Data Visualization with Category Theory and Geometry With a Critical Analysis and Refinement of UMAP

This open access book provides a robust exposition of the mathematical foundations of data representation, focusing on two essential pillars of dimensionality reduction methods, namely geometry in general and Riemannian geometry in particular, and category theory. Presenting a list of examples consi...

Full description

Bibliographic Details

Main Authors:	Barth, Lukas Silvester, Fahimi, Hannaneh, Joharinad, Parvaneh, Jost, Jürgen, Keck, Janis
Format:	eBook
Language:	English
Published:	Cham Springer Nature 2025
Series:	Mathematics of Data
Subjects:	Algebra Applied category theory Computer science Computing and Information Technology Data visualization Dimension reduction Mathematical theory of computation Mathematics Mathematics and Science Merging local metrics Metric realization Riemannian geometry Simplicial complexes UMAP
ISBN:	3031979737, 9783031979736, 3031979729, 9783031979729
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!