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In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

Statistical Mechanics · Physics 2008-03-14 Aram Galstyan , Paul Cohen

In network science complex systems are represented as a mathematical graphs consisting of a set of nodes representing the components and a set of edges representing their interactions. The framework of networks has led to significant…

Physics and Society · Physics 2022-04-07 Alexandre Bovet , Hernán A. Makse

In the context of survival analysis, data-driven neural network-based methods have been developed to model complex covariate effects. While these methods may provide better predictive performance than regression-based approaches, not all…

Machine Learning · Statistics 2024-04-23 Jesse Islam , Maxime Turgeon , Robert Sladek , Sahir Bhatnagar

In the last decade, there has been a growing body of literature addressing the utilization of complex network methods for the characterization of dynamical systems based on time series. While both nonlinear time series analysis and complex…

Data Analysis, Statistics and Probability · Physics 2025-02-03 Yong Zou , Reik V. Donner , Norbert Marwan , Jonathan F. Donges , Jürgen Kurths

We present a generative model for representing and reasoning about the relationships among events in continuous time. We apply the model to the domain of networked and distributed computing environments where we fit the parameters of the…

Artificial Intelligence · Computer Science 2012-06-18 Aleksandr Simma , Moises Goldszmidt , John MacCormick , Paul Barham , Richard Black , Rebecca Isaacs , Richard Mortier

In network systems, a local perturbation can amplify as it propagates, potentially leading to a large-scale cascading failure. Here we derive a continuous model to advance our understanding of cascading failures in power-grid networks. The…

Physics and Society · Physics 2017-12-18 Yang Yang , Adilson E. Motter

Coastal compound floods (CCFs) are triggered by the interaction of multiple mechanisms, such as storm surges, storm rainfall, tides, and river flow. These events can bring significant damage to communities, and there is an increasing demand…

Atmospheric and Oceanic Physics · Physics 2025-10-20 Ziyue Liu , Meredith L. Carr , Norberto C. Nadal-Caraballo , Luke A. Aucoin , Madison C. Yawn , Michelle T. Bensi

Complex systems display emergent phenomena that vary significantly across spatial and temporal scales. These variations originate from fine-grained system processes, yet arriving at macroscopic dynamics from micro-level data -- particularly…

Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior while others behave erratically. Predicting the emergence of these clusters and understanding the…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Rodrigo M. Corder , Zheng Bian , Tiago Pereira , Antonio Montalban

Complex contagion models have been developed to understand a wide range of social phenomena such as adoption of cultural fads, the diffusion of belief, norms, and innovations in social networks, and the rise of collective action to join a…

Physics and Society · Physics 2018-07-04 Yong Zhuang , Osman Yağan

Small disturbances can trigger functional breakdowns in complex systems. A challenging task is to infer the structural cause of a disturbance in a networked system, soon enough to prevent a catastrophe. We present a graph neural network…

Physics and Society · Physics 2020-06-11 Edward Laurence , Charles Murphy , Guillaume St-Onge , Xavier Roy-Pomerleau , Vincent Thibeault

Statistical methods for reconstructing networks from repeated measurements typically assume that all measurements are generated from the same underlying network structure. This need not be the case, however. People's social networks might…

Social and Information Networks · Computer Science 2022-01-25 Jean-Gabriel Young , Alec Kirkley , M. E. J. Newman

Multivariate Hawkes process provides a powerful framework for modeling temporal dependencies and event-driven interactions in complex systems. While existing methods primarily focus on uncovering causal structures among observed…

Machine Learning · Computer Science 2026-03-03 Songyao Jin , Biwei Huang

Cascading failure is a potentially devastating process that spreads on real-world complex networks and can impact the integrity of wide-ranging infrastructures, natural systems, and societal cohesiveness. One of the essential features that…

Contagion processes have been proven to fundamentally depend on the structural properties of the interaction networks conveying them. Many real networked systems are characterized by clustered substructures representing either collections…

Physics and Society · Physics 2021-06-01 Giulio Burgio , Alex Arenas , Sergio Gómez , Joan T. Matamalas

The long duration of the COVID-19 pandemic allowed for multiple bursts in the infection and death rates, the so-called epidemic waves. This complex behavior is no longer tractable by simple compartmental model and requires more…

Cascades are ubiquitous in various network environments. How to predict these cascades is highly nontrivial in several vital applications, such as viral marketing, epidemic prevention and traffic management. Most previous works mainly focus…

Social and Information Networks · Computer Science 2015-05-28 Linyun Yu , Peng Cui , Fei Wang , Chaoming Song , Shiqiang Yang

We introduce a general framework for models of cascade and contagion processes on networks, to identify their commonalities and differences. In particular, models of social and financial cascades, as well as the fiber bundle model, the…

Risk Management · Quantitative Finance 2015-05-13 Jan Lorenz , Stefano Battiston , Frank Schweitzer

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

We present here two promising techniques for the application of the complex network approach to continuous spatio-temporal systems that have been developed in the last decade and show large potential for future application and development…

Data Analysis, Statistics and Probability · Physics 2015-07-19 Norbert Marwan , Jürgen Kurths