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Spectral clustering is a widely used method for community detection in networks. We focus on a semi-supervised community detection scenario in the Partially Labeled Stochastic Block Model (PL-SBM) with two balanced communities, where a…

Statistics Theory · Mathematics 2024-12-16 Nicolas Fraiman , Michael Nisenzon

The stochastic block model (SBM) is an important generative model for random graphs in network science and machine learning, useful for benchmarking community detection (or clustering) algorithms. The symmetric SBM generates a graph with…

Machine Learning · Computer Science 2016-11-17 Akshay Gadde , Eyal En Gad , Salman Avestimehr , Antonio Ortega

Motivated by social network analysis and network-based recommendation systems, we study a semi-supervised community detection problem in which the objective is to estimate the community label of a new node using the network topology and…

Social and Information Networks · Computer Science 2023-06-05 Yicong Jiang , Tracy Ke

This paper considers the problem of community detection on multiple potentially correlated graphs from an information-theoretical perspective. We first put forth a random graph model, called the multi-view stochastic block model (MVSBM),…

Social and Information Networks · Computer Science 2024-01-19 Yexin Zhang , Zhongtian Ma , Qiaosheng Zhang , Zhen Wang , Xuelong Li

The stochastic block model (SBM) is widely studied as a benchmark for graph clustering aka community detection. In practice, graph data often come with node attributes that bear additional information about the communities. Previous works…

Disordered Systems and Neural Networks · Physics 2023-09-12 O. Duranthon , L. Zdeborová

We study the problem of learning communities in the presence of modeling errors and give robust recovery algorithms for the Stochastic Block Model (SBM). This model, which is also known as the Planted Partition Model, is widely used for…

Data Structures and Algorithms · Computer Science 2016-06-27 Konstantin Makarychev , Yury Makarychev , Aravindan Vijayaraghavan

The stochastic block model (SBM) is a random graph model with different group of vertices connecting differently. It is widely employed as a canonical model to study clustering and community detection, and provides a fertile ground to study…

Probability · Mathematics 2023-10-26 Emmanuel Abbe

We propose a new local community detection algorithm that finds communities by identifying borderlines between them using boundary nodes. Our method performs label propagation for community detection, where nodes decide their labels based…

Physics and Society · Physics 2018-10-17 Mursel Tasgin , Haluk O. Bingol

In this paper we present results from a method of community detection using label propagation in undirected, unweighted graphs which incorporates elements of neural computing and spike-based data. Using a fully connected, edge-weighted…

Disordered Systems and Neural Networks · Physics 2018-10-24 Kathleen E. Hamilton , Travis S. Humble

The classical setting of community detection consists of networks exhibiting a clustered structure. To more accurately model real systems we consider a class of networks (i) whose edges may carry labels and (ii) which may lack a clustered…

Statistics Theory · Mathematics 2014-06-27 Jiaming Xu , Laurent Massoulié , Marc Lelarge

Motivated by the community detection problem in Bayesian inference, as well as the recent explosion of interest in spin glasses from statistical physics, we study the classical Glauber dynamics for sampling from Ising models with sparse…

Probability · Mathematics 2024-08-07 Kuikui Liu , Sidhanth Mohanty , Amit Rajaraman , David X. Wu

Clustering and community detection with multiple graphs have typically focused on aligned graphs, where there is a mapping between nodes across the graphs (e.g., multi-view, multi-layer, temporal graphs). However, there are numerous…

Social and Information Networks · Computer Science 2019-04-11 Guilherme Gomes , Vinayak Rao , Jennifer Neville

Community detection approaches resolve complex networks into smaller groups (communities) that are expected to be relatively edge-dense and well-connected. The stochastic block model (SBM) is one of several approaches used to uncover…

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

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

In the task of community detection, there often exists some useful prior information. In this paper, a Semi-supervised clustering approach using a new Evidential Label Propagation strategy (SELP) is proposed to incorporate the domain…

Social and Information Networks · Computer Science 2016-08-01 Kuang Zhou , Arnaud Martin , Quan Pan

We study the problem of community detection (CD) on Euclidean random geometric graphs where each vertex has two latent variables: a binary community label and a $\mathbb{R}^d$ valued location label which forms the support of a Poisson point…

Probability · Mathematics 2020-03-20 Emmanuel Abbe , Francois Baccelli , Abishek Sankararaman

Empirical observations suggest that in practice, community membership does not completely explain the dependency between the edges of an observation graph. The residual dependence of the graph edges are modeled in this paper, to first…

Social and Information Networks · Computer Science 2023-01-11 Mohammad Esmaeili , Aria Nosratinia

The integration of network information and node attribute information has recently gained significant attention in the community detection literature. In this work, we consider community detection in the Contextual Labeled Stochastic Block…

Machine Learning · Statistics 2025-01-28 Dian Jin , Yuqian Zhang , Qiaosheng Zhang

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, which aims to cluster $N$ nodes in a given graph into $r$ distinct groups based on the observed undirected edges, is an important problem in network data analysis. In this paper, the popular stochastic block model (SBM)…

Statistics Theory · Mathematics 2015-06-04 T. Tony Cai , Xiaodong Li
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