6 citations · 17 across the 7 of their papers we have counts for
8 papers
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…
Stability of persistence spaces of vector-valued continuous functions
Andrea Cerri, Claudia Landi
Multidimensional persistence modules do not admit a concise representation analogous to that provided by persistence diagrams for real-valued functions. However, there is no obstru…
Invariance properties of the multidimensional matching distance in Persistent Topology and Homology
Andrea Cerri, Patrizio Frosini
Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising information…
Multidimensional persistent homology is stable
Andrea Cerri, Barbara Di Fabio, Massimo Ferri +2
Multidimensional persistence studies topological features of shapes by analyzing the lower level sets of vector-valued functions. The rank invariant completely determines the multi…
Optimal homeomorphisms between closed curves
Andrea Cerri, Barbara Di Fabio
The concept of natural pseudo-distance has proven to be a powerful tool for measuring the dissimilarity between topological spaces endowed with continuous real-valued functions. Ro…