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With great theoretical and practical significance, identifying the node spreading influence of complex network is one of the most promising domains. So far, various topology-based centrality measures have been proposed to identify the node…

Physics and Society · Physics 2014-08-27 Jian-Hong Lin , Jian-Guo Liu , Qiang Guo

Self-adaptive dynamics occurs in many physical systems such as socio-economics, neuroscience, or biophysics. We formalize a self-adaptive modeling approach, where adaptation takes place within a set of strategies based on the history of the…

Adaptation and Self-Organizing Systems · Physics 2022-04-01 Konstantin Clauß , Christian Kuehn

Information spreading has been studied for decades, but its underlying mechanism is still under debate, especially for those ones spreading extremely fast through Internet. By focusing on the information spreading data of six typical events…

Physics and Society · Physics 2018-05-08 Jiao Wu , Muhua Zheng , Zi-Ke Zhang , Wei Wang , Changgui Gu , Zonghua Liu

The recent COVID-19 pandemic has promoted vigorous scientific activity in an effort to understand, advice and control the pandemic. Data is now freely available at a staggering rate worldwide. Unfortunately, this unprecedented level of…

Applications · Statistics 2024-01-31 Yuansan Liu , Saransh Srivastava , Zuo Huang , Felisa J. Vázquez-Abad

The heterogeneity of the influence processes is an important feature of social systems: how we perceive social influence and how we influence other individuals is heavily influenced by our opinion and non-opinion attributes. The latter…

Social and Information Networks · Computer Science 2022-09-07 Ivan V. Kozitsin

High-dimensional financial time series often exhibit complex dependence relations driven by both common market structures and latent connections among assets. To capture these characteristics, this paper proposes Factor-Driven Network…

Methodology · Statistics 2025-11-27 Brendan Martin , Mihai Cucuringu , Alessandra Luati , Francesco Sanna Passino

Epidemiological models are the mathematical models that capture the dynamics of epidemics. The spread of the virus has two routes - exogenous and endogenous. The exogenous spread is from outside the population under study, and endogenous…

Social and Information Networks · Computer Science 2020-09-22 Nirmal Kumar Sivaraman , Manas Gaur , Shivansh Baijal , Ch V Radha Sai Rupesh , Sakthi Balan Muthiah , Amit Sheth

During pandemic events, strategies such as social distancing can be fundamental to curb viral spreading. Such actions can reduce the number of simultaneous infections and mitigate the disease spreading, which is relevant to the risk of a…

Physics and Society · Physics 2021-02-24 Marco A. Amaral , Marcelo M. de Oliveira , Marco A. Javarone

The growing literature on the propagation of COVID-19 relies on various dynamic SIR-type models (Susceptible-Infected-Recovered) which yield model-dependent results. For transparency and ease of comparing the results, we introduce a common…

Populations and Evolution · Quantitative Biology 2020-06-19 Christian Gourieroux , Joann Jasiak

Shifts in individual movement patterns following disruptive events can reveal changing demands for community resources. However, predicting such shifts before disruptive events remains challenging for several reasons. First, measures are…

Artificial Intelligence · Computer Science 2025-10-29 Shangde Gao , Zelin Xu , Zhe Jiang

The SIR model is a three-compartment model of the time development of an epidemic. After normalizing the dependent variables, the model is a system of two non-linear differential equations for the susceptible proportion $S$ and the infected…

Dynamical Systems · Mathematics 2021-04-27 William G. Faris

The SIR-compartment model is among the simplest models that describe the spread of a disease through a population. The model makes the unrealistic assumption that the population through which the disease is spreading is well-mixed. Although…

Populations and Evolution · Quantitative Biology 2022-11-16 Ryan Wilkinson , Marcus Roper

Influential nodes play a critical role in boosting or curbing spreading phenomena in complex networks. Numerous centrality measures have been proposed for identifying and ranking the nodes according to their importance. Classical centrality…

Social and Information Networks · Computer Science 2022-05-17 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

We consider a causal inference model in which individuals interact in a social network and they may not comply with the assigned treatments. In particular, we suppose that the form of network interference is unknown to researchers. To…

Methodology · Statistics 2023-10-24 Tadao Hoshino , Takahide Yanagi

Causal inference identifies cause-and-effect relationships between variables. While traditional approaches rely on data to reveal causal links, a recently developed method, assimilative causal inference (ACI), integrates observations with…

Machine Learning · Statistics 2025-10-28 Marios Andreou , Nan Chen

We study the dynamics of matrix-valued time series with observed network structures by proposing a matrix network autoregression model with row and column networks of the subjects. We incorporate covariate information and a low rank…

Methodology · Statistics 2023-02-07 Xuening Zhu , Feifei Wang , Zeng Li , Yanyuan Ma

Transmission rates in epidemic outbreaks may vary over time depending on the societal response. Non-pharmacological mitigation strategies such as social distancing and the adoption of protective equipment aim precisely at reducing…

Populations and Evolution · Quantitative Biology 2020-12-24 Elisa Franco

Interpersonal influence estimation from empirical data is a central challenge in the study of social structures and dynamics. Opinion dynamics theory is a young interdisciplinary science that studies opinion formation in social networks and…

Systems and Control · Electrical Eng. & Systems 2020-07-27 Chiara Ravazzi , Fabrizio Dabbene , Constantino Lagoa , Anton V. Proskurnikov

Components connected over a network influence each other and interact in various ways. Examples of such systems are networks of computing nodes, which the nodes interact by exchanging workload, for instance, for load balancing purposes. In…

Numerical Analysis · Mathematics 2020-06-30 Ehsan Siavashi , Mahshid Rahnamay-Naeini

We consider the diffusion of new products in the discrete Bass-SIR model, in which consumers who adopt the product can later "recover" and stop influencing their peers to adopt the product. To gain insight into the effect of the social…

Physics and Society · Physics 2017-05-22 Gadi Fibich