# Affine-Invariant Midrange Statistics

arXiv: https://arxiv.org/abs/2206.13766 · HTML: https://mlsanity.com/paper/2206.13766/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 28 Jun 2022.

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

- [Differential geometry with extreme eigenvalues in the positive semidefinite cone](https://mlsanity.com/paper/2304.07347/) (2023)

## Abstract (arXiv)

We formulate and discuss the affine-invariant matrix midrange problem on the cone of n× n positive definite Hermitian matrices mathbbP(n), which is based on the Thompson metric. A particular computationally efficient midpoint of this metric is investigated as a highly scalable candidate for an average of two positive definite matrices within this context, before studying the N-point problem in the vector and matrix settings.