# A Note on Small Percolating Sets on Hypercubes via Generative AI

arXiv: https://arxiv.org/abs/2411.19734 · HTML: https://mlsanity.com/paper/2411.19734/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- Builds on 1 of its 13 references that are in the map.
- First posted on arXiv 29 Nov 2024.

## Builds on (most cited first, 1 of 1)

- [PatternBoost: Constructions in Mathematics with a Little Help from AI](https://mlsanity.com/paper/2411.00566/) (2024)

## Built on by (most cited first, 2 of 2)

- [Formal Mathematical Reasoning: A New Frontier in AI](https://mlsanity.com/paper/2412.16075/) (2024)
- [Flow-based Extremal Mathematical Structure Discovery](https://mlsanity.com/paper/2601.18005/) (2026)

## Abstract (arXiv)

We apply a generative AI pattern-recognition technique called PatternBoost to study bootstrap percolation on hypercubes. With this, we slightly improve the best existing upper bound for the size of percolating subsets of the hypercube.