# Persistent topology for natural data analysis - A survey

## TL;DR

This survey reviews persistent topology methods and their diverse applications in analyzing complex natural data such as biological, geological, astronomical, and linguistic datasets.

## Contribution

It provides a comprehensive overview of persistent topology techniques and showcases their versatility across multiple scientific domains.

## Key findings

- Persistent topology effectively analyzes complex natural data.
- Applications include classification of biological and geological data.
- The survey highlights the broad utility of topological methods.

## Abstract

Natural data offer a hard challenge to data analysis. One set of tools is being developed by several teams to face this difficult task: Persistent topology. After a brief introduction to this theory, some applications to the analysis and classification of cells, lesions, music pieces, gait, oil and gas reservoirs, cyclones, galaxies, bones, brain connections, languages, handwritten and gestured letters are shown.