ICON is shown to compute the posterior predictive mean of differential equation solutions, and a generative extension, GenICON, provides samples from this distribution for uncertainty quantification.
Cocogen: Physically consistent and conditioned score-based generative models for forward and inverse problems.SIAM Journal on Scientific Computing, 47(2):C399–C425, 2025
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Probabilistic operator learning: generative modeling and uncertainty quantification for foundation models of differential equations
ICON is shown to compute the posterior predictive mean of differential equation solutions, and a generative extension, GenICON, provides samples from this distribution for uncertainty quantification.