Topological Data Analysis via Undergraduate Linear Algebra
Abstract
Topological Data Analysis has grown in popularity in recent years as a way to apply tools from algebraic topology to large data sets. One of the main tools in topological data analysis is persistent homology. This paper uses undergraduate linear algebra to provide explicit methods for, and examples of, computing persistent (co)homology.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.17045
- arXiv:
- arXiv:2406.17045
- Bibcode:
- 2024arXiv240617045G
- Keywords:
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- Mathematics - Algebraic Topology;
- Mathematics - Statistics Theory;
- 62R40