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math.AT2022★ 1 cited
Data, geometry and homology
Jens Agerberg, Wojciech Chacholski, Ryan Ramanujam
Homology-based invariants can be used to characterize the geometry of datasets and thereby gain some understanding of the processes generating those datasets. In this work we inves…
math.AT2015★ 29 cited
Multidimensional Persistence and Noise
Martina Scolamiero, Wojciech Chachólski, Anders Lundman +2
In this paper we study multidimensional persistence modules [5,13] via what we call tame functors and noise systems. A noise system leads to a pseudo-metric topology on the categor…