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We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

Social and Information Networks · Computer Science 2011-09-09 Matthew Rocklin , Ali Pinar

Graph clustering and community detection are central problems in modern data mining. The increasing need for analyzing billion-scale data calls for faster and more scalable algorithms for these problems. There are certain trade-offs between…

Social and Information Networks · Computer Science 2021-08-05 Jessica Shi , Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni

Originally, tangles were invented as an abstract tool in mathematical graph theory to prove the famous graph minor theorem. In this paper, we showcase the practical potential of tangles in machine learning applications. Given a collection…

Face clustering is a promising method for annotating unlabeled face images. Recent supervised approaches have boosted the face clustering accuracy greatly, however their performance is still far from satisfactory. These methods can be…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Shuai Shen , Wanhua Li , Zheng Zhu , Guan Huang , Dalong Du , Jiwen Lu , Jie Zhou

Graph clustering is a central topic in unsupervised learning with a multitude of practical applications. In recent years, multi-view graph clustering has gained a lot of attention for its applicability to real-world instances where one has…

Machine Learning · Computer Science 2024-06-10 Vincent Cohen-Addad , Tommaso d'Orsi , Silvio Lattanzi , Rajai Nasser

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

Machine Learning · Computer Science 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

We are interested in multilayer graph clustering, which aims at dividing the graph nodes into categories or communities. To do so, we propose to learn a clustering-friendly embedding of the graph nodes by solving an optimization problem…

Machine Learning · Computer Science 2021-03-31 Mireille El Gheche , Pascal Frossard

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

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

Computational Geometry · Computer Science 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

Graph Neural Networks (GNNs) have demonstrated impressive performance across diverse graph-based tasks by leveraging message passing to capture complex node relationships. However, on large-scale real-world graphs, GNNs face two major…

Machine Learning · Computer Science 2026-03-10 Xiang Li , Jianpeng Qi , Haobing Liu , Yuan Cao , Guoqing Chao , Zhongying Zhao , Junyu Dong , Xinwang Liu , Yanwei Yu

Fine-grained classification models are designed to focus on the relevant details necessary to distinguish highly similar classes, particularly when intra-class variance is high and inter-class variance is low. Most existing models rely on…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

This paper proposes an organized generalization of Newman and Girvan's modularity measure for graph clustering. Optimized via a deterministic annealing scheme, this measure produces topologically ordered graph clusterings that lead to…

Machine Learning · Statistics 2010-09-08 Fabrice Rossi , Nathalie Villa-Vialaneix

This article empirically examines the computational cost of solving a known hard problem, graph clustering, using novel purpose-built computer hardware. We express the graph clustering problem as an intra-cluster distance or dissimilarity…

Social and Information Networks · Computer Science 2020-03-10 Pierre Miasnikof , Seo Hong , Yuri Lawryshyn

Fine-grained clustering is a practical yet challenging task, whose essence lies in capturing the subtle differences between instances of different classes. Such subtle differences can be easily disrupted by data augmentation or be…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Ruohong Yang , Peng Hu , Xi Peng , Xiting Liu , Yunfan Li

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

Graph Neural Networks (GNNs) have emerged as powerful tools for supervised machine learning over graph-structured data, while sampling-based node representation learning is widely utilized in unsupervised learning. However, scalability…

Machine Learning · Computer Science 2024-07-23 Vipul Gupta , Xin Chen , Ruoyun Huang , Fanlong Meng , Jianjun Chen , Yujun Yan

Clustering analysis has been widely used in trust evaluation on various complex networks such as wireless sensors networks and online social networks. Spectral clustering is one of the most commonly used algorithms for graph-structured data…

Social and Information Networks · Computer Science 2021-12-03 Gang Mei , Jingzhi Tu , Lei Xiao , Francesco Piccialli

Crowd counting on static images is a challenging problem due to scale variations. Recently deep neural networks have been shown to be effective in this task. However, existing neural-networks-based methods often use the multi-column or…

Computer Vision and Pattern Recognition · Computer Science 2017-02-09 Lingke Zeng , Xiangmin Xu , Bolun Cai , Suo Qiu , Tong Zhang

Spectral clustering is a widely studied problem, yet its complexity is prohibitive for dynamic graphs of even modest size. We claim that it is possible to reuse information of past cluster assignments to expedite computation. Our approach…

Machine Learning · Statistics 2017-06-13 Lionel Martin , Andreas Loukas , Pierre Vandergheynst

Due to their computational complexity, graph cuts for cluster detection and identification are used mostly in the form of convex relaxations. We propose to utilize the original graph cuts such as Ratio, Normalized or Cheeger Cut to detect…

Data Structures and Algorithms · Computer Science 2024-10-15 Leo Suchan , Housen Li , Axel Munk