Generative Priors Conditioned on Natural Language for Bayesian Inversion in PDEs
Two parallel approaches to inference and uncertainty quantification over QoI are developed, one uses conditional diffusion and the other conditional autoencoders, and are compared against classical Bayesian methodology, unconditional generative models and deterministic supervised methods.
Peng-Yu Zhang, Mark Girolami, Arnaud Vadeboncoeur
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