3 papers
math.DG2026
The Geometry of Cochains on Sampled Vietoris-Rips Complexes
Darrick Lee, Kelly Maggs
We study the geometry of simplicial cochains on Vietoris-Rips complexes built from i.i.d. samples of a compact embedded manifold. By integrating differential forms over affine simp…
cs.LG2026
Neural Point-Forms
Bruno Trentini, Jacob Hume, Vincenzo Antonio Isoldi +3
Point cloud learning often rests on the premise that observed samples are noisy traces of an underlying geometric object, such as a manifold embedded in a high-dimensional feature…
math.AT2025
Interval-sphere model structures
Kathryn Hess, Samuel Lavenir, Kelly Maggs
The bedrock of persistence theory over a single parameter is decomposition of persistence modules into intervals. In [HLM24], the authors leveraged interval decomposition to produc…