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Data Visualization with Category Theory and Geometry
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  • Title: Data Visualization with Category Theory and Geometry: With a Critical Analysis and Refinement of UMAP
  • Author(s) Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad, Jürgen Jost, Janis Keck
  • Publisher:Springer (2025); eBook (Creative Commons Licensed)
  • License(s): Creative Commons License (CC)
  • Hardcover/Paperback: 285 pages
  • eBook: PDF and ePub
  • Language: English
  • ISBN-10: 3031979729
  • ISBN-13: 978-3031979729
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Book Description

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.

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