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10/19/2022
A Flexible Approach for Normal Approximation of Geometric and Topological Statistics
We derive normal approximation results for a class of stabilizing functi...
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01/18/2022
Antimodes and Graphical Anomaly Exploration via Depth Quantile Functions
Depth quantile functions (DQF) encode geometric information about a poin...
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10/26/2021
Topologically penalized regression on manifolds
We study a regression problem on a compact manifold M. In order to take ...
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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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03/26/2021
Testing For a Parametric Baseline-Intensity in Dynamic Interaction Networks
In statistical network analysis it is common to observe so called intera...
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05/15/2020
On approximation theorems for the Euler characteristic with applications to the bootstrap
We study approximation theorems for the Euler characteristic of the Viet...
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05/04/2020
Bootstrapping Persistent Betti Numbers and Other Stabilizing Statistics
The present contribution investigates multivariate bootstrap procedures ...
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12/16/2019
High Order Adjusted Block-wise Empirical Likelihood For Weakly Dependent Data
The upper limit on the coverage probability of the empirical likelihood ...
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03/08/2019
On the asymptotic normality of persistent Betti numbers
Persistent Betti numbers are a major tool in persistent homology, a subf...
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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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11/26/2018
Multiscale geometric feature extraction for high-dimensional and non-Euclidean data with application
A method for extracting multiscale geometric features from a data cloud ...
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11/16/2017