arXiv Machine Learning By Mengdi Chu, Jiaxin Yang, Angus G. Forbes, Nathan Debardeleben, Earl Lawrence, Ayan Biswas, Han-Wei Shen

DiffUNet^2: Bidirectional Conditional Diffusion for Probabilistic Scientific Spatiotemporal Modeling

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DiffUNet^2 is a bidirectional conditional diffusion model designed for probabilistic scientific spatiotemporal prediction, enabling both forward and backward inference within a single framework. The authors evaluate the model on four datasets covering fluid dynamics, chemical reaction dynamics, and material deformation, demonstrating strong predictive performance and high-quality probabilistic ensembles compared to deterministic and probabilistic baselines. Additionally, DiffUNet^2 supports target‑guided state editing, allowing users to specify and explore states of interest in either temporal direction.

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