Path representations in multiparameter persistent homology
Algebraic Topology
2025-08-01 v1
Abstract
Multiparameter persistence module can capture more topological differences across data instances compared to using a single parameter, where the well-studied matching distance investigates the distance along a straight line in the multiparameter space that gives the biggest difference. We propose to generalize the straight line to a monotone path filtration and offer software implementations.
Keywords
Cite
@article{arxiv.2507.23762,
title = {Path representations in multiparameter persistent homology},
author = {Xudong Sun and René Corbet and Carsten Marr},
journal= {arXiv preprint arXiv:2507.23762},
year = {2025}
}