Wolfgang Polonik

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University of California-Davis

Department of Statistics Professor at University of California at Davis

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Topologically penalized regression on manifolds

We study a regression problem on a compact manifold M. In order to take ...
10/26/2021 ∙ by Olympio Hacquard, et al. ∙ 0 ∙ share

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Algorithms for ridge estimation with convergence guarantees

The extraction of filamentary structure from a point cloud is discussed....
04/26/2021 ∙ by Wanli Qiao, et al. ∙ 0 ∙ share

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Testing For a Parametric Baseline-Intensity in Dynamic Interaction Networks

In statistical network analysis it is common to observe so called intera...
03/26/2021 ∙ by Alexander Kreiss, et al. ∙ 0 ∙ share

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On approximation theorems for the Euler characteristic with applications to the bootstrap

We study approximation theorems for the Euler characteristic of the Viet...
05/15/2020 ∙ by Johannes Krebs, et al. ∙ 0 ∙ share

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Bootstrapping Persistent Betti Numbers and Other Stabilizing Statistics

The present contribution investigates multivariate bootstrap procedures ...
05/04/2020 ∙ by Benjamin Roycraft, et al. ∙ 0 ∙ share

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High Order Adjusted Block-wise Empirical Likelihood For Weakly Dependent Data

The upper limit on the coverage probability of the empirical likelihood ...
12/16/2019 ∙ by Guangxing Wang, et al. ∙ 0 ∙ share

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On the asymptotic normality of persistent Betti numbers

Persistent Betti numbers are a major tool in persistent homology, a subf...
03/08/2019 ∙ by Johannes T. N. Krebs, et al. ∙ 0 ∙ share

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Nonparametric Confidence Regions for Level Sets: Statistical Properties and Geometry

This paper studies and critically discusses the construction of nonparam...
03/04/2019 ∙ by Wanli Qiao, et al. ∙ 0 ∙ share

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Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with application

A method for extracting multiscale geometric features from a data cloud ...
11/26/2018 ∙ by Gabriel Chandler, et al. ∙ 0 ∙ share

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Neighborhood selection with application to social networks

The topic of this paper is modeling and analyzing dependence in stochast...
11/16/2017 ∙ by Nana Wang, et al. ∙ 0 ∙ share

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