2 papers
math.NA2025
Sequential Monte Carlo with Gaussian Mixture Approximation for Infinite-Dimensional Statistical Inverse Problems
Haoyu Lu, Junxiong Jia, Deyu Meng
By formulating the inverse problem of partial differential equations (PDEs) as a statistical inference problem, the Bayesian approach provides a general framework for quantifying u…
math.ST2024
Consistency of Variational Inference for Nonlinear Inverse Problems of Partial Differential Equations
Shaokang Zu, Junxiong Jia, Deyu Meng
We investigate the convergence rates of variational posterior distributions for statistical inverse problems involving nonlinear partial differential equations (PDEs). Departing fr…