Mathematical Principles of Topological and Geometric Data Analysis

by Juergen Jost, Parvaneh Joharinad, Jürgen Jost

This book explores and demonstrates how geometric tools can be used in data analysis. Beginning with a systematic exposition of the mathematical prerequisites, covering topics ranging from category theory to algebraic topology, Riemannian geometry, operator theory and network analysis, it goes on to describe and analyze some of the most important machine learning techniques for dimension reduction, including the different types of manifold learning...

• Format: Hardcover
• Language: English
• ISBN: 3031334396
• ISBN13: 9783031334399
• Release Date: July 2023
• Publisher: Springer
• Length: 281 Pages
• Weight: 1.40 lbs.
• Dimensions: 0.8" x 6.1" x 9.3"