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math.NA2026
Learning Informative Prior with Infinite-Dimensional Continuous Normalizing Flow for Bayesian Inverse Problem
Yang Zhao, Junxiong Jia, Tao Zhou
This paper addresses infinite-dimensional Bayesian inference for inverse problem of partial differential equations with model parameters in infinite-dimensional Hilbert space. To e…
math.NA2024
Functional normalizing flow for statistical inverse problems of partial differential equations
Yang Zhao, Haoyu Lu, Junxiong Jia +1
Inverse problems of partial differential equations are ubiquitous across various scientific disciplines and can be formulated as statistical inference problems using Bayes' theorem…