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The minimum sum-of-squares clustering (MSSC), or k-means type clustering, has been recently extended to exploit prior knowledge on the cardinality of each cluster. Such knowledge is used to increase performance as well as solution quality.…

Optimization and Control · Mathematics 2023-10-13 Veronica Piccialli , Antonio M. Sudoso

Community detection is one of the pivotal tools for discovering the structure of complex networks. Majority of community detection methods rely on optimization of certain quality functions characterizing the proposed community structure.…

Social and Information Networks · Computer Science 2017-12-15 Stanislav Sobolevsky , Alexander Belyi , Carlo Ratti

We present a quantum-inspired algorithm that utilizes Quantum Hamiltonian Descent (QHD) for efficient community detection. Our approach reformulates the community detection task as a Quadratic Unconstrained Binary Optimization (QUBO)…

Quantum Physics · Physics 2025-11-18 Jinglei Cheng , Ruilin Zhou , Yuhang Gan , Chen Qian , Junyu Liu

Community detection in graphs has been the subject of many algorithms. Recent methods want to optimize a modularity function which shows a maximum of relationships within communities and found a minimum of inter-community relations. these…

Machine Learning · Statistics 2013-07-11 Michel Crampes , Michel Plantié , Marie Lopez

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

Community detection is a significant and challenging task in network research. Nowadays, plenty of attention has been focused on local methods of community detection. Among them, community detection with a greedy algorithm typically starts…

Social and Information Networks · Computer Science 2020-03-31 Junfang Zhu , Xuezao Ren , Peijie Ma , Kun Gao

Community detection is a fundamental unsupervised learning problem for unlabeled networks which has a broad range of applications. Many community detection algorithms assume that the number of clusters $r$ is known apriori. In this paper,…

Machine Learning · Statistics 2018-03-20 Bowei Yan , Purnamrita Sarkar , Xiuyuan Cheng

In this paper, we proposed a novel two-stage optimization method for network community partition, which is based on inherent network structure information. The introduced optimization approach utilizes the new network centrality measure of…

Social and Information Networks · Computer Science 2019-07-16 Yiguang Bai , Sanyang Liu , Ke Yin , Jing Yuan

The characterization of network community structure has profound implications in several scientific areas. Therefore, testing the algorithms developed to establish the optimal division of a network into communities is a fundamental problem…

Physics and Society · Physics 2013-08-02 Rodrigo Aldecoa , Ignacio Marín

In many networks, it is of great interest to identify "communities", unusually densely knit groups of individuals. Such communities often shed light on the function of the networks or underlying properties of the individuals. Recently,…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Gaurav Agarwal , David Kempe

The global energy transition towards distributed, smaller-scale resources, such as decentralized generation and flexible assets like storage and shiftable loads, demands novel control structures aligned with the emerging network…

Social and Information Networks · Computer Science 2025-06-25 Philipp Danner , Hermann de Meer

Community detection is a classic network problem with extensive applications in various fields. Its most common method is using modularity maximization heuristics which rarely return an optimal partition or anything similar. Partitions with…

Social and Information Networks · Computer Science 2024-10-28 Samin Aref , Mahdi Mostajabdaveh , Hriday Chheda

Community structure is an important structural property that extensively exists in various complex networks. In the past decade, much attention has been paid to the design of community-detection methods, but analyzing the behaviors of the…

Physics and Society · Physics 2017-06-28 Ju Xiang , Zhi-Zhong Wang , Hui-Jia Li , Yan Zhang , Fang Li , Li-Ping Dong , Jian-Ming Li

We study a new connection between a technical measure called $\mu$-conductance that arises in the study of Markov chains for sampling convex bodies and the network community profile that characterizes size-resolved properties of clusters…

Social and Information Networks · Computer Science 2023-03-28 Yufan Huang , C. Seshadhri , David F. Gleich

Community detection now is an important operation in numerous graph based applications. It is used to reveal groups that exist within real world networks without imposing prior size or cardinality constraints on the set of communities.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-29 Richard Forster

The modularity is a quality function in community detection, which was introduced by Newman and Girvan (2004). Community detection in graphs is now often conducted through modularity maximization: given an undirected graph $G=(V,E)$, we are…

Social and Information Networks · Computer Science 2021-10-27 Yasushi Kawase , Tomomi Matsui , Atsushi Miyauchi

We introduce an ensemble learning scheme for community detection in complex networks. The scheme uses a Machine Learning algorithmic paradigm we call Extremal Ensemble Learning. It uses iterative extremal updating of an ensemble of network…

Physics and Society · Physics 2019-10-04 Jiahao Guo , Pramesh Singh , Kevin E. Bassler

Community detection is a fundamental problem in computational sciences with extensive applications in various fields. The most commonly used methods are the algorithms designed to maximize modularity over different partitions of the network…

Social and Information Networks · Computer Science 2023-06-27 Samin Aref , Mahdi Mostajabdaveh , Hriday Chheda

Community detection is a fundamental and important problem in network science, as community structures often reveal both topological and functional relationships between different components of the complex system. In this paper, we first…

Physics and Society · Physics 2020-11-18 Wenyi Fang , Xin Wang , Longzhao Liu , Zhaole Wu , Shaoting Tang , Zhiming Zheng

We derive rigorous bounds for well-defined community structure in complex networks for a stochastic block model (SBM) benchmark. In particular, we analyze the effect of inter-community "noise" (inter-community edges) on any "community…

Statistical Mechanics · Physics 2014-07-14 Richard K. Darst , David R. Reichman , Peter Ronhovde , Zohar Nussinov