The following sample code creates two synthetic datasets, and calculates and visualizes their persistent homology to showcase the use of TDAstats. Calculation of persistent homology: the C++ Ripser ...
Supreme Court revives GOP congressman's challenge to late-arriving mail ballot law Actor Kiefer Sutherland arrested in Hollywood—what we know Russia's 'massive' losses in Ukraine have it heading ...
Introduction: Understanding the role of various brain regions of interest (ROIs) in various cognitive functions or tasks, across healthy or neurodegenerative conditions and multiple degrees of ...
This repository contains the implementation of topological data analysis (TDA) methods for detecting adversarial examples in deep learning models, particularly focusing on Vision-Language models like ...
We study the geometric decomposition of the (reduced) Persistent Homology Transform (PHT). We focus on two special classes of objects, star shapes and cutouts. We prove that the PHT_0 of the former ...
Abstract: Topological Data Analysis (TDA) provides a suite of tools that extract shape-based features from high-dimensional data, with applications to modern statistical and machine learning (ML) ...
Why do glass and other amorphous materials deform more easily in some regions than in others? A research team from the University of Osaka, the National Institute of Advanced Industrial Science and ...
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