60 citations · 88 across the 15 of their papers we have counts for
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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…
math.CO2020★ 60 cited
Persistent Laplacians: properties, algorithms and implications
Facundo Mémoli, Zhengchao Wan, Yusu Wang
We present a thorough study of the theoretical properties and devise efficient algorithms for the \emph{persistent Laplacian}, an extension of the standard combinatorial Laplacian…