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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Hlavní autori:	Barth, Lukas Silvester, Fahimi, Hannaneh, Joharinad, Parvaneh, Jost, Jürgen, Keck, Janis
Médium:	E-kniha
Jazyk:	English
Vydavateľské údaje:	Cham Springer Nature 2025
Edícia:	Mathematics of Data
Predmet:	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
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