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math.MG2021★ 4 cited
The Persistent Topology of Optimal Transport Based Metric Thickenings
Henry Adams, Facundo Mémoli, Michael Moy +1
A metric thickening of a given metric space is any metric space admitting an isometric embedding of . Thickenings have found use in applications of topology to data analysis…
math.AT2021
Topology Applied to Machine Learning: From Global to Local
Henry Adams, Michael Moy
Through the use of examples, we explain one way in which applied topology has evolved since the birth of persistent homology in the early 2000s. The first applications of topology…