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We study the problem of parameter estimation based on infection data from an epidemic outbreak on a graph. We assume that successive infections occur via contagion; i.e., transmissions can only spread across existing directed edges in the…

Statistics Theory · Mathematics 2018-06-15 Justin Khim , Po-Ling Loh

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

Graphs are widely used for describing systems made up of many interacting components and for understanding the structure of their interactions. Various statistical models exist, which describe this structure as the result of a combination…

Methodology · Statistics 2021-06-28 Louis Duvivier , Rémy Cazabet , Céline Robardet

For any initial correlated network after any kind of attack where either nodes or edges are removed, we obtain general expressions for the degree-degree probability matrix and degree distribution. We show that the proposed analytical…

Physics and Society · Physics 2013-02-18 Animesh Srivastava , Bivas Mitra , Niloy Ganguly , Fernando Peruani

There has been significant interest in the networking community on the impact of cascade effects on the diffusion of networking technology upgrades in the Internet. Thinking of the global Internet as a graph, where each node represents an…

Social and Information Networks · Computer Science 2015-03-20 Sharon Goldberg , Zhenming Liu

We study proliferation of an action in binary action network coordination games that are generalized to include global effects. This captures important aspects of proliferation of a particular action or narrative in online social networks,…

Theoretical Economics · Economics 2023-08-02 John Higgins , Tarun Sabarwal

Network cascade refers to diffusion processes in which outcome changes within part of an interconnected population trigger a sequence of changes across the entire network. These cascades are governed by underlying diffusion networks, which…

Social and Information Networks · Computer Science 2025-06-25 Yubai Yuan , Siyu Huang , Abdul Basit Adeel

Banking system crises are complex events that in a short span of time can inflict extensive damage to banks themselves and to the external economy. The crisis literature has so far identified a number of distinct effects or channels that…

General Finance · Quantitative Finance 2017-11-16 T. R. Hurd

Causal inference has traditionally focused on interventions at the unit level. In many applications, however, the central question concerns the causal effects of connections between units, such as transportation links, social relationships,…

Methodology · Statistics 2026-01-13 Shuli Chen , Jie Hu , Zhichao Jiang

This paper considers a model for cascades on random networks in which the cascade propagation at any node depends on the load at the failed neighbor, the degree of the neighbor as well as the load at that node. Each node in the network…

Physics and Society · Physics 2014-11-17 Srikanth K. Iyer , Rahul Vaze , Dheeraj Narasimha

Mapping the Internet generally consists in sampling the network from a limited set of sources by using "traceroute"-like probes. This methodology, akin to the merging of different spanning trees to a set of destinations, has been argued to…

Statistical Mechanics · Physics 2007-05-23 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

We study the family of network models derived by requiring the expected properties of a graph ensemble to match a given set of measurements of a real-world network, while maximizing the entropy of the ensemble. Models of this type play the…

Statistical Mechanics · Physics 2009-11-10 Juyong Park , M. E. J. Newman

A growing body of studies on systemic risk in financial markets has emphasized the key importance of taking into consideration the complex interconnections among financial institutions. Much effort has been put in modeling the contagion…

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal

In a cascading power transmission outage, component outages propagate non-locally, after one component outages, the next failure may be very distant, both topologically and geographically. As a result, simple models of topological contagion…

Physics and Society · Physics 2018-05-14 Paul D. H. Hines , Ian Dobson , Pooya Rezaei

The dynamic behaviour of stochastic spreading processes on a network model based on k-regular graphs is investigated. The contact process and the susceptible-infected-susceptible model for the spread of epidemics are considered as prototype…

Disordered Systems and Neural Networks · Physics 2008-10-08 S. V. Fallert , S. N. Taraskin

We propose generalizations of a number of standard network models, including the classic random graph, the configuration model, and the stochastic block model, to the case of time-varying networks. We assume that the presence and absence of…

Social and Information Networks · Computer Science 2018-05-02 Xiao Zhang , Cristopher Moore , M. E. J. Newman

Micro-structural models of contagion and systemic risk emphasize that shock propagation is inherently multi-channel, spanning counterparty exposures, short-term funding and roll-over risk, securities cross-holdings, and common-asset…

Statistical Finance · Quantitative Finance 2026-02-12 Ilias Aarab , Thomas Gottron , Andrea Colombo , Jörg Reddig , Annalauro Ianiro

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

In many cases of attacks or failures, memory effects play a significant role. Therefore, we present a model that not only considers the dependencies between nodes but also incorporates the memory effects of attacks. Our research…

Physics and Society · Physics 2023-06-21 Yanpeng Zhu , Lei Chen , Fanyuan Meng , Chun-Xiao Jia , Run-Ran Liu
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