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The Information Geometry of UMAP

Authors :
Kolpakov, Alexander
Rocke, Aidan
Publication Year :
2023

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.<br />Comment: 12 pages, 2 figures, 3 tables ; Github repo (https://github.com/sashakolpakov/info-geometry-umap) ; to appear in Le Matematiche

Subjects

Subjects :
Computer Science - Computational Geometry
Computer Science - Discrete Mathematics
Computer Science - Information Theory
Mathematics - Geometric Topology
53B12, 94A15

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2309.01237
Document Type :
Working Paper

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