# Frontiers of sphere recognition in practice

arXiv: https://arxiv.org/abs/1405.3848 · HTML: https://mlsanity.com/paper/1405.3848/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 May 2014.

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

- [Topology Estimation of Simulated 4D Image Data by Combining Downscaling and Convolutional Neural Networks](https://mlsanity.com/paper/2306.14442/) (2023)

## Abstract (arXiv)

Sphere recognition is known to be undecidable in dimensions five and beyond, and no polynomial time method is known in dimensions three and four. Here we report on positive and negative computational results with the goal to explore the limits of sphere recognition from a practical point of view. An important ingredient are randomly constructed discrete Morse functions.