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Inferring the network topology from the dynamics is a fundamental problem with wide applications in geology, biology and even counter-terrorism. Based on the propagation process, we present a simple method to uncover the network topology.…

Physics and Society · Physics 2013-11-21 An Zeng

The connectivity structure of graphs is typically related to the attributes of the nodes. In social networks for example, the probability of a friendship between two people depends on their attributes, such as their age, address, and…

Social and Information Networks · Computer Science 2020-02-06 Junning Deng , Bo Kang , Jefrey Lijffijt , Tijl De Bie

When actors in a social network interact, it usually means they have some general goal towards which they are collaborating. This could be a research collaboration in a company or a foursome planning a golf game. We call such groups…

Social and Information Networks · Computer Science 2015-02-17 Mark K. Goldberg , Mykola Hayvanovych , Malik Magdon-Ismail , William A. Wallace

Estimating causal effects under networked interference from observational data is a crucial yet challenging problem. Most existing methods mainly rely on the networked unconfoundedness assumption, which guarantees the identification of…

Machine Learning · Computer Science 2026-01-28 Weilin Chen , Ruichu Cai , Jie Qiao , Yuguang Yan , José Miguel Hernández-Lobato

Previous network models have imagined that connections change to promote structural balance, or to reflect hierarchies. We propose a model where agents adjust their connections to appear credible to an external observer. In particular, we…

Social and Information Networks · Computer Science 2019-06-05 Joel Nishimura , Oscar Goodloe

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

Physics and Society · Physics 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

The increasing availability of time --and space-- resolved data describing human activities and interactions gives insights into both static and dynamic properties of human behavior. In practice, nevertheless, real-world datasets can often…

Physics and Society · Physics 2013-11-27 Nicolas Tremblay , Alain Barrat , Cary Forest , Mark Nornberg , Jean-François Pinton , Pierre Borgnat

Studying the topology of so-called real networks, that is networks obtained from sociological or biological data for instance, has become a major field of interest in the last decade. One way to deal with it is to consider that networks are…

Applications · Statistics 2010-07-27 Etienne Birmele

The emergence of social networks and the definition of suitable generative models for synthetic yet realistic social graphs are widely studied problems in the literature. By not being tied to any real data, random graph models cannot…

Social and Information Networks · Computer Science 2023-02-16 Stefano Guarino , Enrico Mastrostefano , Massimo Bernaschi , Alessandro Celestini , Marco Cianfriglia , Davide Torre , Lena Zastrow

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

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

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

Much of applied network analysis concerns with studying the existing relationships between a set of agents; however, little focus has been given to the considerations of how to represent observed phenomena as a network object. In the case…

Social and Information Networks · Computer Science 2018-06-13 Sirui Wang , Mei Wang

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

We consider the problem of inferring the functional connectivity of a large-scale computer network from sparse time series of events emitted by its nodes. We do so under the following three domain-specific constraints: (a) non-stationarity…

Machine Learning · Computer Science 2018-02-13 Antoine Messager , George Parisis , Istvan Z Kiss , Robert Harper , Phil Tee , Luc Berthouze

With the advance of efficient analytical methods for sensitivity analysis ofprobabilistic networks, the interest in the sensitivities revealed by real-life networks is rekindled. As the amount of data resulting from a sensitivity analysis…

Artificial Intelligence · Computer Science 2013-01-14 Linda C. van der Gaag , Silja Renooij

We formalize the problem of detecting a community in a network into testing whether in a given (random) graph there is a subgraph that is unusually dense. We observe an undirected and unweighted graph on N nodes. Under the null hypothesis,…

Statistics Theory · Mathematics 2013-03-01 Ery Arias-Castro , Nicolas Verzelen

Complex networks contain various interactions among similar or different entities. These kinds of networks are called multi-relational networks, in which each layer corresponds to a special type of interaction. Multi-relational networks are…

Social and Information Networks · Computer Science 2021-04-02 Zahra Roozbahani , Hanif Emamgholizadeh , Jalal Rezaeenour , Mahshid Hajialikhani

Causal inference with observational data can be performed under an assumption of no unobserved confounders (unconfoundedness assumption). There is, however, seldom clear subject-matter or empirical evidence for such an assumption. We…

Methodology · Statistics 2023-11-13 Minna Genbäck , Xavier de Luna

One explanation for the impressive recent boom in network theory might be that it provides a promising tool for an understanding of complex systems. Network theory is mainly focusing on discrete large-scale topological structures rather…

Statistical Mechanics · Physics 2015-06-25 Stefan Thurner

Many real world systems or web services can be represented as a network such as social networks and transportation networks. In the past decade, many algorithms have been developed to detect the communities in a network using connections…

Social and Information Networks · Computer Science 2015-01-21 Zhi Liu , Yan Huang