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There has been a lot of interest in developing algorithms to extract clusters or communities from networks. This work proposes a method, based on blockmodelling, for leveraging communities and other topological features for use in a…

Social and Information Networks · Computer Science 2011-10-20 Leto Peel

We consider the problem of community detection from observed interactions between individuals, in the context where multiple types of interaction are possible. We use labelled stochastic block models to represent the observed data, where…

Social and Information Networks · Computer Science 2012-09-14 Simon Heimlicher , Marc Lelarge , Laurent Massoulié

Community detection is one of the most active fields in complex networks analysis, due to its potential value in practical applications. Many works inspired by different paradigms are devoted to the development of algorithmic solutions…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

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…

Methodology · Statistics 2025-03-04 Al-Fahad Al-Qadhi , Keith Levin , Vincent Lyzinski

We describe techniques for the robust detection of community structure in some classes of time-dependent networks. Specifically, we consider the use of statistical null models for facilitating the principled identification of structural…

Data Analysis, Statistics and Probability · Physics 2013-04-16 Danielle S. Bassett , Mason A. Porter , Nicholas F. Wymbs , Scott T. Grafton , Jean M. Carlson , Peter J. Mucha

Community detection in a complex network is an important problem of much interest in recent years. In general, a community detection algorithm chooses an objective function and captures the communities of the network by optimizing the…

Social and Information Networks · Computer Science 2015-08-27 Suman Saha , Satya P. Ghrera

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

In this paper, we present and analyze a simple and robust spectral algorithm for the stochastic block model with $k$ blocks, for any $k$ fixed. Our algorithm works with graphs having constant edge density, under an optimal condition on the…

Data Structures and Algorithms · Computer Science 2015-06-25 Peter Chin , Anup Rao , Van Vu

We study the problem of community recovery and detection in multi-layer stochastic block models, focusing on the critical network density threshold for consistent community structure inference. Using a prototypical two-block model, we…

Statistics Theory · Mathematics 2023-11-15 Jing Lei , Anru R. Zhang , Zihan Zhu

A fundamental problem in network analysis is clustering the nodes into groups which share a similar connectivity pattern. Existing algorithms for community detection assume the knowledge of the number of clusters or estimate it a priori…

Methodology · Statistics 2018-03-30 Junxian Geng , Anirban Bhattacharya , Debdeep Pati

Block modeling is widely used in studies on complex networks. The cornerstone model is the stochastic block model (SBM), widely used over the past decades. However, the SBM is limited in analyzing complex networks as the model is, in…

Social and Information Networks · Computer Science 2020-11-03 Wenning Zhang , Ryohei Hisano , Takaaki Ohnishi , Takayuki Mizuno

Stochastic Block Models (SBMs) are a fundamental tool for community detection in network analysis. But little theoretical work exists on the statistical performance of Bayesian SBMs, especially when the community count is unknown. This…

Statistics Theory · Mathematics 2021-01-19 Sheng Jiang , Surya Tokdar

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…

Social and Information Networks · Computer Science 2018-12-10 A. Roxana Pamfil , Sam D. Howison , Renaud Lambiotte , Mason A. Porter

Community detection algorithms have been widely used to study the organization of complex systems like the brain. A principal appeal of these techniques is their ability to identify a partition of brain regions (or nodes) into communities,…

Neurons and Cognition · Quantitative Biology 2017-04-20 Arian Ashourvan , Qawi K. Telesford , Timothy Verstynen , Jean M. Vettel , Danielle S. Bassett

Dense sub-graphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Most existing community detection algorithms produce a hierarchical structure of community and seek…

Data Structures and Algorithms · Computer Science 2021-01-13 Pascal Pons , Matthieu Latapy

We propose and analyze a generic method for community recovery in stochastic block models and degree corrected block models. This approach can exactly recover the hidden communities with high probability when the expected node degrees are…

Machine Learning · Statistics 2019-10-01 Jing Lei , Lingxue Zhu

In community detection on graphs, the semi-supervised learning problem entails inferring the ground-truth membership of each node in a graph, given the connectivity structure and a limited number of revealed node labels. Different subsets…

Disordered Systems and Neural Networks · Physics 2022-03-22 Hugo Cui , Luca Saglietti , Lenka Zdeborová

Community detection is a very active field in complex networks analysis, consisting in identifying groups of nodes more densely interconnected relatively to the rest of the network. The existing algorithms are usually tested and compared on…

Social and Information Networks · Computer Science 2012-08-16 Günce Orman , Vincent Labatut , Hocine Cherifi

In this paper, we consider networks consisting of a finite number of non-overlapping communities. To extract these communities, the interaction between pairs of nodes may be sampled from a large available data set, which allows a given node…

Social and Information Networks · Computer Science 2014-02-20 Se-Young Yun , Alexandre Proutiere

With rapid developments of information and technology, large scale network data are ubiquitous. In this work we develop a distributed spectral clustering algorithm for community detection in large scale networks. To handle the problem, we…

Methodology · Statistics 2021-06-01 Shihao Wu , Zhe Li , Xuening Zhu