An improved density peaks clustering algorithm by automatic determination of cluster centres

Du, Hui; Hao, Yanting; Wang, Zhihe

doi:10.1080/09540091.2021.2012422

Cited by 5 publications

(1 citation statement)

References 33 publications

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“…Many variants of the standard DPC [57] have been developed [15,51,65,74,20,42,70], and there has also been a line of work focused on improving the computational efficiency of the standard DPC algorithm. The naive DPC algorithm takes Θ(n 2 ) work, and can be implemented to take O(log n) span for density computation and O(1) span for depending point finding.…”

Section: Density Peaks Clustering (Dpc)mentioning

confidence: 99%

Faster Parallel Exact Density Peaks Clustering

Huang¹,

Yu²,

Shun³

2023

SIAM Conference on Applied and Computational Discrete Algorithms (ACDA23)

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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 together. Density-based clustering is a clustering approach that defines clusters as dense regions of points. It has the advantage of being able to detect clusters of arbitrary shapes, rendering it useful in many applications.In this paper, we propose fast parallel algorithms for Density Peaks Clustering (DPC), a popular version of density-based clustering. Existing exact DPC algorithms suffer from low parallelism both in theory and in practice, which limits their application to largescale data sets. Our most performant algorithm, which is based on priority search kd-trees, achieves O(log n log log n) span (parallel time complexity) for a data set of n points. Our algorithm is also work-efficient, achieving a work complexity matching the best existing sequential exact DPC algorithm. In addition, we present another DPC algorithm based on a Fenwick tree that makes fewer assumptions for its average-case complexity to hold.We provide optimized implementations of our algorithms and evaluate their performance via extensive experiments. On a 30core machine with two-way hyperthreading, we find that our best algorithm achieves a 10.8-13169x speedup over the previous best parallel exact DPC algorithm. Compared to the state-of-the-art parallel approximate DPC algorithm, our best algorithm achieves a 1.5-4206x speedup, while being exact.

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