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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

A canonical problem in graph mining is the detection of dense communities. This problem is exacerbated for a graph with a large order and size -- the number of vertices and edges -- as many community detection algorithms scale poorly. In…

Social and Information Networks · Computer Science 2015-02-17 Heng Wang , Da Zheng , Randal Burns , Carey Priebe

Traditionally, community detection in graphs can be solved using spectral methods or posterior inference under probabilistic graphical models. Focusing on random graph families such as the stochastic block model, recent research has unified…

Machine Learning · Statistics 2020-08-11 Zhengdao Chen , Xiang Li , Joan Bruna

We develop a method to infer community structure in directed networks where the groups are ordered in a latent one-dimensional hierarchy that determines the preferred edge direction. Our nonparametric Bayesian approach is based on a…

Social and Information Networks · Computer Science 2022-09-01 Tiago P. Peixoto

Community detection in multi-layer networks is a crucial problem in network analysis. In this paper, we analyze the performance of two spectral clustering algorithms for community detection within the framework of the multi-layer…

Social and Information Networks · Computer Science 2025-02-11 Huan Qing

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…

Statistics Theory · Mathematics 2022-05-23 Shuxiao Chen , Sifan Liu , Zongming Ma

Community detection in large social networks is affected by degree heterogeneity of nodes. The D-SCORE algorithm for directed networks was introduced to reduce this effect by taking the element-wise ratios of the singular vectors of the…

Machine Learning · Statistics 2021-06-01 Zhe Wang , Yingbin Liang , Pengsheng Ji

This paper proposes a novel scalable community-based neural framework for graph learning. The framework learns the graph topology through the task of community detection and link prediction by optimizing with our proposed joint SBM loss…

Social and Information Networks · Computer Science 2020-05-19 Zheng Chen , Xinli Yu , Yuan Ling , Xiaohua Hu

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…

Statistics Theory · Mathematics 2026-01-07 Marios Papamichalis , Regina Ruane

Identifying edge-dense communities that are also well-connected is an important aspect of understanding community structure. Prior work has shown that community detection methods can produce poorly connected communities, and some can even…

Social and Information Networks · Computer Science 2025-02-17 Minhyuk Park , Daniel Wang Feng , Siya Digra , The-Anh Vu-Le , Lahari Anne , George Chacko , Tandy Warnow

Community detection is the task of discovering groups of nodes sharing similar patterns within a network. With recent advancements in deep learning, methods utilizing graph representation learning and deep clustering have shown great…

Social and Information Networks · Computer Science 2022-11-14 E. Dmitriev , M. W. Chekol , S. Wang

As a fundamental structure in real-world networks, in addition to graph topology, communities can also be reflected by abundant node attributes. In attributed community detection, probabilistic generative models (PGMs) have become the…

Social and Information Networks · Computer Science 2022-05-31 Ren Ren , Jinliang Shao , Adrian N. Bishop , Wei Xing Zheng

Community identification in a network is an important problem in fields such as social science, neuroscience, and genetics. Over the past decade, stochastic block models (SBMs) have emerged as a popular statistical framework for this…

Statistics Theory · Mathematics 2018-10-02 Min Xu , Varun Jog , Po-Ling Loh

We study community detection in multiple networks with jointly correlated node attributes and edges. This setting arises naturally in applications such as social platforms, where a shared set of users may exhibit both correlated friendship…

Social and Information Networks · Computer Science 2025-07-24 Joonhyuk Yang , Hye Won Chung

Structured data in the form of networks are increasingly common in a number of fields, including the social sciences, biology, physics, computer science, and many others. A key task in network analysis is community detection, which…

Methodology · Statistics 2025-11-25 Martina Amongero , Pierpaolo De Blasi

The information-theoretic limits of community detection have been studied extensively for network models with high levels of symmetry or homogeneity. The contribution of this paper is to study a broader class of network models that allow…

Information Theory · Computer Science 2019-07-05 Galen Reeves , Vaishakhi Mayya , Alexander Volfovsky

In this paper we propose methodology for inference of binary-valued adjacency matrices from various measures of the strength of association between pairs of network nodes, or more generally pairs of variables. This strength of association…

Applications · Statistics 2016-05-16 Thomas E. Bartlett

The statistical inference of stochastic block models as emerged as a mathematicaly principled method for identifying communities inside networks. Its objective is to find the node partition and the block-to-block adjacency matrix of maximum…

Social and Information Networks · Computer Science 2020-12-17 Louis Duvivier , Rémy Cazabet , Céline Robardet

We develop a Bayesian hierarchical model to identify communities in networks for which we do not observe the edges directly, but instead observe a series of interdependent signals for each of the nodes. Fitting the model provides an…

Social and Information Networks · Computer Science 2020-02-12 Till Hoffmann , Leto Peel , Renaud Lambiotte , Nick S. Jones

Community detection is the problem of identifying community structure in graphs. Often the graph is modeled as a sample from the Stochastic Block Model, in which each vertex belongs to a community. The probability that two vertices are…

Probability · Mathematics 2021-11-12 Souvik Dhara , Julia Gaudio , Elchanan Mossel , Colin Sandon