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Under network interference, the treatment given to one unit may also affect the outcomes of its neighboring units in an exposure graph. Existing large-sample theory has focused on settings where either the exposure graph is sparse, or the…

Statistics Theory · Mathematics 2026-03-27 Bryan Park , Stefan Wager

We study the effect of the network topology to propagation phenomena on networks in this article. We do not assume any propagation model such as the contact process or SIR model\cite{Ker} because the study is only the consideratons of the…

Mathematical Physics · Physics 2014-12-15 Norihito Toyota , Tomoharu Sakamoto , Fumiho Ogura

Topological aspects, like community structure, and temporal activity patterns, like burstiness, have been shown to severly influence the speed of spreading in temporal networks. We study the influence of the topology on the…

Social and Information Networks · Computer Science 2018-12-05 Alexey N. Medvedev , Janos Kertesz

Knowing which nodes are influential in a complex network and whether the network can be influenced by a small subset of nodes is a key part of network analysis. However, many traditional measures of importance focus on node level…

Physics and Society · Physics 2023-06-27 Niall Rodgers , Peter Tino , Samuel Johnson

Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

Social and Information Networks · Computer Science 2019-01-07 Gerrit Großmann , Verena Wolf

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

Traditionally, statistical and causal inference on human subjects rely on the assumption that individuals are independently affected by treatments or exposures. However, recently there has been increasing interest in settings, such as…

Methodology · Statistics 2020-02-25 Elizabeth L. Ogburn , Ilya Shpitser , Youjin Lee

Causal inference on a population of units connected through a network often presents technical challenges, including how to account for interference. In the presence of local interference, for instance, potential outcomes of a unit depend…

Methodology · Statistics 2018-04-02 Laura Forastiere , Edoardo M. Airoldi , Fabrizia Mealli

The compartmental models used to study epidemic spreading often assume the same susceptibility for all individuals, and are therefore, agnostic about the effects that differences in susceptibility can have on epidemic spreading. Here we…

Physics and Society · Physics 2014-03-12 Daniel Smilkov , Cesar A. Hidalgo , Ljupco Kocarev

Precision medicine has received attention both in and outside the clinic. We focus on the latter, by exploiting the relationship between individuals' social interactions and their mental health to develop a predictive model of one's…

Social and Information Networks · Computer Science 2019-08-08 Shikang Liu , David Hachen , Omar Lizardo , Christian Poellabauer , Aaron Striegel , Tijana Milenkovic

Being motivated by recent developments in the theory of complex networks, we examine the robustness of communication networks under intentional attack that takes down network nodes in a decreasing order of their nodal degrees. In this…

Networking and Internet Architecture · Computer Science 2007-05-23 Shi Xiao , Gaoxi Xiao

In this paper, I study epidemic diffusion in a generalized spatial SEIRD model, where individuals are initially connected in a social or geographical network. As the virus spreads in the network, the structure of interactions between people…

Physics and Society · Physics 2020-10-23 Giorgio Fagiolo

There is strong interest in estimating how the magnitude of treatment effects of an intervention vary across sub-groups of the population of interest. In our paper, we propose a two-study approach to first propose and then test…

Methodology · Statistics 2020-06-23 Rahul Ladhania , Amelia Haviland , Neeraj Sood , Edward Kennedy , Ateev Mehrotra

Comparing two population means of network data is of paramount importance in a wide range of scientific applications. Many existing network inference solutions focus on global testing of entire networks, without comparing individual network…

Methodology · Statistics 2019-10-10 Yin Xia , Lexin Li

In experiments that study social phenomena, such as peer influence or herd immunity, the treatment of one unit may influence the outcomes of others. Such "interference between units" violates traditional approaches for causal inference, so…

Methodology · Statistics 2023-08-30 David Choi

Recently, motivated by the pioneer works that reveal the small-world effect and scale-free property of various real-life networks, many scientists devote themselves into studying complex networks. One of the ultimate goals is to understand…

Physics and Society · Physics 2007-05-23 Tao Zhou , Zhong-Qian Fu , Bing-Hong Wang

Online social networking technologies enable individuals to simultaneously share information with any number of peers. Quantifying the causal effect of these technologies on the dissemination of information requires not only identification…

Social and Information Networks · Computer Science 2012-02-29 Eytan Bakshy , Itamar Rosenn , Cameron Marlow , Lada Adamic

Social network structures play an important role in the lives of animals by affecting individual fitness and the spread of disease and information. Nevertheless, we still lack a good understanding of how these structures emerge from the…

Physics and Society · Physics 2026-02-16 Josefine Bohr Brask , Andreas Koher , Darren P. Croft , Sune Lehmann

In recent years networks have gained unprecedented attention in studying a broad range of topics, among them in complex systems research. In particular, multi-agent systems have seen an increased recognition of the importance of the…

Physics and Society · Physics 2007-05-23 László Gulyás , Elenna R. Dugundji

Understanding the behaviors of information propagation is essential for the effective exploitation of social influence in social networks. However, few existing influence models are both tractable and efficient for describing the…

Social and Information Networks · Computer Science 2012-09-11 Biao Xiang , Enhong Chen , Qi Liu , Hui Xiong