Drifting Fields are not Conservative
Drift fields in generative models are generally non-conservative; sharp normalization makes them gradients of a scalar potential, bridging to Wasserstein gradient flows and denoising score matching.
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Flexible and Efficient Probabilistic PDE Solvers through Gaussian Markov Random Fields
Fast probabilistic counterparts to numerical PDE solvers, powered by SPDEs & sparse linear algebra.
Scaling up Probabilistic PDE Simulators with Structured Volumetric Information
Introduces GP-FVM, a probabilistic counterpart to the finite volume method, enabling large-scale probabilistic PDE simulations.