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We present a probabilistic framework for overlapping community discovery and link prediction for relational data, given as a graph. The proposed framework has: (1) a deep architecture which enables us to infer multiple layers of latent…

Machine Learning · Statistics 2017-06-19 Changwei Hu , Piyush Rai , Lawrence Carin

Many social and biological systems are characterized by enduring hierarchies, including those organized around prestige in academia, dominance in animal groups, and desirability in online dating. Despite their ubiquity, the general…

Social and Information Networks · Computer Science 2022-04-27 Mari Kawakatsu , Philip S. Chodrow , Nicole Eikmeier , Daniel B. Larremore

Community structure appears to be an intrinsic property of many complex real-world networks. However, recent work shows that real-world networks reveal even more sophisticated modules than classical cohesive (link-density) communities. In…

Physics and Society · Physics 2012-02-07 Lovro Šubelj , Marko Bajec

We study the inference of a model of dynamic networks in which both communities and links keep memory of previous network states. By considering maximum likelihood inference from single snapshot observations of the network, we show that…

Social and Information Networks · Computer Science 2018-12-20 Paolo Barucca , Fabrizio Lillo , Piero Mazzarisi , Daniele Tantari

Spatial networks, in which nodes and edges are embedded in space, play a vital role in the study of complex systems. For example, many social networks attach geo-location information to each user, allowing the study of not only topological…

Social and Information Networks · Computer Science 2014-03-05 Nicholas D. Larusso , Brian E. Ruttenberg , Ambuj Singh

There has been great interest in recent years on statistical models for dynamic networks. In this paper, I propose a stochastic block transition model (SBTM) for dynamic networks that is inspired by the well-known stochastic block model…

Social and Information Networks · Computer Science 2016-07-11 Kevin S. Xu

Directed links -- representing asymmetric social ties or interactions (e.g., "follower-followee") -- arise naturally in many social networks and other complex networks, giving rise to directed graphs (or digraphs) as basic topological…

Social and Information Networks · Computer Science 2015-06-19 Bo Jiang , Zhi-Li Zhang , Don Towsley

Reciprocity in social networks helps understand information exchange between two individuals, and indicates interaction patterns between pairs of users. A recent study indicates the reciprocity coefficient of a classical directed…

Physics and Society · Physics 2022-01-12 Daniel Cirkovic , Tiandong Wang , Sidney Resnick

Detecting community structure in social networks is a fundamental problem empowering us to identify groups of actors with similar interests. There have been extensive works focusing on finding communities in static networks, however, in…

Social and Information Networks · Computer Science 2018-02-26 Saeed Haji Seyed Javadi , Pedram Gharani , Shahram Khadivi

The problem of predicting links in large networks is an important task in a variety of practical applications, including social sciences, biology and computer security. In this paper, statistical techniques for link prediction based on the…

Applications · Statistics 2021-09-01 Francesco Sanna Passino , Anna S. Bertiger , Joshua C. Neil , Nicholas A. Heard

Many real world, complex phenomena have underlying structures of evolving networks where nodes and links are added and removed over time. A central scientific challenge is the description and explanation of network dynamics, with a key test…

Physics and Society · Physics 2014-08-15 Catherine A. Bliss , Morgan R. Frank , Christopher M. Danforth , Peter Sheridan Dodds

Learning graph representations is a fundamental task aimed at capturing various properties of graphs in vector space. The most recent methods learn such representations for static networks. However, real world networks evolve over time and…

Social and Information Networks · Computer Science 2019-08-22 Palash Goyal , Sujit Rokka Chhetri , Arquimedes Canedo

The study of network data in the social and health sciences frequently concentrates on two distinct tasks (1) detecting community structures among nodes and (2) associating covariate information to edge formation. In much of this data, it…

Methodology · Statistics 2021-12-14 Heather Mathews , Alexander Volfovsky

Networks serve as a tool used to examine the large-scale connectivity patterns in complex systems. Modelling their generative mechanism nonparametrically is often based on step-functions, such as the stochastic block models. These models…

Methodology · Statistics 2024-01-11 Arthur Verdeyme , Sofia C. Olhede

Human communication, the essence of collective social phenomena ranging from small-scale organizations to worldwide online platforms, features intense reciprocal interactions between members in order to achieve stability, cohesion, and…

In the standard stochastic block model for networks, the probability of a connection between two nodes, often referred to as the edge probability, depends on the unobserved communities each of these nodes belongs to. We consider a flexible…

Econometrics · Economics 2024-02-27 Yuichi Kitamura , Louise Laage

The characterization of the "most connected" nodes in static or slowly evolving complex networks has helped in understanding and predicting the behavior of social, biological, and technological networked systems, including their robustness…

Physics and Society · Physics 2010-10-21 Scott A. Hill , Dan Braha

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

Stochastic models in which agents interact with their neighborhood according to a network topology are a powerful modeling framework to study the emergence of complex dynamic patterns in real-world systems. Stochastic simulations are often…

Social and Information Networks · Computer Science 2021-01-27 Gerrit Großmann , Luca Bortolussi , Verena Wolf

We propose a novel dynamic network model to capture evolving latent communities within temporal networks. To achieve this, we decompose each observed dynamic edge between vertices using a Poisson-gamma edge partition model, assigning each…

Social and Information Networks · Computer Science 2024-11-19 Xincan Yu , Sikun Yang