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The stochastic block model (SBM) and degree-corrected block model (DCBM) are network models often selected as the fundamental setting in which to analyze the theoretical properties of community detection methods. We consider the problem of…

Statistics Theory · Mathematics 2023-06-19 Jonathan Hehir , Aleksandra Slavkovic , Xiaoyue Niu

We examine the assumption that the hidden-state vectors of recurrent neural networks (RNNs) tend to form clusters of semantically similar vectors, which we dub the clustering hypothesis. While this hypothesis has been assumed in the…

Machine Learning · Computer Science 2023-06-30 Edi Muškardin , Martin Tappler , Ingo Pill , Bernhard K. Aichernig , Thomas Pock

We study social networks and focus on covert (also known as hidden) networks, such as terrorist or criminal networks. Their structures, memberships and activities are illegal. Thus, data about covert networks is often incomplete and…

Social and Information Networks · Computer Science 2021-11-29 Amr Elsisy , Aamir Mandviwalla , Boleslaw Szymanski , Thomas Sharkey

Signed network structure discovery has received extensive attention and has become a research focus in the field of network science. However, most of the existing studies are focused on the networks with a single structure, e.g., community…

Social and Information Networks · Computer Science 2023-04-24 Yang Li , Bo Yang , Xuehua Zhao , Zhejian Yang , Hechang Chen

Community detection is an important content in complex network analysis. The existing community detection methods in attributed networks mostly focus on only using network structure, while the methods of integrating node attributes is…

Social and Information Networks · Computer Science 2023-09-01 Xiao Wang , Fang Dai , Wenyan Guo , Junfeng Wang

Community detection is an important task in network analysis, in which we aim to learn a network partition that groups together vertices with similar community-level connectivity patterns. By finding such groups of vertices with similar…

Machine Learning · Statistics 2015-05-25 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

Networks with node covariates offer two advantages to community detection methods, namely, (i) exploit covariates to improve the quality of communities, and more importantly, (ii) explain the discovered communities by identifying the…

Social and Information Networks · Computer Science 2021-04-07 Shubham Gupta , Gururaj K. , Ambedkar Dukkipati , Rui M. Castro

Community detection in directed networks is a central task in network analysis. Unlike undirected networks, directed networks encode inherently asymmetric relationships, giving rise to sender and receiver roles that may each follow distinct…

Methodology · Statistics 2025-08-21 Huan Qing

In this paper we prove the strong consistency of several methods based on the spectral clustering techniques that are widely used to study the community detection problem in stochastic block models (SBMs). We show that under some weak…

Methodology · Statistics 2019-05-16 Liangjun Su , Wuyi Wang , Yichong Zhang

Online social networks (OSNs) have become increasingly relevant for studying social behavior and information diffusion. Nevertheless, they are limited by restricted access to real OSN data due to privacy, legal, and platform-related…

Social and Information Networks · Computer Science 2025-09-04 Alejandro Buitrago López , Javier Pastor-Galindo , José A. Ruipérez-Valiente

Many real world networks consist of multiple types of nodes with edges that are heterogeneous in nature. However, most of the existing work for community detection only focused on homogeneous network consisting of a single layer. In this…

Methodology · Statistics 2017-09-19 Fan Yang , Fengshuo Zhang

Spectral clustering has been one of the widely used methods for community detection in networks. However, large-scale networks bring computational challenges to the eigenvalue decomposition therein. In this paper, we study the spectral…

Social and Information Networks · Computer Science 2022-01-07 Hai Zhang , Xiao Guo , Xiangyu Chang

Data-driven analysis of large social networks has attracted a great deal of research interest. In this paper, we investigate 120 real social networks and their measurement-calibrated synthetic counterparts generated by four well-known…

Social and Information Networks · Computer Science 2019-08-23 Marcell Nagy , Roland Molontay

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…

Methodology · Statistics 2024-04-09 Saint-Clair Chabert-Liddell , Pierre Barbillon , Sophie Donnet

In this paper, we focus on the stochastic block model (SBM),a probabilistic tool describing interactions between nodes of a network using latent clusters. The SBM assumes that the networkhas a stationary structure, in which connections of…

Machine Learning · Statistics 2015-09-09 Marco Corneli , Pierre Latouche , Fabrice Rossi

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…

Computation · Statistics 2024-11-04 Sheng Zhang , Rui Song , Wenbin Lu , 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…

Social and Information Networks · Computer Science 2019-04-11 Maoying Qiao , Jun Yu , Wei Bian , Qiang Li , Dacheng Tao

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

Real world complex networks often exhibit multiplex structure, connecting entities from different aspects of physical systems such as social, transportation and biological networks. Little is known about general properties of such networks…

Social and Information Networks · Computer Science 2019-11-28 Blaž Škrlj , Benjamin Renoust

We construct a novel class of stochastic blockmodels using Bayesian nonparametric mixtures. These model allows us to jointly estimate the structure of multiple networks and explicitly compare the community structures underlying them, while…

Methodology · Statistics 2016-06-17 Perla Reyes , Abel Rodriguez