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Graph neural networks (GNNs) based methods have achieved impressive performance on node clustering task. However, they are designed on the homophilic assumption of graph and clustering on heterophilic graph is overlooked. Due to the lack of…

Social and Information Networks · Computer Science 2023-05-09 Erlin Pan , Zhao Kang

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

Partitioning a graph into groups of vertices such that those within each group are more densely connected than vertices assigned to different groups, known as graph clustering, is often used to gain insight into the organisation of large…

Machine Learning · Statistics 2014-01-28 Charanpal Dhanjal , Romaric Gaudel , Stéphan Clémençon

Graphs and networks are used to model interactions in a variety of contexts. There is a growing need to quickly assess the characteristics of a graph in order to understand its underlying structure. Some of the most useful metrics are…

Social and Information Networks · Computer Science 2014-12-02 Tamara G. Kolda , Ali Pinar , Todd Plantenga , C. Seshadhri , Christine Task

We study the widely used hierarchical agglomerative clustering (HAC) algorithm on edge-weighted graphs. We define an algorithmic framework for hierarchical agglomerative graph clustering that provides the first efficient $\tilde{O}(m)$ time…

Data Structures and Algorithms · Computer Science 2021-06-11 Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni , Jessica Shi

Clustering face images according to their identity has two important applications: (i) grouping a collection of face images when no external labels are associated with images, and (ii) indexing for efficient large scale face retrieval. The…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Yichun Shi , Charles Otto , Anil K. Jain

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

Data Structures and Algorithms · Computer Science 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

Many datasets take the form of a bipartite graph where two types of nodes are connected by relationships, like the movies watched by a user or the tags associated with a file. The partitioning of the bipartite graph could be used to fasten…

Information Retrieval · Computer Science 2021-10-01 Gaëlle Candel , David Naccache

It is common for real-world applications to analyze big graphs using distributed graph processing systems. Popular in-memory systems require an enormous amount of resources to handle big graphs. While several out-of-core approaches have…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-08 Peng Sun , Yonggang Wen , Ta Nguyen Binh Duong , Xiaokui Xiao

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

Data Structures and Algorithms · Computer Science 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

A bipartite network is a graph structure where nodes are from two distinct domains and only inter-domain interactions exist as edges. A large number of network embedding methods exist to learn vectorial node representations from general…

Machine Learning · Computer Science 2021-02-15 Hansheng Xue , Luwei Yang , Vaibhav Rajan , Wen Jiang , Yi Wei , Yu Lin

In this paper we propose a new problem of finding the maximal bi-connected partitioning of a graph with a size constraint (MBCPG-SC). With the goal of finding approximate solutions for the MBCPG-SC, a heuristic method is developed based on…

Discrete Mathematics · Computer Science 2016-04-19 Raka Jovanovic , Tatsushi Nishi , Stefan Voss

This paper considers the problem of clustering a partially observed unweighted graph---i.e., one where for some node pairs we know there is an edge between them, for some others we know there is no edge, and for the remaining we do not know…

Machine Learning · Computer Science 2014-07-25 Yudong Chen , Ali Jalali , Sujay Sanghavi , Huan Xu

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Hypergraphs provide a powerful framework for modeling complex systems and networks with higher-order interactions beyond simple pairwise relationships. However, graph-based clustering approaches, which focus primarily on pairwise relations,…

Social and Information Networks · Computer Science 2025-07-16 Giuseppe F. Italiano , Athanasios L. Konstantinidis , Anna Mpanti , Fariba Ranjbar

How do graph clustering techniques compare with respect to their summarization power? How well can they summarize a million-node graph with a few representative structures? Graph clustering or community detection algorithms can summarize a…

Information Retrieval · Computer Science 2015-11-24 Yike Liu , Neil Shah , Danai Koutra

Decentralized learning has recently been attracting increasing attention for its applications in parallel computation and privacy preservation. Many recent studies stated that the underlying network topology with a faster consensus rate…

Machine Learning · Computer Science 2023-10-17 Yuki Takezawa , Ryoma Sato , Han Bao , Kenta Niwa , Makoto Yamada

Graph clustering is a fundamental task in graph analysis, and recent advances in utilizing graph neural networks (GNNs) have shown impressive results. Despite the success of existing GNN-based graph clustering methods, they often overlook…

Machine Learning · Computer Science 2023-10-31 Ming Gu , Gaoming Yang , Sheng Zhou , Ning Ma , Jiawei Chen , Qiaoyu Tan , Meihan Liu , Jiajun Bu

The increasing scale and wealth of inter-connected data, such as those accrued by social network applications, demand the design of new techniques and platforms to efficiently derive actionable knowledge from large-scale graphs. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-08 Abdullah Gharaibeh , Tahsin Reza , Elizeu Santos-Neto , Lauro Beltrao Costa , Scott Sallinen , Matei Ripeanu

Recently, graph neural networks have been adopted in a wide variety of applications ranging from relational representations to modeling irregular data domains such as point clouds and social graphs. However, the space of graph neural…

Machine Learning · Computer Science 2018-12-14 Marcel Nassar
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