Work

Clustering Analysis of Multivariate Data: A Weighted Spatial Ranks-Based Approach

Year: 2023
Type: article
Abstract: Determining the right number of clusters without any prior information about their numbers is a core problem in cluster analysis. In this paper, we propose a nonparametric clustering method based on different weighted spatial rank (WSR) functions. The main idea behind WSR is to define a dissimilarity measure locally based on a localized version of multivariate ranks. We consider a nonparametric Gaussian kernel weights function. We compare the performance of the method with other standard techniques and assess its misclassification rate. The method is completely data-driven, robust against distributional assumptions, and accurate for the purpose of intuitive visualization and can be used both to determine the number of clusters and assign each observation to its cluster.
Language: English
Open Access status: gold
Estimated APC paid: $1,050
OpenAlex ID: W4387209545
FWCI: 0.277
Cites: 38
Cited by: 4
Related to: 10