Cluster Catch Digraphs with the Nearest Neighbor Distance

arXiv — stat.MLWednesday, November 12, 2025 at 5:00:00 AM
The introduction of a new clustering method utilizing Cluster Catch Digraphs (CCDs) marks a significant advancement in data analysis, particularly for high-dimensional datasets. By employing the nearest neighbor distance (NND) for spatial randomness testing, this method overcomes the limitations of existing techniques such as RK-CCDs, which rely on Ripley's K function. A comprehensive Monte Carlo analysis demonstrated its effectiveness, revealing that it can match or surpass the performance of KS-CCDs and RK-CCDs. Furthermore, the method was evaluated against real and complex datasets, consistently producing high-quality clusters with desirable properties. This development is particularly relevant as it enhances the capabilities of clustering algorithms, making them more robust and applicable to a wider range of data types.
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