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math.AT2022
Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values
Asilata Bapat, Robyn Brooks, Celia Hacker +3
The exact computation of the matching distance for multi-parameter persistence modules is an active area of research in computational topology. Achieving an easily obtainable exact…
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…