An algebraic geometry perspective on topological data analysis
Paul Breiding
TL;DR
This paper surveys how algebraic geometry techniques are applied to topological data analysis, highlighting the mathematical tools used to analyze complex data structures.
Contribution
It provides an overview of the integration of algebraic geometry methods into topological data analysis, emphasizing recent developments.
Findings
Algebraic geometry offers valuable tools for TDA
Enhanced understanding of data topology through algebraic methods
Potential for new algorithms in data analysis
Abstract
A short survey on applications of algebraic geometry in topological data analysis.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Digital Image Processing Techniques