The Information Geometry of UMAP
Computational Geometry
2024-12-05 v8 Discrete Mathematics
Information Theory
Geometric Topology
math.IT
Abstract
In this note we highlight some connections of UMAP to the basic principles of Information Geometry. Originally, UMAP was derived from Category Theory observations. However, we posit that it also has a natural geometric interpretation.
Keywords
Cite
@article{arxiv.2309.01237,
title = {The Information Geometry of UMAP},
author = {Alexander Kolpakov and Aidan Rocke},
journal= {arXiv preprint arXiv:2309.01237},
year = {2024}
}
Comments
12 pages, 2 figures, 3 tables ; Github repo (https://github.com/sashakolpakov/info-geometry-umap) ; to appear in Le Matematiche