# Topological Data Analysis of Spatial Systems

arXiv: https://arxiv.org/abs/2104.00720 · HTML: https://mlsanity.com/paper/2104.00720/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 1 Apr 2021.

## Built on by (most cited first, 1 of 1)

- [Early Detection of COVID-19 Hotspots Using Spatio-Temporal Data](https://mlsanity.com/paper/2106.00072/) (2021)

## Abstract (arXiv)

In this chapter, we discuss applications of topological data analysis (TDA) to spatial systems. We briefly review the recently proposed level-set construction of filtered simplicial complexes, and we then examine persistent homology in two cases studies: street networks in Shanghai and hotspots of COVID-19 infections. We then summarize our results and provide an outlook on TDA in spatial systems.