Representing fields without correspondences: the lifted Euler characteristic transform-Reference-Cited by-同舟云学术

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Representing fields without correspondences: the lifted Euler characteristic transform

Published:2023-08-04 Issue: Volume: Page:
ISSN:2367-1726
Container-title:Journal of Applied and Computational Topology
language:en
Short-container-title:J Appl. and Comput. Topology

Author:

Kirveslahti Henry,Mukherjee Sayan

Funder

Human Frontier Science Program

Directorate for Mathematical and Physical Sciences

Directorate for Social, Behavioral and Economic Sciences

Directorate for Biological Sciences

National Science Foundation

North Carolina Biotechnology Center

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1007/s41468-023-00133-w.pdf

Reference18 articles.

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2. Baryshnikov, Y., Ghrist, R.: Euler integration over definable functions. Proc. Natl. Acad. Sci. 107(21), 9525–9530 (2010). https://doi.org/10.1073/pnas.0910927107

3. Bestvina, M., Brady, N.: Morse theory and finiteness properties of groups. Invent. Math. 129, 445–470 (1997)

4. Boyer, D., Puente, J., Gladman, J., Glynn, C., Mukherjee, S., Yapuncich, G., Daubechies, I.: A new fully automated approach for aligning and comparing shapes. Anatom. Record (Hoboken, N.J.: 2007) 298, 249–76, 01 (2015). https://doi.org/10.1002/ar.23084

5. Crawford, L., Monod, A., Chen, A.X., Mukherjee, S., Rabadán, R.: Predicting clinical outcomes in glioblastoma: an application of topological and functional data analysis. J. Am. Stat. Assoc. 115(531), 1139–1150 (2020). https://doi.org/10.1080/01621459.2019.1671198

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1. Randomness of Shapes and Statistical Inference on Shapes via the Smooth Euler Characteristic Transform;Journal of the American Statistical Association;2024-05-31

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