# A Note on the Kullback-Leibler Divergence for the von Mises-Fisher distribution

arXiv: https://arxiv.org/abs/1502.07104 · HTML: https://mlsanity.com/paper/1502.07104/

## Key facts

- Cited by 5 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Feb 2015.

## Built on by (most cited first, 5 of 5)

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- [Probabilistic U-Net with Kendall Shape Spaces for Geometry-Aware Segmentations of Images](https://mlsanity.com/paper/2410.14017/) (2024)
- [Learning over von Mises-Fisher Distributions via a Wasserstein-like Geometry](https://mlsanity.com/paper/2504.14164/) (2025)
- [Polaris: Coupled Orbital Polar Embeddings for Hierarchical Concept Learning](https://mlsanity.com/paper/2605.00265/) (2026)

## Abstract (arXiv)

We present a derivation of the Kullback Leibler (KL)-Divergence (also known as Relative Entropy) for the von Mises Fisher (VMF) Distribution in d-dimensions.