Oddly enough HDBSCAN can be recast as a persistent homology computation; the trick is in simplicial complex construction; you need something slightly more densi

Oddly enough HDBSCAN can be recast as a persistent homology computation; the trick is in simplicial complex construction; you need something slightly more density aware than traditional Rips complexes. I am currently working on designing a version of Carlsson and Memoli's Multiparameter Hierarchical Clustering based on the persistent homology interpretation of HDBSCAN.