1 citations · 3 across the 6 of their papers we have counts for
7 papers
Clustering by Hill-Climbing: Consistency Results
Ery Arias-Castro, Wanli Qiao
We consider several hill-climbing approaches to clustering as formulated by Fukunaga and Hostetler in the 1970's. We study both continuous-space and discrete-space (i.e., medoid) v…
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…
Extremes of locally stationary Gaussian and chi fields on manifolds
Wanli Qiao
Depending on a parameter , let , be a class of centered Gaussian fields indexed by compact manifolds .…
Asymptotic Confidence Regions for Density Ridges
Wanli Qiao
We develop large sample theory including nonparametric confidence regions for -dimensional ridges of probability density functions on , where . We view…
Nonparametric Confidence Regions for Level Sets: Statistical Properties and Geometry
Wanli Qiao, Wolfgang Polonik
This paper studies and critically discusses the construction of nonparametric confidence regions for density level sets. Methodologies based on both vertical variation and horizont…