Consistent procedures for cluster tree estimation and pruning

Kamalika Chaudhuri, Sanjoy Dasgupta, Samory Kpotufe +1

For a density $f$ on ${\mathbb{R}}^d$, a {\it high-density cluster} is any connected component of $\{x:f(x)\ge \lambda \}$, for some $\lambda >0$. The set of all high-density clusters forms a…