4 papers · 1 filter
SuPerPoV: Score and evolution of the stratospheric polar vortex via persistent homology
Jake Cordes, Barbara Giunti, Zheng Wu
Classifying the stratospheric polar vortex provides predictability for surface weather on extended-range timescales. However, providing a scientifically sound classification is cha…
Expected Complexity of Persistence Barcode Computation via Matrix Reduction
Barbara Giunti, Guillaume Houry, Michael Kerber +1
We study the algorithmic complexity of computing the persistence barcode of a randomly generated filtration. We provide a general technique to bound the expected complexity of redu…
Decomposing the Persistent Homology Transform of Star-Shaped Objects
Shreya Arya, Barbara Giunti, Abigail Hickok +3
In this paper, we study the geometric decomposition of the degree- Persistent Homology Transform (PHT) as viewed as a persistence diagram bundle. We focus on star-shaped objects…
Amplitudes in persistence theory
Barbara Giunti, John S. Nolan, Nina Otter +1
The use of persistent homology in applications is justified by the validity of certain stability results. At the core of such results is a notion of distance between the invariants…