Pretraining a neural operator in lower dimensions

AP Hemmasian, AB Farimani - arXiv preprint arXiv:2407.17616, 2024 - arxiv.org
There has recently been increasing attention towards developing foundational neural Partial
Differential Equation (PDE) solvers and neural operators through large-scale pretraining …

Zero-shot uncertainty quantification using diffusion probabilistic models

D Shu, AB Farimani - arXiv preprint arXiv:2408.04718, 2024 - arxiv.org
The success of diffusion probabilistic models in generative tasks, such as text-to-image
generation, has motivated the exploration of their application to regression problems …