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The problem of community detection with two equal-sized communities is closely related to the minimum graph bisection problem over certain random graph models. In the stochastic block model distribution over networks with community…

Optimization and Control · Mathematics 2022-05-13 Alberto Del Pia , Aida Khajavirad , Dmitriy Kunisky

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

Modern network datasets are often composed of multiple layers, either as different views, time-varying observations, or independent sample units, resulting in collections of networks over the same set of vertices but with potentially…

Statistics Theory · Mathematics 2025-06-05 Joshua Agterberg , Zachary Lubberts , Jesús Arroyo

Community detection finds homogeneous groups of nodes in a graph. Existing approaches either partition the graph into disjoint, non-overlapping, communities, or determine only overlapping communities. To date, no method supports both…

Social and Information Networks · Computer Science 2023-11-03 Atefeh Moradan , Andrew Draganov , Davide Mottin , Ira Assent

Community detection is a fundamental statistical problem in network data analysis. Many algorithms have been proposed to tackle this problem. Most of these algorithms are not guaranteed to achieve the statistical optimality of the problem,…

Statistics Theory · Mathematics 2015-10-06 Chao Gao , Zongming Ma , Anderson Y. Zhang , Harrison H. Zhou

Community detection is a fundamental problem in network science. In this paper, we consider community detection in hypergraphs drawn from the $hypergraph$ $stochastic$ $block$ $model$ (HSBM), with a focus on exact community recovery. We…

Social and Information Networks · Computer Science 2023-10-17 Julia Gaudio , Nirmit Joshi

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

Data Structures and Algorithms · Computer Science 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth

This work addresses approximate nearest neighbor search applied in the domain of large-scale image retrieval. Within the group testing framework we propose an efficient off-line construction of the search structures. The linear-time…

Computer Vision and Pattern Recognition · Computer Science 2018-09-21 Ahmet Iscen , Ondrej Chum

Community detection, a fundamental task for network analysis, aims to partition a network into multiple sub-structures to help reveal their latent functions. Community detection has been extensively studied in and broadly applied to many…

Social and Information Networks · Computer Science 2021-08-17 Di Jin , Zhizhi Yu , Pengfei Jiao , Shirui Pan , Dongxiao He , Jia Wu , Philip S. Yu , Weixiong Zhang

Community detection refers to the task of discovering groups of vertices sharing similar properties or functions so as to understand the network data. With the recent development of deep learning, graph representation learning techniques…

Artificial Intelligence · Computer Science 2019-12-17 Yuting Jia , Qinqin Zhang , Weinan Zhang , Xinbing Wang

This paper considers the problem of spectrum sensing in cognitive radio networks when the primary user employs Orthogonal Frequency Division Multiplexing (OFDM). We develop cooperative sequential detection algorithms based on energy…

Information Theory · Computer Science 2010-05-11 ArunKumar Jayaprakasam , Vinod Sharma , Chandra R. Murthy , Prashant Narayanan

We consider the problem of exact community recovery in the Labeled Stochastic Block Model (LSBM) with $k$ communities, where each pair of vertices is associated with a label from the set $\{0,1, \dots, L\}$. A pair of vertices from…

Statistics Theory · Mathematics 2024-08-26 Julia Gaudio , Heming Liu

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

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

A very important problem in combinatorial optimization is partitioning a network into communities of densely connected nodes; where the connectivity between nodes inside a particular community is large compared to the connectivity between…

Other Computer Science · Computer Science 2020-07-01 Christian F. A. Negre , Hayato Ushijima-Mwesigwa , Susan M. Mniszewski

Networks are useful representations of many systems with interacting entities, such as social, biological and physical systems. Characterizing the meso-scale organization, i.e. the community structure, is an important problem in network…

Physics and Society · Physics 2019-11-06 Abdullah Karaaslanli , Selin Aviyente

We consider an approach for community detection in time-varying networks. At its core, this approach maintains a small sketch graph to capture the essential community structure found in each snapshot of the full network. We demonstrate how…

Physics and Society · Physics 2022-12-06 Andre Beckus , George K. Atia

In this paper, we propose an improved version of an agglomerative hierarchical clustering algorithm that performs disjoint community detection in large-scale complex networks. The improved algorithm is achieved after replacing the local…

Social and Information Networks · Computer Science 2018-06-01 Eduar Castrillo , Elizabeth León , Jonatan Gómez

We study the problem of learning latent community structure from multiple correlated networks, focusing on edge-correlated stochastic block models with two balanced communities. Recent work of Gaudio, R\'acz, and Sridhar (COLT 2022)…

Statistics Theory · Mathematics 2024-12-05 Miklós Z. Rácz , Jifan Zhang

Phase retrieval refers to algorithmic methods for recovering a signal from its phaseless measurements. Local search algorithms that work directly on the non-convex formulation of the problem have been very popular recently. Due to the…

Information Theory · Computer Science 2020-03-06 Rishabh Dudeja , Milad Bakhshizadeh , Junjie Ma , Arian Maleki