6 citations · 8 across the 3 of their papers we have counts for
4 papers · 1 filter
Tracking the variety of interleavings
Ojaswi Acharya, Stella Li, David Meyer +1
In topological data analysis persistence modules are used to distinguish the legitimate topological features of a finite data set from noise. Interleavings between persistence modu…
Persistence and Stability of the Quiver
Killian Meehan, David C. Meyer
We introduce two new distances for zigzag persistence modules. The first uses Auslander-Reiten quiver theory, and the second is an extension of the classical interleaving distance.…
Interleaving Distance as a Limit
Killian Meehan, David Meyer
Persistent homology is a way of determining the topological properties of a data set. It is well known that each persistence module admits the structure of a representation of a fi…
An Isometry Theorem for Generalized Persistence Modules
Killian Meehan, David Meyer
In recent work, generalized persistence modules have proved useful in distinguishing noise from the legitimate topological features of a data set. Algebraically, generalized persis…