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Modularity is one of the most widely used quality measures for graph clusterings. Maximizing modularity is NP-hard, and the runtime of exact algorithms is prohibitive for large graphs. A simple and effective class of heuristics coarsens the…

Data Structures and Algorithms · Computer Science 2009-09-22 Andreas Noack , Randolf Rotta

Most existing popular methods for learning graph embedding only consider fixed-order global structural features and lack structures hierarchical representation. To address this weakness, we propose a novel graph embedding algorithm named…

Machine Learning · Computer Science 2021-02-03 Xue Liu , Wei Wei , Xiangnan Feng , Xiaobo Cao , Dan Sun

We study differentially private (DP) algorithms for recovering clusters in well-clustered graphs, which are graphs whose vertex set can be partitioned into a small number of sets, each inducing a subgraph of high inner conductance and small…

Data Structures and Algorithms · Computer Science 2024-03-22 Weiqiang He , Hendrik Fichtenberger , Pan Peng

This paper describes a graph clustering algorithm that aims to minimize the normalized cut criterion and has a model order selection procedure. The performance of the proposed algorithm is comparable to spectral approaches in terms of…

Artificial Intelligence · Computer Science 2011-05-06 Seyed Salim Tabatabaei , Mark Coates , Michael Rabbat

Attribute-missing graph clustering has emerged as a significant unsupervised task, where only attribute vectors of partial nodes are available and the graph structure is intact. The related models generally follow the two-step paradigm of…

Machine Learning · Computer Science 2025-10-30 Mulin Chen , Bocheng Wang , Jiaxin Zhong , Zongcheng Miao , Xuelong Li

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 propose a Greedy strategy to solve the problem of Graph Cut, called GGC. It starts from the state where each data sample is regarded as a cluster and dynamically merges the two clusters which reduces the value of the global objective…

Machine Learning · Computer Science 2024-12-31 Feiping Nie , Shenfei Pei , Zengwei Zheng , Rong Wang , Xuelong Li

Clustering algorithms have significantly improved along with Deep Neural Networks which provide effective representation of data. Existing methods are built upon deep autoencoder and self-training process that leverages the distribution of…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Xin Ma , Won Hwa Kim

Given entities and their interactions in the web data, which may have occurred at different time, how can we find communities of entities and track their evolution? In this paper, we approach this important task from graph clustering…

Social and Information Networks · Computer Science 2023-03-29 Namyong Park , Ryan Rossi , Eunyee Koh , Iftikhar Ahamath Burhanuddin , Sungchul Kim , Fan Du , Nesreen Ahmed , Christos Faloutsos

Local graph clustering methods aim to detect small clusters in very large graphs without the need to process the whole graph. They are fundamental and scalable tools for a wide range of tasks such as local community detection, node ranking…

Social and Information Networks · Computer Science 2023-06-14 Shenghao Yang , Kimon Fountoulakis

In this work, a graph partitioning problem in a fixed number of connected components is considered. Given an undirected graph with costs on the edges, the problem consists of partitioning the set of nodes into a fixed number of subsets with…

Optimization and Control · Mathematics 2024-11-12 Mishelle Cordero , Andrés Miniguano-Trujillo , Diego Recalde , Ramiro Torres , Polo Vaca

Circuit cutting is a promising technique that leverages both quantum and classical computational resources, enabling the practical execution of large quantum circuits on noisy intermediate-scale quantum (NISQ) hardware. Recent approaches…

Quantum Physics · Physics 2026-04-15 Shuwen Kan , Yanni Li , Hao Wang , Sara Mouradian , Ying Mao

Probabilistic relaxations of graph cuts offer a differentiable alternative to spectral clustering, enabling end-to-end and online learning without eigendecompositions, yet prior work centered on RatioCut and lacked general guarantees and…

Machine Learning · Computer Science 2026-04-02 Ayoub Ghriss

Clustering graphs based on a comparison of the number of links within clusters and the expected value of this quantity in a random graph has gained a lot of attention and popularity in the last decade. Recently, Aldecoa and Marin proposed a…

Data Structures and Algorithms · Computer Science 2013-10-23 Tobias Fleck , Andrea Kappes , Dorothea Wagner

Local graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most (local) graph clustering algorithms is to find a…

Data Structures and Algorithms · Computer Science 2021-06-10 Peter Macgregor , He Sun

Finding a suitable data representation for a specific task has been shown to be crucial in many applications. The success of subspace clustering depends on the assumption that the data can be separated into different subspaces. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Zhengrui Ma , Zhao Kang , Guangchun Luo , Ling Tian

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

Machine Learning · Computer Science 2019-01-30 Nicolas Tremblay , Andreas Loukas

Graph clustering discovers groups or communities within networks. Deep learning methods such as autoencoders (AE) extract effective clustering and downstream representations but cannot incorporate rich structural information. While Graph…

Machine Learning · Computer Science 2022-04-28 Gayan K. Kulatilleke , Marius Portmann , Shekhar S. Chandra

Traditionally, graph quality metrics focus on readability, but recent studies show the need for metrics which are more specific to the discovery of patterns in graphs. Cluster analysis is a popular task within graph analysis, yet there is…

Data Structures and Algorithms · Computer Science 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

We present \textit{CluProp}, a novel framework that reimagines varied-density clustering in high-dimensional spaces as a label propagation process over neighborhood graphs. Our approach formally bridges the gap between density-based…

Machine Learning · Computer Science 2026-05-04 Yingtao Zheng , Hugo Phibbs , Ninh Pham