Dimension Reduction of Two-Dimensional Persistence via Distance Deformations
Algebraic Topology
2022-07-08 v2 Computational Geometry
Abstract
This article grew out of the application part of my Master's thesis at the Faculty of Mathematics and Information Science at Ruprecht-Karls-Universit\"at Heidelberg under the supervision of PD Dr. Andreas Ott. In the context of time series analyses of RNA virus datasets with persistent homology, this article introduces a new method for reducing two-dimensional persistence to one-dimensional persistence by transforming time information into distances.
Cite
@article{arxiv.2203.00616,
title = {Dimension Reduction of Two-Dimensional Persistence via Distance Deformations},
author = {Maximilian Neumann},
journal= {arXiv preprint arXiv:2203.00616},
year = {2022}
}
Comments
6 pages, 1 figure; license changed