Integrating image inpainting into an ensemble score filter to track surface quasi-geostrophic dynamics under partial observations
The work develops an ensemble score filter (EnSF) that integrates image inpainting to address data assimilation with partial observations: at each filtering step a training-free diffusion model estimates the observed states by incorporating likelihood information into the score function, and image inpainting methods then predict the unobserved state variables, with performance demonstrated by tracking Surface Quasi-Geostrophic (SQG) model dynamics across a variety of scenarios as a proof of concept.