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Graph clustering is a central topic in unsupervised learning with a multitude of practical applications. In recent years, multi-view graph clustering has gained a lot of attention for its applicability to real-world instances where one has…

机器学习 · 计算机科学 2024-06-10 Vincent Cohen-Addad , Tommaso d'Orsi , Silvio Lattanzi , Rajai Nasser

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

机器学习 · 统计学 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

统计理论 · 数学 2023-11-07 Tabea Rebafka

We focus on spectral clustering of unlabeled graphs and review some results on clustering methods which achieve weak or strong consistent identification in data generated by such models. We also present a new algorithm which appears to…

统计理论 · 数学 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel

Clustering a graph, i.e., assigning its nodes to groups, is an important operation whose best known application is the discovery of communities in social networks. Graph clustering and community detection have traditionally focused on…

社会与信息网络 · 计算机科学 2015-01-09 Cecile Bothorel , Juan David Cruz , Matteo Magnani , Barbora Micenkova

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

应用统计 · 统计学 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

Mixture models extend the toolbox of clustering methods available to the data analyst. They allow for an explicit definition of the cluster shapes and structure within a probabilistic framework and exploit estimation and inference…

统计方法学 · 统计学 2025-09-15 Bettina Grün

Our problem of interest is to cluster vertices of a graph by identifying underlying community structure. Among various vertex clustering approaches, spectral clustering is one of the most popular methods because it is easy to implement…

机器学习 · 统计学 2020-09-23 Congyuan Yang , Carey E. Priebe , Youngser Park , David J. Marchette

Mixture models are probabilistic models aimed at uncovering and representing latent subgroups within a population. In the realm of network data analysis, the latent subgroups of nodes are typically identified by their connectivity…

统计方法学 · 统计学 2020-05-27 Giacomo De Nicola , Benjamin Sischka , Göran Kauermann

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

社会与信息网络 · 计算机科学 2011-09-09 Matthew Rocklin , Ali Pinar

Graph clustering (or community detection) has long drawn enormous attention from the research on web mining and information networks. Recent literature on this topic has reached a consensus that node contents and link structures should be…

社会与信息网络 · 计算机科学 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

We propose a new approach for defining and searching clusters in graphs that represent real technological or transaction networks. In contrast to the standard way of finding dense parts of a graph, we concentrate on the structure of edges…

组合数学 · 数学 2021-03-16 András London , Ryan R. Martin , András Pluhár

Graph-based clustering methods have demonstrated the effectiveness in various applications. Generally, existing graph-based clustering methods first construct a graph to represent the input data and then partition it to generate the…

机器学习 · 计算机科学 2019-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong

Even though clustering trajectory data attracted considerable attention in the last few years, most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying…

机器学习 · 计算机科学 2012-10-04 Mohamed Khalil El Mahrsi , Fabrice Rossi

We present a selective review on probabilistic modeling of heterogeneity in random graphs. We focus on latent space models and more particularly on stochastic block models and their extensions that have undergone major developments in the…

统计理论 · 数学 2014-09-26 Catherine Matias , Stéphane Robin

It has been shown that community detection algorithms work better for clustering tasks than other, more popular methods, such as k-means. In fact, network analysis based methods often outperform more widely used methods and do not suffer…

社会与信息网络 · 计算机科学 2017-07-25 Nina Mrzelj , Pavlin Gregor Poličar

We introduce a Bayesian extension of the latent block model for model-based block clustering of data matrices. Our approach considers a block model where block parameters may be integrated out. The result is a posterior defined over the…

统计计算 · 统计学 2010-11-15 Jason Wyse , Nial Friel

Clustering the nodes of a graph allows the analysis of the topology of a network. The stochastic block model is a clustering method based on a probabilistic model. Initially developed for binary networks it has recently been extended to…

统计计算 · 统计学 2014-02-17 Jean-Benoist Leger

Graph clustering, which aims to divide a graph into several homogeneous groups, is a critical area of study with applications that span various fields such as social network analysis, bioinformatics, and image segmentation. This paper…

Graph clustering is a fundamental task in unsupervised learning with broad real-world applications. While spectral clustering methods for undirected graphs are well-established and guided by a minimum cut optimization consensus, their…

机器学习 · 统计学 2025-06-04 Ning Zhang , Xiaowen Dong , Mihai Cucuringu
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