3 papers
cs.LG2026
A library for differentiable signal processing and machine learning on the sphere
Thorsten Kurth, Max Rietmann, Mauro Bisson +6
The two-dimensional sphere embedded in three-dimensional Euclidean space S2, plays a central role in a variety of scientific and engineering domains, including geophysics, planetar…
cs.LG2025
Attention on the Sphere
Boris Bonev, Max Rietmann, Andrea Paris +2
We introduce a generalized attention mechanism for spherical domains, enabling Transformer architectures to natively process data defined on the two-dimensional sphere - a critical…
math.NA2025
A high order multigrid-preconditioned immersed interface solver for the Poisson equation with boundary and interface conditions
James Gabbard, Andrea Paris, Wim M. van Rees
This work presents a multigrid preconditioned high order immersed finite difference solver to accurately and efficiently solve the Poisson equation on complex 2D and 3D domains. Th…