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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…

社会与信息网络 · 计算机科学 2024-05-09 Huan Qing

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

In the model-based clustering of networks, blockmodelling may be used to identify roles in the network. We identify a special case of the Stochastic Block Model (SBM) where we constrain the cluster-cluster interactions such that the density…

统计计算 · 统计学 2012-10-30 Aaron F. McDaid , Brendan Thomas Murphy , Nial Friel , Neil J. Hurley

Let a collection of networks represent interactions within several (social or ecological) systems. We pursue two objectives: identifying similarities in the topological structures that are held in common between the networks and clustering…

统计方法学 · 统计学 2024-04-09 Saint-Clair Chabert-Liddell , Pierre Barbillon , Sophie Donnet

Networks are a commonly used mathematical model to describe the rich set of interactions between objects of interest. Many clustering methods have been developed in order to partition such structures, among which several rely on underlying…

统计方法学 · 统计学 2014-05-13 P. Latouche , E. Birmelé , C. Ambroise

The rise in complexity of network data in neuroscience, social networks, and protein-protein interaction networks has been accompanied by several efforts to model and understand these data at different scales. A key multiscale network…

统计方法学 · 统计学 2025-03-04 Al-Fahad Al-Qadhi , Keith Levin , Vincent Lyzinski

In network applications, it has become increasingly common to obtain datasets in the form of multiple networks observed on the same set of subjects, where each network is obtained in a related but different experiment condition or…

统计理论 · 数学 2022-05-23 Shuxiao Chen , Sifan Liu , Zongming Ma

Complex systems are characterized by multiple spatial and temporal scales. A natural framework to capture their multiscale nature is that of multilayer networks, where different layers represent distinct physical processes that often…

统计力学 · 物理学 2024-04-29 Giorgio Nicoletti , Daniel Maria Busiello

Discovering statistical structure from links is a fundamental problem in the analysis of social networks. Choosing a misspecified model, or equivalently, an incorrect inference algorithm will result in an invalid analysis or even falsely…

机器学习 · 计算机科学 2017-11-06 Cheng Li , Felix Wong , Zhenming Liu , Varun Kanade

Elements composing complex systems usually interact in several different ways and as such the interaction architecture is well modelled by a multiplex network. However often this architecture is hidden, as one usually only has experimental…

The structure of a bipartite interaction network can be described by providing a clustering for each of the two types of nodes. Such clusterings are outputted by fitting a Latent Block Model (LBM) on an observed network that comes from a…

统计方法学 · 统计学 2025-03-19 Emre Anakok , Pierre Barbillon , Colin Fontaine , Elisa Thebault

In this study we map out the large-scale structure of citation networks of science journals and follow their evolution in time by using stochastic block models (SBMs). The SBM fitting procedures are principled methods that can be used to…

物理与社会 · 物理学 2017-05-02 Darko Hric , Kimmo Kaski , Mikko Kivelä

We perform a systematic analysis of the quality of fit of the stochastic block model (SBM) for 275 empirical networks spanning a wide range of domains and orders of size magnitude. We employ posterior predictive model checking as a…

物理与社会 · 物理学 2022-06-01 Felipe Vaca-Ramírez , Tiago P. Peixoto

The study of complex networks has been historically based on simple graph data models representing relationships between individuals. However, often reality cannot be accurately captured by a flat graph model. This has led to the…

社会与信息网络 · 计算机科学 2013-03-21 Matteo Magnani , Barbora Micenkova , Luca Rossi

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

统计方法学 · 统计学 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

Stochastic block models (SBMs) have been playing an important role in modeling clusters or community structures of network data. But, it is incapable of handling several complex features ubiquitously exhibited in real-world networks, one of…

社会与信息网络 · 计算机科学 2019-04-11 Maoying Qiao , Jun Yu , Wei Bian , Qiang Li , Dacheng Tao

Complex systems in nature and in society are often represented as networks, describing the rich set of interactions between objects of interest. Many deterministic and probabilistic clustering methods have been developed to analyze such…

统计方法学 · 统计学 2015-03-13 Pierre Latouche , Etienne Birmelé , Christophe Ambroise

Finding communities in networks is a problem that remains difficult, in spite of the amount of attention it has recently received. The Stochastic Block-Model (SBM) is a generative model for graphs with "communities" for which, because of…

机器学习 · 统计学 2021-04-22 Yali Wan , Marina Meila

We investigate the widely encountered problem of detecting communities in multiplex networks, such as social networks, with an unknown arbitrary heterogeneous structure. To improve detectability, we propose a generative model that leverages…

社会与信息网络 · 计算机科学 2019-11-27 Yuming Huang , Ashkan Panahi , Hamid Krim , Liyi Dai

The article presents several approaches to the blockmodeling of multilevel network data. Multilevel network data consist of networks that are measured on at least two levels (e.g. between organizations and people) and information on ties…

统计方法学 · 统计学 2014-05-26 Aleš Žiberna