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Structural clustering is one of the most popular graph clustering methods, which has achieved great performance improvement by utilizing GPUs. Even though, the state-of-the-art GPU-based structural clustering algorithm, GPUSCAN, still…

Databases · Computer Science 2023-12-01 Long Yuan , Zeyu Zhou , Xuemin Lin , Zi Chen , Xiang Zhao , Fan Zhang

Economic policy and research rely on the correct evaluation of the billions of high-frequency data points that we collect every day. Consistent clustering algorithms, like DBSCAN, allow us to make sense of the data in a useful way. However,…

Statistics Theory · Mathematics 2024-03-25 Nicholas Waltz

This paper focuses on density-based clustering, particularly the Density Peak (DP) algorithm and the one based on density-connectivity DBSCAN; and proposes a new method which takes advantage of the individual strengths of these two methods…

Machine Learning · Computer Science 2024-01-30 Ye Zhu , Kai Ming Ting , Yuan Jin , Maia Angelova

We present a new algorithm for the widely used density-based clustering method DBscan. Our algorithm computes the DBscan-clustering in $O(n\log n)$ time in $\mathbb{R}^2$, irrespective of the scale parameter $\varepsilon$ (and assuming the…

Computational Geometry · Computer Science 2017-03-01 Mark de Berg , Ade Gunawan , Marcel Roeloffzen

DBSCAN is a very classic algorithm for data clus- tering, which is widely used in many fields. However, with the data scale growing much more bigger than before, the traditional serial algorithm can not meet the performance requirement.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-09 Bingchen Wang , Chenglong Zhang , Lei Song , Lianhe Zhao , Yu Dou , Zihao Yu

A novel combination of two widely-used clustering algorithms is proposed here for the detection and reduction of high data density regions. The Density Based Spatial Clustering of Applications with Noise (DBSCAN) algorithm is used for the…

Computational Physics · Physics 2023-07-19 Bart J. J. Kremers , Aaron Ho , Jonathan Citrin , Karel L. van de Plassche

Clustering analysis, a classical issue in data mining, is widely used in various research areas. This article aims at proposing a self-adaption grey DBSCAN clustering (SAG-DBSCAN) algorithm. First, the grey relational matrix is used to…

Machine Learning · Computer Science 2019-12-30 Shizhan Lu

The DBSCAN method for spatial clustering has received significant attention due to its applicability in a variety of data analysis tasks. There are fast sequential algorithms for DBSCAN in Euclidean space that take $O(n\log n)$ work for two…

Data Structures and Algorithms · Computer Science 2021-01-29 Yiqiu Wang , Yan Gu , Julian Shun

Many scientific problems involve data that is embedded in a space with periodic boundary conditions. This can for instance be related to an inherent cyclic or rotational symmetry in the data or a spatially extended periodicity. When…

Machine Learning · Computer Science 2025-10-08 Xander M. de Wit , Alessandro Gabbana

This paper presents a comprehensive comparative analysis of prominent clustering algorithms K-means, DBSCAN, and Spectral Clustering on high-dimensional datasets. We introduce a novel evaluation framework that assesses clustering…

Machine Learning · Computer Science 2025-07-31 Vishnu Vardhan Baligodugula , Fathi Amsaad

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

We propose a fast and dynamic algorithm for Density-Based Spatial Clustering of Applications with Noise (DBSCAN) that efficiently supports online updates. Traditional DBSCAN algorithms, designed for batch processing, become computationally…

Machine Learning · Computer Science 2025-03-12 Seiyun Shin , Ilan Shomorony , Peter Macgregor

DBSCAN and OPTICS are powerful algorithms for identifying clusters of points in domains where few assumptions can be made about the structure of the data. In this paper, we leverage these strengths and introduce a new algorithm, LINSCAN,…

Machine Learning · Computer Science 2026-04-15 Andrew Dennehy , Xiaoyu Zou , Shabnam J. Semnani , Yuri Fialko , Alexander Cloninger

A recent proposal of data dependent similarity called Isolation Kernel/Similarity has enabled SVM to produce better classification accuracy. We identify shortcomings of using a tree method to implement Isolation Similarity; and propose a…

Machine Learning · Computer Science 2024-01-30 Xiaoyu Qin , Kai Ming Ting , Ye Zhu , Vincent CS Lee

DBSCAN* and HDBSCAN* are well established density based clustering algorithms. However, obtaining the clusters of very large datasets is infeasible, limiting their use in real world applications. By exploiting the geometry of Euclidean…

Machine Learning · Computer Science 2022-03-16 A. L. Garcia-Pulido , K. P. Samardzhiev

The Density Based Spatial Clustering of Applications with Noise (DBSCAN) is a topometric algorithm used to cluster spatial data that are affected by background noise. For the first time, we propose the use of this method for the detection…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 A. Tramacere , C. Vecchio

DBSCAN, a well-known density-based clustering algorithm, has gained widespread popularity and usage due to its effectiveness in identifying clusters of arbitrary shapes and handling noisy data. However, it encounters challenges in producing…

Machine Learning · Computer Science 2025-05-09 Hao Peng , Xiang Huang , Shuo Sun , Ruitong Zhang , Philip S. Yu

Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic…

Databases · Computer Science 2012-06-04 Mohamed A. El-Zawawy

Clustering high-dimensional datasets is hard because interpoint distances become less informative in high-dimensional spaces. We present a clustering algorithm that performs nonlinear dimensionality reduction and clustering jointly. The…

Machine Learning · Computer Science 2018-03-06 Sohil Atul Shah , Vladlen Koltun

We study the problem of optimal estimation of the density cluster tree under various assumptions on the underlying density. Building up from the seminal work of Chaudhuri et al. [2014], we formulate a new notion of clustering consistency…

Statistics Theory · Mathematics 2019-12-05 Daren Wang , Xinyang Lu , Alessandro Rinaldo