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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

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

Finding a suitable density function is essential for density-based clustering algorithms such as DBSCAN and DPC. A naive density corresponding to the indicator function of a unit $d$-dimensional Euclidean ball is commonly used in these…

Machine Learning · Computer Science 2021-10-15 Chao Zheng , Yingjie Chen , Chong Chen , Jianqiang Huang , Xian-Sheng Hua

We present sDBSCAN, a scalable density-based clustering algorithm in high dimensions with cosine distance. Utilizing the neighborhood-preserving property of random projections, sDBSCAN can quickly identify core points and their…

Machine Learning · Computer Science 2025-05-20 Haochuan Xu , Ninh Pham

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

This paper studies density-based clustering of point sets. These methods use dense regions of points to detect clusters of arbitrary shapes. In particular, we study variants of density peaks clustering, a popular type of algorithm that has…

Data Structures and Algorithms · Computer Science 2025-06-04 Shangdi Yu , Joshua Engels , Yihao Huang , Julian Shun

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

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 widely applied density peak clustering (DPC) algorithm makes an intuitive cluster formation assumption that cluster centers are often surrounded by data points with lower local density and far away from other data points with higher…

Machine Learning · Computer Science 2022-01-04 Yizhang Wang , Di Wang , You Zhou , Xiaofeng Zhang , Chai Quek

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

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 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

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

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

Incremental K-means and DBSCAN are two very important and popular clustering techniques for today's large dynamic databases (Data warehouses, WWW and so on) where data are changed at random fashion. The performance of the incremental…

Databases · Computer Science 2014-06-19 Sanjay Chakraborty , N. K. Nagwani , Lopamudra Dey

Clustering multi-dimensional points is a fundamental task in many fields, and density-based clustering supports many applications as it can discover clusters of arbitrary shapes. This paper addresses the problem of Density-Peaks Clustering…

Databases · Computer Science 2022-12-01 Daichi Amagata , Takahiro Hara

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 fundamental density-based clustering technique that identifies any arbitrary shape of the clusters. However, it becomes infeasible while handling big data. On the other hand, centroid-based clustering is important for detecting…

Machine Learning · Computer Science 2023-10-12 Jayasree Saha , Jayanta Mukherjee

Clustering multidimensional points is a fundamental data mining task, with applications in many fields, such as astronomy, neuroscience, bioinformatics, and computer vision. The goal of clustering algorithms is to group similar objects…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-22 Yihao Huang , Shangdi Yu , Julian Shun

We present an unsupervised data processing workflow that is specifically designed to obtain a fast conformational clustering of long molecular dynamics simulation trajectories. In this approach we combine two dimensionality reduction…

Chemical Physics · Physics 2023-08-09 Simon Hunkler , Kay Diederichs , Oleksandra Kukharenko , Christine Peter