An improved density peaks clustering algorithm using similarity assignment strategy with K-nearest neighbors

Wei Hu, Ji Feng, Degang Yang
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Abstract

Some particular shaped datasets, such as manifold datasets, have restrictions on density peak clustering (DPC) performance. The main reason of variations in sample densities between clusters of data and uneven densities is not taken into consideration by the DPC algorithm, which could result in the wrong clustering center selection. Additionally, the use of single assignment method is leads to the domino effect of assignment errors. To address these problems, this paper creates a new, improved density peaks clustering method use the similarity assignment strategy with K nearest Neighbors (IDPC-SKNN). Firstly, a new method for defining local density is proposed. Local density is comprehensively consider in the proportion of the average density inside the region, which realize the precise location of low-density clusters. Then, using the samples’ K-nearest neighbors information, a new similarity allocation method is proposed. Allocation strategy successfully address assignment cascading mistakes and improves algorithms robustness. Finally, based on four evaluation indicators, our algorithm outperforms all the comparative clustering algorithm, according to experiments conducted on synthetic, real world and the Olivetti Faces datasets.

Abstract Image

使用 K 近邻相似性分配策略的改进型密度峰聚类算法
一些特殊形状的数据集(如流形数据集)对密度峰聚类(DPC)性能有限制。主要原因是数据簇之间样本密度的变化和密度不均没有被 DPC 算法考虑在内,这可能会导致聚类中心选择错误。此外,使用单一赋值方法会导致赋值错误的多米诺骨牌效应。为了解决这些问题,本文使用 K 最近邻的相似性赋值策略(IDPC-SKNN)创建了一种新的、改进的密度峰聚类方法。首先,本文提出了一种定义局部密度的新方法。局部密度综合考虑了区域内平均密度的比例,实现了低密度聚类的精确定位。然后,利用样本的 K 近邻信息,提出了一种新的相似性分配方法。分配策略成功地解决了分配级联错误,提高了算法的鲁棒性。最后,根据在合成、真实世界和 Olivetti Faces 数据集上进行的实验,基于四个评价指标,我们的算法优于所有比较聚类算法。
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