# k-means on Positive Definite Matrices, and an Application to Clustering in Radar Image Sequences

arXiv: https://arxiv.org/abs/2008.03454 · HTML: https://mlsanity.com/paper/2008.03454/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Aug 2020.

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

- [K-Tensors: Clustering Positive Semi-Definite Matrices](https://mlsanity.com/paper/2306.06534/) (2023)

## Abstract (arXiv)

We state theoretical properties for k-means clustering of Symmetric Positive Definite (SPD) matrices, in a non-Euclidean space, that provides a natural and favourable representation of these data. We then provide a novel application for this method, to time-series clustering of pixels in a sequence of Synthetic Aperture Radar images, via their finite-lag autocovariance matrices.