Towards stratified space learning: 2-complexes
Bleile Y. 2026. Towards stratified space learning: 2-complexes. La Matematica. 5, 17.
Download
Journal Article
| Published
| English
Scopus indexed
Author
Corresponding author has ISTA affiliation
Department
Abstract
<jats:title>Abstract</jats:title>
<jats:p>In this paper, we consider a simple class of stratified spaces – 2-complexes. We present an algorithm that learns the abstract structure of an embedded 2-complex from a point cloud sampled from it. We use tools and inspiration from computational geometry, algebraic topology, and topological data analysis and prove the correctness of the identified abstract structure under assumptions on the embedding.</jats:p>
Publishing Year
Date Published
2026-02-08
Journal Title
La Matematica
Publisher
Springer Nature
Acknowledgement
The author would like to thank Kate Turner, Chris Williams, Jonathan Spreer, Stephan Tillmann, Vanessa Robins, Vigleik Angeltveit, Martin Helmer, and James Morgan for very helpful discussions; and thanks Sara Kališnik Hintz and Paul Bendich for comments on an earlier version. Additonally, the author would like to thank both reviewers for their very insightful and helpful comments, without which the paper would be infinitely less coherent than it currently is. Open access funding provided by Institute of Science and Technology (IST Austria). The work in this paper was supported by an Australian Federal Government Grant, 2019-2022, Stratified Space Learning.
Volume
5
Article Number
17
ISSN
IST-REx-ID
Cite this
Bleile Y. Towards stratified space learning: 2-complexes. La Matematica. 2026;5. doi:10.1007/s44007-025-00183-9
Bleile, Y. (2026). Towards stratified space learning: 2-complexes. La Matematica. Springer Nature. https://doi.org/10.1007/s44007-025-00183-9
Bleile, Yossi. “Towards Stratified Space Learning: 2-Complexes.” La Matematica. Springer Nature, 2026. https://doi.org/10.1007/s44007-025-00183-9.
Y. Bleile, “Towards stratified space learning: 2-complexes,” La Matematica, vol. 5. Springer Nature, 2026.
Bleile Y. 2026. Towards stratified space learning: 2-complexes. La Matematica. 5, 17.
Bleile, Yossi. “Towards Stratified Space Learning: 2-Complexes.” La Matematica, vol. 5, 17, Springer Nature, 2026, doi:10.1007/s44007-025-00183-9.
All files available under the following license(s):
Creative Commons Attribution 4.0 International Public License (CC-BY 4.0):
Main File(s)
File Name
2026_LaMatematica_Bleile.pdf
15.05 MB
Access Level
Open Access
Date Uploaded
2026-02-23
MD5 Checksum
6cae2efb47b025af22a8539c606a4e09
Export
Marked PublicationsOpen Data ISTA Research Explorer
Sources
arXiv 2305.02724
Google Scholar