Gaussian Persistence Curves
Computational Geometry
2022-05-24 v1 Algebraic Topology
Abstract
Topological data analysis (TDA) is a rising field in the intersection of mathematics, statistics, and computer science/data science. The cornerstone of TDA is persistent homology, which produces a summary of topological information called a persistence diagram. To utilize machine and deep learning methods on persistence diagrams, These diagrams are further summarized by transforming them into functions. In this paper we investigate the stability and injectivity of a class of smooth, one-dimensional functional summaries called Gaussian persistence curves.
Cite
@article{arxiv.2205.11353,
title = {Gaussian Persistence Curves},
author = {Yu-Min Chung and Michael Hull and Austin Lawson and Neil Pritchard},
journal= {arXiv preprint arXiv:2205.11353},
year = {2022}
}
Comments
19 pages