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...

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Hauptverfasser:	Barth, Lukas Silvester, Fahimi, Hannaneh, Joharinad, Parvaneh, Jost, Jürgen, Keck, Janis
Format:	E-Book
Sprache:	Englisch
Veröffentlicht:	Cham Springer Nature 2025
Schriftenreihe:	Mathematics of Data
Schlagworte:	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-Zugang:	Volltext
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