5 citations · 20 across the 15 of their papers we have counts for
5 papers · 1 filter
An Asymptotic Equivalence between the Mean-Shift Algorithm and the Cluster Tree
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 gr…
Moving Up the Cluster Tree with the Gradient Flow
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 Hartig…
Space Partitioning and Regression Mode Seeking via a Mean-Shift-Inspired Algorithm
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 gradien…
Estimation of the Global Mode of a Density: Minimaxity, Adaptation, and Computational Complexity
Ery Arias-Castro, Wanli Qiao, Lin Zheng
We consider the estimation of the global mode of a density under some decay rate condition around the global mode. We show that the maximum of a histogram, with proper choice of ba…
Algorithms for ridge estimation with convergence guarantees
Wanli Qiao, Wolfgang Polonik
The extraction of filamentary structure from a point cloud is discussed. The filaments are modeled as ridge lines or higher dimensional ridges of an underlying density. We propose…