41 citations · 84 across the 7 of their papers we have counts for
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math.AT2018★ 27 cited
Spatio-temporal Persistent Homology for Dynamic Metric Spaces
Woojin Kim, Facundo Memoli
Characterizing the dynamics of time-evolving data within the framework of topological data analysis (TDA) has been attracting increasingly more attention. Popular instances of time…
math.AT2018★ 41 cited
Generalized Persistence Diagrams for Persistence Modules over Posets
Woojin Kim, Facundo Memoli
When a category satisfies certain conditions, we define the notion of rank invariant for arbitrary poset-indexed functors from…