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07/07/2023
Hill estimator and extreme quantile estimator for functionals of approximated stochastic processes
We study the effect of approximation errors in assessing the extreme beh...
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12/31/2022
Exploring Singularities in point clouds with the graph Laplacian: An explicit approach
We develop theory and methods that use the graph Laplacian to analyze th...
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11/04/2022
Concentration inequalities for leave-one-out cross validation
In this article we prove that estimator stability is enough to show that...
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04/21/2021
Deep limits and cut-off phenomena for neural networks
We consider dynamical and geometrical aspects of deep learning. For many...
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01/18/2021
Uncertainty-Aware Body Composition Analysis with Deep Regression Ensembles on UK Biobank MRI
Purpose: To enable fast and automated analysis of body composition from ...
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12/15/2020
Approximation of BV functions by neural networks: A regularity theory approach
In this paper we are concerned with the approximation of functions by si...
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06/28/2019