# Minimal angle spread in the probability simplex with respect to the uniform distribution

arXiv: https://arxiv.org/abs/2105.08653 · HTML: https://mlsanity.com/paper/2105.08653/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 18 May 2021.

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

- [Explaining Human Choice Probabilities with Simple Vector Representations](https://mlsanity.com/paper/2511.03643/) (2025)
- [Detecting Hallucination in LLMs: Tracing the Topological Signatures of Impaired Context Sharing](https://mlsanity.com/paper/2609.21096/) (2026)

## Abstract (arXiv)

We compute the minimal angle spread with respect to the uniform distribution in the probability simplex. The resulting optimization problem is analytically solved. The formula provided shows that the minimal angle spread approaches zero as the dimension tends to infinity. We also discuss an application in cognitive science.