Monodromy in Multidimensional Persistence, or How Points Switch Place [Marc Ethier]
Автор: Applied Algebraic Topology Network
Загружено: 2021-11-16
Просмотров: 394
Описание:
Persistent homology is a useful tool in Topological Data Analysis, and multidimensional persistence has the potential to even further increase its power. This approach to multidimensional persistence reduces it to a parametrized family of one-dimensional filtrations, each with its persistence diagram, but in doing so makes apparent the phenomenon of monodromy, or how points in persistence diagrams can swap their positions.
Our article: Cerri, A., Ethier, M., Frosini, P. (2019). On the geometrical properties of the coherent matching distance in 2D persistent homology. Journal of Applied and Computational Topology, 3, 381-422. https://doi.org/10.1007/s41468-019-00...
This video is part of the Fall 2021 Tutorial-a-thon hosted by AATRN and WinCompTop https://sites.google.com/view/aatrn-t...
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