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math.AT2020
Homological Scaffold via Minimal Homology Bases
Marco Guerra, Alessandro De Gregorio, Ulderico Fugacci +2
The homological scaffold leverages persistent homology to construct a topologically sound summary of a weighted network. However, its crucial dependency on the choice of representa…
math.AT2018
Chunk Reduction for Multi-Parameter Persistent Homology
Ulderico Fugacci, Michael Kerber
The extension of persistent homology to multi-parameter setups is an algorithmic challenge. Since most computation tasks scale badly with the size of the input complex, an importan…