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Clustering is a cornerstone of modern data analysis. Detecting clusters in exploratory data analyses (EDA) requires algorithms that make few assumptions about the data. Density-based clustering algorithms are particularly well-suited for…

Machine Learning · Computer Science 2026-02-03 Daniël Bot , Leland McInnes , Jan Aerts

In this paper we target the class of modal clustering methods where clusters are defined in terms of the local modes of the probability density function which generates the data. The most well-known modal clustering method is the k-means…

Machine Learning · Computer Science 2022-03-04 Gaël Beck , Tarn Duong , Mustapha Lebbah , Hanane Azzag , Christophe Cérin

Density based spatial clustering of points in $\mathbb{R}^n$ has a myriad of applications in a variety of industries. We generalise this problem to the density based clustering of lines in high-dimensional spaces, keeping in mind there…

Machine Learning · Computer Science 2024-10-04 Akanksha Das , Malay Bhattacharyya

We propose a new method for clustering based on the local minimization of the \gamma-divergence, which we call the spontaneous clustering. The greatest advantage of the proposed method is that it automatically detects the number of clusters…

Methodology · Statistics 2013-05-01 Akifumi Notsu , Osamu Komori , Shinto Eguchi

The idea underlying the modal formulation of density-based clustering is to associate groups with the regions around the modes of the probability density function underlying the data. This correspondence between clusters and dense regions…

Social and Information Networks · Computer Science 2021-01-22 Giovanna Menardi , Domenico De Stefano

As one type of efficient unsupervised learning methods, clustering algorithms have been widely used in data mining and knowledge discovery with noticeable advantages. However, clustering algorithms based on density peak have limited…

Machine Learning · Computer Science 2019-11-26 Jianguo Chen , Philip S. Yu

The dependence of galaxy clustering on local density provides an effective method for extracting non-Gaussian information from galaxy surveys. The two-point correlation function (2PCF) provides a complete statistical description of a…

Spectral clustering is one of the most popular clustering methods. However, how to balance the efficiency and effectiveness of the large-scale spectral clustering with limited computing resources has not been properly solved for a long…

Machine Learning · Computer Science 2022-07-12 Hongmin Li , Xiucai Ye , Akira Imakura , Tetsuya Sakurai

This paper presents a novel geometrical approach to investigate the convexity of a density-based cluster. Our approach is grid-based and we are about to calibrate the value space of the cluster. However, the cluster objects are coming from…

Computational Geometry · Computer Science 2020-09-25 Sayyed-Ahmad Naghavi-Nozad

Agglomerative clustering has emerged as a vital tool in data analysis due to its intuitive and flexible characteristics. However, existing agglomerative clustering methods often involve additional parameters for sub-cluster partitioning and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-12 Huan Yan , Junjie Hu

In this paper, we study different discrete data clustering methods, which use the Model-Based Clustering (MBC) framework with the Multinomial distribution. Our study comprises several relevant issues, such as initialization, model…

Machine Learning · Computer Science 2015-09-08 Md. Abul Hasnat , Julien Velcin , Stéphane Bonnevay , Julien Jacques

Density-based clustering algorithms are widely used for discovering clusters in pattern recognition and machine learning since they can deal with non-hyperspherical clusters and are robustness to handle outliers. However, the runtime of…

Machine Learning · Computer Science 2022-07-07 Difei Cheng , Ruihang Xu , Bo Zhang , Ruinan Jin

The two most extended density-based approaches to clustering are surely mixture model clustering and modal clustering. In the mixture model approach, the density is represented as a mixture and clusters are associated to the different…

Machine Learning · Statistics 2016-09-16 José E. Chacón

Algorithms for community detection are usually stochastic, leading to different partitions for different choices of random seeds. Consensus clustering has proven to be an effective technique to derive more stable and accurate partitions…

Physics and Society · Physics 2019-04-23 Aditya Tandon , Aiiad Albeshri , Vijey Thayananthan , Wadee Alhalabi , Santo Fortunato

Spectral clustering is a popular clustering method. It first maps data into the spectral embedding space and then uses Kmeans to find clusters. However, the two decoupled steps prohibit joint optimization for the optimal solution. In…

Machine Learning · Computer Science 2024-12-17 Wengang Guo , Wei Ye

In this paper, a similarity-driven cluster merging method is proposed for unsuper-vised fuzzy clustering. The cluster merging method is used to resolve the problem of cluster validation. Starting with an overspecified number of clusters in…

Machine Learning · Computer Science 2012-07-19 Xuejian Xiong , Kap Chan , Kian Lee Tan

Local clustering aims to identify specific substructures within a large graph without any additional structural information of the graph. These substructures are typically small compared to the overall graph, enabling the problem to be…

Machine Learning · Computer Science 2025-10-31 Zhaiming Shen , Sung Ha Kang

Bayesian clustering typically relies on mixture models, with each component interpreted as a different cluster. After defining a prior for the component parameters and weights, Markov chain Monte Carlo (MCMC) algorithms are commonly used to…

Methodology · Statistics 2024-07-30 Alexander Dombowsky , David B. Dunson

Subspace clustering refers to the problem of clustering high-dimensional data into a union of low-dimensional subspaces. Current subspace clustering approaches are usually based on a two-stage framework. In the first stage, an affinity…

Machine Learning · Computer Science 2019-10-22 Shuai Yang , Wenqi Zhu , Yuesheng Zhu

Density-based spatial clustering of applications with noise (DBSCAN) is a data clustering algorithm which has the high-performance rate for dataset where clusters have the constant density of data points. One of the significant attributes…