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Correlation clustering is a well-studied problem, first proposed by Bansal, Blum, and Chawla [Mach. Learn. '04]. The input is an unweighted, undirected graph. The problem is to cluster the vertices so as to minimize the number of edges…

Data Structures and Algorithms · Computer Science 2026-05-12 Nairen Cao , Vincent Cohen-Addad , Euiwoong Lee , Shi Li , David Rasmussen Lolck , Alantha Newman , Mikkel Thorup , Lukas Vogl , Shuyi Yan , Hanwen Zhang

Measuring graph clustering quality remains an open problem. To address it, we introduce quality measures based on comparisons of intra- and inter-cluster densities, an accompanying statistical test of the significance of their differences…

Social and Information Networks · Computer Science 2020-03-20 Pierre Miasnikof , Alexander Y. Shestopaloff , Anthony J. Bonner , Yuri Lawryshyn , Panos M. Pardalos

Subgraph listing is a fundamental problem in graph theory and has wide applications in areas like sociology, chemistry, and social networks. Modern graphs can usually be large-scale as well as highly dynamic, which challenges the efficiency…

Databases · Computer Science 2020-09-01 Xun Jian , Yue Wang , Xiayu Lei , Yanyan Shen , Lei Chen

We study the problem of dynamically maintaining the connected components of an undirected graph subject to edge insertions and deletions. We give the first parallel algorithm for the problem which is work-efficient, supports batches of…

Data Structures and Algorithms · Computer Science 2024-11-19 Quinten De Man , Laxman Dhulipala , Adam Karczmarz , Jakub Łącki , Julian Shun , Zhongqi Wang

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…

Social and Information Networks · Computer Science 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

Graph clustering is a fundamental and challenging task in the field of graph mining where the objective is to group the nodes into clusters taking into consideration the topology of the graph. It has several applications in diverse domains…

Machine Learning · Computer Science 2023-12-21 Aritra Bhowmick , Mert Kosan , Zexi Huang , Ambuj Singh , Sourav Medya

Motivated by the recent rapid growth of research for algorithms to cluster multi-layer and temporal graphs, we study extensions of the classical Cluster Editing problem. In Multi-Layer Cluster Editing we receive a set of graphs on the same…

Discrete Mathematics · Computer Science 2018-12-14 Jiehua Chen , Hendrik Molter , Manuel Sorge , Ondrej Suchy

This paper initiates the study of the classic balanced graph partitioning problem from an online perspective: Given an arbitrary sequence of pairwise communication requests between $n$ nodes, with patterns that may change over time, the…

Data Structures and Algorithms · Computer Science 2020-05-15 Chen Avin , Marcin Bienkowski , Andreas Loukas , Maciej Pacut , Stefan Schmid

In many practical applications of clustering, the objects to be clustered evolve over time, and a clustering result is desired at each time step. In such applications, evolutionary clustering typically outperforms traditional static…

Machine Learning · Computer Science 2015-03-19 Kevin S. Xu , Mark Kliger , Alfred O. Hero

Clustering is a crucial component of many data mining systems involving the analysis and exploration of various data. Data diversity calls for clustering algorithms to be accurate while providing stable (i.e., deterministic and robust)…

Social and Information Networks · Computer Science 2019-12-19 Artem Lutov , Mourad Khayati , Philippe Cudré-Mauroux

We present CluSTAR-ND, a fast hierarchical galaxy/(sub)halo finder that produces {\bf Clu}stering {\bf S}tructure via {\bf T}ransformative {\bf A}ggregation and {\bf R}ejection in {\bf N}-{\bf D}imensions. It is designed to improve upon…

Astrophysics of Galaxies · Physics 2022-06-29 William H. Oliver , Pascal J. Elahi , Geraint F. Lewis

Deep graph clustering (DGC), which aims to unsupervisedly separate the nodes in an attribute graph into different clusters, has seen substantial potential in various industrial scenarios like community detection and recommendation. However,…

Social and Information Networks · Computer Science 2025-08-06 Yaowen Hu , Wenxuan Tu , Yue Liu , Xinhang Wan , Junyi Yan , Taichun Zhou , Xinwang Liu

We introduce a novel self-supervised deep clustering approach tailored for unstructured data without requiring prior knowledge of the number of clusters, termed Adaptive Self-supervised Robust Clustering (ASRC). In particular, ASRC…

Machine Learning · Computer Science 2024-07-31 Chen-Lu Ding , Jiancan Wu , Wei Lin , Shiyang Shen , Xiang Wang , Yancheng Yuan

As the most typical graph clustering method, spectral clustering is popular and attractive due to the remarkable performance, easy implementation, and strong adaptability. Classical spectral clustering measures the edge weights of graph…

Machine Learning · Computer Science 2023-12-08 Dehua Peng , Zhipeng Gui , Huayi Wu

Imagine a large graph that is being processed by a cluster of computers, e.g., described by the $k$-machine model or the Massively Parallel Computation Model. The graph, however, is not static; instead it is receiving a constant stream of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-18 Seth Gilbert , Lawrence Li

In this thesis, we propose several modelling strategies to tackle evolving data in different contexts. In the framework of static clustering, we start by introducing a soft kernel spectral clustering (SKSC) algorithm, which can better deal…

Social and Information Networks · Computer Science 2014-11-24 Rocco Langone

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

Machine Learning · Computer Science 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

Adaptive Resonance Theory (ART) is considered as an effective approach for realizing continual learning thanks to its ability to handle the plasticity-stability dilemma. In general, however, the clustering performance of ART-based…

Machine Learning · Computer Science 2022-07-08 Naoki Masuyama , Narito Amako , Yuna Yamada , Yusuke Nojima , Hisao Ishibuchi

Attributed graph clustering is challenging as it requires joint modelling of graph structures and node attributes. Recent progress on graph convolutional networks has proved that graph convolution is effective in combining structural and…

Machine Learning · Computer Science 2019-06-05 Xiaotong Zhang , Han Liu , Qimai Li , Xiao-Ming Wu

Deep multi-view clustering seeks to utilize the abundant information from multiple views to improve clustering performance. However, most of the existing clustering methods often neglect to fully mine multi-view structural information and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Jinrong Cui , Xiaohuang Wu , Haitao Zhang , Chongjie Dong , Jie Wen