Code supporting "Comparing R packages for calculation of persistent homology" manuscript

Persistance and barcode diagrams using TDAstats package.

This project includes code and R scripts implementing the author's doctoral thesis research work on the simplicial Hausdorff distance.

Previously epidemiologists have not relied on topological data analysis to model disease spread. Instead, they have used variants of the SIR compartmental model from classic epidemiology theory and stochastic models. This project will hopefully show how topological data analysis can be considered for use as an extra tool in epidemiology.

Maths for Big Data

Hypothesis testing for topological data analysis via the smooth Euler characteristic transform

recipes extension for persistent homology and vectorizations thereof

All code, scripts, and figures for Topological Data Analysis related papers.

uniform samplers from immersed manifolds

procedures to generate landmark sets from finite metric spaces

R package for generating synthetic shapes and images using the α-shape sampler

Randomness of Shapes and Statistical Inference on Shapes via the Smooth Euler Characteristic Transform

R interface & extension to an adapted Persistence Landscapes Toolbox

R code associated with preprint proposing flat persistence diagram for better visualization of persistent homology.

An R package for feature selection in topological spaces.

Code to Implement the Smooth Euler Characteristic Transform (SECT)

A statistical framework for feature selection and association mapping with 3D shapes

R package for computing the Mapper construction from Topological Data Analysis

ggplot2 extension to visualize persistent homology