1 citations · 3 across the 7 of their papers we have counts for
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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…
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…
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…
Nonparametric Estimation of Surface Integrals on Level Sets
Wanli Qiao
Surface integrals on density level sets often appear in asymptotic results in nonparametric level set estimation (such as for confidence regions and bandwidth selection). Also surf…