4 papers
Minimal intersection radius for growing, non-homogeneous ellipsoids in
Barbara Giunti, Sean Hill, Felix X. -F. Ye
In this paper, we compute the Minimal Intersection Radius (MIR) of growing, non-homogeneous ellipsoids in arbitrary ambient dimension. We provide a geometric method to find the MIR…
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…
The persistence of painting styles
Reetikaa Reddy Munnangi, Barbara Giunti
Art is a deeply personal and expressive medium, where each artist brings their own style, technique, and cultural background into their work. Traditionally, identifying artistic st…
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…