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Interconnected networks describe the dynamics of important systems in a wide range such as biological systems and electrical power grids. Some important features of these systems were successfully studied and understood through simplified…

Systems and Control · Computer Science 2016-03-18 Thanh Long Vu , Konstantin Turitsyn

Multilayer networks have been widely used to represent and analyze systems of interconnected entities where both the entities and their connections can be of different types. However, real multilayer networks can be difficult to analyze…

Social and Information Networks · Computer Science 2020-05-01 Roberto Interdonato , Matteo Magnani , Diego Perna , Andrea Tagarelli , Davide Vega

Networks and network computations have become a primary mathematical tool for analyzing the structure of many kinds of complex systems, ranging from the Internet and transportation networks to biochemical interactions and social networks. A…

Social and Information Networks · Computer Science 2023-07-11 M. E. J. Newman

We study a class of dynamical networks modeled by linear and time-invariant systems which are described by state-space realizations. For these networks, we investigate the relations between various types of factorizations which preserve the…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Şerban Sabău , Andrei Sperilă , Cristian Oară , Ali Jadbabaie

We develop a structural default model for interconnected financial institutions in a probabilistic framework. For all possible network structures we characterize the joint default distribution of the system using Bayesian network…

Risk Management · Quantitative Finance 2018-07-02 Carsten Chong , Claudia Klüppelberg

Statistical analysis on networks has received growing attention due to demand from various emerging applications. In dynamic networks, one of the key interests is to model the event history of time-stamped interactions amongst nodes. We…

Methodology · Statistics 2018-10-09 Tony Sit , Zhiliang Ying , Yi Yu

When dealing with spreading processes on networks it can be of the utmost importance to test the reliability of data and identify potential unobserved spreading paths. In this paper we address these problems and propose methods for hidden…

Physics and Society · Physics 2021-08-18 Łukasz G. Gajewski , Jan Chołoniewski , Mateusz Wilinski

A circuit architecture is proposed and implemented for a dynamical network composed of a type of hybrid chaotic oscillator based on Unstable Dissipative Systems (UDS). The circuit architecture allows selecting a network topology with its…

Many concurrent and distributed systems are safety-critical and therefore have to provide a high degree of assurance. Important properties of such systems are frequently proved on the specification level, but implementations typically…

Logic in Computer Science · Computer Science 2023-08-22 Wolfgang Jeltsch , Javier Díaz

Networks are complex models for underlying data in many application domains. In most instances, raw data is not natively in the form of a network, but derived from sensors, logs, images, or other data. Yet, the impact of the various choices…

Social and Information Networks · Computer Science 2020-04-07 Ivan Brugere , Tanya Y. Berger-Wolf

This chapter introduces statistical methods used in the analysis of social networks and in the rapidly evolving parallel-field of network science. Although several instances of social network analysis in health services research have…

Physics and Society · Physics 2014-04-02 A. James O'Malley , Jukka-Pekka Onnela

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

Large, complex networks are ubiquitous in nature and society, and there is great interest in developing rigorous, scalable methods for identifying and characterizing their vulnerabilities. This paper presents an approach for analyzing the…

Dynamical Systems · Mathematics 2010-12-30 Richard Colbaugh , Kristin Glass

This paper presents a statistically sound method for using likelihood to assess potential models of network evolution. The method is tested on data from five real networks. Data from the internet autonomous system network, from two photo…

Social and Information Networks · Computer Science 2013-03-28 R. G. Clegg , R. Landa , U. Harder , M. Rio

Network embedding assigns nodes in a network to low-dimensional representations and effectively preserves the network structure. Recently, a significant amount of progresses have been made toward this emerging network analysis paradigm. In…

Social and Information Networks · Computer Science 2017-11-27 Peng Cui , Xiao Wang , Jian Pei , Wenwu Zhu

Our society nowadays is governed by complex networks, examples being the power grids, telecommunication networks, biological networks, and social networks. It has become of paramount importance to understand and characterize the dynamic…

The concept of structured occurrence nets is an extension of that of occurrence nets which are directed acyclic graphs that represent causality and concurrency information concerning a single execution of a distributed system. The formalism…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Mohammed Alahmadi , Salma Alharbi , Talal Alharbi , Nadiyah Almutairi , Tuwailaa Alshammari , Anirban Bhattacharyya , Maciej Koutny , Bowen Li , Brian Randell

Interconnected complex systems usually undergo disruptions due to internal uncertainties and external negative impacts such as those caused by harsh operating environments or regional natural disaster events. To maintain the operation of…

Machine Learning · Computer Science 2022-07-05 Jiaxin Wu , Pingfeng Wang

This note investigates the stability of both linear and nonlinear switched systems with average dwell time. Two new analysis methods are proposed. Different from existing approaches, the proposed methods take into account the sequence in…

Systems and Control · Computer Science 2018-11-06 Dianhao Zheng , Hongbin Zhang , J. Andrew Zhang , Steven W. Su

Due to the increasing complexity of distributed systems, security testing is becoming increasingly critical in insuring reliability of such systems in relation to their security requirements. . To challenge this issue, we rely in this…

Cryptography and Security · Computer Science 2014-10-22 Mohamed H. E. Aouadi , Khalifa Toumi , Ana Cavalli