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Simulating infinite-dimensional nonlinear diffusion bridges
However, simulating the diffusion bridge for natural data can be challenging due to both the intractability of the drift term and continuous representations of the data.
Conditioning non-linear and infinite-dimensional diffusion processes
Generative diffusion models and many stochastic models in science and engineering naturally live in infinite dimensions before discretisation.
A Denoising Diffusion Model for Fluid Field Prediction
We propose a novel denoising diffusion generative model for predicting nonlinear fluid fields named FluidDiff.
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