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Many social and biological networks consist of communities - groups of nodes within which connections are dense, but between which connections are sparser. Recently, there has been considerable interest in designing algorithms for detecting…

Physics and Society · Physics 2009-11-11 Chunguang Li , Philip K. Maini

Most research concerning the influence of network structure on phenomena taking place on the network focus on relationships between global statistics of the network structure and characteristic properties of those phenomena, even though…

Social and Information Networks · Computer Science 2012-03-07 Tomoyuki Yuasa , Susumu Shirayama

A standard technique for understanding underlying dependency structures among a set of variables posits a shared conditional probability distribution for the variables measured on individuals within a group. This approach is often referred…

Machine Learning · Statistics 2014-05-13 Elham Azizi , James E. Galagan , Edoardo M. Airoldi

In many graphs such as social networks, nodes have associated attributes representing their behavior. Predicting node attributes in such graphs is an important problem with applications in many domains like recommendation systems, privacy…

Machine Learning · Computer Science 2021-02-23 Sarwan Ali , Muhammad Haroon Shakeel , Imdadullah Khan , Safiullah Faizullah , Muhammad Asad Khan

Many real-world networks known as attributed networks contain two types of information: topology information and node attributes. It is a challenging task on how to use these two types of information to explore structural regularities. In…

Physics and Society · Physics 2019-01-28 Zhenhai Chang , Caiyan Jia , Xianjun Yin , Yimei Zheng

We propose a link prediction algorithm that is based on spring-electrical models. The idea to study these models came from the fact that spring-electrical models have been successfully used for networks visualization. A good network…

Social and Information Networks · Computer Science 2019-06-12 Yana Kashinskaya , Egor Samosvat , Akmal Artikov

We study mixing patterns in networks, meaning the propensity for nodes of different kinds to connect to one another. The phenomenon of assortative mixing, whereby nodes prefer to connect to others that are similar to themselves, has been…

Social and Information Networks · Computer Science 2019-04-24 George T. Cantwell , M. E. J. Newman

The study of the sub-structure of complex networks is of major importance to relate topology and functionality. Many efforts have been devoted to the analysis of the modular structure of networks using the quality function known as…

Data Analysis, Statistics and Probability · Physics 2011-07-01 Belkacem Serrour , Alex Arenas , Sergio Gomez

Real-data networks often appear to have strong modularity, or network-of-networks structure, in which subgraphs of various size and consistency occur. Finding the respective subgraph structure is of great importance, in particular for…

Physics and Society · Physics 2008-09-29 Mitrovic Marija , Bosiljka Tadic

This paper investigates community detection by modularity maximisation on bipartite networks. In particular we are interested in how the operation of projection, using one node set of the bipartite network to infer connections between nodes…

Social and Information Networks · Computer Science 2020-05-20 Rudy Arthur

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 modularity of a network quantifies the extent, relative to a null model network, to which vertices cluster into community groups. We define a null model appropriate for bipartite networks, and use it to define a bipartite modularity.…

Data Analysis, Statistics and Probability · Physics 2007-12-12 Michael J. Barber

Network science plays an increasingly important role to model complex data in many scientific disciplines. One notable feature of network organization is community structure, which refers to clusters of tightly interconnected nodes. A…

Social and Information Networks · Computer Science 2016-03-18 Dimitri Van De Ville

A generalization of modularity, called block modularity, is defined. This is a quality function which evaluates a label assignment against an arbitrary block pattern. Therefore, unlike standard modularity or its variants, arbitrary network…

Physics and Society · Physics 2023-03-01 Rudy Arthur

The problem of link prediction has attracted considerable recent attention from various domains such as sociology, anthropology, information science, and computer sciences. A link prediction algorithm is proposed based on link similarity…

Social and Information Networks · Computer Science 2015-02-17 Maosheng Jiang , Yonxiang Chen , Ling Chen

In this paper, we propose a novel semi-parametric probabilistic model which considers interactions between different communities and can provide more information about the network topology besides correctly detecting communities. By using…

Physics and Society · Physics 2008-07-11 Wei Ren , Guiying Yan , Xiaoping Liao

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

Machine Learning · Computer Science 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

Network representations of systems from various scientific and societal domains are neither completely random nor fully regular, but instead appear to contain recurring structural building blocks. These features tend to be shared by…

Social and Information Networks · Computer Science 2016-10-20 Ian Barnett , Nishant Malik , Marieke L. Kuijjer , Peter J. Mucha , Jukka-Pekka Onnela

Our work is motivated by and illustrated with application of association networks in computational biology, specifically in the context of gene/protein regulatory networks. Association networks represent systems of interacting elements,…

Applications · Statistics 2012-05-01 Natallia Katenka , Eric D. Kolaczyk

Many researchers have hypothesised models which explain the evolution of the topology of a target network. The framework described in this paper gives the likelihood that the target network arose from the hypothesised model. This allows…

Applications · Statistics 2013-03-28 Richard G. Clegg , Raul Landa , Hamed Haddadi , M. Rio