A pixel-space hierarchical video diffusion transformer solves PDE forward, inverse, and sparse-observation tasks by inpainting trajectories, with reported order-of-magnitude error reductions on several 2D benchmark PDEs.
Invariant recurrent solutions embedded in a turbulent two-dimensional kolmogorov flow
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VideoPDE: Unified Generative PDE Solving via Video Inpainting Diffusion Models
A pixel-space hierarchical video diffusion transformer solves PDE forward, inverse, and sparse-observation tasks by inpainting trajectories, with reported order-of-magnitude error reductions on several 2D benchmark PDEs.