The Information Geometry of UMAP

Fuente: arXiv
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Auteurs principaux: Kolpakov, Alexander, Rocke, Aidan
Format: Preprint
Publié: 2023
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author Kolpakov, Alexander
Rocke, Aidan
author_facet Kolpakov, Alexander
Rocke, Aidan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2309_01237
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The Information Geometry of UMAP
Kolpakov, Alexander
Rocke, Aidan
Computational Geometry
Discrete Mathematics
Information Theory
Geometric Topology
53B12, 94A15
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.
title The Information Geometry of UMAP
topic Computational Geometry
Discrete Mathematics
Information Theory
Geometric Topology
53B12, 94A15
url https://arxiv.org/abs/2309.01237