2 papers
math.ST2026
On the contraction rate of the posterior distribution for nonlinear PDE parameter identification
Yuxin Fan, Bangti Jin
In this work, we investigate the estimation of a parameter in PDEs using Bayesian procedures, and focus on posterior distributions constructed using Gaussian process priors, an…
math.NA2025
Solving Inverse Acoustic Obstacle Scattering Problem with Phaseless Far-Field Measurement Using Deep Neural Network Surrogates
Yuxin Fan, Jiho Hong, Bangti Jin
In this work, we investigate the use of deep neural networks (DNNs) as surrogates for solving the inverse acoustic scattering problem of recovering a sound-soft obstacle from phase…