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math.CO2023
Grassmannian Persistence Diagrams
Aziz Burak Gülen, Facundo Mémoli, Zhengchao Wan
We introduce Orthogonal Möbius Inversion , a concept analogous to Möbius inversion on finite posets, which is applicable to order-preservings functions from a finite p…
math.CO2023
A generalization of the persistent Laplacian to simplicial maps
Aziz Burak Gülen, Facundo Mémoli, Zhengchao Wan +1
The graph Laplacian is a fundamental object in the analysis of and optimization on graphs. This operator can be extended to a simplicial complex and therefore offers a way to p…