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cs.LG2026
RED-DiffEq: Regularization by denoising diffusion models for solving inverse PDE problems with application to full waveform inversion
Siming Shan, Min Zhu, Youzuo Lin +1
Partial differential equation (PDE)-governed inverse problems are fundamental across various scientific and engineering applications; yet they face significant challenges due to no…
cs.LG2024
Efficient and generalizable nested Fourier-DeepONet for three-dimensional geological carbon sequestration
Jonathan E. Lee, Min Zhu, Ziqiao Xi +3
Geological carbon sequestration (GCS) involves injecting CO into subsurface geological formations for permanent storage. Numerical simulations could guide decisions in GCS proj…
cs.LG2024
Fourier-MIONet: Fourier-enhanced multiple-input neural operators for multiphase modeling of geological carbon sequestration
Zhongyi Jiang, Min Zhu, Lu Lu
Geologic carbon sequestration (GCS) is a safety-critical technology that aims to reduce the amount of carbon dioxide in the atmosphere, which also places high demands on reliabilit…