Nudged elastic band in topological data analysis
KeywordsTopological data analysis, nudged elastic band, Morse theory
AbstractWe use the nudged elastic band method from computational chemistry to analyze high-dimensional data. Our approach is inspired by Morse theory, and as output we produce an increasing sequence of small cell complexes modeling the dense regions of the data. We test the method on data sets arising in social networks and in image processing. Furthermore, we apply the method to identify new topological structure in a data set of optical flow patches.
How to Cite
ATANASOV, Atanas, CARLSSON, Gunnar & ADAMS, Henry. Nudged elastic band in topological data analysis. Topological Methods in Nonlinear Analysis [online]. 1 March 2015, T. 45, nr 1, s. 247–272. [accessed 30.3.2023]. DOI 10.12775/TMNA.2015.013.
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