Skeleton Clustering: Dimension-Free Density-Aided Clustering

Zeyu Wei and Yen-Chi Chen

Journal of the American Statistical Association, 2024, vol. 119, issue 546, 1124-1135

Abstract: We introduce a density-aided clustering method called Skeleton Clustering that can detect clusters in multivariate and even high-dimensional data with irregular shapes. To bypass the curse of dimensionality, we propose surrogate density measures that are less dependent on the dimension but have intuitive geometric interpretations. The clustering framework constructs a concise representation of the given data as an intermediate step and can be thought of as a combination of prototype methods, density-based clustering, and hierarchical clustering. We show by theoretical analysis and empirical studies that the skeleton clustering leads to reliable clusters in multivariate and high-dimensional scenarios. Supplementary materials for this article are available online.

Date: 2024
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DOI: 10.1080/01621459.2023.2174122

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