ALBATROSS: Cheap Filtration Based Geometry via Stochastic Sub-Sampling
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909769284976640 |
|---|---|
| author | Stier, Andrew J. Shi, Naichen Kontar, Raed Al Giusti, Chad Berman, Marc G. |
| author_facet | Stier, Andrew J. Shi, Naichen Kontar, Raed Al Giusti, Chad Berman, Marc G. |
| contents | Topological data analysis (TDA) detects geometric structure in biological data. However, many TDA algorithms are memory intensive and impractical for massive datasets. Here, we introduce a statistical protocol that reduces TDA's memory requirements and gives access to scientists with modest computing resources. We validate this protocol against two empirical datasets, showing that it replicates previous findings with much lower memory requirements. Finally, we demonstrate the power of the protocol by mapping the topology of functional correlations for the human cortex at high spatial resolution, something that was previously infeasible without this novel approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03681 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | ALBATROSS: Cheap Filtration Based Geometry via Stochastic Sub-Sampling Stier, Andrew J. Shi, Naichen Kontar, Raed Al Giusti, Chad Berman, Marc G. Quantitative Methods Topological data analysis (TDA) detects geometric structure in biological data. However, many TDA algorithms are memory intensive and impractical for massive datasets. Here, we introduce a statistical protocol that reduces TDA's memory requirements and gives access to scientists with modest computing resources. We validate this protocol against two empirical datasets, showing that it replicates previous findings with much lower memory requirements. Finally, we demonstrate the power of the protocol by mapping the topology of functional correlations for the human cortex at high spatial resolution, something that was previously infeasible without this novel approach. |
| title | ALBATROSS: Cheap Filtration Based Geometry via Stochastic Sub-Sampling |
| topic | Quantitative Methods |
| url | https://arxiv.org/abs/2509.03681 |