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Complex systems that consist of different kinds of entities that interact in different ways can be modeled by multilayer networks. This paper uses the tensor formalism with the Einstein tensor product to model this type of networks. Several…

Numerical Analysis · Mathematics 2023-08-03 Smahane El-Halouy , Silvia Noschese , Lothar Reichel

A community within a network is a group of vertices densely connected to each other but less connected to the vertices outside. The problem of detecting communities in large networks plays a key role in a wide range of research areas, e.g.…

Social and Information Networks · Computer Science 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Multiplex networks are generalized network structures that are able to describe networks in which the same set of nodes are connected by links that have different connotations. Multiplex networks are ubiquitous since they describe social,…

Physics and Society · Physics 2016-09-01 Jacopo Iacovacci , Ginestra Bianconi

Community detection in multi-layer networks has emerged as a crucial area of modern network analysis. However, conventional approaches often assume that nodes belong exclusively to a single community, which fails to capture the complex…

Social and Information Networks · Computer Science 2024-09-13 Huan Qing

Identifying influential nodes in a network is a fundamental issue due to its wide applications, such as accelerating information diffusion or halting virus spreading. Many measures based on the network topology have emerged over the years…

Social and Information Networks · Computer Science 2022-12-26 Zakariya Ghalmane , Mohammed El Hassouni , Chantal Cherifi , Hocine Cherifi

Knowledge graphs play a central role for linking different data which leads to multiple layers. Thus, they are widely used in big data integration, especially for connecting data from different domains. Few studies have investigated the…

Social and Information Networks · Computer Science 2022-03-18 Jens Dörpinghaus , Vera Weil , Carsten Düing , Martin W. Sommer

A layered neural network is now one of the most common choices for the prediction of high-dimensional practical data sets, where the relationship between input and output data is complex and cannot be represented well by simple conventional…

Machine Learning · Statistics 2018-04-16 Chihiro Watanabe , Kaoru Hiramatsu , Kunio Kashino

The problem of node-centric, or local, community detection in information networks refers to the identification of a community for a given input node, having limited information about the network topology. Existing methods for solving this…

Social and Information Networks · Computer Science 2017-04-12 Roberto Interdonato , Andrea Tagarelli , Dino Ienco , Arnaud Sallaberry , Pascal Poncelet

Social communities extraction and their dynamics are one of the most important problems in today's social network analysis. During last few years, many researchers have proposed their own methods for group discovery in social networks.…

Social and Information Networks · Computer Science 2012-09-27 Piotr Bródka , Tomasz Filipowski , Przemysław Kazienko

Many recent developments in network analysis have focused on multilayer networks, which one can use to encode time-dependent interactions, multiple types of interactions, and other complications that arise in complex systems. Like their…

Social and Information Networks · Computer Science 2021-01-04 A. Roxana Pamfil , Sam D. Howison , Mason A. Porter

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

Computation · Statistics 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

Heterogeneous networks play a key role in the evolution of communities and the decisions individuals make. These networks link different types of entities, for example, people and the events they attend. Network analysis algorithms usually…

Computers and Society · Computer Science 2016-11-17 Rumi Ghosh , Kristina Lerman

Multilayer networks allow for modeling complex relationships, where individuals are embedded in multiple social networks at the same time. Given the ubiquity of such relationships, these networks have been increasingly gaining attention in…

Social and Information Networks · Computer Science 2019-11-15 Marcin Waniek , Tomasz P. Michalak , Talal Rahwan

Real-world complex systems exhibit multiple levels of relationships. In many cases, they require to be modeled by interconnected multilayer networks, characterizing interactions on several levels simultaneously. It is of crucial importance…

Physics and Society · Physics 2015-04-24 Manlio De Domenico , Albert Solé-Ribalta , Elisa Omodei , Sergio Gómez , Alex Arenas

Centrality measures identify and rank the most influential entities of complex networks. In this paper, we generalize matrix function-based centrality measures, which have been studied extensively for single-layer and temporal networks in…

Physics and Society · Physics 2022-03-24 Kai Bergermann , Martin Stoll

Revealing underlying relations between nodes in a network is one of the most important tasks in network analysis. Using tools and techniques from a variety of disciplines, many community recovery methods have been developed for different…

Statistics Theory · Mathematics 2022-02-14 Kalle Alaluusua , Lasse Leskelä

We propose and analyse a general tensor-based framework for incorporating second order features into network measures. This approach allows us to combine traditional pairwise links with information that records whether triples of nodes are…

Social and Information Networks · Computer Science 2021-03-17 Francesca Arrigo , Desmond J. Higham , Francesco Tudisco

The problem of community detection in multi-layer undirected networks has received considerable attention in recent years. However, practical scenarios often involve multi-layer bipartite networks, where each layer consists of two distinct…

Social and Information Networks · Computer Science 2024-05-09 Huan Qing

We examine two-layer networks and centrality measures defined on them. We propose two fast and accurate algorithms to approximate the game-theoretic centrality measures and examine connection between centrality measures and characteristics…

Physics and Society · Physics 2025-10-30 Chi Zhao , Elena Parilina

Multiple-subject network data are fast emerging in recent years, where a separate connectivity matrix is measured over a common set of nodes for each individual subject, along with subject covariates information. In this article, we propose…

Methodology · Statistics 2021-03-23 Jingfei Zhang , Will Wei Sun , Lexin Li