Morse theory in topological data analysis
Year: 2011
Type: preprint
Abstract: . We introduce a method for analyzing high-dimensional data. Our approach is inspired by Morse theory and uses the nudged elastic band method from computational chemistry. As output, we produce an increasing sequence of cell complexes modeling the dense regions of the data. We test the method on several data sets and obtain small cell complexes revealing informative topological structure.
Source: arXiv (Cornell University)
Authors: Henry Adams, Atanas Atanasov, Gunnar Carlsson
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2779437156