no code implementations • 30 Aug 2022 • Ery Arias-Castro, Wanli Qiao
We adapt concepts, methodology, and theory originally developed in the areas of multidimensional scaling and dimensionality reduction for multivariate data to the functional setting.
no code implementations • 18 Feb 2022 • Ery Arias-Castro, Wanli Qiao
We consider several hill-climbing approaches to clustering as formulated by Fukunaga and Hostetler in the 1970's.
no code implementations • 19 Nov 2021 • Ery Arias-Castro, Wanli Qiao
Two important nonparametric approaches to clustering emerged in the 1970's: clustering by level sets or cluster tree as proposed by Hartigan, and clustering by gradient lines or gradient flow as proposed by Fukunaga and Hosteler.
no code implementations • 17 Sep 2021 • Ery Arias-Castro, Wanli Qiao
The paper establishes a strong correspondence between two important clustering approaches that emerged in the 1970's: clustering by level sets or cluster tree as proposed by Hartigan and clustering by gradient lines or gradient flow as proposed by Fukunaga and Hostetler.
no code implementations • 26 Apr 2021 • Wanli Qiao, Wolfgang Polonik
The extraction of filamentary structure from a point cloud is discussed.
no code implementations • 20 Apr 2021 • Wanli Qiao, Amarda Shehu
The mean shift (MS) algorithm is a nonparametric method used to cluster sample points and find the local modes of kernel density estimates, using an idea based on iterative gradient ascent.