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09/06/2023
Euler Characteristics and Homotopy Types of Definable Sublevel Sets
Given a continuous definable function f: S →ℝ on a definable set S, we s...
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08/28/2023
Statistical Inference on Grayscale Images via the Euler-Radon Transform
Tools from topological data analysis have been widely used to represent ...
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08/12/2023
Hypothesis testing for medical imaging analysis via the smooth Euler characteristic transform
Shape-valued data are of interest in applied sciences, particularly in m...
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04/27/2022
Randomness and Statistical Inference of Shapes via the Smooth Euler Characteristic Transform
In this paper, we provide the mathematical foundations for the randomnes...
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02/24/2021
Population-level Task-evoked Functional Connectivity
Functional magnetic resonance imaging (fMRI) is a non-invasive, in-vivo ...
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11/17/2017