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The theory of rapid mixing random walks plays a fundamental role in the study of modern randomised algorithms. Usually, the mixing time is measured with respect to the worst initial position. It is well known that the presence of…

概率论 · 数学 2024-01-30 Alberto Espuny Díaz , Patrick Morris , Guillem Perarnau , Oriol Serra

We have proposed a model based upon flocking on a complex network, and then developed two clustering algorithms on the basis of it. In the algorithms, firstly a \textit{k}-nearest neighbor (knn) graph as a weighted and directed graph is…

机器学习 · 计算机科学 2008-12-31 Qiang Li , Yan He , Jing-ping Jiang

Existing graph clustering networks heavily rely on a predefined yet fixed graph, which can lead to failures when the initial graph fails to accurately capture the data topology structure of the embedding space. In order to address this…

机器学习 · 计算机科学 2023-11-15 Zhihao Peng , Hui Liu , Yuheng Jia , Junhui Hou

Vehicular Ad-hoc NETworks (VANET) can efficiently detect traffic congestion, but detection is not enough because congestion can be further classified as recurrent and non-recurrent congestion (NRC). In particular, NRC in an urban network is…

机器学习 · 计算机科学 2020-12-07 Al Mallah Ranwa , Farooq Bilal , Quintero Alejandro

Recent works for attributed network clustering utilize graph convolution to obtain node embeddings and simultaneously perform clustering assignments on the embedding space. It is effective since graph convolution combines the structural and…

机器学习 · 计算机科学 2021-04-16 Shuiqiao Yang , Sunny Verma , Borui Cai , Jiaojiao Jiang , Kun Yu , Fang Chen , Shui Yu

In this paper we propose a new approach to detect clusters in undirected graphs with attributed vertices. We incorporate structural and attribute similarities between the vertices in an augmented graph by creating additional vertices and…

机器学习 · 计算机科学 2023-02-07 Pasqua D'Ambra , Panayot S. Vassilevski , Luisa Cutillo

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

Random-walk based network embedding algorithms like DeepWalk and node2vec are widely used to obtain Euclidean representation of the nodes in a network prior to performing downstream inference tasks. However, despite their impressive…

机器学习 · 统计学 2022-10-25 Yichi Zhang , Minh Tang

We propose an unsupervised image segmentation method using features from pre-trained text-to-image diffusion models. Inspired by classic spectral clustering approaches, we construct adjacency matrices from self-attention layers between…

计算机视觉与模式识别 · 计算机科学 2025-11-27 Daniela Ivanova , Marco Aversa , Paul Henderson , John Williamson

Clustering is a fundamental task in data analysis, and spectral clustering has been recognized as a promising approach to it. Given a graph describing the relationship between data, spectral clustering explores the underlying cluster…

机器学习 · 计算机科学 2021-09-08 Tomohiko Mizutani

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

数据结构与算法 · 计算机科学 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

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…

社会与信息网络 · 计算机科学 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

We consider a decentralized learning setting in which data is distributed over nodes in a graph. The goal is to learn a global model on the distributed data without involving any central entity that needs to be trusted. While gossip-based…

信息论 · 计算机科学 2021-03-17 Ghadir Ayache , Salim El Rouayheb

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

数据库 · 计算机科学 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

When it comes to clustering nonconvex shapes, two paradigms are used to find the most suitable clustering: minimum cut and maximum density. The most popular algorithms incorporating these paradigms are Spectral Clustering and DBSCAN. Both…

机器学习 · 计算机科学 2019-07-02 Sibylle Hess , Wouter Duivesteijn , Philipp Honysz , Katharina Morik

Graph clustering is a fundamental task which discovers communities or groups in networks. Recent studies have mostly focused on developing deep learning approaches to learn a compact graph embedding, upon which classic clustering methods…

机器学习 · 计算机科学 2019-06-18 Chun Wang , Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Chengqi Zhang

This paper constitutes the novel hypergraph convolutional neural networkbased clustering technique. This technique is employed to solve the clustering problem for the Citeseer dataset and the Cora dataset. Each dataset contains the feature…

机器学习 · 计算机科学 2022-09-07 Loc H. Tran , Nguyen Trinh , Linh H. Tran

Hypergraphs provide a fundamental framework for representing complex systems involving interactions among three or more entities. As empirical hypergraphs grow in size, characterizing their structural properties becomes increasingly…

社会与信息网络 · 计算机科学 2025-06-04 Kazuki Nakajima , Masanao Kodakari , Masaki Aida

Clustering is a fundamental task for analyzing unlabeled data based solely on its underlying distribution. Spectral clustering is a clustering method that represents a dataset as a graph and uses the relationships between data points.…

量子物理 · 物理学 2025-04-01 Hyeong-Gyu Kim , Siheon Park , June-Koo Kevin Rhee

Quantum walks provide a natural framework to approach graph problems with quantum computers, exhibiting speedups over their classical counterparts for tasks such as the search for marked nodes or the prediction of missing links.…

量子物理 · 物理学 2023-06-27 Duarte Magano , João Moutinho , Bruno Coutinho