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Identifying overlapping communities in networks is a challenging task. In this work we present a novel approach to community detection that utilises the Bayesian non-negative matrix factorisation (NMF) model to produce a probabilistic…

机器学习 · 统计学 2010-09-28 Ioannis Psorakis , Stephen Roberts , Ben Sheldon

We propose a novel distributed algorithm to cluster graphs. The algorithm recovers the solution obtained from spectral clustering without the need for expensive eigenvalue/vector computations. We prove that, by propagating waves through the…

离散数学 · 计算机科学 2015-03-13 Tuhin Sahai , Alberto Speranzon , Andrzej Banaszuk

Attributed graph clustering or community detection which learns to cluster the nodes of a graph is a challenging task in graph analysis. In this paper, we introduce a contrastive learning framework for learning clustering-friendly node…

机器学习 · 计算机科学 2022-05-12 Maedeh Ahmadi , Mehran Safayani , Abdolreza Mirzaei

Research on cluster analysis for categorical data continues to develop, with new clustering algorithms being proposed. However, in this context, the determination of the number of clusters is rarely addressed. In this paper, we propose a…

统计方法学 · 统计学 2014-09-29 Cláudia Silvestre , Margarida G. M. S. Cardoso , Mário A. T. Figueiredo

Spectral clustering is one of the most popular methods for community detection in graphs. A key step in spectral clustering algorithms is the eigen decomposition of the $n{\times}n$ graph Laplacian matrix to extract its $k$ leading…

机器学习 · 统计学 2018-09-10 Muni Sreenivas Pydi , Ambedkar Dukkipati

Community detection in network analysis aims at partitioning nodes in a network into $K$ disjoint communities. Most currently available algorithms assume that $K$ is known, but choosing a correct $K$ is generally very difficult for real…

统计方法学 · 统计学 2017-07-03 Chong Chen , Ruibin Xi , Nan Lin

Community detection is an important problem in unsupervised learning. This paper proposes to solve a projection matrix approximation problem with an additional entrywise bounded constraint. Algorithmically, we introduce a new differentiable…

社会与信息网络 · 计算机科学 2023-08-16 Zheng Zhai , Hengchao Chen , Qiang Sun

Laplacian mixture models identify overlapping regions of influence in unlabeled graph and network data in a scalable and computationally efficient way, yielding useful low-dimensional representations. By combining Laplacian eigenspace and…

机器学习 · 统计学 2018-10-03 Daniel Korenblum

The community structure of a complex network can be determined by finding the partitioning of its nodes that maximizes modularity. Many of the proposed algorithms for doing this work by recursively bisecting the network. We show that this…

计算机与社会 · 计算机科学 2015-05-13 Yudong Sun , Bogdan Danila , Kresimir Josic , Kevin E. Bassler

Spectral clustering techniques are valuable tools in signal processing and machine learning for partitioning complex data sets. The effectiveness of spectral clustering stems from constructing a non-linear embedding based on creating a…

机器学习 · 计算机科学 2021-02-02 Farhad Pourkamali-Anaraki

The problem of finding overlapping communities in networks has gained much attention recently. Optimization-based approaches use non-negative matrix factorization (NMF) or variants, but the global optimum cannot be provably attained in…

机器学习 · 统计学 2017-06-26 Xueyu Mao , Purnamrita Sarkar , Deepayan Chakrabarti

Finite mixture modelling is a popular method in the field of clustering and is beneficial largely due to its soft cluster membership probabilities. A common method for fitting finite mixture models is to employ spectral clustering, which…

机器学习 · 统计学 2024-03-22 Liam Welsh , Phillip Shreeves

Many real networks that are inferred or collected from data are incomplete due to missing edges. Missing edges can be inherent to the dataset (Facebook friend links will never be complete) or the result of sampling (one may only have access…

社会与信息网络 · 计算机科学 2016-09-28 Matthew Burgess , Eytan Adar , Michael Cafarella

In this paper, we present a Bayesian approach for spectral unmixing of multispectral Lidar (MSL) data associated with surface reflection from targeted surfaces composed of several known materials. The problem addressed is the estimation of…

统计方法学 · 统计学 2015-10-28 Yoann Altmann , Andrew Wallace , Steve McLaughlin

A modularity-specialized label propagation algorithm (LPAm) for detecting network communities was recently proposed. This promising algorithm offers some desirable qualities. However, LPAm favors community divisions where all communities…

物理与社会 · 物理学 2010-03-22 Xin Liu , Tsuyoshi Murata

The clustering ensemble paradigm has emerged as an effective tool for community detection in multilayer networks, which allows for producing consensus solutions that are designed to be more robust to the algorithmic selection and…

数据库 · 计算机科学 2018-04-19 Domenico Mandaglio , Alessia Amelio , Andrea Tagarelli

We consider the problem of estimating common community structures in multi-layer stochastic block models, where each single layer may not have sufficient signal strength to recover the full community structure. In order to efficiently…

统计理论 · 数学 2022-03-08 Jing Lei , Kevin Z. Lin

Community detection refers to the problem of clustering the nodes of a network (either graph or hypergrah) into groups. Various algorithms are available for community detection and all these methods apply to uncensored networks. In…

机器学习 · 统计学 2021-11-08 Mingao Yuan , Bin Zhao , Xiaofeng Zhao

This study presents a semi-nonparametric Latent Class Choice Model (LCCM) with a flexible class membership component. The proposed model formulates the latent classes using mixture models as an alternative approach to the traditional random…

计量经济学 · 经济学 2023-08-07 Georges Sfeir , Maya Abou-Zeid , Filipe Rodrigues , Francisco Camara Pereira , Isam Kaysi

In this paper we propose a new approach to detect clusters in undirected graphs with attributed vertices. We incorporate structural and attribute similarities between the vertices in an augmented graph by creating additional vertices and…

机器学习 · 计算机科学 2023-02-07 Pasqua D'Ambra , Panayot S. Vassilevski , Luisa Cutillo