<ul data-eligibleForWebStory="true">Density-based clustering methods are more effective than centroid-based ones for data with noise or diverse distributions.A recent study introduces a key property related to the number of clusters and core point radius in density-based clustering.New strategies for determining radius values more efficiently using the Ternary Search algorithm are proposed based on this property.Extensive validation on various high-dimensional data tasks shows the practical effectiveness and robustness of the proposed methodology.