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math.AT2022
Morse Theoretic Signal Compression and Reconstruction on Chain Complexes
Stefania Ebli, Celia Hacker, Kelly Maggs
At the intersection of Topological Data Analysis (TDA) and machine learning, the field of cellular signal processing has advanced rapidly in recent years. In this context, each sig…
math.AT2020
Morse-based Fibering of the Persistence Rank Invariant
Asilata Bapat, Robyn Brooks, Celia Hacker +2
Although there is no doubt that multi-parameter persistent homology is a useful tool to analyse multi-variate data, efficient ways to compute these modules are still lacking in the…