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An efficient MCMC algorithm is presented to cluster the nodes of a network such that nodes with similar role in the network are clustered together. This is known as block-modelling or block-clustering. The model is the stochastic blockmodel…

Computation · Statistics 2012-11-09 Aaron F. McDaid , Thomas Brendan Murphy , Nial Friel , Neil J Hurley

Real networks exhibit nontrivial topological features such as heavy-tailed degree distribution, high clustering, and small-worldness. Researchers have developed several generative models for synthesizing artificial networks that are…

Social and Information Networks · Computer Science 2014-02-04 Sadegh Motallebi , Sadegh Aliakbary , Jafar Habibi

Real-world networks usually have community structure, that is, nodes are grouped into densely connected communities. Community detection is one of the most popular and best-studied research topics in network science and has attracted…

Social and Information Networks · Computer Science 2018-09-21 Yunpeng Zhao

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

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…

Machine Learning · Statistics 2021-04-22 Yali Wan , Marina Meila

Multi-layer networks arise naturally in various domains including biology, finance and sociology, among others. The multi-layer stochastic block model (multi-layer SBM) is commonly used for community detection in the multi-layer networks.…

Statistics Theory · Mathematics 2024-06-18 Wenqing Su , Xiao Guo , Ying Yang

The stochastic block model (SBM) is a popular framework for studying community detection in networks. This model is limited by the assumption that all nodes in the same community are statistically equivalent and have equal expected degrees.…

Statistics Theory · Mathematics 2016-01-20 Yudong Chen , Xiaodong Li , Jiaming Xu

Motivated by theoretical advancements in dimensionality reduction techniques we use a recent model, called Block Markov Chains, to conduct a practical study of clustering in real-world sequential data. Clustering algorithms for Block Markov…

Machine Learning · Computer Science 2022-10-05 Alexander Van Werde , Albert Senen-Cerda , Gianluca Kosmella , Jaron Sanders

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…

Methodology · Statistics 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

Analytical explorations on complex networks and cubes (i.e., multi-dimensional datasets) are currently two separate research fields with different strategies. To gain more insights into cube dynamics via unique network-domain methodologies…

Social and Information Networks · Computer Science 2023-04-05 Shaojie Min , Ji Liu

Benchmarks stand as vital cornerstones in elevating SLAM algorithms within mobile robotics. Consequently, ensuring accurate and reproducible ground truth generation is vital for fair evaluation. A majority of outdoor ground truths are…

Robotics · Computer Science 2024-03-01 Effie Daum , Maxime Vaidis , François Pomerleau

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

Software Reliability Growth Models (SRGMs) are widely used to predict software reliability based on defect discovery data collected during testing or operational phases. However, their predictive accuracy often degrades in data-scarce…

Software Engineering · Computer Science 2025-09-23 Taehyoun Kim , Duksan Ryu , Jongmoon Baik

The stochastic block model (SBM) is a fundamental tool for community detection in networks, yet the finite-sample performance of inference methods remains underexplored. We evaluate key algorithms-spectral methods, variational inference,…

Social and Information Networks · Computer Science 2024-12-06 Tianjun Ke , Zhiyu Xu

Stochastic blockmodels have been proposed as a tool for detecting community structure in networks as well as for generating synthetic networks for use as benchmarks. Most blockmodels, however, ignore variation in vertex degree, making them…

Physics and Society · Physics 2011-03-02 Brian Karrer , M. E. J. Newman

The stochastic block model (SBM) is a probabilistic model for community structure in networks. Typically, only the adjacency matrix is used to perform SBM parameter inference. In this paper, we consider circumstances in which nodes have an…

Social and Information Networks · Computer Science 2018-03-09 Natalie Stanley , Thomas Bonacci , Roland Kwitt , Marc Niethammer , Peter J. Mucha

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

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

Nodes in real-world networks organize into densely linked communities where edges appear with high concentration among the members of the community. Identifying such communities of nodes has proven to be a challenging task mainly due to a…

Social and Information Networks · Computer Science 2012-11-08 Jaewon Yang , Jure Leskovec

Network representations can help reveal the behavior of complex systems. Useful information can be derived from the network properties and invariants, such as components, clusters or cliques, as well as from their changes over time. The…

Social and Information Networks · Computer Science 2019-03-18 Luis Ramada Pereira , Rui J. Lopes , Jorge Louçã