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In this paper, we introduce the concept of principal communities and propose a principal graph encoder embedding method that concurrently detects these communities and achieves vertex embedding. Given a graph adjacency matrix with vertex…

Social and Information Networks · Computer Science 2025-11-25 Cencheng Shen , Yuexiao Dong , Carey E. Priebe , Jonathan Larson , Ha Trinh , Youngser Park

Graph embedding methods are becoming increasingly popular in the machine learning community, where they are widely used for tasks such as node classification and link prediction. Embedding graphs in geometric spaces should aid the…

We present a new algorithm for community detection. The algorithm uses random walks to embed the graph in a space of measures, after which a modification of $k$-means in that space is applied. The algorithm is therefore fast and easily…

Machine Learning · Computer Science 2016-05-11 Mark Kozdoba , Shie Mannor

Conventional network data has largely focused on pairwise interactions between two entities, yet multi-way interactions among multiple entities have been frequently observed in real-life hypergraph networks. In this article, we propose a…

Machine Learning · Statistics 2021-09-06 Yaoming Zhen , Junhui Wang

This paper introduces a refined graph encoder embedding method, enhancing the original graph encoder embedding through linear transformation, self-training, and hidden community recovery within observed communities. We provide the…

Social and Information Networks · Computer Science 2025-03-18 Cencheng Shen , Jonathan Larson , Ha Trinh , Carey E. Priebe

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

Machine Learning · Computer Science 2021-02-17 Valérie Poulin , François Théberge

In this paper, we study how to simultaneously learn two highly correlated tasks of graph analysis, i.e., community detection and node representation learning. We propose an efficient generative model called VECoDeR for jointly learning…

Machine Learning · Computer Science 2021-01-12 Rayyan Ahmad Khan , Muhammad Umer Anwaar , Omran Kaddah , Martin Kleinsteuber

Spectral clustering is a popular method for community detection in network graphs: starting from a matrix representation of the graph, the nodes are clustered on a low dimensional projection obtained from a truncated spectral decomposition…

Machine Learning · Statistics 2022-08-10 Francesco Sanna Passino , Nicholas A. Heard , Patrick Rubin-Delanchy

In this paper we propose a lightning fast graph embedding method called one-hot graph encoder embedding. It has a linear computational complexity and the capacity to process billions of edges within minutes on standard PC -- making it an…

Machine Learning · Computer Science 2024-06-27 Cencheng Shen , Qizhe Wang , Carey E. Priebe

Graph encoder embedding, a recent technique for graph data, offers speed and scalability in producing vertex-level representations from binary graphs. In this paper, we extend the applicability of this method to a general graph model, which…

Machine Learning · Statistics 2024-10-24 Cencheng Shen

With the rapid development of big data, how to efficiently and accurately discover tight community structures in large-scale networks for knowledge discovery has attracted more and more attention. In this paper, a community detection…

Social and Information Networks · Computer Science 2022-03-08 Chenyang Qiu , Zhaoci Huang , Wenzhe Xu , Huijia Li

While there has been a plethora of approaches for detecting disjoint communities from real-world complex networks, some methods for detecting overlapping community structures have also been recently proposed. In this work, we argue that,…

Social and Information Networks · Computer Science 2018-08-21 Tanmoy Chakraborty , Saptarshi Ghosh , Noseong Park

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

Modern graph embedding procedures can efficiently process graphs with millions of nodes. In this paper, we propose GEMSEC -- a graph embedding algorithm which learns a clustering of the nodes simultaneously with computing their embedding.…

Social and Information Networks · Computer Science 2019-07-26 Benedek Rozemberczki , Ryan Davies , Rik Sarkar , Charles Sutton

Graph embeddings have emerged as a powerful tool for representing complex network structures in a low-dimensional space, enabling the use of efficient methods that employ the metric structure in the embedding space as a proxy for the…

Social and Information Networks · Computer Science 2024-04-18 Radosław Nowak , Adam Małkowski , Daniel Cieślak , Piotr Sokół , Paweł Wawrzyński

Most of the existing graph embedding methods focus on nodes, which aim to output a vector representation for each node in the graph such that two nodes being "close" on the graph are close too in the low-dimensional space. Despite the…

Social and Information Networks · Computer Science 2019-02-13 Vincent W. Zheng , Sandro Cavallari , Hongyun Cai , Kevin Chen-Chuan Chang , Erik Cambria

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

Social and Information Networks · Computer Science 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

Statistical estimates can often be improved by fusion of data from several different sources. One example is so-called ensemble methods which have been successfully applied in areas such as machine learning for classification and…

Physics and Society · Physics 2013-09-03 Johan Dahlin , Pontus Svenson

In this paper, we first propose a graph neural network encoding method for multiobjective evolutionary algorithm to handle the community detection problem in complex attribute networks. In the graph neural network encoding method, each edge…

Neural and Evolutionary Computing · Computer Science 2021-01-06 Jianyong Sun , Wei Zheng , Qingfu Zhang , Zongben Xu

The hypergraph community detection problem seeks to identify groups of related nodes in hypergraph data. We propose an information-theoretic hypergraph community detection algorithm which compresses the observed data in terms of community…

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