Morse theory in topological data analysis

Details Morse theory in topological data analysis Morse theory in topological data analysis

2011-12-09

arxiv.org/abs/1112.1993v1

Mathematics

General Topology

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Morse theory in topological data analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Morse theory in topological data analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Morse theory in topological data analysis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-43270