3 papers
math.AT2026
New persistent chain spaces: identifying and computing the relevant persistent Laplacians of a filtration
Joris Kirchner, Martina Vittorietti
Persistent homology (PH) summarizes the topological features of data that persist across scales, but it is insensitive to many geometric properties. Persistent Laplacians (PLs) add…
stat.ME2025
A mover-stayer model with time-dependent stayer fraction
Eni Musta, Martina Vittorietti
Mover-stayer models are used in social sciences and economics to model heterogeneous population dynamics in which some individuals never experience the event of interest ("stayers"…
math.ST2022
Topology-based goodness-of-fit tests for sliced spatial data
Alessandra Cipriani, Christian Hirsch, Martina Vittorietti
In materials science and many other application domains, 3D information can often only be extrapolated by taking 2D slices. In topological data analysis, persistence vineyards have…