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 ...

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) ...

Persistence diagram obtained from the structure of amorphous silicon, examples of the local ring structures corresponding to each point in the diagram, and representative structures including atoms ...

In forecasting economic time series, statistical models often need to be complemented with a process to impose various constraints in a smooth manner. Systematically imposing constraints and retaining ...