activity
20142022
most citedBayesian approach to inverse problems for functions with variable index Besov prior

12 citations · 64 across the 21 of their papers we have counts for

collaborators
Showing 2022Show all

2 papers · 1 filter

math.NA2022★ 4 cited

Non-centered parametric variational Bayes' approach for hierarchical inverse problems of partial differential equations

Jiaming Sui, Junxiong Jia

This paper proposes a non-centered parameterization based infinite-dimensional mean-field variational inference (NCP-iMFVI) approach for solving the hierarchical Bayesian inverse p…

math.NA2022

Variational Inverting Network for Statistical Inverse Problems of Partial Differential Equations

Junxiong Jia, Yanni Wu, Peijun Li +1

To quantify uncertainties in inverse problems of partial differential equations (PDEs), we formulate them into statistical inference problems using Bayes' formula. Recently, well-j…