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06/20/2023
Convergence of Empirical Optimal Transport in Unbounded Settings
In compact settings, the convergence rate of the empirical optimal trans...
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05/16/2022
From Small Scales to Large Scales: Distance-to-Measure Density based Geometric Analysis of Complex Data
How can we tell complex point clouds with different small scale characte...
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02/25/2022
A Unifying Approach to Distributional Limits for Empirical Optimal Transport
We provide a unifying approach to central limit type theorems for empiri...
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02/21/2022
Empirical Optimal Transport between Different Measures Adapts to Lower Complexity
The empirical optimal transport (OT) cost between two probability measur...
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05/05/2021
Transport Dependency: Optimal Transport Based Dependency Measures
Finding meaningful ways to determine the dependency between two random v...
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03/24/2019
Statistical Molecule Counting in Super-Resolution Fluorescence Microscopy: Towards Quantitative Nanoscopy
Super-resolution microscopy is rapidly gaining importance as an analytic...
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09/07/2018
Posterior Consistency in the Binomial (n,p) Model with Unknown n and p: A Numerical Study
Estimating the parameters from k independent Bin(n,p) random variables, ...
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09/07/2018