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cs.LG2026
Supervised Guidance Training for Infinite-Dimensional Diffusion Models
Elizabeth L. Baker, Alexander Denker, Jes Frellsen
Score-based diffusion models have recently been extended to infinite-dimensional function spaces, with uses such as inverse problems arising from partial differential equations. In…
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…
cs.LG2025
Infinite-dimensional Diffusion Bridge Simulation via Operator Learning
Gefan Yang, Elizabeth Louise Baker, Michael L. Severinsen +2
The diffusion bridge, which is a diffusion process conditioned on hitting a specific state within a finite period, has found broad applications in various scientific and engineerin…