Publications

NEW! (#8)
Topology can improve neural network training! (with Arnur Nigmetov, Aditi Krishnapriyan, Dimitriy Morozov)

Topological regularization via persistence-sensitive optimization
Computational Geometry , Vol.120, 102086, 2024.
arXiv link and pdf

Preprint/Submitted:

Stay tuned!

Published/Accepted:

8. A. Nigmetov, A. Krishnapriyan, N. Sanderson, D. Morozov. Topological regularization via persistence-sensitive optimization. Computational Geometry , Vol.120, 102086, 2024.
arXiv link and pdf

7. D. Egas Santander, S. Ebli, A. Patania, N. Sanderson, F. Burtscher, K. Morrison, C. Curto. Nerve theorems for fixed points of neural networks. E. Gasparovic et al. (eds.): Research in Computational Topology 2, Association for Women in Mathematics Series 30, 2022. pdf

6. R. Belton, R. Brooks, S. Ebli, L. Fajstrup, B.T. Fasy, N. Sanderson, E. Vidaurre. Combinatorial conditions for directed collapsing. E. Gasparovic et al. (eds.): Research in Computational Topology 2, Association for Women in Mathematics Series 30, 2022. pdf

5. A. Torres-Espín et al. Topological network analysis of patient similarity for precision management of acute blood pressure in spinal cord injury. Elife, 10, e68015, 2021. pdf

4. R. Belton, R. Brooks, S. Ebli, L. Fajstrup, B.T. Fasy, C. Ray, N. Sanderson, E. Vidaurre. Toward directed collapsibility. B. Acu et al. (eds.): Advances in Mathematical Sciences , Association for Women in Mathematics Series 21, 2020. pdf

3. N Sanderson, E Shugerman, S Molnar, JD Meiss, E Bradley. Computational topology techniques for characterizing time-series data. Springer International Publishing Advances in Intelligent Data Analysis XVI: 16th International Symposium, IDA 2017, London, UK, October 26–28, 2017, Proceedings 16, 2017. pdf

2. Z Alexander, E Bradley, JD Meiss, NF Sanderson. Simplicial multivalued maps and the witness complex for dynamical analysis of time series. SIAM Journal on applied dynamical systems, 14 (3), 1278-1307, 2015. pdf

1. J Blankstein, S Kim, C Lepel, S Nelson, N Sanderson. Virtual shadow modules and their link invariants. International Journal of Mathematics , 23 (09), 1250096, 2012. pdf

PhD thesis:

0. N. Sanderson. Topological data analyses of time series using witness complexes. Ph.D. thesis, 2018. pdf
This work resulted in publication #3 above.

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