A Delayed Spiking Neural Membrane System for Adaptive Nearest Neighbor-Based Density Peak Clustering.

International journal of neural systems Pub Date : 2024-10-01 Epub Date: 2024-07-06 DOI:10.1142/S0129065724500503
Qianqian Ren, Lianlian Zhang, Shaoyi Liu, Jin-Xing Liu, Junliang Shang, Xiyu Liu
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Abstract

Although the density peak clustering (DPC) algorithm can effectively distribute samples and quickly identify noise points, it lacks adaptability and cannot consider the local data structure. In addition, clustering algorithms generally suffer from high time complexity. Prior research suggests that clustering algorithms grounded in P systems can mitigate time complexity concerns. Within the realm of membrane systems (P systems), spiking neural P systems (SN P systems), inspired by biological nervous systems, are third-generation neural networks that possess intricate structures and offer substantial parallelism advantages. Thus, this study first improved the DPC by introducing the maximum nearest neighbor distance and K-nearest neighbors (KNN). Moreover, a method based on delayed spiking neural P systems (DSN P systems) was proposed to improve the performance of the algorithm. Subsequently, the DSNP-ANDPC algorithm was proposed. The effectiveness of DSNP-ANDPC was evaluated through comprehensive evaluations across four synthetic datasets and 10 real-world datasets. The proposed method outperformed the other comparison methods in most cases.

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基于密度峰聚类的自适应近邻延迟尖峰神经膜系统
虽然密度峰聚类(DPC)算法可以有效地分布样本并快速识别噪声点,但它缺乏适应性,无法考虑局部数据结构。此外,聚类算法普遍存在时间复杂度高的问题。先前的研究表明,基于 P 系统的聚类算法可以缓解时间复杂性问题。在膜系统(P 系统)领域,尖峰神经 P 系统(SN P 系统)受到生物神经系统的启发,是第三代神经网络,具有复杂的结构和巨大的并行性优势。因此,本研究首先通过引入最大近邻距离和 K 近邻(KNN)对 DPC 进行了改进。此外,还提出了一种基于延迟尖峰神经 P 系统(DSN P 系统)的方法,以提高算法的性能。随后,提出了 DSNP-ANDPC 算法。通过对四个合成数据集和十个真实世界数据集的综合评估,评估了 DSNP-ANDPC 的有效性。所提出的方法在大多数情况下都优于其他比较方法。
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