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Network community detection often relies on optimizing partition quality functions, like modularity. This optimization appears to be a complex problem traditionally relying on discrete heuristics. And although the problem could be…

Social and Information Networks · Computer Science 2021-03-04 Stanislav Sobolevsky

Clustering is a widely used unsupervised learning technique involving an intensive discrete optimization problem. Associative Memory models or AMs are differentiable neural networks defining a recursive dynamical system, which have been…

Machine Learning · Computer Science 2023-06-07 Bishwajit Saha , Dmitry Krotov , Mohammed J. Zaki , Parikshit Ram

As the data size in Machine Learning fields grows exponentially, it is inevitable to accelerate the computation by utilizing the ever-growing large number of available cores provided by high-performance computing hardware. However, existing…

Machine Learning · Computer Science 2021-04-23 Kun Li , Liang Yuan , Yunquan Zhang , Gongwei Chen

The stochastic block model (SBM) is an important generative model for random graphs in network science and machine learning, useful for benchmarking community detection (or clustering) algorithms. The symmetric SBM generates a graph with…

Machine Learning · Computer Science 2016-11-17 Akshay Gadde , Eyal En Gad , Salman Avestimehr , Antonio Ortega

A new fast algorithm for clustering and classification of large collections of text documents is introduced. The new algorithm employs the bipartite graph that realizes the word-document matrix of the collection. Namely, the modularity of…

Information Retrieval · Computer Science 2011-05-31 Grigory Pivovarov , Sergei Trunov

We describe a computationally efficient, stochastic graph-regularization technique that can be utilized for the semi-supervised training of deep neural networks in a parallel or distributed setting. We utilize a technique, first described…

Machine Learning · Statistics 2018-05-31 Sunil Thulasidasan , Jeffrey Bilmes , Garrett Kenyon

Community detection, which aims to cluster $N$ nodes in a given graph into $r$ distinct groups based on the observed undirected edges, is an important problem in network data analysis. In this paper, the popular stochastic block model (SBM)…

Statistics Theory · Mathematics 2015-06-04 T. Tony Cai , Xiaodong Li

Agglomerative clustering is a well established strategy for identifying communities in networks. Communities are successively merged into larger communities, coarsening a network of actors into a more manageable network of communities. The…

Physics and Society · Physics 2014-01-16 Michael J. Barber

Higher-order graph clustering aims to partition the graph using frequently occurring subgraphs. Motif conductance is one of the most promising higher-order graph clustering models due to its strong interpretability. However, existing motif…

Computational Complexity · Computer Science 2024-06-12 Longlong Lin , Tao Jia , Zeli Wang , Jin Zhao , Rong-Hua Li

Graph clustering is a fundamental task in unsupervised learning with broad real-world applications. While spectral clustering methods for undirected graphs are well-established and guided by a minimum cut optimization consensus, their…

Machine Learning · Statistics 2025-06-04 Ning Zhang , Xiaowen Dong , Mihai Cucuringu

Most existing semi-supervised graph-based clustering methods exploit the supervisory information by either refining the affinity matrix or directly constraining the low-dimensional representations of data points. The affinity matrix…

Machine Learning · Computer Science 2022-09-07 Huaming Ling , Chenglong Bao , Xin Liang , Zuoqiang Shi

Community detection is an important problem when processing network data. Traditionally, this is done by exploiting the connections between nodes, but connections can be too sparse to detect communities in many real datasets. Node…

Methodology · Statistics 2023-06-29 Yaofang Hu , Wanjie Wang

Attributed graphs model real networks by enriching their nodes with attributes accounting for properties. Several techniques have been proposed for partitioning these graphs into clusters that are homogeneous with respect to both semantic…

Social and Information Networks · Computer Science 2017-08-29 Alessandro Baroni , Alessio Conte , Maurizio Patrignani , Salvatore Ruggieri

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

The objective of graph coarsening is to generate smaller, more manageable graphs while preserving key information of the original graph. Previous work were mainly based on the perspective of spectrum-preserving, using some predefined…

Artificial Intelligence · Computer Science 2025-06-25 Shuyin Xia , Guan Wang , Gaojie Xu , Sen Zhao , Guoyin Wang

Deep graph clustering, which aims to group the nodes of a graph into disjoint clusters with deep neural networks, has achieved promising progress in recent years. However, the existing methods fail to scale to the large graph with million…

Machine Learning · Computer Science 2023-07-17 Yue Liu , Ke Liang , Jun Xia , Sihang Zhou , Xihong Yang , Xinwang Liu , Stan Z. Li

Clustering is a fundamental task in machine learning and data science, and similarity graph-based clustering is an important approach within this domain. Doubly stochastic symmetric similarity graphs provide numerous benefits for clustering…

Machine Learning · Computer Science 2024-08-13 Jinghui Yuan , Chusheng Zeng , Fangyuan Xie , Zhe Cao , Mulin Chen , Rong Wang , Feiping Nie , Yuan Yuan

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

Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for…

Methodology · Statistics 2016-06-23 Catherine Matias , Vincent Miele

The clustering method based on graph models has garnered increased attention for its widespread applicability across various knowledge domains. Its adaptability to integrate seamlessly with other relevant applications endows the graph…

Machine Learning · Computer Science 2025-04-02 Xinrun Xu , Manying Lv , Zhanbiao Lian , Yurong Wu , Jin Yan , Shan Jiang , Zhiming Ding