2 citations · 4 across the 3 of their papers we have counts for
4 papers
Geometry of the matching distance for 2D filtering functions
Marc Ethier, Patrizio Frosini, Nicola Quercioli +1
In this paper we exploit the concept of extended Pareto grid to study the geometric properties of the matching distance for -valued regular functions defined on a Rie…
On the geometrical properties of the coherent matching distance in 2D persistent homology
Andrea Cerri, Marc Ethier, Patrizio Frosini
In this paper we study a new metric for comparing Betti numbers functions in bidimensional persistent homology, based on coherent matchings, i.e. families of matchings that vary in…
The coherent matching distance in 2D persistent homology
Andrea Cerri, Marc Ethier, Patrizio Frosini
Comparison between multidimensional persistent Betti numbers is often based on the multidimensional matching distance. While this metric is rather simple to define and compute by c…
Comparison of Persistent Homologies for Vector Functions: from continuous to discrete and back
Niccolò Cavazza, Marc Ethier, Patrizio Frosini +2
The theory of multidimensional persistent homology was initially developed in the discrete setting, and involved the study of simplicial complexes filtered through an ordering of t…