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We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the exponential. We consider a process of imperfect spreading, where…

Physics and Society · Physics 2016-07-07 Martin Gueuning , Jean-Charles Delvenne , Renaud Lambiotte

Biological systems (among others) may respond to a large variety of distinct external stimuli, or signals. These perturbations will generally be presented to the system not singly, but in various combinations, so that a proper understanding…

Quantitative Methods · Quantitative Biology 2011-06-24 Dennis Wylie

We introduce a general framework for leveraging graph stream data for temporal prediction-based applications. Our proposed framework includes novel methods for learning an appropriate graph time-series representation, modeling and weighting…

Machine Learning · Computer Science 2020-09-22 Di Jin , Sungchul Kim , Ryan A. Rossi , Danai Koutra

Network properties govern the rate and extent of spreading processes on networks, from simple contagions to complex cascades. Recent advances have extended the study of spreading processes from static networks to temporal networks, where…

Physics and Society · Physics 2019-11-05 Eun Lee , James Moody , Peter J. Mucha

Network science investigates the architecture of complex systems to understand their functional and dynamical properties. Structural patterns such as communities shape diffusive processes on networks. However, these results hold under the…

Physics and Society · Physics 2015-06-26 Jean-Charles Delvenne , Renaud Lambiotte , Luis E. C. Rocha

Empirical temporal networks display strong heterogeneities in their dynamics, which profoundly affect processes taking place on these networks, such as rumor and epidemic spreading. Despite the recent wealth of data on temporal networks,…

Physics and Society · Physics 2014-10-13 Christian L. Vestergaard , Mathieu Génois , Alain Barrat

Motivated by the growing number of mobile devices capable of connecting and exchanging messages, we propose a methodology aiming to model and analyze node mobility in networks. We note that many existing solutions in the literature rely on…

Networking and Internet Architecture · Computer Science 2021-11-12 Matheus F. C. Barros , Carlos H. G. Ferreira , Bruno Pereira dos Santos , Lourenço A. P. Júnior , Marco Mellia , Jussara M. Almeida

Time-varying community structures widely exist in various real-world networks. However, the spreading dynamics on this kind of network has not been fully studied. To this end, we systematically study the effects of time-varying community…

Physics and Society · Physics 2017-05-17 Mian-Xin Liu , Wei Wang , Ying Liu , Ming Tang , Shi-Min Cai , Hai-Feng Zhang

In the present work, a non-linear stochastic model is presented to study the effect of time variation of transmission rates on the co-evolution of epidemics and its corresponding awareness over a two layered multiplex network. In this…

Physics and Society · Physics 2021-12-08 Vikram Sagar , Yi Zhao , Abhijit Sen

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

Forecasting a particular variable can depend upon temporal or spatial scale. Temporal variations that indicate variations with time, reflect the stochasticity present in the variable. Spatial variation usually are dominant in climatology…

Signal Processing · Electrical Eng. & Systems 2020-09-07 Harsh S. Dhiman , Dipankar Deb

Tasks that require information about the world imply a trade-off between the time spent on observation and the variance of the response. In particular, fast decisions need to rely on uncertain information. However, standard estimates of…

Neurons and Cognition · Quantitative Biology 2023-07-18 Sahel Azizpour , Viola Priesemann , Johannes Zierenberg , Anna Levina

Impact of mobility will be increasingly important in future generation wireless services and the related challenges will need to be addressed. Sojourn time, the time duration that a mobile user stays within a cell, is a mobility-aware…

Information Theory · Computer Science 2020-01-08 Mohammad Salehi , Ekram Hossain

We derive a composite centrality measure for general weighted and directed complex networks, based on measure standardisation and invariant statistical inheritance schemes. Different schemes generate different intermediate abstract measures…

Methodology · Statistics 2014-01-21 Andreas Joseph , Guanrong Chen

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-06-28 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-03-02 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

Quantifying the structural and functional differences of temporal networks is a fundamental and challenging problem in the era of big data. This work proposes a temporal dissimilarity measure for temporal network comparison based on the…

Social and Information Networks · Computer Science 2021-11-03 Xiu-Xiu Zhan , Chuang Liu , Zhipeng Wang , Huijuang Wang , Petter Holme , Zi-Ke Zhang

Time-varying networks describe a wide array of systems whose constituents and interactions evolve over time. They are defined by an ordered stream of interactions between nodes, yet they are often represented in terms of a sequence of…

Statistical Mechanics · Physics 2013-10-23 Bruno Ribeiro , Nicola Perra , Andrea Baronchelli

Links in most real networks often change over time. Such temporality of links encodes the ordering and causality of interactions between nodes and has a profound effect on network dynamics and function. Empirical evidences have shown that…

Social and Information Networks · Computer Science 2020-07-10 Disheng Tang , Wenbo Du , Louis Shekhtman , Yijie Wang , Shlomo Havlin , Xianbin Cao , Gang Yan