GRIFDIR: Graph Resolution-Invariant Diffusion Models over Irregular Domains

arXiv:2605.03497 · cs.LG · Submitted 2026-05-05 · Read on arXiv

cs.LG

Submitted: 2026-05-05

Updated: 2026-09-29

Code: https://github.com/yzshi5/MINO

Terminology

• Diffusion Model — 3× in this paper · explained in 9 episodes
• Diffusion Models — 3× in this paper · explained in 6 episodes
• Fidelity — 1× in this paper · explained in 2 episodes

Sources

• Structure-Preserving Operator Learning
• Function-Space Decoupled Diffusion for Forward and Inverse Modeling in Carbon Capture and Storage
• Decoupled Diffusion Sampling for Inverse Problems on Function Spaces
• Beyond Regular Grids: Fourier-Based Neural Operators on Arbitrary Domains
• Geometry-Informed Neural Operator Transformer
• Diffusion-Based Hierarchical Graph Neural Networks for Simulating Nonlinear Solid Mechanics

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