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08/30/2022
Embedding Functional Data: Multidimensional Scaling and Manifold Learning
We adapt concepts, methodology, and theory originally developed in the a...
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02/18/2022
Clustering by Hill-Climbing: Consistency Results
We consider several hill-climbing approaches to clustering as formulated...
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11/19/2021
An Asymptotic Equivalence between the Mean-Shift Algorithm and the Cluster Tree
Two important nonparametric approaches to clustering emerged in the 1970...
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09/17/2021
Level Sets or Gradient Lines? A Unifying View of Modal Clustering
The paper establishes a strong correspondence, if not an equivalence, be...
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04/26/2021
Algorithms for ridge estimation with convergence guarantees
The extraction of filamentary structure from a point cloud is discussed....
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04/20/2021
Space Partitioning and Regression Mode Seeking via a Mean-Shift-Inspired Algorithm
The mean shift (MS) algorithm is a nonparametric method used to cluster ...
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04/16/2021
Estimation of the Global Mode of a Density: Minimaxity, Adaptation, and Computational Complexity
We consider the estimation of the global mode of a density under some de...
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04/23/2020
Asymptotic Confidence Regions for Density Ridges
We develop large sample theory including nonparametric confidence region...
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03/04/2019
Nonparametric Confidence Regions for Level Sets: Statistical Properties and Geometry
This paper studies and critically discusses the construction of nonparam...
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04/10/2018