015-06-16 Peng Zhang , Baisong Cheng , Zhuang Zhao , Daqing Li , Guangquan Lu , Yunpeng Wang , Jinghua Xiao

We develop methods to efficiently reconstruct the topology and line parameters of a power grid from the measurement of nodal variables. We propose two compressed sensing algorithms that minimize the amount of necessary measurement resources…

Systems and Control · Computer Science 2019-07-10 Farnaz Basiri , Jose Casadiego , Marc Timme , Dirk Witthaut

The critical infrastructures of the nation such as the power grid and the communication network are highly interdependent. Also, it has been observed that there exists complex interdependent relationships between individual entities of the…

Physics and Society · Physics 2017-02-20 Joydeep Banerjee , Arun Das , Arunabha Sen

Understanding and analyzing cascading failures in power grids have been the focus of many researchers for years. However, the complex interactions among the large number of components in these systems and their contributions to cascading…

Physics and Society · Physics 2020-06-15 Upama Nakarmi , Mahshid Rahnamay Naeini , Md Jakir Hossain , Md Abul Hasnat

We investigate interaction networks that we derive from multivariate time series with methods frequently employed in diverse scientific fields such as biology, quantitative finance, physics, earth and climate sciences, and the…

Data Analysis, Statistics and Probability · Physics 2012-01-10 Stephan Bialonski , Martin Wendler , Klaus Lehnertz

Complex systems are challenging to control because the system responds to the controller in a nonlinear fashion, often incorporating feedback mechanisms. Interdependence of systems poses additional difficulties, as cross-system connections…

Adaptation and Self-Organizing Systems · Physics 2020-04-07 Malgorzata Turalska , Ananthram Swami

We solve the problem of identifying (reconstructing) network topology from steady state network measurements. Concretely, given only a data matrix $\mathbf{X}$ where the $X_{ij}$ entry corresponds to flow in edge $i$ in configuration…

Machine Learning · Computer Science 2016-01-22 Aravind Rajeswaran , Shankar Narasimhan

Information spreads across social and technological networks, but often the network structures are hidden from us and we only observe the traces left by the diffusion processes, called cascades. Can we recover the hidden network structures…

Social and Information Networks · Computer Science 2014-05-14 Hadi Daneshmand , Manuel Gomez-Rodriguez , Le Song , Bernhard Schoelkopf

Recently, there has been increased interest in fusing multimodal imaging to better understand brain organization. Specifically, accounting for knowledge of anatomical pathways connecting brain regions should lead to desirable outcomes such…

Applications · Statistics 2018-03-02 Ixavier A. Higgins , Suprateek Kundu , Ying Guo

Attack graphs are commonly used to analyse the security of medium-sized to large networks. Based on a scan of the network and likelihood information of vulnerabilities, attack graphs can be transformed into Bayesian Attack Graphs (BAGs).…

Cryptography and Security · Computer Science 2021-03-18 Isaac Matthews , John Mace , Sadegh Soudjani , Aad van Moorsel

In this work, we explore the state-space formulation of a network process to recover, from partial observations, the underlying network topology that drives its dynamics. To do so, we employ subspace techniques borrowed from system…

Signal Processing · Electrical Eng. & Systems 2019-06-26 Mario Coutino , Elvin Isufi , Takanori Maehara , Geert Leus
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