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 ...

Single-cell technologies have revolutionized our ability to interrogate biological systems at unprecedented resolution, revealing complex cellular heterogeneity and dynamic processes that underlie ...

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 ...

String manipulation is a core skill for every Python developer. Whether you’re working with CSV files, log entries, or text analytics, knowing how to split strings in Python makes your code cleaner ...

Multiplication in Python may seem simple at first—just use the * operator—but it actually covers far more than just numbers. You can use * to multiply integers and floats, repeat strings and lists, or ...

In this tutorial, we delve into the creation of an intelligent Python-to-R code converter that integrates Google’s free Gemini API for validation and improvement suggestions. We start by defining the ...