60 citations · 292 across the 26 of their papers we have counts for
5 papers · 1 filter
A Graph-Matching Formulation of the Interleaving Distance between Merge Trees
Matteo Pegoraro
In this work we study the interleaving distance between merge trees from a combinatorial point of view. We use a particular type of matching between trees to obtain a novel formula…
A Finitely Stable Edit Distance for Merge Trees
Matteo Pegoraro
In this paper we define a novel edit distance for merge trees, which we argue to be suitable for a good range of applications. Relying also on some technical results contained in o…
Functional Data Representation with Merge Trees
Matteo Pegoraro, Piercesare Secchi
In this paper we face the problem of representation of functional data with the tools of algebraic topology. We represent functions by means of merge trees, which, like the more co…
A Finitely Stable Edit Distance for Functions Defined on Merge Trees
Matteo Pegoraro
In this work we define a metric structure to compare functions defined on different merge trees. The metric introduced possesses some stability properties, which we illustrate with…
Projected Statistical Methods for Distributional Data on the Real Line with the Wasserstein Metric
Matteo Pegoraro, Mario Beraha
We present a novel class of projected methods, to perform statistical analysis on a data set of probability distributions on the real line, with the 2-Wasserstein metric. We focus…