3 papers
cs.LG2026
GRIFDIR: Graph Resolution-Invariant FEM Diffusion Models in Function Spaces over Irregular Domains
James Rowbottom, Elizabeth L. Baker, Nick Huang +3
Score-based diffusion models in infinite-dimensional function spaces provide a mathematically principled framework for modelling function-valued data, offering key advantages such…
math.NA2025
Refinement-based Christoffel sampling for least squares approximation in non-orthogonal bases
Astrid Herremans, Ben Adcock
We introduce a refinement-based Christoffel sampling (RCS) algorithm for least squares approximation in the span of a given, generally non-orthogonal set of functions $Φ_n = \{ϕ_1,…
cs.LG2025
How many measurements are enough? Bayesian recovery in inverse problems with general distributions
Ben Adcock, Nick Huang
We study the sample complexity of Bayesian recovery for solving inverse problems with general prior, forward operator and noise distributions. We consider posterior sampling accord…