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cs.CG2021
Algorithmic Reconstruction of the Fiber of Persistent Homology on Cell Complexes
Jacob Leygonie, Gregory Henselman-Petrusek
Let be a finite simplicial, cubical, delta or CW complex. The persistence map takes a filter as input and returns the barcodes $\math…
cs.CG2021
A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis
Jacob Leygonie, Mathieu Carrière, Théo Lacombe +1
We introduce a novel gradient descent algorithm extending the well-known Gradient Sampling methodology to the class of stratifiably smooth objective functions, which are defined as…