# Nowhere coexpanding functions

arXiv: https://arxiv.org/abs/2303.12814 · HTML: https://mlsanity.com/paper/2303.12814/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 1 of its 12 references that are in the map.
- First posted on arXiv 22 Mar 2023.

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

- [Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)](https://mlsanity.com/paper/1511.07289/) (2015)

## Abstract (arXiv)

We define a family of C1 functions which we call "nowhere coexpanding functions" that is closed under composition and includes all C3 functions with non-positive Schwarzian derivative. We establish results on the number and nature of the fixed points of these functions, including a generalisation of a classic result of Singer.