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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

In this work we review a class of deterministic nonlinear models for the propagation of infectious diseases over contact networks with strongly-connected topologies. We consider network models for susceptible-infected (SI),…

Social and Information Networks · Computer Science 2017-01-13 Wenjun Mei , Shadi Mohagheghi , Sandro Zampieri , Francesco Bullo

We study an evolutionary version of the Prisoner's Dilemma game, played by agents placed in a small-world network. Agents are able to change their strategy, imitating that of the most successful neighbor. We observe that different…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Guillermo Abramson , Marcelo Kuperman

A key aspect of driving a road vehicle is to interact with other road users, assess their intentions and make risk-aware tactical decisions. An intuitive approach to enabling an intelligent automated driving system would be incorporating…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Videsh Suman , Phu Pham , Aniket Bera

The importance of modeling the spread of epidemics through a population has led to the development of mathematical models for infectious disease propagation. A number of empirical studies have collected and analyzed data on contacts between…

Social and Information Networks · Computer Science 2017-07-28 Rehan Ahmad , Kevin S. Xu

Sociotechnological and geospatial processes exhibit time varying structure that make insight discovery challenging. This paper proposes a new statistical model for such systems, modeled as dynamic networks, to address this challenge. It…

Social and Information Networks · Computer Science 2017-06-27 Jace Robinson , Derek Doran

Propagation of contagion in networks depends on the graph topology. This paper is concerned with studying the time-asymptotic behavior of the extended contact processes on static, undirected, finite-size networks. This is a contact process…

Physics and Society · Physics 2015-07-03 June Zhang , José M. F. Moura

This paper addresses the problem of online network topology inference for expanding graphs from a stream of spatiotemporal signals. Online algorithms for dynamic graph learning are crucial in delay-sensitive applications or when changes in…

Machine Learning · Computer Science 2024-09-16 Samuel Rey , Bishwadeep Das , Elvin Isufi

Deep neural networks have recently demonstrated the traffic prediction capability with the time series data obtained by sensors mounted on road segments. However, capturing spatio-temporal features of the traffic data often requires a…

Machine Learning · Computer Science 2019-02-19 Youngjoo Kim , Peng Wang , Lyudmila Mihaylova

The SIR model is used extensively in the field of epidemiology, in particular, for the analysis of communal diseases. One problem with SIR and other existing models is that they are tailored to random or Erdos type networks since they do…

Social and Information Networks · Computer Science 2014-10-22 M. S. S. Khan

In a complex system, the interactions between individual agents often lead to emergent collective behavior like spontaneous synchronization, swarming, and pattern formation. The topology of the network of interactions can have a dramatic…

Adaptation and Self-Organizing Systems · Physics 2022-07-25 Mark J Panaggio , Maria-Veronica Ciocanel , Lauren Lazarus , Chad M Topaz , Bin Xu

Social learning algorithms provide models for the formation of opinions over social networks resulting from local reasoning and peer-to-peer exchanges. Interactions occur over an underlying graph topology, which describes the flow of…

Signal Processing · Electrical Eng. & Systems 2023-03-15 Valentina Shumovskaia , Konstantinos Ntemos , Stefan Vlaski , Ali H. Sayed

Many models of virus propagation in Computer Networks inspired by {\bf SIS,SIR,}\\ {\bf SEIR}, etc. epidemic disease propagation mathematical models that can be found in the epidemiology field have been proposed in the last two decades. The…

Optimization and Control · Mathematics 2021-01-05 Carlos Rodriguez Lucatero

Many real-world objects can be modeled as a stream of events on the nodes of a graph. In this paper, we propose a class of graphical event models named temporal point process graphical models for representing the temporal dependencies among…

Methodology · Statistics 2021-10-25 Yalong Lyu , Huiyuan Wang , Wei Lin

Temporal-network models have provided key insights into how time-varying connectivity shapes dynamical processes such as spreading. Among them, the activity-driven model is a widely used, analytically tractable benchmark. Yet many temporal…

Physics and Society · Physics 2025-11-20 Zsófia Simon , Jari Saramäki

Modeling Internet growth is important both for understanding the current network and to predict and improve its future. To date, Internet models have typically attempted to explain a subset of the following characteristics: network…

Networking and Internet Architecture · Computer Science 2008-06-25 Petter Holme , Josh Karlin , Stephanie Forrest

In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by…

Dynamical Systems · Mathematics 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

We consider the problem of jointly estimating a collection of graphical models for discrete data, corresponding to several categories that share some common structure. An example for such a setting is voting records of legislators on…

Applications · Statistics 2015-09-17 Jian Guo , Jie Cheng , Elizaveta Levina , George Michailidis , Ji Zhu

Many real-world processes evolve in cascades over complex networks, whose topologies are often unobservable and change over time. However, the so-termed adoption times when blogs mention popular news items, individuals in a community catch…

Social and Information Networks · Computer Science 2013-09-30 Brian Baingana , Gonzalo Mateos , Georgios B. Giannakis

This article proposes methods to model nonstationary temporal graph processes. This corresponds to modelling the observation of edge variables (relationships between objects) indicating interactions between pairs of nodes (or objects)…

Methodology · Statistics 2022-07-07 Maria Suveges , Sofia C. Olhede
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