Simplification of complexes for persistent homology computations
Geometric Topology
2013-05-01 v1
Abstract
In this paper we focus on preprocessing for persistent homology computations. We adapt some techniques which were successfully used for standard homology computations. The main idea is to reduce the complex prior to generating its boundary matrix, which is costly to store and process. We discuss the following reduction methods: elementary collapses, coreductions (as defined by Mrozek and Batko) and acyclic subspace method (introduced by Mrozek, Pilarczyk and \.Zelazna).
Keywords
Cite
@article{arxiv.1304.8074,
title = {Simplification of complexes for persistent homology computations},
author = {Paweł Dłotko and Hubert Wagner},
journal= {arXiv preprint arXiv:1304.8074},
year = {2013}
}