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math.NA2023
VI-DGP: A variational inference method with deep generative prior for solving high-dimensional inverse problems
Yingzhi Xia, Qifeng Liao, Jinglai Li
Solving high-dimensional Bayesian inverse problems (BIPs) with the variational inference (VI) method is promising but still challenging. The main difficulties arise from two aspect…
math.NA2022★ 2 cited
A deep domain decomposition method based on Fourier features
Sen Li, Yingzhi Xia, Yu Liu +1
In this paper we present a Fourier feature based deep domain decomposition method (F-D3M) for partial differential equations (PDEs). Currently, deep neural network based methods ar…