18 citations · 46 across the 10 of their papers we have counts for
3 papers · 1 filter
On the notion of weak isometry for finite metric spaces
Alessandro De Gregorio, Ulderico Fugacci, Facundo Memoli +1
Finite metric spaces are the object of study in many data analysis problems. We examine the concept of weak isometry between finite metric spaces, in order to analyse properties of…
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…
Critical Sets of PL and Discrete Morse Theory: a Correspondence
Ulderico Fugacci, Claudia Landi, Hanife Varlı
Piecewise-linear (PL) Morse theory and discrete Morse theory are used in shape analysis tasks to investigate the topological features of discretized spaces. In spite of their commo…