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Nodes in real-world networks are repeatedly observed to form dense clusters, often referred to as communities. Methods to detect these groups of nodes usually maximize an objective function, which implicitly contains the definition of a…

物理与社会 · 物理学 2015-09-10 V. A. Traag , R. Aldecoa , J-C. Delvenne

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…

社会与信息网络 · 计算机科学 2020-03-31 Junfang Zhu , Xuezao Ren , Peijie Ma , Kun Gao

Detecting communities in large-scale networks is a challenging task when each vertex may belong to multiple communities, as is often the case in social networks. The multiple memberships of vertices and thus the strong overlaps among…

社会与信息网络 · 计算机科学 2019-06-04 Elvis H. W. Xu , P. M. Hui

The emerging problem of joint community detection and group synchronization, with applications in signal processing and machine learning, has been extensively studied in recent years. Previous research has predominantly focused on a…

信息论 · 计算机科学 2025-06-06 Yifeng Fan , Zhizhen Zhao

The Maximum Mutual Information (MMI) criterion is different from the Least Error Rate (LER) criterion. It can reduce failing to report small probability events. This paper introduces the Channels Matching (CM) algorithm for the MMI…

机器学习 · 计算机科学 2019-01-30 Chenguang Lu

Estimating mutual information (MI) from samples is a fundamental problem in statistics, machine learning, and data analysis. Recently it was shown that a popular class of non-parametric MI estimators perform very poorly for strongly…

信息论 · 计算机科学 2016-02-18 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

Nowadays, networks are almost ubiquitous. In the past decade, community detection received an increasing interest as a way to uncover the structure of networks by grouping nodes into communities more densely connected internally than…

数据结构与算法 · 计算机科学 2015-03-20 Erwan Le Martelot , Chris Hankin

In this work we address the problem of detecting overlapping communities in social networks. Because the word "community" is an ambiguous term, it is necessary to quantify what it means to be a community within the context of a particular…

社会与信息网络 · 计算机科学 2015-01-23 Michael Brutz , Francois G. Meyer

Community detection can be considered as a variant of cluster analysis applied to complex networks. For this reason, all existing studies have been using tools derived from this field when evaluating community detection algorithms. However,…

统计理论 · 数学 2012-10-24 Vincent Labatut

Community structures detection is one of the fundamental problems in complex network analysis towards understanding the topology structures of the network and the functions of it. Nonnegative matrix factorization (NMF) is a widely used…

社会与信息网络 · 计算机科学 2018-01-22 Zhenhai Chang , Hui-Min Cheng , Chao Yan , Xianjun Yin , Zhong-Yuan Zhang

(1) The enhanced capability of Graph Neural Networks (GNNs) in unsupervised community detection of clustered nodes is attributed to their capacity to encode both the connectivity and feature information spaces of graphs. The identification…

机器学习 · 计算机科学 2024-01-05 William Leeney , Ryan McConville

We introduce a novel Mutual Information (MI) estimator that fundamentally reframes the discriminative approach. Instead of training a classifier to discriminate between joint and marginal distributions, we learn a normalizing flow that…

机器学习 · 计算机科学 2026-02-10 Ivan Butakov , Alexander Semenenko , Valeriya Kirova , Alexey Frolov , Ivan Oseledets

How to determine the community structure of complex networks is an open question. It is critical to establish the best strategies for community detection in networks of unknown structure. Here, using standard synthetic benchmarks, we show…

社会与信息网络 · 计算机科学 2013-01-15 Rodrigo Aldecoa , Ignacio Marín

To obtain the optimal number of communities is an important problem in detecting community structure. In this paper, we extend the measurement of community detecting algorithms to find the optimal community number. Based on the normalized…

物理与社会 · 物理学 2015-05-27 Zhifang Li , Yanqing Hu , Beishan Xu , Zengru Di , Ying Fan

Mutual Information (MI) is a fundamental metric for quantifying dependency between two random variables. When we can access only the samples, but not the underlying distribution functions, we can evaluate MI using sample-based estimators.…

机器学习 · 统计学 2024-10-16 Kyungeun Lee , Wonjong Rhee

Community detection refers to the problem of clustering the nodes of a network into groups. Existing inferential methods for community structure mainly focus on unweighted (binary) networks. Many real-world networks are nonetheless weighted…

统计理论 · 数学 2022-04-21 Mingao Yuan , Zuofeng Shang

Estimating mutual information between continuous random variables is often intractable and extremely challenging for high-dimensional data. Recent progress has leveraged neural networks to optimize variational lower bounds on mutual…

机器学习 · 计算机科学 2020-12-01 Ruizhi Liao , Daniel Moyer , Polina Golland , William M. Wells

Community detection plays a crucial role in understanding the structural organization of complex networks. Previous methods, particularly those from statistical physics, primarily focus on the analysis of mesoscopic network structures and…

社会与信息网络 · 计算机科学 2025-04-21 Yijun Ran , Junfan Yi , Wei Si , Michael Small , Ke-ke Shang

In the last decade, recent successes in deep clustering majorly involved the mutual information (MI) as an unsupervised objective for training neural networks with increasing regularisations. While the quality of the regularisations have…

It has been shown that the communities of complex networks often overlap with each other. However, there is no effective method to quantify the overlapping community structure. In this paper, we propose a metric to address this problem.…

物理与社会 · 物理学 2009-07-28 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo