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相关论文: Weighted Graph Nodes Clustering via Gumbel Softmax

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Clustering a graph, i.e., assigning its nodes to groups, is an important operation whose best known application is the discovery of communities in social networks. Graph clustering and community detection have traditionally focused on…

社会与信息网络 · 计算机科学 2015-01-09 Cecile Bothorel , Juan David Cruz , Matteo Magnani , Barbora Micenkova

A Graph of Convex Sets (GCS) is a graph in which vertices are associated with convex programs and edges couple pairs of programs through additional convex costs and constraints. Any optimization problem over an ordinary weighted graph…

最优化与控制 · 数学 2025-10-24 Tobia Marcucci

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

数据库 · 计算机科学 2016-10-03 Till Schäfer , Petra Mutzel

We study hypergraph clustering in the weighted $d$-uniform hypergraph stochastic block model ($d$\textsf{-WHSBM}), where each edge consisting of $d$ nodes from the same community has higher expected weight than the edges consisting of nodes…

机器学习 · 统计学 2020-11-19 Jeonghwan Lee , Daesung Kim , Hye Won Chung

In standard graph clustering/community detection, one is interested in partitioning the graph into more densely connected subsets of nodes. In contrast, the "search" problem of this paper aims to only find the nodes in a "single" such…

社会与信息网络 · 计算机科学 2018-06-22 Avik Ray , Sujay Sanghavi , Sanjay Shakkottai

Graph based clustering is one of the major clustering methods. Most of it work in three separate steps: similarity graph construction, clustering label relaxing and label discretization with k-means. Such common practice has three…

机器学习 · 计算机科学 2019-04-26 Yudong Han , Lei Zhu , Zhiyong Cheng , Jingjing Li , Xiaobai Liu

Many data types arising from data mining applications can be modeled as bipartite graphs, examples include terms and documents in a text corpus, customers and purchasing items in market basket analysis and reviewers and movies in a movie…

信息检索 · 计算机科学 2007-05-23 H. Zha , X. He , C. Ding , M. Gu , H. Simon

Graph clustering is an unsupervised machine learning method that partitions the nodes in a graph into different groups. Despite achieving significant progress in exploiting both attributed and structured data information, graph clustering…

机器学习 · 计算机科学 2025-01-03 Rui Zhang , Xiaoyang Hou , Zhihua Tian , Yan he , Enchao Gong , Jian Liu , Qingbiao Wu , Kui Ren

Graph clustering is a fundamental technique in data analysis with applications in many different fields. While there is a large body of work on clustering undirected graphs, the problem of clustering directed graphs is much less understood.…

物理与社会 · 物理学 2025-01-31 James Martin , Tim Rogers , Luca Zanetti

Graph Neural Networks have become one of the indispensable tools to learn from graph-structured data, and their usefulness has been shown in wide variety of tasks. In recent years, there have been tremendous improvements in architecture…

机器学习 · 统计学 2021-11-15 Sunil Kumar Maurya , Xin Liu , Tsuyoshi Murata

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

社会与信息网络 · 计算机科学 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

机器学习 · 计算机科学 2021-10-04 Shahana Ibrahim , Xiao Fu

The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

分布式、并行与集群计算 · 计算机科学 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

Graph Neural Networks have been extensively applied in the field of machine learning to find features of graphs, and recommendation systems are no exception. The ratings of users on considered items can be represented by graphs which are…

信息检索 · 计算机科学 2025-03-28 Tin T. Tran , V. Snasel

Graph kernels are widely used for measuring the similarity between graphs. Many existing graph kernels, which focus on local patterns within graphs rather than their global properties, suffer from significant structure information loss when…

机器学习 · 计算机科学 2019-12-02 Lingfei Wu , Ian En-Hsu Yen , Zhen Zhang , Kun Xu , Liang Zhao , Xi Peng , Yinglong Xia , Charu Aggarwal

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…

数据分析、统计与概率 · 物理学 2009-09-29 Hristo Djidjev

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

社会与信息网络 · 计算机科学 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

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…

机器学习 · 计算机科学 2019-06-05 Xiaotong Zhang , Han Liu , Qimai Li , Xiao-Ming Wu

Graph clustering, a classical task in graph learning, involves partitioning the nodes of a graph into distinct clusters. This task has applications in various real-world scenarios, such as anomaly detection, social network analysis, and…

机器学习 · 计算机科学 2024-08-09 Xiaoyang Ji , Yuchen Zhou , Haofu Yang , Shiyue Xu , Jiahao Li

In recent years, benefiting from the expressive power of Graph Convolutional Networks (GCNs), significant breakthroughs have been made in face clustering area. However, rare attention has been paid to GCN-based clustering on imbalanced…

计算机视觉与模式识别 · 计算机科学 2023-01-02 Huafeng Yang , Qijie Shen , Xingjian Chen , Fangyi Zhang , Rong Du