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Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

物理与社会 · 物理学 2009-07-31 Andrea Lancichinetti , Santo Fortunato

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

物理与社会 · 物理学 2015-12-03 Snehal M. Shekatkar , G. Ambika

Characterizing large-scale organization in networks, including multilayer networks, is one of the most prominent topics in network science and is important for many applications. One type of mesoscale feature is community structure, in…

社会与信息网络 · 计算机科学 2018-12-10 A. Roxana Pamfil , Sam D. Howison , Renaud Lambiotte , Mason A. Porter

Community detection seeks to recover mesoscopic structure from network data that may be binary, count-valued, signed, directed, weighted, or multilayer. The stochastic block model (SBM) explains such structure by positing a latent partition…

统计理论 · 数学 2026-01-07 Marios Papamichalis , Regina Ruane

The study of connectivity and coordination has drawn increasing attention in recent decades due to their central role in driving markets, shaping societal dynamics, and influencing biological systems. Traditionally, observable connections,…

社会与信息网络 · 计算机科学 2025-04-04 Shahar Somin , Tom Cohen , Jeremy Kepner , Alex Pentland

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

统计力学 · 物理学 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

In network science, a group of nodes connected with each other at higher probability than with those outside the group is referred to as a community. From the perspective that individual communities are associated with functional modules…

物理与社会 · 物理学 2019-12-10 Hiroshi Okamoto , Xu-le Qiu

Understanding both global and layer-specific group structures is useful for uncovering complex patterns in networks with multiple interaction types. In this work, we introduce a new model, the hierarchical multiplex stochastic blockmodel…

The bipartite network appears in various areas, such as biology, sociology, physiology, and computer science. \cite{rohe2016co} proposed Stochastic co-Blockmodel (ScBM) as a tool for detecting community structure of binary bipartite graph…

机器学习 · 统计学 2023-05-31 Huan Qing , Jingli Wang

Communities are a common and widely studied structure in networks, typically under the assumption that the network is fully and correctly observed. In practice, network data are often collected by querying nodes about their connections. In…

统计方法学 · 统计学 2021-03-22 Tianxi Li , Elizaveta Levina , Ji Zhu

Community detection for large networks poses challenges due to the high computational cost as well as heterogeneous community structures. In this paper, we consider widely existing real-world networks with ``grouped communities'' (or ``the…

统计计算 · 统计学 2024-11-04 Sheng Zhang , Rui Song , Wenbin Lu , Ji Zhu

Community detection in multilayer networks, which aims to identify groups of nodes exhibiting similar connectivity patterns across multiple network layers, has attracted considerable attention in recent years. Most existing methods are…

统计方法学 · 统计学 2026-01-26 Dapeng Shi , Haoran Zhang , Tiandong Wang , Junhui Wang

Most complex systems can be captured by graphs or networks. Networks connect nodes (e.g.\ neurons) through edges (synapses), thus summarizing the system's structure. A popular way of interrogating graphs is community detection, which…

物理与社会 · 物理学 2024-09-23 Luis F Seoane

Community structures detection in complex network is important for understanding not only the topological structures of the network, but also the functions of it. Stochastic block model and nonnegative matrix factorization are two widely…

社会与信息网络 · 计算机科学 2017-07-11 Zhong-Yuan Zhang , Yujie Gai , Yu-Fei Wang , Hui-Min Cheng , Xin Liu

In bipartite networks, community structures are restricted to being disassortative, in that nodes of one type are grouped according to common patterns of connection with nodes of the other type. This makes the stochastic block model (SBM),…

物理与社会 · 物理学 2020-09-30 Tzu-Chi Yen , Daniel B. Larremore

We propose a robust, scalable, integrated methodology for community detection and community comparison in graphs. In our procedure, we first embed a graph into an appropriate Euclidean space to obtain a low-dimensional representation, and…

机器学习 · 统计学 2016-08-29 Vince Lyzinski , Minh Tang , Avanti Athreya , Youngser Park , Carey E. Priebe

In social networks, the discovery of community structures has received considerable attention as a fundamental problem in various network analysis tasks. However, due to privacy concerns or access restrictions, the network structure is…

社会与信息网络 · 计算机科学 2025-05-07 Yu Hou , Cong Tran , Ming Li , Won-Yong Shin

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

社会与信息网络 · 计算机科学 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco

Community structure is one of the key properties of complex networks and plays a crucial role in their topology and function. While an impressive amount of work has been done on the issue of community detection, very little attention has…

物理与社会 · 物理学 2010-09-17 Andrea Lancichinetti , Mikko Kivela , Jari Saramaki , Santo Fortunato

Complex networks constitute the backbones of many complex systems such as social networks. Detecting the community structure in a complex network is both a challenging and a computationally expensive task. In this paper, we present the…

社会与信息网络 · 计算机科学 2017-07-11 Eduar Castrillo , Elizabeth León , Jonatan Gómez