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Diffusions and related random walk procedures are of central importance in many areas of machine learning, data analysis, and applied mathematics. Because they spread mass agnostically at each step in an iterative manner, they can sometimes…

数据结构与算法 · 计算机科学 2018-06-12 Di Wang , Kimon Fountoulakis , Monika Henzinger , Michael W. Mahoney , Satish Rao

We study clustering algorithms based on neighborhood graphs on a random sample of data points. The question we ask is how such a graph should be constructed in order to obtain optimal clustering results. Which type of neighborhood graph…

机器学习 · 统计学 2009-12-18 Markus Maier , Matthias Hein , Ulrike von Luxburg

We define a general variant of the graph clustering problem where the criterion of density for the clusters is (high) connectivity. In {\sc Clustering to Given Connectivities}, we are given an $n$-vertex graph $G$, an integer $k$, and a…

数据结构与算法 · 计算机科学 2018-04-23 Petr A. Golovach , Dimitrios M. Thilikos

The problem of estimating the number of clusters (say k) is one of the major challenges for the partitional clustering. This paper proposes an algorithm named k-SCC to estimate the optimal k in categorical data clustering. For the…

机器学习 · 计算机科学 2025-01-28 Duy-Tai Dinh , Tsutomu Fujinami , Van-Nam Huynh

The traditional algorithms do not meet the latest multiple requirements simultaneously for objects. Density-based method is one of the methodologies, which can detect arbitrary shaped clusters where clusters are defined as dense regions…

数据库 · 计算机科学 2016-12-05 Singh Vijendra , Priyanka Trikha

High-dimensional clustering analysis is a challenging problem in statistics and machine learning, with broad applications such as the analysis of microarray data and RNA-seq data. In this paper, we propose a new clustering procedure called…

统计方法学 · 统计学 2022-10-31 Tianqi Liu , Yu Lu , Biqing Zhu , Hongyu Zhao

We discuss a graph-based approach for testing spatial point patterns. This approach falls under the category of data-random graphs, which have been introduced and used for statistical pattern recognition in recent years. Our goal is to test…

统计方法学 · 统计学 2008-02-06 E. Ceyhan , C. E. Priebe , D. J. Marchette

We propose a novel graph clustering method guided by additional information on the underlying structure of the clusters (or communities). The problem is formulated as the matching of a graph to a template with smaller dimension, hence…

机器学习 · 统计学 2021-07-06 Mateus Riva , Florian Yger , Pietro Gori , Roberto M. Cesar , Isabelle Bloch

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

社会与信息网络 · 计算机科学 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

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

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

数据结构与算法 · 计算机科学 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth

We develop a new density-based clustering algorithm named CRAD which is based on a new neighbor searching function with a robust data depth as the dissimilarity measure. Our experiments prove that the new CRAD is highly competitive at…

统计计算 · 统计学 2019-04-09 Xin Huang , Yulia R. Gel

Clustering is a fundamental task in unsupervised learning, but most existing methods heavily rely on hyperparameters such as the number of clusters or other sensitive settings, limiting their applicability in real-world scenarios. To…

机器学习 · 计算机科学 2026-03-25 Lijun Zhang , Suyuan Liu , Siwei Wang , Shengju Yu , Xueling Zhu , Miaomiao Li , Xinwang Liu

Subspace clustering, the task of clustering high dimensional data when the data points come from a union of subspaces is one of the fundamental tasks in unsupervised machine learning. Most of the existing algorithms for this task require…

机器学习 · 统计学 2020-10-28 Vishnu Menon , Gokularam M , Sheetal Kalyani

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…

机器学习 · 计算机科学 2025-04-02 Xinrun Xu , Manying Lv , Zhanbiao Lian , Yurong Wu , Jin Yan , Shan Jiang , Zhiming Ding

Clustering algorithms are fundamental tools across many fields, with density-based methods offering particular advantages in identifying arbitrarily shaped clusters and handling noise. However, their effectiveness is often limited by the…

机器学习 · 计算机科学 2025-12-01 Meysam Shirdel Bilehsavar , Razieh Ghaedi , Samira Seyed Taheri , Xinqi Fan , Christian O'Reilly

Spectral clustering is a powerful tool for unsupervised data analysis. In this paper, we propose a context-aware hypergraph similarity measure (CAHSM), which leads to robust spectral clustering in the case of noisy data. We construct three…

计算机视觉与模式识别 · 计算机科学 2016-11-15 Xi Li , Weiming Hu , Chunhua Shen , Anthony Dick , Zhongfei Zhang

Cluster analysis, or clustering, plays a crucial role across numerous scientific and engineering domains. Despite the wealth of clustering methods proposed over the past decades, each method is typically designed for specific scenarios and…

统计方法学 · 统计学 2026-01-22 Siyi Wang , Alexandre Leblanc , Paul D. McNicholas

Motivated by applications in community detection and dense subgraph discovery, we consider new clustering objectives in hypergraphs and bipartite graphs. These objectives are parameterized by one or more resolution parameters in order to…

数据结构与算法 · 计算机科学 2020-06-22 Nate Veldt , Anthony Wirth , David F. Gleich

Clustering is a well-known and important problem with numerous applications. The graph-based model is one of the typical cluster models. In the graph model, clusters are generally defined as cliques. However, such an approach might be too…

数据结构与算法 · 计算机科学 2017-06-30 Ivan Bliznets , Nikolai Karpov