Search Results for author: Wanli Qiao

Found 6 papers, 0 papers with code

Embedding Functional Data: Multidimensional Scaling and Manifold Learning

no code implementations30 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.

Dimensionality Reduction

Clustering by Hill-Climbing: Consistency Results

no code implementations18 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.

Clustering

An Asymptotic Equivalence between the Mean-Shift Algorithm and the Cluster Tree

no code implementations19 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.

Clustering

Moving Up the Cluster Tree with the Gradient Flow

no code implementations17 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.

Clustering

Algorithms for ridge estimation with convergence guarantees

no code implementations26 Apr 2021 Wanli Qiao, Wolfgang Polonik

The extraction of filamentary structure from a point cloud is discussed.

Space Partitioning and Regression Mode Seeking via a Mean-Shift-Inspired Algorithm

no code implementations20 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.

regression

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