ML 58: DBSCAN's Radius Is a Density, and It Gets Only One

Disclosure: this post was written with the assistance of an AI system (Claude), which wrote the analysis code, ran the experiments and drafted the text. The topic, the constraints, the data choices and the final review are the author’s. On two half-moons DBSCAN scored an adjusted Rand index of 0.95 or more for radii between 0.071 and 0.206, and 1.00 from 0.116, where k-means scored 0.25; the radius at the knee of the k-distance plot, 0....

October 14, 2026 · 9 min · Jongha Jeon